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September 2014, Volume 108, Issue 2

FEATURES

Pose and Solve Varignon Converse Problems- FREE PREVIEW!
José N. Contreras
Students’ conjectures relating the midpoints of the sides of a quadrilateral are inspired by using The Geometer’s Sketchpad and justified by proofs.

Implementing the Common Core: Applying Shifts to Instruction
Angeline K. Gaddy, Shannon E. Harmon, Angela T. Barlow, Charles D. Milligan, and Rongjin Huang
A classroom vignette illustrates the design principles of focus, coherence, and rigor that frame the Common Core State Standards for Mathematics.

Unit Circles and Inverse Trigonometric Functions
Azael Barrera
A method to determine all the inverse trigonometric functions directly from the unit circle.

Two additional student worksheets (PDF)

Probability and Perception: The Representativeness Heuristic in Action
Yun Lu, Francis J. Vasko, Trevor J. Drummond, and Lisa E. Vasko
Events that seem more representative may be judged more probable, so experiments and proof are needed to help students analyze a mathematical outcome.

Excel file for a dice game (Five Die Toss)

Interpolation and Polynomial Curve Fitting
Yajun Yang and Sheldon P. Gordon
Two methods for precalculus students to find exact-fit polynomials.

Newton polynomial (Excel)
Lagrange polynomial (Excel)