Skip to main content

Advertisement

Log in

Attitudes of Kindergarten Educators about Math

  • Original Paper
  • Published:
Journal für Mathematik-Didaktik Aims and scope Submit manuscript

Abstract

The following article deals with results of a questionnaire survey, in which emotions, attitudes, and beliefs of professionals, working in German kindergarten, about “mathematics,” “teaching and learning of mathematics,” and “mathematics in the early years” were evaluated. After a quantitative analysis, it can be stated that a schematic view of mathematics in general prevailed, and active and constructive learning of mathematics was highly agreed upon. The answers to the “open questions” about learning goals and “daily activities in kindergarten” revealed a wide range and also different views of early mathematics in kindergarten. Based on the results, consequences for preservice and in-service kindergarten educators’ education are revealed as well as impacts on concepts of early mathematics in kindergarten.

Zusammenfassung

In diesem Beitrag werden Ergebnisse einer Fragebogenstudie vorgestellt, in der Einstellungen von Fachkräften in vorschulischen Einrichtungen bezüglich „Mathematik“, „Lehren und Lernen von Mathematik“ und „Mathematik im Elementarbereich“ analysiert werden. Es kann festgestellt werden, dass eine formal-schematische Sichtweise bei den Vorstellungen zum Begriff „Mathematik“ bei den Fachkräften vorherrscht und der konstruktive Aspekt von Lernen große Zustimmung erfährt. Antworten zu offenen Fragen über die Alltagspraxis und erwartete Kompetenzen bei Kindergartenkindern legen sowohl ein breites Spektrum offen als auch verschiedene Vorstellungen über „Mathematik im Elementarbereich“. Auf Grundlage der Ergebnisse werden Konsequenzen für die Aus- und Weiterbildung für Fachkräfte im Elementarbereich sowie konzeptionelle Überlegungen zu Mathematik im Elementarbereich aufgezeigt.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3

Similar content being viewed by others

References

  • Ackerman, D. J., & Barnett, W. S. (2005). Prepared for kindergarten: what does “readiness” mean? New Brunswick: National Institute for Early Education Research, Rutgers University.

    Google Scholar 

  • Baroody, A. J., Lai, M.-L., & Mix, K. S. (2006). The development of young children’s number and operation sense and its implications for early childhood education. In B. Spodek & O. Saracho (Eds.), Handbook of research on the education of young children (pp. 187–221). Mahwah: Lawrence Erlbaum Associates.

    Google Scholar 

  • Bayerisches Staatsministerium für Arbeit, Sozialordnung, Familien und Frauen & Staatsinstitut für Frühpädagogik München (2006). Der Bayerische Bildungs- und Erziehungsplan für Kinder in Tageseinrichtungen bis zur Einschulung. Weinheim: Beltz.

    Google Scholar 

  • Benz, C. (2008). Zahlen sind eigentlich nichts Schlimmes. In E. Vásárhelyi (Ed.), Beiträge zum Mathematikunterricht 2008. Vorträge auf der 42. Tagung für Didaktik der Mathematik vom 13.3.2008 bis 18.3.2008 in Budapest (pp. 43–46). Münster: WTM Verlag.

    Google Scholar 

  • Benz, C. (2009). Numbers are actually not bad. In Sixth conference of European research in mathematics education 2009. Retrieved from http://www.inrp.fr/publications/edition-electronique/cerme6/wg14-02-benz.pdf. Accessed 13 May 2012.

    Google Scholar 

  • Benz, C. (2010). Kindergarten educators and maths. In M. F. Pinto & T. F. Kawasaki (Eds.), Proceedings of the 34th conference of the international group for psychology of mathematics education (Vol. 2, pp. 201–207). Belo Horizonte: PME.

    Google Scholar 

  • Borko, H., Eisenhart, M., Brown, C., Underhill, R., Jones, D., & Agard, P. (1992). Learning to teach hard mathematics: do novice teachers and their instructors give up too easily? Journal for Research in Mathematics Education, 23(3), 194–222.

    Article  Google Scholar 

  • Bowman, B. (2001). Facing the future. In NAEYC at 75. Reflections on the past. Challenges for the future. Washington: NAEYC.

    Google Scholar 

  • Bredekamp, S., & Copple, C. (1997). Developmentally appropriate practice in early childhood programs. Washington: NAEYC (revised edition).

    Google Scholar 

  • Bromme, R., & Tillema, H. (1995). Fusing experience and theory: the structure of professional knowledge. Leaming and Instruction, 5(4), 261–267.

