ERIC ED463169: Mathematics and Science across the Curriculum.

98 Pages·2002·3 MB·English

by  ERIC

DOCUMENT RESUME
ED 463 169
SE 065 820
Thorson, Annette, Ed.
AUTHOR
Mathematics and Science across the Curriculum.
TITLE
Eisenhower National Clearinghouse for Mathematics and
INSTITUTION
Science Education, Columbus, OH.
SPONS AGENCY
Office of Educational Research and Improvement (ED),
Washington, DC.
REPORT NO
ENC-02-002
2002-00-00
PUB DATE
97p.; Theme issue. Published quarterly.
NOTE
RJ97071001
CONTRACT
AVAILABLE FROM
Eisenhower National Clearinghouse for Mathematics and
Science Education, 1929 Kenny Road, Columbus, OH 43210-1079.
Tel: [phone]; Fax: [phone]; e-mail: [email protected];
Web site: http://www.enc.org.
PUB TYPE
Collected Works
Serials (022)
JOURNAL CIT
ENC Focus; v9 n2 2002
EDRS PRICE
MF01/PC04 Plus Postage.
DESCRIPTORS
Art; Elementary Secondary Education; *Instructional
Materials; Integrated Curriculum; Language Arts;
*Mathematics Education; Music; *Science Education
ABSTRACT
This issue, intended for classroom teachers, provides a
collection of essays organized around the theme of mathematics and science
across the curriculum as well as a guide to instructional materials related
to the theme. Topics addressed in the essays include experiencing mathematics
through nature; connecting science, fiction, and real life; exploring science
and human health; and learning daily from everyday problems. Sections
"What Does Learning Look Like?" (Annette Thorson);
include:
"National
(1)
(2)
Science Foundation" (Kimberly S. Roempler);
"Blinded by Technology?"
(3)
(Joyce Kasman Valenza);
"The Power of Convergent Learning" (Carol
(4)
Damian);
"Dream Houses; A Floor Plan for Mathematical Success" (Robert E.
(5)
Freeman);
"Physics Fun" (Louise Stivers);
"Making Connections with
(6)
(7)
the Vedic Square" (Thomasenia Lott Adams);
"ENC Has Across-the-Curriculum
(8)
Ideas for You!" (Scott Bartley and Gordon Baugh);
"Beyond Numbers:
(9)
Communicating in Math Class" (David K. Pugalee);
(10) "Writing To Learn
Mathematics" (Joan Countryman); (11) "Island Hopping Across the Curriculum"
(Mary Hindelang);
(12) "Experiencing Math through Nature" (Colleen Niemi);
(13) "Batty about Bats" (Elizabeth Grenke);
(14) "Technology Education Enters
the Classroom" (Wes Perusek);
"Basketsful of Math and Science Learning"
(15)
(16) "Investigating 'Stretchy' Benchmarks" (Janice VanCleave);
(Susan Cox);
(17) "We Need More Earthworms!" (Francine Plotycia);
"Learning Every Day
(18)
from Everyday Problems" (Melanie Shreffler);
(19) "Independent Thinking in
the Chemistry Lab" (Mark Benvenuto); (20) "Connecting Science, Fiction, and
Real Life" (Carolyn Sue Gardiner);
"Go off the Subject for Math Fun and
(21)
Learning!" (Rhonda D. Cummins);
(22) "Exploring Science and Human Health"
(Cynthia Delgado); and (23)
"Math, Science, and So Much More: Making the
Cross-Curriculum Connection" (Carol Damian and Terese Herrera)
(MM)
.
Reproductions supplied by EDRS are the best that can be made
from the original document.
U.S. DEPARTMENT OF EDUCATION
Mathemati
Office of Educational Research and Improvement
EDUCATIONAL RESOURCES INFORMATION
CENTER (ERIC)
Y1.This document has been reproduced
as
received from the person or organization
originating it.
0 Minor changes have been made to
improve reproduction quality.
.ah4 Science
Points of view or opinions stated in this
document do not necessarily represent
official OERI position or policy.
Across the
urriculum
real
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of Education, Office of Educational Research and Improvement.
