Beginning in February 1994, twelfth-grade students who have passed the Ohio Ninth-grade Proficiency Tests in all areas will take the Twelfth-grade Proficiency Tests in writing, reading, mathematics, and citizenship. This fact sheet describes the Twelfth-grade Proficiency Test in mathematics, which is designed to measure a twelfth-grade level of…

This paper illustrates the use of rule space as a tool to support cognitive analyses of students' mathematical behavior. The rule space approach is explained and is then used to classify students into one of two methods for solving linear algebraic equations in one unknown and to diagnose their knowledge states in this topic. A 32-item test with…

This is volume 6 of the series of translations of books from the Soviet literature on research in the psychology of mathematics instruction and on teaching methods influenced by the research. This book contains both a theoretical examination of the connection between instruction and the development of children, and experimental data on a definite…

The Mathematics Education Research Group of Australia (MERGA) was officially constituted in 1980. In 1984, MERGA produced the first review of the mathematics education research carried out in that region. This book is the third in that series of research reviews. An overview provides the context in which the Australian research was conducted and…

This paper gives results of a review of 41 high school, junior high school, and college algebra and mathematics textbooks. The review focuses on two facets of the curriculum: (1) the presentation of the concept of variable; and (2) word problems and the presentation of problem solving skills. With regard to the variable concept it was concluded…

This document contains the course syllabus and 12 independent practice modules for a college level mathematics course designed to provide the necessary foundation for success in calculus, develop logical thinking skills, and enhance analytic skills through problem solving. Topics include relations and functions; inequalities; complex numbers;…

This document includes statements of philosophy and a rationale for the Alberta (Canada) junior high school mathematics program, goals and objectives, a discussion of appropriate content and methods, and a delineation of content using six strands. These include: (1) problem solving; (2) number systems and operations; (3) ratio and proportion; (4)…

This fourth yearbook on research on mathematics teaching in Finland contains five articles, four in English and the fifth in German. "Mathematics as a Cognitive Science" (C. Letteri) examines cognitive aspects related to teaching and learning mathematics, with the focus on the different levels of comprehension and an analysis of basic…

Guidelines that were prepared for use in curriculum development efforts by schools and districts throughout the state of Washington are presented in this document. The philosophy of mathematics education reflected in these guidelines is presented, as are a discussion of areas to be addressed if needed improvements in the K-8 mathematics program…

This learning module provides students with practice in applying algebraic operations to vocational agriculture. The module consists of unit objectives, definitions, information, problems to solve, worksheets suitable for various levels of vocational agriculture instruction, and answer keys for the problems and worksheets. This module, which…

A study was conducted to contrast the characteristics of three groups of college students who completed a developmental algebra course at the University of Maine at Orono during 1980-81. On the basis of a two-part final examination, involving a multiple-choice test of algebraic concepts and skills and a free-response test of problem-solving…

The International Group for the Psychology of Mathematics Education (IGPME) was founded in 1976 at the Third International Congress for Mathematics Education, to promote international contacts and the exchange of scientific information in the psychology of mathematical education. The goal was to further a deeper and more correct understanding of…

Using the Internet to administer homework allows us to determine if students change their homework habits during a semester and if this change results in an improvement in grades.

This proceedings from the annual conference of the North American Chapter of the International Group for the Psychology of Mathematics Education includes the following topics and authors: area measurement (C. B. Beattys, C. A. Maher); error patterns (H. C. Bebout); formative evaluation (J. C. Bergeron, N. Herscovics, N. Nantais); interactive…

The National Council of Teachers of Mathematics (NCTM) Curriculum and Evaluation Standards puts great stress on the mathematical processes of problem solving, communication, reasoning, and making connections. NCTM standards also emphasize new and emerging content areas for middle school students such as algebra, data analysis, and probability.…