This volume is organized into six parts. Chapters 1-5, which make up Part 1, first discuss the forces impinging on algebra in the curriculum and suggest possible directions for change. Chapters 6-8, Part 2, concentrate on concepts and teaching possibilities available prior to the formal introduction of algebra. The notion that algebraic ideas are…

A case study of a seventh-grade mathematics classroom was conducted for almost three months in l985-86. The purpose was to investigate factors related to mathematics achievement. The 16 students consisted of 4 black females, 3 black males, 5 white females, and 4 white males; the teacher was a black male. The data came from field notes and audio…

Data are reported for the classroom observational portion of a cross-sectional study conducted in Tasmania, Australia to examine the acquisition and development of addition and subtraction skills in young children. During the study, a group of students in grades l, 2, and 3 who differed in cognitive processing skills were observed during…

A study of 60 elementary and secondary math and science teachers who were nominated by their peers as effective microcomputer-using teachers was conducted to describe how peer-nominated teachers use microcomputers instructionally, and how these uses vary as a function of teacher characteristics (e.g., knowledge, attitudes) and other background…

The six chapters in this report focus on: (1) a basic orientation for a focused research agenda; (2) research on reasoning (considering the development of competence and the search for generality in reasoning skills); (3) research on instruction (examining research on teachers, curricula and curricular materials, and testing); (4) research on…

This unit is 1 of 12 developed for the university classroom portion of the Mathematics-Methods Program (MMP), created by the Indiana University Mathematics Education Development Center (MEDC) as an innovative program for the mathematics training of prospective elementary school teachers (PSTs). Each unit is written in an activity format that…

To assess enrollment trends in Michigan colleges and universities, two surveys were conducted in 1976 and 1977. Community colleges reported either fairly constant enrollments in remedial courses or slight increases; many of their students had always needed remedial work. For four-year institutions, increases were often dramatic. This is paralleled…

This collection of 10 papers aims to provide teachers at all levels with ideas on a number of important aspects of mathematics education. The Report of the Committee on Inquiry into the Teaching of Mathematics (Cockcroft Report) has provoked wide discussion in England, and the papers examine some contemporary issues in school mathematics in light…

In response to the current decline in the quality and quantity of precollege mathematics and science education in the United States, the National Science Board (NSB) established the Commission of Precollege Education in Mathematics, Science, and Technology. The purpose of this Commssion is to define a national agenda for improving mathematics and…

Systematic changes in their classroom environments occur when students make the transition from upper-elementary to junior high school. Students typically experience a transition from a self-contained classroom to departmentalized instruction in junior high school; they often also experience a transition from heterogeneous to homogeneous,…

This paper describes Detroit's "Peer Teachers as Mirrors and Monitors" project, a cost effective approach to increasing student achievement in mathematics and reading in grades one through four in Title I schools. The program consists of: (1) an observation/feedback system giving teachers data from their students' engaged-in-learning…

Public and private teacher-student interactions were coded for 551 students during 10 mathematics class periods in 18 classrooms, grades 5 through 8. The observation system used was a modified version of two systems, the Brophy and Good teacher-student dyadic interaction system, and the Dweck et al. observation system to code evaluative feedback.…

The first volume of these conference proceedings includes an introductory talk (on why statistics should be taught), three plenary papers (discussing stochastics at the school level in the age of the computer, optimum balance between statistical theory and applications in teaching, and the relevance of statistical training), and 35 invited papers.…

This collection of documents promotes simulation as an attractive topic in mathematics instruction that provides game-like activities likely to interest pupils, by illustrating the important ideas of probability and showing how mathematical models can be used in practical problems clearly relevant to everyday life. While computer programs written…

This study explored the importance of group interaction for learning. It investigated: (1) the relationship between group interaction and achievement, and whether this relationship was constant across ability levels; and (2) the importance of ability, extroversion-introversion, and group composition as predictors of group interaction. The sample…