education… Fractions in Fractions: Sparking Creative Mathematical Thinking 9 May 2023 Third Grader Owen was ready for third grade math a while ago. I only met him recently, but I'm guessing he was ready in... second grade? First? It's unclear. Something…
assessment… Listening to Understand: Visualizing Adrian’s Thinking about Comparing Fractions 26 Feb 202326 Feb 2023 Marilyn Burns recently blogged about a 38 second video clip that I probably spent 380 seconds watching. (click on the image below to read the post -- but then come…
curriculum… Preserving Equality — Algebraic Thinking Across Grade Levels 13 Feb 202313 Feb 2023 Equality is a fundamental concept of mathematics. The way that we can play around with values -- adjusting numbers slightly -- but maintain equality is fascinating, and differs between operations.…
games… Facilitating Number Boxes, Part 2 – Supporting Reasoning with Representations (Learning With Students) 15 Dec 20223 Feb 2023 "Hmm.. 8 + 3. Let's put the 8 in the ten frame. If we add 3, will it be more than, less than, more equal to 10?" Kyleigh missed parts…
#tmwyk Rush Hour Conversations 8 Aug 20227 Aug 2022 The highway was crowded. All four lanes crawled slowly northward, each car taking its turn to move a few precious feet before slowing and stopping. Idling. I must have read…
#tmwyk Caterpillar Math 20 Jul 202020 Jul 2020 This spring, my children fell madly in love with insects. Ants. Bees. Butterflies. We read books. We went exploring outside with magnifying glasses. We developed elaborate pretend play rituals based…
in the classroom Debate in Kindergarten: Building Appreciation for Ten Frames 20 Jan 202020 Jan 2020 If we want students to harness the power of visual representations -- to own them -- students need to understand why that representation is important. Visual representations can be elegant…
curriculum… Using Diagrams to Build and Extend Student Understanding 16 Dec 20196 Feb 2022 Co-authored by Kristin Gray (@MathMinds) Originally published on the Illustrative Mathematics Blog (November 25, 2019) Take a moment to think about the value of each expression below. $latex \frac{1}{4}\times \frac{1}{3}$…