Promoting Critical Thinking in Multilingual Mathematics Classes through Questioning

Clemence Chikiwa; Marc Schäfer

doi:10.29333/ejmste/91832

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Clemence Chikiwa ¹ ^* , Marc Schäfer ²

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¹ Rhodes University, Professional Development Centre, Grahamstown, SOUTH AFRICA² Rhodes University Education Department, Grahamstown, SOUTH AFRICA^* Corresponding Author

Abstract

This study explores how teacher questioning was used to foster critical thinking in selected Grade 11 multilingual mathematics classes in the Eastern Cape Province. A mixed-method design was used to collect and analyse both qualitative and quantitative data through classroom observations and interviews of three purposively selected Grade 11 mathematics teachers during their teaching of trigonometry and analytical geometry. The study was guided by Bloom’s revised taxonomy. The study found that teachers in these multilingual classes used lower-order levels of questioning during teaching. Higher-order questions, which research has shown have the potential of promoting critical thinking, were infrequently used during teaching. The paper concludes that, while all the categories of Bloom’s taxonomy are important, the ones that are crucial in promoting critical and higher-order thinking required at Grade 11 were not adequately used. Suggestions for improving questioning in mathematics teaching are explored.

Keywords

code-switching
critical thinking
multilingual
questioning

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This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Article Type: Research Article

