The slow learner is defined as a student whose IQ falls between 75 and 90 or who ranks below the thirtieth percentile of the student population in mathematical achievement. His characteristics and special needs are discussed in some detail. A presentation of selected methods and techniques for instructing slow learners to add and subtract…

The problem-solving strategies used by tenth-grade students in the solution of mathematical problems were investigated. Forty students selected from four high schools were given pretests generating sixteen scores related to mathematics achievement, attitude toward mathematics, and other ability measures. These students were then asked to solve…

Reported are the results of a study conducted to determine if regular usage of mathematical games could prove effective for teaching mathematics to low achieving secondary students. It was hypothesized that motivation from games would result in improved attitudes without reducing achievement. The control group worked on paper and pencil activity…

This commentary is designed for use with "Unified Modern Mathematics, Course I," Parts 1 and 2. Included in the commentary are statements of the specific purposes and goals of each section of every chapter, suggestions for teaching the concepts presented in each section, time estimates for each section, suggested instructional aids for presenting…

This commentary is designed for use with "Unified Modern Mathematics, Course II," Parts 1 and 2. As in the commentary for "Course I," statements of the specific purposes and goals of each section of every chapter are presented. Also included are suggestions for teaching the concepts presented in each section, time estimates for each section,…

This commentary is to be used with "Unified Modern Mathematics, Course III." Statements of specific purposes and goals of each section of every chapter of Course III are included in the "Commentary." Also included are suggestions for teaching concepts presented in each section; time estimates for each section; suggested instructional aids for…

The first part of Course III focuses on matrix algebra, graphs and functions, and combinatorics. Topics studied include: matrices and transformations, the solution of systems of linear equations, matrix multiplication, matrix inversion and a field of 2 x 2 matrices. The section on graphs and functions considers regions of the plane and…

This booklet is a sample activity from an individualized instruction unit in mathematics. Agreement between the performance specified in the units' objectives, the performance taught in the instruction activity, and performance required on the posttest was a key criterion during the development of this material. The student is told what he is…

The author describes a way of teaching a one-year geometry course which includes plane geometry, solid geometry, coordinate methods of proof, and vector methods of proof. His method is based upon encouraging students to use the properties of geometric figures that they already accept without formal proof. He employs paper folding extensively to…

In this paper, the point of view is taken that matters of logic which are of principal concern in mathematics are those which deal with the validity of inferences rather than with the truth-values of the sentences being dealt with. Consequently, the author presents and exemplifies some of the most basic inference schemes. He states that knowledge…

The purpose of this project was the development of a program that would provide for teaching important ideas of general mathematics in a spiral development, that is, a great variety of topics should be included at each level, with each higher level including more advanced stages of the development of each topic. Topics to be considered are…

This document is a progress report on the implementation of the recommendations of the Commission on Mathematics regarding the teaching of mathematics in secondary schools. Data were obtained from a survey of about 38,000 students who represented more than 7,500 secondary schools in the United States and who took College Board Achievement tests…

This annotated bibliography suggests to teachers and librarians books that may serve to enrich the instructional program by providing sources of information and recreational reading. Sections are provided for primary, intermediate, and junior high school students. Most of the books suggested for primary children are those from the general…

This document is a reprint of the geometry section from the 1954 syllabus Mathematics 10-11-12, An Integrated Sequence for the Senior High School Grades. The text outlines a tenth year geometry course integrated with arithmetic, algebra, and trigonometry, which progresses from an informal to a formal level. The topics suggested include definition,…

This study attempts to determine if varying the amount of content information presented to students has an effect on student achievement. The amount of information was controlled by the notion of concept moves. Also investigated was the effect on student achievement due to different levels of teacher-pupil verbal interaction. Instructional…