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Goldenberg, E. Paul; Carter, Cynthia J. – Mathematics Teacher, 2017

A first-year algebra student's curiosity about factorials of negative numbers became a starting point for an extended discovery lesson into territory not usually explored in secondary school mathematics. In this article, the authors, math teachers in Massachusetts, examine how to solve for factorials of negative numbers and discuss how they taught…

Descriptors: Algebra, Secondary School Mathematics, Numbers, Mathematics Teachers

Zahner, William; Dent, Nick – Mathematics Teacher, 2014

Sometimes a student's unexpected solution turns a routine classroom task into a real problem, one that the teacher cannot resolve right away. Although not knowing the answer can be uncomfortable for a teacher, these moments of uncertainty are also an opportunity to model authentic problem solving. This article describes such a moment in Zahner's…

Descriptors: Problem Solving, Mathematics Skills, Mathematics Education, Mathematics Instruction

Kalman, Dan; Teague, Daniel J. – Mathematics Teacher, 2013

Galileo dropped cannonballs from the leaning tower of Pisa to demonstrate something about falling bodies. Gauss was a giant of mathematics and physics who made unparalleled contributions to both fields. More contemporary (and not a person), the Green Monster is the left-field wall at the home of the Boston Red Sox, Fenway Park. Measuring 37 feet…

Descriptors: Mathematics Instruction, Measurement, Motion, Physics