This report provides a detailed analysis of skill complexes in the multi-year sequence of arithmetic and general mathematics that are covered in school textbooks prior to the beginning of formal algebra. The analysis is organized to show the shape of the learning opportunity that most students are likely to get in school by about the time they…

A taxonomy of mathematical topics is given for the Mountain View School District Bilingual Diagnostic-Prescriptive Mathematics Program. The program consists of level K and levels 8 through 1, with level K being the least mathematically mature level and level 1 the most mature. The taxonomy includes concepts and activities involved within each…

A study was conducted to determine what mathematics skills were needed for Dental Laboratory Technology, Medical Laboratory Technology, and Respiratory Therapy. Data obtained from studies, course outlines, textbooks, and reports were used to construct a 79-item mathematics skill questionnaire. This questionnaire was administered to employers,…

This paper, based on the inquiries of the General Mathematics Project, makes a case for naturalistic research in mathematics classrooms. In explicating the case, consideration is given to the need for information on classroom practices and the consequence of those practices on teaching and learning. Also considered is the need for research that…

Twelve research reports related to mathematics education are abstracted and analyzed. Three of the reports deal with aspects of learning theory, two with student characteristics, and one each with calculators, problem solving, secondary mathematics curriculum changes in Australia, sex differences, teaching methods, and tutoring strategies. The…

This curriculum guide provides aid in organizing and planning for the mathematical needs of the individual classroom. It is recommended that: (1) each teacher study the entire curriculum to become familiar with the concepts that interlock and blend all the grades together, and (2) all students with average ability master 70% of the skills. The…

This study consists of a review of research on calculator use in both elementary and secondary education. The bulk of this document consists of annotations of the research reviewed, and is categorized under three headings: 1) Calculator Effects on Computational Achievement and Attitude Toward Mathematics; 2) Calculator Effects on Problem Solving…

This document contains the following titles: 1) Students' Use of Diagrams and Visuality in Mathematics; 2) Papua New Guinea University Student Attitudes to Mathematics; 3) Research on the Teaching of Problem Solving at the Papua New Guinea University of Technology: Retrospect and Prospect; 4) Adult Numeracy with a Calculator: Some Problems; 5) A…

Presented is a second supplement to previous lists of references. This document is a compilation of information collected by the Calculator Information Center between December 1980 and March 1982. Included are references which previously appeared on bulletins distributed by the center, plus articles from newsletters and similar less readily…

The data reported were obtained from two investigations carried out by the Australian Council for Educational Research in 1964 and in 1978. Each study was conducted at two levels of the secondary school. A subset of the 1978 samples is considered, which comprises students in government-only schools, so that effective comparisons can be made. Among…

This investigation of the possible effects of using calculators in mathematics teaching was based on an analysis of the cognitive and affective aims of mathematics education in the nine-year comprehensive school in Finland attended by all children aged seven through fifteen. The experiment consisted of a comparison of two fourth-grade classes…

Presented is the final product of a task force commissioned by the West Virginia Department of Education (WVDE) to study mathematics education in the state and formulate recommendations for improving mathematics achievement. The Mathematics Task Force (MTF) was commissioned in April, 1979, after the WVDE formally recognized mathematics as a top…

This publication is the teachers' manual, level 9, of the Instructional Support Systems (ISS) Program, which was developed by the Community School District 18 of New York. The curriculum was designed to fulfill the requirements established by the New York State Board of Regents for the Algebra I course. Two sequences of modules are suggested, for…

Investigated was the effect of format variables that describe mathematical word problems in relation to problem-solving difficulty. Changes made by sixth- and eighth-grade students when asked to rewrite problems in a more adequate or easily understandable format were analyzed. Thirty-five sixth and eighth graders enrolled in a Mentally Gifted…

Pascal's Triangle is an important numerical table; with its help, a number of computation problems may be solved. Some of these problems are examined and the question of what"solving a problem" can mean is generally considered. (Author/MK)