EURASIA J Math Sci Tech Ed, Volume 14, Issue 8, August 2018, Article No: em1562

https://doi.org/10.29333/ejmste/91832

Publication date: 01 Jun 2018

Article Views: 4773

Article Downloads: 3811

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References

Adler, J. (2001). Teaching mathematics in multilingual classrooms. Dortrecht: Kluwer Academic Publisher.
Alidou, H., & Brock-Utne, B. (2011). Teaching practices - teaching in a familiar language. In A. Ouane, & C. Glanz (Ed.), Optimising learning, education and publish in Africa: the language factor. A review and analysis of theory and practice in mother tongue and bilingual education in sub-Saharan Africa (pp. 159‒186). UIL/ADEA.
Anderson, L. W. (2002). Curricular alignment: A re-examination. Theory into Practice, 41(4), 255‒260. https://doi.org/10.1207/s15430421tip4104_9.
Anderson, L. W., & Krathwohl, D. R. (Eds.). (2001). A taxonomy for learning, teaching and assessing: A revision of Bloom’s Taxonomy of educational objectives: Complete edition. New York: Longman.
Baker, C. (1993). Foundations of bilingual education and bilingualism. Cleveland, Philadelphia: Multilingual Matters.
Baker, M. (2011). In other words. A coursebook on translation. 2nd Edition. London & New York: Routledge.
Carnoy, M., Chisholm, L., Addy, N., Arends, F., Baloyi, H., Irving, M., & Sorto, A. (2011). The process of learning in South Africa: The quality of Mathematics teaching in North West Province; Technical Report 11 June 2011. Pretoria: HSRC and Stanford University.
Chick, J. K. (1996). Safe-talk: Collusion in apartheid education. In H. Coleman (Ed.), Society and the Language Classroom (pp. 21‒39). Cambridge: Cambridge University Press.
Chikiwa, C., & Schäfer, M. (2016). Teacher code switching consistency and precision in a multilingual mathematics classroom. African Journal of Research in Mathematics, Science and Technology Education (AJRMSTE), 20(3), 244‒255. https://doi.org/10.1080/18117295.2016.1228823.
Choudhury, M., & Bose, A. (2011). An investigation of the role of language negotiations in a multilingual mathematics classroom. In. In M. Setati, T. Nkambule, & L. Goosen (Eds.), Proceedings of the ICMI Study 21 Conference: (pp. 28‒37). Sào Paulo, Brazil: ICMI.
Clasen, D. R., & Bonk, C. (1990). Teachers tackle thinking. Madison, WI: Madison.
Collier, C. (2011). Seven steps to separating difference from disability. Thousand Oaks, CA: Corwin. https://doi.org/10.4135/9781452219424.
Cummins, J. (2000). Language, power and pedgogy: Bilingual children in the crossfire. Clevedon: Multilingual Matters. https://doi.org/10.21832/9781853596773.
Denzin, N. K., & Lincoln, Y. S. (2000). The discipline and practice of qualitative research. In N. K. Denzin, & Y. S. Lincoln, Handbook of Qualitative Research (2nd ed.). London: Sage Publication.
Department of Basic Education, DBE. (2011). Curriculum and Assessment Policy Statement, CAPS, Grade 10-12. Mathematics.
Dori, Y. J., & Herscovitz, O. (1999). Question posing capability as an alternative evaluation method: Analysis of an environmental case study. Journal of Research in Science Teaching, 36(4), 411‒430. https://doi.org/10.1002/(SICI)1098-2736(199904)36:4<411::AID-TEA2>3.0.CO;2-E.
Duron, R., Limbach, B., & Waugh, W. (2006). Critical thinking framework for any discipline. International Journal of Teaching and Learning in Higher Education, 187(2), 160‒66.
Elder, L., & Paul, R. (1994). Critical thinking: Why we must transform our teaching. Journal of Developmental Education, 18(1), 34‒35.
Essien, A. (2013, June 02). Maths still best taught in English. Mail & Guardian.
Gumperz, J. J. (1982). Discourse strategies. London: Cambridge University Press. https://doi.org/10.1017/CBO9780511611834.
Huinker, D., & Freckmann, J. L. (2004, March). Focussing conversations to promote teacher thinking. Teaching Children Mathematics, 10(7), 352‒357.
Limbach, B., & Waugh, W. (2010). Developing higher level thinking. Journal of Instructional Pedagogies, 3, 1‒9.
Mafela, L. (2009). Code switching in Botswana history classrooms in the decade for sustainable development. Language matters, 40(1), 56‒79. https://doi.org/10.1080/10228190903055568.
Meaney, T., Fairhill, U., & Trinick, T. (2008, June). The role of language in ethnomathematics. The Journal of Mathematics and Culture, 3(1).
Meaney, T., Trinick, T., & Fairhill, U. (2012). Collaborating to meet language challenges in indigenous mathematics classrooms. London: Springer. https://doi.org/10.1007/978-94-007-1994-1.
Mercer, N. (1995). The guided construction of knowledge: Talk amongst teachers and learners. Clevedon: Multilingual Matters.
Owen-Smith, M. (2010). The language challenge in the classroom: A serious shift in thinking and action is needed. The Language Challenge, 31‒37. Retrieved Retrieved on 1 May 2018 from http://hsf.org.za/resource-centre/focus/focus-56-february-2010-on-learning-and-teaching/the-language-challenge-in-the-classroom-a-serious-shift-in-thinking-and-action-is-needed/download.
Paul, R. (2007, July). Critical thinking in every domain of knowledge and belief. The 27th Annual International Conference on Critical Thinking. July 23, 2007. Berkeley, CA: Center for Critical Thinking. Retrieved on 1 May 2018 from http://www.criticalthinking.org/pages/critical-thinking-in-every-domain-of-knowledge-and-belief/698.
Paul, R. W. (1990). CHAPTER 4: Critical thinking: What, why, and how. In A. J. Binker (Ed.), Critical thinking: What every person needs to survive in a rapidly changing world (pp. 45‒56). Rohnert Park. CA 94928: Center for Critical Thinking and Moral Critique: Sonoma State University.
Paul, R., & Elder, L. (2008). The miniature guide to critical thinking, concepts and tools. California: The Foundation for Critical Thinking Press. Retrieved on 1 May 2018 from https://www.criticalthinking.org/files/Concepts_Tools.pdf.
Pimm, D. (1987). Speaking mathematically: Communication in mathematics classrooms. London: Routledge.
Prediger, S., Clarkson, P., & Bose, A. (2012). A way forward for teaching in multilingual contexts: Purposefully relating multi lingual registers. 12th International Congress on Mathematical Education TSG 30: Mathematics education in a multilingual and multicultural environment (pp. 6213‒6222). Seoul, Korea: ICME-12.
Probyn, M. J. (2009). “Smuggling the vernacular into the classroom”: Conflicts and tensions in classroom code switching in township/rural schools in South Africa. International Journal of Bilingual Education and Bilingualism, 12, 123‒136. https://doi.org/10.1080/13670050802153137.
Probyn, M. J. (2015). Pedagogical translanguaging: Bridging discourses in South African science classrooms. Language and Education, 29(3), 218‒234. https://doi.org/10.1080/09500782.2014.994525.
Qashoa, S. H. (2013). Effects of teacher question types and syntactic structures on EFL classroom interaction. The International Journal of Social Sciences, 7(1), 52‒62.
Rose, S., & van Dulm, O. (2006). Functions of code switching in multilingual classrooms. A Journal for Language Learning, 1‒13.
SA Statistics. (2012). South African Statistics. Pretoria: Statistics South Africa.
Schneider, V. (2001). Stepping stones: A path to critical thinking, volume 1. Pittsford, NY: Castle Rock.
Setati, M. (2005). Mathematics education and language: Policy, research and practice in multilingual South Africa. In R. Vithal, J. Adler, & C. Keitel, Math Education Research in South Africa: Perspectives, practices and possibilities (pp. 73‒109). Pretoria: HSRC.
Setati, M. (2008). Access to mathematics vs access to the language of power: The struggle in multilingual classrooms. South African Journal of Education, 28, 103‒116.
Setati, M., & Adler, J. (2001). Between Languages and discourses: language practices in primary multilingual mathematics classrooms in South Africa. Educational Studies in Mathematics, 43(3), 241‒269.
Setati, M., Adler, J., Reed, Y., & Bapoo, A. (2002). Incomplete Journeys: Code-switching and other language practices in mathematics, science and English language classrooms in South Africa. (2, Trans.) Language and Education, 16(2), 128–149. https://doi.org/10.1080/09500780208666824.
Sillivan, P., & Lilburn, P. (2002). Good questions for math teaching: Why ask them and what to ask. Sausalito, CA: Grades K-6 Math Solutions.
Slavit, D., & Ernst-Slavit, G. (2007). Teaching mathematics and English to English language learners simultaneously. Middle School Journal, 39(2), 4‒11. https://doi.org/10.1080/00940771.2007.11461618.
South African Language in Education Policy (LiEP). (1997). South African Language in Education Policy of 1997. Department of Basic Education.
Statistics South Africa. (2011). Census 2011: Census in brief. Pretoria: Statistics South Africa.
Then, D. C., & Ting, S. H. (2011). Code-switching in English and science classrooms: more than translation. International Journal of Multilingualism, 8(4), 299‒323. https://doi.org/10.1080/14790718.2011.577777.
Wababa, Z., Welman, K., & Press, K. (2010). Isichazi-magama seziBalo Sezikolo sase-Cambridge. Cape Town: Cambridge University Press.
Wildsmith-Cromarty, R. (2012). Reflections on a research initiative aimed at enhancing the role of African languages in education in South Africa. Journal for Language Teaching, 46(2), 157‒170.
Young, D., van der Vlugt, J., Qanya, S., Abel, L., Brombacher, A., Clark, J., & Solomons, G. (2009). Understanding concepts in mathematics and science. Volume 2: A multilingual learning and teaching resource book in English, IsiXhosa, IsiZulu and Afrikaans. Cape Town: Maskew Miller Longman.
Young, D., van der Vlugt, J., Qanya, S., Abel, L., Brombacher, A., Clark, J., & Zuma, S. (2005). Understanding concepts in Mathematics and Science: A multilingual learning and teaching resource book in English, IsiXhosa, IsiZulu and Afrikaans. Cape Town: Maskew Miller Longman.
Zuma, S. C., & Dempster, E. R. (2008). IsiZulu as a language of assessment in Science. African Journal of Research in SMT Education, 12(2), 31‒46. https://doi.org/10.1080/10288457.2008.10740633.

