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McGraw, Rebecca – Mathematics Teacher, 2017

The task shared in this article provides geometry students with opportunities to recall and use basic geometry vocabulary, extend their knowledge of area relationships, and create area formulas. It is characterized by reasoning and sense making (NCTM 2009) and the "Construct viable arguments and critique the reasoning of others"…

Descriptors: Mathematics Education, Geometric Concepts, Mathematical Formulas, Mathematics Skills

Koyunkaya, Melike Yigit; Kastberg, Signe; Quinlan, James; Edwards, Michael Todd; Keiser, Jane – Mathematics Teacher, 2015

Right triangles play a significant role in mathematics. In this favorite lesson, the authors help students understand variant and invariant properties by considering relationships among angle measures and side lengths in right triangles. Students explore these relationships using interactive mathematics software, changing one angle and observing…

Descriptors: Mathematics Instruction, Geometric Concepts, Computer Software, Mathematics Activities

Cupillari, Antonella – Mathematics Teacher, 2015

Practical problems that use mathematical concepts are among the highlights of any mathematics class, for better and for worse. Teachers are thrilled to show applications of new theoretical ideas, whereas most students dread "word problems." This article presents a sequence of three activities designed to get students to think about…

Descriptors: Mathematical Concepts, Word Problems (Mathematics), Mathematics Activities, Geometric Concepts

DeJarnette, Anna F.; Rosado Lausell, Sahid L.; González, Gloriana – Mathematics Teacher, 2015

How can geometry teachers design great tasks that allow students to make connections among interrelated concepts and expand their geometric reasoning skills? Many curricular materials provide problems for students to apply a single geometric concept. However, these problems do not always promote reasoning opportunities for students, because…

Descriptors: Geometry, Geometric Concepts, Task Analysis, Mathematics Activities

Hsiao, Joy – Mathematics Teacher, 2015

Paper folding, or origami in Japanese, is a traditional craft that has been enjoyed by both children and adults for hundreds of years. Mathematicians have long studied the mathematics of paper folding. They use square papers to construct mathematical shapes (for example, folding an equilateral triangle from a square paper or trisecting an angle),…

Descriptors: Handicrafts, Geometric Concepts, Geometry, Problem Solving