Utilizing word problems relevant to automotive mechanics, this workbook presents a concept-oriented approach to competency development in 13 areas of basic mathematics: (1) the expression of numbers as figures and words; (2) the addition, subtraction, multiplication, and division of whole numbers, fractions, and decimals; (3) scientific notation;…

Computer-assisted instruction was utilized in seven separate programs at Stanford involving children. In the Brentwood Mathematics program, multivariate data analysis for 73 first graders led to identification of factors affecting performance on mathematical problems. In the reading program for first and fourth graders, progress was made in…

This publication is a resource for North Carolina teachers of grade 3 through high school in English Language Arts, Mathematics, Social Studies, and Science. It describes five different ways to use "Item Bank Testlets," the sample test questions created for teachers to match goals and objectives in the state's "Standard Course of…

Describes the necessity in college developmental algebra classes for an individualized learning approach that caters to remedial students' different needs. The Mediated Learning Model, used at Brevard Community College, integrates the core elements of traditional instruction with interactive multimedia. (VWC)

Addresses the challenges, risks, and rewards of teaching about linear functions in a technology-rich environment from a constructivist perspective. Describes an algebra class designed for junior high school students that focuses of the representations and real-world applications of linear functions. (MDH)

Explains how a computer uses its vision to determine the area, edge length, width, height, and center of mass in two dimensions from photos of backlit sea shells. Includes HyperCard codes used to instruct the computer to make the calculations. (MDH)

Mathematics educators are concerned about students' lack of ability to translate mathematical word problems into computable forms. Researchers argue that linguistic problems lie at the root of students' difficulties with mathematical word problems. The issue becomes more complicated for bilingual students. It is argued that if students study…

"Everyday Mathematics," published by Wright Group/McGraw-Hill, is a core curriculum for students in kindergarten through grade 6 covering numeration and order, operations, functions and sequences, data and chance, algebra, geometry and spatial sense, measures and measurement, reference frames, and patterns. At each grade level, the…

The focus of this paper is to further understanding of the distribution and the effects of an expanded conception of opportunity to learn on student mathematics achievement. In addition to descriptive statistics, a set of two-level hierarchical linear models was employed to analyze a subset of the restricted-use National Education Longitudinal…

This report describes participation, student characteristics, and achievement for 10 high school courses assessed by the North Carolina End-of-Course Testing Program in 1990-91. Subject areas are: (1) Algebra I; (2) Geometry; (3) Algebra II; (4) Economic, Legal, and Political Systems in Action (ELP); (5) U.S. History; (6) English I; (7) Physical…

Theoretical tools from cognitive science were used to put together a framework for a fine-grained theory of how students learn elementary algebra in the classroom. Developing the framework included assessing the shortcomings of current models, evaluating whether unified theories of cognition can be adapted for learning mathematics in the…

This manual is an instructor's guide for the utilization of the "CCA High School Mathematics Curricula: Advanced Algebra and Calculus" courseware developed by the Computer-based Education Research Laboratory (CERL). The curriculum comprises 34 algebra lessons within 12 units and 15 calculus lessons that are computer-based and require…

This program is for students of grades 8 and 9 who may function a year or two behind their age peers in mathematics. It is designed to develop concepts, skills, and attitudes required for effective computation and problem solving at home, in the classroom, in the workplace, and in the community. Other goals are to develop a positive self concept,…

A collection of 96 mathematics items are presented for state and local education agencies to draw upon in designing their own minimal competency tests. These items, part of the National Assessment of Educational Progress, have been reviewed in terms of their appropriateness for a minimal competency test for high school graduation. The items are…

Georgia's Gainesville College conducted a study to determine the relationship between students' remedial needs and their grades in two required algebra courses: Math 104, introductory algebra for non-science majors, and Math 151, introductory algebra for science and math majors. Grades for the first attempt in these courses were collected for…