This monograph was developed with the intention of addressing the concerns of high school mathematics teachers in Alberta (Canada) who want to base their programs on problem solving but have questions about effective and efficient ways to do so. Considered are the most basic philosophical questions, and a framework is provided to use in solving…

In this bibliographic essay, the author suggests commercial educational products (manipulative materials, activity cards, patterning materials, games, films and filmstrips) which can be used to promote divergent thinking in elementary and secondary mathematics instruction. Price, source, and grade level are listed for each item. (SJL)

Reviews 18 recent texts, supplements, kits, games, and professional references designed to develop problem-solving skills in mathematics, K-12. (SJL)

A set of references on problem solving is provided, coded by age level and types of content. Background information and instructional activities are both included. (MNS)

This bibliography identifies reports of research on correlates, causes, effects, and treatment of test anxiety. The listing was developed for a synthesis of research, performed by meta-analysis at Adrian College, Michigan in 1986-87. Guidelines for including studies were applied as follows: (1) the research concerned academic test anxiety, using…

The purpose of this study was to examine the literature to find out if the recommendation by the National Council of Teachers of Mathematics (NCTM) that mathematics education should focus on problem-solving in the 1980s was being implemented or had caused any changes in the approach to teaching mathematics in the school curriculum. The study also…

This bibliography presents 21 references and abstracts for improving mathematics instruction in two ways. The first aim is to serve as a guide in locating higher-order thinking skills material in mathematics; the second is to encourage the integration of higher-order thinking skills techniques into the mathematics curriculum. Entries are included…

Presents mathematics education research referenced alphabetically by author within three categories (research summaries, articles, and dissertations). Grade or age is indicated for each reference, and an index is included. Index topics include achievement, algebra, arithmetic operations, attitudes/anxiety, calculators/computers, cognitive style,…

This report, prepared for and published by the Mathematical Association of America's Committee on the Teaching of Undergraduate Mathematics, includes a description of the state of the art on problem solving, lists available resources, and makes recommendations regarding the place of problem solving in the college curriculum and ways to teach it.…

This annotated bibliography contains 12 references on computers in elementary school mathematics. Topics include developing mathematical concepts with microcomputer activities, teaching mathematics with computers in primary grades, microcomputers and problem solving, review for grade 1 software, early learning of logic and geometry using…

Computer courseware appropriate for instruction in grades K-12 is listed in this document. Entries are classified by subject or application: (1) communication skills, which include instruction in reading, writing, and research sources; (2) mathematics; (3) college selection services; (4) problem solving; and (5) social studies. Information on each…

References on problem solving are categorized and annotated in this document. The philosophy of problem solving, especially its meaning and its implications for the mathematics curriculum, are examined in references included in the first section. In the second section, references on different strategies and techniques of problem solving that…

This document consists of two major parts. The first, titled Initial Comments, discusses the motivation for creating this material, provides a list of minimal characteristics in calculators for various educational levels, notes a number of basic assumptions on calculator use, and discusses curriculum concerns regarding effects of calculators. The…

Mathematics education research from fourteen studies is abstracted and critiqued in this publication. Six cover aspects of instructional practice, four deal with points in learning theory, two with problem solving, and one each with calculators and sex differences. Research in mathematics education as reported in CIJE and RIE from October to…

Geography teachers can use mathematics to teach fourth, fifth, and sixth grade students about critical global issues. Five sample problems concerning population, poverty, waste, the arms race, and hunger are presented. The global issue related to each problem is discussed, and the solution and mathematical skill are provided. (RM)