# COMPARING PRIMARY AND SECONDARY MATHEMATICS TEACHERS’ PREFERENCES REGARDING VALUES ABOUT MATHEMATICS TEACHING IN TURKEY AND GERMANY

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## ABSTRACT

This study presents a small part of a larger study investigating Turkish and German mathematics teachers’ and their students’ values (Values in Mathematics Teaching in Turkey and Germany). The main focus of the study was school levels of the teachers working at primary and secondary schools. The interactions related to nationality were also of interest. The methodology employed in this paper was a descriptive study. The participants were 27 German and 33 Turkish teachers. A five-point Likert-type questionnaire was used as data collection instrument. The data were subjected to descriptive and inferential statistics for analysis. Effect size coefficients were also calculated. The results indicated that school levels of the teachers within and between the two nations had a significant effect on the mathematics teachers’ education values. It is thought that these findings may help to show interesting differences in systems in Germany and Turkey.

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comparison German mathematics teachers mathematics school level of teachers Turkish mathematics teachers values## Preview

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## References

- Atweh, B. & Seah, W. T. (2008).
*Theorizing values and their study in mathematics education*. Paper presented at the Australian Association for Research in Education Conference, Fremantle, Australia.Google Scholar - Baba, T., Iwasaki, H., Ueda, A. & Date, F. (2012). Values in Japanese mathematics education: Their historical development.
*ZDM Mathematics Education, 44*, 21–32.Google Scholar - Bishop, A. J. (1988).
*Mathematical enculturation: A cultural perspective on mathematics education*. Dordrecht: Kluwer.CrossRefGoogle Scholar - Bishop, A. J. (1998). Culture, values and assessment in mathematics. In H. S. Park, Y. H. Choe, H. Shin & S. H. Kim (Eds.),
*Proceedings of the ICMI-East Asia Regional Conference on Mathematics Education*(Vol. 1, pp. 27–37). Seoul, Korea: Korea Society of Mathematical Education.Google Scholar - Bishop, A. J. (2004).
*Critical issues in researching cultural aspects of mathematics education*. Paper presented in Discussion Group 2 at the 10th International Congress on Mathematical Education, Copenhagen, Denmark.Google Scholar - Bishop, A. J. (2008). Values in mathematics and science education: Similarities and differences.
*Montana Mathematics Enthusiast, 5*(1), 47–58.Google Scholar - Bishop, A. J., Clarke, B. A., Corrigan, D. J. & Gunstone, R. F. (2005). Teachers’ preferences and practices regarding values in teaching mathematics and science. In P. Clarkson, A. Downton, D. Gronn, M. Horne, A. McDonough, R. Pierce & A. Roche (Eds.),
*Building connections: Research, theory and practice (Proceedings of the Annual Conference of the Mathematics Education Research Group of Australasia)*(pp. 153–160). Sydney, NSW: MERGA.Google Scholar - Bishop, A. J., Clarkson, P., FitzSimons, G. & Seah, W. T. (2001). Studying values in mathematics education: Aspects of the VAMP Project. In J. Novotna (Ed.),
*European research in mathematics education II*(pp. 368–376). Prague: Charles University.Google Scholar - Bishop, A. J. & Whitfield, R. C. (1972).
*Situations in teaching*. Berkshire, England: McGraw-Hill.Google Scholar - Brown, J. D. (2011). Likert items and scales of measurement?
*Shiken: JALT Testing & Evaluation SIG Newsletter, 15*(1), 10–14.Google Scholar - Bush, W. S. (2003).
