Middle Math Brain Talk

Stepping Into the Shoes of Pandemic Students At Home

I started off the year with so much patience for my students. Everyone needed grace in this unprecedented time where overwhelming stress and anxiety were rampant due to a variety of circumstances. Despite the fact that this probably remained true for the entirety of the year, I did begin to expect students to eventually adapt to the new status quo and held them more responsible for completing their work and being a "good" student. Frustration seeped back into my response towards lack of attendance and work completion, especially for students who remained completely virtual. It felt like I had structured my classes to be fool proof and laid out all of the expectations clearly. When I took a breath and really thought about what the situation was like at home for my fully virtual students, however, I realized again that students were thrown into a situation that they were most definitely not prepared for mentally and emotionally. I created a little video of what I imagine attending classes from home is like for some of my 8th graders.

After creating this video, I realized I was holding my students to a standard of maturity that I most certainly did not have when I was in 8th grade. It pushed me to find different ways of encouraging my students and feeling less frustrated when inevitably, some students continued to struggle.

A Vision For the Future

Technology has radically changed the world landscape from the way we communicate and interact with other people to how we learn. The changes are ongoing and happening at a frightening speed. We have been racing down a dark tunnel at 100 miles per hour, enjoying the thrill, but not fully knowing where we might end up and what damage is being done. Education is no exception. Once strictly brick and mortar schools that boasted the use of their overhead projectors are now filled to the brim with Smartboards, Chromebooks, and iPads, with teachers and students accessing, using, and creating all sorts of websites and apps. In theory, this abundance of technology should be exciting, as all sorts of opportunities that weren’t possible before are at the fingertips of even our most disadvantaged students, according to the companies that sell their products and services (Doxtdator, 2017). The issue lies in the fact that educators, and in turn, students, were not properly trained in the usage of this technology and that long term effects like student privacy (Blumenstyk, 2018), ecological impacts (Ahmed, 2016), and social-emotional well-being (Domingues-Montanari, 2017) were not fully considered before integrating all of this technology into our schools. Schools need to take a step back and remember their fundamental goal: preparing our students for their futures by teaching them to become independent, critical, and creative thinkers. Achieving this is no simple task, but it can start with increasing opportunities for real world application and collaboration as well as putting a sharper focus on developing digital literacy amongst students and staff.

There is no question that technology is here to stay, and that schools must be a part of engaging our students in developing their digital literacy skills. What needs to be done in conjunction with integrating technology is to take on a more critical lens when evaluating what tools are being used currently, how they got there, whether or not they actually enhance student learning, and if there are better ways to achieve the same goals, much like Chicago Public Schools did with Google (Singer, 2017). Instead of assuming technology must be incorporated, schools should question when it is appropriate and how teaching and implementation can be structured to model safe and critical practices. While there must be exposure to various programs and development of skills, like coding, that will benefit students in this digital age, there must also be an equal focus on making sure students are aware of their online footprints and that students are encouraged to develop principled online social etiquette, or "netiquette" to mitigate cyberbullying (Park et al., 2014).

An increased focus on technology does not mean schools should do away with in-person interactions. On the contrary, it is imperative that students are given ample opportunities to develop soft skills, like empathy and critical thinking, that cannot be achieved solely with technology (Marr, 2018). Project-based learning (PBL) is an ideal way of merging both technology and in-person interactions for an authentic learning experience focused on the whole student (Vogler et al., 2018). Not only does PBL expose students to real-world applications of concepts that have mostly been taught through a textbook and develop important skills like collaboration and communication, it can also increase intrinsic motivation and improve health and wellbeing (Allison et al, 2015).

The stakeholders of our education systems, namely our parents, teachers, administrators, and policy makers, must buy into the belief that in order for our students to be taught to successfully use technology in a responsible and healthy manner, our teachers must also learn to do so and require investment in the form of meaningful, ongoing training as well as funding. It will be an investment in a future where students become professional, kind, and effective digital citizens that are phenomenal team players as well as influential leaders.


References

Ahmed, S.F. (2016, September 29). The global cost of electronic waste. The Atlantic. Retrieved from https://www.theatlantic.com/technology/archive/2016/09/the-global-cost-of-electronic-waste/502019/

Allison, P., Gray, S., Sproule, J., Nash, C., Martindale, R., & Wang, J. (2015, August 27). Exploring contributions of project-based learning to health and wellbeing in secondary education. Improving Schools, 18(3), 207–220. https://doi.org/10.1177/1365480215599298

Blumenstyk, G. (2018, July 31). Big data is getting bigger. So are the privacy and ethical questions. The Chronicle of Higher Education. Retrieved from https://www.chronicle.com/article/Big-Data-Is-Getting-Bigger-So/244099

Bowles, N. (2018, October 26). The digital gap between rich and poor kids is not what we expected. Retrieved from https://www.nytimes.com/2018/10/26/style/digital-divide-screens-schools.html

Domingues-Montanari, S. (2017, February 6). Clinical and psychological effects of excessive screen time on children. Journal of Pediatrics and Child Health. 53(4), 333-338. https://doi-org.proxy1.cl.msu.edu/10.1111/jpc.13462

Doxtdator, B. (2017, December 16). The propaganda behind personalised learning [web log]. Retrieved from https://www.longviewoneducation.org/propaganda-behind-personalised-learning/

Marr, B. (2018, August 6). 7 job skills of the future (that AIs and robots can't do better than humans). Forbes. Retrieved from https://www.forbes.com/sites/bernardmarr/2018/08/06/7-job-skills-of-the-future-that-ais-and-robots-cant-do-better-than- humans/#34216a8f6c2e

Park, S., Na, E., & Kim, E. (2014, July). The relationship between online activities, netiquette, and cyberbullying. Children and Youth Services Review. 42, 74-81. https://doi.org/10.1016/j.childyouth.2014.04.002

Singer, N. (2017, May 13). How Google took over the classroom. The New York Times. Retrieved from https://www.nytimes.com/2017/05/13/technology/google-education-chromebooks-schools.html

Vogler, J., Thompson, P., Davis, D., Mayfield, B., Finley, P., & Yasseri, D. (2018). The hard work of soft skills: augmenting the project-based learning experience with interdisciplinary teamwork. Instructional Science. 46(3), 457-488. DOI:10.1007/s11251-017-9438-9

FAD 2.5 (really 2.0 with some tweaks)

Original Formative Assessment Design 2.0 Blog Post:

In an earlier blog post, I described using an exit ticket as a metacognitive tool for students. I described a two-part, daily exercise to be completed at the end of each class to help students identify their understandings as well as areas for improvement. I also voiced a couple concerns about this model; I was worried that this practice wouldn't be manageable due to time constraints, and that I would struggle to come up with a comprehensive checklist of skills I would want students to master each unit.

After giving this assignment more thought, I believe these changes to the design of this exit ticket can alleviate some of the issues, and make this a formative assessment I can regularly use in my classroom:

1) Use it once a week, instead of every class period. Students will have time to work on their goals and reflect on their growth. This alleviates time pressure for both students and teacher.

2) Make the checklist a living document. Instead of presenting the list of skills as set in stone, encourage students to evaluate what skills are listed and even add their own goals for the unit. This leaves room for changes during the unit and takes the pressure off of the teacher to have it perfect for students. It also individualizes it to each student's needs and empowers them to take ownership of their learning.

I also decided to change some of the language I used to help it come across as a more positive, growth-focused activity. For example, instead of calling it simply a reflection form, I also included "goal setting" in the title to focus on the students' active role in the learning process.

The main aspect I am struggling with this exit ticket idea is arguably the most important one. How am I, the teacher, going to act on the information I receive from the students? What kind of feedback can I give them to help them reach their goals? For now, I see myself identifying the common trouble-areas my students identify for themselves and addressing them in class somehow. I suppose the vague nature of what areas students feel they need to work on could make this difficult to do. Should I change the wording of the questions to limit it to conceptual difficulties? Should they only address the specific skills that are outlined in Part 1 of this activity (the checklist) as goals to work on in their reflection during Part 2 (the Google form)? This would simplify things, but then again, I also want to make sure students are meta-cognitively aware of classroom behavior, amongst other skills outside of just conceptual understanding.


