ERIC ED383548: Scientific Visualization in Mathematics and Science Teaching.

289 Pages·1995·8.1 MB·English

by  ERIC

DOCUMENT RESUME
SE 056 253
ED 383 548
Thomas, David A., Ed.
AUTHOR
Scientific Visualization in Mathematics and Science
TITLE
Teaching.
Association for the Advancement of Computing in
INSTITUTION
Education, Charlottesville, VA.
REPORT NO
ISBN-I-880094-09-6
PUB DATE
95
NOTE
293p.
AACE, P.O. Box 2966, Charlottesville, VA 22902.
AVAILABLE FROM
Teaching
Classroom Use
Guides
PUB TYPE
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Collected Works
Guides (For Teacher) (052)
General (020)
MFO1 /PC12 Plus Postage.
EDRS PRICE
Calculators; Computer Software; *Computer Uses in
DESCRIPTORS
Education; *Educational Technology; Elementary
Secondary Education; Graphs; *Mathematics
Instruction; *Science Instruction; *Technology
Education; *Visualization
Graphing Utilities
IDENTIFIERS
ABSTRACT
Science and mathematics educators are expected to use
existing educational technologies effectively and to keep informed
about emerging technologies that might become important educational
tools in the not-so-distant future. This monograph offers some help
in that regard by highlighting a number of existing and emerging
(1) "The Power of
educational technologies. Chapters are:
Visualization: The Impact of Graphing Technology on the Secondary
(2) "Using Graphing
E. Yunker;
Mathematics Curriculum," L.
Calculators to Teach High School Mathematics," L. Kaber & K.
(3) "Advanced Technologies as Educational Tools in Science:
Longhart;
J. Smith, S.
Concepts, Applications, and Issues," D. D. Kumar, P.
L.
(4) "Videodisc Technology: Applications for
Helgeson, & A. L. White;
(5) "Computer Visualization: New
Science Teaching," D. R. Lavoie;
(6) "Visualizing
Window on Mathematics," D. A. Thomas & M. Mitchell;
(7) "Getting Started With
Computer Science," R. J. Ross;
Supercomputing: An Approach for High School Students," D. W. Hyatt;
(8) "Scientific Visualization in Chemistry, Better Living through
Chemistry, Better Chemistry through Pictures: Scientific
Visualization for Secondary Chemistry Students," R. R. Gotwals, Jr.;
(9) "The National Education Supercomputer Program," R. Enderton & B.
Lindow; (10) "New Mexico High School Supercomputing Challenge," M. S.
Foster; (11) 'Sharing Multiple Complementary Representations in the
S. Livshits; (12) "Education
Teaching of Science," N. H. Sabelli & I.
and Collaboration in an Evolving Digital Culture," D. J. Cox;
(13)
"The Hypergraphics Honors Seminar at Illinois," G. K. Francis; and
(14) "A Syllabus For Scientific Visualization," A. Pang. (MKR)
* * * *,'r ******** * * **** ' r******************** *** ** *** ** *** *** * * *** **** ** * ***
Reproductions supplied by EDRS are the best that can be made
from the original document.
***********************************************************************
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Scientific Visualization in
Mathematics and
Science Teaching
edited by David A. Thomas
EDUCATION
ASSOCIATION FOR THE ADVANCEMENT OF COMPUTING IN
3
ISBN 1-880094-09-6
Copyright OD 1995 by the Association for the Advancement of Computing in Education
All rights reserved. No part of this book may be reproduced, stored in a retrieval system,
or transmitted, in any form or by any means, without permission in writing from the
publisher.
The publisher is not responsibile for the use which might be made of the information
containing in this book.
Published by the Association for the Advancement of Computing in Education (AACE) P.O.
Box 2966, Charlottesville, VA 22902 USA
Printed in the USA
CONTENTS
Introduction
iii
Contribute ors
Chapters
The Power of Visualization: The Impact of Graphing Technology
1
on the Secondary Mathematics Curriculum
LEE E. YUNKER
Using Graphing Calculators to Teach High School Mathematics
2
19
LARRY KABER AND KAREN LONGHART
Advanced Technologies as Educational Tools in Science:
3
Concepts, Applications, and Issues
27
DAVID D. KUMAR, PHILIP J. SMITH, STANLEY L. HELGESON, AND ARTHUR L. WHITE
Videodisc Technology: Applications for Science Teaching
4
45
DERRICK R.LAVOIE
Computer Visualization: New Window on Mathematics
5
67
DAVID A. THOMAS AND MARK MITCHELL
Visualizing Computer Science
6
99
ROCKFORD J. Ross
Getting Started With Supercomputing: An Approach for
7
High School Students
129
DONALD W. HYATT
Scientific Visualization in Chemistry, Better Living
8
Through Chemistry, Better Chemistry Through Pictures:
Scientific Visualization for Secondary Chemistry Students
153
ROBERT R. GOTWALS, JR.
9 The National Education Supercomputer Program
181
RICHARD ENDERTON AND BRIAN LINDOW
10 New Mexico High School Supercomputing Challenge
201
MARILYN S. FOSTER
11 Sharing Multiple Complementary Representations in the
Teaching of Science
213
NORA H. SABELLI AND IGOR S. LIVSHITS
Education and Collaboration in an Evolving Digital Culture
12
225
DONNA J. Cox
The Hypergraphics Honors Seminar at Illinois
13
237
GEORGE K. FRANCIS
14 A Syllabus For Scientific Visualization
261
Aux FANG
Color Prints
285
