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Problems to Ponder

Chris Harrow and Justin Gregory Johns

Problems to Ponder provides 28 varying, classroom-ready mathematics problems that collectively span PK–12, arranged in the order of the grade level. Answers to the problems are available online. Individuals are encouraged to submit a problem or a collection of problems directly to mtlt@nctm.org. If published, the authors of problems will be acknowledged.

Journal Article

Cover Mathematics Teacher: Learning and Teaching PK-12

In Mathematics Teacher: Learning and Teaching PK-12 Volume 115 (2022): Issue 7 (Jul 2022)

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Exploring Sequences Related to Medial Triangles

José N. Contreras

Sequences are an important topic—not only in mathematics but also in the mathematics curriculum. Exploring sequences related to medial triangles offers learners opportunities to solve problems involving sequences within geometric contexts. Sequences related to medial triangles are also a rich source of beautiful and interesting geometric patterns that can be discovered with the use of dynamic geometry software (DGS) such as GeoGebra or Web Sketchpad. In addition, exploring sequences with DGS allows learners to formulate and test conjectures, an important mathematical process. In this article, I describe how my students used GeoGebra and geometric reasoning to visualize, discover, formulate,

Journal Article

Cover Mathematics Teacher: Learning and Teaching PK-12

In Mathematics Teacher: Learning and Teaching PK-12 Volume 115 (2022): Issue 4 (Apr 2022)

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Problems to Ponder

Justin Gregory Johns, Chris Harrow, and Kaitlyn Alexander

Problems to Ponder provides 28 varying, classroom-ready mathematics problems that collectively span PK–12, arranged in the order of the grade level. Answers to the problems are available online. Individuals are encouraged to submit a problem or a collection of problems directly to mtlt@nctm.org. If published, the authors of problems will be acknowledged.

Journal Article

Cover Mathematics Teacher: Learning and Teaching PK-12

In Mathematics Teacher: Learning and Teaching PK-12 Volume 115 (2022): Issue 3 (Mar 2022)

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Problems to Ponder

The Math Learning Center Content Development Team and J. Michael Shaughnessy

Problems to Ponder provides 28 varying, classroom-ready mathematics problems that collectively span PK–12, arranged in the order of the grade level. Answers to the problems are available online. Individuals are encouraged to submit a problem or a collection of problems directly to mtlt@nctm.org. If published, the authors of problems will be acknowledged.

Journal Article

Cover Mathematics Teacher: Learning and Teaching PK-12

In Mathematics Teacher: Learning and Teaching PK-12 Volume 115 (2022): Issue 1 (Jan 2022)

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Problems to Ponder

Steve Ingrassia and Molly Rawding

Problems to Ponder provides 28 varying, classroom-ready mathematics problems that collectively span PK–12, arranged in the order of the grade level. Answers to the problems are available online. Individuals are encouraged to submit a problem or a collection of problems directly to mtlt@nctm.org. If published, the authors of problems will be acknowledged.

Journal Article

Cover Mathematics Teacher: Learning and Teaching PK-12

In Mathematics Teacher: Learning and Teaching PK-12 Volume 114 (2021): Issue 10 (Oct 2021)

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Facilitating Student-Created Math Walks

Min Wang, Candace Walkington, and Koshi Dhingra

An example of an after-school club activity gives educators some tools and suggestions to implement such an approach in their schools.

Journal Article

Cover Mathematics Teacher: Learning and Teaching PK-12

In Mathematics Teacher: Learning and Teaching PK-12 Volume 114 (2021): Issue 9 (Sep 2021)

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Puddle Play!

Deanna Pecaski McLennan

For the Love of Mathematics

Journal Article

Cover Mathematics Teacher: Learning and Teaching PK-12

In Mathematics Teacher: Learning and Teaching PK-12 Volume 114 (2021): Issue 9 (Sep 2021)

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Student Engagement with the “Into Math Graph" Tool

Amanda K. Riske, Catherine E. Cullicott, Amanda Mohammad Mirzaei, Amanda Jansen, and James Middleton

We introduce the Into Math Graph tool, which students use to graph how “into" mathematics they are over time. Using this tool can help teachers foster conversations with students and design experiences that focus on engagement from the student’s perspective.

Journal Article

Cover Mathematics Teacher: Learning and Teaching PK-12

In Mathematics Teacher: Learning and Teaching PK-12 Volume 114 (2021): Issue 9 (Sep 2021)

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Learning without Borders

Jenise Sexton

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

Journal Article

Cover Mathematics Teacher: Learning and Teaching PK-12

In Mathematics Teacher: Learning and Teaching PK-12 Volume 114 (2021): Issue 3 (Mar 2021)

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The Shape of Art: Mathematics Connections

Enrique Ortiz

For the Love of Mathematics

Answers are available in the supplemental appendix.

Journal Article

Cover Mathematics Teacher: Learning and Teaching PK-12

In Mathematics Teacher: Learning and Teaching PK-12 Volume 114 (2021): Issue 1 (Jan 2021)