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First Symposium
Series on
Excellence in Teaching Undergraduate
Science and Mathematics:
National and Chicago Perspectives
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January 29, 1999—Teaching
and Learning Perspectives of Science, Mathematics,
and Education Faculty
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March 29, 1999—Analyzing
and Initiating Successful Practice in Science and Mathematics Instruction
- May 10, 1999—Addressing
Institutional Issues Relating to Who Studies Mathematics and Science
ABSTRACTS
February 2 Plenary Talks and Break-out Sessions
Plenary Talks
Bios of Plenary Speakers
Deborah Loewenberg Ball, University of Michigan
Dr. Deborah Loewenberg Ball's
work as a researcher and teacher educator is rooted
in practice, drawing directly and indirectly on her
experience as a classroom teacher. With
elementary school mathematics as the main context,
Ball studies the practice of teaching and the
processes of learning to teach, with a current
focus on learning in and from practice itself.
Ball's publications include articles on teacher
learning and teacher education; the role
of subject matter knowledge in teaching and learning
to teach; endemic challenges of teaching;
and the relations of policy and practice in
instructional reform. She is Associate
Editor of the Journal for Research in Mathematics
Teacher Education, and is a member of the
Mathematical Sciences Education Board, and of the
Commission on Behavioral and Social Science
Education. She was a lead author for the
Professional Standards for Teaching Mathematics. In
1997, Ball received the Raymond B. Cattell Early
Career Award for Programmatic Research from
the American Educational Research Association.
Hyman Bass, University of
Michigan
Dr. Hyman Bass' chief fields of
research interest are algebraic K-theory, number
theory, geometric methods of group theory, algebraic
geometry, and mathematics education. He
has been a member of the American Academy of
Arts and Sciences since 1981 and of the National
Academy of Sciences since 1982. Bass received
the Cole Prize in Algebra from the American Mathematical
Society in 1975, and the Van Amringe Prize from
Columbia University for his book Algebraic
K-theory in 1969. In addition to being
the author or co-author of over 75 publications
in mathematics, Bass has written articles and
given presentations in the area of mathematics
education. He is currently Chair of the
National Research Council's Mathematical Sciences
Education Board and of the American Mathematical
Society's Committee on Education. From 1998 to
2002, he will serve as the President of the
International Commission on Mathematics Instruction
Robert Watson, NSF Division of
Undergraduate Education (ret)
Dr. Robert Watson served with
the National Science Foundation from 1968 until
1999, with program and division-level management
responsibilities in graduate, undergraduate, and
precollege science, mathematics, and engineering
education. During 1983, Watson served in
the White House Science Advisor's Office (OSTP)
where he developed a plan for the Federal role
in science education that was approved by the
Congress and served as the basis for the regeneration
of NSF education programming. From 1963
to 1968, he was on the chemistry faculty at
Memphis State University. In 1966, Watson
became the first individual to receive an NSF
grant focusing on the improvement of education
for minorities.
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Abstracts for the Plenary Talks
Crossing Boundaries: Probing the Mathematical Entailments of Teaching
Elementary School Mathematics
Deborah Loewenberg Ball, Professor of Mathematics Education, University
of Michigan
Hyman Bass, Adrain Professor of Mathematics, Columbia University
The mathematical knowledge that it takes to teach has been a topic
of recurrent interest, concern, and debate. Most policy
and development in this area has produced lists of topics teachers should
know; at the same time, a host of studies have documented how much of this
teachers do not know. Our research turns this problem on its head and starts
with the practice of teaching, analyzing primary records of practice (videotapes
of classroom lessons, children's work, teacher notes) to examine what mathematics
is entailed in teaching children. This seminar will have four parts: (1)
a brief overview of past work on teachers' mathematical knowledge; (2) the
design of our current work on the mathematical entailments of teaching (including
why we frame the problem this way); (3) a close investigation of a small
segment of videotape, with a look at the embedded mathematics, including
what the mathematics is, where and how it seems to play a role; (4) what
we are learning about the effort to collaborate across the substantial gulf
that traditionally divides mathematics and education.
Higher Education and the Reform of Mathematics and Science Education
Robert F. Watson, Division Director(retired), Division of Undergraduate
Education, National Science Foundation
Reform in undergraduate education is increasingly the subject of discussion
and action across the country. The National Science Foundation released a
report, Shaping the Future: New Expectations for Undergraduate Science, Engineering,
Mathematics, and Technology Education, which identifies accomplishments,
challenges, and needs for students, faculty, institutions, industry, the
public, and other sectors concerned with undergraduate education. The report
contains recommendations to all of these sectors which have contributed to
the significant momentum for change now occurring in higher education.
In this interactive session the report and national changes in undergraduate
education will be discussed, and NSF plans resulting from the report will
be presented. Participants will be invited to suggest their own candidates
for the most significant improvements and the greatest challenges to undergraduate
education
To prepare for the session, participants may wish to review the report
and related subsequent activities available from NSF's Division of
Undergraduate Education(DUE) at http://www.ehr.nsf.gov/EHR/DUE//start.htm,
by phoning 703.306.1666, or by e-mail to undergrad@nsf.gov. The DUE
guide to programs may also be obtained these ways.
