Students’ Reflections on Dispositions in a Mathematics Classroom

Main Article Content

Teoh Sian Hoon
Parmjit Singh
Mazlini Adnan
Koo Ah Choo

Abstract

This study investigates students' dispositions through a qualitative study that analyses students' reflective journal entries. It captures students' dispositions and describes how the reflective activities influence their engagement in mathematical problem-solving. The findings showed that the students considered the mathematical problems challenging, but their positive dispositions kept them engaged in learning. Engagement through effort and thinking algebraically with teachers' guidance was the crucial first step in problem-solving. Results from this study provide educators with a wealth of knowledge to develop learning dispositions that will encourage active thinking and engagement among students in mathematics classrooms.


 

Article Details

How to Cite
Hoon , T. S. ., Singh , P. ., Adnan, M. ., & Choo, K. A. . (2021). Students’ Reflections on Dispositions in a Mathematics Classroom. Journal of ASIAN Behavioural Studies, 6(18), 61–78. https://doi.org/10.21834/jabs.v6i18.384

References

Anderman, L.H., & Midgley, C. (1998). Motivation and middle school students [ERIC digest]. Champaign, IL: ERIC Clearinghouse on Elementary and Early Childhood Education. (ERIC Document Reproduction Service No. ED 421 281)

Boud D. Keogh R. & Walker D. (1985) Reflection: Turning experience into learning . Kogan Page, London.

Brooks, S.R., Freiburger, S.M., & Grotheer, D.R. (1998). Improving elementary student engagement in the learning process through integrated thematic instruction. Unpublished master's thesis Saint Xavier University, Chic ago, IL. (ERIC Document Reproduction Service No. ED 421 274)

Carpenter, T.P., Fennema, F., & Franke, M.L (1996). Cognitively guided instruction: A knowledge base for reform in primary mathematics instruction. Elementary School Journal, 97(1), 1 20.

Casin illo, L. F., Palen, M. A. E., Casinillo, E. L., & Batidor, P. G. (2020). Assessing Senior High Student s Learning Experiences in Mathematics. Indonesian Journal of Educational Studies , 23 (1), 44 60.

Cavilla, D (2017). The effects of student reflection on academic performance and motivation. Sage Journal , 7(3).

Coopley, J.V. (2000). The young child and mathematics . Washington, D.C: National Association for the Education of Young Children.

Costa, A. L., & Kallick, B. (Eds.). (2008). Learning and leading with habits of mind: 16 essential characteristics for success.

Davadas, S. D., & Lay, Y. F. (2020). Contributing Factors of Secondary Students' Attitude towards Mathematics. European Journal of Educational Research, 9(2), 489-498.

Davidson, N. (Ed.) (1990). Cooperative learning in mathematics: A handbook for teachers . Menlo Park, CA: Addison Wesley.

Deakin Crick, R. 2012. Student Engagement: Identity, Learning Power, and Enquiry - a complex systems approach. In S. Christenson, A. Reschley & C. Wylie E ds.) The Handbook of Research on Student Engagement . New York: Springer.

Deakin Crick, R. & Yu, G. (2008) The Effective Lifelong Learning Inventory (ELLI): is it valid and reliable as a measurement tool? Education Research , 50, 387 402.

Deakin Crick, R., Broadfoot, P. & Claxton, G. (2004). Developing an Effective Lifelong Learning Inventory: The ELLI Project. Assessment in Education, 11, 248 272.

Dewey, J.(1933). How we think DC Heath and Co Boston MA.

Di Stefano, G., Gino, F., Pisano, G.P. Staats, B.R., (2016). Making Experience Count: The Role of Reflection in Individual Learning Harv ard Business School NOM Unit Working Paper No. 14 093. Retrieved from at https://ssrn.com/abstract=2414478 or http://dx.doi.org/10.2139/ssrn.2414478

Dunleavy, J. & Milton, P. (2010) Student engagement for effective teaching and deep learning. Education Canada , 48.

Lew, M.D.N, & Schmidt, H.G. (2011). Self-reflection and academic performance: is there a relationship? Adv Health Sci Educ Theory Pract,16(4), 529–545.

Elbers, E ..(2003). Classroom interaction as reflection learning and teaching mathematics in a community of inquiry. Educational Studies in Mathematics 54, 77 99.

Feuerstein, R., Rand, Y., & Hoffman, M., & Miller, R. (1980). Instrumental Enrichment: An intervention program for cognitive modifiability. Baltimore, MD: University Park Press.

Fraser, B.J., & Kahle, J.B. (2007). Classroom, home, and the peer environment influence on student outcomes in science and mathematics: an analysis of systemic reform data, International Journal of Science Education, 29(15), 1891-1909.

Graven, M. (2015). Strengthening maths learning dispositions through 'math clubs ’, South African. Journal of Childhood Education 5(3), 342-348.

Halpern, D. F. (1998). Teaching critical thinking for transfer across domains: Disposition, skills, structure training, and metacognitive monitoring. American Psychologist, 53(4), 449–455. https://doi.org/10.1037/0003-066X.53.4.449

Hart, L. (1989). Describing the affective domain: saying What we Mean. In D. B. McLeod V. M. Adams (Eds ..), Affect and Mathematical Problem Solving: A New Perspective (pp. 37 45). New York: Springer Verlag.

