Mathematics Teacher Candidates’ Metaphors about the Concept of “Mathematics”

Ahmet Erdogan, Derya Ozlem Yazlik, Cengiz Erdik
4.230 668

Abstract


The main purpose of this study was to research mathematics teacher candidates’ perceptions about the concept of “mathematics” through the use of metaphors. The research is conducted during 2012-2013 academic year, on a group of 111 mathematics teacher candidates at the Education Faculty of a University in Turkey. To collect the research data, each participant was asked to complete the prompt “Mathematics is like . . . because . . .” The content analysis technique was used in this study in order to evaluate the data collected. As a result of the data analysis, it was found that 67 valid metaphors were developed by the participants. These metaphors were grouped under 14 categories. According to these categories, about 77% of mathematics teacher candidates perceived mathematics as “Limitless”, “Interconnected”, “Basically needed”, “Fun”, “Cumulative”, “Indispensable” figure and as a figure which laid the “foundation for other sciences”. The remaining 23% perceived mathematics as “Hard-to-understand”, “Guiding”, “Universal language”, “Requiring continuity”, “Yet to be solved”, “Mind developing” and “Having single correct answer.”


Keywords


Metaphor, Mathematics, Teacher candidates, Attitude.

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DOI: http://dx.doi.org/10.18404/ijemst.55442

References


Alger, C. (2009). Secondary Teachers' Conceptual Metaphors of Teaching and Learning: Changes over the Career Span. Teaching and Teacher Education, 25(5), 743-751

Carlson, T. (2001). Using metaphors to enhance reflectiveness among pre-service teachers. Journal of Physical Education, Recreation and Dance, (JOPERD), 72 (1), 49-53.

Ernest, P. (2010). Mathematics and Metaphor. An International Journal of Complexity and Education, 7 (1), 98Guerrero, M. C. M. & Villamil, O. S. (2002). Metaphorical conceptualizations of ESL teaching and learning. Language Teaching Research, 6, 95-120.

Güler, G., Öçal, M. F., & Akgün, L. (2011). Pre-service mathematics teachers’ metaphors about mathematics teacher concept. Procedia Social and Behavioral Sciences, 15, 327–330.

Güler, G., Akgün, L., Öçal, M. F., & Doruk, M. (2012). Pre-service mathematics teachers’ metaphors about mathematics concept. Journal of Research in Education and Teaching, 1(2), 25-29.

Güveli, E., İpek, A. S., Atasoy, E., & Güveli, H. (2011). Prospective Primary Teachers’ Metaphorical Perceptions Towards Mathematics. Turkish Journal of Computer and Mathematics Education, 2(2), 1401

Kılıç, Ç. (2011). Belgian and Turkish pre-service primary school mathematics teachers’ metaphorical thinking about mathematics. CERME 7, Rzeszow, Poland.

Kovecses, Z. (2010). Metaphor: A practical introduction. New York: Oxford University Pres.

Lakoff, G. & Nunez, R. E. (2000). Where mathematics comes from: How the embodied mind brings mathematics into being. New York: Basic books.

Lakoff, G. & Johnson, M. (2003). Metaphors we live by. Chicago: University of Chicago Press.

Leavy, A. M., Mc Sorley, F. A., & Bote, L, A. (2007). An examination of what metaphor construction reveals about the evolution of preservice teachers’ beliefs about teaching and learning. Teaching and Teacher Education, 23, 1217-1233.

Lim, C. S. & Ernest, P. (1998). A survey of public images of mathematics. BSRLM Proceedings, 18(1), 7-14.

Lim, C. S. (1999). Using metaphor analysis to explore adults’ images of mathematics. Philosophy of Mathematics Education Journal 12.

Marton, F. (1981). Phenomenography: Describing conceptions of the world around us. Instructional Science, 10, 177–200.

Marton, F. & Pong, W. (2005). On the unit of description in phenomenography. Higher Education Research and Development, 24(4), 335–348.

Noyes, A. (2006). Using metaphor in mathematics teacher preparation. Teaching and Teacher Education, 22, 898-90

Picker, S. H. & Berry, J. S. (2000). Investigating pupil’s images of mathematicians. Educational Studies in Mathematics, 43(1), 65-94.

Raymond, A. M. (1997). Inconsistency between begining elemetary school teacher’s mathematics beliefs and teaching practice. Journal for Research in Mathematics Education, 28(5), 550-576.

Reeder, S., Utley, J., & Cassel, D. (2009). Using metaphors as a tool for examining preservice elementary teachers’ beliefs about mathematics teaching and learning. School Science and Mathematics, 109(5), 290-2

Rock, D. & Shaw, J. M. (2000). Exploring children’s thinking about mathematicians and their work. Teaching Children Mathematics, 6(9), 550-555.

Romanyshyn, R. D. (2001). Mirror and metaphor: Images and stories of psychological life. Pittsburgh: Trivium. Saban, A. (2004). Entry level prospective classroom teachers’ metaphors about the concept of “teacher”. Türk Eğitim Bilimleri Dergisi, 2(2), 131-155.

Saban, A., Koçbeker, B. N., & Saban, A. (2006). An investigation of the concept of teacher among prospective teachers through metaphor analysis. Kuram ve Uygulamada Eğitim Bilimleri, 6(2), 461–522.

Saban, A. (2009). Öğretmen Adaylarinin Öğrenci Kavramina ilişkin Sahip Oldukları Zihinsel imgeler. Türk Eğitim Bilimleri Dergisi, 7(2), 281-326.

Schinck, A. G., Neale, H. W., Pugalee, D.K., & Cifarelli, V.V. (2008). Structures, Journeys, and Tools: Using metaphors to unpack student beliefs about mathematics. School Science and Mathematics, 594-599.

Sterenberg, G. (2008). Investigating teachers’ images of mathematics. Journal of Mathematics Teacher Education, 11, 89-105.

Öztürk, Ç. (2007). Sosyal bilgiler, sınıf ve fen bilgisi öğretmen adaylarının “coğrafya” kavramına yönelik metafor durumları. Ahi Evran Üniversitesi Kırşehir Eğitim Fakültesi Dergisi (KEFAD), 8(2), 55-69.

Uçar, Z., Pişkin, M., Akkaş, E. N., & Taşçı, D. (2010). Elementary students’ beliefs about mathematics, mathematics’ teachers and mathematicians. Education and Science, 35(155), 132-144.

Yıldırım, A. & Şimşek, H. (2005). Sosyal Bilimlerde Nitel Araştırma Yöntemleri (Genişletilmiş 5. Baskı). Ankara: Seçkin Yayıncılık.

Yob, I. M. (2003). Thinking constructively with metaphors. Studies in Philosophy and Education, 22, 127–138.




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