Cover: Olympos Mons, Mars
Introduction
Not so long ago, educators prided themselves on the stability of their programs and
foster an
the traditions of their institutions. Formal education's principal goals were to
character and
appreciation for learning and to develop citizens of sound moral
educators and
judgment. For better or for worse, today's fast-paced world is forcing
anticipate
educational institutions to refocus their goals to accommodate or even
expected to use
change. For instance, as science and mathematics educators, we are
about emerging
existing educational technologies effectively and to keep informed
not-so-distant
technologies that might become important educational tools in the
number of
future. This monograph offers some help in that regard by highlighting a
contributed by class-
existing and emerging educational technologies. Chapters were
and science educators, and specialists from the
room teachers, university mathematics
Applica-
National Science Foundation (NSF), the National Center for Supercomputing
tions, and a number of other governmental agencies.
mathematics is
In chapters 1 and 2, the use of graphing calculators in high school
graphing
discussed. This technology offers a low-cost alternative to computer-based
advanced by the
packages. In what ways does this technology support existing goals
approach the
NCTM Curriculum and Evaluation Standards? How should a school
and
problems of cost and equity associated with this technology? What do parents
addressed by three
students think about the technology? These and other questions are
high school teachers who are also leading proponents of this technology.
hypermedia
Two popular educational technologies are discussed in chapters 3 and 4,
media offer
and interactive videodisk. What d stinctive advantages do these interactive
development? What are the
science educators interested in tools for enhancing concept
do you get started? The authors
costs associated with the use of these technologies? How
experience
of these chapters are all university-based science educators with extensive
technologies.
in the development and use of educational materials based on these
their educational impli-
In chapters 5.14, a number of emerging technologies and
microworlds to supercom-
cations are discussed. The technologies range from computer
puting and scientific visualization tools. Here, a broad spectrum of classroom teachers,
university mathematics and science educators, and scientists explore exotic technolo-
gies, the nature of collaborative and interdisciplinary science in the information age,
and opportunities for students and teachers interested in high performance computing
and communications.
If you are interested in current and emerging educational technologies for science
and mathematics education, this monograph will introduce you to a group of teachers
and researchers who share your interest and who are developing and testing educa-
tional materials based on those technologies. On behalf of the authors of this mono-
graph, welcome to the future!
David A. Thomas
Associate Professor of Mathematics Education
Department of Mathematical Sciences
Montana State University
Bozeman, MT 59 71 7
[email protected]
Dedicated to
Lee E. Yunker in recognition of a lifetime of teaching and service.
Contributors
Chapter 1
The Power of Visualization: '. he Impact of Graphing Technology on the
Secondary Mathematics Curriculum
Lee E. Yunker
Mathematics Department
West Chicago Community High School
West Chicago, Illinois 60185
Chapter 2
Using Graphing Calculators to Teach High School Mathematics
Karen Longhatt
Mathematics Department
Flathead High School
Kalispell, Montana 59901
Lawrence R. Kaber
Mathematics Department
Flathead High School
Kalispell, Montana 59901
Chapter 3
Advanced Technologies as Educational Tools in Science: Concepts, Applica-
tions, and Issues
David D. Kumar
College of Education
Florida Atlantic University
Davie, Florida 33314
Philip J. Smith
Department of Industrial and Systems Engineering
The Ohio State University
Columbus, Ohio 43212
Stanley L. Helgeson
National Center for Science Teaching and Learning
The Ohio State University
Columbus, Ohio 43212
Arthur L. White
National Center for Science Teaching and Learning
The Ohio State University
Columbus, Ohio 43212
Chapter 4
Videodisc Technology: Applications for Science Teaching
Derrick R. Lavoie
Department of Biology
University of Northern Iowa
Cedar Falls, Iowa 50614
Chapter 5
Computer Visualization: New Window on Mathematics
David A. Thomas
Department of Mathematical Sciences
Montana State University
Bozeman, Montana 59717
Mark R. Mitchell
Bridger Systems
Bozeman, Montana 59715
Chapter 6
Visualizing Computer Science
Rockford J. Ross
Computer Science Department.
Montana State University
Bozeman, Montana 59717
Chapter 7
Getting Started With Supercomputing: An Approach for High School
Students
Donald W. Hyatt
Computer Science Teacher & Laboratory Director
Thomas Jefferson High School for Science and Technology
Alexandria, Virginia 22312
i)
iv