    Article  Google Scholar 

  • Charlesworth, R., Hart, C. H., Burts, D. C., Thomasson, R. H., & Mosley, J. (1993). Measuring the developmental appropriateness of kindergarten teachers’ beliefs and practices. Early Childhood Research Quarterly, 8(3), 255–276.

    Article  Google Scholar 

  • Cobb, P. (1988). The tension between theories of language and instruction in mathematics education. Educational Psychologist, 23(2), 87–103.

    Article  Google Scholar 

  • Copley, J. V. (2004). The early childhood collaborative: a professional development model to communicate and implement the standard. In D. H. Clemens & J. Sarama (Eds.), Engaging young children in mathematics. Standards for early childhood mathematics education (pp. 401–414). Mahwah: Lawrence Erlbaum Associates.

    Google Scholar 

  • Copley, J. V., & Padron, Y. (1998). Preparing teachers of young learners: professional development of early childhood teachers in mathematics and science. In Forum on early childhood science, mathematics, and technology education (pp. 117–129). Washington: American Association for the Advancement of Science.

    Google Scholar 

  • Dionne, J. J. (1984). The perception of mathematics among elementary school teachers. In J. M. Moser (Ed.), Proceedings of the 6th conference of the North American chapter of the international group for the psychology of mathematics education (pp. 223–228). Madison: University of Wisconsin.

    Google Scholar 

  • Dornheim, D. (2008). Prädiktion von Rechenleistung und Rechenschwäche: Der Beitrag von Zahlen-Vorwissen und allgemein-kognitiven Fähigkeiten. Berlin: Logos.

    Google Scholar 

  • DTS—Deutsche Telekomstiftung (Ed.) (2010). Mathematik entlang der Bildungskette. Lünen: Schmidt.

    Google Scholar 

  • Ehmke, T., & Baumert, J. (2007). Soziale Herkunft – Familiäre Lebensverhältnisse und Kompetenzerwerb. In PISA-Konsortium Deutschland, M. Prenzel, C. Artelt, J. Baumert, W. Blum, M. Hammann, E. Klieme, & R. Pekrun (Eds.), PISA 2006. Die Ergebnisse der dritten internationalen Vergleichsstudie (pp. 309–335). Münster: Waxmann.

    Google Scholar 

  • Einarsdottir, J. (2001). Tradition and trends: two Icelandic preschool teachers’ practices, goals, and beliefs about early childhood education. Paper presented at the Annual Meeting of the American Educational Research Association, Seattle, WA.

  • Einarsdottir, J. (2003). When the bell rings we have to go inside: preschool children’s views on the primary school. European Early Childhood Educational Research Journal. Transitions. Themed Monograph Series, 1 35–50.

  • Ernest, J. (1991). The philosophy of mathematics education. Hampshire: Falmer Press.

    Google Scholar 

  • Ertle, B. B., Ginsburg, H. P., Cordero, M. I., Curran, T. M., Manlapig, K., & Morgenlander, M. (2008). The essence of early childhood mathematics education and the professional development needed to support it. In A. Dowker (Ed.), Mathematical difficulties. Psychology and intervention (pp. 59–83). Oxford: Elsevier Science.

    Google Scholar 

  • Fennema, E., Carpenter, T. P., & Loef, M. (1990). Teacher belief scale: cognitively guided instruction project. Madison: University of Wisconsin.

    Google Scholar 

  • Fang, Z. (1996). A review of research on teacher beliefs and practices. Educational Research, 38(1), 47–65.

    Article  Google Scholar 

  • Furinghetti, F., & Pehkonen, E. (2000). A comparative study on students’ beliefs concerning their autonomy in doing mathematics. Nomad, 8(4), 7–26.

    Google Scholar 

  • Frank, A., Rossbach, H. G., & Sechtig, J. (2006). KIDZ – Elementare Bildungsförderung ohne Verschulung des Kindergartens: die wissenschaftliche Auseinandersetzung mit einer Zukunftsvision. KiTa aktuell BY, 18(2), 28–32.

    Google Scholar 

  • Freudenthal, H. (1982). Mathematik – Eine Geisteshaltung. Grundschule, 14(4), 140–142.

    Google Scholar 

  • Gasteiger, H. (2010). Elementare mathematische Bildung im Alltag der Kindertagesstätte: Grundlegung und Evaluation eines kompetenzorientierten Förderansatzes. Münster: Waxmann.

    Google Scholar 

  • Ginsburg, H. P., Lee, J. S., & Boyd, J. S. (2008). Mathematics education for young children: what it is and how to promote it. Social Policy Report, 22(1), 3–23.

