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Place Value Problems


In this session, we’ll learn how to solve problems related to place value. This is one of the fundamental concepts in arithmetic, something every elementary and middle school mathematics teacher should understand profoundly. Several example puzzles are followed by a rich selection of over 30 additional problems to explore.

This collection of place value problems is suitable for student circles, teacher circles, or the classroom.

Introduction to Finite Systems: Z6 and Z7


You are no doubt familiar with solving linear and quadratic equations with real numbers. However, in much the same way as learning Latin, French, or Spanish gives the language learner a better appreciation of English, so the careful examination of solution techniques in finite number systems adds depth to the mathematics students’ understanding of equation solving. Precision is key when solving linear and quadratic equations in finite number systems where the only available digits are the remainders after dividing by 6 or 7. Discover why in Z7, adding 3 and 4 results in 0, and why the product of 3...