STUDENTS' POSITIONING AND EMOTIONS IN LEARNING GEOMETRIC DEFINITION

Wajeeh Daher

Abstract


The purpose of the present paper is to study the positions and emotions of grade 7 students who work with technology to learn geometry. This consideration of students’ emotions is socially based, which makes it necessary to use a socially-based theoretical framework in order to study them. One such theory is the discursive analysis framework suggested by Evans, Morgan, and Tsatsarony, which is utilized in the present paper to analyze the positioning and emotions of fifteen groups of grade seven students who utilized technology to investigate the circle topic. The findings show that the group leaders took their positions through knowledge, action, initiation, persistence and meta-processes, while the followers of directions took their positions by accepting the group leader's requests. What most distinguished the collaborator was the communication with the other members of the group. Furthermore, the insiders used pronouns that indicated their inclusion. The results show that technology nurtured students' positive emotions as a result of nurturing their positioning throughout the investigation of the circle topic.


Keywords


Discursive Analysis; Students' Emotions; Students' Positions; Geometry; Technology

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Antognazza, D., Di Martino, P., Pellandini, A., & Sbaragli, S. (2015). The flow of emotions in primary school problem solving. In K. Krainer, & Vondrova, N. (Eds.), Proceedings of the Ninth Congress of the European Society for Research in Mathematics Education (CERME 9) (pp. 1116- 1122). Prague, Czech Republic: ERME.

Bachiochi, P. D., Rogelberg, S. G., O’Connor, M. S. & Elder, A. E. (2000). The qualities of an effective team leader. Organization Development Journal, 18(1), 11-27.

Baya’a, N., Daher, W. & Mahagna, S. (2017). The effect of collaborative computerized learning using GeoGebra on the development of concept images of the angle among seventh graders. In G. Aldon & J. Trgalova (Eds.), Proceedings of the 13th International Conference on Technology in Mathematics Teaching (ICTMT 13) (pp. 208-215), Lyon, France: Ecole Normale Sup´erieure de Lyon.

Baya'a, N. & Daher, W. (2010). Middle school students' learning of mathematics using mobile phones: conditions and consequences. Journal of Interactive Learning Research, 21(1), 1-25.

Becta. (2009). Secondary mathematics with ICT: A pupil’s entitlement to ICT in secondary mathematics. London, England: Author.

Boaler, J. (2002). The development of disciplinary relationships: Knowledge, practice, and identity in mathematics classrooms. In A. D. Cockburn, & E. Nardi, (Eds.), Proceedings of the 26th Annual Meeting of the International Group for the Psychology of Mathematics Education (pp. 113-120). Norwich, England.

Bradford, D.A., & Carifio, J. (2007). Mathematical sophistication and differentiated emotions during mathematical problem solving. Journal of Mathematics and Statistics, 3(4), 163-167. http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.152.9144.

Cornelius, C., & Boos, M. (2003). Enhancing mutual understanding in synchronous computer-mediated communication by training. Communication Research, 30(2), 147-177. https://doi.org/10.1177/0093650202250874.

Daher, W. (2012). The influence of mathematical outdoor activities' characteristics on students' emotions. The International Journal of Interactive Mobile Technologies, 6(2), 4-12.

Daher, W. (2013). Cognitive, meta-cognitive, affective, social and behavioral aspects of mobile mathematics learning. The Electronic Journal of Mathematics and Technology, 7(5), 363-381.

Daher, W. (2015). Discursive positioning and emotions in modelling activities. International Journal of Mathematical Education in Science and Technology, 46(8), 1149-1164. https://doi.org/10.1080/0020739X.2015.1031836.

Daher, W., Anabousy, A., & Jabarin, R. (2018). Metacognition, positioning and emotions in mathematical activities. International Journal of Research in Education and Science (IJRES), 4(1), 292-303.

Daher, W., Swidan, O., & Masarwa, A. (2017). Positioning and emotions in learning Algebra: The case of middle- achieving students. Paper presented at the Tenth Congress of the European Society for Research in Mathematics Education (CERME10). February 1-5, 2017. Dublin, Ireland.

Daher, W., Swidan, O., & Shahbari, J. (2015). Discursive positionings and emotions in a small group’s learning of geometric definitions. In K. Krainer & N. Vondrova (Eds.), Proceedings of the Ninth Congress of the European Society for Research in Mathematics Education (CERME 9) (pp. 1160–1166). Prague, Czech Republic: European Society for Research in Mathematics Education.

