This publication is a compilation of abstracts and critical comments for 12 published investigations in mathematics education. Information for each study includes: purpose; rationale; research design and procedures; findings; and interpretations. For each study abstractor's comments also provide a brief critique. Topics include: planning problem…

This publication is an abstracted compilation of 15 investigations selected from other journals. The information includes purpose, rationale, research design and procedures, findings, interpretations, abstractor's comments, and references. This journal includes the following reports: (1) "A Constructivist Approach to Numeration in Primary…

This issue of the journal contains abstracts and critiques of ten research reports. They address such topics as: (1) characterizing the Van Hiele levels of development in geometry; (2) children's ideas about commutativity in the early elementary arithmetic program; (3) two children's anticipations, beliefs and motivations about mathematics; (4) a…

Considered is the open-ended question of the various means of marking an n-inch ruler so that the distance of any integral number of inches from 1 to n can be ascertained with a single measurement. The relationship between a sparsely marked ruler, which is one gracefully marked with the fewest number of marks, and specific discrete graphs is…

Clapping music for two performers provides the basis for a series of mathematical problems in combinatorics and group theory. A discussion provides insight about how to avoid overlooking global extrema in constrained max-min problems when solving systems of algebraic equations. (JJK)

A series of four activities are presented to enhance students' abilities to appreciate and use trigonometry as a tool in problem solving. Activities cover problems applying the law of sines, the law of cosines, and matching equivalent trigonometric expressions. A teacher's guide, worksheets, and answers are provided. (MDH)

The number and range of instructional resources in mathematics and science education can be overwhelming to educators. The chief mission of The Eisenhower National Clearinghouse for Mathematics and Science Education (ENC) is to help educators sort through the confusion by identifying relevant resources such as print materials, software, kits, and…

Five sets of activities for students are included in this document. Each is designed for use in secondary school mathematics instruction. Topics include: (1) "5-Con Triangles"; (2) "Striking Sequences"; (3) "Invariants"; (4) "On the Ball," (a geometry lesson); and (5) "Coloring Maps." These topics focus on geometric and statistical concepts. Each…

The document opens with an editorial comment discussing the role of mathematics in teaching and learning. Then, 13 reports related to mathematics education are abstracted and analyzed. Three of the reports deal with problem solving, and another three look at aspects of cognitive development. There are two each on mathematics instruction,…

This document consists of the two issues of the "AMATYC Review" published during volume year 1997-1998. Designed as an avenue of communication for mathematics educators concerned with the views, ideas, and experiences of two-year college students and teachers, this journal contains articles on mathematics exposition and education, and regularly…

Presented are a rationale and sample techniques for the implementation and continued use of alternative school mathematics evaluation programs that are in alignment with the proposed curriculum standards of the National Council of Teachers of Mathematics. Emphasis is directed toward holistic scoring techniques including calculator/computer…

Designed as an avenue of communication for mathematics educators concerned with the views, ideas, and experiences of two-year college students and teachers, this journal contains articles on mathematics exposition and education and regular features presenting book and software reviews, classroom activities, instructor experiences, and math…

Abstracts of 12 mathematics education research reports and critical comments (by the abstractors) about the reports are provided in this issue of Investigations in Mathematics Education. The reports are: "More Precisely Defining and Measuring the Order-Irrelevance Principle" (Arthur Baroody); "Children's Relative Number Judgments:…

Presented are 13 articles which contain abstracts and analyses of research reports related to mathematics education. The first article considers six working papers, on a variety of topics, from E. G. Begle and the Stanford Mathematics Education Study Group. Of the remaining reports, two deal with problem solving, five with some aspect of learning…

Abstracts and comments are presented for 11 studies. There are two each on aspects of problem solving, mathematics achievement, and estimation. The remainder cover topics related to cognitive development, cognitive processes, evaluation, numeration, and student errors. Research as reported in RIE and CIJE between July and September 1982 is also…