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.…

The processes by which conceptual knowledge is constructed during mathematical problem solving were studied, focusing on the cognitive activity of learners (i.e., the ways they elaborate, reorganize, and reconceptualize their solution activity). Underlying this research is the view that learners' mathematical conceptions evolve from their activity…

Computer Algebra Systems (CAS) are computer systems for the exact solution of problems in symbolic form. The newspaper is designed to serve as a conduit for information and ideas on the use of CAS in education, especially in lower division college and university courses. Articles included are about CAS programs in several colleges, experiences…

Each year the New York State Mathematics League (NYSML) and the Atlantic Region Mathematics League (ARML) hold mathematics competitions for secondary school students. This document contains the questions used from 1973 to 1985, and the ARML questions used from 1976 to 1985. For each competition listed the book provides: (1) power questions; (2)…

This study focuses on the possible relationships between cognitive preference scores of algebra students and level of algebra, sex, and performance rank in algebra classes. The sample consisted of 162 students from a high school in the Denver area. The instruments used were the Cognitive Preference Test: Mathematics (Revised) (CPTM) and the…

This publication contains the Applied Mathematics Curriculum (Communications and Electronics) for grades 11 and 12 for the Cincinnati (Ohio) Public Schools. The curriculum is part of a larger program (the Applied Academics Program), which emphasizes the integration of mathematics and the language arts with vocational content. Included in the…

This publication contains the Applied Mathematics Curriculum (Drafting) for grades 11 and 12 for the Cincinnati (Ohio) Public Schools. The curriculum is part of a larger program (the Applied Academics Program), which emphasizes the integration of mathematics and the language arts with vocational content. Included in the document is a description…

The dual purpose of this study was (1) to design instruction in problem representation and solution of algebraic word problems in order to improve the algebraic problem solving skills of learning disabled (LD) adolescents; and (2) to devise and evaluate the effectiveness of instructional procedures for teaching LD adolescents to represent and…

This document contains curriculum specifications for grade 9. Objectives are grouped under seven broad topic areas. For each objective and each topic area a percent of emphasis is given. The broad topic areas and percent emphasis for each of those areas are: (1) number systems, 22 percent; (2) ratios and proportions, 10 percent; (3) measurement, 6…

Research on Teacher Education was the theme for the plenary sessions of the eighth annual meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education. More than 50 papers were selected for presentation at the conference. These papers are grouped into seven categories in these conference proceedings.…

In 1982 the Dade County Public Schools (Florida) began developing test item banks for secondary subject areas, because other testing programs have limited utility for assessing the quality of curriculum, instruction, or learning in specific content areas. In May l984, the approximately 17,000 seventh graders enrolled in Life Science and the…

This document outlines part one of the third year course of the newly implemented New York State Mathematics Curriculum. The three-year Sequential Mathematics sequence designed by New York State is a move in the direction of fusing the formerly separate topics found in algebra, geometry, and intermediate algebra/trigonometry, and introducing…

This document outlines part two of the third year course of the newly implemented New York State Mathematics Curriculum. The three-year Sequential Mathematics sequence designed by New York State is a move in the direction of fusing the formerly separate topics found in algebra, geometry, and intermediate algebra/trigonometry, and introducing…

Sixty-five Year 2 children with ages ranging from six to seven years participated in a teaching experiment to introduce functional thinking. The results show that young children are capable of generalising, can provide examples of relations and functions, can describe the inverse of such relationships and give valid reasons for how they found the…