Abstracts for the Breakout Sessions
Crossing Boundaries: Probing the Mathematical Entailments of Teaching
Elementary School Mathematics
Deborah Loewenberg Ball, Professor of Mathematics Education, University
of Michigan
Hyman Bass, Adrain Professor of Mathematics, Columbia University
This session will continue the discussion of the presentation in the plenary
session, including additional viewing of parts of the videotape material.
One Picture is Worth A Thousand Words!
The Effective Use of Interactive Cable Television in Mathematics Instruction
Diane Schiller, Department of Curriculum and Instruction in Educational
Psychology, Loyola University Chicago
Mary Charles, Department of Curriculum and Instruction in Educational Psychology,
Loyola University Chicago
The presenters will share insights and experiences gained from nearly a
decade using interactive cable television for effective mathematics instruction.
COUNTDOWN, a weekly hour-long call-in format television program broadcast
on Chicago cable access, focuses on a different math topic each week using
direct instruction, manipulatives, and related activities. Because COUNTDOWN
programs model excellent instructional practices, copies of some of the more
than 250 prerecorded shows have and continue to be used in tutor training
programs, staff development activities and special education environments.
Recent research conducted in 9 different Chicago Public Schools with more
than 1100 students verified COUNTDOWN's powerful impact by improving student
achievement scores as much as 15% in mathematics.
General Education Mathematics Courses: What do students need for the future?
David Jabon, Director, Quantitative Reasoning Program, DePaul University
With the vast expansion of the use of quantitative methods within academic
disciplines, in the workplace, and in public life, are our traditional precalculus
and algebra courses adequately preparing students? What kinds of mathematical
skills and knowledge do college students, especially those not majoring in
mathematics or science, need for the future? This workshop will consist
of a presentation of a non-traditional approach being developed at DePaul
University and an open forum for participants to discuss and perhaps to debate
this question.
The role of proof in undergraduate mathematics courses
Susanna Epp, Department of Mathematics, DePaul University
Some say it is best for students to learn to write proofs by a kind of osmosis
as they proceed through the mathematics curriculum. In lower-level courses
they hear their teachers engage in careful reasoning and they read the proofs
in their textbooks. Then in upper-level courses they start writing
proofs themselves, using those presented in class and in their textbooks as
models. Others claim it is best for students to have more explicit guidance
as they first attempt to write proofs on their own. Still others claim
proof should be downplayed in undergraduate courses, with proportionately
greater emphasis on how to exploit mathematical facts to solve problems.
Come hear a presentation of the issues in this debate and offer your own views
in the ensuing discussion.
Getting NSF Education Support and Mock Proposal Review
Robert Watson, Director, Division of Undergraduate Education of the National
Science Foundation (ret)
This will be a highly interactive session in two parts consisting of:
First, an overview of current and upcoming changes in NSF educational support
programs of interest to 2-and 4-year college and university faculty, including
advice on writing successful proposals; Second, a mock panel review
of a "real" proposal which was funded, simulating quite closely the
way that the Division of Undergraduate Education reviews proposals;
the group will divide into panels, read the proposal, discuss their reactions,
and compare the outcome with how the "real" panel rated the proposal.
The panel is especially useful for persons who have not submitted successful
proposals or served on NSF panels.
A Challenging Way to Teach Introductory Science, or "What to do in a big
lecture class, besides lecture?"
Douglas Duncan, Department of Astronomy and Astrophysics, University of
Chicago and National Education Coordinator, American Astronomical Society
Have you been disappointed when students cannot apply concepts you (and
they!) thought they had learned to new situations, or in the real world?
Do you know that student note-taking and learning begin to diminish within
20 minutes of the start of a lecture, even a well-presented, interesting
one? Educational studies have shown that it is surprisingly difficult
to achieve significant and lasting learning. We will view the provocative
videotape, "A Private Universe," which emonstrates this in a rather dramatic
and entertaining way, and continue with a discussion of peer teaching and
qualitative questioning --easy to implement strategies which have been shown
to impressive results and which are PRACTICAL for busy faculty. Additional
benefits are that students taught this way, including non-science majors,
report a dramatic positive change in their attitudes about science, and faculty
who try the techniques often report being surprised and pleased at what happens
in their class.
Dr. Duncan is Assoc. Professor of Astronomy and Astrophysics at
the University of Chicago, and National Education Coordinator, the American
Astronomical Society. In the latter capacity he is responsible for
helping astronomy faculty throughout the United States improve their teaching.
His research uses the Hubble Space Telescope to test theories of the origin
of the Universe. He also is well-known as a public spokesperson for
science and correspondent for radio station WBEZ in Chicago.
Working with Chemistry: A Lab Program for Students who will Use Chemistry.
