Interview and questionnaire responses of students in grades K-10 completing common and decimal fraction tasks suggested the existence of 2 sequential unistructural-multistructural-relational learning cycles within the concrete symbolic mode. (46 references) (MKR)

Elementary and middle school education majors in Australia (n=326) and the United States (n=378) were asked to arrange a list of decimals in order from smallest to largest. Only about half of these preservice teachers in each country were able to complete the task correctly. (MKR)

Low ability sixth graders (n=19) participated in a teaching experiment involving fraction concepts. Results showed students were able to acquire and use semantic processes and transfer these processes to novel tasks. Semantic processing was positively associated with performance. (MKR)

This paper describes student performance and beliefs regarding fractions resulting from a five-phase approach toward developing mathematical intuition via physical materials. Interviews with students using this approach and with students using a conventional textbook approach indicated significant differences in problem-solving abilities and…