Update to FAD 2.0 (Now FAD 2.5!):

This formative assessment is designed to give students a voice in their learning and push students to practice metacognitive thinking. I realized that students may need additional assistance in developing that voice, so I made the question where students are asked to list the specific things they did well mandatory. When they are required to justify their answers, students will be more likely to truly reflect on the week and provide honest feedback. If they struggle with coming up with their answer, that'll quickly signify to me that they need additional support in completing this self-assessment. I also would like to set aside a time to meet with students individually to review their reflections over time to identify areas of growth and areas that need improvement. In order for this to be effective, students will need a record of their responses, so I've also added in a reminder at the end of the form to make sure they check the box that will email them a copy of their response. Our school district uses Google classroom, so they will all have a designated folder for this activity.

To further understand what students are thinking, I've included a question that asks them to justify the steps they would like to take to improve upon their choice of behavior or skill. The purpose of this assessment is two-fold- not only does it give students voice, it provides me, the teacher, invaluable feedback that allows me to support my students in growing as independent, thoughtful learners. This justification will help me support them identify how exactly to approach their goals.

One last component I've added to this self-assessment is a classmate shoutout. I'd like to encourage my students to observe and take notice of what other students do well in the hopes that they can improve themselves through the examples of others. With time and consistency, it will also, hopefully, foster a more supportive and positive classroom culture.

The beauty of this formative assessment being a Google Form is that it will save me so much time by not forcing me to collect papers each week that I have to individually "grade" and sort. The responses are all in one place and easily sent to individual students by the check of one box.

Philosophy of Assessment

At the close of my graduate course, CEP 813, where we focused on all things assessments, I've come to believe the following things about said subject:

1) The purpose of assessments, no matter how big or small, should be to help students improve and help teachers help students improve (Wiliam, 1998). It seems obvious, but it wasn't always the focus for me. Whether it be a traditional test or a fun game, students should be able to develop their literacy in the subject through the process of creating or taking the assessment (Gee, 2003).

2) Students must be involved in the assessment process, whether it be in the creation of the assessment itself or the analysis of the results (or both). Through the process of actively constructing an understanding of teacher feedback, students can work through misunderstandings and confusion, bettering their ability to monitor their learning (Nicol & Macfarlane-Dick, 2006). There has to be follow through once the assessment has been given.

3) Assessments must be thoughtfully planned out. Sounds simple, right? Not so much. The best feedback is timely, individualized, and diagnostic (Quellmalz, 2013), but to be all those things, teachers must take into careful consideration the length, quality, and tools used to create assessments. Assessment platforms, whether it be low-tech or high-tech, must be evaluated through the lens of universal design of learning; the affordances and constraints of each platform should be carefully considered to ensure accessibility to all students (Meyer & Gordon, 2014). Teachers must also continue to improve their cultural proficiency and remove harmful bias from assessments that have negative impacts on specific groups of students, especially people of color, as they were specifically targeted and negatively impacted in the foundations of our current education system (Mayfield, 2020).

My beliefs about assessment have definitely matured over the last few weeks. I began this course with a narrow view of what assessments are, focusing solely on high-stakes, standardized tests or unit quizzes and exams. In my initial blog post about assessment, I said that students had "some form of major assessment" every week which "doesn't...leave them much breathing room to really stop, think, and enjoy the process of learning". I viewed them as cumbersome and a necessary, but unpleasant task. As I stated in one of my reflections throughout the course, I quickly realized that "teachers can make a huge impact on their teaching and student learning by focusing on creating and embedding meaningful formative assessments daily". My focus on assessments shifted more towards constant formative assessments, rather than summative ones (and who's to say they aren't formative, too?). I never would have viewed game development as an assessment before, but this Twine project is a perfect example of embedding formative assessment into daily activities.

I also realized throughout this course the importance of creating meaningful, well-thought-out assessments. This seems so obvious, yet, I was frequently in the habit of using assessments that were made by other teachers or companies without giving it too much extra thought. I don't think teachers have to create every assessment and reinvent the wheel, but I will definitely be taking into consideration a variety of factors that I may not have before when analyzing the assessments I plan on using. The language, questions, and platform I chose in creating this formative assessment design took into consideration factors like the type of data I would get, whether or not it would be actionable, and what kind of message it sends to students. The assessment design checklist I've been developing over the past several weeks will come in handy during that process and was a huge contributor to the shift in my beliefs. I plan on continuing this careful construction and usage of assessments to improve not only my students' learning, but my teaching and learning as well!


References

Black, P. & Wiliam, D. (1998). Inside the black box: Raising standards through classroom assessments. The Phi Delta Kappan, 80(2), 139- 144, 146-148.

Gee, J. P. (2003). What video games have to teach us about learning and literacy. New York, NY: Palgrave Macmillan.

Mayfield, V. (2020). Cultural competence now. ASCD.

Meyer, A. Rose, D.H., & Gordon, D. (2014). Universal design for learning: Theory and practice. Wakefield, MA: CAST.

Nicol, D., & Macfarlane-Dick, D. (2006). Formative assessment and self-regulated learning: A model and seven principles of good feedback practice. Studies in Higher Education, 31(2), 199–218.

Quellmalz, E.S. (2013). Technology to support next-generation classroom formative assessment for learning. San Francisco, CA: WestEd.

Having Fun With Assessment

I love competition. Whether it be board games, card games, video games, or physical activities, the fight to win always gets me revved up. I try and harness that same fiery competitiveness and focus it into engagement from my students through games in class. Even if there isn't a clear winner, just the fact that having fun is encouraged generally gets all of my students excited and involved. I incorporate concept practice and reviews through activities like scavenger hunts, quiz-quiz-trade, and trashketball, as well as online games like Kahoot and Quizizz. Depending on the game, prep takes a bit of time and effort, but is worth it in the end for all the smiles, collaboration, and learning that occurs.

Over the past few weeks in one of my grad courses, CEP 813, we have been dissecting and analyzing what makes good assessments. We started discussing the uses of game-based assessment (which I'm a total fan of, if you didn't pick that up), but it got me thinking about how beneficial it would be for the students to be the creators of the game. Through each student's creation of a game-based assessment for peers, I can assess their individual understanding and mastery of concepts through their choice of questions, wording, etc. In preparation for a potential virtual opening of school this year, I wanted to use an online platform for having students create this game, so I've decided to try out Twine.

The Challenge

Students will create a game that tests the player's knowledge of slope-intercept form. They will be tasked with creating a storyline for 2-3 characters of their choosing.

I've created a very rough, incomplete draft of what the Twine storyboard would look like. The player will get to choose which character to follow, and the questions will lead them through different, real-life scenarios where they must use math to answer the question.

The questions should become more rigorous as the player progresses, and cover slope, y-intercept, and the application of the equation. If the player gets a question wrong, then it should lead them to an explanation of why that particular answer is incorrect.

The game should include visuals (characters, icons, etc.) and proper use of math terminology.

Assessing Student Understanding

In creating this type of game, students need to consider its semiotic domain, internal grammar, and external grammar. Even if students have no idea what those terms mean, they will be utilizing them to create an interactive, game-based assessment.

Semiotic domain: James Gee (2003) describes semiotic domain as "any set of practices that recruits one or more modalities...to communicate distinctive types of meanings" (p. 18). Math has its own language, using specific symbols, syntax, and terminologies to represent different situations, which students will have to incorporate into the storylines.

Internal Grammar: Internal grammar refers to "the principles and patterns" that are or are not "acceptable or typical content in a semiotic domain" (Gee, 2003, p. 30). Using slope-intercept form and applying it to real-world scenarios requires students to use specific terminology, follow a pattern of writing equations, and use numbers that make sense to the scenario.

External Grammar: External grammar refers to "the principles and patterns" that are or are not "acceptable or typical social practice and identity" in terms of the people involved in this semiotic domain (Gee, 2003, p. 30). Math students are expected to show work, check work, and use logical reasoning, so this will continue to be an expectation when they create this assessment. The players will also be expected to reach out for additional assistance through notes or interactions with their peers and teacher.


