Abstract
This chapter examines students’ mathematical communication abilities and explores their performances in mathematics communication. In the study, a stratified sampling method was adopted to select 1192 eighth-grade students as a sample. Four tasks, which included seven items of mathematical communication, were developed and provided to students to solve them. After data analysis, the study found that eighth-grade students in China performed well in the mathematical communication tasks at level 1 and level 2. That is, students can understand the meaning of complicated mathematical texts, can express complicated mathematical understandings and can explain other people’s (correct or wrong) mathematical thoughts, but there is a lack in reflective thinking and obstacles in evaluating and correcting others’ opinions. The study showed that there is a gender difference in solving strategies of mathematical communication tasks. The boys tended to use concise and clear mathematical language, while the girls were good at using verbal expressions and mathematical symbols to express their own opinions.
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References
Cai, J., Jakabcsin, M. S., & Lane, S. (1996). Assessing students’ mathematical communication. School Science and Mathematics, 96(5), 242–243.
Cockcroft, W. H. (1982). Mathematics counts. London: Her Majesty’s Stationery Office.
Deng, Q., & Xia, X. (2019). The in-depth thinking of “teaching expression” from the perspective of mathematical thinking. Journal of Mathematics Education, 28(5), 47–50. (in Chinese)
Herheim, R. (2015). Managing differences by focusing on communication qualities: Pupils learning mathematics in pairs at a computer. Journal of Mathematical Behavior, 38(2015), 101–116.
Hu, D., & Zhao, H. (2007). Initial exploration of assessment on mathematical communication abilities based on new curriculum reform. Mathematics Teaching for Middle Schools, 10, 18–20. (in Chinese)
Kultusministerkonferenz. (2004). Bildungstandards im Fach Mathematik fuer den Mittleren Schulabschluss. Munich, Germany: Wolters Kluwer.
Liu, R. (2002). The enlightenment of problem-based learning on teaching reform. Education Research, 2, 73–77. (in Chinese)
Liu, D. (2008). Research on development and assessment of mathematical skills. Dissertation unpublished of East China Normal University. (in Chinese)
Liu, Y., & Sha, S. (2012). Gender differences in mathematical achievements. Progress in Psychological Science, 20(12), 1980–1981. (in Chinese)
National Council of Teachers of Mathematics. (1989). Curriculum and evaluation standards for school mathematics. Reston, VA: NCTM.
Organisation for Economic Co-operation and Development. (2009). PISA 2009 assessment framework: Key competencies in reading, mathematics and science. Washington: Organization for Economic Cooperation & Development.
Qiao, L., & Gao, W. (2005). Integration of information with mathematics teaching from perspective of function of mathematics problem solving. Educational Sciences, 21(6), 23–26. (in Chinese)
Santos, L., & Semana, S. (2015). Developing mathematics written communication through expository writing supported by assessment strategies. Educational Studies in Mathematics, 88, 65–87.
Shepard, L. (2000). The role of assessment in a learning culture. Educational Researcher, 29(7), 8.
Spelke, E. S. (2005). Sex differences in intrinsic aptitude for mathematics and science? A critical review. American Psychologist, 60(9), 950–958.
Su, H. (2003). Status of the mathematical communication and its analysis in junior high school. Journal of Mathematics Education, 12(3), 91–94. (in Chinese)
Wang, L., & Tian, H. (2007). The interest and process of international students’ reading ability evaluation: Interpretation of PISA 2006 reading ability evaluation framework. Comparative Education Research, 8, 71–72. (in Chinese)
Xu, B. (2006). Prospects of mathematics education. Shanghai: East China Normal University Press. (in Chinese)
Xu, M. (2012). Exploration of instructional design based on mathematical communication. Fujian Middle School Mathematics Teaching, 8, 28–30. (in Chinese)
Zha, Y. (2001). Constructing “communication - interaction” teaching model. Curriculum, Teaching Material and Method, 4, 1–6. (in Chinese)
Zhang, L., Song, N., & Cai, J. (2019). Exploring mathematical communication in problem posing. Journal of Mathematics Education, 28(4), 37–41. (in Chinese)
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Chen, Y., Xu, B., He, X. (2021). Chinese Eighth Graders’ Competencies in Mathematical Communication. In: Xu, B., Zhu, Y., Lu, X. (eds) Beyond Shanghai and PISA. Research in Mathematics Education. Springer, Cham. https://doi.org/10.1007/978-3-030-68157-9_14
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DOI: https://doi.org/10.1007/978-3-030-68157-9_14
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