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Peirce A. Hammond
Director
Secretary
Assistant Secretary
The Mission of the Eisenhower
Len Simutis
DIRECTOR:
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Collaboration:
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Instructional Resources:
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is to identify effective
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Editor
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Awais Ali
mathematics and science
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Judy Ridgway
of Instructional Resources:
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Content Specialists:
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accOMpll#Sh llcc
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Acquisitions Specialists:
.
Acquires and catalogs mathematics and science curriculum
0
Pam Bentley
resources, creating the most comprehensive collection in the
Laura K. Brendon
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nation.
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Outreach:
Provides the best selection of math and science education
Assistant Director
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resources on the Internet.
of Administration:
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Supports teachers' professional development in math,
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Fiscal Services:
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KI2
Serves all
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Administrative Support:
Joyce Francis
products and services.
Linda Price
ENC Mathematics and Science Advisory Boards
Collaborates with the Eisenhower Regional Consortia
Charles Allan, Michigan State Department of Education
and many other organizations to promote education reform.
Gerry Wheeler, National Science Teachers Association
Ronald Anderson, University of Colorado, Boulder
Jerry Becker, Southern Illinois University
enc.org
Visit
Jo Ann Carr, University of Wisconsin, Madison
Joan Countryman, Lincoln School, Providence, Rhode Island
Shirley De Laney-Butler, FNC Capital Collection
& Demonstration Site, George Washington University
Arlene Hambrick, North Central Regional Education Laboratory
Elizabeth Horsch, Retired Teacher of High School Science, Wyoming
Patricia Hosken, Redondo Beach Unified School District, California
Carlo Parravano, Merck Institute for Science Education
HOW TO REACH US:
Vasha Rosenblum, Elementary Teacher, Alabama
For the most up-to-date information on services and programs of the
Harry Tunis, National Council of Teachers of Mathematics
Eisenhower National Clearinghouse visit our web site at enc.org
ENC Focus is published by the Eisenhower National Clearinghouse
for Mathematics and Science Education. ENC is funded at least in
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part through Contract No. RJ97071001 with the U.S. Department of
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Clearinghouse
0
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a
22
Making Connections
Update
Focus on
with the Vedic Square
Around the Clearinghouse
Mathematics and Science
and the Nation
by Thomasenia Lott Adams
Across the Curriculum
This section presents articles on the
This section features educational
theme of this issue.
news, editorials, essays, classroom
stories, and columns on topics of
12
The Power of Convergent
interest to classroom innovators.
Learning
J
4 Editorial
by Carol Damian
What Does Learning
Look Like?
by Annette Thorson
6 ENC Partners
National Science
A teacher educator in Florida
Foundation
uses mathematical principles from
ancient India to form the basis
by Kimberly S. Roempler
for cross-curricular--and multicul-
turallearning.
ENC is working with NSF to create
a national digital library for science,
Students who have cross-curricular
26
mathematics, engineering, and tech-
ENC Has Across-the-
learning experiences are better
nology education.
Curriculum Ideas forYoul
prepared for standardized tests
by Scott Bartley
and for life!
and Gordon Baugh
16
Dream Houses: A Floor
Want to find
Plan for Mathematical
music in
mathematics?
Success
How about
by Robert E. Freeman
physical edu-
cation in phys-
In North Carolina, a math classroom
ics? Come to
helps students build mathematical
ENC's Class-
skills and real-world knowledge as
room Calen-
they create the homes of their
dar for these
dreams.
8 Using the Internet
and hundreds
of other ideas
19
Physics Fun
Blinded by Technology?
and resources.
by Louise Stivers
by Joyce Kasman Valenza
A second-grade
This school librarian from
class in Los
Pennsylvania urges teachers not to
Angeles enjoys
let students become dazzled by
a cross-curric-
lightning-fast search engines and
ular unit
hundreds of listings on the World
including phys-
Wide Web.
.
ical science,
Lima
social studies,
.
ae
10 The Eisenhower Network
hof_fodwiIhrj
..
and art.
i
51 Connecting Science,
39 Technology Education
29 Beyond Numbers:
Fiction, and Real Life
Communicating
Enters the Classroom
in Math Class
by Carolyn Sue Gardiner
by Wes Perusek
by David K. Pugalee
Works of fiction draw adolescent
Technology education hopes to
readers to further adventures in
clarify its image with newly devel-
Communication skills enrich
science.
oped K-I2 standards.
students' understanding of
mathematical concepts both in
42 Basketsful of Math
the classroom and for the world
beyond, according to this North
and Science Learning
Carolina educator.
by Susan Cox
31 Writing to Learn
This Florida teacher uses baskets of
picture books and manipulatives to
Mathematics
allow children to explore new math-
by Joan Countryman
ematics and science concepts.