*Bridging the gap between culture and mathematics: The Appalachian perspective*. Paper presented at the Annual Meeting of the American Association of Colleges of Teacher Education, New Orleans, LA., Retrieved from ERIC database (ED478244).Google Scholar - Cai, J. (2006). U.S. and Chinese teachers’ cultural values of representations in mathematics education. In F. K. S. Leung, K. D. Graf & F. Lopez-Real (Eds.),
*Mathematics education in different cultural traditions: A comparative study of East Asian and the West*(pp. 465–482). New York, NY: Springer.CrossRefGoogle Scholar - Cai, J., Perry, B., Wong, N. & Wang, T. (2009). What is effective teaching: A study of experienced mathematics teachers from Australia, the Chinese mainland, Hong Kong- China, and the United States. In J. Cai, G. Kaiser, B. Perry & N. Wong (Eds.),
*Effective mathematics teaching from teachers’ perspectives*(pp. 1–36). Rotterdam: Sense Publishers.Google Scholar - Chin, C. (2006). Conceptualising pedagogical values and identities in teacher development. A comparison of Taiwanese and Australian mathematics teachers. In F. K. S. Leung, K.-D. Graf & F. J. Lopez-Real (Eds.),
*Mathematics education in different cultural traditions: A comparative study of East Asia and the West*(pp. 537–547). New York, NY: Springer.CrossRefGoogle Scholar - Chin, C. & Lin, F. L. (2000). A case study of a mathematics teacher’s pedagogical values: Use of a methodological frame-work of interpretation and reflection.
*Proceedings of National Science Council Part D: Mathematics, Science, and Technology Education, 10*(2), 90–101.Google Scholar - Chin, C. & Lin, F. L. (2001). Value-loaded activities in mathematics classroom.
*Proceedings of the 25th Conference of the International Group for the Psychology of Mathematics Education*(vol. 2, pp. 249–256). Utrecht, The NetherlandsGoogle Scholar - Clarkson, P. C. (2007). The development of research into values in mathematics education. In G. Leder & H. Forgasz (Eds.),
*Stepping stones for the 21st century*(p. 223). Rotterdam: Sense Publishers.Google Scholar - Clarkson, P. & Bishop, A. J. (1999).
*Values and mathematics education*. Paper presented at the conference of the International Commission for the Study and Improvement of Mathematics Education (CIEAEM51), University College, Chichester, UK.Google Scholar - Cooper, P. J., Calloway-Thomas, C., & Simonds, C. (2007).
*Intercultural communication. A text with readings*. Essex, England: Pearson Education Inc.Google Scholar - Correa, C., Perry, M., Sims, L., Miller, K. & Fang, G. (2008). Connected and culturally embedded beliefs: Chinese and US teachers talk about how their students best learn mathematics.
*Teaching and Teacher Education, 24*, 140–153.CrossRefGoogle Scholar - Dede. Y. (2007). Matematik Okullarda Nasıl Öğretiliyor? Öğrenci Görüsleri Bakımından.
*Abant Đzzet Baysal Üniversitesi Eğitim Fakültesi Dergisi, 7*(2), 17–30.Google Scholar - Dede, Y. (2011). Mathematics Education Values Questionnaire for Turkish Preservice Mathematics Teachers: Design, Validation, and Results.
*International Journal of Science and Mathematics Education, 9*(3), 603–626.Google Scholar - Dede, Y. (2012). Why is Mathematics Valuable? A Comparison of Turkish and German Mathematics Teachers.
*Mathematics Education Bulletin- BOLEMA, 26*(44), 1171–1206.Google Scholar - Dede, Y. (2013).Examining the Underlying Values of Turkish and German Mathematics Teachers’ Decision Making Processes in Group Studies.
*Educational Sciences: Theory & Practice, 13*(1), 670–706.Google Scholar - Denscombe, M. (2010).
*The good research guide for small-scale social research projects*(4th ed.). Mc Graw Hill, Glasgow.Google Scholar - Dretske, F. (1995). Mental events as structuring causes of behavior. In J. Heil & A. Meele (Eds.),
*Mental causation*(pp. 122–123). Oxford: Clarendon.Google Scholar - Durmuş, S. & Bıçak, B. (2006).
*A scale for mathematics and mathematical values of pre-service teachers*. Paper presented at the Third International Conference on the Teaching of Mathematics (ICTM 3), Istanbul, Turkey.Google Scholar - Ernest, P. (1995). Values, gender and images of mathematics: A philosophical perspective.
*International Journal of Mathematical Education in Science and Technology, 26*(3), 449–462.CrossRefGoogle Scholar - Ernest, P. (1998). Images of mathematics, values, and gender: A philosophical perspective. In C. Keitel (Ed.),
*Social justice and mathematics education*(pp. 45–58).*Proceedings of the 25th Conference of the International Group for the Psychology of Mathematics Education*. Utrecht, The Netherlands. 2: 249–256.Google Scholar - Ernest, P. (2007). The philosophy of mathematics, values and Keralese mathematics.
