Developing Mathematical Ideas
How do we find rational approximations of irrational numbers like pi and sqrt(2)? What happens to the solution sets of equations when we look only for integer solutions? In this course, teachers will deeply investigate fractions (of many flavors), greatest common divisors, and irrational numbers. The course is a set of intricately sequenced questions that engage participants in doing mathematics, providing participants with the opportunity for authentic mathematical discovery. Through this experience, participants develop habits of mind for thinking about and doing mathematics, deepening their mathematical intuition, sense-making, and reasoning skills.
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