A school administrator in Rhode
52 Go Off the Subject for Math
44 Investigating "Stretchy"
Island illustrates how thought pro-
Fun and Learning!
cesses and misconceptions are
Benchmarks
revealed when students learn to
by Rhonda D. Cummins
by Janice VanCleave
write about mathematics.
This Texas mathematics teacher
Reprinted from one of the author's
gives examples of brief digressions
popular science activity books, this
that use mathematics to enliven
I
investigation illustrates the impor-
other lessons.
tance of mathematical measurement
in scientific experiments.
54 Exploring Science
and Human Health
45 We Need More
by Cynthia Delgado
Earthworms!
by Francine Plotycia
Free curriculum supplements from
the National Institutes of Health
First graders in Maryland learned in
make science relevant to the lives of
32 Island Hopping
science class about earthworms and
students.
then wrote letters to convince their
Across the Curriculum
principal to purchase a supply for
by Mary Hindelang
the school garden.
Focus on
A week spent in the Michigan
the Collection
47 Learning Every Day
wilderness gives teachers a chance
to reflect on their work and develop
from Everyday Problems
new units for their classrooms.
by Melanie Shreffler
This section presents descriptions of
exemplary resources from the ENC
34 Experiencing Math
Get a glimpse of how problem-
Collection selected to illustrate this
based learning works in an Illinois
Through Nature
issue's theme.
school district.
by Colleen Niemi
56 Math, Science, and So Much
48 Independent Thinking
High school students learn how
More: Making the Cross-
mathematics helps us understand
in the Chemistry Lab
Curriculum Connection
the natural world.
by Mark Benvenuto
by Carol Damian
36 Batty About Bats
Chemistry laboratory experiences
and Terese Herrera
that are relevant to students' every-
by Elizabeth Grenke
57 Featured Resources
day lives prepare them to design
their own experimentsand to think
An experience with bats in the
for themselves.
wild led this elementary teacher to
develop a literature-based unit for
her students.
New From ENO
This icon invites you to join in an online dis-
cussion of the content of this magazine.Visit
enc.org/focus/curriculum
Update.,
Editorial
What Does Learning
Around the
Look Like?
Clearinghouse
and the Nation
by Annette Thorson, ENC Publishing
hat process do you use to select the topics for ENC Focus?" This
6 6
is an FAQ we get from people who apparently assume that, since
we serve mathematics and science teachers, we must have one tried-and-true,
mathematical or scientific way to choose Focus topics. At the other extreme,
This section
a casual observer might think that our "process" resembles the legend of the
discovery of penicillinwe leave our petri dish open and see what falls in
features columns,
and starts to grow.
It is true that the germ of an idea might come from any number of
essays, and news
sources. Among our most trusted are ENC's Mathematics and Science Advi-
sory Boardssee page 1 of this magazine for the list of these distinguished
of interest
educators. Or a topic might spring from the group of local math and science
teachers who come to ENC about once a month to share dinner and talk about
to classroom
their lives in the classroom.
Often, a topic might be selected because it is simply too important for us to
innovators.
ignore. This is true of two upcoming topics: Success in the Urban Classroom
(scheduled for October 2002) and Special-Needs Students in the Mathematics
and Science Classroom (scheduled for April 2003).
Regardless of the origin of a particular idea, our purpose in choosing topics
is to cover a broad spectrum of issues that are important to mathematics and
science teachers.
After the topic is selected, the next task is to refine our definition of the
topic. This is hammered out by a relatively small group of mathematics and
science content specialists and editors. This group turns broad topics such as
technology or assessment into well-defined themes such as Integrating Technol-
What is the Eisenhower
ogy in the Classroom and Assessment That Informs Practice.
National Clearinghouse?
