Integrating Writing into Mathematics Classroom to Increase Students’ Problem Solving Skills (Pages: 361-369
Author :
Abstract
Middle school students lack efficient problem solving skills due to several factors. The writing process has been linked to the development of students' problem solving skills. The present study investigated the impact of the writing process on the mathematical problem solving skills for middle grades students. N = 96 students participated in a six weeks, after school STEM program, and they were randomly assigned into two groups: one focused on the writing process with mathematical problem solving and the other on homework/high stakes test preparation with mathematical problem solving. In this quantitative study, the results provide evidence that the students from the writing process group were more likely to generate and apply better problem solving skills as compared to the control group. This study further contributes to the support and importance of integrating different subjects across the generalized learning realm.
Keywords
Abstract
Middle school students lack efficient problem solving skills due to several factors. The writing process has been linked to the development of students' problem solving skills. The present study investigated the impact of the writing process on the mathematical problem solving skills for middle grades students. N = 96 students participated in a six weeks, after school STEM program, and they were randomly assigned into two groups: one focused on the writing process with mathematical problem solving and the other on homework/high stakes test preparation with mathematical problem solving. In this quantitative study, the results provide evidence that the students from the writing process group were more likely to generate and apply better problem solving skills as compared to the control group. This study further contributes to the support and importance of integrating different subjects across the generalized learning realm.
Keywords
- Adams, A. (2010). Rehearsal or reorganization two patterns of literacy strategy use in secondary mathematics class. The Montana Mathematics Enthusiast, 7, 371-390.
- Ashlock, B. R. (2005). Error patterns in computation: Using error patterns to improve instruction. Upper Saddle River, NJ: Prentice Hall.
- Arbaugh, F., & Brown, C. A. (2004). What makes a mathematical task worthwhile? Designing a learning tool for high school mathematics teachers. In R. Rubenstein (Ed.), Effective mathematics teaching: Implementing the teaching principles. 2004 Yearbook. Reston, VA: National Council of Teacher of Mathematics.
- Ball, D. L. (1994, November). Developing mathematics reform: What don’t we know about teacher learning-but would make good working hypothesis? Paper presented at the conference on Teacher Enhancement K6,Arlington, VA.
- Bagley, T., & Gallenberger, C. (1992). Assessing students’ dispositions: Using journal to improve students’ performance. Mathematics Teacher, 85, 660-663.
- Banger-Drowns, R. L., Hurley, M. M., & Wilkinson, B. (2004). The effects of school based interventions on academic achievement: A meta-analysis. Review of Educational Research 74(1), 29-58.
- Battista, M., & Clements, D. (2000). Geometry and spatial reasoning. In D. Grouws (Ed.), Handbook of research on mathematics teaching and learning. New York, NY: McMillan.
- Bell, E. S., & Bell, R. N. (1985). Writing and mathematical problem solving: Arguments in favor of synthesis. School Science and Mathematics, 85, 210-221.
- Bell, A. W., & Purdy, D. (1985). Diagnostic teaching-some problems of directionality. Shell Centre for Mathematics Education, University of Nottingham, England.
- Borasi, R., & Rose, B. J. (1989). Journal writing and mathematics instruction. Educational Studies in Mathematics, 20,347-165.
- Burton, L., & Morgan, C. (2000). Mathematicians writing. Journal for Research in Mathematics Education, 31, 429-453.
- Capraro, R. M. (2004). Statistical significance, effect size reporting, and confidence intervals: Best reporting strategies. Journal for Research in Mathematics Education, 35, 57-62.
- Capraro, R. M. (2009). Quantitative methods in middle grades research: Developing a reporting framework. Middle Grades Research Journal, 4, i.
- Capraro, R. M., Capraro, M. M., & Rupley, W. H. (2011). Reading-enhanced word problem solving: A theoretical model. European Journal of Psychology of Education DOI:10.1007/S10212-011-0068-3.
