Covariational reasoning has been the focus of many studies but only a few looked into this reasoning in the polar coordinate system. In fact, research on student's familiarity with polar coordinates and graphing in the polar coordinate system is scarce. This paper examines the challenges that students face when plotting polar curves using the…

The focus of this study is the relationship between students' performance in mental calculation and the strategies they use when solving three-digit mental addition problems. The sample comprises 78 4th grade students (40 boys and 38 girls). Their mean age was 10 years and 4 months. The main novelties of the current research include (1)…

Examined the effects of intervention in the instruction of 12 male seventh-grade students for the purpose of developing number sense. Results indicate that after instruction students were more likely to use strategies to solve number magnitude, mental computation, and computational estimation problems that reflected number sense. (Contains 50…

Fifth-grade students (n=101) were studied to determine the effect of instruction on (1) the development of computational estimation strategies; (2) types of estimation errors made; and (3) estimation skills. Results indicate students adopt the estimation strategies taught and that introducing mathematical concepts through estimation increases…

The "Thinking Mathematics" approach to teaching is guided by two ideas: (1) that learning requires knowledge upon which new problems and situations are interpreted and (2) that mathematics skills are applied in context. This paper reports research that examined whether teaching mathematics students in high school remedial classes can be…

While the emphasis and content of school mathematics differ little between Japan and America, by the time students reach junior high school, performance as measured by international studies differs greatly. This report provides a profile of the attitudes toward, strategies used, and performance on mental computation of Japanese students in grades…

Does conceptually oriented instruction jeopardize students' computational competence? If it does, then why are so many reform efforts continuing to emphasize the importance of teaching for conceptual understanding? If it does not, then why are the majority of teachers at all grade levels continuing to teach for computational competence without…