*The Montana Mathematics Enthusiast, 4*(2), 174–187.Google Scholar - Ernest, P. (2008). Epistemology plus values equals classroom image of mathematics.
*The Philosophy of Mathematics Education Journal, 23*, 12.Google Scholar - Ertmer, P. A., Gopalakrishnan, S. & Ross, E. M. (2001). Technology-using teachers: Comparing perceptions of exemplary technology use to best practice.
*Journal of Research on Computing in Education*. Available online at http://www.iste.org/Content/NavigationMenu/Publications/JRTE/Issues/Volume331/Number5Summer2001/jrce-33-5-ertmer.pdf. - Fasheh, M. (1982). Mathematics, culture, and authority.
*For the Learning of Mathematics, 3*(2), 2–8.Google Scholar - Field, A. (2002).
*Discovering statistics using SPSS*. London, UK: Sage.Google Scholar - FitzSimons, G., Seah, W., Bishop, A. J. & Clarkson, P. (2001). Beyond numeracy: Values in the mathematics classroom.
*24th Annual MERGA Conference*, Sydney, Australia.Google Scholar - Frade, C. & Machado, M. C (2008). Culture and affect: Influences of the teachers’ values on students’ affect. In O. Figueras, J. L. Cortina, S. Alatorre, T. Rojano & A. Sepúlveda (Eds.),
*Proceedings of the Joint Meeting of PME 32 and PME-NA XXX,*(vol. 3, pp. 33–40), Morelia, Mexico.Google Scholar - Gellert, U. (2000). Mathematics instruction in safe space: Prospective elementary teachers’ views of mathematics education.
*Journal of Mathematics Teacher Education, 3*(3), 251–270.CrossRefGoogle Scholar - Gravetter, F. J. & Forzano, L. B. (2008).
*Research methods for the behavioral sciences*. Thousand Oaks, CA: Cengage.Google Scholar - Grigutsch, S., Raatz, U. & Törner, G. (1998). Einstellungen gegenüber Mathematik bei Mathematiklehrern.
*Journal für Mathematik-Didaktik, 19*(1), 3–45.CrossRefGoogle Scholar - Gudmunsdottir, S. (1991). Values in pedagogical content knowledge.
*Journal of Teacher Education, 41*(3), 44–52.CrossRefGoogle Scholar - Hill, B. V. (1991).
*Values education in Australian schools*. Melbourne: Australian Council for Educational Research.Google Scholar - Hofstede, G. (2009).
*Geert Hofstede’s cultural dimensions*. Retrieved November 25, 2011 from http://www.geert-hofstede.com/hofstedegermany.shtml - Hofstede, G. H. (1980).
*Culture consequences: International differences in work-related values*. London: Sage.Google Scholar - Howard, P., Perry, B. & Lindsay, M. (1997). Secondary mathematics teachers beliefs about the learning and teaching of mathematics. In F. Biddulph & K. Carr (Eds.),
*People in mathematics education*(pp. 231–238). NZ: Rotorua.Google Scholar - Jaccard, J. & Wan, C. K. (1996).
*LISREL approaches to interaction effects in multiple regression*. Thousand Oaks, CA: Sage.Google Scholar - Kaiser, G. (2006). The mathematical beliefs of teachers about applications and modelling-results of an empirical study. In J. Novotná, H. Moraová, M. Krátká & N. Stehlíková (Hrsg.).
*Proceedings of the 30th Conference of the Int. Group for the Psychology of Mathematics Education (PME)*, (vol. 3, pp. 393–400). Prague: Charles University.Google Scholar - Lancaster, D. L. (2006). Values in mathematics. http://www.curriculum.edu.au/verve/resources/LeighLancasterValuesmaths.pdf. Accessed 23 August 2008.
