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Jiang, Chunlian; Hwang, Stephen; Cai, Jinfa – Educational Studies in Mathematics, 2014
This study examined 361 Chinese and 345 Singaporean sixth-grade students' performance and problem-solving strategies for solving 14 problems about speed. By focusing on students from two distinct high-performing countries in East Asia, we provide a useful perspective on the differences that exist in the preparation and problem-solving strategies…
Descriptors: Foreign Countries, Grade 6, Problem Solving, Mathematics Instruction
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Cai, Jinfa; Moyer, John C.; Grochowski, Nancy J. – Research in Middle Level Education Quarterly, 1999
Assessed the effectiveness of instruction in promoting sixth-grade students' conceptual understanding of the concept of averages using a leveling model and an open-ended problem-solving approach. Found that students were more capable of using the leveling approach and applying formal averaging algorithm to solve problems than using the open-ended…
Descriptors: Grade 6, Mathematical Concepts, Mathematics Instruction, Middle Schools
Cai, 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