“We emphasize these strategies based on place value and I am wondering why,” I said to Sarah. “I feel this strong urge to teach him place value strategies, but I’m asking myself why?” I felt like using place value strategies helped me so much as a mathematician, but in that mom...
Right: Number of responses for each query descending by difficulty across 3 synthesis strategies. Queries are from the MATH training split (Hendrycks et al., 2021). VRT is the baseline biased towards easy queries, while Uniform and Prop2Diff are proposed in this work to balance and bias ...
Students began to learn the traditional methods of arithmetic in sixth grade, but still the teachers focused as much as possible on mental math and the development of thinking strategies. Notice how waiting until the children were developmentally ready made the work more efficient. Benezet’s ...
For example, in teaching the addition of fractions, one may start with aClothesline Mathlesson to develop the need to find a common denominator (conceptual) which would involve students posing and critiquing strategies in pairs and groups, with the teacher concluding the lesson with the most effic...
Introduction to Multiplication Strategies Teaching Slides Introduce your students to different multiplication strategies such as arrays, equal groups, repeated addition and skip counting with this 34-page slide deck. Slide Grade s 3 - 4 Free Plan Multiplication Chart Print a handy multiplication...
Check out these resources to help students deepen mathematical understanding and develop diverse problem-solving strategies through Mathematical Discourse.
The goal of a number talk is usually to expose students to multiple strategies for solving the same mathematical problem. Students are given a mathematical problem to solve, usually a problem involving arithmetic or counting, and asked to come up with a solution in their heads. Once sufficient ...
Math routines are such a powerful tool for eliciting student ideas and making connections between them. The challenging part for me has always been ending them. Once I ask students for strategies or things they notice and wonder, the ideas are so uniquely interesting that I want to explore the...
“This is a hard problem! We really had to think deeply about this today, and that’s okay! Strategies like Three Reads are a great way to slow us down and make sure we are paying close attention to what’s going on.” Day 46 Humanities We’re continuing to read Sharon Creech’s ...
Involving students to develop strategies After reading through my students’ responses, the next step was to have a class meeting, discuss the math terms, and have students brainstorm ways to help “pump up” our understanding of math vocabulary. Here is what we decided to do as a class: ...