Skip to main content

Adults Reasoning Combinatorially

  • Chapter
Combinatorics and Reasoning

Part of the book series: Mathematics Education Library ((MELI,volume 47))

  • 642 Accesses

Abstract

In the preceding chapters of this book, we have provided considerable evidenceshowing elementary and secondary school students’ success in solving open-endedproblems, over time, under conditions that encouraged critical thinking. In thischapter, we address the question as to whether similar results can be achieved byliberal-arts college students within a well-implemented curriculum that includes astrand of connected problems to be solved over the course of the semester. From aperspective of conceptualizing reasoning in terms of solving open-ended problems,it was of interest to learn whether students in a liberal-arts college mathematicscourse could be successful in providing arguments to support their reasoning and inmaking connections in a problem-solving-based curriculum.

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

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 109.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  • Alston, A. S., & Maher, C. A. (2003). Modeling outcomes from probability tasks: Sixth graders reasoning together. In N. A. Pateman, B. J. Dougherty, & J. T. Zilliox (Eds.), Proceedings of the 27th annual conference of the International Group for the Psychology of Mathematics Education (vol. 2, pp. 25–32). Honolulu, HI: CRDG, College of Education, University of Hawaii.

    Google Scholar 

  • Maher, C. A., & Martino, A. M. (1998). Brandon’s proof and isomorphism can teachers help students make convincing arguments? (pp. 77–101). Rio de Janeiro: Universidade Santa Ursala.

    Google Scholar 

  • Maher, C. A., & Martino, A. M. (1999). Teacher questioning to promote justification and generalization in mathematics: What research practice has taught us. Journal of Mathematical Behavior, 18(1), 53–78.

    Article  Google Scholar 

  • Schoenfeld, A. H. (1987). What’s all the fuss about metacognition. In A. H. Schoenfeld (Ed.), Cognitive science and mathematics education (pp. 189–215). Newark, NJ: Lawrence Earlbaum Associates, Inc. Hillsdale.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Barbara Glass .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2011 Springer Science+Business Media B.V.

About this chapter

Cite this chapter

Glass, B. (2011). Adults Reasoning Combinatorially. In: Maher, C.A., Powell, A.B., Uptegrove, E.B. (eds) Combinatorics and Reasoning. Mathematics Education Library, vol 47. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-0615-6_15

Download citation

Publish with us

Policies and ethics