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Cai, Jinfa – School Science and Mathematics, 1998
Examines 250 sixth-grade students' understanding of arithmetic average by assessing their understanding of the computational algorithm. Results indicate that the majority of the students knew the "add-them-all-up-and-divide" averaging algorithm, but only half of the students were able to correctly apply the algorithm to solve a…
Descriptors: Algorithms, Arithmetic, Computation, Concept Formation
Cai, Jinfa; Moyer, John C.; Grochowski, Nancy J. – 1997
Two studies are reported that explore the effectiveness of instruction in promoting students' conceptual understanding of the average concept using a leveling model and an open-ended problem-solving approach. One teacher and her 46 sixth-grade students participated in the first study. One year later, the second study was conducted with the same…
Descriptors: Algorithms, College School Cooperation, Comprehension, Concept Formation