Kindergarten (n=30) and grade 1 (n=15) students of contrasting socioeconomic backgrounds were interviewed to assess their knowledge of number word sequences and spatial patterns and their ability to recognize numerals and use counting to establish numerosity of visible and screened collections. Findings indicate greater variation in abilities…

Analyzed questionnaire responses of 152 prospective secondary mathematics teachers, 10 of whom were interviewed, to investigate their knowledge of the concept of function. Results indicated that many did not have a modern concept of function, a limitation that influenced their pedagogical approach. (Contains 45 references.) (MDH)

This study examined the hypothesis that prior experience with augmented-quotient problems would positively influence performance on remainder-only problems and quotient-only problems. Analysis of sixth through eighth grade students' (n=545) responses to test forms that systematically varied the order of appearance of these three division problems,…

The current period in mathematics education can be characterized as one of reform. Many feel that children in the United States are not learning enough appropriate mathematics; these critics are concerned with the specific areas of problem solving and children's conceptions of the nature and uses of mathematics. A pretest/posttest experimental…

The ideas of the nature, purpose, and scope of mathematics held by students is an issue of interest to the mathematics education community. Movement from a mathematics as discrete operations perspective to a mathematics as problem-solving perspective is a desired change in mathematics education reform. A pretest/posttest experimental design study…

Classroom boredom in the secondary mathematics classroom is a problem that can be addressed from knowledge of the intrinsic motivational variable of "interestingness." The lack of a theoretical model of interest is an obstacle in research that investigates this variable. This paper describes the three stages in the development of a model…