This book is one in a series of teacher resource books developed to: (1) rescue students from the clutches of computers that drill and control; and (2) supply teachers with computer activities compatible with a mathematics program that emphasizes investigation, problem solving, creativity, and hypothesis making and testing. This is not a book…

The purpose of the project was to develop computer games that could be used by students in grades 1-4 as part of their mathematics instruction. Eight games were developed, covering a wide variety of mathematical topics, including number/numeration, computation, geometry, measurement, statistics, and probability. The games were field tested in 20…

Contained in this booklet is a variety of puzzles, games, and activities for students in grades 5-8 "who are looking for an extra challenge." The activities are categorized by number, money, clock, age, fraction, line, logic, and probability puzzles, with some games for two or more players. An answer key is provided. (MNS)

This booklet is designed to show teachers the many things children in preschool through grade 2 can learn about and do with numbers. Included is information on preparing to teach counting skills, getting the classroom ready, activities to do with children, projects for children and teachers, lists of materials, and computer background information.…

This booklet designed for students in grades 4-8 provides 52 activities, including puzzles and problems. Activities range from simple to complex, giving learners practice in finding patterns, numeration, permutation, and problem solving. Calculators should be available, and students should be encouraged to discuss solutions with classmates,…

This paper describes the various procedures associated with the individual interviews that are part of the data gathering processes of the Coordinated Study being carried out by the Mathematics Work Group of the Wisconsin Research and Development Center for Individualized Schooling. The first major section describes the six basic verbal addition…

This study explored student mathematical activity in open problem-solving situations, derived from the work of Polya on problem solving and Skemp on intelligent learning and teaching. Assignment projects with problems for ninth-grade students were developed, whether they elicit the desired cognitive and cogno-affective goals was investigated, and…

This is the final report for a study whose original purpose was to develop a general theory of the situational constraints imposed by the routines of everyday life on arithmetic skills. Section 1 reviews the goals laid out in the proposal in relation to what was accomplished. Section 2 is the draft of "Everyday Cognition: Its Development in…

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…

This monograph was designed primarily to develop awareness of the benefits of using calculators to teach mathematics in grades K-8 and to provide teachers with some specific teaching ideas. The first section, on the rationale for using calculators, presents position statements from various groups and answers some questions about the use of…

Problems in mathematics instruction in Thailand that are related to language include the simultaneous use of both traditional Thai numerals and Hindu-Arabic numerals, misunderstanding of mathematics problems for cultural reasons, and/or difficulty in understanding problem context. Research has shown that elementary and secondary school children…

Some diverse fields in which the effects of mental representations have been noticed are first discussed, largely through illustrations of differing problem-solving experiences. Then the LAKOS Project (Logical Analysis of Cognitive Organizational Structures) at the University of Osnabruck is described. A central concern is the specification of a…

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…

This study examined a selected sample of fourth-grade students who had been previously identified as good or poor problem solvers. The pupils were compared on variables considered as "reference tests" for Verbal, Induction, Numerical, Word Fluency, Memory, Spatial Visualization, and Perceptual Speed abilities. The data were compiled to…

Designed for the students who have taken algebra and geometry and who need to strengthen their skills in problem solving and mathematical applications, this guidebook on minimum course content emphasizes the kinds of skills and procedures used in college placement tests. Overall course goals are specified, a course outline is provided, performance…