This digest suggests that research findings can provide teachers with verification and clarification of how children learn mathematics, and thus how to teach mathematics more effectively. Three topics are discussed: (1) number concepts; (2) problem solving; and (3) manipulative materials. (PK)

This executive summary presents key findings from the 1986 National Assessment of Educational Progress (NAEP) in mathematics. It is designed to alert leaders in classrooms, families, and councils of government to the state of mathematics education in the United States. "Why Mathematics Counts" is summarized in the first section. Then,…

The document is intended to provide direction for research in mathematics education related to sex equity which will take more seriously the notion of cultural influences on performance. The relationship between culture and schooling is explored, and the necessity of studying culture is argued. The paper concludes with the idea that there is a…

This pilot test for ninth grade mathematics is written in both French and English. The test consists of 75 multiple-choice items. Students are given 90 minutes to complete the examination and the use of a calculator is highly recommended. The test content covers a wide range of mathematical topics including: decimals; exponents; arithmetic word…

This achievement test for ninth grade mathematics is written in both French and English. The test consists of 75 multiple-choice items. Students are given 90 minutes to complete the examination, with the use of calculators permitted. The test content covers a wide range of mathematical content including: positive and negative exponents; word…

The purpose of this study was to address issues related to the kind and degree of relationship between mathematical achievement and attitude toward mathematics. Data were gathered on a number of attitudes from 145 college students in a basic mathematics course. Attitudinal data were gathered by means of a six-page questionnaire, essay questions,…

The Provincial Assessment of Mathematics was conducted at grades 3, 6, 9 and 12. There are three major components to the assessment: (1) a written test of the curriculum objectives carried out in May, 1987 for grades 3, 6, and 9, and in June, 1987 for grade 12 (Mathematics 300 and Mathematics 301); (2) a survey of teachers at these grade levels;…

Two major topic areas related to the affective half of prescriptions in mathematics are explored. The first area focuses on stationary or general information about motivation which provides an important backdrop as a prelude to formulating useful individual affective prescriptions. Several observations about stationary motivational variables…

A study examined whether students coming from low income families perform less well on achievement tests than do students in general. Michigan Educational Assessment Program (MEAP) test scores of fourth grade students coming from low income, rural Michigan homes were compared to overall schoolwide and statewide average scores for the period…

The Mathematics Bulletin Series of the International Association for the Evaluation of Educational Achievement (IEA) is intended to serve a number of purposes: (1) to consolidate the decisions of the International Mathematics Committee; (2) to provide a historical record of the development of the Second IEA Mathematics Study; and (3) to provide…

State and national data were used to examine whether Pennsylvania students are part of a national trend of decreasing higher achievers' scores and declining higher order skills. Data from the National Assessment of Educational Progress (NAEP) reports and the Pennsylvania Educational Quality Assessment (EQA) were examined. Analysis indicated that…

The purpose of the study was to assess the relative mathematics achievement of English-speaking pupils enrolled in grades 3, 6, and 9 in regular English or French immersion programs during the 1981-82 and 1982-83 school years. The data were obtained as part of a 2-year evaluation of a system-based mathematics program developed by an Ontario school…

This paper analyzes the quantitative and situational structure of algebra story problems, uses these materials to propose an interpretive framework for written problem soving protocols, and then presents an exploratory study of the episodic structure of algebra story problem solving in a sizable group of mathematically competent subjects. Analyses…

Mathematics 30 is a 12th-grade mathematics course for students in Alberta, Canada. This document is the final test for the course. Intended for administration during January 1989, it contains 45 multiple-choice questions, seven open-ended scannable questions, and three written-response questions. Two and one-half hours are allowed for completing…

Mathematics 30 is a 12th-grade mathematics course for students in Alberta, Canada. This document is the alternate form for the final test for the course. Intended for administration during January 1989, it contains 45 multiple-choice questions, seven open-ended scannable questions, and three written-response questions. Two and one-half hours are…