This is the last of six guidebooks setting minimum course content for first-year algebra; it covers algebraic and graphic solutions to systems of equations, relations and functions, and variation. After course goals are stated and performance objectives listed, a course outline, textbook references, and teaching suggestions are given. Pretest and…

This is the second of two guidebooks on minimum course content for high school geometry, and is designed for the student who has mastered the skills and concepts of Geometry I and who had a final average of low B or less. Emphasis is on understanding and use of theorems without proof. This course develops definitions and properties of triangles,…

This report carries the story of the establishment and expansion of the Schools Council-Nuffield Foundation project in primary mathematics (ages 5-13) up to the end of 1966, and looks ahead to the implications emerging for teachers, administrators, employers and parents. (Author/MM)

This book contains a collection of papers on the teaching and learning of mathematics. The work of A. G. Sillito, a renowned Scottish mathematics educator, is the theme for these papers. The first three papers emphasize Sillito's influence in Scottish schools. A wide variety of mathematical ideas are discussed in the papers and include such topics…

The following topics are discussed in this state handbook: (1) characteristics of a modern math program (structure, vocabulary, correctness); (2) teacher preparation (program descriptions and source material lists for inservice education and the CUPM recommendations for training math teachers); (3) initiating a modern program in mathematics in a…

Three Project Solo modules are presented. They are designed to teach the concepts of elementary matrix operation, matrix multiplication, and finite-state automata. Together with the module on communication matrices from Newsletter #17 they form a well motivated but structured path to expertise in this area. (JY)

This teacher's guide for a semester course in analytic geometry is based on the text "Analytic Geometry" by W. K. Morrill. Included is a daily schedule of suggested topics and homework assignments. Specific teaching hints are also given. The content of the course includes point and plane vectors, straight lines, point and space vectors, planes,…

The purpose of the study was to gain information regarding the interaction between ten mental factors selected from Guilford's Structure of the Intellect Model and learning, transfer, and retention of a mathematical concept studied with and without a physical model. The meaning of place value in different number bases was studied by 202 seventh…

The possibility of preparing a set of word problems of a predicted level of difficulty based on six variables (for multiplication, division, recall, conversions, operations, and number of words in the problem statement) and on regression equations developed in previous work was investigated. Four problem sets were used in grades four through six,…

One hundred seventy-six seventh grade students underwent a recorded interview where each was given a set of computational exercises and asked to say aloud his thinking as he worked them. The most frequently used strategies in computations with whole numbers and fractions are described in detail, an analysis of the nature of wrong answers is…

The existence of inductive and deductive learning styles and their effect on mathematics achievement were investigated. On the basis of achievement scores on two tests, 298 eighth grade students were chosen, stratified by sex and previous mathematics achievement, and randomly assigned to one of four instructional sequences. No significant…

This annotated bibliography lists research related to mathematics teaching and learning published in the United States in 1971. Each annotation gives major results and appropriate level of the study. The first section (Research Summaries) lists research summaries which review groups of research studies or basic research techniques. The second…

This collection of 123 objectives and related evaluation items is for general mathematics in grades 10 through 12. The content has been organized into nine major categories: sets; numbers, numerals, and numeration systems; operations and their properties; measurements; per cents; geometry; probability and statistics; logic; and applications and…

Results of studies by the Office of Education carried out in 1948-49, 1960-61, and 1969-70 are compared for total enrollment in grades 9 through 12 and for total enrollment in selected science and mathematics courses in grades 9 through 12 in U.S. public secondary schools. The findings showed that the total number of public secondary school…

This newsletter summarizes findings from the research on secondary school mathematics published during 1971 that might be used by teachers. Covered is research on behavioral objectives, individualized procedures, comparisons of "modern" and "traditional" programs, activity learning procedures for teaching geometry, learning of…