Donald J. Wink, Department of Chemistry, University of Illinois at Chicago
Most of the students in the main general chemistry courses at colleges and
universities are not chemists. Instead, they are planning on careers
that require a knowledge of chemistry. To serve these students, faculty
at UIC in a network with four Chicago-area community colleges are developing
the "Working with Chemistry" program. This provides students with a
scenario, drawn from a professional setting, for the application of the principles
of general chemistry laboratory work. This session will discuss the
kinds of students we have in our classes, and then examine some issues involved
in bringing scenario-based learning to the classroom.
Preparing Students in Secondary Mathematics and Science
Jamie Ford, FB/STPP Coordinator, Chicago State University
Dexter Miles, Secondary Biology Student, Chicago State University
Pamela Alexander, Secondary Mathematics Student, Chicago State University
Yolanda Miro, Secondary Chemistry Student, Chicago State University
Description of Program: The Field Based Secondary Teacher Preparation
Program (FB/STPP) requires preservice teachers to gain teacher training under
the mentorship of experienced teachers and the College of Education (COE)
faculty in an urban high school. A typical day for preservice teachers
includes teaching in the classroom, Monday-Thursday, beginning 8:00 a.m. -
11:30 a.m.; receiving instruction in COE professional education courses
by the College of Education faculty; and incorporating a portion of
Friday morning to reflect on weekly teaching and planning. Students
return to campus to complete additional course work in the secondary preservice
teachers' major.
Description of Presentation: The break-out session will include a
10-minute video, which highlights the important components of the Field Based
Program. In addition, three secondary science and mathematics Field
Based interns will share their teaching experiences.
Interpreting Mathematical Notation: Is it really that easy?
Mercedes McGowen, Department of MAthematics, William Rainey Harper College
The ability to flexibly interpret and use the ambiguity of mathematical
notation is necessary for successful mathematical thinking. The conceptual
requirements for understanding ambiguous expressions, both arithmetic and
functional, appear to be far more formidable in their complexity than has
generally been recognized. In this session, participants will examine
students’ efforts to interpret and make sense of ambiguous mathematical notation.
The findings of a recent study will be reported in which it was found that,
with explicit discussions and activities, the more successful students developed
improved flexibility in their ability to interpret and use notation.
Qualitatively different strategies and inflexible thinking characterized the
less successful, who showed almost no growth in their ability to interpret
ambiguous notation.
March 29 Plenary Talks and Break-out Sessions
- Plenary Talk
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- Bios
of Plenary Speakers
Joan Ferrini-Mundy, Mathematical Sciences Education Board
Dr. Joan Ferrini-Mundy's research interests are in calculus
learning and reform in mathematics education, K-14. She
taught mathematics at Mount Holyoke College in 1982-83, where
she co-founded the SummerMath for Teachers program. She
joined the mathematics faculty of the University of New Hampshire
in 1983. Ferrini-Mundy served as a visiting scientist
at the National Science Foundation in 1989-91. She served
on the Mathematical Sciences Education Board, and has chaired the
AERA Special Interest Group for Research in Mathematics Education.
Ferrini-Mundy has served in a variety of leadership roles in
the National Council of Teachers of Mathematics. She
was the Principal Investigator for NCTM's Recognizing and
Recording Reform in Mathematics Education (R3M) project, chaired
the NCTM's Research Advisory Committee, and was a member of
the NCTM Board of Directors. Currently, she chairs the
Writing Group for Standards 2000, the revision of the NCTM
Standards.
Lillian C. McDermott, University of Washington
Dr. Lillian C. McDermott is Director of the Physics Education
Group at the University of Washington, which engages in research
on the learning and teaching of physics, designs curriculum
for mainstream students, conducts programs for the preparation
of prospective and practicing teachers of physics and physical
science, and conducts TA training seminars and professional
development workshops for college and university faculty. The
group developed the curriculum Physics by Inquiry and is currently
developing Tutorials in Introductory Physics . McDermott
is a Fellow of the American Physical Society and of the American
Association for the Advancement of Science, and has been a
Councillor of the American Physical Society and a member of
the APS Board. She received the American Association of
Physics Teachers' Distinguished Service Citation in 1981, and the
AAPT's Robert A. Millikan Lecture Award for her contributions
to physics education research in 1990. In 1983, McDermott
received the Seattle Urban League's Affirmative Action Award
for her work in helping minority students succeed in physics.
Michael Zeilik, University of New Mexico
Dr. Michael Zeilik's research activities have focused on magnetic
activity cycles of sun-like stars, starbirth, astronomy in
the historic and prehistoric Pueblo world, and a cognitive
approach to teaching science. He has published four books,
over 100 professional articles, and given over 200 talks to
professional and lay audiences. Zeilik's teaching interests
are introductory courses for the novice, non-science major
student, and astronomy education research at the university.
He has been supported by grants from the National Science Foundation,
NASA, the Exxon Educational Foundation, and the Slipher Fund
of the National Academy of Sciences for innovations in astronomy
education, astronomy for the general public, and astronomy
workshops for in-service teachers. In 1998-99, he has
an appointment as a Fellow with the National Institute for
Science Education, working on issues of classroom assessment.
