The concept of multiplication is described and illustrated using several different representational systems. A conceptual approach to teaching mathematics is compared with the procedural approach commonly found in the school curriculum. Four different methods of representing the multiplication process with numbers larger than ten are presented:…

Fourth in a series, this cumulative report reviews Apple computer courseware and some IBM courseware (Business and Math sections) authorized by Alberta Education from January 1983 through May 1985. It provides detailed evaluations of 168 authorized titles in business education (17), computer literacy (12), early childhood education (8), language…

This paper describes a classroom teaching experiment conducted in three fifth-grade mathematics classrooms with students of different achievement levels. Virtual fraction manipulative concept tutorials were used in three one-hour class sessions to investigate the learning characteristics afforded by these technology tools. The virtual fraction…

CONDUIT reviews and packages computer-based materials as alternative methods of teaching in higher education. Curriculum areas include biology (4 packages), chemistry (3), management science (9), mathematics (2), physics (6), and social science (17). This catalog individually describes the programs including suggested previous coursework, specific…

Presented are the following reports: (1) Math Anxiety: Real and Complex; (2) Math Anxiety and Middle School Students; (3) Math Anxiety and College Freshmen; (4) Math Anxiety and Elementary Teachers; and (5) Math Anxiety: Conclusions, Discussions, and Remedies. The studies attempt to answer questions regarding mathematics anxiety: (1) what is it,…

A brief overview of the language of mathematics is presented, with specific attention given to its structure and facility. It is felt that professional discretion has to be exercised as to which elements of the material are acceptable for student use. However, it is viewed as essential that teachers be exposed to the structure in order to deal…

The Money Management for Women program was designed and implemented to provide lower-income women with financial planning information geared to their current level of understanding and financial circumstances. Objectives were to develop a model consumer education program and test the efficacy of community-based organizations as agents in…

This instructional unit on budgets is one of six Adult Competency Education Learning Modules designed for use in a program of competency-based instruction for students with reading levels of 4.0-7.5. It is self-contained and designed for immediate classroom use. Each module is a complete instructional package, including Adult Performance Level…

This instructional unit on housing is one of six Adult Competency Education Learning Modules designed for use in a program of competency-based instruction for students with reading levels of 4.0-7.5. It is self-contained and designed for immediate classroom use. Each module is a complete instructional package, including Adult Performance Level…

This unit, which looks at applications of linear algebra to population studies, is designed to help pupils: (1) understand an application of matrix algebra to the study of populations; (2) see how knowledge of eigen values and eigen vectors is useful in studying powers of matrices; and (3) be briefly exposed to some difficult but interesting…

The development and field testing of two instructional mathematics programs are discussed. The general instructional program evolved from earlier research, and was field tested with 40 teachers and over 1000 fourth-grade students. Data reflected that this program had strong, positive effects on students' achievement. The second program focused on…

This study used 152 grade eight students ranging in age from 12 to 14 years from a suburban middle school in central New Jersey. The investigations gave particular attention to the identification of variables that represent understanding of fundamental mathematical structures. The first year of the research took place during the 1978-1979 school…

The survey, conducted during 1979-80, focused on practices in the professional component of preservice teacher education in West Germany and the Netherlands. The report is divided into four major sections: (1) the structure of the questionnaire (included in the appendix), (2) the West Germany results, (3) the Dutch results, and (4) concluding…

Presented is an overview of the 1979 Illinois Inventory of Educational Progress (IIEP) for fourth-grade mathematics. The IIEP is a systematic effort by the Illinois State Board of Education to collect information on the educational achievement of Illinois students in certain areas and to make that information available to education…

This report on Compensatory Education (CE) documents the kinds, amounts, and costs of resources used in providing reading and mathematics instruction. A resource-cost model translated the measures of resource exposure into estimates of standard dollar costs for each student's instructional program. The overall strategy for estimating costs…