Learning and Teaching Mathematics with Maps

Haiwen ChuLaurie Rubel

Lauren Shookhoff

This material is based upon work supported by the National Science Foundation under Grant Nos. 0742614 and 0119732. Any opinions, findings, and conclusions or

recommendations expressed in this material are those of the authors and do not necessarily reflect the views of the National Science Foundation.

Centering the Teaching of Mathematics of Urban Youth

A two-year professional development and research project partnered with two schools in two communities in Brooklyn.

Theoretical Framework

Culturally relevant pedagogy • Academic achievement• Cultural competence• Critical consciousness

(Ladson-Billings, 1995)

Culturally relevant

mathematics pedagogy • Teaching mathematics for

understanding• Mathematizing local

contexts• Critiquing power in and

with mathematics

(Rubel, 2008)

Program ActivitiesSummer Institutes

All-day Professional Development Workshops

School-Based Meetings

Maps, mapping, and math

Scavenger Hunts with Students

Community Data and TeachingMathematics for Understanding

Perspectives on Maps

• Purpose

• Perspective

• Power

• Representation

Four levels of scale

• Global

• National

• Regional

• Local

http://www.radicalcartography.net/GLOBAL

Mercator Projection

GLOBAL

Peters Projection

GLOBAL

GLOBAL

GLOBAL http://calabarboy.com/

Rankin, 2008

http://www.radicalcartography.net/GLOBAL

www.worldmapper.orgGLOBAL

NATIONAL www.worldmapper.org

Newman, 2008NATIONAL

http://popvssoda.com:2998/NATIONAL

http://www.urbagram.net/archipelago/REGIONAL

Fisher, 2010REGIONAL

Centre for Advanced Spatial Analysis, 2010REGIONAL

http://www.nycsubway.org/maps/historical.htmlNew York Times, May 2010REGIONAL

http://www.verysmallarray.com/?p=419REGIONAL

Steinberg, 1976; Kalman & Meyerowitz, 2001REGIONAL

http://blog.online.allenschool.edu/wp-content/uploads/2009/08/nyc-population-map-1024x498.jpg

LOCAL

LOCAL http://www.socialexplorer.com/

http://www.justicemapping.org/LOCAL

New York Times, 7/2010LOCAL

Zillow.com, 10/10LOCAL

LOCAL www.spotcrime.com

Mathematical Topics

• Proportion and Scale

• Diffusion and Dispersion

• Frequency and Intervals

• Distance

• Metrics and Indices

• Topography

• Representation

Mapping Worlds http://show.mappingworlds.com/world/

Strange Maps http://bigthink.com/blogs/strange-maps

Centre for Advanced Spatial Analysis http://www.casa.ucl.ac.uk/

Worldmapper http://www.worldmapper.org/

Radical Cartography http://www.radicalcartography.net/

Zillow http://www.zillow.com

New York Subway maps http://www.nycsubway.org/maps/historical.html

Spot Crime http://www.spotcrime.com

UrbaGram Archipelago http://www.urbagram.net/archipelago/

Social Explorer http://www.socialexplorer.com/pub/home/home.aspx

Justice Mapping http://www.justicemapping.org/

Resources

Contact information

achu@gc.cuny.edulrubel@brooklyn.cuny.edu