Asian Journal of Instruction
Research Article
2014, 2(1(ÖZEL)), pp. 149-156

PEER PROBLEM SOLVING AS AN INSTRUCTIONAL STRATEGY TO ENHANCE MATHEMATICAL DISCOURSE IN 6TH GRADE MATHEMATICS

Published in Volume 2 Issue 1(ÖZEL): 23 Sep 2014
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Abstract

Recent studies on mathematics education focus on improving higher order thinking skills instead of merely attaining and using knowledge. Deep understanding of mathematics requires to engage in the processes of mathematical thinking. Defining and solving problems, discovering patterns, making conjectures, inferences and justifying one's own thinking are among those mathematical processes. Using mathematical talk, discussion and discourse to promote new goals of mathematics education have been widely researched in the last decades. For these reasons, creating a classroom atmosphere which provides a fruitful communication is an important area for research in mathematics education. The purpose of the study was to implement and investigate an instructional strategy to enhance mathematical discourse among students. Students' approaches to mathematical discourse as a learning tool is also examined. Qualitative methodology was used to investigate the effectiveness of group problem solving as an instructional strategy in fostering mathematical discourse. A two hour lesson plan was developed and implemented to 20 students attending 6th grade. Students filled open-ended question forms before and after implementation. Researchers also made observations and took field notes during the implementation. Content analysis was used to analyze data. Findings of the study indicated that group problem solving is an effective way to foster mathematical discourse in the classroom. Students pointed out that they enjoy and learned from mathematical talk they engaged in this group activity. Observation and field notes also indicated if the instruction presents a problem to solve through groupwork students need to engage in mathematical talk.
  • Bandura, A. (1969). Social learning theory of identificatory processes. In D.A. Goslin (Ed.), Handbook of Socialization Theory and Research (pp. 213-262). Chicago: Rand McNally.
  • Brown, A. L., & Palincsar, A. S. (1989). Guided, cooperative learning and individual knowledge acquisition. Knowing, learning, and instruction: Essays in honor of Robert Glaser, 393-451.
  • Chapin, S. H., O'Connor, C., & Anderson, N. C. (2009). Classroom Discussions: Using Math Talk to Help Students Learn, Grades K-6. Sausalito, CA: Math Solutions.
  • Cobb, P., Boufi, A., McClain, K., & Whitenack, J. (1997). Reflective discourse and collective reflection. Journal for Research in Mathematics Education, 258-277.
  • Creswell, J.W. (2012). Educational research:Planning, conducting, and evaluating quantitative and qualitative research (4th ed.). Boston: Pearson.
  • Hiebert, J. (1992). Reflection and communication: Cognitive considerations in school mathematics reform. International Journal of Educational Research, 17(5), 439-456.
  • Hiebert, J., Stigler, J. W., Jacobs, J. K., Givvin, K. B., Garnier, H., Smith, M., ... & Gallimore, R. (2005). Mathematics teaching in the United States today (and tomorrow): Results from the TIMSS 1999 video study. Educational Evaluation and Policy Analysis, 27(2), 111-132.
  • Jansen, A. (2006). Seventh graders' motivations for participating in two discussion‐oriented mathematics classrooms. The Elementary School Journal, 106(5), 409-428.
  • Kilpatrick, J., Swafford, J., & Findell, B. (Eds.). (2001). Adding+ it up: Helping children learn mathematics. National Academies Press.
  • Kostos, K., & Shin, E. K. (2010). Using math journals to enhance second graders’ communication of mathematical thinking. Early Childhood Education Journal, 38(3), 223-231.
  • Lampert, M. (1990). When the problem is not the question and the solution is not the answer: Mathematical knowing and teaching. American educational research journal, 27(1), 29-63.
  • Lynch, S. D., & Bolyard, J. J. (2012). Putting Mathematical Discourse In Writing. Mathematics Teaching in the Middle School, 17(8), 486-492.
