Archives
Current issue
About
About us
Aims and Scope
Abstracting and Indexing
Editorial Office
Open Access Policy
Publication Ethics
Journal History
Publisher
Follow us: Twitter
Contact
For Authors
Editorial Policy
Peer Review Policy
Manuscript Preparation Guidelines
Copyright & Licencing
Publication Fees
Fee Waiver Policy for Doctoral Students
EJMSTE Language Editing Service
More
Statistics
Special Issues
Special Issue Announcements
Published Special Issues
RESEARCH PAPER
Problem Posing and Its Relationship with Teaching Experience of Elementary School Mathematics Teachers from Ethnic Minority Area in Southwest China
1
Southwest University, CHINA
2
University of West Georgia, USA
3
University of Delaware, USA
Publication date: 2022-01-17
EURASIA J. Math., Sci Tech. Ed 2022;18(2):em2076
KEYWORDS
mathematical problem posingelementary schoolmathematics teacher developmentteaching experienceethnic minoritymathematical representation
ABSTRACT
This study examined characteristics of problem posing and its relationship with the teaching
experience of elementary school mathematics teachers from ethnic minority areas in the
Southwest of China. Eighty-one (N = 81) elementary school mathematics teachers responded to
a task-based questionnaire and posed mathematical problems based on given problem situations.
Characteristics of their mathematical problem posing were observed through the total numbers,
appropriateness, difficultly, and flexibility levels of the problems posed by the teachers. Results
show that elementary school mathematics teachers were capable of posing a considerable
number of appropriate mathematical problems. Significant differences were found in the flexibility
of the posed problems among the teachers with different years of teaching experience. This
finding suggests that teachers’ capability in mathematical problem posing may not necessarily
grow along with teaching experience. Limitations of the study and implications in developing
teachers’ mathematical problem posing are discussed.
REFERENCES (46)
1.
Balka, D. (1974). Creative ability in mathematics. The Arithmetic Teacher, 21(7), 633-636. http://www.jstor.org/stable/41....
2.
Baumanns, L., & Rott, B. (2020). Rethinking problem-posing situations: A review. Investigations in Mathematics Learning. https://doi.org/10.1080/194775....
3.
Baumanns, L., & Rott, B. (2021): Developing a framework for characterising problem-posing activities: A review. Research in Mathematics Education. https://doi.org/10.1080/147948....
4.
Brown, S. (2001). Reconstructing school mathematics: Problems with problems and the real world. Peter Lang.
5.
Cai, J., & Hwang, S. (2002). Generalized and generative thinking in the US and Chinese students’ mathematical problem solving and problem posing. The Journal of Mathematical Behavior, 21(4), 401-421. https://doi.org/10.1016/S0732-....
6.
Cai, J., & Hwang, S. (2020). Learning to teach through mathematical problem posing: Theoretical considerations, methodology, and directions for future research. International Journal of Educational Research, 102, 101391. https://doi.org/10.1016/j.ijer....
7.
Cai, J., & Hwang, S. (2021). Teachers as redesigners of curriculum to teach mathematics through problem posing: Conceptualization and initial findings of a problem-posing project. ZDM Mathematics Education, 53, 1403-1416. https://doi.org/10.1007/s11858....
8.
Cai, J., & Leikin, R. (2020). Affect in mathematical problem posing: Conceptualization, advances, and future directions for research. Educational Studies in Mathematics, 105(3), 287-301. https://doi.org/10.1007/s10649....
9.
Cai, J., & Mamlok-Naaman, R. (2020). Posing researchable questions in mathematics and science education: Purposefully questioning the questions for investigation. International Journal of Science and Mathematics Education, 18, 1-7. https://doi.org/10.1007/s10763....
10.
Cai, J., Chen, T., Li, X., Xu, R., Zhang S., Hu, Y., Zhang, L., & Song, N. (2020). Exploring the impact of a problem-posing workshop on elementary school mathematics teachers’ problem posing and lesson design. International Journal of Educational Research, 102, 101404. https://doi.org/10.1016/j.ijer....
11.
