Results of a comparison of 73 Anglo American and 155 Chinese American (CA) fourth through sixth graders on an intelligence test and measures of the speed and consistency of retrieval of arithmetic facts from long-term memory are consistent with the hypothesis that accessing elementary arithmetic knowledge is more completely automatized in CA…

A program for teaching "number sense" is suggested based on experiences in teaching numeracy to Papua New Guinean adults. Number sense starts out with some sort of "feel" about the size of a number and extends upwards to include any such mental arithmetical skills as can reasonably be incorporated in an appropriate program.…

Six sequential Basic Skill Levels (levels A through F) of a self-paced, individualized mathematics program designed to improve the achievement of junior high school students are presented in this student workbook. Each level includes a pretest, seven to 10 lessons, quizzes (checkpoints) after each fourth lesson, a posttest, and a level review…

Five sequential Basic Skill Levels (levels J, K, L, M, and MA) of a self-paced, individualized mathematics program designed to improve the achievement of junior high school students are presented in this student workbook. Each level includes a pretest, four to six lessons, quizzes (checkpoints) after each fourth lesson, a posttest, and a level…

This is a project in an emerging line of research investigating children's informed knowledge of mathematics questions. The purpose of this study was to analyze the ability of students who had not received multiplication or division instruction to solve multiplication and division word problems. The study consisted of videotaped interviews with 89…

One of a series of pre-apprenticeship phase 1 training modules dealing with math skills, this self-paced student module covers the multiplication and division of common fractions and whole and mixed numbers. Included in the module are the following: cover sheet listing module title, goals, and performance indicators; introduction; study…

One of a series of pre-apprenticeship phase 1 training modules dealing with math skills, this self-paced student module covers compound numbers. Included in the module are the following: cover sheet listing module title, goals, and performance indicators; introduction; study guide/check list with directions for module completion; information…

This instructional manual consists of 11 competency-based units for a mathematics course for trade and industrial programs in Texas. Each instructional unit includes the following basic components: unit and specific objectives, notes to the instructor (outline of steps to follow in accomplishing specific objectives), information sheets,…

This issue of the newsletter focuses on the teaching of mathematics to mildly handicapped students. The feature article reviews the theory of generalization and its application to specific practices in teaching arithmetic. A set of six-step guidelines is offered for the teacher to follow in ensuring that generalization of arithmetic skills takes…

One of a series of pre-apprenticeship phase 1 training modules dealing with math skills, this self-paced student module covers decimals, addition, subtraction, multiplication, and division. Included in the module are the following: cover sheet listing module title, goals, and performance indicators; introduction; study guide/check list with…

This guide represents the final experimental version of a pilot project which was conducted in the United States between 1973 and 1976. The ideas and the manner of presentation are based on the works of Georges and Frederique Papy. They are recognized for having introduced colored arrow drawings ("papygrams") and models of our numeration…

Using four large existing databases on student performance in the elementary grades, this study involves a task-by-task, year-by-year cross-sectional analysis of six topics in computation. Information about what students eventually learn and when they learn it is provided by the data analysis; information about when skills are introduced and…

This study had the purpose of comparing the effects of two approaches in teaching mathematics to secondary special education students. The study attempted to answer the following questions: (1) Were there significant differences between group means of mathematics achievement test scores for students in a diagnostic-prescriptive mathematics program…

Background: Multiplication and division by fractions are among the most troublesome concepts in the elementary mathematics curriculum. Recent studies have shown that preservice elementary teachers in the United States do not have deep understandings of these concepts. Effective ways to improve preservice teachers' conceptual understanding of these…

Studied schemes involved in solving two-step arithmetic word problems in (n=1824) elementary schoolchildren in Israel. Compound schemes and combinations of operations were found to affect the difficulty level of the problems. Appendix includes two versions of the test instrument. (Contains 17 references.) (MKR)