  • McNair, R. E. (2000). Working in the mathematics frame: Maximizing the potential to learn from students' mathematics classroom discussions. Educational Studies in Mathematics, 42(2), 197-209.
  • Moschkovich, J. N. (1996). Moving up and getting steeper: Negotiating shared descriptions of linear graphs. The Journal of the Learning Sciences, 5(3), 239-277.
  • National Council of Teachers of Mathematics. (1989). Curriculum and evaluation standards for school mathematics. Reston, VA.
  • Pape, S. J., Bell, C. V., & Yetkin, İ. E. (2003). Developing mathematical thinking and self-regulated learning: A teaching experiment in a seventh-grade mathematics classroom. Educational Studies in Mathematics, 53(3), 179-202.
  • Resnick, L. (1990). Treating mathematics as an ill structured discipline. In R.Charles & A. Silver (Eds.), Research agenda for mathematics education: Vol.3. The teaching and assessing of mathematical problem solving (pp.32-60). Hillsdale, NJ: Lawrence Erlbaum Associates, Inc.
  • Romberg, T. A., & Kaput, J. J. (1999). Mathematics worth teaching, mathematics worth understanding. In Fennema, E., & Romberg, T. A. (Eds.), Mathematics classrooms that promote understanding (pp. 3-17). Mahwah, NJ: Lawrence Erlbaum Associates.
  • Schoenfeld, A. H. (1992). Learning to think mathematically: Problem solving, metacognition, and sense making in mathematics. Handbook of research on mathematics teaching and learning, 334-370.
  • Sfard, A. (2001). There is more to discourse than meets the ears: Looking at thinking as communicating to learn more about mathematical learning. Educational Studies in Mathematics, 46(1-3), 13-57.
  • Stein, M. K., Grover, B. W., & Henningsen, M. (1996). Building student capacity for mathematical thinking and reasoning: An analysis of mathematical tasks used in reform classrooms. American Educational Research Journal, 33(2), 455-488.
  • Trafton, P.R., & Claus, S.C. (1994). A changing curriculum for a changing age. In C.E. Thornton & N.S. Bley (eds.), Windows of opportunity mathematics for students with special needs (pp. 19-39). Reston, VA: National Council of Teachers of Mathematics.
  • Vygotsky, L.S. (1978). Mind in society: The development of higher psychological processes. Cambridge, MA: Harvard University Press.
  • Walshaw, M., & Anthony, G. (2008). The teacher’s role in classroom discourse: A review of recent research into mathematics classrooms. Review of Educational Research, 78(3), 516-551.
  • Wood, T. (1999). Creating a context for argument in mathematics class. Journal for research in mathematics education, 30 (2), 171-191.
  • 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, 390-408.
AMA 10th edition
In-text citation: (1), (2), (3), etc.
Reference: Kaya D, Altun S. PEER PROBLEM SOLVING AS AN INSTRUCTIONAL STRATEGY TO ENHANCE MATHEMATICAL DISCOURSE IN 6TH GRADE MATHEMATICS. Asian Journal of Instruction. 2014;2(1(ÖZEL)), 149-156.
APA 6th edition
In-text citation: (Kaya & Altun, 2014)
Reference: Kaya, D., & Altun, S. (2014). PEER PROBLEM SOLVING AS AN INSTRUCTIONAL STRATEGY TO ENHANCE MATHEMATICAL DISCOURSE IN 6TH GRADE MATHEMATICS. Asian Journal of Instruction, 2(1(ÖZEL)), 149-156.
Chicago
In-text citation: (Kaya and Altun, 2014)
Reference: Kaya, Defne, and Sertel Altun. "PEER PROBLEM SOLVING AS AN INSTRUCTIONAL STRATEGY TO ENHANCE MATHEMATICAL DISCOURSE IN 6TH GRADE MATHEMATICS". Asian Journal of Instruction 2014 2 no. 1(ÖZEL) (2014): 149-156.
Harvard
In-text citation: (Kaya and Altun, 2014)
Reference: Kaya, D., and Altun, S. (2014). PEER PROBLEM SOLVING AS AN INSTRUCTIONAL STRATEGY TO ENHANCE MATHEMATICAL DISCOURSE IN 6TH GRADE MATHEMATICS. Asian Journal of Instruction, 2(1(ÖZEL)), pp. 149-156.
MLA
In-text citation: (Kaya and Altun, 2014)
Reference: Kaya, Defne et al. "PEER PROBLEM SOLVING AS AN INSTRUCTIONAL STRATEGY TO ENHANCE MATHEMATICAL DISCOURSE IN 6TH GRADE MATHEMATICS". Asian Journal of Instruction, vol. 2, no. 1(ÖZEL), 2014, pp. 149-156.
Vancouver
In-text citation: (1), (2), (3), etc.
Reference: Kaya D, Altun S. PEER PROBLEM SOLVING AS AN INSTRUCTIONAL STRATEGY TO ENHANCE MATHEMATICAL DISCOURSE IN 6TH GRADE MATHEMATICS. Asian Journal of Instruction. 2014;2(1(ÖZEL)):149-56.
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