# Browse

## You are looking at 1 - 10 of 13 items for :

• Reasoning/Sense Making/Proof
• Communication
• Math Topic
• Refine by Access: All content
Clear All
Restricted access

## Using Number Talks to Compare Fractions

Using this strategy, a teacher facilitates a short conversation during which students verbally explain and justify reasoning. We have found that a coordinated series of number talks supports students’ reasoning when comparing fractions.

Restricted access

## The Opportunities of No-Solution Problems

When students encounter unusual situations or exceptions to rules, they can become frustrated and can question their understanding of particular topics. In this article, I share some practical tips.

Restricted access

## Mathematical Explorations: A New Twist on Collaborative Learning

Research on students' learning has made it clear that learning happens through an interaction with others and through communication. In the classroom, the more students talk and discuss their ideas, the more they learn. However, within a one-hour period, it is hard to give everyone an equal opportunity to talk and share their ideas. Organizing students in groups distributes classroom talk more widely and equitably (Cohen and Lotan 1997).

Restricted access

## Algebra Homework: A Sandwich!

Given two slices of bread—a problem and the answer—students fill in the fixings: their own mathematics reasoning.

Restricted access

## Mysterious Subtraction

Conjecturing is central to the work of reasoning and proving. This task gives fourth and fifth graders a chance to make conjectures and prove (or disprove) them.

Restricted access

## Changing the Rules to Increase Discourse

A second-grade teacher challenges the raise-your-hand-to-speak tradition and enables a classroom community of student-driven conversations that share both mathematical understandings and misunderstandings.

Restricted access

## Bird Boxes Build Content Area Knowledge

Communicating reasoning and constructing models fold nicely into a geometry activity involving the building of nesting boxes.

Restricted access

## Develop Reasoning through Pictorial Representations

Solutions coupled with drawings can illustrate students' understandings or misunderstandings, particularly in the area of proportional reasoning.

Restricted access

## Capturing Thinking on the Talk Frame

This instructional tool helps students engage in discussions that foster student reasoning, then settle on correct mathematics.

Restricted access

## Becoming a Mathematical Problem Solver

Take a page from the humanities and have your students investigate mathematics in writing.