Ear to the Ground features voices from several corners of the mathematics education world.

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## Ways to Help Students Become Powerful Mathematical Thinkers

### Alan H. Schoenfeld

## Harnessing the Power of a Single-Number Number Talk

### Alison Williams and Lisa Lamb

Easy to implement, this strategy has a powerful positive impact in mathematics classrooms.

## Making Sense of Algebraic Expressions in Context

### Isabel White, Michael Foster, and Joanne Lobato

Explore three challenges that students faced and how they made progress.

## GPS: Growing Constantly: Building to Systems of Linear Equations

### Michelle T. Chamberlin and Robert A. Powers

Growing Problem Solvers provides four original, related, classroom-ready mathematical tasks, one for each grade band. Together, these tasks illustrate the trajectory of learners’ growth as problem solvers across their years of school mathematics.

## Fostering Quantitative Reasoning Through a Question of Fairness

### Ayse Ozturk

An instructional activity positions students’ quantitative reasoning as the central mechanism of problem solving based on the notions of fairness and reasonableness.

## Crack the Code

### Karen Zwanch and Bridget Broome

This game teaches algebraic generalizations through differentiated play in pairs, small groups, or as a whole class and uses manipulatives to bridge numerical and algebraic thinking.

## “Reflections on High-Quality Math Instruction”

### Blake E. Peterson, Douglas L. Corey, Benjamin M. Lewis, Jared Bukarau, and Introduction by: Wendy Cleaves

From the Archives highlights articles from NCTM’s legacy journals, previously discussed by the *MTLT* Journal Club.

## Delving Deeper: What Else Comes after 1 + 2 = 3?

### Charles F. Marion

The simplest of prekindergarten equations, 1 + 2 = 3, is the basis for an investigation involving much of high school mathematics, including triangular numbers, arithmetic sequences, and algebraic proofs.

## A Science Analogy for Understanding Mathematical Structure

### Sandra J. Miles

This lesson uses the pH scale to build students’ understanding of the additive identity and inverse. It also gives suggestions for how to extend the lesson to multiplication.

## Our Children Are Not Numbers

### Jody Guarino, Shelbi Cole, and Michelle Sperling

In a humanized approach to assessment, the design of the instrument itself is only a small part of the overall process.