- Capraro, M. M., & Joffrion, H. (2006). Algebraic equations: Can middle-school students meaningfully translate from words to mathematical symbols? Reading Psychology, 27,147-164.
- Crespo, S. (2000). Seeing more than right and wrong answers: Prospective teachers’ interpretation of students’ mathematical work. Journal of Mathematics Teacher Education, 3, 155-181.
- Cirillo, M., Bruna, R. K., & Herbel-Eisenmann, B. (2010). Acquisition of mathematical language: Suggestions and activities for English language learners. Multicultural Perspectives, 12 (1), 34-41.
- Duke, N.K., & Pearson, P.D. (2002). Effective practices for developing reading comprehension. Newark, DE: International Reading Association.
- Emig, J. (1977). Writing as a mode of learning. College Composition and Communication, 28, 122-28.
- Goodkin, V. (1982). The intellectual consequences of writing: Writing as a tool for learning. PhD dissertation, Rutgers University, New Brunswick, NJ.
- Farris, P. J. (1993). Language arts: A process approach. Madison, WI: Brown and Benchmark Publishers.
- Flores, A., & Brittain, C. (2003). Writing to reflect in a mathematics methods course. Teaching Children Mathematics, 10(2), 112.
- Flower, L., & Hayes, J. R. (1977). Problem-solving strategies and the writing process. College English, 39, 449- 461.
- Flower, L., Schriver, K. A., Carey, L., Haas, C., & Hayes, J. R. (1992). Planning in writing: The cognition of a constructive process. Technical Report 34, Center for the Study of Writing, Carneige Mellen University, Berkeley, CA &, Pittsburg, BA.
- Haneda, M., & Wells, G. (2000). Writing in knowledge-building communities. Research in the Teaching of English, 34, 430-453.
- Hayes, J. R. (1996). A new framework for understanding cognition and affect in writing. In C. M. Levy, & S. Ransdell (Eds.). The science of writing. Mahwah, NJ: Erlbaum.
- Kreeft, J. (1984). Dialogue journal writing: Bridge from talk to essay writing. Language Arts, 61(2), 141- 150.
- Kilpatrick, J., Martin, W. G. & Schifter D. (Eds.). (2003). Research companion to principles and standards for school mathematics (pp. 275-284). Reston, VA: National Council of Teachers of Mathematics.
- Ladson-Billings, G. (1995). Toward a theory of culturally relevant pedagogy. American Educational Research Journal, 32, 465-491.
- Lampert, M., & Cobb, P. (2003). Communication and language. In J. Kilpatrick & D. Shifter (Eds.), Research companion to the NCTM standards, 237-249. Reston, VA: National Council of Teachers of Mathematics.
- Linn, M. (1987). Effects of journal writing on thinking skills of high school geometry students. Unpublished Master's thesis, University of North Florida.
- Manouchehri, A., & Lapp, D. A. (2003). Unveiling student understanding: The role of questioning in instruction. Mathematics Teacher, 96(8), 562-566.
- Manouchehri, A., & St. John, D. (2006). From classroom discussions to group discourse. Mathematics Teacher, 99(8), 544-551.
- Mayer, J., Lester, N., & Pradl, G. (1983). Learning to write, writing to learn. Upper Montclair, NJ: Boynton, Cook.
- Meel, D. (1999). Email dialogue journals in a college calculus classroom: A look at the implementation and benefits. Journal of Computers in Mathematics and Science Teaching, 18(4), 387-413.
- Meier, J., & Rishel, J. (1998). Writing in the teaching and learning of mathematics. Washington, DC: The Mathematical Association of America.
- National Writing Project, & Nagin, C. (2003). Because writing matters: Improving student writing in our schools. San Francisco, CA: Jossey-Bass.
- Nahrgang, C. L., & Peterson, B. T. (1986). Using writing to learn mathematics. Mathematics Reacher, 79, 461- 465.
- National Research Council (2000). How people learn: Brain, mind, experience, and school. Washington, DC: National Academy Press.