Normally, the task of defining the topic is one of the most challenging parts
Funded throuuh a contract with
of planning an issue of the magazine. But this time, for the topic Mathematics
the Office of Educational
and Science Across the Curriculum, everyone seemed much more relaxed than
Research and Improvement of
usual. After all, since this topic is about curriculum, it really touches the core of
the U.S. Department of Educa-
the mission of ENC. We all agree on what this topic meansright?
tion. ENC was created in 1992
To test that assumption, group members agreed to try something new.
to collect and catalou curriculum
Rather than brainstorming verbally in our usual way, people paired up and
resources for K-I2 mathematics
used colored pencils, crayons, chalk, or markers to draw a mock cover for
this issue.
and science educators and to
Two teams drew images of a bridge on their Focus coversa natural
disseminate information about
metaphor for across the curriculum. Another team sketched a huge pot of
federally funded educational pro-
alphabet soup with all the different subject areas spelled out like a crossword
urams. Our products and services
puzzle inside. One cover was devoted to a concept map; another showed the
have evolved to include a web
tributaries of science, math, art, literature, history, and music flowing together
site, ENC Online fenc.orul; ENC
to form the river of knowledge.
Focus, a free quarterly magazine:
In the middle of all of the drawing and discussing, we realized we were
and numerous other publications
grappling with the question: what does learning look like? We hope this issue
and services. For more informa-
of Focus provides some answers.
tion On ENC's vast collection of
We begin with a vision from ENC's science education specialist, Carol
curriculum resources, see paue
Damian, who provides examples of the powerful learning that occurs when
56.
students use knowledge from every discipline to solve real-life problems (page
12). The problem-based learning approach drives the entire curriculum in a
school district in Illinois (page 47); in California, Louise Slivers takes her
Wlliterre Guldelifillneo
Focus
TOT ENC
Detaified Writers' Guidelines are available online at
ancOorreffocusiwaite
second graders out of the classroom to experience the
machines they built and used in their physics unit (page
Here are Guideline highlights:
19); in North Carolina, Robert Freeman's middle school-
ers build models of their dream houses (page 16).
Articles submitted for consideration should be grounded in the national
educational standards while being short (500 to 2,000 words) and
Students are getting their hands dirty: Francine Ploty-
compelling. It is essential that articles promote educational equity and
cia's first graders dig for earthworms in Maryland (page
advance the principle of "education for all." We particularly invite
teachers to write about their classroom experiences, using first person
45). Teachers are getting their hands dirty, too: Mary
and a conversational tone. Please note that library research papers written
Hindelang tells of a summer professional development
in academic language for graduate school courses are unlikely to be
program at Michigan Technological University in which
selected for publication. We do, however, encourage you to include
a few, carefully chosen references or a brief reading list. All content
teachers from every discipline live in the wilderness and
must be original, and all quotations must be properly cited. ENC is not
learn how they can integrate nature into their curricula
interested in publishing articles that have the main goal of promoting
(page 32). Program participants Colleen Niemi and Eliza-
commercial products.
Photos or other illustrations add interest, and good illustrations increase
beth Grenke describe exactly how it is done (pages 34
your chances for publication. Students in laboratory settings must be
and 36).
shown following appropriate safety guidelines and wearing proper safety
Other teachers give other specific examples of the con-
attire, including eye protection. Please note that we can use photos of
children under 18 years of age only if we receive written permission
vergence of disciplines in their classrooms. Thomasenia
signed by a parent or guardian.
Lott Adams describes how she uses the Hindu Vedic
Authors of unsolicited manuscripts are urged to send a brief proposal
square and Islamic art to illuminate mathematics (page
via email well in advance of the deadline for the upcoming topic. We
prefer that manuscripts be submitted electronically. Each manuscript must
22), while Mark Benvenuto's chemistry students raise and
be accompanied by the full names, postal addresses, telephone numbers,
study tropical fish (page 48). David Pugalee and Joan
and email addresses of all authors.
Countryman each provide examples of the power of writ-
ENC holds copyright on all original materials we publish. Authors
should be aware that they do not retain copyright to the material and
ing in learning mathematics (pages 29 and 31).
cannot restrict its use by ENC or others. Requests for permission to
The use of literature is a favorite way to make connec-
reprint must be submitted by letter, fax, or email. A credit line must
tions across the curriculum. Picture books help Susan Cox
accompany the reprint.
