Final Reflection 

Week 1

Content:

1. Overview of the MAED 5511 course and an overview of the tentative course schedule

2. Created a miro account and learnt to use the miro platform, which can be used as an online collaborative whiteboard  to integrate the results of course design frameworks from classmates

3. Learned two major models: the TPACK model and the SAMR model, which can be used to integrate technology into education. And these two models also play the role of guiding principle, which can guide teachers to better integrate e-learning tools into the framework design of instructional design. 

4.Bloom’s taxonomy, which is used for describing the levels of learning

5. Bloom’s taxonomy+SAMR

6. TPACK+SAMR(Blended ladder)

7. Group task

Reflection:

To build up the framework of a lesson plan using these models and principle is not easy, it need us have a through understanding of these models and it requires us be quipped with ideas as well as practice more often.

WEEK 2

1.Learned what the LMS is and some popular LMS（cloud-based&self-hosted） like Canvas,google classroom,... and their pros and cons. We also learned the LMS-supported SCORM, which is a standard for the creation, management and use of shared courseware.

2.Mainly introduces Google classroom and its advantages over other LMSs and creates group logs using Google sites

3. Group task 1

4.Learned about four pedagogical approaches: Behaviourism, Constructivism and Social constructivism, Liberationism,Connectivism，because teachers should learn some pedagogy theories to improve the quality of their teaching

5.Learned some pedagogical models to enable the implementation of specific instructional and learning strategies: Inquiry-based learning, Experiential learning, Collaborative learning, Variation theory, Flipped classroom. The pedagogical models to enable the implementation of specific instructional and learning strategies: Inquiry-based learning, Experiential learning, Collaborative learning, Variation theory, Flipped classroom. The contents of each of them were introduced, examples of experimental course were given, and the disadvantages of collaborative learning were discussed; We also emphasized the content and pattern of variation theory of learning and examples of how it can be applied, arranged a group task using variation theory, and talked about the four pillars of flipped classroom method and the relevant application of concrete examples, so that we can be able to correctly use it in the future.

6. Group task 2

Reflection：

Challenges：1.Unskilled in the application of LMS related systems

2.The lack of thorough understanding of pedagogical theories and models leads to errors when applying them to  course design. For example, when applying variation theory, the application of contrast and generalization patterns is not comprehensive enough and may even be incorrect, which will result in students not being able to fully understand the mathematical concepts through the teacher's questions.

WEEK 3

1. We had an overview of the application fields of GeoGebra, which are graphing, geometry, 3D, algebra, CAS, data (spreadsheet) and probability

2. Teacher taught us some basic operation of GeoGebra, which are using checkbox, customizing the toobar, point on an object, inequalities, polar coordinate and so on. And he assigned us some after-shcool assignments of using them in GeoGebra.

Reflection:

The application of GeoGebra is more than what teacher taught in class, I need to spend time study it after school if I want to master the use of GeoGebra.

Week 4

1. We learned some basic concepts in computation layer and some operation of Desmos in course design.

2. Teacher assign us an assignment to design an activity for cosine rule using Desmos as a teacher

Reflection:

Challenge:

The coding part of Desmos is so challenging.

Ways of Overcoming:

Read and understand the language in computation layer, and practice more.

Week 5

1. In this class, we learned what is Generative AI, Large Language Model(LLM) and some AI Chatbots.

2. Teacher taught us how to apply ChatGPT in mathematical education and demonstrate a lesson design on ChatGPT.

3. We are assigned a group activity of generating some contents for a math topic of lesson plan using ChatGPT. 

Reflection:

To master the use of generative AI, the manipulator needs to be equipped with abilities of rigorous and innovative. So that, teachers can text correct prompts to AI and generate target content for our lesson plan, and after brainstorm we can get a continuous improvement of lesson design. Therefore, teacher's idea is important to opertate AI.

To have better idea, i need to learn from other sophisticated  teachers: read their articals, summarize their framework of designing a lesson plan, immitate their idea and develop my own innovations. 

Week 6，7，8

Reflection:

Challenges:

1. It's not easy to choose a suitable topic which can use Geogebra and Desmos. Because some topic may be too difficalut to achieve while other topics may be too theoretical.(So, an easier topic may be more suitable)

2. It's not easy to design interactive games and rich tasks

3. It's important to do a group schedule for finishing the task, and it is also essential to practice before teaching if we want to achieve the ideal effect of these in-class activities.

4. Assessment rubric is important, which gives us a clear direction to improve our teaching plan.

Week 9，10

Reflection:

1. It's too hard for a beginner to write a code of shiny app to generate our target graph, so we need the help of ChatGPT

2. To use the ChatGPT efficiently, I need to have a through understanding of knowledge at first. And then, I need to have a sketch of the page. Finally, with the help of chatgpt, I can complete my work continuously.

3. I still need to supplement my knowledge of R, which can help me identify the mistake of R code generated by AI and achieve my ideal effect.

Week 11,12

Reflection:

1. Utilizing chatgpt to continually correct our desired rendering is time consuming, it need our patient and innovative idea

2. schedule of finishing a task is important

3. Team spirit is very important

Wrap up

Pedagogy theory, model and teaching strategies

• Two models to integrate technology in education:

-TPACK Model

-SAMR Model

• Combing:

-Bloom's taxonomy+SAMR

-TPACK+SAMR(Blended ladder)

• Pedagogical approaches:

-Behaviourism

-Constructivism and social constructivism 

-Liberationism

-connectivism

• Pedagogical models:

-Inquiry-based learning 

-Experiential learning

-Collaborative learning

-Variation theory

-Flipped classroom

• Strategies for teaching math:

-Games

-Rich tasks

E-learning tools:

• Collaborative whiteboard -- Miro

• LMS:Canvas, Google classroom

• Genaral content creation tools

-Google sites(making webpages)

-Edpuzzle(turning online videos to quizzes)

-Padlet(online discussion board)

• Specific tools for math teaching:

-Geogebra

-Desmos

-R and Shiny app

• Generative AI: ChatGPT

Group Projects:

1. Design a math lesson on a math topic of your choice in geometry/algebra/calculus using Geogebra or Desmos in class.

2. Creating an online book for teaching statistics using shiny apps

Process:

1. Prepare teaching and presentation materials

2. Presentation

3.  Peer evaluation

4. In-class interactive activities(Using Padlet)

Genaral Reflection:

Nowadays,the ability of  being familiar and even mastering the use of technology in teaching is important for a teacher. To integrate traditional lesson plan with technology is difficult for me now:

1. I didn't follow the teacher's lesson

2. I didn't spend time to study and understand these tools, even practice using them

3. My logic and idea of preparing teaching materials using technologic tools is poor

4. The pedagogical theories, models and strategies taught in class is useful, but I still cannot fully master them. I need to read more examples so as to better teach students and make my teaching more efficient and interesting

5. To have a better use of E-learning tools in my future teaching, I can spend my spare time watching related videos and try to put them into use to make my class atmosphere more active.

6. To finish any task, I must have a schedule and put into action later.