Carleen Ventre
"A spark is a little thing, yet it may kindle the world."
-Martin Farquhar Tupper-
“Mathematics and Social Justice”: Method to the Mathness Podcast Episode 4 with Tonya Clarke, Ph.D.
by Math Solutions Professional Learning Team, May 29th, 2019
Dr. Tonya Clark is the coordinator of Mathematics for Clayton County public schools, a large district near Atlanta. She is also the founder of the I’m W.O.K.E. Project (Widening Options through Knowledge and Empowerment) which supports teachers and students to explore culturally relevant and culturally sustaining mathematics instruction. Through problem and inquiry-based learning, students work together to examine real world problems. It is often the case that instruction begins with the math that is to be taught, then presents a problem to solve. Uniquely, her strategy is to start with a current political, educational, or social issue and then draw out the various math models that can be used to support the students’ findings and viewpoints. To critically think through these issues, students must first uncover the facts, and often as they dive deeper, they are led to more questions and more discoveries that span far more than just mathematics. It sparks empowerment and passion in the students as they recognize that they are exploring a problem that is worth solving, something that matters to them.
In my future classroom, I will strive to implement projects like the I’m W.O.K.E. project to inspire students to pursue the topics that they find important and significant. It’s critical that I acknowledge that there is a difference between real world problems that are relevant, not just familiar. By examining real world problems with cultural relevance, students will be exposed to a variety of problem-solving strategies and may find a calling to pursue some of these issues more deeply in the future. The cooperative nature of projects like these will also give students the opportunity to explore their own thinking and open critical discussions with their peers and others. And by approaching mathematics instruction in this way, my students will have the autonomy to determine their own mathematical methods and representations to best achieve their goals, fostering comprehensive connections. Students asking the question, “When will I ever use this in real life?” will have tangible answer and furthermore will see that mathematics does not happen in isolation. It is woven in to every part of our world and can be an invaluable tool when you know how to use it.
In this chapter the author Mark Wolfmeyer specifically addresses the topic of emergent bilinguals in a mathematics classroom and the many challenges they face. Often these students are more likely to be socioeconomically disadvantaged, teachers and peers alike associate a lack of proficiency in English speaking with intellectual inferiority, and different cultural backgrounds and racial identities also impact perceptions and opportunities. Though there are some resources in textbooks, they are typically limited mostly to Spanish and they are many other languages emergent bilinguals may speak. The author emphasizes that it is vital for teachers to know specifically which languages their students speak and support them more effectively. He explains that group work can open opportunities for “translanguaging” in which emergent bilinguals communicate with their full linguistic repertoire. Also grouping students that speak the same language, rather than pairing with a strong English speaker will allow for a deeper understanding of tasks as they will be able to talk more robustly about them. Additionally, teachers must be self-reflective about their own perceptions and maintain consistent high expectations for all of their students’ abilities to do math. Some teachers shy away from cooperative learning and problem-based learning strategies with emergent bilinguals as the language barrier is perceived to be too significant. The students then are denied more comprehensive instruction and left doing rote computational work instead.
I am a firm believer that my perception and expectations of my students will be crucial to their success. I cannot be an effective educator if I let implicit biases predetermine if my students do well or not. I will work to self-examine my approaches and my thinking as implement different strategies for my many different students. In each classroom I will strive to learn as much as possible about my students’ backgrounds and cultures and use that information to create lesson that they will find engaging and relatable. Emergent bilinguals will have opportunities to do work in their preferred language and work with others that speak the same language when possible. I will provide support and resources whenever possible that go beyond what is offered in the textbooks and use material like videos or manipulatives that will transcend language barriers. Furthermore, cooperative learning will let my students focus on doing mathematics and thinking critically about concepts rather than vocabulary memorization. Most importantly, I will recognize that being an emergent bilingual is an asset, not a deficit.
A CRITICAL INTRODUCTION TO MATHEMATICS EDUCATION
Human Diversity and Equitable Instruction
Second Edition
by Mark Wolfmeyer
Chapter 9:
LANGUAGE DIVERSITY AS AN ASSET
Emergent bilinguals in the mathematics classroom
What Are Classroom Practices That Support Equity-Based Mathematics Teaching?
By
Theodore Chao, The Ohio State University
Eileen Murray, Montclair State University
Rochelle Gutiérrez, University of Illinois at Urbana-Champaign
Michael Fish, Series Editor
This article discusses some of the actionable and intangible strategies to foster an equitable classroom environment. First and possibly most importantly, teachers must be self-reflective to develop an advocacy disposition and be willing to stand up for what they believe, take risks, and even bend the rules when appropriate. Math educators should be constantly striving for: openness to various cultures and the differences in mathematical teaching and learning; self-awareness of how ones personal experiences, beliefs, and backgrounds can affect teaching; and commitment to incorporate students’ cultures to engage them in the classroom. This will create a classroom environment the develops into and mathematics community. Here is where collaborative activities can grow the students’ mathematical abilities. This can be done by assigning group roles and different tasks based on abilities. Equitable dispersion of responsibilities encourages students to recognize their own value and the value of others and nurtures an appreciation of diversity.