El Saj, H. (2012). Discourse analysis: Personal pronouns in Oprah Winfrey hosting queen Rania of Jordan. International Journal of Social Science and Humanity, 2(6), 529-532.

Esmonde, I. (2009). Mathematics learning in groups: analyzing equity in two cooperative activity structures. Journal of the Learning Sciences, 18(2), 247-284. https://doi.org/10.1080/10508400902797958.

Evans J. (2003). Methods and findings in research on affect and emotion in mathematics education. In M. Mariotti et al. (Eds.), Proceedings of 3rd Conference of European Research in Mathematics Education (CERME-3): Topic Group 3 (Affect and Emotion in Mathematics Education), 28 Feb. – 3 Mar., 2003, Bellaria, Italy.

Evans, J. (2000). Adults' Mathematical Thinking and Emotions: A Study of Numerate Practices. London: Routledge Falmer.

Evans, J. (2006). Affect and emotion in mathematical thinking and learning. In J. Maasz & W. Schloeglmann (Eds), New mathematics education research and practice (pp. 233-256). Rotterdam: Sense Publishers.

Evans, J., Morgan, C., & Tsatsaroni, A. (2006). Discursive positioning and emotion in school mathematics practices. Educational Studies in Mathematics, 63(2), 209-226. https://doi.org/10.1007/s10649-006-9029-1.

Gillies, R.-M. (2003). Structuring co-operative learning experiences in primary school. In R. M. Gillies & A. F. Ashman (eds), Cooperative Learning: the social and intellectual outcomes of learning in groups (pp. 36-53). London and New York: Routledge Falmer.

Hannula, M. (2004). Affect in mathematics education – exploring theoretical frameworks. In M. J. Høines & A. B. Fuglestad (Eds.), Proceedings of the 28th PME International Conference (Vol. 1, pp.125-154). Bergen, Norway.

Heid, M. K., & Blume, G. W. (Eds.). (2008). Research on technology and the teaching and learning of mathematics: Research syntheses. Reston, VA: NCTM.

Hickey, P. (2011). Positioning and identity in the academic literacy experiences of elementary English language learners. Unpublished Ph. D. thesis. The University of Maryland.

Hirschy, A. S., & Wilson, M. E. (2002). The sociology of the classroom and its influence on student learning. Peabody Journal of Education, 77(3), 85-100. https://doi.org/10.1207/S15327930PJE7703_5.

Hoyles, C., & Sutherland, R. (1989). Logo mathematics in the classroom. New York, NY: Routledge.

Kleine, M., Goetz, T., Pekrun, R. & Hall, N. (2005). The structure of students’ emotions experienced during a mathematical achievement test. ZDM, 37(3), 221-225. https://doi.org/10.1007/s11858-005-0012-6.

Lan, H.-G. (2007). A cooperative learning programme to enhance mathematical problem solving performance among secondary three students. The Mathematics Educator, 10(1), 59-80. http://hdl.handle.net/10497/100.

Langer-Osuna, J. M. (2015). From getting “fired” to becoming a collaborator: A case of the construction of identity and engagement in a project based mathematics classroom. Journal of the Learning Sciences, 24(1), 53-92. https://doi.org/10.1080/10508406.2014.944643.

Lewis, G. (2013). Emotion and disaffection with school mathematics. Research in Mathematics Education, 15(1), 70-86. https://doi.org/10.1080/14794802.2012.756636.

Martínez-Sierra, G., & García González, M.D.S. (2014). High school students’ emotional experiences in mathematics classes. Research in Mathematics Education, 16(3), 234-250. https://doi.org/10.1080/14794802.2014.895676.

McLeod, D.B. (1988). Affective issues in mathematical problem solving: Some theoretical considerations. Journal for Research in Mathematics Education, 19(2), 134-141. https://doi.org/10.2307/749407.

McLeod, D.B. (1992). Research on affect in mathematics education: A reconceptualization. In D.A. Grows (Ed.), Handbook of research on mathematics teaching and learning (pp. 575-596). New York: Macmillan.

Meyers, C. (1986). Teaching Students to Think Critically. San Francisco, CA: Jossey-Bass.

Naftaliev, E. (2017). Interactive diagrams used for collaborative learning. In G. Aldon & J. Trgalova (Eds.), Proceedings of the 13th International Conference on Technology in Mathematics Teaching (ICTMT 13) (pp. 32-39), Lyon, France: Ecole Normale Sup´erieure de Lyon.

