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## Addressing the Standards for Mathematical Practice in a Calculus Class

A two-part calculus activity uses true-false questions and a descriptive outline designed to promote active learning.

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## Learning Algebra from Worked Examples

Presenting examples of both correctly and incorrectly worked solutions is a practical classroom strategy that helps students counter misconceptions about algebra.

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## Using Covariation Reasoning to Support Mathematical Modeling

Table representations of functions allow students to compare rows as well as values in the same row.

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## “Tricks” Work!

The use of mnemonic devices, or “tricks,” in the mathematics classroom has been criticized by some authors. However, when used in the proper context, such “tricks” can be extraordinarily helpful in motivating students and helping them remember procedures while understanding concepts and mastering appropriate mathematical vocabulary.

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## Spaghetti Sine Curves: Virtual Environments for Reasoning and Sense Making

The Spaghetti Sine Curves activity, which uses GeoGebra applets to enhance student learning, illustrates how technology supports effective use of physical materials.

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## Equivalence Relations across the Secondary School Curriculum

An analysis of problems from state assessments and other sources helps preservice teachers discover analogous mathematical representations.

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## Sorting Out Ideas about Function

A card-sorting task can help students extend their understanding of functions and functional relationships.

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## Mario, Monkey Man, Fish, and Bam-Bam: Creative Terminology in Today's Classrooms

Mathematical precision means more than accuracy in computation or procedures; it also means precision in language. The Common Core State Standards for Mathematics states, “Mathematically proficient students try to communicate precisely to others. They try to use clear definitions in discussion with others and in their own reasoning” (CCSSI 2010, p. 7). In our recent experience in working with teachers and students, we have noticed a trend toward teachers using informal, and often creative, language and terminology in an effort to connect with students and make mathematical procedures easier to remember.

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## Punch Up Algebra with POWs

An action research study focuses on the teaching strategies used to facilitate Problems of the Week.

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## A Question Library for Classroom Voting

Voting in the classroom can engage students and promote discussion. All you need is a good set of questions.