Through the creation of this game, students will explore different scenarios that are most interesting to them, see how slope-intercept form applies to those real-world scenarios, and gain a deeper understanding of the concept. If they have any misconceptions, they will appear as illogical or incorrect questions and answers in the storyboard. Students can collaborate in the process of assessing their own assessment by critiquing each other's games and working with the teacher to create a rigorous, fun, accurate, and engaging game-based assessment.


Update

I've completed the story line of one character in a sample Twine game for this project. Check it out here.


References

Gee, J. P. (2003). What video games have to teach us about learning and literacy. New York, NY: Palgrave Macmillan.



Google Classroom: Assessments

One of the key features of all things Google that makes it so appealing to people all over the world in varying disciplines is the user-friendly, collaborative aspect of most G-Suite applications. Being able to work on a document or presentation at the same time as several other people radically changed what group work looked like when it was first introduced, and schools embraced that feature. It's no surprise, then, that Google Classroom came about. Overall, as a course management system (CMS), it is simple, but effective. Teachers can seamlessly incorporate resources from their Google Drive and outside platforms, and students can easily collaborate with both teachers and peers to assess learning. Feedback can be ongoing, using features like comments and revision history.

I created an assessment on Google classroom that demonstrates one way teachers can create an assessment that contains key components of quality assessment, like real-life context, probes for deep understanding, and collaboration, staying within the CMS. This is something I will continue working on as it becomes increasingly important to make effective assessments that are easy to access digitally. Whether or not schools will reopen in-person or virtually, maximizing the benefits of any CMS is beneficial to teachers and students.


Google Classroom: The Basics

During my time as a teacher, I've used several course management systems (CMS). Each had their pros and cons, and it definitely took time to get used to setting up my classroom the way I wanted for each platform. Last year, I was part of a pilot team to try out Canvas as our CMS at the middle school. I started off hesitant, but grew to really appreciate all of the bells and whistles that Canvas had to offer. I especially appreciated the different ways I could assess students on that particular platform. Unfortunately, due to COVID-19, being suddenly thrown into distance learning, and not knowing what the upcoming school year will look like, the district has decided to continue using Google Classroom until further notice. It's been over a year since I've used Google Classroom (and I only used it briefly, and even then not extensively), so I've spent some time combing through the different tools it has to offer to better prepare myself for the upcoming year. I also analyzed the affordances and constraints of each key feature through the lens of assessment, a skill I will need to become more creative about with distance learning.

Continuous Stream

This is the landing page for each class. Students can see a stream of posts from the teacher. This is where teachers can add announcements (with our without attachments), similar to a Facebook page where the newest material goes on top. Teachers and students can comment on the announcements, although this feature can be disabled before posting.

Affordances: The comments feature could be used for class discussions and students asking questions (and other students answering them).

Constraints: Comments are visible to everyone, so it may hinder students who are not comfortable with risk. It would also be useful if teachers had the ability to split discussions into smaller groups. The comments are also a constant stream, which may not be helpful when trying to reply to a specific comment several comments above where the newest one is posted.


Classwork Page

This page is where teachers post assignments and students can access resources from the entire school year. There are quick links to Google Meet, Google Calendar, and the Class Drive Folder where teachers can organize further materials.

Affordances: Students are able to easily submit work directly on the assignment post. The assignments can be varied, depending on what G-Suite tool the teacher decides to use (Forms, Slides, Docs, etc.). Assignments can also be linked to outside platforms like Quizizz and Khan Academy. Google Forms, especially, is great for quick formative assessments, as it can be set up to auto-grade. When posting a Google Forms quiz, teachers also have the option of turning on "Locked Mode" for Chromebooks. This ensures students cannot open tabs while taking this quiz. There's also a "View your work" button that shows students all of their completed work, so that it makes it easy for them to identify what they've accomplished. The topics are organized on the left and are clickable for easy access. Last, but not least, teachers also have the ability to create a rubric easily when creating assignments, a tool that helps not only teachers when grading, but students when completing assignments. It's a quick and easy way for them to self-assess before submitting work.

Constraints: It would be nice if students were able to submit an assignment as a group. This would allow for quicker grading and feedback. It is definitely more difficult for students to submit written work. Certain file types also aren't accepted, so students will have to use specific applications to meet that need.


Grading Page

This page looks like a traditional teacher's gradebook, but with a major upgrade: each assignment is clickable, taking teacher and students straight to the submitted assignment. From there, students can comment privately to the teacher, and teachers can easily respond, which is a great feature for feedback.

Affordances: The comments teachers make on submitted assignments can be saved into a comment bank, a time-saving feature that allows teachers to provide feedback to each student quickly. A quick glance at the gradebook is also a great way for students to know what assignments they are missing and what assignments teachers still need to grade.

Constraints: Comments made directly on the document can be accidentally "resolved" and disappear before reading. They can still be viewed, but it won't be apparent on the document. Teachers are also unable to mark directly on the assignment to provide more in-depth feedback.


Privacy Policy

Although this may not be a direct feature on the classroom page, it is one that should be noted by schools before opting for one CMS or other. Google's privacy policy for G-Suite for Education assures me that information collected from laptops and usage of their tools will not be shared with outsiders other than to our districts administrators unless there is user consent or legal reasons. I feel confident my information and my students' information will not be abused when posting information to my students through Google Classroom.


Formative Assessment Design 2.0

In an earlier blog post, I described using an exit ticket as a metacognitive tool for students. I described a two-part, daily exercise to be completed at the end of each class to help students identify their understandings as well as areas for improvement. I also voiced a couple concerns about this model; I was worried that this practice wouldn't be manageable due to time constraints, and that I would struggle to come up with a comprehensive checklist of skills I would want students to master each unit.

After giving this assignment more thought, I believe these changes to the design of this exit ticket can alleviate some of the issues, and make this a formative assessment I can regularly use in my classroom:

1) Use it once a week, instead of every class period. Students will have time to work on their goals and reflect on their growth. This alleviates time pressure for both students and teacher.

2) Make the checklist a living document. Instead of presenting the list of skills as set in stone, encourage students to evaluate what skills are listed and even add their own goals for the unit. This leaves room for changes during the unit and takes the pressure off of the teacher to have it perfect for students. It also individualizes it to each student's needs and empowers them to take ownership of their learning.

I also decided to change some of the language I used to help it come across as a more positive, growth-focused activity. For example, instead of calling it simply a reflection form, I also included "goal setting" in the title to focus on the students' active role in the learning process.

The main aspect I am struggling with this exit ticket idea is arguably the most important one. How am I, the teacher, going to act on the information I receive from the students? What kind of feedback can I give them to help them reach their goals? For now, I see myself identifying the common trouble-areas my students identify for themselves and addressing them in class somehow. I suppose the vague nature of what areas students feel they need to work on could make this difficult to do. Should I change the wording of the questions to limit it to conceptual difficulties? Should they only address the specific skills that are outlined in Part 1 of this activity (the checklist) as goals to work on in their reflection during Part 2 (the Google form)? This would simplify things, but then again, I also want to make sure students are meta-cognitively aware of classroom behavior, amongst other skills outside of just conceptual understanding.

IXL for Homework: How I currently use it, and how it should be used.

In math, it's common to see homework assigned each night, consisting of a set of problems that provide practice of a specific skill learned that day in class. There are mixed opinions from educators and students alike on "drill and kill" methods, but regardless, it's commonplace. Homework serves to reinforce ideas, but also to help students and teachers identify where students are still struggling so that teachers can reteach it the next day.

Our school district subscribed to IXL this year. It's a website with questions broken down by grade level for math, language arts, social studies, science, and Spanish. Many of our teachers have embraced using this tool to assign homework, to use during remediation, and for in-class practice in lieu of worksheets. I mostly use it to replace the typical worksheets and textbook problems I would normally have assigned for homework. What makes IXL different from other sites and worksheets is the immediate feedback it gives to students and teachers. If a student gets a question wrong, instead of just moving on after informing them that it is incorrect, they provide a thorough, step-by-step explanation of how to complete the problem. Teachers have access to analysis of student progress, and are provided with breakdowns of what types of questions students had the most trouble with, among other useful information.

