The introductory level curriculum guide for bilingual education for Serbocroatian-speaking children in the Chicago public schools is divided into three difficulty levels and is designed to facilitate acquisition of mathematical concepts by presenting them in the children's native language. At each level, the concepts covered include the meaning of…

This book presents activities promoting children's understanding of mathematical ideas while at the same time providing the practice children need to refine their skills in mathematics. Chapter topics include: (1) numbers; (2) number facts and operations; (3) problem solving; (4) calculators; (5) fractions; (6) graphing; (7) geometry; and (8)…

This survey reflects new developments in the mathematics curriculum as emphasized in the curriculum frameworks and state-adopted textbooks. The first section describes the procedure for the development of the survey and the rationale for the topics and types of questions included on the mathematics portion of the test. The second section describes…

This book was written as a tool to help teachers of prekindergarten to grade 3 make use of recent developments in the cognitive psychology of mathematical learning. Chapters included are: (1) "The Nature of Children's Mathematical Thinking"; (2) "Designing Effective Mathematics Instruction"; (3) "Oral Counting"; (4)…

This document suggests ways of using children's intuitive ideas about mathematics as a starting point for an elementary curriculum. Ways are discussed to capitalize on what children already know: to cultivate rather than discourage students' intuitive mathematical sense, and to help students make connections between what they know and what they…

This paper compares the old and new curricula of elementary mathematics and natural science in the Republic of China. This study, as the second phase of an evaluation period, tested a sample of the students while they were in the ninth grade and compared them to students who received the old curricula during their elementary studies. The data were…

These materials contain the test booklets and answer keys to the mathematics mastery program of the West Bloomfield Schools (Michigan). Two booklets, forms A and B, were developed for grade 7 and grade 8. The answer keys are on separate sheets. The mastery program is based on textbook and supplemental materials. (TW)

Preservice elementary teachers' use of examples in recognizing and disproving invalid deductive arguments related to topics in elementary school mathematics was examined. Two forms of the Classroom Logic Test were developed, one multiple choice and one free response. Subjects were asked to judge the correctness of arguments and, if incorrect,…

Mathematics education research from fourteen studies is abstracted and critiqued in this publication. Six cover aspects of instructional practice, four deal with points in learning theory, two with problem solving, and one each with calculators and sex differences. Research in mathematics education as reported in CIJE and RIE from October to…

This document is filled with suggestions for inexpensive teacher-made classroom aids that can be used for concept reinforcement with the total class, a small group, or individual students. The games and teaching aids provided, allow instructors to provide the motivational drill to develop speed and accuracy for basic computational skills. The…

The purpose of the two studies reported was to develop and validate clinical assessment instruments designed to identify both the progress of learners through a hierarchy of mathematics content and the mode of presentation through which learners can best handle the content. In Study 1, 73 second graders were given one of two forms of a 15-item…

This study examined a selected sample of fourth-grade students who had been previously identified as good or poor problem solvers. The pupils were compared on variables considered as "reference tests" for Verbal, Induction, Numerical, Word Fluency, Memory, Spatial Visualization, and Perceptual Speed abilities. The data were compiled to…

This study sought to determine the basis for young children's understanding of fundamental addition and subtraction processes, and to expose any limitations on such arithmetic reasoning. Thirty-six two-year-olds and 36 three-year-olds participated in six experiments which examined children's relational quantity judgments about pairs of arrays in…

This paper reports the formative evaluation of six curriculum units related to initial number sentence writing. These units were used for a coordinated study carried out by the Mathematics Work Group of the Wisconsin Research and Development Center for Individualized Schooling. The units were tried during the 1977-78 and 1978-79 school years at a…