Toward a Unified Theory of Problem Solving: Views from the Content Domains

By Mike U. Smith | Go to book overview

but it does not constitute the major goal of the enterprise. Like problems about quantities in ordinary activity, problems in mathematics arise in a larger context that makes them meaningful. We could refocus our research effort toward problem solving in broader contexts, including the study of abilities of individuals to reason about quantities in situations they can understand. I have presented some preliminary findings from some research that I hope will contribute to that goal.


Acknowledgements

This research was supported by the National Science Foundation, grant BNS-8718918. This paper is based in part on an invited plenary presentation at the North American Chapter of the International Group for the Psychology of Mathematics Education, given at Northern Illinois University in 1988 and published in the proceedings of that meeting.


REFERENCES

Alibert, D.( 1988). Towards new customs in the classroom. For the Learning of Mathematics, 8, 31-35, 43.

Anderson, J. R.( 1982). Acquisition of cognitive skill. Psychological Review, 89, 396-406.

Anderson, J. R. ( 1988). The analogical origins of errors in problem solving. In D. Klahr & K. Kotovsky (Eds.), Complex information processing (pp. 343-370). Hillsdale, NJ: Lawrence Erlbaum Associates.

Anderson, J. R., Boyle, C. F., & Yost, G. ( 1985). The geometry tutor. In A. Joshi (Ed.), Proceedings of the Ninth International Joint Conference on Artificial Intelligence (p. 1-7). Los Altos, CA: Morgan Kaufmann.

Belenky, M. F., Clinchy, B. M., Goldberger, N. R., & Tarule, J. M. ( 1986). Women's ways of knowing. New York: Basic.

Briars, D. J., & Larkin, J. H. ( 1984). An integrated model of skill in solving elementary word problems. Cognion and Instruction, 1, 245-296.

Brown, J. S. (in press). Toward a new epistemology for learning. In C. Frasson & J. Gauthiar (Eds.), Intelligent tutoring systems at the crossroad of AI and education. Norwood, NJ: Ablex.

Brown, J. S., & Burton, R. R. ( 1978). Diagnostic models for procedural bugs in basic mathematical skills. Cognitive Science, 2, 155-192.

Brown, J. S., & VanLehn, K. ( 1980). Repair theory: A generative theory of bugs in procedural skills. Cognitive Science, 4, 379-426.

Bundy, A. ( 1975). Analyzing mathematical proofs (or reading between the lines). In P. Winston (Ed.), Proceedings of the 4th International Joint Conference on Artificial Intelligence. Cambridge, MA: Artificial Intelligence Laboratory.

Burton, R. R. ( 1982). Diagnosing bugs in a simple procedural skill. In D. Sleeman & J. S. Brown (Eds.), Intelligent tutoring systems (pp. 157-184). New York: Academic.

Carpenter, T. P., Fennema, E., Peterson, P. L., Chiang, C., & Loef, M. (in press). Using knowledge of children's mathematics thinking in classroom teaching: An experimental study. American Educational Research Journal.

-95-

Notes for this page

Add a new note
If you are trying to select text to create highlights or citations, remember that you must now click or tap on the first word, and then click or tap on the last word.
One moment ...
Project items

Items saved from this book

This book has been saved
Highlights (0)
Some of your highlights are legacy items.

Highlights saved before July 30, 2012 will not be displayed on their respective source pages.

You can easily re-create the highlights by opening the book page or article, selecting the text, and clicking “Highlight.”

Citations (0)
Some of your citations are legacy items.

Any citation created before July 30, 2012 will labeled as a “Cited page.” New citations will be saved as cited passages, pages or articles.

We also added the ability to view new citations from your projects or the book or article where you created them.

Notes (0)
Bookmarks (0)

You have no saved items from this book

Project items include:
  • Saved book/article
  • Highlights
  • Quotes/citations
  • Notes
  • Bookmarks
Notes
Cite this page

Cited page

Style
Citations are available only to our active members.
Sign up now to cite pages or passages in MLA, APA and Chicago citation styles.

(Einhorn, 1992, p. 25)

(Einhorn 25)

1

1. Lois J. Einhorn, Abraham Lincoln, the Orator: Penetrating the Lincoln Legend (Westport, CT: Greenwood Press, 1992), 25, http://www.questia.com/read/27419298.

Cited page

Bookmark this page
Toward a Unified Theory of Problem Solving: Views from the Content Domains
Settings

Settings

Typeface
Text size Smaller Larger
Search within

Search within this book

Look up

Look up a word

  • Dictionary
  • Thesaurus
Please submit a word or phrase above.
Print this page

Print this page

Why can't I print more than one page at a time?

Full screen
/ 164

matching results for page

Cited passage

Style
Citations are available only to our active members.
Sign up now to cite pages or passages in MLA, APA and Chicago citation styles.

"Portraying himself as an honest, ordinary person helped Lincoln identify with his audiences." (Einhorn, 1992, p. 25).

"Portraying himself as an honest, ordinary person helped Lincoln identify with his audiences." (Einhorn 25)

"Portraying himself as an honest, ordinary person helped Lincoln identify with his audiences."1

1. Lois J. Einhorn, Abraham Lincoln, the Orator: Penetrating the Lincoln Legend (Westport, CT: Greenwood Press, 1992), 25, http://www.questia.com/read/27419298.

Cited passage

Welcome to the new Questia Reader

The Questia Reader has been updated to provide you with an even better online reading experience.  It is now 100% Responsive, which means you can read our books and articles on any sized device you wish.  All of your favorite tools like notes, highlights, and citations are still here, but the way you select text has been updated to be easier to use, especially on touchscreen devices.  Here's how:

1. Click or tap the first word you want to select.
2. Click or tap the last word you want to select.

OK, got it!

Thanks for trying Questia!

Please continue trying out our research tools, but please note, full functionality is available only to our active members.

Your work will be lost once you leave this Web page.

For full access in an ad-free environment, sign up now for a FREE, 1-day trial.

Already a member? Log in now.