Discussed are students' understandings of the relationship between fraction and decimal interpretations of rational numbers, where both interpretations are represented symbolically. The methodology employed in this study, interviews, results, and a discussion of the implications of the results are presented. (CW)

Discussed are the background and implementation of a method of teaching fractions to primary children referred to as "The Visual Concept of Fractions." The advantages and criticisms of the use of this method are stressed. (CW)

This study determined if overall mathematics performance of male and female students was: (1) different within each of six content areas; (2) differentially affected by ability grouping within each of the six content areas; and (3) differentially affected by the combination of ability grouping and grade level within each of the six content areas.…

The conceptual difference between understanding and algorithmic performance is examined first. Then some dilemmas that flow from these distinctions are discussed. (MNS)

Considered is a conceptual analog of buggy algorithms and rule-based mathematical development. The investigations consider whether children's efforts to make conceptual sense of new mathematics instruction in terms of their available knowledge may sometimes lead them to make systematic errors. In particular, the possibility is explored that…

The purposes of the present study were to ascertain whether or not two particular formatting characteristics influenced seventh grade student performance on math tests. One research question focused on the effects of decimal positioning in multiple choice options for computational items. In a second question, labeling format was compared with…

The process of transition from a novice's state to that of an expert, in the domain of decimals, is described in terms of explicit, intermediate, and transitional rules which are consistent yet erroneous. Data from students in grades 6-9 are included. (MNS)

A study on the impact of misconceptions on preservice elementary teachers' processes in solving problems involving multiplication and division of decimals is described. Included are the purpose of the study, a description of the subjects, instruments, and interviews, the findings, and discussion. (KR)

Documented are major categories of errors that appear as children learn decimal fractions. Then the conceptual sources of these errors are established. Different curriculum sequences influence the probability that these classes of errors will appear. They can be used as diagnostic tools to detect children's understanding of mathematics topics.…

Investigated was how easily pupils aged 12 and 13 who were initially unaware of the invariance of an operation (with decimals) modeling a situation could be led to such awareness. Results from clinical interviews are reviewed and a protocol presented. It appeared difficult to induce conservation. (MNS)

The purpose of this study was to determine the effects of using calculators on the mathematical achievement and attitude of low-income sixth-grade students when they were taught problem solving. Thirty-five sixth-grade students in two intact classes were assigned to two treatment groups. The experimental group was taught problem solving using…