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## NCTM Leadership Then and Now

How has NCTM leadership shaped the evolution of teaching and learning mathematics? What are your expectations for NCTM leadership?

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## With Reason: A Portrait of Sophia Kovalevsky (1850–1891)

Sophia Kovalevsky's story

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## Linking Factors and Multiples to Algebraic Reasoning

In this paper we illustrate how a task has the potential to provide students rich explorations in algebraic reasoning by thoughtfully connecting number concepts to corresponding conceptual underpinnings.

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## Sorting Out Definitions

Students need opportunities to construct definitions in mathematics. We describe a sorting activity that can help students construct and refine definitions through discussion and argumentation. We include examples from our own work of planning and implementing this sorting activity to support constructing a definition of linear function.

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## Students' Understanding of Counterexamples

This article focuses on students use and understanding of counterexamples and is part of a research project on the role of examples in proving. We share student interviews and offer suggestions for how teachers can support student reasoning and thinking and promote productive struggle by incorporating counterexamples into the classroom.

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## Quick Blocks: Developing Spatial Sense

This article shares the importance of giving K-12 students opportunities to develop spatial sense. We explain how we designed Quick Blocks as an activity to engage our students in both spatial reasoning and number sense. Several examples of students thinking are shared as well as a classroom dialogue.

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## Calendar and Solutions – May 2014

A set of problems of many types.

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## March 2014 Calendar and Solutions

A set of problems of many types.

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## February 2014 Calendar and Solutions

A set of problems of many types.

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## Algebraic Activities Aid Discovery Lessons

Three graphing activities lead students to discover the shapes and properties of the graphs for linear, quadratic, and absolute value functions and inequalities.