Cognitive Science and Mathematics Education

By Alan H. Schoenfeld | Go to book overview

10
Cognitive Science and Mathematics Education: A Mathematician's Perspective

H. O. Pollak Bell Communications Research Morristown, NJ

This volume, and the conference from which it stems, have as their theme the connection among mathematics, mathematics education, and research work in cognitive science, and I, for one, am delighted. Frequently, when mathematicians hear about artificial intelligence, information technology, and cognitive science, these connections are not made. Mathematicians have to ask people to remember that there's a subject-matter out there and that the important question is the impact of these new areas on teaching that subject matter. All too often, there is a tendency to think of the research in artificial intelligence as a great advance by itself. It is, but educators and mathematicians also want to see it applied to education, and many researchers in AI stop short of that. Mathematicians like me must seem to be playing a broken record: What does this piece of research, this alternative model, this new technology, say about how to teach a specific mathematical topic?

Besides mathematics, mathematics education, and technology, there is still another component that concerns me, industry. My perspective is that of a nonteaching mathematician who has spent many years applying, and helping others to apply, mathematics to the real world. From that point of view, some of the discussions of problems at the meeting are not wrong-headed in any sense, but they don't go back far enough. For example, Ron Wenger's research on equations with radicals shows that students tend to square, regardless of what they are told they are solving for. They have been conditioned to do that. In real life, however, no one tells them what variable to solve for; and that's one of the things they have to figure out. The practice of mathematics in industry may lead to

-253-

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
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 8, MLA 7, APA and Chicago citation styles.

(Einhorn, 1992, p. 25)

(Einhorn 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.

Note: primary sources have slightly different requirements for citation. Please see these guidelines for more information.

Cited page

Bookmark this page
Cognitive Science and Mathematics Education
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
Items saved from this book
  • Bookmarks
  • Highlights & Notes
  • Citations
/ 294

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 8, MLA 7, 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." (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.

    Search by... Author
    Show... All Results Primary Sources Peer-reviewed

    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.