To be completely honest, I haven't really used this tool to it's full potential. I've glanced at the analytics that are provided, but I generally only look at it to determine who completed homework. This is pretty much the same practice I followed with traditional paper and pencil homework checks. I glanced to make sure some effort was made to try out all problems, but didn't look for accuracy. Students were responsible for asking questions about problems they got incorrect when we checked the answers together. With IXL, I rely on the fact that, in order to get to a certain score, students have to have a certain level of understanding, and the students who need more repetition have to complete more problems. There are a lot of reasons why this isn't the most effective way of using this tool, including, but not limited to students using Photomath, having other people complete their work, and deciding not to get to the prescribed score (or are unable to do so). IXL has several features that make it a powerful assessment tool, but I know a lot of teachers are like me and don't take full advantage.

In my previous blog post, I discussed my creation of a 5 question assessment design checklist. When considering the design of IXL using my checklist (it only has two questions so far), it fails to "pass" one of the questions, but does exceed expectations for the other. Most, but not all, IXL math strands do not provide students with real world context, and it provides no opportunity to demonstrate their thought process (students fill in only their answer). What it does well, however, is provide both teachers and students actionable feedback. IXL has a diagnostic test that pinpoints the exact weaknesses and strengths of each student and recommends specific strands students can practice to improve their diagnosis. Students should be encouraged to work on the diagnosis regularly, since it quickly identifies skills taught in previous years teachers may have assumed their students would already have mastered. Even if teachers don't take advantage of that specific aspect of IXL and use it for homework like I do, I'd recommend that teachers utilize the ability to browse the specific problems students got incorrect. If there's a problem several students got incorrect, it'd be helpful to review it in class the next day. This ensures that even if there are students who are unwilling to make themselves vulnerable and ask questions in class, they benefit from the review.

I wonder, though, if we (teachers), could take this one step further. There's minimal incentive for students to slow down and really read the explanations that are given when they get a question wrong. Many of my students click to the next question, hoping to get a problem they recognize. It takes my weaker math students a frustratingly long time to complete one homework assignment, and many times, I don't blame them for quitting halfway. Instead of punishing them for struggling, perhaps we could rework the homework assignment to make it more reflective in nature. They could create a Google Doc or a discussion post where they add a screenshot of at least 5 problems they got incorrect and must explain in their own words why they got it wrong. If they're unable to explain, then they're responsible for identifying which part of the IXL explanation they don't understand. Is it the vocabulary? A general concept? If a student doesn't get any questions wrong, then it should be smooth sailing for them to get to the maximum score. This promotes metacognitive thinking and thoughtful reflection. The bellwork could be a Google Form that students fill out with their top 3 questions from their homework assignment, and the teacher could quickly glance over the feedback and address those questions. This gives voice to shy students who normally wouldn't feel comfortable asking questions, and the feedback meaningfully shapes teacher instruction.

Questions for Every Assessment

What are the makings of a quality assessment?

How does it help move students and teachers forward in their learning and teaching?

These are the overarching questions that I have been tackling these past few weeks while reading insightful publications by various authors on the significance of formative and summative assessments. The main theme agreed upon by all of the authors was that assessments should be used to "support and enhance learning" (Shepard, 2000). You would think that all assessments would already be designed this way - why wouldn't they, right? The reality, however, is not that simple. Mandated accountability testing, educational policies, and teacher training are a few of the factors that have negatively impacted the culture of assessments and its role in the classroom.

So what can teachers do? Well, I learned that there are several key factors to consider when creating an assessment that serves a meaningful purpose. I have decided to create a checklist that summarizes those key ideas into questions that I (and anyone who would like to) can reference when designing assessments to make sure it is an effective one. I would like to keep it to five questions so that it remains a quick process (teachers are always running out of time) and so far, I've come up with two. It's a work in progress, but please feel free to check it out:

Assessment Design Checklist 1.0

Update: ADC 2.0

This week, I delved into more educational research and found that teachers need to also focus on what students actually do with the feedback given to them, instead of just worrying about how to give the feedback. I tried to boil the main ideas that these researchers have discussed into Questions 3 and 4 in my Assessment Design Checklist. The specific papers I read are also listed for your reading pleasure at the end of the document!

Update: ADC 3.0

In this third (and potentially final) version of my assessment design checklist, I've made some minor and major tweaks and additions. First and foremost, you'll notice blue font that indicates additions and chances to my original questions from versions 1.0 and 2.0. There were characteristics of assessment that I needed to describe using more specific and descriptive language for evidence of understanding. I also added a fifth and final question to round out this short, but (hopefully) effective checklist. The other questions are more focused on how the assessment is presented to the students, but this final question was targeted at making sure the design of the assessment is teacher friendly for maximum effectiveness.


Final Update: ADC 4.0

In this final update, I've included a question on equity and personal bias. This is one design area that not many teachers may think to critically evaluate when creating assessments, but is an important one. The United States has a long way to go in repairing the damage that has been sown on people of color since the inception of this country. For years, the achievement gap has been discussed, but the efforts made have not been enough to truly close that gap. It needs to be addressed head on by all educators and should be at the forefront of educational policy reform. Teachers can start by being mindful of their own biases that permeate into lessons and assessments. We can choose to incorporate diverse, culturally sensitive questions that are designed to help all students from a variety of backgrounds grow and succeed.

References

Shepard, L. (2000). The role of assessment in a learning culture. Educational Researcher, 29(7), 4-14.

Formative Assessment Design 1.0

One type of assessment I have not been consistent in using and would like to use moving forward are exit tickets. I want to combine exit tickets with student reflection, another activity I know I do not do nearly enough, despite knowing its benefits. I would like to set a classroom norm where students know to, with five minutes left in class, open up their Chromebooks and complete the exit ticket every day. I envision this having two parts:

Part 1) Students go to their unit reflection document and review a checklist of things they need to understand for the unit. If they feel they learned and understand something on this checklist, they can mark it as complete. I imagine myself using this checklist at the beginning of class as well, using it to review the objectives for the day ("Hey class, today, our focus will be on #1-3 on our unit checklist!"). They could add example problems and notes to each checkmark they put down, summarizing their understanding. This then transforms this document into something that not only allows students to quickly mark off what they do or do not understand, it becomes a handy set of notes they can reference when studying for a summative assessment.

Part 2) Students fill out a Google form where they reflect on what they did well that period, what they struggled with, and what steps they need to take to improve. My hope would be to develop ownership for their learning and a growth mindset in my students through this regular practice of self-reflection.

My main concerns with this idea are:

  • My ability to consistently create a comprehensive checklist for every unit we cover

  • Time constraints- 5 minutes each day may not be enough, and I have a bad habit of working to the bell (which is why I have not been consistent with exit tickets in the first place)

  • Reading through the reflections adds more work for me each day that I just do not have the time for on top of everything else I need to do

I need to give this idea some more research and thought, but for now, I have created a Google form that could work for Part 2 of this idea.

Under the Microscope: Assessments

Let's take a look at one of my pre-algebra quizzes. This was given to my students after several weeks of going through combining like terms, one-step equations, two-step equations, and distribution. They had mini quizzes for the topics that I listed, but this quiz combines them all and is meant to show me which students can demonstrate all of these skills together.

Multi-Step Equations Quiz.pdf
Figure 1: Pre-algebra quiz on multi-step equations

Some assumptions that I made when making this assessment:

  • Students know that they are supposed to fill in the blanks with one of the words from the word bank

  • Students will be able to fit all of their work into the space given

I stated in a previous blog post that assessments are an important way for teachers and students to see what students do or do not understand. This quiz was definitely helpful to that end, especially when students were able to show step-by-step work. I could easily evaluate where students made mistakes and know which concepts I had to review in class the next day. The vocabulary section is more straightforward, requiring rote memorization. Students either knew or did not know the terms, and if they got any of those questions incorrect, they knew which terms they needed to review.