Cañadas, M. C., Molina, M., & Figueiras, A. R. (2018). Meanings given to algebraic symbolism in problem-posing. Educational Studies in Mathematics, 98, 19-37. https://doi.org/10.1007/s10649....
12.
Crespo, S. (2003). Learning to pose mathematical problems: Exploring changes in preservice teachers’ practices. Educational Studies in Mathematics, 52, 243-270. https://doi.org/10.1023/A:1024....
13.
De Corte, E., & Verschaffel, L. (1996). An empirical test of the impact of primitive intuitive models of operations on solving word problems with a multiplicative structure. Learning and Instruction, 6, 219-243. https://doi.org/10.1016/0959-4....
15.
English, L. D. (2020). Teaching and learning through mathematical problem posing: Commentary. International Journal of Educational Research, 102, 101451. https://doi.org/10.1016/j.ijer....
16.
Goldin, G. A. (1998). Representational systems, learning, and problem solving in mathematics. Journal of Mathematical Behavior, 17(2), 137-165. https://doi.org/10.1016/S0364-....
17.
Graham, B. (1988). Mathematical education and Aboriginal children. Educational Studies in Mathematics, 19, 119-135. https://doi.org/10.1007/BF0075....
18.
Guo, M., Leung, F. K. S., & Hu, X. (2020). Affective determinants of mathematical problem posing: the case of Chinese Miao students. Educational Studies in Mathematics, 105, 367-387. https://doi.org/10.1007/s10649....
19.
Klein, S., & Leikin, R. (2020). Opening mathematical problems for posing open mathematical tasks: what do teachers do and feel?. Educational Studies in Mathematics, 105, 349-365. https://doi.org/10.1007/s10649....
20.
Klinshtern, M., Koichu, B., & Berman, A. (2015). Problem posing: From research to effective practice. In F. M. Singer, N. Ellerton, & J. Cai (Eds.), What do high school teachers mean by saying “I pose my own problems”? (pp. 449-467). Lawrence Erlbaum Associates.
21.
Leavy, A. M., & Hourigan, M. (2020). Posing mathematically worthwhile problems: Developing the problem-posing skills of prospective teachers. Journal of Mathematics Teacher Education, 23(4), 341-361. https://doi.org/10.1007/s10857....
22.
Leavy, A., & Hourigan, M. (2021). Balancing competing demands: Enhancing the mathematical problem posing skills of prospective teachers through a mathematical letter-writing initiative. Journal of Mathematics Teacher Education. https://doi.org/10.1007/s10857....
23.
Lee, S. Y. (2020). Research status of mathematical problem posing in mathematics education journals. International Journal of Science and Mathematics Education, 19, 1677-1693. https://doi.org/10.1007/s10763....
24.
Li, X., Song, N., Chen, T., & Cai, J. (2019). The performance of elementary mathematics teachers’ problem posing. Journal of Mathematics Education, 28(2), 5-10. (In Chinese).
25.
Li, X., Song, N., Hwang, S., & Cai, J. (2020). Learning to teach mathematics through problem posing: Teachers’ beliefs and performance on problem posing. Educational Studies in Mathematics, 105(3), 325-347. https://doi.org/10.1007/s10649....
26.
Liljedahl, P., & Cai, J. (2021). Empirical research on problem solving and problem posing: a look at the state of the art. ZDM Mathematics Education, 53, 723-735 https://doi.org/10.1007/s11858....
28.
Nasir, N. S., Hand, V., & Taylor, E. V. (2008). Culture and Mathematics in School: Boundaries between “cultural” and “domain” knowledge in the mathematics classroom and beyond. Review of Research in Education, 32, 187-240. https://doi.org/10.3102/009173....
29.
Nicolaou, A. A., & Xistouri, X. (2011). Field dependence/independence cognitive style and problem posing: An investigation with sixth grade students. Educational Psychology, 31(5), 611-627. https://doi.org/10.1080/014434....
30.
Ogbu, J. (1995). Understanding cultural diversity and learning. In A. B., James, & C. M. Banks (Eds.), Handbook of research on Multicultural Education. Macmillan.
31.
Peng, A. (2021). A framework for examining the quality of teaching for mathematical understanding in ethnic minority culture context [Paper presentation]. 14th International Congress of Mathematics Education, Shanghai, China, July 11-19.
