- DOI: 10.1007/S11858-007-0042-3
- Corpus ID: 55145076
Problem solving in Chinese mathematics education: research and practice
- Jinfa Cai , Bikai Nie
- Published 6 July 2007
- Mathematics, Education
151 Citations
Contextual problem in mathematical problem solving: core ability in realistic mathematics education, can mathematical problem solving be taught preliminary answers from 30 years of research, the relationship between students’ problem posing and problem solving abilities and beliefs: a small-scale study with chinese elementary school children, international comparative research on mathematical problem solving: suggestions for new research directions, chinese upper elementary school mathematics teachers’ attitudes towards the place and value of problematic word problems in mathematics education, preservice mathematics teachers’ perceptions of mathematical problem solving and its teaching: a case from china, the investigation of elementary mathematics teacher candidates' problem solving skills according to various variables., mathematical problem posing: a case of elementary school teachers developing tasks and designing instructions in taiwan, an investigation on chinese teachers’ realistic problem posing and problem solving ability and beliefs.
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The Evolution of Mathematical Thinking in Chinese Mathematics Education
34 references, generalized and generative thinking in us and chinese students’ mathematical problem solving and problem posing, thinking mathematically by chinese learners: a cross-national comparative perspective’, how chinese learn mathematics : perspectives from insiders, official curriculum in mathematics in ancient china: how did candidates study for the examination, why do u.s. and chinese students think differently in mathematical problem solving impact of early algebra learning and teachers' beliefs, solution representations and pedagogical representations in chinese and u.s. classrooms, the mathematics classroom in beijing, hong kong and london, mathematical thinking involved in u.s. and chinese students' solving of process-constrained and process-open problems, u.s. and chinese teachers' constructing, knowing, and evaluating representations to teach mathematics, mathematics education in different cultural traditions-a comparative study of east asia and the west, related papers.
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Problem solving in Chinese mathematics education: research and practice
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Characteristics of Teaching Mathematical Problem Solving in China
Analysis of a Lesson from the Perspective of Variation
Cite this chapter
- Aihui Peng 5 ,
- Jing Li 6 ,
- Bikai Nie 7 &
- Yanjie Li 8
Part of the book series: Mathematics Teaching and Learning ((MTAL))
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Research over the past two decades has alluded that there are national patterns of mathematics teaching (Stigler & Hiebert, 1999). For example, Tweed and Lehman (2002) pointed out that there are distinctive features between Eastern and Western classrooms. Researchers have also found that there is evidence that teaching methods have evolved differently in particular countries.
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Matches or Discrepancies
Cai, J., & Nie, B. (2007). Problem solving in Chinese mathematics education: Research and practice. ZDM Mathematics Education , 39 , 459–475.
Article Google Scholar
Clarke, D. J. (2006). Using international comparative research to contest prevalent positional dichotomies. ZDM Mathematics Education , 38 , 376–387.
Givvin, K. B., Hiebert, J., Jacobs, J. K., Worth, H. H., & Gallimore, K. (2005). Are there national patterns of teaching? Evidence from the TIMSS 1999 Video Study. Comparative Education Review , 49 (3), 311–343.
Gu, L. (1994). Theory of teaching experiment: The methodology and teaching principle of Qinpu . Beijing, China: Educational Science Press.
Google Scholar
Gu, L., Huang, R., & Marton, F. (2004). Teaching with variation: A Chinese way of promoting effective mathematics learning. In L. Fan, N. Wong, J. Cai, & S. Li (Eds.), How Chinese learn mathematics: Perspectives from insiders (pp. 309–347). Mahwah, NJ: World Scientific.
Chapter Google Scholar
Huang, R., & Leung, F. K. S. (2004). Cracking the paradox of the Chinese learners—Looking into the mathematics classrooms in Hong Kong and Shanghai. In L. Fan, N. Wong, J. Cai, & S. Li (Eds.), How Chinese learn mathematics: Perspectives from insiders (pp. 348–381). Mahwah, NJ: World Scientific.
