The role of a teacher is different from that in traditional mathematics instruction when the implementation of a lesson is based on students' ideas. The author's experience teaching the same lesson (of the latter format) to two different classes of pre-service teachers in an elementary mathematics methods course is described. Since whole-class…

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…

This research examines students' ability to integrate algebraic variables with arithmetic operations and symbols as a result of the type of instruction they received, and places their work on scales that illustrate its location on the continuum from arithmetic to algebraic reasoning. It presents data from pre- and post-instruction clinical…

The objective of this study was to determine ways of attaining a working competence in the arithmetic of the full real number system, and to explore means of removing some ineffective practice employed in instruction. A secondary objective was to determine the feasibility of developing infinite decimal arithmetic directly, without building on 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…

Included are two curriculum guides, Section D and Section E, which continue instruction of the three guides in SE 012 723. Counting (by ones, by twos, by threes, ..., by twelves) is extended to 144 in Section D and to 1000 in Section E. The creation and manipulation of more complex equations are taught, including the notion of substitution. The…

This is the first 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…

Proposed curriculum topics for elementary school mathematics have been arranged in topic form. Six areas are covered: numbers and numeration, sets, whole numbers, fractions, problem solving, and geometry and measurement. The first section briefly explains the six areas and also includes a short discussion of teaching strategies, number sentences,…

The article presents the outline of a curriculum that was used successfully to teach deaf elementary school children the concept of "borrowing" as it applies to arithmetic. (Author/DLS)

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 instructional bulletin was prepared to assist teachers in planning and presenting the sequence of mathematics topics to slow learners. The course is designed to fulfill the high school graduation requirement of one semester of mathematics in the ninth grade. This course combines simple presentations of topics from modern mathematics with new…

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…