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Vinogradova, Natalya – MathAMATYC Educator, 2012
Students' experience in using formulas for volumes is often limited to substituting numbers into given formulas. An activity presented in this article may help students make connections between the formulas for volumes of prisms and volumes of pyramids. In addition, some interesting facts from number theory arise, demonstrating strong connections…
Descriptors: Teaching Methods, Mathematics Instruction, Mathematical Formulas, Mathematical Concepts
Kolpas, Sid – MathAMATYC Educator, 2011
Augustus De Morgan (1806-1871) was a significant Victorian Mathematician who made contributions to mathematics history, mathematical recreations, mathematical logic, calculus, and probability and statistics. He was an inspiring mathematics professor who influenced many of his students to join the profession. One of De Morgan's significant books…
Descriptors: Probability, Algebra, Mathematical Formulas, Logical Thinking
Yarema, Connie H.; Hendricks, T. David – MathAMATYC Educator, 2010
Recommendations and standards from various stakeholders in the mathematical preparation of teachers, such as "The Mathematical Education of Teachers" (http://www.cbmsweb.org/MET_Document/chapter_2.htm) and "Beyond Crossroads" (http://beyondcrossroads.amatyc.org/doc/CH6.html), call for courses that emphasize connections within topics in…
Descriptors: Mathematics Instruction, Mathematical Concepts, Mathematical Formulas, Geometric Concepts
McGivney, Ray; McKim, Jim – AMATYC Review, 2006
Interesting problems sometimes have surprising sources. In this paper we take an innocent looking problem from a calculus book and rediscover the radical axis of classical geometry. For intersecting circles the radical axis is the line through the two points of intersection. For nonintersecting, nonconcentric circles, the radical axis still…
Descriptors: Geometry, Calculus, Mathematics Instruction, College Mathematics