This quiz does not, however, ask students to demonstrate any deep level of understanding of why they do what they do to solve the equations. Students can ace this quiz by memorizing the general patterns of how to solve equations without understanding why they have to balance equations. This is largely in part due to my desire for efficiency; this quiz was meant to be a quick skills check so that I knew what students needed more practice on, give them that practice, and move on to the next chapter. Shepard (2000) argues that assessments need to "better represent important thinking and problem solving skills" (p. 7), and I wonder how I can incorporate more of this into my assessments, and if it is even necessary for me to stress over including those aspects in all of my assessments. Perhaps it would be best to balance quick formative assessments like this quiz that I created with checks for deeper understanding embedded throughout the week. Would that only increase the amount of assessments I give, leading to more student (and teacher) stress? I may just be stuck in my small view of what assessments should look like in a math classroom, and need to open up my eyes to different ways I can embed checks for deep understanding by "devise[ing] more open-ended performance tasks to ensure that students are able to reason critically, to solve complex problems, and to apply their knowledge in real-world contexts" (Shepard, 2000, p. 8).

References

Shepard, L. (2000). The role of assessment in a learning culture. Educational Researcher, 29(7), 4-14.

Making Connections to Behaviorism

Through this week’s readings in one of my current graduate courses, CEP 800, I learned about the roots of modern theories of behaviorism and several technical terms that allow me to use precise language when discussing learning and human behaviors. I learned that habits can be broken down into a three part system (cue, routine, and reward), and that to change a habit for good, there needs to be belief in oneself and the process (Duhigg, 2012).

One idea that I would like to try and implement more in my life is The Golden Rule. The Golden Rule is to keep the cue and the reward the same, but to change the routine to increase chances for success in changing a habit (Duhigg, 2012). Reflecting on the various habits that I want to modify required me to think metacognitively and break down the reasons why I make certain decisions. It helped me to feel more in control of my actions and that it is possible to change certain habits I have had for the majority of my life.

The various anecdotes of people changing habits were especially inspirational. It also opened my eyes to how much of our “decisions” are actually manipulated by big companies, especially toothpaste (Duhigg, 2012)! Although I would like to think that I would brush my teeth regardless of that tingly sensation that is added to toothpaste for the sole purpose of getting people addicted to brushing their teeth, I do thoroughly enjoy that clean feeling and recognize it as a craving. I tried toothpaste without that minty sensation at my parents’ house, and I now always make sure to bring my own when I go over to their place. At least as long as people know they are being manipulated, they can choose what they allow and will not allow to manipulate them, or to put it bluntly, practice informed manipulation.

The idea that old habits remain dormant and ready to resurface definitely felt relevant to my current situation (Duhigg, 2012). I fell very quickly into old sleep patterns and bad habits when quarantine began. The usual cues for starting my day, like my alarm at 6:30 AM and students waiting for me to begin class at 8:00 AM, were taken away, which then led to a change in my routine (sleeping in), and gave me a different reward (watching t.v., snacking, browsing social media throughout the day). Consistency and structure, despite it seeming automatic throughout the year, definitely needs to be given serious thought when initially being planned out, before it becomes a habit.

I also realized this week that, despite not knowing the technical terminology, I utilize a lot of ideas of behaviorism in my professional life. As a teacher, I frequently use operant conditioning to modify student behaviors. I use positive reinforcements much more frequently than negative reinforcements, whether they be rewards or punishments. Common examples are verbal praise or reprimands for work completion, feedback on assessments, and prizes during review games. Parents seem to commonly use negative punishments, like taking away students’ access to technology, to modify poor student behavior. One way I train my dog also seems to align with connectionism. I praise or give treats when my dog does a positive behavior on her own. In the dog training community, this is called capturing, and it leads to my dog doing those behaviors even when I have not asked for her to do it. My dog connects the action she is doing to the treats she is being given and will offer up that behavior without prompting. The more frequently I capture her behaviors, her association, or as Thorndike might put it, her “bond” between her actions and the treats will become stronger (Resnick & Ford, 1981).

Figure 1: My dog, Riley, offering a sit as a way of begging to get up on the couch.

References

Duhigg, C. (2012). The power of habit. Random House.

Resnick, L. B., & Ford, W. W. (1981). The psychology of mathematics for instruction. Routledge.

*Ahem* Knowledge check. Testing. Testing.

Assessment is something you can’t get away from in teaching. Whether you’re talking about quizzes, tests, quick formative games, or state assessments, they are present in every classroom. They’ve definitely got their uses. It helps students figure out what they do or don’t understand about the material we’re covering in class, and it helps me, the teacher, figure out where the misunderstandings lie. Despite how useful it can be, the way assessment is implemented in classrooms isn’t always the best. They are generally too high-stakes, causing students to stress about the grade and pulling away from what should be the focus (understanding the material). I also find that many of my students have some form of major assessment (by this, I mean one that has a significant impact on their grade) every week. This doesn’t seem to leave them much breathing room to really stop, think, and enjoy the process of learning.

Not only is there very minimal training for teachers on meaningful assessments in and outside of teacher college, but it seems that much of the policies involving assessments is politically driven (never a good sign when people who aren’t educators are making decisions about education). As it is now, assessment seems to, more often than not, act as a hindrance to learning than a great tool to enhance learning. That being said, I haven’t really figured out what better strategies to use in my classroom, which is why I’m hoping to learn a thing or two from my current graduate class, CEP 813.

I do believe, however, technology will be the key in streamlining the testing process and transforming what assessment looks like in the classroom. Already, things have changed for the better since the prehistoric days when Wi-Fi and Chromebooks weren’t common amenities in schools. Tools like Kahoot and Quizizz have significantly increased engagement in thousands of classrooms across the world while allowing teachers to quickly collect valuable data through fun assessments. I’m sure there are so many different ways to revamp assessment and how it’s done in the classroom. It’s just a matter of figuring out how!


Assessment Reflections

* Update 1- a few weeks into CEP 813, a course where we dive deep into assessments and how people learn, I've decided that my view of assessments, especially formative assessments, was too narrow and focused too much on summative assessments, like state tests. Teachers can make a huge impact on their teaching and student learning by focusing on creating and embedding meaningful formative assessments daily. Technology provides fun and exciting ways to incorporate them, but I shouldn't get caught up in trying to force technology where it isn't needed. It should augment teaching and good practices, not replace them.

** Update 2- Assessments play a huge part in the learning process. It is the teacher's job to create meaningful, context-driven assessments that allow them to provide feedback to students that not only helps students identify mistakes, but drives post-assessment instruction.


For the love of teaching!

Roko Belic, a filmmaker who created a documentary on happiness, believes that “simple questions, like, What is important to you?” can help people become happier by discovering ways they can “shift” their lifestyles to “reflect [their] values a little bit more” (Berger, 2014). In the context of teaching, this means taking the time to evaluate what drives you as an educator and making sure your teaching practices reflect those beliefs. It sounds simple, but I know that, certain things I do, I do only because that’s what I’m used to being done. This type of reflection and questioning is necessary to drive positive growth and change, and for me, it ensures that I maintain the passion I have for teaching. It reminds me that the well-being of my students and the positive impact I can make on them is the driver of everything I do.

I am proud of how far I’ve come in the last five years. During my first year teaching, like many others, I almost quit. I was able to stick it out not only thanks to great mentors and colleagues, but also because of the belief that I would learn and do better the next year. I was an experimenter, and still am. As Berger describes it, “you wonder about something new or different; you try it out; you assess the results” (2014). I never stop questioning how I can improve and let my curiosity lead to conversations with colleagues, relevant reading, exploration of new technologies, and new experiences.

I’ve created a presentation (see below) to share the methodology behind how I approach teaching and learning. I’m curious to see how this will have changed in another five years!

PQ, CQ, & IQ

References

Berger, W. (2014). A more beautiful question: the power of inquiry to spark breakthrough ideas. New York: Bloomsbury.

An Inquiry-Driven Solution

Wicked problems are ones that cannot be solved, as they are entangled in a complex web of an ever-changing myriad of issues. The world is full of them. Some examples include world hunger, healthcare, poverty, and climate change.

Education is littered with wicked problems. The one that I’ve been struggling with most is how standardized testing seems to be the focus of schools, and not by choice. Many educators (and researchers) agree that students learn best when they are able to ask questions and discover new information themselves instead of being spoon fed the material. Unfortunately, with the pressure teachers receive to make sure students perform well on standardized tests, classrooms are frequently heavily teacher-centered instead of student-centered. Class time is eaten up learning and practicing test taking skills, and to make things worse, students are being subtly (or not so subtly) told that their success is determined by a number they receive on a test.

