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Modeling Students' Mathematical Modeling Competencies pp 189–198Cite as

Generative Activities: Making Sense of 1098 Functions

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Abstract

This paper reports on early efforts to make sense of the new type of data created by Networked Function Based Algebra Generative Activities – specifically a data set from a single classroom activity consisting of over 1000 equivalent expressions. The data was collected during the first enactments of Networked Generative Activities in Singapore. The author led a series of networked generative, function-based algebra modeling activities with five classes of Secondary 1 students. The functions submitted by the students for a single activity were collected and analyzed. Findings showed that students created a range of correct functions utilizing many important mathematical concepts. Preliminary analysis of the functions highlighted the need for new and powerful tools for teachers to make sense of the vast quantity of data created in generative activities.

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Acknowledgments

This work was supported by in kind equipment donations from Texas Instruments Inc. and grant funding from the Learning Sciences Lab at the National Institute of Education in Singapore. Many thanks go to all of the teachers at the research site.

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Authors and Affiliations

  1. Learning Sciences Lab, National Institute of Education, Singapore, Singapore

    Sarah M. Davis

Authors
  1. Sarah M. Davis
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Correspondence to Sarah M. Davis .

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Editors and Affiliations

  1. School of Education, Indiana University, N. Rose Ave. 201, Bloomington, 47405-1006, USA

    Richard Lesh

  2. Graduate School of Education, University of Queensland, Brisbane, 4074, Australia

    Peter L. Galbraith

  3. Dept. Continuing Education, City University, Northampton Square, London, EC1V 0HB, United Kingdom

    Christopher R. Haines

  4. School of Education, University of Utah, Campus Center Drive 1705, Salt Lake City, 84112, USA

    Andrew Hurford

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Davis, S.M. (2010). Generative Activities: Making Sense of 1098 Functions. In: Lesh, R., Galbraith, P., Haines, C., Hurford, A. (eds) Modeling Students' Mathematical Modeling Competencies. Springer, Boston, MA. https://doi.org/10.1007/978-1-4419-0561-1_16

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