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  • Grades 9-12 x
  • Algebraic Thinking/Pre-algebra Concepts x
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Manouchehri Azita, Ozturk Ayse and Sanjari Azin

In this article we illustrate how one teacher used PhET cannonball simulation as an instructional tool to improve students' algebraic reasoning in a fifth grade classroom. Three instructional phases effective to implementation of simulation included: Free play, Structured inquiry and, Synthesizing ideas.

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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.

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Rebecca Vinsonhaler and Alison G. Lynch

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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Sherin Gamoran Miriam and James Lynn

This article explores three processes involved in attending to evidence of students' thinking, one of the Mathematics Teaching Practices in Principles to Actions: Ensuring Mathematical Success for All. These processes, explored during an activity on proportional relationships, are discussed in this article, another installment in the series.

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Sarah K. Bleiler-Baxter, Sister Cecilia Anne Wanner O.P. and Jeremy F. Strayer

Explore what it means to balance love for mathematics with love for students.

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Brandy Crowley and Tracy Harper

Welcome to A-town! All the residents of A-town have names that start with the letter A! Could you live here? Join these students as they solve problems around their neighborhood. Remember, math is everywhere.

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Annie Perkins and Christy Pettis

Mathematics is sometimes called the science of patterns. Many kinds of patterns can be explored.

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Michael D. Steele

This article explores facilitating meaningful mathematics discourse, one of the research-based practices described in Principles to Actions: Ensuring Mathematical Success for All. Two tools that can support teachers in strengthening their classroom discourse are discussed in this, another installment in the series.