Get comfortable sharing about your struggles: Measuring the efficacy of student-centered teaching strategies

November 2024

How many times have we found an exciting, equitable, student-centered strategy to try with our learners, just to find ourselves feeling like the poor cake in a Pinterest Fail? Many. So many. But how willing are we to share our attempts with others, like those who are posting to Pinterest? Through the knowledge and experiences of our colleagues, we grew to recognize one important ingredient in our recipe for ideal instruction: Transparency is the key to any successfully implemented instructional strategy.

Learners in well supported communities—ones conducive to productively struggling daily on relevant, rich tasks—recognize that their brain grows through struggle (Sangiovanni, 2020). While there is a plethora of research to support this statement, the realities of the classroom often create barriers that are difficult for us, as educators, to overcome.

Differentiate the strategies, not the task

Gradually, we recognized that our particular focus on differentiation needed to shift. We decided to let our learners know that they all are capable of pursuing team-worthy tasks (Hammond, 2015). Instead of differentiating the task, we differentiated the instructional strategies and the thinking. In doing so, we shared with the learners about the decisions we made as teachers. When asking them to complete independent thinking time at the start of a problem, for example, we promoted the idea that math is not about speed. When allowing them to talk before independent time, we let them know we need each other (not just the teacher) to generate initial ideas about things we have never heard of before. When asking students to talk about a task, we let them know that sentence frames can help us gather rough draft thoughts into coherent ideas to share. When learners conduct any student-centered strategy, we let them know that we are all mathematical thinkers and our classmates can help us revise our rough draft ideas over time. 

Measure Your Impact

But, with the best of intentions, we were often unable to measure the impact of instructional choices. Again, we relied on colleagues to support our professional growth. We must not just plan and implement strategies to support learners through the struggles of problem solving in rigorous tasks; we need to measure the efficacy of our student-centered strategies. We were comfortable asking learners to assess the math learning target, but we had never asked them to assess the impact of a student-centered strategy. How vulnerable, even terrifying, it seemed to allow students to gain insight into our own pedagogical content knowledge! Our colleagues reminded us that the vulnerabilities and risk taking expected of our learners should be extended to us as well. Plus, we did not want to feel like Fail Cakes again—we needed feedback from our most important audience!

Our colleagues recommended setting a goal, which we decided was to increase opportunities for learners to share their perspectives while feeling respected during Math Chats. We selected Math Chats because of the significant empowerment opportunities for learners. Each one promotes visual representations, unique strategies, rich discussions, flexibility, and fluency. Math Chats provide opportunities to equitably revise, restate, and refine our understanding of many different topics. To help anticipate the intended impact, we created a “Looks Like–Sounds Like–Feels Like” graphic organizer where we envisioned students working at a vertical workspace sharing ideas about equivalent expressions. Visual gestures are being utilized to acknowledge agreement or push for clarifications. It sounds like students making statements like, I heard [Name] say ______. That made me think _____. Questions are asked freely, most of the time without any signal from the teacher. Learners are repeating, rephrasing, and adding on to previous statements as the norm instead of just when prompted by the teacher. 

When we thought about the “Feels Like” part, the term “learners” shifted to “my” without our initial awareness. I recorded: 

+ My classmates will benefit from what I have to say.

+ My classmates know that I won’t look them directly in the eyes, instead using hand gestures and other signals to show my engagement.

+ My contribution helps me understand more about this math concept.

+ My classmates benefit from my contributions, as well. 

This was a powerful moment as we realized that, while we could measure the efficacy of some parts of student-centered strategies, we needed the learners to provide feedback on the impact described in the “my” statements. We decided that surveying learners over a three-week period might allow for the most effective feedback and measure the efficacy of implementing Math Chats. We wrote these two questions: 

+ How effective are the Math Chats that you experience during math class? 

+ What impact does it have towards your feelings of respect?

Try it Out!

This process is still very much anecdotal, meaning it is two personal accounts replicated very few times with learners. We are relying on all of you and your classrooms of learners to continue this shift toward measuring efficacy. If you are interested, you might share your successes and challenges with us. What instructional strategy might support your learners? What might it look, sound, and feel like for your learners? How will you empower them to provide feedback on your selected strategy?

