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Design Research in Mathematics Education

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Encyclopedia of Mathematics Education

Definition

Design-based research is a formative approach to research, in which a product or process (or “tool”) is envisaged, designed, developed, and refined through cycles of enactment, observation, analysis, and redesign, with systematic feedback from end users. In education, such tools might, for example, include innovative teaching methods, materials, professional development programs, and/or assessment tasks. Educational theory is used to inform the design and refinement of the tools and is itself refined during the research process. Its goals are to create innovative tools for others to use, describe and explain how these tools function, account for the range of implementations that occur, and develop principles and theories that may guide future designs. Ultimately, the goal is transformative; we seek to create new teaching and learning possibilities and study their impact on teachers, children, and other end users.

The Origins and Need for Design Research

Educational research...

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References

  • Barab S, Squire K (2004) Design-based research: putting a stake in the ground. J Learn Sci 13(1):1–14

    Article  Google Scholar 

  • Bell A (1993) Principles for the design of teaching. Educ Stud Math 24(1):5–34

    Article  Google Scholar 

  • Bereiter C (2002) Design research for sustained innovation. Cognit Stud Bull Jpn Cognit Sci Soc 9(3):321–327

    Google Scholar 

  • Brousseau G (1997) Theory of didactical situations in mathematics (trans: Balacheff N, Cooper M, Sutherland R, Warfield V), vol 19. Kluwer, Dordrecht

    Google Scholar 

  • Brown AL (1992) Design experiments: theoretical and methodological challenges in creating complex interventions in classroom settings. J Learn Sci 2(2):141–178

    Article  Google Scholar 

  • Burkhardt H, Schoenfeld A (2003) Improving Educational Research: Toward a more useful, more influential and better-funded enterprise. Educ Res 32(9):3–14

    Article  Google Scholar 

  • Cobb P, Confrey J, diSessa A, Lehrer R, Schauble L (2003) Design experiments in educational research. Educ Res 32(1)

    Google Scholar 

  • Collins A (1992) Towards a design science in education. In: Scanlon E, O’Shea T (eds) New directions in educational technology. Springer, New York, pp 15–22

    Chapter  Google Scholar 

  • DBRC (2003) Design-based research: an emerging paradigm for educational inquiry. Educ Res 32(1):5–8

    Article  Google Scholar 

  • Kelly A (2003) Theme issue: the role of design in educational research. Educ Res 32(1):3–4

    Article  Google Scholar 

  • Lesh R, Sriraman B (2010) Reconceptualizing mathematics education as a design science. In: Sriraman B, English L (eds) Theories of mathematics education: seeking new frontiers. Springer, Berlin, pp 123–146

    Chapter  Google Scholar 

  • Schoenfeld A (2004) Design experiments. In: Elmore PB, Camilli G, Green J (eds) Complementary methods for research in education. American Educational Research Association, Washington, DC

    Google Scholar 

  • Swan M (2006) Collaborative learning in mathematics: a challenge to our beliefs and practices. National Institute for Advanced and Continuing Education (NIACE) for the National Research and Development Centre for Adult Literacy and Numeracy (NRDC), London

    Google Scholar 

  • Swan M (2011) Towards the creative teaching of mathematics. In: Thomson P, Sefton-Green J (eds) Researching creative learning: methods and issues. Routledge, Abingdon, pp 54–67

    Google Scholar 

  • van den Akker J, Graveemeijer K, McKenney S, Nieveen N (eds) (2006) Educational design research. Routledge, London/New York

    Google Scholar 

  • Wittmann E (1995) Mathematics education as a design science. Educ Stud Math 29(4):355–374

    Article  Google Scholar 

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Correspondence to Malcolm Swan .

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© 2014 Springer Science+Business Media Dordrecht

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Swan, M. (2014). Design Research in Mathematics Education. In: Lerman, S. (eds) Encyclopedia of Mathematics Education. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-4978-8_180

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  • DOI: https://doi.org/10.1007/978-94-007-4978-8_180

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