Data from the Stanford Test of Academic Skills Level I, administered to 10,910 tenth graders in Hawaii in Fall, 1985, are analyzed. The purposes of this report are to provide information on the effectiveness of the mathematics program in the high school, including the identification of deficiency areas and recommendations for improving…

The Mathematics Pentathlon is a tournament of mathematics games held each spring since 1979 to promote the development of mathematical concepts and skills while fostering interaction among the educational community. There are five games in each of four divisions, for grades K-1, 2-3, 4-5, and 6-7. The focus is on active problem solving and…

The Mathematics Pentathlon is a tournament of mathematics games held each spring since 1979 to promote the development of mathematical concepts and skills while fostering interaction among the educational community. There are five games in each of four divisions, for grades K-1, 2-3, 4-5, and 6-7. The focus is on active problem solving and…

Drawing from experience at Lansing Community College (LCC), this paper discusses how to best prepare students for success in a beginning algebra course. First, an overview is presented of LCC's developmental math sequence, which includes Basic Arithmetic (MTH 008), Pre-Algebra (MTH 009), Beginning Algebra (MTH 012), and Intermediate Algebra (MTH…

A set of teaching and workshop materials has been developed to illustrate the different uses of mathematics in high school mathematics and science classes. It consists of this packet of workshop activities with detailed instructions on how to use them in a combined mathematics-science workshop and a related set of problems (with solutions) that…

This paper describes the equity component of an ongoing mathematics and technology inservice program which aims to create awareness of equity issues and develop strategies essential to achieving equity. Equity interventions are briefly reviewed. Research evidence suggests that social and experiential factors help determine participation in…

This publication contains the Applied Mathematics Curriculum (Carpentry) 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…

A training procedure was developed to improve (or to encourage) the construction of a meaningful problem representation by mentally retarded and learning disabled children. Children are taught to use an external visual representation for arithmetic word problems, in which the meaning of the problem is reflected. The construction of this visual…

This document is intended to describe several software learning environments in an order that parallels a reasonable sequence of use by students. It also describes a planned an designed, but not yet implemented, extension of these environments from the discrete to the continuous case. Each of the implemented environments was developed in…

This book contains about 200 problems. It is suggested that it be used by students, teachers or anyone interested in exploring mathematics. In addition to a general discussion on problem solving, there are problems concerned with number theory, algebra, geometry, and combinatorics. (PK)

This paper discusses the overall design of the PIXIE Intelligent Tutoring System, and more specifically a series of recent enhancements. The original system has been implemented to involve three separate phases: the offline, or model generation phase; the online, or tutoring, phase; and the analysis phase. The offline phase, which is completed…

The purpose of this manual is to present a series of lessons on solving word problems, each focusing on a specific concept. The solving of story problems should be incorporated into the daily mathematics lesson so that children can maintain and increase their skills. The lessons are sequenced according to their complexity. Lessons one through…

The need to consider the interaction of characteristics that affect students' learning is stressed. Levels of cognitive development as proposed by Piaget are presented first, with how they relate to teaching mathematics discussed. Then two cognitive styles, relating to the way an individual most efficiently processes information, are considered:…

The needs of the teacher who seeks successful practical action are different from the needs of the scientist seeking truth. Distinctions made in action science bring out this difference. Action science emphasizes an integration of personal knowledge and social discourse along with objective data in cycles of planning, acting, and fact-finding…

First-year algebra high school students of various ability levels were presented lessons concerning the application of geometry theorems. The lessons varied in terms of the complexity of the examples that were shown. After the lessons, students completed a questionnaire concerning their perceptions of the lessons, and then they were tested over…