Presents a calculator-type computer program, CLICAL, in conjunction with complex number, vector, and other geometric algebra computations. Compares the CLICAL with other symbolic programs for algebra. (Author/YP)

Reviews three geometry textbooks in order to examine both the quantity and content of algebra review. Concludes that although the books incorporate a great deal of algebra, much of it is noncontextual review. (ASK)

This document states the educational goals for Algebra 1 and Geometry in Arkansas' Learning Standards which are defined in the Arkansas Curriculum Framework. The five goals listed for Algebra 1 include Language of Algebra; Solve Equations and Inequalities; Graphs and Tables With and Without Graphing Calculators; Functions, Relations, and Patterns;…

This document presents Core Course Proficiencies for the State of New Jersey whose purpose is to ensure that all students have equal access to the fundamental knowledge and skills critical to achieving success in mathematics. After an introduction providing rationale and background, the Core Course Proficiencies are presented in three sections.…

Presents a mathematical puzzle that asks about "missing" area and leads to an exploration of the Fibonacci sequence as well as genuine inquiry in plane geometry connected to algebra. Discusses the inquiry, the concepts, the solution, and an extension that deepens all students' understanding of the connections between algebra and…

Presents a model for teaching reasoning using technology in the contexts of algebra and geometry. (MKR)

This booklet contains mathematics unit plans for Algebra 1, Geometry, Math for Technology, Mathematical Problem Solving, and Pre-Algebra developed by PACE (Promoting Academic Excellence In Mathematics, Science & Technology for Workers of the 21st Century). Each unit plan contains suggested timing, objectives, skills to be acquired, workplace…

Discussed are two approaches to determining which regular polygons, either inscribed within or circumscribed about the unit circle, exhibit rational area or rational perimeter. One approach involves applications of abstract theory from a typical modern algebra course, whereas the other approach employs material from a traditional…

The geometry problems of finding rectangles that have numerically equal areas and perimeters knowing when the plane can be tessellated by congruent regular polygons are connected by the equation: m = 2n/(n-2). Three graphic approaches to the solution of the problem when m and n are integers are discussed. (MDH)

Discusses the use of activities demonstrating connections between algebra and geometry, which helps students gain a conceptual understanding of important calculus ideas and gives a historical appreciation of how mathematics evolves. Uses distance, speed, and time problems as an example. (MKR)

North Carolina revised its "Standard Course of Study" in 1985 to reflect the knowledge, skills, and attitudes needed to function in an industrial age. The entrance into what is being called the information age brings new challenges in preparing students with new skills in the areas of creative thinking, problem solving, interpersonal…

This course of study guide is designed to help teachers establish a continuity within the scope and sequence of their elementary school mathematics curriculum and to assist those teachers in formulating some realistic goals for themselves and their students. Part I contains an introduction and statement of philosophy. Part II contains course…

Data from the 1980 High School and Beyond (HSB) study are used to examine the variables associated with the grades that college-bound high school sophomores received in English, algebra, and geometry courses. Special concerns included determining if gender differences in high school grades could be explained, and how teachers' perceptions of…

This report is incorporated into "Attaining Excellence: A TIMSS Resource Kit." Released in Fall 1997, the TIMSS resource kit was developed for educators and those interested in using TIMSS data to improve teaching, curricula, and student achievement in state and local communities. This module presents information about the grade 8…

Demonstrates the use of hexagonal dot paper in integrating algebra, geometry, and trigonometry within a single problem-solving setting rather than treating them in isolation. Suggests other related mathematically challenging activities for enrichment. (AIM)