The past few weeks, I’ve been brainstorming different possible “best bad solutions” for my wicked problem. I wanted to figure out how we could shift education from this culture of standardized testing to one that is more student-inquiry driven. I started this process off by reading A More Beautiful Question, then spent some time doing a question quickfire, gathered data through a survey I created, dug into research journals to see if I could find supportive data, got some great feedback from my professor and classmates in my grad class, and finally came up with a 3-part plan. Like I stated in the beginning of this post, wicked problems are impossible to solve, but I’m hoping that this plan could help move us in the right direction.

I hope (some) things don't go back to normal.

Stores are closed, people are out of jobs, students aren’t allowed to go to school, and standardized testing has been cancelled. Of those four things that I just listed, which one doesn’t seem to matter?

I, for one, hope that standardized testing is cancelled forever. The majority of parents, students, and educators I have spoken with agree that over testing needs to stop. Yes, testing has some uses, but the way it’s set up now has detrimental impacts on education. Students are being taught to the test and growing up with the belief that the results of a skewed exam determine their intelligence and worth to society. This goes against almost everything I’ve learned about best practices for meaningful teaching.

The COVID-19 pandemic has shut down our ability to teach our students face-to-face, but teachers across the globe have pulled together to provide quality education in other forms. The lack of pressure about performance on state tests has given us more freedom to slow down, focus on what matters most, and come up with creative ways to deliver material.

This observation and thought process led me to my wicked problem: How do we shift from a culture of standardized testing to one of student-inquiry driven learning? There’re a lot of factors to consider and a lot of questions to ask, but who do I ask?

Enter: Student-Driven Learning Survey

Creating a survey made the most sense. A survey allows me to gather information and viewpoints from an unlimited number of people from vastly different backgrounds. Creating a survey that actually served my purpose, however, was difficult. Some of my original questions had to be taken out because they required too much specialized knowledge, and others were taken out because they were wicked problems themselves (e.g. how can we bridge the financial gap between schools?). In my current grad class, we’ve been learning about the importance of survey design. It pushed me to add variance in question types and to add detail as succinctly and clearly as possible. I learned to identify bias and rephrase questions so that people taking my survey would be comfortable sharing their honest opinion. Despite how simple the survey seems, it took a lot of iterations and feedback to get to that point.

Organizing the Chaos

This week, I continued reading A More Beautiful Question and used the inspiration that comes so naturally after reading Berger’s thoughtful words to add more questions to my quickfire Padlet. I then printed off those questions, cut them up individually, brainstormed different ways to organize them into categories, and then spent HOURS creating a sketch-note style video, one of the many challenging and creative MAET assignments.

I have never been very interested in video editing. It seemed tedious, and I assumed it required a lot of specialized knowledge about video editing programs. When I realized I had to make a sketch-note video, I semi-panicked. It turns out, that was pretty unnecessary. Yes, there was a learning curve, and I didn’t have any “proper” equipment, but I found that it was really easy to look up how to do specific functions on iMovie after a quick Google search, and a fun challenge figuring out how to video myself with items lying around the house. I ended up using old paint cans and pieces of IKEA furniture I had been saving for no real reason to create my "studio".

Figure 1: Paint cans holding up cell phone stand above more pieces of IKEA furniture and a folding table used as the canvas for the sketch-note video.

The video itself is only a little over four minutes long, but the process that goes into planning out what you’re going to write and draw, what you’re going to say, and figuring out the timing of everything perfectly takes significant time and effort. The end product, though, is so much more interesting than reading an essay about the same topic, and I can see my 8th graders creating similar videos on math topics we cover. It would be almost guaranteed to capture the interest of even some of my tougher students to please, and leave them with an engaging video they can always refer back to throughout the year. Maybe next year!

References

Berger, W. (2014). A more beautiful question: the power of inquiry to spark breakthrough ideas. New York: Bloomsbury.

Searching for Powerful Answers through Beautiful Questions

In my current graduate course, CEP 812, we are reading A More Beautiful Question by Warren Berger. In this book, Berger discusses the important role questioning has to play in sparking thoughtful and powerful change in all areas of life, including, but not limited to, business and education. While reading A More Beautiful Question, I first felt inspired, but then almost immediately overwhelmed. It felt like the descriptions of what teachers shouldn’t do fit exactly what I have been doing as an educator. I am guilty of using a “businesslike efficiency” to “impart as much information as possible to students, within a given time frame, leaving little or no time for student inquiry (Berger, 2014, p. 47).” I felt ashamed for being such a subpar teacher and frustrated because that was how I was taught growing up. Could I be much smarter (whatever that means) and a better teacher if I had been brought up differently? How much responsibility is in my hands versus the schools? Or even my parents? What part does culture have to play? No one can be blamed in my family. My family story is one of American immigrants where we started off with nothing and came to this country to build a life. A life like that doesn’t leave a lot of room for parents to invest a ton of focus on growing questioning skills. The same applies to many of my low-income and immigrant students. What can I as an educator do to help them not end up like me? Is being like me a bad thing? Do I not question enough? I feel like I’m questioning a lot right now.

After this initial onslaught of self-doubt and despair, I realized the answer to one of my questions. The responsibility of what kind of educator I am and can become is mine. Yes, outside factors will affect my actions, especially when my job depends on it, but that doesn’t mean I can’t “fail forward” and attempt new ideas that will push me to become a better educator (Berger, 2014, p. 37). Whether or not my attempts succeed or fail, I will have succeeded in generating new questions that would “generate whole new fields of inquiry (Berger, 2014, p. 16).” I’ve always been a huge proponent of self-reflection, and spending some time generating questions is a wonderful way to kickstart that process.

One of this week’s tasks for my graduate course was to set a timer for five minutes and jot down a constant stream of questions related to my practice (teaching math). There are so many questions to ask about education that I was initially unsure of which question to pick to start. Once I asked my first question, I began to pick up speed. One thought led to another naturally. At the end of five minutes, I had asked several big picture questions for a variety of different aspects of education that I normally wouldn’t even think about.

Figure 1: Padlet of my questions created during the five minute questions quick-fire.

This exercise immediately made me more flexible in my thinking; I felt more elastic and able to process the bigger questions when I realized I “[didn’t] have to know the answers to ask a question (Berger, 2014, p. 62).” I went from complaining about the state of education to asking broad questions about what might cause the sources of my complaints. Now that I’ve come up with these questions, I can begin to move towards taking action by making changes in my teaching practices based off of my reflections. I feel ownership of my teaching practices and engaged in my learning. Now, the big question is, how do I do replicate this experience in my math class?

That question leads to more questions than answers, but if there is one thing I can take away from Berger, it is that I need to become willing to “embrace [my] ignorance” and use questions to propel myself forward and discover ways to improve my teaching the best I can in the given circumstances (Berger, 2014, p. 16).


References

Berger, W. (2014). A more beautiful question: the power of inquiry to spark breakthrough ideas. New York: Bloomsbury.

Leveling the Educational Playing Field with Assistive Technology

Dyslexia impacts students not only by making words on a page difficult to read, but also by limiting working memory (Jordan et al. 2014). Dysgraphia impairs letter writing and the ability to store written words in working memory (Berninger & May, 2011). Both of these disabilities can make learning in a classroom setting difficult. Even in math class, students are expected to take notes, read word problems, understand math-specific terminology, and write out multiple steps.

Strategies like comparing notes with friends, recording lectures, and using diagrams can make a difference for these students (Jordan et al. 2014). Teachers can provide differentiated supports like extended time, manipulatives, and, if available, assistive software. There are many apps and sites available, but not all are created equal. After much digging, I came across EquatIO.

EquatIO has your standard equation editor that allows you to type out equations. What makes it really stand out is the handwriting recognition and speech-to-text functions. “Individuals with specific, biologically based learning disabilities may have to exert extra effort to achieve the same achievement outcomes as their peers (Berninger & May, 2011),” but software like EquatIO can start to level the playing field. Handwriting-induced anxiety can fall into the background for students with dysgraphia when the computer can punch out equations with ease. Students who struggle with decoding math notation due to dyslexia can learn to say the equation using the Read Math Aloud feature.

