We report on a group theory activity in which learners explored dihedral symmetries through a tangible geometric model. This approach has historical roots in the work of Felix Klein's Erlangen Program and his "Elementary Mathematics from an Advanced Standpoint." We situate our study with respect to this history as well as current…

This study reports on the development, validation, and reliability of a geometry disposition scale (GDS) to measure pre-service teachers' (PSTs') attitudes to geometry learning. PSTs from two Colleges of Education (CoEs) in Ghana volunteered to participate in the study (N = 153). A principal component analysis (PCA) extracted four factors: deep…

This article presents an overview of the ways technology is presented in textbooks written for mathematics content courses for prospective elementary teachers. Six popular textbooks comprising a total of more than 5,000 pages were examined, and 1,055 distinct references to technology were identified. These references are coded according to…

This book's 28 chapters are adapted and updated from articles published in NCTM's "Journal for Research in Mathematics Education" between 2000 and 2010. The authors have rewritten and revised their work to make it clear, understandable, and--most of all--useful for mathematics teachers today. To help teachers even more, these articles…

Students need to learn how to use technology in a meaningful way to become literate. Teachers should take advantage of technology and what it has to offer. Technology can motivate students and can help them visualize mathematics problems. It can enable them to work on more complex tasks that often involve real-life applications of mathematics. It…

This paper was developed with the goal of enhancing the mathematical preparation of secondary school teachers in the technological paradigm. It shows how two-variable inequalities can be utilized as models for the construction of geometric objects using the software Graphing Calculator 3.5 (produced by Pacific Tech) as a relation grapher. An…

Archimedes' method for estimating the value of pi is developed and compared with the Gregory-Machin infinite series method. Programs for the TI-81 calculator for finding the upper and lower bounds using the classical method and estimating pi using infinite series are provided.(Author/MKR)

Presents a secondary classroom investigation into mathematical modeling techniques with the graphing calculator using a match stick puzzle. Geometric models, through their corresponding area formulas, are constructed, tested, and analyzed graphically to fit specified problem conditions. (Author/MKR)

Identifies a number of algebraic constructs that emerge from conducting investigations in a Logo environment. Details the intellectual struggle of a number of students as they interact with the environment. Reports on the development of a series of comparative case studies with seven students enrolled in an online talent education development…

Because of the extensiveness of the course outline for Math 201 (Manitoba Department of Education), schools would have had to purchase several different textbooks to cover the material adequately. Therefore, a set of materials to supplement the guide was developed. The exercises, projects, and reviews contained in this package are keyed to the 201…

Geometry and a hand-held calculator are used to find a value of pi accurate to five decimal places. (CP)

Presented are instructions for activities in which a calculator is used to investigate algebraic concepts. Also presented are short computer programs involving topics taught in prealgebra and an activity in which a trapezoid is transformed into a circle. (JN)

Reviewed are 13 computer software packages including "Algebra I Second Semester"; "The Algebraic Proposer"; "SVE AutoGraph"; "Geometry: Concepts and Proofs"; "Geometry 1&2"; "Graphics Calculator"; "Interactive Physics"; "Learning Data Analysis with Data Desk";…

This yearbook focuses on the role of technology in school mathematics. Chapters are replete with classroom-tested ideas for using technology to teach new mathematical ideas and to teach familiar mathematical ideas better. Chapters included: (1) "Using the Graphing Calculator in the Classroom: Helping Students Solve the "Unsolvable" (Eric Milou,…

This article suggests: ways to teach algebraic properties; a way to prove the Pythagorean Theorem using transformational geometry; a method of packaging and carrying AC-powered calculators; and a method for teaching standard formulas. (MK)