This programed mathematics textbook (Volume I) is for student use in vocational education courses. It was developed as part of a programed series covering 21 mathematical competencies which were identified by university researchers through task analysis of several occupational clusters. The development of a sequential content structure was also…

This programed mathematics textbook is for student use in vocational education courses. It was developed as part of a programed series covering 21 mathematical competencies which were identified by university researchers through task analysis of several occupational clusters. The development of a sequential content structure was also based on…

This programed mathematics textbook is for student use in vocational education courses. It was developed as part of a programed series covering 21 mathematical competencies which were identified by university researchers through task analysis of several occupational clusters. The development of a sequential content structure was also based on…

This paper reports on the answers indicated by research studies to nine questions concerning the teaching of multiplication and division. (1) Should multiplication facts be memorized? Answer: Yes, at an appropriate time. (2) How should multiplication be conceptualized? Answer: Normally addition of equal addends; sometimes arrays or…

A word problem is more difficult to solve when the minimum number of different operations to reach the correct solution is large, when it is of a different type than a problem preceding it, when the indexed complexity of its most complex sentence is great, when there are a large number of words in the problem, and when a conversion of units (as…

Reported is the construction of a primary mathematics curriculum on two kinds of data: the structure of mathematics itself, and the developmental realities of the child. Principles which have been assumed in this development are (1) since mathematics is abstract, the process of abstracting mathematics must be well prepared, (2) since mathematics…

This document details the procedures and results of a 1964-66 evaluation of volunteering middle-class suburban New York schools with primary classes nongraded in reading and arithmetic. The evaluation is more than a comparison of pupil progress in nongraded and graded classes; other variables are also correlated in the areas of school…

These materials were written with the aim of reflecting the thinking of The Cambridge Conference on School Mathematics (CCSM) regarding the goals and objectives for school mathematics. Presented are plans for teaching 15 inequality lessons for above average first grade students. The discovery approach is utilized by the teacher in order to involve…

Investigated was the effect of skill-level grouping on student achievement in mathematics in a Negro neighborhood elementary school. The investigation was conducted in the Clark County School District, Nevada, during the 1968-69 school year. The mathematics program in the control school was organized and taught in self-contained classrooms by the…

This collection contains 233 objectives and related evaluation items for mathematics--grades four to six. The following categories are included - (1) sets, (2) numbers, numerals, and numeration systems, (3) operations and their properties, (4) measurement, (5) geometry, (6) relations, functions and graphs, (7) probability and statistics, (8)…

One of the big problems in migrant education is the need to determine quickly the educational level of the student so that his learning progress can continue as he moves from one school to another. Normative-referenced tests provide little help for the teacher. The author describes a new type of test (the criterion-referenced test), soon to be…

The booklet presents the minimum material for which students are responsible on the Tenth Year Regents examination of the state of New York. The syllabus is an attempt to integrate plane geometry with arithmetic, algebra and numerical trigonometry brought about by: (1) greater use of fractions and percents in mensuration problems; (2) use of…

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…

This study investigated three factors associated with third grade children's ability to solve open sentences of the types N + a = b, a + N = b, a - N = b, and N - a = b, where a and b are given whole numbers and N is to be found. Two factors were: (1) the size of the numbers a and b; and (2) the context of the sentence, whether presented alone or…