Explaining Thinking: By week three of the school year, Patty Ferrant presents several student responses on a large sheet of chart paper, then challenges students to evaluate the student-generated justifications and proofs.
Even over a few weeks’ time, Patty is able to increasingly assume that students understand what it means for them all to work toward sense-making.
How can you highlight and contrast students’ various approaches to problem solving?
These videos are discussed in the Inside Mathematics guide "Making Sense of One’s Own and Others’ Learning, Patty Ferrant, 8th Grade," one of 10 practice-focused guides on building classroom climates for mathematical learning.
The videos document key mathematical practices observed in teacher Patty Ferrant's 8th-grade classroom over the course of a school year. In the guide (available as a PDF or an iBook download), you can explore extended narratives and questions for reflection around "making sense of one’s own and others’ learning."
Day 5: Students identify needs and norms for constructive partner and group work [Explaining Thinking]
Day 5: Sharing understanding (or lack thereof) with partner talk [Understanding and Reading Problems]
Day 5: Partner share for describing and justifying strategies [Finding Evidence, Justifying Strategies]
Day 118: Students present, defend, and critique their own and others’ evidence and strategies [Finding Evidence, Justifying Strategies]