This synthesis is designed to provide insight into the most important issues involved in a large-scale implementation of inquiry-based learning (IBL). We will first turn to IBL itself by reflecting on (1) the definition of IBL and (2) examining the current state of the art of its implementation. Afterwards, we will move on to the implementation of IBL and look at its dissemination through resources, professional development, and the involvement of the context. Based on these theoretical reflections, we will develop a conceptual framework for the analysis of dissemination activities before briefly analyzing four exemplary projects. The aim of our analysis is to reflect on the various implementation strategies and raise awareness of the different ways of using and combining them. This synthesis will end with considerations about the framework and conclusions regarding needed future actions.
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Adler, J., & Jaworksi, B. (2009). Public writing in the field of mathematics teacher education. In R. Even & D. Loewenberg Ball (Eds.), The professional education and development of teachers of mathematics—The 15th ICMI study (pp. 249–254). New York: Springer.
Alfieri, L., Brooks, P., Aldrich, N., & Tenenbaum, H. (2011). Does discovery-based instruction enhance learning? Journal of Educational Psychology, 103(1), 1–18.
Altrichter, H., Feldman, A., Posch, P., & Somekh, B. (2008). Teachers investigate their work. An introduction to action research across the professions (2nd ed.). London: Routledge.
Artigue, M., & Blomhøj, M. (2013). Conceptualising inquiry-based education in mathematics. ZDM - The International Journal on Mathematics Education, 45(6) (this issue).
Baistow, K. (2000). Cross-national research: what can we learn from inter-country comparisons? Social Work in Europe, 7(3), 8–13.
Ball, D. L., & Even, R. (2009). Strengthening practice in and research on the professional education. In R. Even & D. Loewenberg Ball (Eds.), The professional education and development of teachers of mathematics—The 15th ICMI Study (pp. 255–260). New York: Springer.
Baumert, J., Kunter, M., Brunner, M., Krauss, S., Blum, W., & Neubrand, M. (2004). Mathematikunterricht aus Sicht der PISA-Schülerinnen und -Schüler und ihrer Lehrkräfte. In Deutsches PISA-Konsortium (Ed.), PISA 2003 – Der Bildungsstand der Jugendlichen in Deutschland – Ergebnisse des zweiten internationalen Vergleichs (pp. 314–354). Opladen: Leske + Budrich.
Begg, A., Davis, B., & Bramald, R. (2003). Obstacles to the dissemination of mathematics education research. In A. J. Bishop, M. A. Clements, C. Keitel, J. Kilpatrick, & F. K. S. Leung (Eds.), Second international handbook of mathematics education (pp. 593–634). Dordrecht: Kluwer.
Bishop, K., & Denleg, P. (2006). Science learning centres and governmental policy for continuing professional development (CPD) in England. Journal of In-service Education, 32(1), 85–102.
Boaler, J. (2008). Bridging the gap between research and practice: international examples of success. In M. Menghini, F. Furinghetti, L. Giarcardi, & F. Arzarella (Eds.), The first century of the International Commission on Mathematics Instruction (1908–2008): Reflecting and shaping the world of mathematics education. Roma: Instituto della Enciclopedia Italiana foundata da Giovanni Treccani.
Bruder, R., & Prescott, A. (2013). Research evidence on the benefits of IBL. ZDM - The International Journal on Mathematics Education, 45(6) (this issue).
Burkhardt, H., & Schoenfeld, A. (2003). Improving educational research: towards a more useful influential and better-funded enterprise. Educational Researcher, 32(9), 3–14.
Chin, E.-T. & Lin, F.-L. (2013). A survey of the practice of a large scale implementation of inquiry-based Mathematics Teaching - from Taiwan's perspective. ZDM - The International Journal on Mathematics Education, 45(6) (this issue).
Cobb, P., & Jackson, K. (2012). Analyzing educational policies: A learning design perspective. The Journal of the Learning Sciences, 21, 487–521.
Cobb, P., Qing, Z., & Dean, C. (2009). Conducting design experiments to support teachers’ learning: A reflection from the field. Journal of the Learning Sciences, 18(2), 165–199.
Dalton, J. H., Elias, M. J., & Wandersman, A. (2007). Community psychology: Linking individuals and communities. Belmont: Thomson-Wadsworth.