    Google Scholar 

  • Goldin, G., Rösken, B., & Törner, G. (2009). Beliefs—no longer a hidden variable in mathematical teaching and learning processes. In J. Maaß& W. Schlöglmann (Eds.), Beliefs and attitudes in mathematics education. New research results (pp. 1–18). Rotterdam: Sense.

    Google Scholar 

  • Greenes, C. (2004). Ready to learn: developing young children’s mathematical powers. In J. Copley (Ed.), Mathematics in the early years (3rd edn.) (pp. 39–47). Reston: NCTM.

    Google Scholar 

  • Grigutsch, S., Raatz, U., & Törner, G. (1998). Einstellungen gegenüber Mathematik bei Mathematiklehrern. Journal für Mathematik-Didaktik, 19(1), 3–39.

    Google Scholar 

  • Handal, B., & Herrington, A. (2003). Mathematics teachers’ beliefs and curriculum reform. Mathematics Education Research Journal, 15(1), 59–69.

    Article  Google Scholar 

  • Kowalski, K., Pretti-Frontczak, K., & Johnson, L. (2001). Preschool teachers’ beliefs concerning the importance of various developmental skills and abilities. Journal of Research in Childhood Education, 16(1), 5–14.

    Article  Google Scholar 

  • Krummheuer, G. (2012). The relationship between cultural expectation and the local realization of a mathematics learning environment. Retrieved from: http://cermat.org/poem2012/main/proceedings_files/Krummheuer-POEM2012.pdf. Accessed 13 May 2012.

  • Kultusministerkonferenz (2005). Bildungsstandards im Fach Mathematik für den Primarbereich. Beschluss vom 15.10.2004. München: Luchterhand, Wolters Kluwer Deutschland.

    Google Scholar 

  • Liljedhal, P. (2009). Teacher insights into the relationship between beliefs and practice. In J. Maaß& W. Schlöglmann (Eds.), Beliefs and attitudes in mathematics education. New research results (pp. 33–44). Rotterdam: Sense.

    Google Scholar 

  • Leder, G. C. (2007). Beliefs: what lies behind the mirror? TMME Monograph, 3(4), 39–50.

    Google Scholar 

  • Leder, G., Pehkonen, E., & Törner, G. (Eds.) (2002). Beliefs. A hidden variable in mathematics education (pp. 13–57). Dordrecht: Kluwer.

    Google Scholar 

  • Lee, J. S., & Ginsburg, H. P. (2007). What is appropriate mathematics education for four-year-olds? Pre-kindergarten teachers’ belief. Journal for Early Childhood Research, 5(1), 2–31.

    Article  Google Scholar 

  • Lee, J. S., & Ginsburg, H. P. (2009). Early childhood teachers’ misconceptions about mathematics education for young children in the United States. Australasian Journal of Early Childhood, 34(4), 37–45.

    Google Scholar 

  • Marcon, R. (1999). Differential impact of preschool models on development and early learning of inner-city children: a three cohort study. Developmental Psychology, 35(2), 358–375.

    Article  Google Scholar 

  • Ministerium für Kultus, Jugend und Sport (2006). Orientierungsplan für Bildung und Erziehung in baden-württembergischen Kindergärten – Pilotphase 2006. Weinheim: Beltz.

    Google Scholar 

  • Ministerium für Schule, Jugend und Kinder des Landes Nordrhein-Westfalen (2003). Bildungsvereinbarung NRW. Fundament stärken und erfolgreich. https://services.nordrheinwestfalendirekt.de/broschuerenservice/download/1343/bildungsvereinbarung.pdf. Accessed 13 May 2012.

  • Ngan Ng, S., Lopez-Real, F., & Rao, N. (2003). Early mathematics teaching: the relationship between teacher’s belief and classroom practices. In N. A. Pateman, B. J. Dougherty, & J. Zilliox (Eds.), Proc. 27th conference of the international group for the psychology of mathematics education (pp. 213–220). Honolulu: PME.

    Google Scholar 

  • Op’t Eynde, P., De Corte, E., & Verschaffel, L. (2002). Framing students mathematics-related beliefs: a quest for conceptual clarity and a comprehensive categorization. In G. Leder, E. Pehkonen, & G. Törner (Eds.), Beliefs. A hidden variable in mathematics education (pp. 13–57). Dordrecht: Kluwer.

    Google Scholar 

  • Pehkonen, E., & Törner, G. (1996). Mathematical beliefs and different aspects of their meaning. International Reviews on Mathematical Education (ZDM), 28(4), 101–108.

