pp. 383-396 | Article Number: iejme.2017.017
Published Online: June 18, 2017
Article Views: 249 | Article Download: 264
This study is descriptive-qualitative in nature, aims to examine, (1) How do the students construct the mathematical knowledge (i.e. statistics for elementary school) through classroom discussion?, (2) What role are the students and the teacher playing in the discussion?, (3) What impact do their contributions have in the construction of new mathematical knowledge? As subjects of this study are 21 fifth-grade students of SD Labschool Unesa. Data were collected by using observation sheets, and by videotaping the class lessons with three cameras. The results suggest that both the teacher and the students participated actively in small group discussion, and played the majority of roles offered in an effective discussion. At the end of the lesson, there was a whole class discussion that functioned as meaning negotiation – to facilitate the students to share solutions and strategies with the whole class, and promote student reflection on the different strategies. This suggests that even ‘difficult materials’ can be successfully constructed by fifth-grade students using classroom discussion. Therefore, it is suggested that classroom discussion can be chosen as one of learning methods in a mathematics classroom in which the teacher provides appropriate mathematics contents and uses productive strategies to facilitate the learning processes.
Keywords: Classroom discussion, Mathematical knowledge, Statistics, Elementary school
As’ari, A.R. (2016). Menjawab Tantangan Pengembangan 4C’s Melalui Pengembangan Kurikulum dan Pembelajaran Matematika. Makalah Utama. Prosiding Seminar Nasional Pendidikan Matematika,1-7. ISBN: 978-602-1150-19-1. Malang: Pascasarjana Universitas Negeri Malang.
Association Center for Best Practices, Council of Chief State School Officers, (2010). Retrieved from
Bauersfeld, H. (Eds.). (1991). The Emergence of Mathematical Meaning: Interaction in Classroom Cultures. Hillside, NJ: Lawrence Erlbaum Associates.
Black, L. (2004). Teacher-Pupil Talk in Whole Class Discussions and Process of Social Positioning within the Primary School Classroom. Language and Education, 18 (5), 347–360.
Boaler, J. (2008) Promoting ‘Relational Equity’and High Mathematics Achievement Through an Innovative Mixed Ability Approach. British Educational Research Journal, 34 (2), 167-194. Taylor & Francis. Retrieved from https://dx.doi.org/10.1080/01411920701532145.
Boaler, J. (1998). Open and Closed Mathematics: Student Experiences and Understandings. Journal for Research in Mathematics Education, 29(1), 41–62.
Bruce, C.D. (2007). Student Interaction in the Math Classroom: Stealing Ideas or Building Understanding. What Works? Research Monograph # 1 Research into Practice. Ontario: the Literacy and Numeracy Secretariat and the Ontario Association of Deans of Education.
Chapin, S.H., O’Connor, C., and Anderson, N.C. (2003). Classroom Discussions: Using Math Talk in Elementary Classrooms. Math Solutions 11. Retrieved from http://www.mathsolutions.com/ documents/0-941355-53-5_L.pdf
Clayton, H. (2014). Keys to Productive Discussions in the Math Classroom. Making the Common Core Come Alive! Vol. 3 (4). Retrieved from http:// www.justaskpublications.com.
Cohen, E.G. (1994). Designing Groupwork: Strategies for the Heterogeneous Classroom. New York, NY: Teachers College Press. Retrieved from https://book.google.co.id
Dekker, R. & Elshout-Mohr, M. (2004). Teacher Interventions Aimed at mathematical Level Raising during Collaborative Learning. Educational Studies in Mathematics, Vol. 56 (1), 39-65. Retrieved from http://www.jstor.org/stable/4150263.
Ding, M., Li, X., Piccolo, D., and Kulm, G. (2007). Teaching Interventions in Cooperative Learning Mathematics Classes. The Journal of Educational Research, Vol. 100, 162-175.
Hufferd-Ackles, K.., Fuson, K.C., and Gamoran-Sherin, M. (2004).Describing Levels and Components of a Math-talk Learning Community. Journal of Research in Mathematics Education, 35(2), 81–116.
Kaplan, A., Gheen, M., and Midgley, C. (2002). Classroom Goal Structure and Student Disruptive Behaviour. British Journal of Educational Psychology, Vol. 72 (2), 191-211.
Lantolf, J.P. (2000) Sociocultural Theory and Second Language Learning. Oxford, UK: Oxford University Press.
Math Solutions Professional Development. (2011) Sausalito, CA: Math Solutions. Retrieved from www.mathsolutions.com/documents/qanda_usingmathtalk.pdf.
Mercer, N. (1995) The Guided Construction of Knowledge: Talk Amongst Teachers and Learners. Church Point, NSW: Footprint Books.
Nathan, M.J. & Knuth, E.J. (2003). A study of Whole Classroom MathematicalDiscourseandeacherChange. Cognition and Instruction, 27 (2), 175–207.
National Education Association (NEA). (2011). Preparing 21st Century Students for a Global Society: An Educator’s Guide to the “Four Cs”. Washington: National Education.
National Council of Teachers of Mathematics. (2000). Principles and Standards for School Mathematics. Reston, VA: National Council of Teachers of Mathematics.
Nunan, D. (2010). Second Language Teaching & Learning. Newbury House of Teacher Development. Michigan: Heinle & Heinle.
Partnership for 21st Century Skills. (2011). 21st Century Skills Map: Math. Washington: P21.org.
Pusat Kurikulum. (2013). Kurikulum 2013. Jakarta: Depdiknas.
Sharan, S. & Sharan, Y. (1992). Expanding Cooperative Learning Through Group Investigation. Colchester, VT: Teachers College Press.
Slavin, R.E (1980). Cooperative learning. Review of Educational Research. Vol. 50: 315-342. Baltimore, MD: Center for Social Organization of Schools, John Hopkins University.
Vygotsky, L. (1978). Mind in Society: The Development of Higher Psychological Processes. Cambridge, MA: Harvard University Press.
Wagganer, E.L. (2015). Creating Math Talk Communities. Retrieved from http://www.nctm.org/ Publications/Teaching-Children-Mathematics/2015/Vol22/Issue4/Creating-Math-Talk-Communities/
Well, G. (2002). Learning and Teaching for Understanding: The Key Role of Collaborative Knowledge Building. Social Constructivist Teaching, Vol. 9, 1–41. Elsevier Science Ltd.
Webb, N.M. (2009) The Teacher’s Role in Promoting Collaborative Dialogue in the Classroom. British Journal of Educational Psychology, Vol. 79, 1–28. The British Psychological Society. Retrieved from http://www.bpsjournals.co.uk.
William, M. and Burden, R. (1997). Psychology for Language Teachers. Cambridge, UK: Cambridge University Press.
Yackel, E., Cobb, P., & Wood, T. (1991). Small-Group Interactions as a Source of Learning Opportunities in Second-Grade Mathematics. Journal for research in Mathematics Education, Vol. 22 (5). Retrieved from http://mathforum.org