Technology like this helps make it possible for students with these types of disabilities to demonstrate knowledge of material without obstacles unrelated to math understanding getting in the way. I know a couple of my students are miserable when completing work for my class. What takes most of my students minutes takes them hours, simply because the act of writing itself is hard. I can’t wait to show them EquatIO.


References

Jordan, J., McGladdery, G., & Dyer, K. (2014). Dyslexia in higher education: implications for maths anxiety, statistics anxiety, and psychological well-being. Wiley Online Library, 20, 225-240. DOI:10.1002/dys.1478

Berninger, V. & May, M. (2011). Evidence-based diagnosis and treatement for specific learning disabilities involving impairments in written and/or oral language. Journal of Learning Disabilities, 44(2), 167-183. DOI: 10.1177/0022219410391189



It's March, and I'm a Teacher.

I. Am. Exhausted.

Teacher burnout is real. This COVID-19 induced social distancing break has given me some time to reflect on why I get to this point every year, multiple times a year. I’ve narrowed it down to two overarching categories: lack of engagement and lack of time.

No matter how awesome your lesson might be, if students don’t participate, they’re not going to learn. There’s a myriad of reasons why students may not be engaged:

- Lack of growth mindset: They believe they are “just bad at math” and give up when presented with any difficulty.

- Large gaps in ability levels that are difficult to bridge with differentiation: The material is too boring or too difficult.

- Maslow’s hierarchy: If a kid is hungry or dealing with trauma, math is not on their mind.

- Lack of purpose: many topics will never be used by students outside of the math classroom unless they specifically go into math related fields.

There’s also just never enough time. I spend my prep (as well as hours after school) grading, planning, contacting parents, going to IEP and team meetings, and covering other classes. I’d love to spend more time creating, finding, and filtering resources that are engaging and fit students’ needs. The textbooks just don’t cut it. I’d love to do more project-based learning that’s student-inquiry driven, but there’s too much of a time constraint due to the breadth of curriculum we have to cover for state testing. Collaboration with other teachers is always insightful, but that also requires time that we all don’t have.

Part of me wishes we could completely revamp education. Even if I had the power to do so, how would I change it? What new problems would pop up?

Unlimited Learning

A few weeks ago, I began my NLP (networked learning project) on calligraphy. Since then, I've read through several blogs and watched a couple hours worth of Youtube videos on the topic that have helped me pick up this skill. There were several subpar sources that did not help much, if at all, but I also found several gems that allowed me to understand the basics well enough to practice on my own.

It's pretty cool to see how much I've improved from day 1 of this NLP. It's still a work in progress, but from just a few weeks of practice, I can write in calligraphy fairly well. There are so many skills I could learn this way that I just never took the time to do, and I'm excited to start. Changing a car tire, for example, is something I've pushed off, because I felt that I couldn't do it without someone else's help and I never managed to find time with people that could. What I didn't realize, was that there were THOUSANDS of people out there who could help- just not in person. Youtube has been the best resource for this NLP. Being able to listen and see how others do things is invaluable to the learning process, and I plan to use this experience to jumpstart my continued learning (car tires, here I come!).

Here are some of the main resources I used for this project:

Twitter Chat

I've always understood the concept of Twitter and hashtags, but what I did not realize was that full on conversations called Twitter Chats existed. By searching and following a specific hashtag, you can become a part of a conversation that can be accessed by anyone in the world.

This week, I joined in on one such Twitter Chat. On Friday, I looked up upcoming Twitter Chats and chose one that was a collaboration between teachers from three different countries: India, Nepal, and New Zealand. I searched the hashtag #INZpirEd and was ready to go at 8:00 PM, the scheduled time. Unfortunately, nobody seemed to be on. I waited for about ten minutes, and when the grasshoppers were still chirping, I decided to try out another hashtag. #MMPD also started at 8:00PM and was designated to be about professional development for educators. This, at least, had one other person on and ready to discuss.

The conversation went at a snail's pace and consisted of me being very awkward and not knowing what to say. The wait time between responses was long, which led me to becoming quickly bored and distracted. I'd check in every couple of minutes, and if there was a response, I'd tweet a response back. Once the responses started taking longer than ten minutes to come up, I stopped paying attention altogether. When I checked in near the end of the session, I saw one other person had introduced herself, but had not said anything after that.

Despite this fairly unsuccessful chat experience, I do see how this platform could be useful. If enough people with common interests came on at the same time, you would have immediate access to a global PLN (professional learning network).

NLP Progress Report

Recap: For my NLP (networked learning project), I chose to learn how to write in calligraphy using only online resources like Youtube and help forums (excluding physical materials like paper and pen).

Update: For the first week and a half after starting this project, I practiced the same basic strokes I first learned and tried to piece those strokes into random words using my previous knowledge of cursive.

It. Did. Not. Work.

I started getting really frustrated after tossing several sheets of paper filled with ugly, inconsistent letters. What I was writing looked exactly like what I created back in elementary school when I got to try one of those old school asian calligraphy brushes with no instruction (i.e. a hot mess). I tried Googling "calligraphy practice" and clicking on several promising titles and found some okay sites with similar advice to my first few resources. Not super helpful. Next.

I went onto Youtube. I watched a few videos and was getting mostly similar information and was about to give up for the day when another video started automatically playing. The girl who was talking immediately caught my attention when she mentioned the common mistakes that causes most beginners' frustrations. Did she know I was watching?! Becca (The Happy Ever Crafter) did a great job explaining what not to do, listing the 9 strokes I would need to master, and then, using different colored markers to represent each stroke, wrote out the entire alphabet. Just from ten minutes of practicing what I saw in this one video, I was able to make significant progress!


WikiHow (image). Retrieved from https://www.wikihow.com/Calculate-Unit-Rate

Putting it together

Close your eyes and imagine a math classroom. Go ahead, do it.

Did you picture a teacher at the front of the room with her back turned to the students while solving for x on a whiteboard? Were students sitting in rows? This is definitely the stereotype. Although this may still happen (and sometimes, it's needed), it's not what a 21st century math classroom should look like most of the time. I've known this for a while, but it's always been difficult to verbalize why and how I can change it. Fortunately, the past few weeks, I've been doing a lot of reading on 21st century learning and what that means for students and teachers. I've learned there are a myriad of components that make up a quality 21st century learning experience, which include meaningful use of technology, "just manageable" challenges that pique natural curiosity (Bransford, Brown, and Cocking, 2000), opportunities to contribute (Schwartz as cited in Bransford, et al, 2000), collaboration, and so much more.

This week, I developed a lesson plan while keeping these key components of 21st century learning in mind. My students are starting to learn about comparing proportions and slope, so I did some brainstorming on how I could make the lesson meaningful and interesting while incorporating technology to make the lesson richer in content, and not just use it for the sake of saying I did (Hobbs, 2011). Thankfully, calculating unit rate is something that is easily relatable and compatible with a technology infused lesson. I can say with almost 100% certainty that all of my students have stepped foot in a grocery store, have bought something with a price tag, or have been with someone who did. In this lesson, after getting students comfortable with calculating unit rate through some group practice, students will use their Chromebooks to research and compare prices of items that either they would like to purchase or their family purchases regularly. In doing so, they are learning how to become smarter shoppers using the resources they have (i.e. the internet and math), they can feel confident that they are capable of making informed decisions, and perhaps even help their parents make one, all while mastering common core standards. A win, win situation. They will also be asked to create and present a Google slide with their findings to their classmates (and their parents, if they'd like), as well as summarize why this topic is an important one through a discussion board.

Renee Hobbs, a professor of communication at the University of Rhode Island, lists five core competencies for learning in her book (2011) that led me to choose the activities that I did for this lesson. Under each competency, she lists questions educators can ask themselves to focus their lessons on digital literacy. Here are some of the questions that I answered while creating this lesson:

  • Do students get to use technology tools for finding information, problem solving, self-expression, and communication?

Yes, students are given the opportunity to search for items that have relevance to their lives and learn how to search for specific information.

  • Do students get to apply and use the knowledge they are gaining?

