Rational Numbers: An Integration of Research

By Thomas A. Romberg; Elizabeth Fennema et al. | Go to book overview

intuitions that guide our work in order to connect it with the work of others in meaningful ways.

Research that links teaching and learning has great potential for helping us understand the most fundamental relationship in the classroom. But, such research is always limited in important ways. To overcome the limitations, to move toward the goal of increased understanding, we must be clear about the limitations and must continue building theories that can be used to make connections among individual projects.


ACKNOWLEDGMENTS

I would like to thank D. Ball, T. Carpenter, N. Mack, and L. Streefland for their comments on an earlier draft of this paper. I also would like to thank the National Science Foundation for supporting the research on decimal fractions summarized in this paper (Grant No. MDR 8651552) and for their partial support while writing it (Grant No. MDR 8855627). The opinions and interpretations, however, are those of the author and not the reviewers or the National Science Foundation. Some of the observations contained in the chapter were presented at the 1989 annual meeting of the American Educational Research Association, San Francisco.


REFERENCES

Brophy, J. E., & Good, T. L. ( 1986). "Teacher behavior and student achievement". In M. C. Wittrock (Ed.), Handbook of research on teaching ( 3rd ed., pp. 328-375). New York: Macmillan.

Dienes, Z. P. ( 1964). Building up mathematics ( 2nd ed.). London: Hutchinson Educational.

Fennema, E., Carpenter, T. P., & Lamon, S. J. (Eds.). ( 1988). Integrating research on teaching and learning mathematics. Madison: University of Wisconsin, Wisconsin Center for Education Research.

Hiebert, J. ( 1988). A theory of developing competence with written mathematical symbols. Educational Studies in Mathematics, 19, 333-355.

Hiebert, J., & Behr, M. (Eds.). ( 1988). Number concepts and operations in the middle grades. Reston, VA: National Council of Teachers of Mathematics.

Hiebert, J., & Carpenter, T. P. ( 1992). Learning and teaching with understanding. In D. A. Grouws (Ed.), Handbook of research on mathematics teaching and learning (pp. 65-97). New York: Macmillan.

Hiebert, J., & Wearne, D. ( 1988). Instruction and cognitive change in mathematics. Educational Psychologist, 23, 105-117.

Hiebert, J., Wearne, D., & Taber, S. ( 1991). "Fourth graders' gradual construction of decimal fractions during instruction using different physical representations". Elementary School Journal, 91, 321-341.

Mack, N. K. ( 1990). Learning fractions with understanding: Building on informal knowledge. Journal for Research in Mathematics Education, 21, 16-32.

Romberg, T. A., & Carpenter, T. P. ( 1986). Research on teaching and learning mathematics: Two disciplines of scientific inquiry. In M. C. Wittrock (Ed.), Handbook of research on teaching (pp. 850-873). New York: Macmillan.

-238-

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 ...
Default project is now your active project.
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.
Buy instant access to cite pages or passages in MLA, APA and Chicago citation styles.

(Einhorn, 1992, p. 25)

(Einhorn 25)

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
Rational Numbers: An Integration of Research
Table of contents

Table of contents

Settings

Settings

Typeface
Text size Smaller Larger Reset View mode
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?

Help
Full screen
/ 378

matching results for page

    Questia reader help

    How to highlight and cite specific passages

    1. Click or tap the first word you want to select.
    2. Click or tap the last word you want to select, and you’ll see everything in between get selected.
    3. You’ll then get a menu of options like creating a highlight or a citation from that passage of text.

    OK, got it!

    Cited passage

    Style
    Citations are available only to our active members.
    Buy instant access 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

    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.

    Buy instant access to save your work.

    Already a member? Log in now.

    Author Advanced search

    Oops!

    An unknown error has occurred. Please click the button below to reload the page. If the problem persists, please try again in a little while.