Grade four students who studied 3, 5, 10 or 12 value systems of numeration were compared with similar students who studied only a decimal system. A test was designed to measure understanding of the decimal system, processing decimal numerals, and place-value systems in general. Data analysis using multivariate analysis of covariance is presented.…

The relationship between a cognitive style variable, field-dependence-independence, and instructional treatments that differed in two dimensions of discovery learning, level of guidance and level of abstraction, was investigated with 116 prospective elementary teachers. As predicted, field-independent students did better with minimum guidance,…

Presents a covariation approach to learning exponential and logarithmic functions based on a primitive multiplicative operation labeled splitting that is not repeated addition. Suggests that students need the opportunity to build a number system from splitting structures and their geometric forms. (30 references) (MKR)

Discusses the contributions in each chapter of the book, highlighting the textbook analyses for each arithmetic topic presented. (MDH)

A 3-year study was conducted to compare the effectiveness of laboratory and lecture strategies in a course for prospective elementary teachers on the structure of the number system. Results showed that neither strategy was superior to the other as judged by students' examination achievement, attitudes towards mathematics, student teaching…

Thirty-six Korean first graders were interviewed to study their ability solving addition problems with sums of 10, single-digit sums between 10 and 18, and subtraction problems with minuends between 10 and 18. Finger methods to show sums over 10 and the regular named-10 Korean number words supported their learning of 3 efficient recomposition…

Fourth grade children (n=20) were matched on a pretest and randomly assigned to either a wooden base-10 block or computerized microworld group. Instruction was designed to establish relationships between notation and meaning, extending whole number numeration to decimal numeration. Neither group changed whole-number notational methods nor had…

Annotated listing of research summaries, articles, and dissertations in mathematics education reported in 1993. Grade or age levels are indicated for each citation. Articles and dissertations are indexed by mathematics education topic. Includes a list of the journals searched. (427 citations) (MKR)