Culminating Experience Due Dates

=============

Program Uses Culture To Help Math Add Up

The Problem with Words in Mathematics: A Strategy for Differentiated Instruction

The Gateway Arch is NOT a Parabola

In this course, students learn aspects of mathematical modeling used to uncover mathematics used in non-school contexts, most notably the mathematics that underlies activities in other cultures. We will:

Develop a working definition for culture that allows us to examine ethnomathematics in our own community;

Examine the mathematical thought and practice of other cultures and contexts.

Consider how the mathematics found in other traditions can both reflect and influence a culture's heritage and worldview.

The mathematical topics include: cultural connections to number, systems of organization, geometry, and perceptions of time and space, with other topics being considered as they may arise. Participants will be asked to find, construct and document mathematical activities useful in learning mathematics as outlined by the NCTM standards.

Activities and Requirements (Portfolio):

4 Critiques of articles from ISGEm found on line at http://www.rpi.edu/~eglash/isgem.htm

Teach / introduce a multicultural math game / activity

PAPER: "What is "... Compare contrast ethnomathematics, mathematical modeling, multicultural mathematics (see bibliography)

Choose and read one of the books off the bibliography list and report back to class, with outline for other class members.

Alternative algorithm interview

Sacramento Math Trail Model (Saturday session)

Final Exam

(optional) To join the International Study Group on Ethnomathematics (the ISGEm) at $15.00/ year. ISGEm home page address http://www.rpi.edu/~eglash/isgem.dir/isgem.2.htm

Required Texts / Resources :

Orey, D.and Rosa, M.. (online draft). Ethnomathematics as Pedagogical Action.

The Journal of Mathematics and Culture: A Peer – Reviewed Journal Sponsored by the North American Study Group on Ethnomathematics

http://www.ccd.rpi.edu/Eglash/nasgem/jmc/jmc.htm

Ethnomathematics (Paperback) by Ubiratan D’Ambrosio

Publisher: Sense Publishers (June 19, 2006)

ISBN: 9077874763 (available from Amazon.com)

Moses, R. P. & Cobb. C. E. (2002). Radical Equations: Math Literacy and Civil Rights. Beacon Press.

CULTURAL ASSERTIONS AND CHALLENGES TOWARDS PEDAGOGICAL ACTION OF AN ETHNOMATHEMATICS PROGRAM

A Selected Bibliography:

Abreu, G., Bishop, A., & Presmeg, N. (Eds). (2002). Transitions Between Contexts of Mathematical Practices. Kluwer Academic Press: Dordrecht.

Applebaum. (1995). Popular Culture, Educational Discourse, and Mathematics. State University of New York Press.

Ascher, M. & Ascher, R. (1997). Mathematics of the Incas: Code of the Quipu. Dover Press.

Ascher, M. (1991). Ethnomathematics: A Multicultural View of Mathematical Ideas. Brooks Cole.

Bassanezi, R. C (2004). Ensino-Aprendizagem com Modelagem Matemática: uma nova estratégia. Editora Contexto: São Paulo.

Bronfenbrenner, U. (Ed.). (2005). Making Human Beings Human: Bioecological perspectives on human development. Sage Publications: Thousand Oaks, CA.

Closs, M. (1986). Native American Mathematics. The University of Texas Press.

D’Ambrosio, U. (1998). Ethnomathematics: The Art of Technique of Explaining and Knowing. ISGEm. http://www.rpi.edu/%7Eeglash/isgem.htm ).

Eglash, R. (1999). African Fractals: modern computing and indigenous design. Rutgers University Pres.

Ferreira, E. (1998, March). "The concept of fraction among the Krahó Indians in Brazil". Mathematics Teaching. ( Journal of the Association of Teachers of Mathematics). 29 - 30.

Gerdes, P. (1988). "On Culture, Geometrical Thinking and Mathematical Education." Educational Studies in. Dordrecht 19(3). 137- 162

Hall, E. T. (1977). Beyond Culture: Anchor Press. ISBN: 0385124740

ISGEm Newsletter Compilations:

Edition 1: August 1985 - May 1992 Volume 1, Number 1 to Volume 7, Number 2.

Edition 2: November 1992 - May 1998 Volume 8, Number 1 to Volume 13, Number 2.

Knijnik, G. (1992). "An Ethnomathematical Approach in Mathematical Education: A Matter of Political Power. “For the Learning of Mathematics. 13(3). 23 - 26.

Matsumoto, D. (Ed.) (2001). The Handbook of Culture and Psychology. Oxford University Press.

NCTM Yearbooks:

1997: Multicultural and Gender Equity in the Mathematics Classroom; and

1998: The Teaching and Learning of Algorithms in School Mathematics.

Nelson, J. & Williams. (1993). Multicultural Mathematics: Teaching Mathematics From a Global Perspective. Oxford University Press.

Powell & Frankenstein (eds.).(1997). Ethnomathematics. State University of New York Press.

Shirley, L. (1995). "Using Ethnomathematics to Find Multicultural Mathematical Connections." 1995 NCTM Yearbook. National Council of Teachers of Mathematics. 34 - 43.

Toelken, B. (1996). "Folklore and Cultural Worldview." Chapter 7 of The Dynamics of Folklore. Utah State University Press. 263 - 293.

Selin, H. (Ed.). (2000). Mathematics Across Culture: The History of Non - Western Mathematics. Dordrecht, Netherlands: Kulwer Academic Publishers

Zaslavsky, C. (1996). The Multicultural Math Classroom: Bringing in the World.

Portsmouth, NH: Heinemann.

Zaslavsky, C. (1991). Africa Counts. Lawrence Hill Books.

============================

Links to: Alternative Forms of Knowledge Construction in Mathematics at Portland State University - Spring 2006

http://www.media.pdx.edu/Mukhopadhyay/Eglash_060806.asx

http://www.media.pdx.edu/Mukhopadhyay/Ferreira_060806.asx

http://www.media.pdx.edu/Mukhopadhyay/Frankenstein_062206.asx

http://www.media.pdx.edu/Mukhopadhyay/Julie_051106.asx

http://www.media.pdx.edu/Mukhopadhyay/Swetz_051806.asx

Thank you Prof. Swapna Mukhopadhyay
Portland State University
Graduate School of Education
Portland, OR 97207
email: swapna@pdx.edu

Ethnomathematics on the Web

Lectures on Alternative Forms of Knowledge Construction in Mathematics Portland State University 2006

Women Can't Do Math...Or Can They?

Moses, R. P. & Cobb. C. E. (2002). Radical Equations: Math Literacy and Civil Rights. Beacon Press.

Lectures on Alternative Forms of Knowledge Construction in Mathematics
Portland State University 2006