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Articles 408 Optimization of Cubic Polynomial Functions without Calculus

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Articles

4 0 8 Optimization of Cubic Polynomial Functions without Calculus

Ronald D. Taylor Jr. and Ryan Hansen

412 Are You Connected? Fostering Exploration with Unexpected Graphs

Michael Todd Edwards and Jeffrey A. Reinhardt 418 Explorations with 142857: Connecting the

Elementary with the Advanced Alfinio Flores

4 2 2 Analyzing Online Discourse to Assess Students' Thinking

Randall E. Groth

4 4 6 Connecting Students' Informal Language to More Formal Definitions

Jon D. Davis

451 Reading Texts and Writing Problems to Improve Problem Solving

Ariana Stanca P. Vacaretu

4 5 6 Poverty: Teaching Mathematics and Social Justice

Leah P. McCoy

4 6 3 Building Intuitive Arguments for the Triangle Congruence Conditions

Katrina Piatek-Jimenez

4 6 8 Beyond Teachers' Sight Lines: Using Video Modeling to Examine Peer Discourse Donna Kotsopoulos

Departments

4 0 4 Reader Reflections

407 Call for Manuscripts: Contemporary Issues in Mathematics Curriculum

4 2 8 Media Clips

Pascal's Triangle in Chinese, by Roger W. Turton Effects of Grade Deflation

Edited by Margaret Cibes and James Greenwood 432 Mathematical Lens

Star Polygons Gunhan Caglayan

Edited by Ron Lancaster and Brigitte Bentele

440 442

444 445

467 472 473

479

February Calendar Solutions to Calendar

Edited by Jean McGivney-Burelle and Paul Vicinus

Guide to Advertisers

Call for Manuscripts: 2 0 0 9 Focus Issue Proof: Laying the Foundation

Call for Manuscripts: Teacher Education Save Time! Submit Your Manuscripts Online Delving Deeper

A New Path to the Quadratic Formula Henri Picciotto

Edited by Al Cuoco and E. Paul Goldenberg For Your Information

Publications

Vol. 101, No. 6 • February 2008 | MATHEMATICS TEACHER 4 0 3

Graphing technology has made well-known problems like maximizing the volume of a box made from a rect- angular sheet of cardboard by cutting squares from its corners accessible to precalculus students. In "Optimi- zation of Cubic Polynomial Functions without Calcu- lus" (page 408), Ronald Taylor and Ryan Hansen choose an approach to this type of problem that de- pends on the symmetry of the cubic polynomial and makes use of transformations to produce a solution that does not require calculators or calculus.

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