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The Spot Problem Revisited

Reinforce the difference between inductive and deductive reasoning using a small number of points around a circle.

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Delving Deeper: Kaprekar's Constant

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Patterns Jumping Out of a Simple Checker Puzzle

In this article, we consider the generalization of a “solitaire checker puzzle” from the book More Joy of Mathematics, by Theoni Pappas (1991). In addition to presenting the solution to the general case, we shall also investigate the attractive patterns that emerge during the process of solving the puzzle, as well as in analyzing the minimal solutions of various cases.

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Because We Love

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

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Exploring Geometric Sequences

Use popular culture to draw students' attention to mathematical topics.

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Algebraic Thinking through Koch Snowflake Constructions

By engaging in recursive and explicit reasoning, students gain insight into the nature of fractal constructions.

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A Skyscraping Feat

Skyscraper Windows, a high cognitive demanding algebra task, addresses the Common Core State Standards for Mathematics.

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Connecting the Dots: Building Procedural Fluency

This article explores teaching practices described in NCTM's Principles to Actions: Ensuring Mathematical Success for All. Student thinking, a learning cycle, and procedural fluency are discussed in this article, which is the second installment in the series.

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Tower of Hanoi: Exploring Multiple Representations

Carefully designed tasks enable preservice teachers to explore this puzzle through concrete, pictorial, numerical, symbolic, and graphical representations and engage in explicit and recursive reasoning, deal with counting problems, create Hanoi graphs, and develop mathematical thinking.

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Tracking Trout: Engaging Students in Modeling

After months of solving real-world problems, high school students enact the full modeling cycle supported by peers, teachers, and technology.