Making Geometry Come Alive! : Student Activities and Teacher Notes

by Alfred S. Posamentier

• ISBN13: 9780761975984
• ISBN10: 0761975985
• Format: Hardcover
• Copyright: 2000-07-22
• Publisher: Corwin Pr

Summary

Please update SAGE UK and SAGE INDIA addresses on imprint page.

Table of Contents

Introduction	v
About the Author	xi
Constructions	1	(29)
Constructing Segments	3	(4)
Constructing Radical Lengths	7	(5)
Trisecting a Circle	12	(4)
Trisecting an Angle	16	(4)
Constructing a Pentagon	20	(4)
Constructing Triangles	24	(6)
Problems of Antiquity	30	(20)
The Pythagorean Theorem	32	(5)
The Golden Rectangle	37	(5)
The Golden Triangle	42	(4)
The Arbelos	46	(4)
Post-Euclidean Theorems	50	(25)
Ptolemy's Theorem	52	(4)
Ceva's Theorem	56	(5)
Stewart's Theorem	61	(5)
Simson's Theorem	66	(4)
Napoleon's Theorem	70	(5)
Non-Euclidean Geometry	75	(20)
Taxicab Geometry	77	(5)
Transformational Geometry--Symmetry	82	(4)
Projective Geometry	86	(5)
Spherical Geometry	91	(4)
Solid Geometry	95	(18)
This Warps It Up	97	(4)
Regular Polyhedra	101	(4)
Cavalieri's Principle	105	(4)
The Jolly Green Giant?	109	(4)
Geometric Applications	113	(23)
Mathematics on a Billiard Table	115	(4)
Bypassing an Inaccessible Region	119	(4)
The Inaccessible Angle	123	(4)
Minimizing distances	127	(5)
Problem Solving--A Reverse Strategy	132	(4)
Geometric Puzzlers	136	(27)
Geometric Fallacies	138	(5)
The Nine-Point Circle	143	(5)
Equicircles	148	(5)
More Equicircles	153	(5)
Locus Methods	158	(5)
Resource A: List of Activities and the NCTM Standards Addressed by Each	163