Problem Solving Workshop
July 6 - July 9, 2020
Gabriella Weisberg | Terry Webber
Josue Cordones | Wan Park
Gabriella Weisberg | Terry Webber
Josue Cordones | Wan Park
Welcome! We're glad that you've stumbled upon this workshop. [Updated 2020.07.07: This workshop is about developing teachers' abilities to integrate the process of problem solving in their courses. Mathematics is not just a set of closed procedures, but thinking about a problem, mathematizing it, and using different strategies to come to a solution.]
Our goal is to help you create a unit of study in problem solving for your students.
What do you want to accomplish in this workshop?
What are some interesting problems to think about?
What learning experiences will you provide to your students in your unit of study?
Whole Group Circle
Small Group: Introduction
The Rabbit Problem
Calibration of the goal for this workshop
Start working on the Problem Solving unit
"What comes next?": How we can integrate the process of problem solving in our units. Revisit Question No. 2
[Updated: The Path of the Billiard Ball]
"Problem solving" in your course: a unit vs. integrated
Vegan McNuggets Problem
What do we want to leave with by Thursday afternoon?
Debrief readings (Journal examples + Problem Solving Unit)
Model of problem solving "in class"
Present a problem: Pennies and Paper Clip Game (3 teams: Blue, Yellow, Green)
Clarifying Q&A
Work on the problem (12 minutes: on paper or online of your choosing)
Prompts for math journal (Choose your platform: Google Form, Jamboard, paper, blogger)
What came to your mind at the moment you saw the problem? (Reaction)
What did you do first (and why)? (Approach)
How did it work? (Solution)
Did it work? How do you know?
Come back together and share
Journal entries
Work
Extension questions
Resources and platforms
Q&A
Problem: Full of Beans
For the past 3 months, how did you select problems to use in class?
Matching interesting open-ended low-floor high-ceiling problems with "contents"
How do we "organize" problems to be useful our courses? (hierarchical, tag-based, etc.?)
In breakout rooms, "do the work" of reading each problem and tagging/organizing and what is exactly what you want to teach?