Dorier, J. & Garcia, F.J. (2013). Challenges and opportunities for the implementation of inquiry-based learning in day-to-day teaching. ZDM - The International Journal on Mathematics Education, 45(6) (this issue).
Edelson, D. (2006). What we learn when we engage in design: implications for assessing design research. In J. van den Akker, K. Gravemeijer, S. McKenney, & N. Nieveen (Eds.), Educational design research (pp. 100–106). Oxford: Routledge Chapman & Hall.
Engeln, K., Euler, M., & Maaß, K. (2013). Inquiry-based learning in mathematics and science: a comparative baseline study of teachers’ beliefs and practices across 12 European countries. ZDM - The International Journal on Mathematics Education, 45(6) (this issue).
Gräsel, C., & Parchmann, I. (2004). Implementationsforschung–oder der steinige Weg, Unterricht zu verändern. Unterrichtswissenschaft, 32(3), 196–214.
Gravemeijer, K., & Cobb, P. (2006). Design research from a learners’ perspective. In J. van den Akker, K. Gravemeijer, S. McKenney, & N. Nieveen (Eds.), Educational design research (pp. 17–51). Oxford: Routledge Chapman & Hall.
Gueudet, G., Pepin, B., & Trouche, L. (Eds.). (2012). From texts to ‘lived’ resources. New York: Springer.
Gueudet, G., Pepin, B., & Trouche, L. (2013). Textbooks’ design and digital resources. In C. Margolinas (Ed.), Task design in mathematics education. Proceedings of ICMI Study 22 (Vol. 1, pp. 327–337). Oxford.
Gunnarsdottir, G. H., & Palsdottir, G. (2010). The implementation of the intended curriculum in teaching materials: authors’ perspective. In B. Sriraman, C. Bergsten, S. Goodchild, G. Palsdottir, B. Dahl, & L. Haapasalo (Eds.), The first sourcebook on Nordic research in mathematics education (pp. 539–549). Greenwich: IAP Information Age Publishing.
Hart, L. C. (2002). A four-year follow-up study of teachers beliefs after participating in a teacher enhancement project. In G. C. Leder, E. Pehkonen, & G. Törner (Eds.), Beliefs: A hidden variable in mathematics education? (pp. 161–176). Dordrecht/Boston/London: Kluwer.
Joubert, M., & Sutherland, R. (2009). A perspective on the literature: CPC for teachers of mathematics. London: National Centre for Excellence in the Teaching of Mathematics.
Kelly, A. (2006). Quality criteria for design research: evidence and commitments. In J. van den Akker, K. Gravemeijer, S. McKenney, & N. Nieveen (Eds.), Educational design research (pp. 107–118). Oxford: Routledge Chapman & Hall.
Krainer, K. (1998). Some considerations on problems and perspectives of mathematics teacher in-service education. In C. Alsina, J. M. Alvarez, B. Hodgson, C. Laborde, & A. Perez (Eds.), The 8th International Congress on Mathematical Education (ICME 8). Selected Lectures (pp. 303–321). Sevilla: S.A.E.M. Thales.
Krainer, K. (2012). Education of mathematics teacher educators. Encyclopedia of Mathematics Education. Heidelberg: Springer.
Krainer, K., & Zehetmeier, S. (2013). Inquiry-based learning for students, teachers, researchers, and representatives of educational administration and policy. Reflections on a nation-wide initiative fostering educational innovations. ZDM - The International Journal on Mathematics Education, 45(6) (this issue).
Lee, M. M., Chauvot, J., Plankis, B., Vowell, J., & Culpepper, S. (2011). Integrating to learn and learning to integrate: a case study of an online master’s program on science–mathematics integration for middle school teachers. Internet and Higher Education, 14, 191–200.
Linn, M. (2003). Technology and science education: starting points, research programs, and trends. International Journal of Science Education, 25(6), 727–758.
Lipowsky, F., & Rzejak, D. (2012). Lehrerinnen und Lehrer als Lerner – Wann gelingt der Rollen-tausch? Merkmale und Wirkungen wirksamer Lehrerfortbildungen. Schulpädagogik heute, 3(5), 1–17.
Maaß, K. (2009). What are teachers’ beliefs about effective mathematics teaching? In J. Cai, G. Kaiser, B. Perry, & N.-Y. Wong (Eds.), Effective mathematics teaching from teachers’ perspectives: National and cross-national studies (pp. 141–162). Rotterdam: Sense Publishers.
