Designed to serve as a supplement for high school level mathematics, this publication contains activities which aim to enhance mathematical knowledge and skills and to assist students in understanding aerospace technology and its achievements. This volume updates an earlier supplement that was published in 1972. Problems are grouped into chapters…

This document contains the course syllabus and 12 independent practice modules for an introductory college algebra course that requires some previous knowledge of algebra and the ability to work at a rapid pace. Topics include the basic operations with signed integers; fractions; decimals; literal expressions; algebraic fractions; radicals;…

This curriculum guide for junior high mathematics contains objectives, clarifications or examples, elective suggestions, and ideas for the integration of problem solving and technology for grades 7, 8, and 9. The strands running through all three grade levels are: (1) problem solving; (2) number systems and operations; (3) ratio and proportion;…

The Sequential Mathematics Sequence provides an integrated course of study for grades 9-11 in New York City. This document presents lesson plans for part one of the first-year course, designed for ninth grade. The curriculum interweaves algebra, geometry, logic, probability, statistics, and trigonometry, with the emphasis in the 60 lessons in this…

Knowledge about the structure of arithmetic expressions enables people to reason effectively about such expressions, including an ability to judge equivalence under transformations. This paper reports an empirical study of six middle-school children who judged the equivalence of three sets of three-term arithmetic expressions with an addition and…

This paper presents a critical review of computer assisted instruction (CAI); an overview of recent intelligent tutoring systems (ITSs), including current perceived shortcomings; major activities of the field, i.e., analysis of teaching/learning processes, and extending and developing artificial intelligence techniques for use in intelligent…

This document reports on a study into the relationships between cognitive preferences, achievement, and ethnicity of first year algebra students. The sample consisted of 175 students from two high schools in the Denver (Colorado) metropolitan area. The two schools were chosen because of the diversity of ethnic groups in the student populations.…

The Corrective Feedback Paradigm (CFP), a computer-based instruction model, addresses the problem of inefficient sequencing of items in a set to be learned by suggesting the use of an increasing ratio review schedule for presenting drill items. With this system, items answered correctly are either removed from the list entirely or replaced at the…

Twenty-five outstanding middle grade mathematics teachers were selected to participate in a three-week workshop presented by the Middle Grades Mathematics Project (MGMP) at Michigan State University. A major focus was on the development of leadership; the workshop involved guest speakers, field trips, and an intensive immersion in the MGMP…

This textbook is second in a series of three volumes presenting a mathematics course for junior high school and six-year high schools. This volume covers algebra, and arithmetic related to trade, transportation, industry, building, banking, corporations, home life, farming, community life, civic life, investments, and mensuration. [For Book I, see…

At Kings River Community College, analyses were conducted of the grades and characteristics of students in Mathematics A (Elementary Algebra), Mathematics B (Plane Geometry), Mathematics C (Trigonometry), and Mathematics D (Intermediate Algebra) to determine which variables were significantly related to student success. Data were gathered on 69…

Presented are review questions and exercises for several mathematics topics. The first five sections cover the following major topics of the course: algebra, geometry, logic, probability, and statistics. Each of these five units follows a similar format. Each major topic is broken into several subtopics, with examples for each topic taken from…

These units were produced by a team exploring the possibility of developing some of the basic concepts of mathematics through simple, but significant physical science experiments. The purpose of the entire project is to see if learning and understanding of mathematics can be improved by the use of these science-related units in mathematics…

The Commonwealth Computer-Assisted Instruction Consortium's ninth grade algebra and mathematics development programs continued to progress along several lines during the period ending November 15, 1969. Responsibility was assigned for authoring the remaining chapters of the programs and criterion tests were developed for on-line administration at…

The University of Maine at Augusta uses an individualized video-taped mathematics instructional system to eliminate students' math weaknesses before they attempt college math. The course, "1 Mth Developmental Mathematics," is part of the Educational Assistance Program and teaches basic skills and concepts of arithmetic and algebra. The…