PI – Dr. Charles P. Funkhouser NSF Funded Project DUE Award #1122823 Native American-based Materials for Integration into Undergraduate Mathematics Courses PI – Dr. Charles P. Funkhouser NSF Funded Project DUE Award #1122823

Contents Summary of Project Goals and Objectives Sample Lesson Plans Wrap-Up

Native American based Materials for Integration into Undergraduate Mathematics Courses Project Summary The purpose of this project is to further develop and enhance mathematics materials for integration into selected undergraduate courses at California State University Fullerton (CSUF), Turtle Mountain CC, and other universities and Tribal colleges which are based in the mathematical traditions of Native American peoples.

Project Objectives and Description Prototypes materials for use in undergraduate courses have been further developed and enhanced. Materials are being piloted at CSUF, TMCC and other universities and community and Tribal colleges. After revisions, the materials will be further tested at Native-serving institutions. Native American and other students will have exposure to traditional mathematics and methods of Native Peoples in their undergraduate curriculum. University and community and Tribal college instructors will have an opportunity to integrate traditional methods and content into the courses they teach.

Continued… The following topics from Native American mathematics are among those which are being integrated: Number theory Numeration systems Topology Measurement Probability and chance Geometry

Continued. . . Additional written and technology-based materials have been developed within the following courses: MATH 303 Fundamental Concepts in Elementary Mathematics MATH 335 Mathematical Probability MATH 380 History of Mathematics MATH 402 Logic and Geometry for the Secondary Teacher MATH 417 Foundations of Geometry.

and finally. The appropriateness of the materials continue to be evaluated with respect to student and instructor utilization. Changes in student and instructor attitudes toward Native American traditional mathematics and intellectual traditions are being assessed. Results of the project, including materials, continue to be disseminated.

Lesson Plan Template Lessons developed follow a standard lesson plan template which includes the following pieces of information: Session Title Integration Point Example Guidepost Approximate Lesson Time Focal Mathematical Content Goals of the Session Methods of Integration into Established Course Multiple Representations Session-Related Questions from the Students or Instructor Imbedded Assessment Opportunities Session-Related Student or Instructor Stories Instructor Materials Participant Materials Session Overview Session Notes Assignments Do Now Do as Preparation for Next Lesson

Sample Lesson Plans (See http://math.fullerton.edu/cfunkhouser) Native American Perspectives on the Earth (Foundations of Geometry) Native American Probability and Visions of Chance (Introductory Probability) Native American Numeration (Mathematics for Elementary Education Teachers) Historical Perspectives on Native American Mathematics (History of Mathematics)

Wrap-Up Special thanks to: Miles Pfahl (Turtle Mountain CC CoPI) Dr. Michael Jacobson (NSF PO) Dr. Patrick Weasel Head (UM PTCL)