ENC reserves the right to decline to publish any article, to delay
teach mathematics to kindergarteners (page 42), and Car-
publication until a later issue, or to publish an article online and not
olyn Sue Gardiner describes works of fiction that pique
in the print version of the magaZme. ENC retains the right to make
middle school students' interest in science (page 51).
final editing decisions.
For more information or to submit a manuscript,
We encourage you to join these teachers in telling
contact:
Focus readers what learning looks like in your classroom.
See the boxes on this page for upcoming topics and other
Annette Thorson
guidelines.
Editor, ENC Focus
[email protected]
In addition to her background as an editor of educational
ENC
magazines, Annette Thorson has taught in classrooms
The Ohio State University
ranging from kindergarten through college. She encour-
1929 Kenny Road
ages readers to contact her with comments. Email:
Columbus, OH 43210-1079
[email protected]
Direct phone: [phone]
Toll free: [phone]
Fax: [phone]
MC hag: A
srtt®m
Maga-hine
ODODOMCM
Join in the Dialogue! Wrdge fev. ENC
OCB.115
Topics and Deadlines:
Data-Driven Decision Making - Submissions due June 1, 2002
Special-Needs Students in the Mathematics and Science Classroom - Submissions due September 1, 2002
Collaborating with Colleagues to Improve Practice - Submissions due December 1, 2002
Topics and deadlines subject to change without notice.
See Writers' Guidelines on this page.
ENC Partners
National Science Foundation
ENC is working with NSF to create
ual collections will encompass the wealth of STEM
education information.
a national digital library for science,
The Service projects are expected to support users,
mathematics, engineering, and technology
collection providers, and the Core Integration effort.
education.
Service projects will also enhance the impact, effi-
ciency, and value of the NSDL as a whole.
by Kimberly S. Roempler,
ENC Instructional Resources
The Targeted Research projects are expected to
explore specific topics that have immediate applica-
ince 1996, the National Science Foundation has stud-
bility to one of the other three tracks.
ied the development of a national digital library
ENC has peen very successful in working with NSF
for science, technology, engineering, and mathematics
and other organizations in developing Collections proj-
(STEM) education. From this beginning, NSF funded the
ects. We have also worked with the Core Integration
National STEM Education Digital Library (NSDL) Initia-
groups at University of California, Berkeley (smete.org)
tive, a collective effort to build a national digital library
and at Cornell (nsdlib.nsdl.cornell.edu).
of high-quality educational materials for students and
Here are brief descriptions of the four Collections proj-
teachers at all levels, in both formal and informal settings.
ects with which ENC is currently involved.
The national impact of the NSDL will be to improve
the quality of science, mathematics, engineering, and
The Learning Matrix
-Tho War rthly
technology education and to increase access to infor-
V
MATR I
mation in these fields.
(thelearningmatrix.enc.com)
The NSF program accepts grant proposals in
ENC's first NSDL project is The Learning Matrix, a
four tracks: Core Integration, Collections, Service,
collection of resources to improve the preparation of math
and Targeted Research.
and science teachers by supporting faculty who teach
mathematics and science courses in
The Core Integration col-
two- and four-year colleges. The web
laborative g r o up
What is a Digital Library?
site (thelearningmatrix.enc.org) con-
i s focusing on
tains information about and examples
Digital libraries are acces-
the coordination
of best practices in undergraduate
sible via the Internet. They
and manage-
teaching.
provide instant, round-the-
ment of the
The project is focusing particular
clock access to complete ver-
library's core
sions of electronic resources
attention on web resources with chal-
collections and
including text, video, audio,
lenging mathematics and science con-
services. It also
and software. All these mate-
tent, course descriptions, syllabi, and
is developing the
rials are cataloged to a very
lesson plans. Links to electronic com-
library's central portal.
fine level of detail so that
munities and professional organiza-
highly specific searches are
tions are included. The site will offer
The Collections projects, of
possible.
peer-reviewed materials, such as proj-
which there are 31, cover a vari-
For more information about
ects and assessments, as well as video
ety of topics and serve many
how digital libraries function,
clips that illustrate standards-based
audiences. Collection providers
see the ENC Focus article
teaching on the college level.
are experts in their fields. They
"Digital Libraries for You"
Another important component of
are expected to manage a subset
(enc.org/focus/horizons).
The Learning Matrix will be an
of the NSDL content within
For details about the NSF
enriched web-based learning envi-
a coherent theme or specialty.
