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Facilitator's Guide to Ways to Think about Mathematics

Facilitating mathematical investigations with teachers will help improve their teaching! National and state standards suggest that mathematical investigation, problem solving, and exploratory learning should play a central role in mathematics lessons. It is therefore necessary for teachers to experience mathematical explorations as learners themselves. This Facilitator Guide and accompanying CD-ROM provides resources for planning and implementing courses and workshops using Ways to Think About Mathematics by containing: Commentary on the activities Pedagogical suggestions (materials sequencing, promoting active participation, adapting to the needs of particular teachers) Additional reading and problems tied to the content of the main text Sample solutions for all problems and discussion questions

Remember that they're not being asked to prove these statements. they're being
asked to determine which of each pair seems most likely to lead somewhere.
Have the whole group share strategies and "rules of thumb." But don't let the time
get away from you — you need to be sure there's enough time to get to problem
20. Problem 6 (10 minutes) This will be an excellent opportunity for group sharing
and comparing. How do participants think about these problems? Is there
agreement ...