Research Ideas for the Classroom is a three-volume series of research interpretations for early childhood, middle grades, and high school mathematics classrooms. Each volume looks at research from the perspective of the learner, the content, and the teacher, and chapters are co-authored by a researcher and a teacher. Chapter titles in the high…

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…

Two cases are described in which alternative assessments have been successfully employed in college mathematics. Case 1 describes an alternative assessment applied in a class of 10 elementary school teachers studying Euclidean geometry as required by state teacher-certification requirements. One student asserted that he already had an adequate…

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 psychological mechanisms that underlie human question asking and answering during comprehension and complex learning were studied. The transcripts of 83 tutoring sessions on research methods for college students and 22 algebra tutoring sessions for seventh graders were collected and analyzed. It was estimated that student questions were about…

This paper explores the feasibility of neural computing methods such as artificial neural networks (ANNs) and abductory induction mechanisms (AIM) for use in educational measurement. ANNs and AIMS methods are contrasted with more traditional statistical techniques, such as multiple regression and discriminant function analyses, for making…

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…

Methods are described for visualizing and characterizing user interactions with hypermedia systems; they have been found to be effective in several developmental and evaluation studies. Analyzing the patterns of user interaction makes it possible to evaluate the design and usefulness of such systems. Path algebras can be used to describe and…

This project used an "intrinsic models" approach to develop a sample of microcomputer materials on graphing linear and quadratic equations and on recognition of general functional relationships. The "intrinsic models" approach uses motivating activities which are direct expressions of the underlying mathematics. The area of…

Developed to provide assistance and support to local schools that want to improve their secondary mathematics programs, this guide provides an updated view of what North Dakota educators feel is necessary in a secondary mathematics curriculum. An overview of perceived statewide mathematics objectives and a review of national perspectives on…

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…