In this age of easy access to the internet and to spreadsheets, easy-to-apply numerical methods exist that are vastly superior to Simpson's rule and the (corrected) trapezoidal rule. Gaussian quadrature (GQ) is such a method. What follows tells how enthusiastic Year 9 students with a physics problem provoked a science teacher into re-discovering a…

This is a narrative review of research in mathematics education reported during 1987. The purpose of this review is to extract from research reports ideas that may prove useful to school practitioners. Major sections are: (1) "Planning for Instruction" (relating historical developments, aides and grades, teaching approaches, problem…

This digest reviews the National Council of Teachers of Mathematics'"Curriculum and Evaluation Standards for School Mathematics." Topics summarized are: (1) rationale; (2) underlying assumptions; (3) five goals for students; (4) framework for curriculum; (5) standards for each grade cluster; (6) standards for general assessment, student…

Lists references of 16 research summaries, 152 articles, and 220 dissertations alphabetically by author within each category. Provides the grade or age level for each reference. A brief abstract is presented for most of the references. Journals searched and author index by content are included. (YP)

Presented is a 1981 revision of a pamphlet first published by the National Council of Teachers of Mathematics (NCTM) in 1959. The primary purpose of this pamphlet is to provide a comprehensive listing of mathematics tests available that may assist educators in meeting their evaluation needs. Tests covering mathematics from primary school through…

Presented are four fact sheets relating to mathematics education topics and which were produced by the ERIC Clearinghouse for Science, Mathematics, and Environmental Education in 1981. Fact sheet topics are: (1) Females and Mathematics, (2) The Problem of Problem Solving, (3) Mathematics Teacher Supply and Demand, and (4) Microcomputers and…

Some of the instructional techniques developed by the mathematics reform movement are effective with Limited English Proficient (LEP) students, whether instruction is provided in the student's native language or in English. The following assumptions lead to good instruction: (1) students are capable of learning advanced mathematics regardless of…

This digest provides information on determining the effectiveness of school mathematics programs. The purposes for developing accountability programs and characteristics of good mathematics programs are listed. State goals and objectives and standards developed by the National Council of Teachers of Mathematics have furthered the production of…

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)

Presented is an annual listing of research publications on mathematics education, including 37 summaries, 247 articles, and 300 dissertations. Many of the studies are annotated, and a grade or age level is noted for each entry. A list of journals searched and an index are included. (JN)

This is the fourteenth annual listing of research on mathematics education prepared for the Journal for Research in Mathematics Education. References are organized alphabetically by author within three categories: research summaries, articles, and dissertations. Included are 37 summaries, 247 articles, and 300 dissertations. Studies focused on…

This two volume collection of proceedings contains working group reports, research reports, oral reports, poster session reports and discussion group reports presented at PME-NA 21. Only the plenary and research reports are full reports; the others are brief abstracts. Full reports include: (1) "Representation, Vision and Visualization:…

The study of fractions is fundamental in mathematics, yet it is among the most difficult topics for school students. This digest discusses the issues that students face in studying fractions and offers a curriculum consisting of four modules for teaching about fractions. Information about the Rational Number Project, additional resources, and…

Suggestions for using four-function calculators, programmable calculators, and microcomputers are considered in this collection of 36 articles. The first section contains articles considering general implications for mathematics curricula implied by the freedom calculators offer students from routine computation, enabling them to focus on results…

This is the fifteenth annual listing of research on mathematics education prepared for the "Journal for Research in Mathematics Education." References are organized alphabetically by author within three categories: research summaries, articles, and dissertations. Included are 33 summaries, 220 articles, and 297 dissertations. Studies…