    Google Scholar 

  • Peter-Koop, A. (2009). Orientierungspläne Mathematik für den Elementarbereich – ein Überblick. In M. Grüßing & A. Heinze (Eds.), Mathematiklernen vom Kindergarten bis zum Studium. Kontinuität und Kohärenz als Herausforderung für den Mathematikunterricht (pp. 47–52). Münster: Waxmann.

    Google Scholar 

  • Peter-Koop, A., & Grüßing, M. (2007). Bedeutung und Erwerb mathematischer Vorläuferfähigkeiten. In C. Brokmann-Nooren, I. Gereke, H. Kiper, & W. Renneberg (Eds.), Bildung und Lernen der Drei- bis Achtjährigen (pp. 153–166). Bad Heilbrunn: Klinkhardt.

    Google Scholar 

  • Peter-Koop, A., Hasemann, K., & Klep, J. (2006). Modul G 10: Übergänge gestalten. Retrieved from http://sinus-transfer.uni-bayreuth.de/fileadmin/Materialien/ModulG10_Druckversion_08maerz06.pdf. Accessed 13 May 2012.

  • Presmeg, N. (2012). A dance of instruction with construction in mathematics education. Retrieved from: http://cermat.org/poem2012/main/proceedings_files/Presmeg-POEM2012.pdf. Accessed 13 May 2012.

  • Reinmann-Rothmeier, G., & Mandl, H. (2006). Unterrichten und Lernumgebungen gestalten. In A. Krapp & B. Weidenmann (Eds.), Pädagogische Psychologie. Ein Lehrbuch (pp. 613–658). Weinheim: Beltz.

    Google Scholar 

  • Röbe, E. (2008a). Frühpädagogische Förderung als grundlegende Bildung. Lehren und Lernen, 34(10), 9–14.

    Google Scholar 

  • Röbe, E. (2008b). Übergang von der Kita zur Grundschule: Eine vieldimensionale Entwicklungsaufgabe. Impulsvortrag. Retrieved from http://www.brandenburg.de/media/lbm1.a.4856.de/kongress20080526_03.pdf. Accessed 13 May 2012.

  • Rogoff, B., Paradise, R., Arauz, R. M., Correa-Chávez, M., & Angelillo, C. (2003). Firsthand learning through intent participation. Annual Review of Psychology, 54, 175–203.

    Article  Google Scholar 

  • Royar, T. (2007). Mathematik im Kindergarten: Kritische Anmerkungen zu den neuen ,,Bildungspläne“ für Kindergarteneinrichtungen. mathematica didactica, 30(1), 29–48.

    Google Scholar 

  • Sarama, J., & Clements, D. (2009). Studies in mathematical thinking and learning. Early childhood mathematics education research: learning trajectories for young children (1st edn.). New York: Routledge.

    Google Scholar 

  • Schipper, W. (2009). Handbuch für den Mathematikunterricht an Grundschulen. Braunschweig: Schroedel.

    Google Scholar 

  • Schneider, W. (2008). Entwicklung von der Kindheit bis zum Erwachsenenalter: Befunde der Münchner Längsschnittstudie LOGIK. Weinheim: Beltz.

    Google Scholar 

  • Shulman, L. S. (1986). Those who understand: knowledge growth in teaching. Educational Researcher, 15(2), 4–14.

    Google Scholar 

  • Selter, C. (2006). Adressaten- und Berufsbezug in der Lehrerbildung. Journal für LehrerInnenbildung, 2, 57–64.

    Google Scholar 

  • Skott, J. (2001). The emerging practices of novice teachers: the roles of his school mathematics images. Journal of Mathematics Teacher Education, 4(1), 3–28.

    Article  Google Scholar 

  • Snider, M. H., & Fu, V. R. (1990). The effect of specialized education and job experience on early childhood teachers’ knowledge of developmentally appropriate practice. Early Childhood Research Quarterly, 5(1), 69–78.

    Article  Google Scholar 

  • Spodek, B. (1987). Thought processes underlying preschool teachers’ classroom decisions. Early Child Care and Education, 29(2), 197–208.

    Article  Google Scholar 

  • Steinweg, A. S. (2007). Mathematisches Lernen. In Stiftung Bildungspakt Bayern (Ed.), Das KIDZ- Handbuch. Grundlagen, Konzepte und Praxisbeispiele aus dem Modellversuch ,,KIDZ- Kindergarten der Zukunft in Bayern“ (pp. 136–203). Köln: Wolters Kluwer.

    Google Scholar 

  • Steinweg, A. S. (2008). Zwischen Kindergarten und Schule: Mathematische Basiskompetenzen im Übergang. In F. Hellmich & H. Köster (Eds.), Vorschulische Bildungsprozesse in Mathematik und in den Naturwissenschaften (pp. 143–159). Bad Heilbrunn: Klinkhardt.