- Leder, G. C. & Forgasz, H. J. (2002). Measuring mathematical beliefs and their impact on the learning of mathematics: A new approach. In G. Leder, E. Pehkonen & G. Törner (Eds.),
*Beliefs: A hidden variable in mathematics educations?*(pp. 95–113). Dordrecht: Kluwer.CrossRefGoogle Scholar - Lee, W. O. (2001). Moral perspectives on values, culture and education. In J. Cairns, D. Lawton & R. Gardner (Eds.),
*Values, culture and education*(pp. 27–45). London: Kogan.Google Scholar - Leu, Y. C. & Wu, C. J. (2000). An elementary teacher’s pedagogical values in mathematics: Clarification and change. In W. S. Horng & F.-L. Lin (Eds.),
*Proceedings of the HPM 2000 Conference: History in mathematics education: Challenges for a new millennium*(Vol. 2, pp. 178–195). Taipei: National Taiwan Normal University.Google Scholar - Lin, F. C., Wang, C. Y., Chin, C. & Chang, G. Y. (2006). Why student teachers teach or do not teach the professed values? In J. Novotna, H. Moraova, M. Kratka & N. Stehlikova (Eds.),
*Proceedings of the 30th Conference of the International Group for the Psychology of Mathematics Education (PME 30)*(Vol. 4, pp. 81–88). Prague, Czech Republic: Charles University.Google Scholar - Maass, K. (2009). What are teacher’s beliefs about effective mathematics teaching? A qualitative study of secondary school teachers in germany. In J. Cai, G. Kaiser, B. Perry & N. Y. Wong (Eds.),
*Effective mathematics teaching from teachers’ perspectives. National and cross-national studies*. Rotterdam, The Netherlands: Sense Publishers.Google Scholar - Ocean, J. (2005). Who cares?: Students’ values and the mathematics curriculum.
*Curriculum Matters, 1*, 130–151.Google Scholar - Pallant, J. (2007).
*SPSS survival manual*. New York: Open University Press.Google Scholar - Patton, M. (1990).
*Qualitative evaluation and research methods*. Beverly Hills, CA: Sage.Google Scholar - Perry, B., Howard, P. & Tracey, D. (1999). Head mathematics teachers’ beliefs about the learning and teaching of mathematics.
*Mathematics Education Research Journal, 11*, 39–57.CrossRefGoogle Scholar - Perry, B., Wong, N. Y., & Howard, P. (2006). Comparing primary and secondary mathematics teachers’ beliefs about mathematics, mathematics learning and mathematics teaching in Hong Kong and Australia. In K. D. Graf, F. K. S. Leung, & F. Lopez-Real (Eds.),
*Mathematics education in different cultural traditions: A comparative study of East Asia and the West*(pp. 435–448). New York: Springer.Google Scholar - Rahmenlehrplan für die Gymnasiale Oberstufe [RGO]. (2006). Berlin. Wissenschaft und Technik Verlag. GermanyGoogle Scholar
- Rahmenlehrplan für die Sekundarstufe-I [RSS]. (2006). Berlin. Wissenschaft und Technik Verlag. GermanyGoogle Scholar
- Rahmenplan Grundschule Mathematik [RGM]. (2004). Berlin. Wissenschaft und Technik Verlag. GermanyGoogle Scholar
- Rattray, J. & Jones, M. C. (2007). Essential elements of questionnaire design and development.
*Journal of Clinical Nursing, 16*, 234–243.CrossRefGoogle Scholar - Rokeach, M. (1973).
*The nature of human values*. New York, NY: The Free Press.Google Scholar - Rosnow, R. L. & Rosenthal, R. (1996).
*Beginning behavioral research: A conceptual primer*(2nd ed.). Englewood Cliffs, NJ: Prentice-Hall.Google Scholar - Sam, L. C. (2003). Cultural differences and mathematics learning in Malaysia.
*The Mathematics Educator, 7*(1), 110–122.Google Scholar - Sam, L. C. & Ernest, P. (1997).
*Values in mathematics education: What is planned and what is espoused?*Paper presented at the Conference of the British Society for Research into Learning Mathematics, Nottingham, U.K.Google Scholar - Seah, W. T. (2002). Exploring teacher clarification of values relating to mathematics education. In C. Vale, J. Roumeliotis & J. Horwood (Eds.),
*Valuing mathematics in society*(pp. 93–104). Brunswick, Australia: Mathematical Association of Victoria.Google Scholar - Seah, W. T. (2003).
