This book, photographically reproduced from its original 1942 edition, is an extended essay on one of the three problems of the ancients. The first chapter reduces the problem of trisecting an angle to the solution of a cubic equation, shows that straightedge and compasses constructions can only give lengths of a certain form, and then proves that…

The purpose of this study was to investigate the relationship between the sensing and intuitive personality characteristics, as measured by the Myers-Briggs Type Indicator (MBTI), and mathematics achievement in computation, concepts and applications, mathematics attitudes, and intelligence. The 195 eighth-grade students in one junior high school…

Expanded abstracts and critical analyses are given for each of 13 research articles. Six articles are concerned with evaluating methods of instruction, four deal with evaluation of student achievement and attitudes, one is concerned with test construction, and three articles investigate patterns of learning and learning hierarchies. (DT)

Behavioral objectives for geometry, algebra, computer mathematics, trigonometry, analytic geometry, calculus, and probability are specified for grades 10 through 12. General objectives are stated for major areas under each topic and are followed by a list of specific objectives for that area. This work was prepared under an ESEA Title III…

A program is described which combines multi-level grouping and individualized progress curriculum through teacher-prepared Learning Activity Packages (LAPs) in different subject matter areas. The organization and implementation of the program are discussed in detail, including goals of the program; placement of students at appropriate levels;…

This guide includes a chapter on concepts related to measurement, a chapter describing the various measuring instruments that are used in the field, and a chapter indicating realistic class projects using field instruments. Twenty-three plates contained in the publication are designed as masters to make transparencies for classroom instruction. A…

Sixteen mathematicians from universities, schools and industries met for five days in 1966 to plan a "second round" curriculum which would place greater emphasis on the relevance of mathematics to problems of the real world. Their deliberations are reported in this document. The three main recommendations were that the curriculum should…

This report of a statewide Mathematics Advisory Committee outlines the kindergarten through grade eight mathematics curriculum in terms of nine "strands": Numbers and Operations, Geometry, Measurement, Applications of Mathematics, Statistics and Probability, Sets, Functions and Graphs, Logical Thinking, and Problem Solving. Broad goals…

Two studies attempted to determine whether a programed instruction booklet on a task in algebra would be more effective if the units in the program were presented in a sequence suggested by a hierarchical analysis of the task than if units were presented in a reverse or a random sequence. In the first study, a program was made up, based on the…

This nineteenth unit in the SMSG secondary school mathematics series is the teacher's commentary for Unit 17. First, a time allotment for each of the chapters in Units 17 and 18 is given. Then, for each of the chapters in Unit 17, the goals for that chapter are discussed, the mathematics is explained, some teaching suggestions are given, answers…

This volume presents four papers originally drafted for a symposium on sex differences and mathematics education held at the 1974 meeting of the American Educational Research Association. Subsequent to the AERA meeting the papers were revised. The paper by Fox reviews results of several contests to identify junior high school students who were…

This document contains papers prepared for two meetings involving the French educational research in mathematics institute (IREM) and the German institute (IDM) at the University of Bielefeld. The 14 papers concern: (1) the organization of the school systems in the Federal Republic of Germany and in France; (2) mathematics curricula in German…

This study tested the existence of a positive relationship between interest and problem-solving ability when problems were set in the area of interest among secondary-school students. Three parallel forms of a verbal problem-solving test, corresponding to the interest areas of outdoor, computational, and scientific, were constructed by the…

Eighty-one bright eighth-grade students were selected for an accelerated program in algebra. Students were classified by sex and by chronological age; the three age cohorts were 143-156 months, 157-159 months, and 160-165 months old. Success in the course, as measured by course grade, was considered in relation to age and sex; IQ score was used as…

Part I of this booklet contains a brief report of the procedures and the philosophy of the SMSG writing teams for each of the following areas: junior high school mathematics; algebra; geometry; geometry with coordinates; eleventh-grade mathematics; twelfth-grade mathematics; and mathematics for grades 4, 5, and 6. Part II includes a criticism of…