Heibert, J., & Wearne, D. (1993). Instructional tasks, classroom discourse, and Students’ learning in second grade arithmetic. American Educational Research Journal, 30, 393 425.

Johns C ( Becoming a reflective practitioner. Blackwell Science Oxford.

Johnson, D., & Johnson, R. (1975). Learning Together and Alone: Cooperation, competition, and Individualization. Englewood Cliffs, NJ: Prentice Hall.

Kritt, D. (1993). Authenticity, reflection, and self-evaluation in alternative assessment. Middle School Journal, 25, 43-45. Kusmaryono, I., Suyitno, H., Dwijanto, D., & Dwidayati, N. (2019). The Effect of Mathematical Disposition on Mathematical Power Formation: Review of Dispositional Mental Functions. International Journal of Instruction, 12 (1), 343-356.

Lakoff, G., & R.E. Nunez (2000). Where Mathematics Comes From – How the Embodied Mind Brings Mathematics into Being. New York, NY: Basic Books, 2000.

Lumsden, L.S. (1994). Student motivation to learn (ERIC Digest No. 92). Eugene, OR: ERIC Clearinghouse on Educational Management. (ERIC Document Reproduction Service No. ED 370 200)

Ma, L. (1999). Knowing and teaching mathematics: teachers' understanding of ental Mathematics in China and the United States. Mahwah, N.J.: Lawrence Erlbaum.

Masini, B.& Taylor, J. (2000). New evidence links curricula and instruction to Mathematics achievement (Report no. SE065 062). Oak Brook, IL: North Central Regional Educational Lad. (ED 455 110).

Mazana, Y. M., Suero Montero, C., & Olifage, C. R. (2019). Investigating students' attitudes towards learning mathematics. International Electronic Journal of Mathematics Education, 14 (1), 207-231. https://doi.org/10.29333/iejme/3997

McLeod, B. D. (1994). Research on effect and mathematics learning in the JRME: 1970 to the Present. Journal for Research in Mathematics Education, 25 (6), 637-647.

Ormrod, J.E. (1999). Human learning. Upper Saddle River, NJ: Prentice Hall.

Parmjit, S.(2009). Mathematical Problem Solving for Teenagers. Primera Publication.

Parmjit, S., & Teoh, S.H. (2010). An analysis of addition and subtraction word problems in mathematics textbook used in Malaysia primary school classroom. Brunei Int.J.of Sci.& Math. Edu ., 2(1), 68-85.

Peltier, J.W., Hay, A., & Drago, W. (2005). The reflective learning continuum: reflecting on reflection. Journal of Marketing Education (JMD) JMD), 27(3), 250-263.

Polya , G. (2004). How to solve it: A new aspect of mathematical method. Princeton University Press.

Prasad, P.V. (2014). Connection, motivation, & alignment: exploring the effects of content based mathematical professional development. The University of Arizona.

Reinhart, S.C. (2000). Never say anything a kid can say. Mathematics Teaching in the Middle School, 5 (8).

Sperling, R. A., Richmond, A. S., Ramsay, C. M., Klapp, M. (2012). The measurement and predictive ability of metacognition in middle school learners. The Journal of Educational Research, 105(1), 1-7.

Sansome, E. J. (2016). Building teachers' pedagogy practices in reasoning, to improve students' dispositions towards mathematics Unpublished Master's thesis, Queensland University of Technology.

Schoenfeld, A. H. (1985). Mathematical problem-solving. Orlando, FL: Academic Press.

Stein, M. K., Smith, M. S., Henningsen, M. A., & Silver, E. A.(2000). Implementing-standards based mathematics instruction. NY: Teacher College Press, Columbia University.

Stigler, J. (2004) The teaching gap: Reflections on Mathematics Teaching and How to Improve It. Paper presented at the Pearson National Educational Leadership Conference, Washington, D.C., March 2004.

Teoh , S H .., Koo A C .., Parmjit S ..(2010). Extracting factors for students ’ motivation in studying mathematics. International Journal of Mathematical Education in Science and Technology, 41(6), 711-724.

Teoh, S.H., Kor, L.K. & Shaminah M K ..(2017). Self-management strategies in a student-driven learning environment. In A. Nor Aziah & E. L. Johan (Eds). Student-driven learning strategies for the 21st Century classroom, 62-71.

Thomas, J., Utley, J., Hong, S. Y., Korkmaz, H., & Nugent, G. (2020 ). A Review of the Research. Handbook of Research on STEM Education Routledge: New York.

Weiss, I.R., Heck, D.J., & Shimkus, E.S. (2004) Mathematics Teaching in the United States. Journal of Mathematics Education Leadership, 7, 23-3.

Williams, N. (2008). Reflective journal writing as an alternative assessment. Retrieved from www.otterbein.edu/education /JTIR/VolumeIII/williams.pdf

Yazzie-Mintz, E. (2010). Charting the path from engagement to achievement: A report on the 2009 High School Survey of Student Engagement. Bloomington, IN: Center for Evaluation and Education Policy. Retrieved

December 11th, 2012, 24, 2011.

Zimmerman, B., & Schunk, D (Eds..)(1989). Self-regulated learning and academic achievement: Theory, research, and practice. New York: Springe.