Exploring Discrete Mathematics Summary
Monday - Friday, July 11 - 15, 2011
This week we concentrated on creating teaching materials in our individual subgroups. Each group worked together separately and divided parts of the lesson to individual group members.
Graph Theory (Dan, Olimpia, Timon, and Gabe):
The graph theory group has three objectives with this unit: (1) develop problem solving strategies, (2) notice patterns and test conjectures, and (3) justify and critique ideas. The unit will be designed for middle school and older students but could easily be applied to any high school course.
Mastermind (Trevor, Marcelle, Todd, Mahen):
The modules will be problem based allowing students to apply their own understanding and/or strategies to solve them. Each major question will be accompanied by scaffolding questions and extension problems to allow for differentiated instruction. The questions and teacher resources will be merged to a single document on a question by question basis. The completed unit will include an overview/description, suggested path differentiated by level, and tasks with teacher resources.
The Mastermind group asked the other PCMI participants for suggested strategies (not necessarily optimal). They are still waiting for responses which they can integrate into the unit. In addition, they have been pulling resources from the book "Mastermind Mathematics: Logic, Strategies, and Proofs," Mathew Mitchel printed by Key Curriculum Press.
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With program support provided by Math for America
This material is based upon work supported by the National Science Foundation under Grant No. 0314808 and Grant No. ESI-0554309. Any opinions, findings, and conclusions or recommendations expressed in this material are those of the author(s) and do not necessarily reflect the views of the National Science Foundation.