I will strive endlessly to achieve the goals set in this article. The importance of self-awareness in every capacity cannot be overstated. Are my implicit biases affecting my teaching? How can I engage all of my students in a way that is effective and meaningful? Am I doing all that I can to keep my instruction culturally and socially relevant? If it’s necessary, am I brave enough to stand up for what I know is right, even if it means going against the rules? Am I always putting the success of my students first? Am I getting complacent, apathetic, or worse, pessimistic? These are just some of the questions I will ask myself throughout my career as a teacher to keep my focus.
As for actionable, pedagogical strategies, I plan to structure my classroom into heterogeneous groups that will grow together as doers of math. My hope is to create a safe space where my students can rely on each other’s strengths and feel comfortable asking questions and even getting things wrong from time to time. Assigning roles and tasks strategically will give students the opportunity to expand their abilities and collaborate effectively and meet them at their ability level.
The research in this article examines how teachers must strategically structure cooperative learning environments to best support their students and create equitable learning opportunities. The author focuses on these four points of when learning occurs- through participation, in relation to social ecology, through the process of identity development, and through communicating about math as they pertain to group work in a math classroom. There is acknowledgement that there are actually many gaps in the research regarding cooperative learning and its effectiveness. But teacher structuring, intervention, monitoring is needed to see success with this teaching strategy. Teachers must consider the many contextual factors influencing group interaction and incorporate culturally relevant subject matter. To offer a specific example, assigning competence is a tactic whereby the teacher circulating around the room, noticing a student being marginalized, specifically calls out the important contribution that student can make to the group. This emphasizes the importance of equity within the group and that all students must collaborate to be successful. In general, the teacher must be keenly aware of the dynamics in their classroom and make adjustments as needed to support their students in these critical thinking and problem-solving activities. It’s also clear that cooperative learning is but just one tool, and should be embedded along with lectures, demonstrations, and other pedagogical methods.
Since I began exploring the idea of utilizing cooperative learning strategies, I have considered that there could be significant challenges in cultivating an ideal classroom environment. While I have a general concept of how to implement many of these ideas, this article shines a light on how important my role as the teacher really is. I cannot simply split up the class, present a task, and sit back. It will be important that I get to know my students and meet them where they are in terms of their abilities, cultural, language, and identities. Only then will I be able to offer them a space wherein they feel comfortable experimenting with new approaches, chiming in with their ideas, and open to occasionally getting it wrong and knowing they will likely grow from these moments of self-reflection. I hope to see a classroom of students that are engaged and intrinsically motivated to have deeper discussions about mathematical concepts and representations. But to get to this point, I will make sure to consider the factors discussed above (and more) while organizing groups and choosing tasks. My active support and participation in their processes will be critical to keeping my students on track.
Ideas and Identities: Supporting Equity in Cooperative Mathematics Learning
Indigo Esmonde
Review of Educational Research, Vol. 79, No. 2 (Jun., 2009), pp. 1008-1043
Fracking: Drilling into Math and Social Justice
Katie A. Hendrickson
Mathematics Teaching in the Middle School, Vol. 20, No. 6, FOCUS ISSUE: Modeling (February 2015), pp. 366-371
Similar to Dr. Tonya Clark’s work with the I’m W.O.K.E Project, Hendrickson’s approach to math instruction is problem and inquiry-based and begins with a relevant community issue that students will recognize and relate to. In her article she describes processes and outcomes of a lesson based on the local hot-button topic of hydraulic fracturing, known as “fracking.” In her first attempt, she found that the rigid, thorough instructions she had given reverted the lesson to a disconnected, procedural exercise rather than the rigorous exploration of mathematical modeling she hoped to spark. Redesigning the lesson, she led the students to brainstorm questions about the issue of fracking that could be answered mathematically. From here the students would pick from this master list of questions and begin their investigation. The autonomy to choose their own approach, and even decide which aspect of the issue was most intriguing to them gave students the ability to work at their own level while still presenting an appropriate challenge. Building this lesson helped the students understand more about their own communities and become more aware of their environment. They were able to make sense of the complex scenario with math and discovered that math can be a valuable tool for understanding social issues.
It is difficult to visualize a math classroom in which it seems like the math part of a lesson doesn’t come first. Typically, students are introduced to the procedure or formula they are meant to learn, then word problems and activities are built around the math. In my future classroom, my goal will be to guide students to discover the relevant math through problem and inquiry-based learning exercises. I think that it will be a challenge to get students accustomed to this ‘reverse’ method of learning, but my hope is that the process will feel organic, and the student-driven exploration will take on a life of its own. And role as teacher will be support and structure these lessons in a way that will produce students that are proficient doers of mathematics.