Lai, M., & Murray, S. (2012, April). Teaching with procedural variation: A Chinese way of promoting deep understanding of mathematics. International Journal for Mathematical Teaching and Learning , 319–510.
Lesh, R., & Zawojewski, J. (2007). Problem solving and modeling. In F. K. Lester, Jr. (Ed.), Second handbook of research on mathematics teaching and learning (pp. 763–804). Charlotte, NC: Information Age Publishing.
Leung, F. K. S. (2005). Some characteristics of East Asian mathematics classrooms based on data from the TIMSS 1999 Video Study. Educational Studies in Mathematics , 60 , 199–215.
Li, J., Peng, A., & Song, N. (2011). Teaching algebraic equations with variation in Chinese classroom. In J. Cai & E. Knuth (Eds.), Early algebraization: A global dialogue from multiple perspectives (pp. 529–556). New York, NY: Springer.
Marton, F., & Pang, M. (2006). On some necessary conditions of learning. The Journal of the Learning Sciences , 15 , 193–220
Marton, F., Runesson, U., & Tsui, A. (2004). The space for learning. In F. Marton & A. Tsui (Eds.), Classroom discourse and the space for learning (pp. 3–40). Mahwah, NJ: Lawrence Erlbaum Associates Inc.
Mok, I. A. C., Cai, J., & Fung, A. F. (2008). Missing learning opportunities in classroom instruction: Evidence from an analysis of a well-structured lesson on comparing fractions. The Mathematics Educator , 11 , 111–126.
OECD. (2010). PISA 2009 results: Executive summary Retrieved from http://www.oecd.org/pisa/pisaproducts/46619703.pdf
OECD. (2013). PISA 2012 results: What students know and can do – Student performance in reading, mathematics and science (Vol. I). Retrieved from https://www.oecd.org/pisa/keyfindings/pisa-2012-results-volume-i.htm
Park, K. (2006). Mathematics lessons in Korea: Teaching with systematic variation. Tsukuba Journal of Educational Study in Mathematics , 25 , 151–167.
Peng, A. (2009). Comparison of mathematics education in China and Sweden . Presentation in the Umeå and Åbo Annual Seminar in Mathematics Education, Umeå, Sweden.
Siu, M. K. (2004). Official curriculum in mathematics in ancient China: How did candidates study for the examination? In L. Fan, N. –Y. Wong, J. Cai, & S. Li (Eds.), How Chinese learn mathematics: Perspectives from insiders (pp. 157–188). Mahwah, NJ: World Scientific.
Stanic, G. M. A., & Kilpatrick, J. (1988). Historical perspectives on problem solving in mathematics curriculum. In R. I. Charles & E. A. Silver (Eds.), Research agenda for mathematics education: The teaching and assessing of mathematical problem solving (pp. 1–22). Reston, VA: National Council of Teachers of Mathematics.
Stigler, J. W., & Hiebert, J. (1999). The teaching gap: Best ideas from the world’s teachers for improving in the classroom . New York, NY: The Free Press.
Sun, X. (2013, February 6–10). The structures, goals and pedagogies of “variation problems” in the topic of addition and subtraction of 0–9 in Chinese textbooks and reference books . Paper presented at Eighth Congress of European Research in Mathematics Education, Analya, Turkey.
Tweed, R. G., & Lehman, D. R. (2002). Learning considered within a cultural context: Confucian and Socratic approaches. American Psychologist , 57 (2), 89–99.
Watson, A., & Mason, J. (2006). Seeing an exercise as a single mathematical object: Using variation to structure sense-making. Mathematical Thinking and Learning , 8 (2), 91–111.
Wong, N. Y., Lam, C. C., Sun, X., & Chan, A. M. Y. (2009). From “exploring the middle zone” to “constructing a bridge”: Experimenting the spiral bianshi Mathematics curriculum. International Journal of Science and Mathematics Education , 7 , 363–382.
Wong, Y. (2014). Teaching and learning mathematics in Chinese culture. In P. Andrews & T. Rowland (Eds.), MasterClass in mathematics education: International perspectives on teaching and learning (pp. 165–173). London: Bloomsbury Publishing.
