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Linking Factors and Multiples to Algebraic Reasoning

George J. Roy, Jessica S. Allen, and Kelly Thacker

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.

Journal Article

Cover Mathematics Teacher: Learning and Teaching PK-12

In Mathematics Teacher: Learning and Teaching PK-12 Volume 113 (2020): Issue 3 (Mar 2020)

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Sorting Out Definitions

Erin E. Baldinger, Matthew P. Campbell, and Foster Graif

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.

Journal Article

Cover Mathematics Teacher: Learning and Teaching PK-12

In Mathematics Teacher: Learning and Teaching PK-12 Volume 113 (2020): Issue 3 (Mar 2020)

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Fluency with Basic Addition

Gina Kling

Applying known facts to derive unknown facts results in efficiency, flexibility, and an understanding of number combinations for young students.

Journal Article

Cover Teaching Children Mathematics

In Teaching Children Mathematics Volume 18 (2011): Issue 2 (Sep 2011)