It was my pleasure to present a keynote presentation at the Delaware
Council of Teachers of Mathematics (DCTM) Project 301 conference
in Ocean City on November 21, 1996. At the request of the conference,
I promised to write this article summarizing my presentation and
providing the Internet resources I recommended for keeping up
with advances in educational technology.
As articulated by Brown, Collins, and Duguid
(1989), skills and knowledge are too often taught out of context,
as ends in and of themselves. To overcome this, teachers are using
multimedia to bring into the classroom real-life examples of situations
that provide the contextual framework so important for learning.
Brown calls this use of multimedia situated learning. Multimedia
gives teachers instant access to thousands of slides, videos,
sound tracks, and lesson plans. These materials can be called
up instantly, either for classroom use, or as a networked resource
for student exploration, discovery, reflection, and cooperative
learning. Among educational researchers, the capability to demonstrate
vividly and convincingly the real-world applicability of knowledge
has become known as anchored instruction (The Cognition
and Technology Group at Vanderbilt, 1990).
How Can Multimedia Help?
Mathematics is one of the most highly developed multimedia application
areas. Due to the computational nature of mathematics, computers
can model the content and help students master educational objectives.
The National Council of Teachers of Mathematics (NCTM) has issued
a set of guidelines that rely heavily on computers as an agent
for change in the way mathematics is taught. The NCTM guidelines
encourage the teaching of math in real-world contexts in which
students investigate problems that have meaning.
For example, Scott Foresman teamed with ABC to produce Wide
World of Mathematics, in which video footage from ABC News
and ABC Sports broadcasts is used to demonstrate how mathematics
is used every day, in virtually every field of endeavor. Pictured
below are the Middle School topics, which are available in videotape,
videodisc, and CD-ROM versions. Well-known runner Marty Liqouri
takes students step-by-step over the New York City marathon course,
using mathematics to compute the length of the course, the runners'
rate of travel at different checkpoints, and the combined weight
of the runners as they cross the Verazzano-Narrows Bridge. The
Hubble Space Telescope provides a real world setting for a treatment
of very large and very small numbers. The construction of the
Chunnel that connects France and England beneath the English Channel
introduces dimensions and units. Hurricane Andrew situates prediction
techniques with footage from forecasters at the National Hurricane
Center.
To get a demonstration copy of the Wide World of Mathematics,
phone (800) 554-4411 and ask for the videotape demo (code number
37520-X) or the CD-ROM demo (code number 37521-8). The CD contains
the situated learning example I demonstrated showing how an NFL
football game provides the context for using the playing field
as a number line on which students learn addition and subtraction.
How Can the Internet Help?
Imagine what it would be like if we could make high-quality situated
learning materials available to every student, keyed to the NCTM
standards, which are available at the Eisenhower National Clearinghouse
on the Web at http://www.enc.org. I believe that by combining
the multimedia and Internet technologies that are available today,
the DCTM could redefine the mathematics education infrastructure
and provide a powerful environment for teaching and learning mathematics
through a multimedia database of situated learning materials hosted
on the World Wide Web.
For example, Microsoft gives away for free the plug-in that makes
Microsoft Word capable of turning word-processed documents into
Web pages. The plug-in is called the Internet Assistant. You
can download it for free from the Microsoft Web site at http://www.microsoft.com/msword/internet/ia/.
Using the Internet Assistant, anyone who can word process can
create Web pages in just a few minutes. For example, I wrote
this article using Microsoft Word with the Internet Assistant
plug-in. To prepare this article for publication on the Web,
all I had to do was pull down the File menu, choose Save As, and
select the document type HTML, which is the hypertext markup language
used to encode documents on the World Wide Web. As a result, you
can find this article on the Web at http://www.udel.edu/fth/dctmkeynote.html.
All of the Web sites mentioned in this article are hotlinked,
putting you just a mouse click away from taking advantage of the
resources mentioned here.