Maaß, K., & Doorman, M. (2013). A model for a widespread implementation of inquiry-based learning. ZDM - The International Journal on Mathematics Education, 45(6) (this issue).
Maaß, K., Garcia, F. J., Mousoulides, N., & Wake, G. (2013). Designing interdisciplinary tasks in an international design community. In C. Margolinas (Ed.), Task design in mathematics education. Proceedings of ICMI Study 22 (Vol. 1, pp. 369–378). Oxford.
Manouchehri, A., & Goodman, T. (2000). Implementing mathematics reform: the challenge within. Educational Studies in Mathematics, 42, 1–34.
Matos, J. F., Powell, A., & Sztajn, P. (2009). Mathematics teachers’ professional development: processes of learning in and from practice. In R. Even & D. Loewenberg Ball (Eds.), The professional education and development of teachers of mathematics (pp. 167–184). New York: Springer.
McDuffie, A. M., & Mather, M. (2006). Reification of instructional materials as part of the process of developing problem-based practices in mathematics education. Teachers and Teaching: theory and practice, 12, 435–459.
McKenney, S., & Reeves, T. (2012). Conducting educational design research. London/New York: Routledge, Taylor & Francis.
Minner, D., Levy, A., & Century, J. (2010). Inquiry-based science instruction—what is it and does it matter? Results from a research synthesis years 1984 to 2002. Journal of Research in Science Teaching, 47(4), 474–496.
Mischo, C., & Maaß, K. (2013). The effect of teacher beliefs on student competence in mathematical modeling—an intervention study. Journal of Education and Training Studies, 1(1), 19–38.
Mousoulides, N. (2013). Facilitating parental engagement in school mathematics and science through inquiry-based learning: an examination of teachers’ and parents’ beliefs. ZDM - The International Journal on Mathematics Education, 45(6) (this issue).
Müller, U. (2003). Weiterbildung der Weiterbildner (Vol. 17). Hamburg: Dr. Kovac.
Müller, F. H., Andreitz, I., Krainer, K., & Mayr, J. (2011). Effects of a research-based learning approach in teacher professional development. In Y. Li & G. Kaiser (Eds.), Expertise in mathematics instruction: An international perspective (pp. 131–149). New York: Springer.
Nastasi, B. K., Varjas, K., Schensul, S. L., Silva, K. T., Schensul, J. J., & Ratnayake, P. (1998). The participatory intervention model: a framework for conceptualizing and promoting intervention acceptability. School Psychology Quarterly, 15(2), 207–232.
National Research Council. (1996). National science education standards. Washington, DC: National Academy Press.
National Research Council (2000). Inquiry and the National Science Education Standards. A guide for teaching and learning. Washington, DC: National Academy Press.
Nieveen, N. (2007). Formative evaluation in educational design research. In T. Plomp & N. Nieveen (Eds.), An introduction in educational design research (pp. 89–102). Enschede: SLO, Netherlands Institute for Curriculum Development.
OECD. (1998). Staying ahead: In-service training and teacher professional development. Paris: OECD.
OECD. (2009). Creating effective teaching and learning environments: First results from TALIS. http://www.oecd.org/dataoecd/17/51/43023606.pdf. Accessed 25 July 2013.
Piaget, J. (1980). The psychogenesis of knowledge and its epistemological significance. In: M. Piattelli-Palmarini (Ed.), Language and learning (pp. 23–54). Cambridge, MA: Harvard University Press.
Ponte, J. P. (2008). Research and practice: bridging the gap or changing the focus? In M. Menghini, F. Furinghetti, L. Giarcardi, & F. Arzarella (Eds.), The first century of the International Commission on Mathematics Instruction. Reflecting and shaping the world of mathematics education (pp. 1908–2008). Roma: Instituto della Enciclopedia Italiana foundata da Giovanni Treccani.
Ponte, J. P., Matos, J. F., Guimaraes, H. M., Leal, L. C., & Canavarro, A. P. (1994). Teachers’ and students’ views and attitudes towards a new mathematics curriculum: a case study. Educational Studies in Mathematics, 26, 347–365.
Putnam, R. T., & Borko, H. (2000). What do new views of knowledge and thinking have to say about research on teachers’ learning? Educational Researcher, 29(1), 4–15.