Yes, they are directly applying a math skill to solve real-world problems.

  • Do students get to use problem-solving skills to influence more than one person toward a goal?

Yes, the goal is to help our students become smarter shoppers and learn how to find unit rate. They will be sharing their findings with their classmates, who then learn benefit from learning about the different products other students have researched.

Although this lesson has a big focus on buying products, it is also easy to relate it to other aspects of students' lives like sports, cooking, music, and anything with any type of calculation. With the help of technology, students have the opportunity to really showcase their interests while practicing math skills.

References:

    • Bransford, J. D., Brown, A. L., & Cocking, R. R. (Eds.). (2000). How people learn: Brain, mind, experience, and school. Washington, D.C.: National Academy Press.

    • Hobbs, R. (2011). Digital and media literacy: Connecting culture and classroom. Thousand Oaks, CA: Corwin/Sage.

21st Century Learning

This week, in my grad course CEP 810, we were asked to delve into what 21st century learning means. I spent time reading through various sources on this topic from teachers, psychologists, and other folks in the education field. There were several common themes, three of which I discuss in my video.

Through this research, I found that there are components, like varied uses of technology and collaboration, that I am already doing pretty well, but there are definitely many more that I can improve upon in my classroom.

The most difficult part of this week's project was creating the video. It's one thing to know what you want to say, and another entirely to do it in such a way that it is engaging and concise. Not only that, I also have minimal experience with video editing, so I had to spend a lot of time learning how to use iMovie by turning to YouTube experts. What was nice about this process was that I had the opportunity to demonstrate what 21st century learning looks like while creating a video about just that!

By the end of a couple hours of reading about what others had to say on this subject, I was honestly left with more questions than answers. It seems there's still a lot of work to be done in and outside of the classroom to catch up with the informational age. I'm planning on starting with better usage of technology, more collaborative learning, and problem-based instruction.

Calligraphy 101

Written on 9/22/19

There are some things you just never seem to be able to make time for in life, even if it's something you've always wanted to do. Calligraphy was one of those things for me. I absolutely adore beautiful calligraphy, and typography in general, but learning this skill never made it on my to-do list. That's why I'm super excited that the current grad course I'm taking (CEP 810) incorporates a networked learning project where students are able to choose one thing they've always wanted to learn and learn it! Can you guess what I chose? Yep, calligraphy.

The catch, though, is that we are only allowed to use online resources like Youtube videos, blogs, and social media to learn about our specific topic (which is why it's called a networked learning project). Thankfully, calligraphy (or hand lettering- I use those terms interchangeably, although, apparently, that's incorrect) is super popular, so there are a ton of resources available online. So far, I've found this video and this blog super helpful in getting me started. Neither of those sources encompass everything I need to know, but they definitely gave me enough information to get started. After taking a look at what kinds of tools were commonly used, I went out to Michael's and bought two different types of pens, one brush pen and a set of variously sized chisel pens. Figure 2. shows you my first attempts at calligraphy drills. It's a lot tougher than I thought to get consistent pen strokes, but I'm super hopeful I'll get pretty good quickly!

Figure 1. Mapping of my PLN

Professional Learning Network

Written on 9/21/19

I used to be super introverted. When I took the Briggs-Myers test back in early high school, the results indicated my introversion was pretty extreme. I wasn’t fond of socializing with too many people and generally stuck to hanging out with a small, core group of friends. After a few years of teaching, however, my personality changed significantly. Teaching is made so much better (and easier) when you collaborate with all different kinds of people and develop a support system consisting of other educators. I quickly learned the value of expanding my professional learning network (PLN) to gain and share invaluable knowledge about teaching. Just from closely following three math teachers on Instagram this summer, I’ve managed to try out several interesting new ideas that have made a positive impact on my classroom as a whole.

Instagram is only one of many ways I connect with educators. I spent some time mapping out my PLN (Figure 1) and was interested to see that I’ve done a great job expanding my online resources, but don’t collaborate much with educators outside of work or on the internet. This is probably due to my crazy schedule, but this mapping has definitely made me want to put more effort into getting to know (in-person) some awesome teachers. Tanya Menon, a professor at The Ohio State University, did a great TED talk where she outlines some ways to set myself up to do just that.

Cooking with TPACK

Written on 9/15/19

My husband, when asked to find me a plate, a bowl, and a utensil without any context, brought me a dinner plate, cereal bowl, and spoon. He then picked a random number out of a hat and pulled out a 3, which meant I was tasked with making a PB&J sandwich with only the aforementioned tools. This strange scenario was Week 3’s assignment in CEP 810, the course I am currently taking for the MAET program.

This process really drove home the point that it’s best to decide the tools that you will use after you’ve determined the objective. If I had known from the start that I was going to make a PB & apple sandwich, I would have chosen a knife instead of a spoon, since it would have been better suited for the task. I make similar decisions when planning lessons. I determine whether to use computers, stations, direct instruction, group work or something else entirely for a lesson based on what I believe is best suited to help students learn that specific topic. I make these decisions after drawing upon my teaching, pedagogical, and content knowledge, or TPACK.

It also made me wonder, “What if I didn’t own a knife?” I demonstrated that I would still be able to make a sandwich, but it definitely was not the same level of visual quality as it would have been had I had the appropriate tool. This same concept extends to students who may not have the same access to technology as their peers. If an assignment requires internet access, students without that access at home could potentially go to the library to complete the task, but that requires extra effort and other unguaranteed resources (e.g. neighborhood library, car, available adults, etc.). There’re a lot of factors teachers need to take into consideration when planning effective and equitable lessons that allow students to demonstrate their knowledge and growth.

How do we learn?

Written on 9/8/19

My experience with new teacher induction painfully highlighted teaching methods that clearly do not work, but have been utilized for decades. Other than one lunch and one five-minute stretch break, teachers were asked to sit in a room from 8:00 AM to 3:30 PM as various speakers came in and out, most of whom did not use engaging or meaningful teaching strategies. It reminded me of how students’ days really can be. The middle school I work at runs eight 45 minute class periods every day. Students are flitting from one class to another, teachers are throwing information at them, and then they are expected to move on to the next class and shift their mindsets quickly. It seems unreasonable to expect them to digest and master content in such a manner.

Yet, teachers find a way. What can teachers do to help students learn and understand complex concepts in this hectic environment? Why do those strategies work? To answer those questions, I read through the first few chapters of How People Learn: Brain, Mind, Experience, and School: Expanded Edition by Bransford, Brown, and Cocking. I reflected on what the educational research tells me about what tools and strategies I can help students develop to ensure their learning is self-sustainable. I was happy to find out that some of what I do already, like teaching metacognition and using differentiation to provide varying tiers of difficulty, is aligned with what Bransford, Brown, and Cocking had to say (Bransford, Brown, & Cocking, 2000). You can read more here.


References:



The Beginning.

Written on 8/31/19

I’ve never been much of a blogger or writer of any sort. I’m huge on reflecting on past experiences and learning from them, though, so I can definitely see the benefits of writing down those reflections so that I can expand upon them later. Thankfully, I recently (just this past week, actually) started a master’s program that helped me kickstart that reflective writing process (shout out to #MAET). I’m hoping to gain some new insights into how I can effectively incorporate the technology that I have available to me as well as learn about new ones. This program already has me blogging, creating Flipgrid videos, and creating a Twitter account for the first time, so I’m not worried.


My initial concerns about starting up a master’s program was that I would be too overwhelmed by all of my various responsibilities. Working full time as a teacher and doing graduate level coursework is going to be tough, no doubt, but now that I’ve started the course, I feel a lot more comfortable with the situation. The course is incredibly transparent about how it will be run and when assignments are due. The checklists and detailed instructions get two thumbs up as well. Week 1 definitely has me looking forward to getting to know my fellow teachers and learning about new ways to become a better 21st century educator.


References:

  • Hulu. East Los High [Gif]. (n.d.). Retrieved from

https://giphy.com/gifs/hulu-east-los-high-hulu-original-3o6ZsZhvTAGQEU6Twk/embed


References

Shepard, L. (2000). The role of assessment in a learning culture. Educational Researcher, 29(7), 4-14.