When learning resources are mounted on the Web, they are available
worldwide, to anyone connected to the Internet. As the Internet
becomes a mass-market retail commodity, the cost of connecting
is becoming affordable by the average household. During the 1996
holiday shopping season, WebTV was introduced. For a few hundred
dollars (probably less by the time you read this), you can purchase
the equipment needed to connect any television set to the World
Wide Web. For a monthly fee comparable to basic cable television
rates, the world of interconnected knowledge becomes available
to any household-including electronic mail services.
Imagine how such connectivity could be used to deliver situated
learning materials to students at home. I believe that meaningful
activities such as the Wide World of Mathematics modules discussed
earlier could compete for the large amount of time students spend
watching commercial television. Factor in the network's ability
to track student progress, facilitate cooperative learning among
groups of students, and connect parents and teachers via the Internet's
communication services, and you have a powerful medium for improving
teaching and learning.
I would like to encourage every mathematics teacher to visit
the Eisenhower National Clearinghouse Web site at http://www.enc.org.
If you do not have Web access, visit your local college or library.
When you discover the wealth of mathematics teaching and learning
resources available on the Web, I think you will agree that doing
this was well worth your time. Some of the things you will find
at the Eisenhower site include a resource finder that provides
access to more than 7,000 curriculum resources; highlights and
tours of each month's most highly rated math sites; online documents
containing the full text of curriculum frameworks and reform documents;
an index of Web sites containing classroom-ready material for
teachers; and a communication tool that can connect you to conversations
with other teachers about how the new technology can be used to
redefine the mathematical teaching and learning infrastructure.
How to Learn More
NewMedia
magazine is probably the best single source for keeping up with
what's new in multimedia. It appears monthly and publishes an
annual buyer's guide. NewMedia contains dozens of full-color
pictures that illustrate the products it describes, and the layout
is visually appealing. To subscribe to NewMedia, write
to P.O. Box 1771, Riverton, NJ 08077-7331. Phone (415) 573-5170.
Fax (415) 573-5131. Be sure to ask about a free subscription,
which is available to qualified readers. NewMedia
is also available on the Web at http://www.hyperstand.com, where
you will find even more information than what is contained in
the printed version.
Another free magazine is T.H.E. Journal.
T.H.E. stands for Technological Horizons in Education. T.H.E.
Journal appears monthly; each issue contains application highlights
and dozens of new product announcements. Subscribers also receive
special multimedia supplements from vendors like IBM, Apple, and
Zenith. T.H.E. Journal is free to qualified individuals
in educational institutions and training departments in the United
States and Canada. To subscribe, phone (714) 730-4011 or fax (714)
730-3739. The mailing address is 150 El Camino Real, Suite 112,
Tustin, CA 92680. There is also an online version at http://www.thejournal.com.
The online version lets you download product demos, search back
issues, and read articles that did not appear in the printed journal.
Also free is an online listserver called EDUPAGE. Three times
a week, the EDUPAGE listserver sends you an e-mail message containing
a digest of ed tech news, concentrating on issues related to the
Internet. Personally, I find this to be the most valuable single
source for keeping up with what's happening in educational technology.
To subscribe, send an e-mail message to listproc@educom.unc.edu.
Leave the subject line blank, and as your message, type:
Subscribe EDUPAGE Firstname Lastname
Replace Firstname and Lastname
with your first and last names. You can also find EDUPAGE on
the Web at http://www.educom.edu.
Finally, you may be interested in visiting
the Instructional Technology Center's Web site at the University
of Delaware, which is at http://www.udel.edu/educ/itc. There
you will find information about courses in Multimedia and Internet
Literacy that are offered throughout the year, and the Summer
Institute in Educational and Assistive Technology, which will
offer twenty-two courses in the summer of 1997 in several locations
across the state. UD is also in the final stages of creating
a doctoral specialization in educational technology. To request
information about the doctoral program, send me an e-mail message
stating that you are interested in learning more about it. My
e-mail address is fth@udel.edu.
References
Brown, J. S., Collins, A., and Duguid, P.
Situated Cognition and the Culture of Learning. Educational
Researcher 28 (1989): 32-42.
The Cognition and Technology Group at Vanderbilt. Anchored Instruction and Its Relationship to Situated Cognition. Educational Researcher 19 (1990): 2-10.