32.
Peng, A., & Song, N. (2014). The status quo development of mathematics education for ethnic minorities in China. Studies in Ethnicity and Nationalism, 14(1), 171-187. https://doi.org/10.1111/sena.1....
33.
Peng, A., Cao, L., & Yu, B. (2020). Reciprocal Learning in Mathematical problem posing and Problem Solving: An Interactive Study between Canadian and Chinese Elementary School Students. EURASIA Journal of Mathematics, Science and Technology Education, 16(12), em1913. https://doi.org/10.29333/ejmst....
34.
Pil, F., & Leana, C. (2009) Applying organization research to public school reform. Academy of Management Journal, 52, 1101-1124. https://doi.org/10.5465/amj.20....
35.
Popovic, G., & Lederman, J. S. (2015). Implications of informal education experiences for mathematics teachers’ ability to make connections beyond the formal classroom. School Science and Mathematics, 115(3), 129-140. https://doi.org/10.1111/ssm.12....
36.
Schmitt, N. (2013). The effects of teaching experience on high school education: A statistical model on factors of educational achievement in math and science. American Journal of Agricultural Economics, 95(2), 531-535. https://doi.org/10.1093/ajae/a....
37.
Schoenfeld, A. (1989). Explorations of students’ mathematical beliefs and behavior. Journal for Research in Mathematics Education, 20, 338-355. https://doi.org/10.2307/749440.
38.
Silver, E. A. (1994). On mathematical problem posing. For the Learning of Mathematics, 14(1), 19-28. https://doi.org/10.5951/TCM.12....
39.
Silver, E. A., & Cai, J. (1996). An analysis of arithmetic problem posing by middle school students. Journal for Research in Mathematics Education, 27(5), 521-539. https://doi.org/10.2307/749846.
40.
Silver, E. A., & Cai, J. (2005). Assessing students’ mathematical problem posing. Teaching Children Mathematics, 12(3), 129-135. https://doi.org/10.5951/TCM.12....
41.
Tichá, M., & Hošpesová, A. (2013). Developing teachers’ subject didactic competence through problem posing. Educational Studies in Mathematics, 83, 133-143. https://doi.org/10.1007/s10649....
42.
Toluk-Uςar, Z. (2009). Developing pre-service teachers’ understanding of fractions through problem posing. Teaching and Teacher Education, 25, 166-175. https://doi.org/10.1016/j.tate....
43.
Van Harpen, X. Y., & Sriraman, B. (2013). Creativity and mathematical problem posing: An analysis of high school students’ mathematical problem posing in China and the USA. Educational Studies in Mathematics, 82(2), 201-221. https://doi.org/10.1007/s10649....
44.
Venkat, H., & Askew, M. (2018). Mediating primary mathematics: Theory, concepts, and a framework for studying practice. Educational Studies in Mathematics, 97, 71-92. https://doi.org/10.1007/s10649....
45.
Xie, S., & Cai, J. (2020). Teachers’ beliefs about mathematics, learning, teaching, students, and teachers: Perspectives from Chinese high school in-service mathematics teachers. International Journal of Science and Mathematics Education, 19, 747-769. https://doi.org/10.1007/s10763....
46.
Zhou, C., Mu, L., Zhao, J., & Peng, A. (2018). A case study of primary school mathematics teaching based on ethnic minority mathematical culture background. Journal of Mathematics Education, 27(3), 85-92. (In Chinese).
Share
RELATED ARTICLE
| eISSN: | 1305-8223 |
| ISSN: | 1305-8215 |
We process personal data collected when visiting the website. The function of obtaining information about users and their behavior is carried out by voluntarily entered information in forms and saving cookies in end devices. Data, including cookies, are used to provide services, improve the user experience and to analyze the traffic in accordance with the Privacy policy. Data are also collected and processed by Google Analytics tool (more).
You can change cookies settings in your browser. Restricted use of cookies in the browser configuration may affect some functionalities of the website.
You can change cookies settings in your browser. Restricted use of cookies in the browser configuration may affect some functionalities of the website.
