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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

Gonzalez, Gloriana; DeJarnette, Anna F. – Mathematics Teacher, 2013

What does problem-based instruction do for students and teachers? The open-ended geometry problem presented in this article, along with examples of students' work on the problem, illustrates how problem-based instruction can help students develop their mathematical proficiency. Recent studies have shown that students who experience problem-based…

Descriptors: Mathematical Logic, Mathematics Instruction, Geometry, Geometric Concepts

Peer reviewed

DeTemple, Duane W. – Mathematics Teacher, 1990

Describes how to get equations for parabolas, ellipses, and hyperbolas from conic sections. Provides diagrams both in perspective and in cross-section for each case. (YP)

Descriptors: Equations (Mathematics), Geometric Concepts, Geometric Constructions, Geometry

Peer reviewed

Wielenberg, Peggy – Mathematics Teacher, 1990

Discusses geometric construction problems. Presents four ways to construct a regular octagon using different conditions. Provides drawings showing the constructions. (YP)

Descriptors: Geometric Concepts, Geometric Constructions, Geometry, Mathematics Materials