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Peer reviewedCai, 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
Download full textCai, Jinfa; Moyer, John C. – 1995
This study used an open-ended problem-solving approach to teaching and assessing middle school students' understanding of the concept of arithmetic average. Three main results of this study show evidence of positive instructional impact on students' understanding of the concept of average: (1) the number of students who gave correct answers…
Descriptors: Cognitive Processes, Concept Formation, Grade 6, Grade 7
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