Robert, A. (2009). Learning in and from practice: comments and reflections. In R. Even & D. Loewenberg Ball (Eds.), The professional education and development of teachers of mathematics (pp. 227–230). New York: Springer.
Rocard, M., Csermely, P., Jorde, D., Lenzen, D., Walberg-Henriksson, H., & Hemmo, V. (2007). Science education now: A renewed pedagogy for the future of Europe. Brussels: European Commission.
Ross, J. A., McDougall, D., Hogaboam-Gray, A., & LeSage, A. (2003). A survey measuring elementary teachers’ implementation of standards-based mathematics teaching. Journal for Research in Mathematics Education, 34(4), 344–363.
Schaumburg, H., Prasse, D., & Blömeke, S. (2009). Implementation von Innovation in der Schule. In S. Blömeke, T. Bohl, L. Haag, Lang-Wojtasik, & W. Sacher (Eds.), Handbuch Schule. Bad Heilbrunn: Julius Klinkhardt.
Schoen, H., Cegulla, K., Finn, K., & Fi, C. (2003). Teacher variables that relate to student achievement when using a standards-based curriculum. Journal for Research in Mathematics Education, 34(3), 228–259.
Schoenfeld, A. & Kilpatrick, J. (2013). A U.S. perspective on the implementation of inquiry-based learning in Mathematics. ZDM - The International Journal on Mathematics Education, 45(6) (this volume).
Stein, M., Smith, M., Henningsen, M., & Silver, E. (2000). Implementing standards-based mathematics instruction: A casebook for professional development. New York: Teachers College Press.
Stillman, G. (2013). Implementation of IBL in Europe from an Australasian perspective. ZDM - The International Journal on Mathematics Education, 45(6) (this volume).
Swan, M. (2006). Collaborative learning in mathematics: a challenge to our beliefs and practices. London: National Institute for Advanced and Continuing Education (NIACE) for the National Research and Development Centre for Adult Literacy and Numeracy (NRDC).
Takahashi, A., & Yoshida, M. (2004). Ideas for establishing lesson-study communities. Teaching Children Mathematics, 10(9), 436–443.
Thompson, M., & Wiliam, D. (2008). Tight but loose: a conceptual framework for scaling up school reforms. In C. Wylie (Ed.), Tight but loose: Scaling up teacher professional development in diverse contexts (pp. 1–44). Princeton: Educational Testing Service.
Tirosh, D., & Graeber, A. O. (2003). Challenging and changing mathematics teaching practices. In A. J. Bishop, M. A. Clements, C. Keitel, J. Kilpatrick, & F. K. S. Leung (Eds.), Second international handbook of mathematics education (pp. 643–688). Dordrecht: Kluwer.
van den Akker, J., Gravemeijer, K., McKenney, S., & Nieveen, N. (2006). Introducing educational design. In J. van den Akker, K. Gravemeijer, S. McKenney & N. Nieveen (Eds.), Educational design research (pp. 3–7). Oxford: Routledge Chapman & Hall.
Wake, G., & Burkhardt, H. (2013). Understanding the European policy landscape and its impact on change in mathematics and science pedagogies. ZDM - The International Journal on Mathematics Education, 45(6) (this issue).
Walker, D. (2006). Towards productive design studies. In J. van den Akker, K. Gravemeijer, S. McKenney, & N. Nieveen (Eds.), Educational design research (pp. 8–14). Oxford: Routledge Chapman & Hall.
Wilson, M., & Cooney, T. J. (2002). Mathematics teacher change and development. The role of beliefs. In G. C. Leder, E. Pehkonen, & G. Törner (Eds.), Beliefs: A hidden variable in mathematics education? (pp. 127–148). Dordrecht, Boston, London: Kluwer.
Winter, H. (1989). Entdeckendes Lernen im Mathematikunterricht: Einblicke in die Ideengeschichte und ihre Bedeutung für die Pädagogik. Braunschweig: Vieweg.
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Maaß, K., Artigue, M. Implementation of inquiry-based learning in day-to-day teaching: a synthesis. ZDM Mathematics Education 45, 779–795 (2013). https://doi.org/10.1007/s11858-013-0528-0
- Inquiry-based learning
- Implementation of inquiry-based learning
- Implementation strategies
- Design research
- Professional development