Difficulties inherent in the reading of mathematics at secondary and college levels are discussed. Special emphasis is placed on the reading of arithmetic numerals, literal numbers, operational symbols, and expressions of relationships, as well as the reading of technical vocabularies and specialized meanings of general words. While each…

Reported are the results of a study to ascertain if verbal, visual-spatial, and numerical abilities were related to the learning of function concepts when taught by instructional approaches thought to be consistent with these abilities. A secondary purpose was to determine the efficacy of these approaches at the eighth grade level. Three subtests…

Intended to be used in conjunction with a traditional curriculum, this book demonstrates the use of the computer, especially the on-line, interactive type of computer, to solve a variety of problems studied in secondary school mathematics. Each chapter presents several problems, and each problem introduces one or two concepts that must be…

This issue of "Investigations in Mathematics Education" is divided into three sections. Section one contains twenty-seven abstracts of published research reports. Section two is a listing of doctoral theses which were included in "Dissertation Abstracts" during the first six months of 1969. The third section is a collection of…

The results of a study of student attitudes toward mathematics before and after studying a "Mathematics Through Science" unit in the eighth grade are given in this report. Six significant attitude differences were found and used to group students into eight attitude groups. The identifying characteristics of these groups are discussed in detail.…

Reported is the everyday teaching and curriculum planning activities of the Madison Project, operated by teachers and mathematicians. Two kinds of informal explanatory experiences are provided in order to involve students in the discovery of significant mathematical concepts--experiences where children do something and experiences where a…

Reported is a study to evaluate the effectiveness of the use of several types of material and several different approaches to teaching of Basic Mathematics to ninth grade students. A suggested outline is given for the implementation of programmed basic mathematics as well as other programmed material in individual schools. The outline considers…

Projects funded under Title III of the Elementary and Secondary Education Act (ESEA) are discussed, with the focus on individualized instruction projects. The locale of the projects varies from Texas to Chicago, New Jersey to California, Kentucky to Minnesota, and others. The topics of some of the projects are pre-school students, handicapped…

This teacher guide is part of the materials prepared for an individualized program for ninth-grade algebra and basic mathematics students. Materials written for the program are to be used with audiovisual lessons recorded on tape cassettes. For an evaluation of the program, see ED 086 545. In this guide, the teacher is provided with objectives for…

This teacher guide is part of the materials prepared for an individualized program for ninth-grade algebra and basic mathematics students. Materials written for the program are to be used with audiovisual lessons recorded on tape cassettes. For an evaluation of the program, see ED 086 545. In this guide, the teacher is provided with objectives for…

This teacher guide is part of the materials prepared for an individualized program for ninth-grade algebra and basic mathematics students. Materials written for the program are to be used with audiovisual lessons recorded on tape cassettes. For an evaluation of the program, see ED 086 545. In this guide, the teacher is provided with objectives for…

This study investigated the effect of mathematics laboratory experiences on middle school students' mathematical achievement and their attitude toward mathematics. An experimental and control group of students was selected from the University Middle School in Bloomington, Indiana. Students in the experimental group (N = 82) attended 40-minute…

The project's objectives were to increase achievement in mathematics, alter behavior in mathematics classes, and alter attitudes toward small-group work through training in small-group dynamics. The subjects were 85 10th grade geometry students assigned to one of two class periods (morning or afternoon). Within each class period, the students were…

This paper describes some game situations used to study how subjects learn mathematical structures, in particular the structures of the cyclic groups of orders 2 and 4 and the Klein-four group. A series of experiments are reviewed and the methods used to determine whether subjects did learn the structures are discussed. Differences in strategies,…

This guide outlines the curriculum for a ninth-year mathematics course for students not prepared to cope with the usual first-year algebra course. It is intended to provide personal relevance for these students by including supplementary units on probability and statistics, slide rule use, flow charting and use of calculators, consumer…