    Google Scholar 

  • Stipek, D., & Byler, P. (1997). Early childhood teachers: do they practice what they preach? Early Childhood Research Quarterly, 12(3), 69–78.

    Article  Google Scholar 

  • Stipek, D. J., Givvin, K. B., Salomon, J. M., & MacGyvers, V. L. (2001). Teachers’ beliefs and practices related to mathematics instruction. Teaching and Teacher Education, 17(2), 213–226.

    Article  Google Scholar 

  • Thüringer Ministerium für Bildung Wissenschaft und Kultur (2010). Thüringer Bildungsplan für Kinder bis 10 Jahre. Weimar: Verlag das Netz.

    Google Scholar 

  • Törner, G., & Grigutsch, S. (1994). Mathematische Weltbilder bei Studienanfängern – eine Erhebung. Journal für Mathematik-Didaktik, 15(3/4), 211–252.

    Google Scholar 

  • Thompson, A. G. (1984). The relationship of teachers’ conceptions of mathematics images. Educational Studies in Mathematics, 15(2), 105–127.

    Article  Google Scholar 

  • van Oers, B. (2004). Mathematisches Denken bei Vorschulkindern. In W. E. Fthenakis & P. Oberhümer (Eds.), Frühpädagogik international. Bildungsqualität im Blickpunkt (pp. 313–330). Wiesbaden: VS Verlag für Sozialwissenschaften.

    Chapter  Google Scholar 

  • van Oers, B. (2012). The roots of mathematising in young children’s play. Retrieved from: http://cermat.org/poem2012/main/proceedings_files/vanOers-POEM2012.pdf. Accessed 13 May 2012.

  • White, C. S., Deal, D., & Deniz, C. B. (2004). Teachers’ knowledge, beliefs, and practices and mathematical and analogical reasoning. In L. D. English (Ed.), Mathematical and analogical reasoning of young learners (pp. 127–152). New York: Lawrence Erlbaum Associates.

    Google Scholar 

  • Wilcox-Herzog, A. (2002). Is there a link between teachers’ beliefs and behaviors? Early Education and Development, 13(1), 81 –106.

    Article  Google Scholar 

  • Wilkins, J. M. (2008). The relationship among elementary teachers’ content knowledge, attitudes, beliefs and practice. Journal of Mathematics Teacher Education, 11(2), 139–164.

    Article  Google Scholar 

  • Wittmann, E. C. (2006). Mathematische Bildung. In L. Fried & S. Roux (Eds.), Pädagogik der frühen Kindheit (pp. 205–211). Basel: Weinheim.

    Google Scholar 

  • Wittmann, E. C., & Müller, G. N. (2009). Das Zahlenbuch: Handbuch zur Frühförderung. Stuttgart: Klett.

    Google Scholar 

  • Yackel, E., & Cobb, P. (1996). Sociomathematical norms, argumentation, and autonomy in mathematics. Journal for Research in Mathematics Education, 27(4), 458–477.

    Article  Google Scholar 

  • Yates, S. M. (2006). Elementary teachers’ mathematics beliefs and teaching practices after a curriculum reform. 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 (Vol. 5, pp. 433–440). Prague: PME.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Christiane Benz.

Appendix

Appendix

1.1 6.1 Factor Loading of Different Items Concerning View of Mathematics in General

The factor loadings show a clear picture of assignment of the items to the different scales as can be seen in Table 9.

Table 9 Factor loadings—view of mathematics in general

Only the item Solving problems is a main part of mathematics could be assigned to the scale of formalism and scheme on the basis of factor loading. But from a theoretical point of view, the idea suggests itself to categorize this item into the scale of process. Törner and Grigutsch (1994) could classify this item definitely to the scale of process in their data analysis.

Removing this item in the scale would not increase the score of Cronbach’s Alpha.

1.2 6.2 Factor Loadings of Items Concerning Learning and Teaching Mathematics

Analyzing the factor loading of items concerning the acquisition of mathematics, there is also a clear indication of assignment of the items to the different scales (see Table 10). A reduction of items would not increase the score of Cronbach’s Alpha for both factors.

Table 10 Factor loading—learning and teaching mathematics

Rights and permissions

Reprints and permissions

About this article

Cite this article

Benz, C. Attitudes of Kindergarten Educators about Math. J Math Didakt 33, 203–232 (2012). https://doi.org/10.1007/s13138-012-0037-7

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s13138-012-0037-7

Keywords

Mathematics Subject Classification

Schlüsselwörter

Navigation