This booklet is the seventh in a series of nine from the Teacher Training Institute at Hofstra University (New York) and synthesizes the contribution of the late mathematics educator, Alfred Kalfus, to the institute as adviser, guest lecturer, and instructor. Descriptions of the enrichment topics for secondary school mathematics included in his…

This book provides applications for use in the secondary school mathematics curriculum by selecting related articles appearing in the "Mathematics Teacher" during the last 15 years. The articles are grouped into chapters that reflect the main secondary school mathematics courses and categorized by the highest level of mathematics needed…

This document presents Core Course Proficiencies for the State of New Jersey whose purpose is to ensure that all students have equal access to the fundamental knowledge and skills critical to achieving success in mathematics. After an introduction providing rationale and background, the Core Course Proficiencies are presented in three sections.…

This paper discusses a study that examined the establishment of a new senior high school mathematics curriculum into schools in the State of Western Australia. Two aspects of change are discussed: (1) the extent to which the reconceptualization of the pedagogical approach to teaching mathematics encouraged in the reform was taken up by teachers,…

The foreknowledge that a given school mathematics problem might have no specific solution or no solution at all affords students the challenge of investing careful consideration in the explicit problem conditions, as well as in the problem's unstated assumptions. Hence, the implication is that mathematics teachers, rather than speaking to their…

The projection of shadows task developed by Inhelder and Piaget was used to identify error patterns and solution strategies used by diverse populations in a sequence of proportion tasks. In Study A, two group tests were administered to 607 students from science and mathematics classes in grades 9 and 10. A sub-sample of 69 students was involved in…

This guide for high school consumer mathematics (one in a set of curriculum guides developed by Louisiana statewide mathematics curriculum committees) contains a course outline, performance objectives, and coordinated activities designed to teach skills that students will need as citizens and consumers. Background on the development,…

These instructional materials were produced as part of the project, Developing Computational Estimation Materials for the Middle Grades. The introduction to these seventh grade materials covers the following: why teach estimation; how the materials were developed; and how the lessons are organized. The 15 lessons that follow are designed to teach…

These instructional materials were produced as part of the project, Developing Computational Estimation Materials for the Middle Grades. The introduction to these eighth grade materials covers the following: why teach estimation; how the materials were developed; and how the lessons are organized. The 15 lessons that follow are designed to teach…

This manual presents a design for teaching science principles and mathematics concepts through a sequence of activities concentrating on weather, solar food dryers, and nutrition. Part I focuses on the effect of solar energy on air and water, examining the concepts of evaporation, condensation, radiation, conduction, and convection. These concepts…

This teacher resource manual has been developed to assist classroom teachers in implementing the Integrated Occupational Mathematics program for grades 8 and 9. The first chapter of this manual gives an introduction including resources and scope/sequence. The next two chapters describe the overviews and instructional strategies of the grade 8 and…

This report attempts to discover how students think about and use mathematics in open-ended questions. Part I, "Open-ended Questions in Mathematics," describes the rationale for adding open-ended questions to the grade 12 mathematics test of the California Assessment Program (CAP). Part II describes the findings from students' responses…

To facilitate the proper technical use of the test scores obtained from the administration of the tests, the curricular and psychometric characteristics of the tests are described in a series of technical manuals. This manual, the eighth in the series, contains a description of the characteristics of the North Carolina Test of Geometry. This paper…

The purpose of this notebook is to assist educators who are designing and implementing inservice education programs to facilitate the effective use of computer integrated instruction (CII) in schools. The book is divided into the following five sections: (1) Effective Inservice (a brief summary of inservice literature focused on inservice…

This monograph represents 5 years of collaborative discussions among individuals interested in improving the teaching and learning of mathematics beginning in 1985 with the planning of a conference and culminating in the production of this collection of 13 papers to be presented at the conference. Chapters include: (1) an introduction…