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Xie, Shengying; Cai, Jinfa – ZDM: Mathematics Education, 2022
In this study we aimed to inquire into the impact of the use of early arithmetic strategies by a group of fifth-grade students, on their solving of equations involving two representations of unknowns. Pre- and post-tests consisting of equation-solving items involving two representations of unknowns (number sentences containing empty 'brackets', as…
Descriptors: Grade 5, Elementary School Students, Problem Solving, Teaching Methods
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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; Kenney, Patricia Ann – Mathematics Teaching in the Middle School, 2000
Presents some ideas about how teachers can foster mathematical communication by encouraging students to find multiple solutions to problems. Discusses three problems that help develop communication ability in mathematics. Views communication of multiple solutions as an instructional strategy to help students make sense of mathematics. (KHR)
Descriptors: Communication (Thought Transfer), Learning Strategies, Mathematics Education, Middle Schools
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Cai, Jinfa – Teaching Children Mathematics, 1998
Investigates different approaches of students from different cultures to problems and problem-solving strategies. Suggests ways to encourage students to use algebraic strategies. Provides some action research ideas for teachers to try in their classrooms. Contains 11 references. (ASK)
Descriptors: Abstract Reasoning, Action Research, Algebra, Cross Cultural Studies