This module examines Rigor, the third of the three shifts required for implementation of the Common Core State Standards for Mathematics (CCSSM). This module is based on the premise that the information from Modules 1 and 2 is well understood. Course Objectives: By the end of the module, the learner will be able to: (1) identify the components of…

Describes how the concept of similar triangles was taught using an optical method of estimating large distances as a corresponding activity. Includes the derivation of a formula to calculate one source of measurement error and is a nice exercise in the use of the properties of similar triangles. (Author/NB)

Teachers know that Differentiated Instruction (DI) helps all students to learn. Yet DI challenges teachers, and nowhere more than in mathematics. In this new book, written specifically for secondary mathematics teachers, the authors cut through the difficulties with two powerful and universal strategies that teachers can use across all math…

Provides a proof that, if two angle bisectors of a triangle are equal in length, the triangle is isosceles (Steiner-Lehmus Theorem) using two corollaries related to a side-side-angle correspondence in a triangle. Introduces historical developments in the discussion of the proof. (MDH)

Includes materials in reproducible format designed to help students read and draw distance-time graphs and use the slopes of these graphs to draw conclusions about car speed. (PK)

The development of the idea that "The essence of mathematics lies in its freedom," a quotation from Cantor, is discussed. Several examples are given of relative truth, and the problem of consistency is discussed. Mathematics and its relationship to the physical world is also explored. (MNS)

Discusses the problem of finding the amount of fence it would require for the outfield fence of a baseball field of given dimensions. Presents different solution methods for each of the levels from grades 9-12. The different methods incorporate geometry, trigonometry, analytic geometry, and calculus. (MDH)

This guide is support material for geometry teachers in middle schools or high schools in South Carolina. The guide describes the content of each program in the television series and suggests further learning activities for the students. The geometry that underlies the world around us is presented through applications. Contents of the series…

Explains standard drawing layouts and rules for creating orthographic and isometric views of a three-dimensional object. Normal and inclined surfaces are also discussed. Concludes with recommended classroom activities. Includes reproducible student worksheets. (FDR)

Describes an analysis of the direction taken by a baseball immediately after coming into contact with the bat. Uses geometry, trigonometry, and physics. (MKR)

Presents an inexpensive laboratory experiment that combines the recommended techniques for teaching fractal geometry in the classroom with the standard procedures for studying electrochemical deposition of ramified patterns in the regime of low solution concentration and low applied constant driving force. Introduces students to fractal growth…

Presents attributes of different types of software including Logo, geometric packages, graphical packages, and spreadsheets, each of which offers different opportunities for learning. Investigates the different ways in which the software allows for performing the given task so as to make the mathematics of the task explicit to users. (KHR)

Describes how mathematical understanding grows and develops while children play with the mathematical ideas they see emerging as they hear and talk about the story "Selina and the Bear Paw Quilt". (Author/NB)

Tensile and compressive forces in planar trusses can be analyzed using either the method of sections or the method of joints. This article summarizes and extends a project accomplished by a high school student using the method of joints and graphing calculators, spreadsheets, and matrix-manipulation software. (MKR)

This is one in a series of manuals for teachers using SMSG high school supplementary materials. The pamphlet includes commentaries on the sections of the student's booklet, answers to the exercises, and sample test questions. Topics covered include directed line segments, applications to geometry, vectors and scalars, components, inner product,…