Math Instruction

Sense-Making and Productive Struggle


We began by investigating why classroom culture and mindset mattered in the mathematics classroom. After creating this common foundation, CVNIC teachers explored both what they were using to teach and how they were teaching. Teachers realized the value of rich open mathematical tasks and teaching as a facilitator rather than a lecturer. These shifts in instructional practice were essential to improving student sense-making and encouraging productive struggle. Teachers worked together to test changes and learn about cooperative learning, open mathematical tasks, whole class debriefs, and formative assessments.

Students need authentic opportunities to engage with meaningful mathematical tasks and teacher facilitation that highlights, connects, and extends student thinking. Teachers learned about the "5 Practices for Orchestrating Productive Mathematics Discussion" by Margaret Schwan Smith and Mary Kay Stein to support student conversations through rich tasks. Utilizing this common instructional routine, provided opportunities for teacher to collaborate and reflect together. This learning highlighted the power of purposeful questions by both teachers and students and the importance of mathematical freedom, allowing students to show how they make sense of and approach different mathematical tasks.

The National Council of Teachers of Mathematics (NCTM) advocates for productive struggle, “Effective teaching of mathematics consistently provides students, individually and collectively, with opportunities and supports to engage in productive struggle as they grapple with mathematical ideas and relationships.”

What Teachers Say

"It has given me a safe place to explore, take risks, and try out things I never would have with fellow teachers and students. It has changed my mindset about what I can learn and accomplish as well as what students can learn and accomplish." - Dinuba Teacher, 2019

"CVNIC changed my mindset and instruction. Focus on depth, not speed. Allows me to celebrate mistakes and change how students view mistakes. " - Exeter Teacher, 2019

"Thank you for this amazing opportunity to elevate my instruction and better reach and guide my students in math. It is actually so much more than just math class, because my students embody the mindset in all they do." -Tulare Teacher 2019

"The change ideas and data/findings helped me gain insight to some best practices that I could be doing with my students." - Exeter Teacher, 2019

"I would not be the teacher that I am today without the opportunities and learning that occurred in my journey with CVNIC." - Burton Teacher, 2019

"I learned that strategies and dialogue routines can be implemented in a better way in my classroom." - Visalia Teacher, 2017

"I gained some great information about how to create a rich task routine in a class." - Valley Life Teacher, 2017

"Taking the time to evaluate student responses is really valuable. " - Tulare Teacher, 2017