Computer software that shows students visual models of mathematical concepts--and lets them manipulate those models by doing math--has a certain intuitive appeal. Now, recent research on SimCalc Mathworlds, one of the pioneering examples of such software, is providing some of the best evidence so far that the approach can lead to gains in student…

"Saxon Math" curricula and materials are available for grades K through 12, with the content and skills designed to meet National Council of Teachers of Mathematics (NCTM) standards and various state standards. This WWC report focuses on middle school math curricula, defined as all Saxon Math curricula for grades 6 through 9. The…

This paper describes a 2-year collaborative action research project in which the focus was to investigate the effects of the use of "Hands-On Equations" mathematics manipulatives in an algebra class on students' confidence, interest in, and ability to solve and retain understanding of algebraic equations. The first phase centered on documenting…

This study investigated the development of students' abilities to see connections between algebraic equations and life-situated relationships during an extended problem solving experience. The design problem required students to analyze some aspect of their socio-physical environment for cause and effect and to generate a dynamic model using the…

Background information on the history and rationale for Tech Prep introduces the description of a study that examines the perceptions of students enrolled in Applied Mathematics 1 and Applied Mathematics 2 courses which are based on the Center for Occupational Research and Development's (CORD) applied mathematics curriculum. The primary goal is to…

This study examined effects of cultural and curricular variables on algebraic reasoning in early and middle adolescence. Four algebra curricula in England and Russia were included in the design. Two age groups were included in the samples: 10- to 14-year-olds, and 14- to 16-year-olds. Algebraic reasoning processes were examined using a written…

Exploring whether deductive reasoning can develop adequately without special instruction, this paper presents two studies that examine the development of meta-components of deductive reasoning, first in algebra, and second in verbal reasoning. The first study examined students' understanding of logical necessity in algebraic tasks in different…

This paper speaks to the challenges, risks, and rewards of teaching about linear functions in a technology-rich environment from a constructivist perspective by describing a Foundations of Algebra class, which was designed and taught to junior high school students in such an environment in the summer of 1991. The design and implementation of the…

One of the four algebra word problem structures found in K-12 textbooks is the propositional relation structure (Mayer, 1982). This type of problem asks students to establish equivalences between the variables or noun referents in the problem. The literature available indicates that students have inordinate difficulties, when trying to solve a…

This issue of "Indicator of the Month" lists percentages of high school graduates taking selected mathematics and science courses in high school in 1982, 1987, 1990, and 1992. Findings include: (1) High school graduates in 1992 were more likely to take mathematics courses at the level of algebra I or higher and most science courses at the level of…

The North Carolina Testing Program is based on the assessment of higher level skills, the skills required to solve problems and make informed choices and decisions. This guide explains the end-of-course tests that are a component of the Testing Program and provides information to interpret them. The end-of-course tests for high school students are…

A research study conducted at Sam Houston State University (Texas) compared the final grades of students who chose the lecture method of instruction with the final grades of students who chose the self-paced method of instruction in introductory algebra classes. All students were required to take seven tests plus a comprehensive final examination.…

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…

In response to the large numbers of students who were failing or dropping out of basic algebra and calculus classes, Cottey College, in Missouri, developed a math placement program in 1982 using Basic Algebra (BA) and Calculus Readiness (CR) tests from the Mathematical Association of America's Placement Testing Program. Cut off scores for the…

In 1991, a survey was conducted at California's Sierra College (SC) to determine the types of students enrolling in algebra classes and to explore their attitudes about mathematics. The student population surveyed consisted of all students enrolled in 27 algebra class sections on the SC campus. The survey focused on students' reasons for enrolling…