The purpose of this study was to explore word problems as a subject matter in mathematics textbook curricula. The motivation for the study derived from the following evidence: (a) American students find some word problems are more difficult than others (Garcia, Jimenez, & Hess, 2006; Riley & Green, 1988; Stern, 2001), and (b) one of the…

Two sequences of activities were developed to provide instruction on the algorithms for addition and subtraction of two-digit numbers. In the integrated sequence (I) the mechanics of "carrying" and "borrowing" were treated as a single process "regrouping." In the sequential treatment (S) the addition algorithm was developed before the subtraction…

Two sequences of activities were developed to provide instruction on the algorithms for addition and subtraction of two-digit numbers. In the integrated sequence (I) the mechanics of "carrying" and "borrowing" were treated as a single process "regrouping." In the sequential treatment (S) the addition algorithm was developed before the subtraction…

A report of the effects of the Great Cultural Revolution in Communist China on mathematics education. The Cultural Revolution was launched officially in 1962 by the Central Committee of the Chinese Communist Party. Goals and results of efforts are presented. (RP)

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…

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,…

The aim of this report is to suggest aspects of mathematics education that should be incorporated into curricula rather than to outline specific courses of study. General recommendations are made regarding curriculum, instructional methods, and textbooks. The suggestion that graphs and relations to be used as a unifying theme is followed by…

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…

This paper summarizes the developmental activities in mathematics conducted at the first grade level. Two instructional units of "Developing Mathematical Processes" were taught. The instructional units are described through a description of the activities that were tried, an explanation of evaluation procedures, and a report of the results of each…

Uses of the historical approach to the teaching of mathematics throughout the last century are discussed. Examples from turn-of-the-century tests are provided, and the place of history in Mathematics teaching today is explored. (SD)

This study compared the relative effectiveness of the new University of Illinois Committee on School Mathematics (UICSM) "Stretchers and Shrinkers" and "Motion Geometry", mathematics materials with traditional mathematics materials in improving arithmetic ability of underachievers. Data on arithmetic computation, concepts, and…