Abstracts for Plenary Talks
Bridging the Gap Between Teaching and Learning: The Role
of Research
Lillian C. McDermott, Professor of Physics, University of
Washington
The difference between what is taught and what is learned
is often greater than many science instructors realize. The
discrepancy is demonstrated in the context of several studies
in which we examined how well students who have taken physics
at the introductory level and beyond understand some basic
physical concepts. The role of research in identifying
and addressing specific difficulties is described in terms
of specific examples. These provide a basis for several
generalizations that have important implications for the teaching
of introductory science courses and for the preparation of
precollege teachers and graduate teaching assistants.
Active Learning in Large (and Small!) Classes
Michael Zeilik, Professor of Physics and Astronomy, University
of New Mexico
Large classes may well be the most ineffectual component of
higher education in sciences and mathematics. Disciplinary-based
research reveals that such classes work only for a small fraction
of students and turn off many, even majors. To transform
such courses, we should design, implement, and assess an innovative,
conceptually-based instructional model for teaching large
(or small!) undergraduate courses for both majors and non-majors.
To execute this effort required active-learning strategies
to engage the students, especially in classes for non-majors. Central
to success is the implementation of cooperative learning teams
and the use of teams for activities, demonstrations, quizzes,
and conceptual tests and concept mapping. I will highlight
the practical and very positive aspects of a team-enhanced
class, strategies that can be applied to all sciences and
mathematics areas. (This research was supported in part
by NSF grant DUE-9253983.)
Preparing Teachers of Mathematics: Issues from National Standards
Joan Ferrini-Mundy, Director of the Mathematical Sciences
Education Board, National Research Council
A number of national initiatives are focused on improving
mathematics and science teachers' understanding of content
and their use of that content in their teaching. This
session will focus on the features of some of those initiatives,
including ongoing work at the National Research Council, in
identifying the roles of discipline-based faculty in helping
teachers learn. In addition, we will discuss how ongoing
work in producing and promoting standards for preK-12 mathematics
education, including the National Council of Teachers' Principles
and Standards for School Mathematics, might be related to
issues in the preparation and continuing education of teachers.
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Abstracts for Break-out Sessions
Abstracts for Breakout Sessions
Bridging the Gap Between Teaching and Learning: The Role of Research
Lillian C. McDermott, Professor of Physics, University of Washington
This session will provide an opportunity to explore in greater depth the
aspects of the associated plenary session that are of special interest to
the participants.
Algebra in the PreK-6 Years: Possibility or Pipedream?
Joan Ferrini-Mundy, Director of the Mathematical Sciences Education Board,
National Research Council
Various reform initiatives in K-12 mathematics education advocate early
introduction of ideas in algebra for all students, beginning in the elementary
grades. We will explore key areas of elementary school mathematics
and examine possibilities for introducing central ideas in algebra in the
early years. In addition, we will consider the topic of "algebraic
reasoning". Finally, we will discuss how areas such as pattern, algebraic
structure, and function might be integrated into algebraic strands in the
elementary curriculum.
Concept Maps
Michael Zeilik, Professor of Physics and Astronomy, University of New Mexico
At the University of New Mexico, we have concluded a four-semester study
of conceptually-based active learning strategies in a large science class
for novice astronomy students. A key feature of this innovative course
was the use of concept maps as a focal point to improve instruction in science.
Specifically, we have examined concept maps as a tool for course design, instruction,
and assessment. We have found that, as an alternative assessment, that
the concept maps have a high reliability, both as pre- and post-testtools.
The conclusion: novice students can acquire structural knowledge, if
it is taught explicitly. This session will offer practical advice in the
use of concept maps in the classroom. I will briefly review the research
results on novices/expert and then present the specific uses of concept maps.
This research was supported in part by NSF grant DUE-9253983.
Reading and Writing in the Discipline: Incorporating primary literature
into upper division biology courses
Mary V. Ashley, Department of Biological Sciences, University of Illinois
at Chicago
The opportunity for students to read, discuss, and critique scientific literature
is often lacking in the curriculum of biology departments at large universities.
The lecture and laboratory format of most courses may provide a limited perspective
on how scientists actually perform their research and report their findings.
The traditional format also may fail at presenting science as a dynamic field,
with unresolved debates and controversies in nearly every field. In
this session, an overview of incorporating primary literature into discussion
sections and writing assignments for biology majors will be presented and
discussed.
Creating a Coherent, Standards-based High School Science Sequence
Marge Bardeen, Fermilab, Batavia, IL
Join a discussion about helping teachers understand the implications of
national and Illinois science education standards on teaching and learning
practices at the high school level. What can we expect teachers to
do together to create a high school science sequence that will meet the new
standards? How can they develop understanding of the integration of
science across disciplines? How can they identify unifying concepts
and processes? We will share some of the experiences of the Fermilab
ARISE project, a four-year partnership with eight high schools to create
a three-year, coherent, standards-based high school science sequence.
The project has the potential to extend benefits to any school wishing
to reform its high school science education program.
