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Using Artwork to Explore Proportional Reasoning

By examining ratios in paintings and using a free educational app, students can size up artists' use of proportional reasoning in their creations.

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Chivalry, at Least “Math Chivalry,” Is Not Dead!

A cartoon exploring a problem about order of operations is coupled with a full-page activity sheet.

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Mystery Fractions

This activity engages students in problem solving while exploring key concepts of number theory, such as divisibility and divisibility tests, place value, fractions, and scale factors.

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What's In A Name?

Students engage in an activity of predicting, collecting, organizing, analyzing, and interpreting data by exploring the frequency of names that occur over three generations.

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Cartoon Corner: Presidential Puzzlers

A cartoon involving presidential birth dates is coupled with a full-page activity sheet.

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Mathematical Explorations: A New Twist on Collaborative Learning

Research on students' learning has made it clear that learning happens through an interaction with others and through communication. In the classroom, the more students talk and discuss their ideas, the more they learn. However, within a one-hour period, it is hard to give everyone an equal opportunity to talk and share their ideas. Organizing students in groups distributes classroom talk more widely and equitably (Cohen and Lotan 1997).

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Palette of Problems

A monthly set of problems is aimed at a variety of ability levels.

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Tasks to Develop Language for Ratio Relationships

Tasks that have been developed to build a foundation for ratio meanings and language not only provide valuable information about student thinking but also support proportional reasoning.

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Difference Not Deficit: Reconceptualizing Mathematical Learning Disabilities

Mathematical learning disability (MLD) research often conflates low achievement with disabilities and focuses exclusively on deficits of students with MLDs. In this study, the author adopts an alternative approach using a response-to-intervention MLD classification model to identify the resources students draw on rather than the skills they lack. Detailed diagnostic analyses of the sessions revealed that the students understood mathematical representations in atypical ways and that this directly contributed to the persistent difficulties they experienced. Implications for screening and remediation approaches are discussed.

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Informing Practice: A Hybrid Perspective on Functions

research matters for teachers

Formal notions of function, which appear in middle school, are discussed in light of how teachers might complement the input-output notion with a covariation perspective.