How to cite this article

APA

Chikiwa, C., & Schäfer, M. (2018). Promoting Critical Thinking in Multilingual Mathematics Classes through Questioning. Eurasia Journal of Mathematics, Science and Technology Education, 14(8), em1562. https://doi.org/10.29333/ejmste/91832

Vancouver

Chikiwa C, Schäfer M. Promoting Critical Thinking in Multilingual Mathematics Classes through Questioning. EURASIA J Math Sci Tech Ed. 2018;14(8):em1562. https://doi.org/10.29333/ejmste/91832

AMA

Chikiwa C, Schäfer M. Promoting Critical Thinking in Multilingual Mathematics Classes through Questioning. EURASIA J Math Sci Tech Ed. 2018;14(8), em1562. https://doi.org/10.29333/ejmste/91832

Chicago

Chikiwa, Clemence, and Marc Schäfer. "Promoting Critical Thinking in Multilingual Mathematics Classes through Questioning". Eurasia Journal of Mathematics, Science and Technology Education 2018 14 no. 8 (2018): em1562. https://doi.org/10.29333/ejmste/91832

Harvard

Chikiwa, C., and Schäfer, M. (2018). Promoting Critical Thinking in Multilingual Mathematics Classes through Questioning. Eurasia Journal of Mathematics, Science and Technology Education, 14(8), em1562. https://doi.org/10.29333/ejmste/91832

MLA

Chikiwa, Clemence et al. "Promoting Critical Thinking in Multilingual Mathematics Classes through Questioning". Eurasia Journal of Mathematics, Science and Technology Education, vol. 14, no. 8, 2018, em1562. https://doi.org/10.29333/ejmste/91832