Adopting and Adapting National Reform Materials
Julie Ellefson Kuehn, William Rainey Harper College
Dennis Lehman, Department of Chemistry, Harold Washington College
The Chicago Consortium to Improve Chemistry, under the auspices of an NSF
grant, is beta testing materials developed by the NSF's Chemistry Systemic
Reform Initiative, MC2 and ChemLinks. This new chemistry curriculum
consists of a series of modules which present general chemistry topics in
the context of "real world" applications. The modules are active, inquiry–based,
and flexible enough to address many leaning styles. The Chicago Consortium,
made up of nine Illinois community colleges, will serve as a model for other
community colleges considering the modular approach to reform the chemistry
curriculum. The implementation of "What Should We Do About Global Warming?"
at two different community colleges will be discussed.
Teaching to the Fluid Mosaic
Valerie VanderVliet, Department of Biology, Lewis University
We will discuss results of a teacher-research study that I am conducting
to explore teaching and learning in an undergraduate, non-major Anatomy and
Physiology course that is my primary teaching responsibility at Lewis University.
I am in the process of transforming this course, moving from a more traditional,
lecture-oriented approach to a more constructivist, inclusive pedagogy.
We will examine the struggles and possibilities that such a transformation
has presented to both myself, the teacher, and my students, and implications
for my future teaching. We will focus on several issues including: my
teaching, my students' learning, my students' and my beliefs about teaching
and learning, and the use of alternative assessments in teaching and learning.
Insights into the relationships between teacher, students, and science will
be discussed.
Recruiting and Retaining Math and Science Majors
John Baldwin, Department of Mathematics, Statistics, and Computer Science,
University of Illinois at Chicago
Beatriz Jamaica, Department of Mathematics, Statistics, and Computer Science,
University of Illinois at Chicago
Michael Mimnaugh, Department of Chemistry and Physics, Chicago State University
and students
This panel will address the recruitment and retention of undergraduate Science,
Engineering and Mathematics Majors. The programs of the Chicago Alliance
for Minority Participation will be discussed and student representatives will
report on their effects. Particular attention will be paid to the use
of auxiliary workshops to increase retention of first year students, the
recruiting of transfer students from 2 year colleges, and the role of undergraduate
research assistantships and conferences in attracting students to scientific
careers.
Preparing Undergraduates to Teach Mathematics
Kathryn Chval, Department of Mathematics, Statistics, and Computer Science,
University of Illinois at Chicago
Math "Concentrators" at UIC teach three university classes under the direction
of Professor David A. Page: Introduction to Calculus (MTHT 466);
Introduction to Number Theory (MTHT 467); and Geometry (MTHT 468).
Elementary education students teach unfamiliar mathematics while learning
to teach. Before going "on stage," they have a dress rehearsal.
Come to this session and discuss an innovative way to have students teach
their own university classes while studying mathematics and its teaching.
Reform courses: changes in teaching technique and measuring the effect
Judith Baxter,
John Wood, Department of Mathematics, Statistics, and Computer Science,
University of Illinois at Chicago
We invite participants to discuss the changes in what students, TAs, and
faculty do which go along with changes in content in reform courses.
We also report on methods of studying the results of course reform, tracking
students' performance in later courses.
May 10 Plenary Talks and Break-out Sessions
- Plenary
Talks
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- Bios of Plenary Speakers
Sheila Tobias, Author and Lecturer
Ms. Sheila Tobias, a lecturer on education reform and writer
for the Research Corporation, has made a science and an art
of promoting curricular reform from the outside. Educated
in history and literature and having served as a university
administrator and college trustee, she has tackled the question
of why intelligent and motivated college students have task-specific
disabilities in certain disciplines, particularly mathematics
and science. She has authored six books, including: Overcoming
Math Anxiety (1978, revised ed. 1994); They're Not Dumb
They're Different: Stalking the Second Tier (1990); Revitalizing
Undergraduate Science: Why Some Things Work and Most Don't
(1992); and Rethinking Science as a Career: Perceptions
and Realities in the Physical Sciences with Daryl E. Chubin
and Kevin Aylesworth (1995). Her work in science and
mathematics avoidance and anxiety has been funded by the Lilly
Endowment, the Rockefeller and Ford Foundations, and the Fund
for the Improvement of Postsecondary Education in the Department
of Education.
Philip Uri Treisman, University of Texas at Austin
Dr. Philip Uri Treisman received the 1987 Charles Dana Award
for Pioneering Achievement in American Higher Education and
was named a MacArthur Fellow in 1992. In 1989, Newsweek
selected him as one of 25 Americans on the leading edge of
innovation, one of three in education. His PhD thesis,
A Study of the Mathematics Performance of Black Students at
the University of California, Berkeley, provided the theoretical
basis for supplementary workshops for calculus courses.
His insights and the example of his program at Berkeley spurred
the national growth of such workshops. Treisman's later work
with high school teachers in California and Texas demonstrated
again that he is one of the leading experts on the development
of programs aimed at increasing minority participation in
mathematics. He is an active member of many national
committees, advisory boards, and commissions concerned with
mathematics education and mathematical and scientific manpower.
Abstracts for Plenary Sessions
What Makes Science "Hard"?
