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Sailor Monkeys

little problems with big solutions

Sherri L. Baer and Edward S. Mooney

Two problems involving grouping invite students to devise their own model and strategies.

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A cartoon that explores long division is coupled with a full-page activity sheet.

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A cartoon involving astronomy and astronomical units is coupled with a full-page activity sheet.

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Rob Wieman

A game called Five Steps to Zero and its variations are meant to help students with mathematical reasoning.

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Gregory Beaudine

If teachers have a deeper comprehension of their students' reading ability, it may lead to students' improved literacy and understanding of the subject.

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James C. Willingham, Jeremy F. Strayer, Angela T. Barlow, and Alyson E. Lischka

During a lesson on ratios involving percentages of paint, four research-based criteria are used to evaluate students' mistakes. The takeaway is that painting all mistakes with the same brush can also be a blunder.

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Pruning Trees

big solutions to little problems

Jo Ann Cady and Pamela J. Wells

Solutions to a previous Solve It problem are discussed, and the procedures used with problem solving are explored.

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Scott A. Brown

The traditional technique for converting repeating decimals to common fractions can be found in nearly every algebra textbook that has been published, as well as in many precalculus texts. However, students generally encounter repeating decimal numerals earlier than high school when they study rational numbers in prealgebra classes. Therefore, how do prealgebra students in the middle grades convert repeating decimals to fractions without using the age-old algebraic process (multiplying and finding the difference of two “stacked” equations) or without applying the precalculus approach of treating repeating decimal digits as an infinite geometric series?.

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A cartoon involving lemonade stands and interpreting percents is coupled with a full-page activity sheet.

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Rachel Lambert and Despina A. Stylianou

One middle school teacher developed classroom routines to make challenging questions accessible to all learners in her class.