Digital Libraries projects, visit
ronment where visitors interact with
Each of these collections can be
the web site (www.ehr.nsf.ehe.
their colleagues' materials to gain
searched as a stand-alone entity,
nsf.gov/ehr/DUE/programs/
deeper understanding of the sub-
but the portal being developed
nsdl).
stance and context in both research
by the Core Integration group
Link to these and all web
and practice.
will allow for all the collections
sites in this magazine by
visiting the online version
to be searched as a whole. Even-
of this issue (enc.org/focus/
tually, NSF hopes the individ-
curriculum).
9
6
Mathematics and Science Across the Curriculum
The Gender and
and members of institutions of higher education. The proj-
ect will also establish a virtual curriculum and research
Science Digital
eMing C4,41.33
Ch31)-1 W:rag
exchange network to inform future research directions and
Library (GSDL)
foster the development of culturally sensitive mathematics
curriculum.
GSDL is a collaborative project between the Gender
and Diversities Institute at the Education Development
Kimberly S. Roempler is ENC's associate director
Center (EDC) and ENC. The initiative will serve as a
of Instructional Resources and director of the NSDL
dissemination outlet for a high-quality, interactive library
programs at ENC. Email: [email protected]
of gender and science resources for use in K-12 schools,
higher education, women's studies, and teacher prepara-
tion. Another goal of the project is to assist educators
in promoting and implementing gender-equitable science
education in both formal and informal settings.
Digital Library Contacts
The web site (www.gsdl.org) will help link science
teachers and gender equity specialists to mentors and
National STEM Education
Digital Library (NSDL)
other experts in cross-disciplinary examinations of
Lee L. Zia
gender and science. The active involvement of the educa-
Program Officer
tors, scientists, and technology design experts promises to
Division of Undergraduate Education
provide a much-needed "self-guided professional develop-
National Science Foundation
ment system" and online community focused on improv-
4201 Wilson Blvd., Suite 835
ing outcomes for all students in science.
Arlington, VA 22230
[phone]
[email protected]
Innovative Curriculum
[email protected]
Online Network (ICON)
marvel* furrfrans 0.41w..Iverle
The Learning Matrix
The International Technology Education Association
Kimberly S. Roempler
Associate Director, Instructional Resources
(ITEA), in partnership with ENC, is developing a com-
Eisenhower National Clearinghouse
prehensive digital library collection to promote K-12 tech-
1929 Kenny Rd.
nological literacy. The first step in the project is to build,
Columbus, OH 43210-1079
monitor, and maintain the digital library collection.
[phone]
To provide an accessible virtual environment for the
[email protected]
collection, the project will create an electronic roadmap
Gender and Science Digital Library (GSDL)
to connect users with technological literacy resources.
Katherine Hanson
Another key effort will involve promoting digital library
Director, Gender and Diversities Institute
tools and services to relevant professional communities.
Education Development Center, Inc.
55 Chapel St.
NIEL
Newton, MA 02458
The Ethnomathematics
[phone]
Digital Library (EDL)
[email protected]
Innovative Curriculum Online Network
(ICON)
The EDL project is designed to preserve and affirm the
Brigitte Valesey
rich cultural and mathematical heritage of indigenous cul-
Director, Center to Advance the Teaching
tures and to ensure worldwide access to this heritage. The
of Technology & Science
Pacific Ethnomathematics Collections Network (PECN)
International Technology Education Association (ITEA)
will develop the collection. PECN is made up of represen-
1914 Association Dr., Suite 201
tatives from the University of Guam, the University of
Reston, VA 20191
Hawaii, the University of the South Pacific, the Australian
[phone]
[email protected]
Academy of Science, and the Pacific Resources for Edu-
cation and Learning (PREL). ENC will provide technical
Ethnomathematics Digital Library (EDL)
assistance and on-going support to PECN.
Nancy Lane
One of the first tasks of the EDL will be to identify,
Director of Communications
Pacific Resources for Education and Learning (PREL)
collect, catalog, and organize high-quality ethnomath-
1099 Alakea Street, 25th Floor
ematics curriculum and instruction materials, research
Honolulu, HI 96813
articles, and other professional resources of interest to
[phone]
the K-12 community, curriculum developers, researchers,
lanen@prelorg
141
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