- National Council of Teachers of Mathematics (1990). Professional standards for mathematics., Reston, VA: NCTM.
- National Council of Teachers of Mathematics (2000). Principles and standards for school mathematics. Reston, VA: NCTM.
- Odell, L. (1980). The process of writing and the process of learning. College Composition and Communication, 36, 42-50.
- Pegg, J., & Davey, G. (1998). Interpreting student understanding in geometry: A synthesis of two models. In R. Lehrer & D. Chazan (Eds.). Designing learning environments for developing understanding of geometry and space (pp. 109-135). Mahwah, NJ: Erlbaum.
- Polya, G. (1967). Mathematical discovery: On understanding, learning, and teaching problem solving. Hoboken, NJ: Wiley.
- Polya, G. (1973). How to solve it. Princeton, NJ: University Press.
- Piccolo, D. L., Carter, T. A., Harbaugh, A. P., Capraro, M. M., & Capraro, R. M. (2008). Quality of instruction: Examining discourse in middle school mathematics instruction. Journal of Advanced Academics, 19, 376
- Pugalee, D. K. (2001). Writing, mathematics, and metacognition: Looking for connections through students' work in mathematical problem solving. School Science and Mathematics, 101(5), 236-45.
- Rose, B.J. (1990). Using expressive writing to support mathematics instruction: Benefits for the student, teacher, and classroom’, in A. Sterrett (ed.), Using Writing to Teach Mathematics, Mathematical Association of America, Washington, DC, 63–72.
- Schoenfeld, A. H. (1985). Mathematical problem solving. Orlando, FL: Academic.
- Schoenfeld, A. H. (1987). What's all the fuss about metacognition? In A. H. Schoenfeld (Ed.). Cognitive science and mathematics education. (pp. 189-215). Hillsdale, NJ: Erlbaum.
- Schoenfeld, A. H. (1988). When good teaching leads to bad results: The disasters of “well-taught” mathematics courses, Educational Psychologist, 23(2), 145-66.
- Schoenfeld, A. H. (1994). What do we know about mathematics curricula? Journal of Mathematical Behavior, 13(1), 55-80.
- Schoenfeld, A. H. (2004). The math wars. Educational Policy, 18, 253-286.
- Selden, A., Selden, J., Hauk, S., & Mason, A. (1999). Do calculus students eventually learn to solve non-routine problems (Technical Report No. 1999-5). Cookeville, TN: Tennessee Technological University.
- Selden, A., Selden, J., Hauk, S., & Mason, A. (2000). Why can’t calculus students access their knowledge to solve non-routine problems? CBMS Issues in Mathematics Education, 8, 128-153.
- Seto, M., & Meel, E. D. (2000). Writing in mathematics: Making it work. Primus: Problems, Resources, and Issues in Mathematics Undergraduate Studies, 16(3), 204.
- Stanton, J. (1984). Thinking together: Language interaction in children’s reasoning. Urbana, IL: National Council of Teachers of English. (ERIC Document Reproduction Service No. ED 247 607).
- Steele, D. F. (1999). Learning mathematical language in the zone of proximal development. Teaching Children Mathematics, 6(1), 41.
- Swafford, J. & Bryan, J. (2000). Instructional strategies for promoting conceptual change: Supporting middle school students. Reading & Writing Quarterly, 16, 139-161.
- Van Hiele, P. M. (1986). Structure and insight: A theory of mathematics education. Orlando, FL: Academic Press.
- Webb, N. L. (1997). Research monograph number 6:“Criteria for alignment of expectations and assessments on mathematics and science education.” Washington, DC: CCSSO.
- Watson, M. (1980). Writing has a place in a mathematics class. The Mathematics Teacher, 73, 516-519.
- Zientek, L. R., Capraro, M. M., & Capraro, R. M. (2008). Reporting practices in quantitative teacher education research: One look at the evidence cited in the AERA panel report. Educational Researcher, 37, 208-216.