Sheila Tobias, Author and Lecturer on Education Reform in
Science and Mathematics
Science is perceived of as difficult. But does it have to
be more difficult than other subjects? In a ground-breaking
series of research projects, using experienced learners in
disciplines other than science, Sheila Tobias found issues
of overview, sequence, verbal ambiguities, pace, nature of
exams, and the absence of "community" to be issues that science
teachers could address as a way of increasing the success
rate of their students.
The University's Role in Supporting the Teaching of Advanced
High School Mathematics and Science Courses
Philip Uri Treisman, Professor of Mathematics and Director
of the Dana Center for Mathematics and Science Education,
University of Texas at Austin
There are surprisingly large differences by state in the percentages
of students successfully completing advanced high school mathematics
and science courses. What accounts for the differences,
and what roles do the standards and reform movement play in
the demography of course taking? The talk will explore
these questions giving specific attention to the new strategies
for increasing course enrollment used in the Texas model,
which is managed by the UT College of Natural Sciences.
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Abstracts
for Break-out Sessions
Conclusions from the Third International Mathematics and Science
Study (TIMSS)
John Baldwin, Department of Mathematics, University of Illinois
at Chicago
The following statements are based on either the results of
the TIMSS or the questions posed in the study:
1. U.S. fourth graders score above average in both mathematics
and science compared with the 26 nations in the TIMSS fourth-grade
assessment.
2. U.S. fourth grade students were overrepresented in the top
10 percent on the science test but underrepresented on the mathematics
test.
3. U.S. eighth graders score below average in mathematics achievement
and above average in science achievement, compared to the 41
nations in the TIMSS assessment.
4. U.S. eighth grade students were overrepresented in
the top 10 percent on the science test but significantly underrepresented
on the mathematics test.
5. The content taught in U.S. eighth-grade mathematics classrooms
is at a seventh-grade level in comparison to other countries.
6. The TIMSS test included multistep problems which tested understanding.
7. These results were not achieved because only an elite
few were tested in the other countries.
In the session, I will present 7-10 slides or graphs to support
the statements above, and then let people talk about finer points.
The Mathematics in a Reform Elementary Math Curriculum
Cathy Kelso, Institute for Science and Mathematics Education,
University of Illinois at Chicago
Following the publication of the three National Council of Teacher
of Mathematics (NCTM) Standards documents, the National Science
Foundation funded the development of thirteen comprehensive
mathematics curricula for grades K-12. The Teaching Integrated
Math and Science (TIMS) Project at UIC received funding to develop
one of the three elementary curricula, Math Trailblazers.
This session will introduce university faculty to the mathematics
in Math Trailblazers using examples of lessons from the curriculum.
Discussion of the use of these materials in pre-service education
classes will be included.
Active Learning in General Chemistry
Mark Walter, Department of Chemistry, Oakton Community College
Chemistry faculty from nine Illinois community colleges have
formed a consortium that serves an annual credit enrollment
of over 157,000 students and an annual chemistry enrollment
of over 6,000 students. The consortium is composed of
community colleges from urban, suburban, and rural communities:
Oakton Community College, The City Colleges of Chicago, College
of DuPage, College of Lake County, Triton College, William Rainey
Harper College, McHenry County College, Illinois Eastern--Olney
Central, and Joliet Junior College. This consortium will reform
first-year chemistry curricula on member campuses by adapting
and adopting the materials produced by the Modular Chemistry
Consortium (MC2) and the ChemLinks Coalition (ChemLinks) to
meet the needs of students enrolled in community colleges.
These materials were developed by two of the projects funded
by the current National Science Foundation (NSF) chemistry initiative.
The new chemistry curriculum will be active and inquiry-based, flexible
enough to address the many learning styles represented by a
diverse student population, and more relevant to the lives of
the students. The process of adapting and adopting will
be an active collaboration between the consortium faculty and
representatives of MC2 and ChemLinks. The process will
also involve partnerships with industry and professional organizations.
This project, entitled Consortium to Improve Chemistry: Linking
Nine Community Colleges with the National Science Foundation's
Chemistry Systemic Reform Initiative, will extend the
impact of the current NSF systemic chemistry initiative by serving
as a model for other community colleges considering the modular
approach to reform of the first-year chemistry curriculum.
Because nearly half of the nation's college students are enrolled
in community colleges and a large portion of future teachers
receive their science education at a community college, the
potential impact of this project is significant.
In this session, the results of the first year of teaching with
the modules will be presented.
Panel: Basal Science Courses
Panelists:
Carolyn Narasimhan, Associate Dean, College of Liberal Arts
and Sciences, and Department of Mathematics, DePaul University
Uday Sukhatme, Associate Vice-Chancellor for Academic Affairs,
and Department of Physics, University of Illinois at Chicago
Marian Wilson-Comer, Executive Director, ChAMP, Williams Science
Center, Chicago State University
There is ample evidence to show that a majority of college students
are afraid and unsure of their chances for success in
science and engineering disciplines. Even those who do
declare science majors, often opt for biology, a science perceived
to be less quantitative than the physical sciences. This
situation is more pronounced for minority students. Our
panel will discuss the possibility of developing a basal science
course to convey some of the excitement of scientific ideas
to entering college students. The panel will present their
thoughts on the usefulness of such a course along with some
concrete suggestions for course content taken from various branches
of science. Suggestions from the audience should be helpful
in bringing a sharper focus to this idea.