*The professional socialisation of teachers in transition: A values perspective*. International Education Research Conference AARE-NZARE, Auckland, New Zealand.Google Scholar - Seah, W. T. (2008). Valuing values in mathematics education. In P. Clarkson & N. Presmeg (Eds.),
*Critical issues in mathematics education: Major contributions of Alan Bishop*(pp. 239–252). New York: Springer.CrossRefGoogle Scholar - Seah, W. T. (2011). Study 3 What I find important (in maths learning):
*Discussion paper.*Unpublished manuscript. Melbourne, Australia.Google Scholar - Seah, W. T. & Bishop, A. J. (1999). Realizing a mathematics education for nation-building in Southeast Asia in the new millennium [CD-ROM]. In S. P. Loo (Ed.),
*Proceedings of the MERA-ERA Joint Conference*(vol. 3, pp. 1241–1249). Malaysia and Singapore: Malaysian Educational Research Association and Educational Research Association Singapore.Google Scholar - Seah, W. T. & Bishop, A. J. (2000).
*Values in mathematics textbooks: A view through two Australasian regions*. Paper Presented at the Annual Meeting of the American Educational Research Association, New Orleans, LA.Google Scholar - Seah, W. T. & Bishop, A. J. (2002). Values, mathematics and society: Making the connections. In C. Vale, J. Roumeliotis & J. Horwood (Eds.),
*Valuing mathematics in society*(pp. 105–113). Brunswick, Australia: Mathematical Association of Victoria.Google Scholar - Seah, W. T. & Peng, A. (2012). What students outside Asia value in effective mathematics lessons: A scoping study.
*ZDM Mathematics Education, 44*, 71–82.CrossRefGoogle Scholar - Stigler, J. W. & Perry, M. (1988). Cross cultural studies of mathematics teaching and learning: recent findings and new directions. In D. A. Grouws & T. J. Cooney (Eds.),
*Perspectives on research on effective mathematics teaching*(pp. 194–223.). Mahwah, NJ: ErlbaumGoogle Scholar - Swadener, M. & Soedjadi, R. (1988). Values, mathematics education and the task of developing pupils’ personalities: An Indonesian perspective.
*Educational Studies in Mathematics, 19*(2), 193–208.CrossRefGoogle Scholar - Thompson, A. G. (1992). Teachers’ beliefs and conceptions: A synthesis of the research. In D. A. Grouws (Ed.),
*Handbook of research on mathematics teaching and learning*(pp. 127–146). New York, NY: Macmillan.Google Scholar - Törner, G. (1997). Views of German mathematics teachers on mathematics. In J. A. Dossey & J. O. Swafford, et al. (Eds.),
*Proceedings of the 19th Annual Meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education*at Illinois University Bloomington/Normal (vol. I, pp. 275–281). Columbus (OH): ERIC Clearinghouse for Science, Mathematics and Environmental Education.Google Scholar - Van Slyke, J. A. (2011).
*The cognitive science of religion*. Burlington, VT: Ashgate.Google Scholar - Vickers, A. (1999). Comparison of an ordinal and a continuous outcome measure of muscle soreness.
*International Journal of Technology Assessment in Health Care, 15,*709–716.Google Scholar - Wang, C.Y., Lin, F.-C., Chin, C. & Chang, G.Y. (2006).
*Re-examining the category framework for describing mathematics teachers’ values*. Paper presented at the Taiwan 2006 Annual Conference of Educational Research, Hwa-Lien: National Hwa-Lien University of Education.Google Scholar - Wilson, M. S. & Cooney, T. (2002). Mathematics teacher change and development: The role of beliefs. In G. Leder, E. Pehkonen & G. Törner (Eds.),
*Beliefs: A hidden variable in mathematics education*(pp. 127–148). Dordrecht: Kluwer.Google Scholar - Yero, J. L. (2002).
*Teaching in mind: How teacher thinking shapes education*. Hamilton, MT: MindFlight.Google Scholar - Yore, L. D., Pimm, D. & Tuan, H.-L. (2007). The literacy component of mathematical and scientific literacy.
*International Journal of Science and Mathematics Education, 5*(4), 559–589.CrossRefGoogle Scholar