We reported on our discussions from Day 10.
Aki: Just asking a student to create their own problem isn't enough. It is impossible to use all of the student written problems. Problem: How to choose which problem to use with the whole class? We should compare and discuss how many varieties of problems can be done. One missing key point: often each student uses same method over and over. For example: guess and check. It is an important method, but each student needs to use a variety of methods. If we have a variety of solution methods - we have the flexibility. How to facilitate a discussion about different methods? The most important part: Comparing and discussing. How to integrate various methods? How can we use this process to enable benefits?
What might be the benefit of type 3 open ended problems for your students? Here are some of our responses:
Our assignment for Thursday:
Answer all four categories: Developing an open-ended problem for your students (end of Thursday)
We spent the rest of the hour working in groups on creating our problems.
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This material is based upon work supported by the National Science Foundation under DMS-0940733 and DMS-1441467. 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.