No, you don’t have to post all of your most vulnerable moments on Pinterest. However, we do encourage you to get comfortable sharing about your struggles with your colleagues. Over time, you’ll also be able to share the successes of your experience guiding your learners towards productive struggle each day. 

 


 

Hammond, Z., & Jackson, Y. (2015). Culturally responsive teaching and the brain: Promoting authentic engagement and rigor among culturally and linguistically diverse students. Corwin, a SAGE Company.

SanGiovanni, J. (2020). Productive math struggle: A 6-point action plan for fostering perseverance. Corwin.

Picture of Jeremiah Morgan & Jocelyn Dunnack

Jeremiah Morgan & Jocelyn Dunnack

jeremiahmorgan@cpm.org (Eagan, MN)
joceylndunnack@cpm.org (Columbia, CT)

You are now leaving cpmstg.wpengine.com.

Did you want to leave cpmstg.wpengine.com?

I want to leave cpmstg.wpengine.com.

No, I want to stay on cpmstg.wpengine.com

Algebra Tiles Blue Icon

Algebra Tiles Session

  • Used throughout CPM middle and high school courses
  • Concrete, geometric representation of algebraic concepts.
  • Two-hour virtual session,
  •  Learn how students build their conceptual understanding of simplifying algebraic expressions
  • Solving equations using these tools.  
  • Determining perimeter,
  • Combining like terms,
  • Comparing expressions,
  • Solving equations
  • Use an area model to multiply polynomials,
  • Factor quadratics and other polynomials, and
  • Complete the square.
  • Support the transition from a concrete (manipulative) representation to an abstract model of mathematics..

Foundations for Implementation

This professional learning is designed for teachers as they begin their implementation of CPM. This series contains multiple components and is grounded in multiple active experiences delivered over the first year. This learning experience will encourage teachers to adjust their instructional practices, expand their content knowledge, and challenge their beliefs about teaching and learning. Teachers and leaders will gain first-hand experience with CPM with emphasis on what they will be teaching. Throughout this series educators will experience the mathematics, consider instructional practices, and learn about the classroom environment necessary for a successful implementation of CPM curriculum resources.

Page 2 of the Professional Learning Progression (PDF) describes all of the components of this learning event and the additional support available. Teachers new to a course, but have previously attended Foundations for Implementation, can choose to engage in the course Content Modules in the Professional Learning Portal rather than attending the entire series of learning events again.

Edit Content

Building on Instructional Practice Series

The Building on Instructional Practice Series consists of three different events – Building on Discourse, Building on Assessment, Building on Equity – that are designed for teachers with a minimum of one year of experience teaching with CPM instructional materials and who have completed the Foundations for Implementation Series.

Building on Equity

In Building on Equity, participants will learn how to include equitable practices in their classroom and support traditionally underserved students in becoming leaders of their own learning. Essential questions include: How do I shift dependent learners into independent learners? How does my own math identity and cultural background impact my classroom? The focus of day one is equitable classroom culture. Participants will reflect on how their math identity and mindsets impact student learning. They will begin working on a plan for Chapter 1 that creates an equitable classroom culture. The focus of day two and three is implementing equitable tasks. Participants will develop their use of the 5 Practices for Orchestrating Meaningful Mathematical Discussions and curate strategies for supporting all students in becoming leaders of their own learning. Participants will use an equity lens to reflect on and revise their Chapter 1 lesson plans.

Building on Assessment

In Building on Assessment, participants will apply assessment research and develop methods to provide feedback to students and inform equitable assessment decisions. On day one, participants will align assessment practices with learning progressions and the principle of mastery over time as well as write assessment items. During day two, participants will develop rubrics, explore alternate types of assessment, and plan for implementation that supports student ownership. On the third day, participants will develop strategies to monitor progress and provide evidence of proficiency with identified mathematics content and practices. Participants will develop assessment action plans that will encourage continued collaboration within their learning community.

Building on Discourse

In Building on Discourse, participants will improve their ability to facilitate meaningful mathematical discourse. This learning experience will encourage participants to adjust their instructional practices in the areas of sharing math authority, developing independent learners, and the creation of equitable classroom environments. Participants will plan for student learning by using teaching practices such as posing purposeful questioning, supporting productive struggle, and facilitating meaningful mathematical discourse. In doing so, participants learn to support students collaboratively engaged with rich tasks with all elements of the Effective Mathematics Teaching Practices incorporated through intentional and reflective planning.