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**Combinations Lesson Mike Refici**

This was a lesson from my Selected Topics class. The students respond very well to tactile modeling of these problems, as opposed to just writing on the board. Just a note - the book we are using "Thinking Mathematically" by Blitzer is a great book that has a lot of cool units and applications of Selected Math Topics. I recommend it.

Comments: Glad you are enjoying the book....Dr. S.

**Lessons due April 3**

**Theoretical Probability Lesson Mike Refici** This lesson was wholisitc review of computing theoretical probability which narrowed in the concept of P(at least one). I thought I had some nice questions that promoted higher order thinking which Dr. S. helped me to come up with. I am looking forward to presenting the complete solution to the Monte Hall problem in tomorow's class. It will be interesting to see if any student can give a correct explanation first.

Comments The idea that P(E) + P(complement of E) = 1 is not intuitive for students. When you add the language "at least" or "at most" the process can be more confusing. Be prepared to go over these ideas again, Mike. Dr. S.


 * Lessons due April 17 **

Mike Refici
This was a lesson I created based on a computer simulaiton website. It's a fun activity, and the solutions are not neccessarily what you might expect. I recommend using lots of time at the beginning of this lesson for discussion, and to make sure students really understand the question.

Comments: I totally agree with your recommendations - in fact, I wondered whether they would connect the sample space of 16 equally likely outcomes when two coins are tossed with this alternative way of looking at the same information and the sample space of non equally likely outcomes that results. Did they understand the shift? Dr. S.