In order to provide high school students with general problem-solving skills, two LOGO computer-assisted instruction units were developed--one on the methods and strategies for solution and a second on the relation between formal and informal representations of problems. In both cases specific problem contexts were used to give definition and…

This pamphlet offers information and advice to secondary school mathematics teachers in England. The background is set in the first three chapters, entitled "The History of Mathematics Teaching in England,""The Present Position in the Secondary School," and "The First Stages" (a brief review of elementary school…

The background, objectives, and design of Secondary School Mathematics Curriculum Improvement Study (SSMCIS) are summarized. Details are given of the content of the text series, "Unified Modern Mathematics," in the areas of algebra, geometry, linear algebra, probability and statistics, analysis (calculus), logic, and computer…

The study investigated and compared the effects of a transformation and a non-transformation approach to tenth grade geometry on retention of geometry and on transfer in eleventh grade mathematics. A geometry posttest, an advanced algebra pretest, a geometry retention test, an attitude inventory and an eleventh-grade mathematics achievement test…

This study analyzed students' ability to estimate length, area, and answers to numerical computations and to solve problems by trial and error. Randomly assigned to one of three groups, 196 students enrolled in eleventh grade college preparatory classes were given two of three different test batteries. Scores from these tests along with the PSAT…

This document consists of test questions used in three state high schools teaching the new Matriculation pure mathematics course (approximately grade 12). This material was circulated to all schools teaching this course as a teacher resource. The questions are arranged in 14 papers of varying structure and length. Most questions are of the essay…

The first of three volumes of a mathematics training course for Navy personnel, this document covers a wide range of basic mathematics. The text begins with number systems, signed numbers, fractions, decimals, and percentages and continues into algebra with exponents, polynomials, and linear equations. Early chapters were designed to give insight…

This is the sixth volume of a series produced by the State Education Department of the University of the State of New York. Mathematics objectives and sample items included were originally developed by four local school districts and are not intended to be official or comprehensive, but an aid to teachers in constructing curricula and making…

This study investigated the relationship between algebraic understanding of teachers and student achievement in algebra in one academic year. Pretests to measure teachers' understanding of modern algebra and the algebra of the real number system, student pretests to enable consideration of individual differences, and posttests to measure student…

This paper consists of three articles: (1) "Chinese Mathematics Revision in Accordance with the Teachings of Mao Tse-tung," which shows that Chinese teachers are making concerted efforts to improve both their teaching and curriculum; (2) "Training of Mathematics Teachers in the People's Republic of China," which describes the…

This twenty-second unit in the SMSG secondary school mathematics series is the teacher's commentary for Unit 21. For each of the chapters in Unit 21, a time allotment is suggested, the goals for that chapter are discussed, the mathematics is explained, some teaching suggestions are given, answers to exercises are provided, and sample test…

Some computations when done on the hand calculator yield results which can be read as words or phrases. (SD)

An alternate method for factoring quadratic equations is presented as being quicker and easier to use than the trial-and-error method. (MP)