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There are many sources of good problems to be found. Here, I am including a collection that I enjoy using with students. Some I wrote myself, some I've collected over the years from colleagues, and some I've found online and in books. Where possible, I've included the source or author. If there is a problem here that needs citing, and you know the source, please email me!!
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My favorite problems to write and collect are low threshold, high ceiling types - meaning that many different learners can enter into the problem, and with exploration and appropriate questioning, the problems can go in many interesting and rich directions. I also like problem frames that can be used again and again with different numbers and contexts. I've also written a list of my favorite problem sources and included a booklist for problem solving. If you have a problem that you'd like to share with others, please send it to me! I'd love to add it to my collections.
A Three-Act Task is a mathematics task consisting of 3 distinct parts
The Three Acts of a Mathematics Lesson Explained
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3 Act Tasks (Graham Fletcher) Big Ideas and Questions
Graham Fletcher's Blog: Questioning My Metacognition
Under the Dome (Mike Wiernicki's table of tasks)
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