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Peng, A., Li, J., Nie, B., Li, Y. (2017). Characteristics of Teaching Mathematical Problem Solving in China. In: Huang, R., Li, Y. (eds) Teaching and Learning Mathematics through Variation. Mathematics Teaching and Learning. SensePublishers, Rotterdam. https://doi.org/10.1007/978-94-6300-782-5_7
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- Laura Amico
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Teams today aren’t just asked to execute tasks: They’re called upon to solve problems. You’d think that many brains working together would mean better solutions, but the reality is that too often problem-solving teams fall victim to inefficiency, conflict, and cautious conclusions. The two charts below will help your team think about how to collaborate better and come up with the best solutions for the thorniest challenges.
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In September 2016, the Core Literacy Research Group in China released a report on developing Chinese students' core literacy, and 'problem-solving competency' was put forward as one of the fundamental literacy concerns (Core Literacy Research Group, 2016).In the field of mathematics, China's Mathematics Curriculum Standards for Compulsory Education (2011 version) explicitly included ...
This paper is an attempt to paint a picture of problem solving in Chinese mathematics education, where problem solving has been viewed both as an instructional goal and as an instructional approach.
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This paper is an attempt to paint a picture of problem solving in Chinese mathematics education, where problem solving has been viewed both as an instructional goal and as an instructional approach. In discussing problem-solving research from four perspectives, it is found that the research in China has been much more content and experience-based than cognitive and empirical-based. We also ...
To investigate how mathematics textbooks represent problem-solving procedures in China, Singapore, and the United States, we selected nine mathematics textbooks at the lower ... procedures through which problem solvers approach a problem (e.g., Bransford and Stein 1984; Dewey 1933; Johnson, as cited in Lester 1978; Krutetskii 1976; P?lya 1971 ...
This paper is an attempt to paint a picture of problem solving in Chinese mathematics education, where problem solving has been viewed both as an instructional goal and as an instructional approach. In discussing problem-solving research from four perspectives, it is found that the research in China has been much more content and experience-based than cognitive and empirical-based.
This study examined how selected school mathematics textbooks in China, Singapore, and USA at the lower secondary grade level represent problem-solving procedures. The analysis of problem-solving procedures was carried out in two layers - general strategies, which adopted Pólya's four-stage problem-solving model, and specific strategies, which consisted of 17 different problem-solving ...
ABSTRACT. As a judicial system, the Chinese problem-solving courts are more deeply rooted in traditional judicial approaches than in therapeutic jurisprudence that fueled the movement in the West. Nevertheless, they share many similarities with problem-solving courts developed elsewhere in the world. To provide a better understanding of the ...
Characteristics of Teaching Mathematical Problem Solving in China. Analysis of a Lesson from the Perspective of Variation. Chapter; pp 111-125; Cite this chapter; Download book PDF. ... R. G., & Lehman, D. R. (2002). Learning considered within a cultural context: Confucian and Socratic approaches. American Psychologist, 57(2), 89-99 ...
In WSR approach, renli which relate to inter-subjective human relations is one of the key elements of the approach. 4.3. Problem Solving Process 1034 Xing Pan et al. / Procedia Computer Science 16 ( 2013 ) 1027 â€" 1035 With both hard systems thinking, and soft systems thinking, it is necessary to build various models, hard model and soft ...
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The focus of teachers' sharing teaching experience on problem solving is to develop students' specific problem-solving strategies as well as to develop general problem-solving heuristics. Currently, there are at least 30 national and regional mathematics education journals in China.
a presupposed problem - the lack of WCUs in China. This problem-solving approach reflects the general policy thinking in WCU research. It is believed that there is a formula for a world-class university if the right 'ingredients' (Crew 2019) are in place or a roadmap (Tayeb, Zahed, and Ritzen 2016) is well executed in acquiring the ...
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How to Solve Problems. To bring the best ideas forward, teams must build psychological safety. Teams today aren't just asked to execute tasks: They're called upon to solve problems. You'd ...