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Fuson, Karen C.; Fuson, Adrienne M. – Journal for Research in Mathematics Education, 1992
Report provides new data concerning children's accuracy as measured by previous studies and clarifies progress of first graders during entire year on difficult single-digit addition and subtraction problems. Discussion focuses on advantages of an adding on interpretation of subtraction and the importance of emphasizing conceptual understanding…
Descriptors: Addition, Cognitive Development, Cognitive Style, Computation
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Wearne, Diana; Hiebert, James – Arithmetic Teacher, 1994
Compares the development of two students' understanding of addition and subtraction. One student's understanding is based on memorized rules and the other's on understanding the concept of place value. Discusses the effects of different goals for instruction and the importance of understanding place value. (MDH)
Descriptors: Addition, Algorithms, Cognitive Style, Elementary Education
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Carey, Deborah A.; Campbell, Patricia F., Ed. – Arithmetic Teacher, 1992
Relates research findings on the way primary-grade students communicate mathematical ideas through the use of symbols to a framework for students to investigate the part-whole relationship of quantity. Discusses children's problem-solving abilities, linking word problems and symbols, the importance of context for understanding symbols, and the…
Descriptors: Addition, Cognitive Development, Cognitive Processes, Cognitive Style