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Cai, Jinfa; Ding, Meixia – Journal of Mathematics Teacher Education, 2017
Researchers have long debated the meaning of mathematical understanding and ways to achieve mathematical understanding. This study investigated experienced Chinese mathematics teachers' views about mathematical understanding. It was found that these mathematics teachers embrace the view that understanding is a web of connections, which is a result…
Descriptors: Foreign Countries, Mathematics Teachers, Mathematical Aptitude, Mathematics Achievement
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Cai, Jinfa; Jiang, Chunlian – International Journal of Science and Mathematics Education, 2017
This paper reports on 2 studies that examine how mathematical problem posing is integrated in Chinese and US elementary mathematics textbooks. Study 1 involved a historical analysis of the problem-posing (PP) tasks in 3 editions of the most widely used elementary mathematics textbook series published by People's Education Press in China over 3…
Descriptors: Elementary School Students, Mathematics Instruction, Teaching Methods, Content Analysis
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Silber, Steven; Cai, Jinfa – International Journal of Mathematical Education in Science and Technology, 2017
This exploratory study examined how pre-service teachers (PSTs) pose mathematical problems for free and structured mathematical problem-posing conditions. It was hypothesized that PSTs would pose more complex mathematical problems under structured posing conditions, with increasing levels of complexity, than PSTs would pose under free posing…
Descriptors: Preservice Teachers, Mathematics Education, Mathematics Instruction, Mathematical Concepts
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Wu, Yingkang; Hwang, Stephen; Cai, Jinfa – International Journal of Science and Mathematics Education, 2017
In this exploratory study, we developed a portrait of the challenges and strategic responses of secondary mathematics teacher educators (MTEs) in Chinese universities. The MTEs reported encountering more challenges when teaching pedagogical courses and supervising student teachers than when teaching college mathematics courses and teaching…
Descriptors: Mathematics Teachers, Foreign Countries, Secondary School Teachers, Teacher Education Programs
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Wang, Ning; Cai, Jinfa – Journal of Research in Education, 2018
This study identified some factors associated with teachers' knowledge and beliefs that are related to scoring mathematics constructed-response (CR) assessment tasks. Five groups of teachers (n = 274) who either had different teaching experiences or had different cultural beliefs about teaching and learning mathematics were selected to score 28…
Descriptors: Scoring, Statistical Analysis, Mathematics Instruction, Teaching Experience