Improving Student Learning in a Gatekeeper Course: The Honors
Workshop in Biology at Northwestern
Kenneth Bain
Director, Searle Center for Teaching Excellence, Northwestern
University
In recent years, Biology B10, a year-long course with 300 students,
has presented major difficulties to many students, especially
minority students, interested in careers in the life sciences.
To address their problems, we developed an experimental program
based on the approach Uri Treisman developed for introductory
calculus at UC Berkeley and later at UT Austin. Our experimental
Honors Workshops involved about 35 students in the 1997-98 course
and produced a large, statistically significant increase in
the grades of minority students and a smaller, but significant,
increase in the grades of other students. These results
were replicated with 56 participants in 9 groups in the fall
1998 quarter. In this session we will discuss the possible explanation
for the increase in grades and offer practical suggestions for
implementing similar programs in other disciplines.
University and Community College Collaborations in Excellence
in Teacher Preparation
Naomi Fisher, Department of Mathematics, University of Illinois
at Chicago
Philip Wagreich, Department of Mathematics, University of Illinois
at Chicago
The National Science Foundation recently awarded a three-year
grant for organizing a Collaborative for Excellence in Teacher
Preparation (CETP) to the University of Illinois at Chicago
and six community colleges, Harold Washington College, Oakton
Community College, Olive-Harvey College, Triton College, Truman
College, and William Rainey Harper College. Broadly stated,
the UIC-CC CEPT is designed to improve the mathematics and science
preparation of preservice teachers and to increase the number
of students preparing to enter the teaching profession.
In the session, we shall discuss the plans for the newly formed
collaborative and its extension to include other institutions.
Insights from the experiences of CETPs in Los Angeles and New York
City will also be presented.
Thoughts on Developing and Supporting Mathematics and Science
Teachers: The role of university and college departments
Philip Uri Treisman, Director of the Dana Center for Mathematics
and Science Education, and Department of Mathematics, University
of Texas at Austin
The session will describe efforts aimed at two different populations
relevant to improving mathematics and science instruction.
An overview of model strategies that have dramatically increased
the number of mathematics and science majors pursuing teaching
certificates will be presented, and some new approaches to supporting
large numbers of practicing middle and high school teachers
will be discussed.
Panel: Teaching Introductory Mathematics Courses
Panelists:
Kim Meyer, Department of Mathematics and Computer Science, Chicago
State University
David Rutschman, Department of Mathematics, Northeastern Illinois
University
Michelle Smith, Pre-Credit Mathematics, Olive-Harvey College
Kathryn Talley, Institutional Research, Olive-Harvey College
Introductory mathematics courses include developmental/remedial,
general education (traditional, "liberal arts", etc), service,
and the "entry into the major" courses. The stated, and
more often unstated, goals of these courses vary depending on
student needs and institutional expectations. Wide variation
in pedagogies coexist within and between institutions.
This workshop will provide a forum for discussing our experiences
with such courses, our successes, our failures, our problems
and maybe some solutions. We will address issues such
as the reliance on part-time faculty, alternative pedagogies,
assessment, and retention.
The Panel will also raise the question of reform in the developmental
sequences: "Back to Basics" or "Less is More"? Is
earlier intervention better or do students need to establish
their fundamentals before entering a reform curriculum?
Part of this issue resides in the pain and performance of students
who encounter reform curricula for the first time.
Kim Meyer:
Most of Chicago State University's student body -- approximately
85% of whom are African-American and two-thirds of whom are
female -- graduated from the city's public schools. More
than three-quarters of them, however, test into pre-college
level mathematics, reading, and/or English. When these
students encounter reform mathematics at the Calculus level,
they not only struggle with their accelerated learning curves,
but they also wrestle with reading the problems and manipulating
the technology. Moreover, in spite of completing the remedial
sequence, most students do not perform routine procedures automatically
and without error. In response to these issues, CSU has
implemented a reform precalculus program and designed a reform
developmental sequence. This talk will focus on how CSU has
tried to balance students' procedural deficits with the reform philosophy.
David Rutschman:
I will talk about the introductory courses in the major, i.e.,
precalculus and calculus, and changes we have made at Northeastern.
Michelle Smith and Kathryn Talley:
At Olive-Harvey, all beginning students must take College Board
placement exams in math, reading, and writing prior to registering
for classes. In a typical term, only 5% of these new students
score at the college level in math. To deal more effectively
with the large number of students requiring remediation, a pilot
program, The T3 Program at Olive-Harvey, based on mastery learning
concepts was designed. We will discuss the project, its
results, and its lessons for improving remedial math education.
