Mathematics Education
NewsletterEach year’s Graduate Colloquium Series brings new ideas and opportunities to those who attend the events. Schedules of the numerous programmed events are available through the Graduate Studies Office (http://www.arcadia.edu/academic/default.aspx?id=1317). Two more mathematics education colloquia are scheduled for this year:
TEACHERS
AND MATHEMATICS CURRICULUM MATERIALS: Toward a Theory of Participatory Use
January 31, 2006
Dr. Remillard
will discuss and critique the research on teachers’ use of mathematics
curriculum materials, present a framework for guiding future studies, and offer
recommendations for practice.
Janine Remillard, Ph.D., Associate Professor of Education; Co-P.I., MetroMath: The Center for Mathematics in America’s Cities, Graduate School of Education, University of Pennsylvania
MATHEMATICS AND THE EUROPEAN ENLIGHTENMENT
March
7, 2006
European savants
of the 1700’s called their own age “The Enlightenment”. Led by people
like Voltaire, John Locke and Thomas Jefferson, people tried to put human
affairs on a sound scientific foundation, and to ground science itself in
mathematics. Through the century, one figure, Swiss mathematician and
scientist Leonard Euler, stood at the peak of the mathematical and scientific
world. Euler, who led the scientific academies of Peter the Great,
Ed Sandifer, Ph.D., Professor
of Mathematics, West Connecticut State University; Secretary of the Euler
Society; Columnist, Mathematical Association of
CS409.1 DataStruc/Algo Anal(3) 5:45pm-7:00pm TR Staff
CS428E.1 Prg Lang:
MA422.1 Abstract Algebra(3) 5:45pm-7:25pm MW Yoo
MA442.1 Math Statistics I(3) 4:00pm-5:40pm MW Wolff
MA431.1 Modern Coll Geometry(3)6:00pm-9:10pm R Lee
ED526A.1 Lrng&Assess Ele Math(3) 4:00pm-6:50pm R Appelbaum
ED528A.1 Prom Solv/Prob Pos(3) 7:10pm-10:00pm
ED528B.1 Clinical Math Edu(3) 4:00pm-6:50pm M Appelbaum
ED565B.1 Comp& Tech Math Ed(3) 4:00pm-6:50pm T Staff
Don’t forget the many other courses in education not specifically
in mathematics that may be of interest! Check out the
course offerings at the
These
courses are open to students pursuing a degree or certification, and also to
folks interested in just taking a course or two. Spread the word! Tell friends
and family about the opportunities here at
Here’s
one of the first to be advertising for Summer 2006: The Michigan Math and
Science Scholars program is held at the
Gain an interactive overview
of the algebra expectations for each grade-band (PK–2 , 3–5, 6–8, and 9–12 ) as
defined in NCTM’s Principles and Standards for School Mathematics. These
90-minute E-Workshops will offer approaches and techniques for integrating
algebraic concepts in the classroom, explore selected activities from NCTM’s
journals and Navigating through Algebra publications, provide activities
for classroom implementation, and include a follow-up session to reflect and
discuss the impact of the activities on student learning.
Grades 6-8: http://www.signup4.net/Public/ap.aspx?EID=IMPL70E
Grades 9-12:
http://www.signup4.net/Public/ap.aspx?EID=IMPL72E
Book Review
Eric Gutstein & Bob Peterson (eds).
2005. Rethinking Mathematics: Teaching
Social Justice by the Numbers.
By Patricia Marnien
Tresnan, Mathematics Teacher,
This book edited by Eric Gutstein and Bob Peterson is a collection
of mathematics lessons contributed by a variety of middle school and high
school educators that incorporates mathematics into broader discussions of
social justice. The intent of the book
is to present teachers with nearly ready-made lessons that expose students to a
variety of social issues both in the
The book presents a radical new way of thinking about the teaching of math. The contributors tell of students being engaged in math class in a way that most teachers dream of. Math teachers have always sought out examples and applications that appeal to students: examples that indicate how this material can be useful to the students’ future lives. However, most textbooks and supplemental resources do a woeful job of presenting significantly interesting applications, and teachers struggle to find materials and methods that convince students of the subject’s value. This book presents several units that are designed not only to engage students in the study of math but to also convince them that they can use mathematics to critically examine their world, and take actions to improve it. The idea of being able to engage students on such a level is inspiring and thought-provoking, and will set most teachers to thinking about how to implement at least some aspects of these lessons into the curriculum. The contributions cover such topics as racial profiling, unemployment, wealth distribution, the global labor market, and slavery. The mathematical topics range from fractions and percents to data collection and integrals.
The book will not, of course, take the place of a whole year’s curriculum; but there are lessons that can be fit into or adapted to any math course from the 6th to 12th grades. However, any lesson taken out of or adapted from this book will take a great deal of thought and planning, both in the mathematics and the discussion of the social topic. Since math teachers are not trained in conducting discussions on social issues, some may be uncomfortable making the transition from talking about mathematics to a discussion that critically analyzes social issues, the ramifications they have on students’ lives, and the possible solutions to correcting the world’s inequities. Such a shift can be a daunting undertaking. The chapter contributors, teachers who have successfully implemented these lessons in their classrooms, do an excellent job making suggestions on how to lead such discussions, and also give many examples of common student responses and how to respond to them.
The book
has come under a great deal of criticism, primarily from the conservative
sector. A vocal critic has been Diane
Ravitch, a research professor at
use the subject to steer students into political action.” It is also a vast over-simplification of the
varying cultural attitudes toward education that account for the radical
differences in the way those other countries educate their children. What Diane
Ravitch and other conservative groups seem to be upset about is that the book
seeks to empower the less powerful, the disadvantaged, the discriminated
against. It may spur them into
“political action.”
At the end
of her review, Ravitch emphasized the importance of mathematics education,
saying, “[t]he students who learn this universal language well will be the builders and shapers of technology in
the twenty-first century.” Perhaps Ravitch does not want certain types of
students to be the builders and shapers of the 21st century: the
ones that may upset the status quo, demand equity, correct social ills caused
by unequal wealth distribution, and use math to do it.
Ultimately,
Ravitch’s fears about the future of mathematics education will be unrealized. Traditional curriculums will never be
completely replaced; there is simply too much mathematics to be learned in too
short a time. However, they can be
enriched and made relevant. They can be
better designed to encourage students toward careers in the sciences and in
technology, instead of deterring them from such professions. “Rethinking Mathematics” is one tool to
enable teachers to reframe their beliefs of how to teach and how students can
perceive the study of math. It should be
seen as such: one tool among many to improve the quality of education for our
students. Additional information about math education and other disciplines can
be found at www.rethinkingschools.org.
Announcements:
http://mathforum.org/pow/powstatus.html
The Math Forum now requires a membership to
access their problem of the week materials.
Individual (student and/or teacher/parent) and institutional options are
available.
http://mathforum.org/workshops/tpow.html/
Technology Problems of the Week (tPoWs) take advantage
of interactive mathematics tools such as Java applets, Geometer's Sketchpad,
Fathom, or spreadsheets. Students are invited to use the link "Submit your
answer" to share their solutions, and then "self-mentor" using
specially designed hints, checks, and suggestions for extensions.
http://search.ebay.com/mathematician_W0QQfromZR40
. Try it and see for yourself!
View
the trailer at http://www.miramax.com/proof/
Contact Peter about ideas for this competition, your willingness to serve on a
review board that considers submissions, etc.
Your
AdvisorJ
Peter
Appelbaum does not have any official office hours between semesters. But call
or email because he will likely be in and out of the office most days.
215-572-4476 or appelbaum@arcadia.edu.