Nisiyatussani, N., Ayuningtyas, V., Fathurrohman, M., & Anriani, N. (2018). GeoGebra applets design and development for junior high school students to learn quadrilateral mathematics concepts. Journal on Mathematics Education, 9(1), 27-40. https://doi.org/10.22342/jme.9.1.4162.27-40.

Noss, R., & Hoyles, C. (1996). Windows on mathematical meanings. Nordrecht: Kluwer.

Nurwijayanti, A., Budiyono, & Fitriana, L. (2019). Combining Google SketchUp and Ispring Suite 8: A breakthrough to develop geometry learning media. Journal on Mathematics Education, 10(1), 103-116. https://doi.org/10.22342/jme.10.1.5380.103-116.

Polya, G. (1957). How to Solve It: A New Aspect of Mathematical Method. Princeton, NJ: Princeton University Press

Sakr, M., Jewitt, C., & Price, S. (2016). Mobile experiences of historical place: A multimodal analysis of emotional engagement. Journal of the Learning Sciences, 25(1), 51-92. https://doi.org/10.1080/10508406.2015.1115761.

Schoenfeld, A. H. (1991). On mathematics as sense-making: An informal attack on the unfortunate divorce of formal and informal mathematics. In J. F. Voss, D. N. Perkins & J. W. Segal (eds), Informal reasoning and education (pp. 311-343). Hillsdale, NJ: Erlbaum.

Septia, T., & Prahmana, R.C.I. (2018). Improving students spatial reasoning with course lab. Journal on Mathematics Education, 9(2), 327-336. https://doi.org/10.22342/jme.9.2.3462.327-336.

Skog, K., & Andersson, A. (2015). Exploring positioning as an analytical tool for understanding becoming mathematics teachers’ identities. Mathematics Education Research Journal, 27(1), 65-82. https://doi.org/10.1007/s13394-014-0124-9.

Sumpter, L. (2010). Younger students’ conceptions about mathematics and mathematics education. MAVI16 conference, Tallinn University of Applied Sciences, Estonia.

Sunzuma, G., Masocha M., & Zezekwa N. (2013). Secondary school students’ attitudes towards their learning of geometry: A survey of Bindura urban secondary schools. Greener Journal of Educational Research, 3(8), 402-410. http://hdl.handle.net/11196/303.

Swidan, O., & Yerushalmy, M. (2014). Learning the indefinite integral in a dynamic and interactive technological environment. ZDM, 46(4), 517-531. https://doi.org/10.1007/s11858-014-0583-1.

Thiel, J. (2008). The Yin and Yang of Academic Emotions in Undergraduate Mathematics. The 11th Conference on Research on Undergraduate Mathematics. http://sigmaa.maa.org/rume/crume2008/Proceedings/Thiel%20PRE%20LONG.pdf.

Treacy, P., & O’Donoghue, J. (2012). Authentic integration of mathematics and science: a model for integrating Mathematics and Science in 2nd level education. Paper presented at the STEM Annual Conference 2012: Aiming for Excellence in STEM Learning and Teaching, April 12-13, 2012.

Tsatsaroni, A., Evans, J., & Morgan, C. (2007). Pedagogic discourse, positioning and emotion: illustrations from school mathematics. Review of Science, Mathematics and ICT Education, 1(1), 83-105. https://doi.org/10.26220/rev.106.

Webb, N. M., Nemer, K. M., Chizhik, A. W., & Sugrue, B. (1998). Equity issues in collaborative group assessment: Group composition and performance. American Educational Research Journal, 35, 607-651. https://doi.org/10.3102/00028312035004607.

Webel, C. (2010). High school students’ perspectives on collaboration in their mathematics class. In Proceedings of the 26th Annual Meeting of the International Group for the Psychology of Mathematics Education. Columbus: Ohio.

Yamakawa, Y., Forman, E., & Ansell, E. (2005). Role of positioning: The role of positioning in constructing an identity in a third grade mathematics classroom. In K. Kumpulainen, C.E. Hmelo-Silver & M. Cesar (eds), Investigating classroom interaction: Methodologies in action, (pp. 179-201). Rotterdam: Sense Publishers.




DOI: https://doi.org/10.22342/jme.11.1.9057.111-134

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Journal on Mathematics Education
Doctoral Program on Mathematics Education
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