The Rosenbaum Foundation Seminar in Algebra at the University
of Chicago
Robert Fefferman, Department of Mathematics, University of Chicago
In this session, I will discuss seminars for high school teachers
which are presently conducted at the University of Chicago.
The purpose of the seminars is to show high school mathematics
teachers various curricular materials and some mathematical
ideas which are new to them. These seminars feature the
book on algebra by Gelfand, and several of the Singapore secondary
texts, as well as material that I have added.
The Development of Scientific Literacy
Jon D. Miller, Vice President, Chicago Academy of Sciences
Abstract not available.
Math Anxiety: An Update
Sheila Tobias, Author and Lecturer on Education Reform in Science
and Mathematics
In this workshop, Sheila Tobias, author of Overcoming Math Anxiety
and Succeed with Math, will review the origins of math anxiety
and its "cure." A video tape illustrating a "Math Anxiety
course" will also be shown for discussion and application to
teachers' own levels of teaching will be solicited from the
audience.
Workshop Model: Peer-Led Team Learning
Pratibha Varma-Nelson, Department of Chemistry, Saint Xavier
University, Chicago.
Student Presenters: Michelle Cooper, Patrick McCullough
and Vasso Melachrinidis.
The Workshop Chemistry Project has developed a peer-led team
learning model of teaching that actively engages students in
the learning process by having them solve carefully structured
problems in small groups under the direction of a peer leader.
Peer-led workshops are an effective way to engage large numbers
of students with course material and each other. Improved
performance and retention, development of communication and
team skills, higher motivation and course satisfaction are among
the benefits of the workshop approach. This presentation
will introduce the theoretical and practical elements of Workshop
model, the development of workshop materials, and the training of
peer leaders. Faculty roles and responsibilities as well
as issues surrounding the implementation and institutionalization
of workshops will be discussed. Participants will experience
a condensed version of a workshop as students that have been
peer leaders facilitate the discussion of one of the workshop
units. Faculty from all disciplines are invited
to attend with the purpose of adapting this approach to their
own disciplines.
Panel: Models for Programs/Courses in Mathematics for
Preservice Teachers
Panelists
Mercedes McGowen, Department of Mathematics, William Rainey
Harper College
Judith Merlau, Department of Mathematics, University of Illinois
at Chicago
Regeta Slaughter, Department of Mathematics, DePaul University,
and Assistant Principal, Future Commons High School, Chicago
Public Schools
Panelists will discuss selected preservice mathematics courses
at their respective institutions. Please see following
page for descriptions.
Mercedes McGowen:
The mathematics content courses for preservice elementary teachers
offered at Harper consist of two, four-semester credit courses,
each of which meets five hours/week. Using an integrated
problem-solving approach that is designed to stimulate conceptual
change, students explore open-ended mathematical tasks that
provide opportunities for reflection and reinvention of mathematical
ideas, as well as reveal how students are thinking.
Activities based on mathematics education research are designed
to reflect the objectives of (i) broadening and deepening preservice
teachers' understanding of the complexities of teaching and
learning mathematics; (ii) encouraging students to develop reflective
practices; and (iii) introducing them to the scholarship of
teaching---making direct connections between what they are learning
and ways in which they might be expected to use that knowledge.
These activities provide the preservice elementary teachers
with experiences which result in changes in their attitudes
about mathematics and engage them in professional practices
that inform their instructional, pedagogical and theoretical
perspectives.
The preservice content courses at Harper were recently recognized
by NSF and AMATYC as one of eleven exemplary programs for preservice
elementary teacher preparation and were featured at a national
conference on the Role of Two-Year Colleges in Preservice Teacher
Preparation.
Judith Merlau:
I am a lecturer in the math department at UIC and serve as coordinator
for the 2 semester courses we require all preservice elementary
majors to complete. The first course, MATH 140, introduces
a problem solving approach to mathematics and emphasizes patterns,
pictures, models, and algebra in exploring set theory, whole
numbers, integers, and rational numbers. The second course,
MATH 141, continues the emphases from MATH 140 in the contexts
of plane geometry, solid geometry, probability, and statistics.
We try to offer students experiences that model current thinking
about exemplary practices in mathematics and to create opportunities
for students to develop the deeper understanding of mathematical
ideas needed by teachers while providing support to students
with less previous experience and/or success in thinking about
mathematical ideas.
One of the interests I have with respect to the courses is attention
to connections - between different sections of the courses,
between topics within a course, between topics in MATH 140 and
in MATH 141, and between these content courses, their later
methods courses, and their eventual practice of teaching mathematics.
Regeta Slaughter:
I am currently teaching two courses at DePaul University:
MAT 110 and MAT 111- Math for Elementary Teachers. MAT
110 covers arithmetic and geometric sequences, basic set theory,
models for addition, subtraction, multiplication and division,
and rational numbers. MAT 111 covers statistics, plane
geometry, probability and problem solving applications.
There is a wide range in ability of the students. To address
instructional issues, students are also introduced to the NCTM
Standards, and are required to write article reviews on issues
of mathematics in the classroom. Group activities are
structured in class to model instruction that can be used in the
classroom setting.
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