### Hands-on Geometry Explorations

Sarah J Greenwald, Appalachian State University

walking or driving an angle sum
stringing the Pythagorean theorem
surfing a TNB frame
I-4 on the sphere
### Introduction to Mathematics

class activities and assignments

geometry of the earth and universe segment questions

geometry intro with walking or driving an angle sum

earth intro with stringing the Pythagorean theorem

parallels and perspective lab

2D universe lab

universe lab
### Introduction to Geometry

class activities and assignments

worksheet on axiomatic systems, measurement and constructions

worksheet on similarity

worksheet on modeling using the sphere and similarity

worksheet on Pythagorean theorem

worksheet on analytic/metric perspectives

worksheet on polyhedra

worksheet on equidistant water reservoir

angle sums in various geometries

worksheet on hyperbolic geometry I

worksheet on hyperbolic geometry II

worksheet on Desargues' theorem
### Differential Geometry

class activities and assignments

curves and homework2maple.mw

research, investigate and present a surface
curvature2.mw gcandmchw.mw

surfing a TNB frame

Thanks to the many people who inspired me in my hands-on geometry teaching activities. They include

*Experiencing Geometry* David Henderson and Daina Taimina
2020 version and 2004 solutions

Mathematics with Eye and Hand and The Decline and Rise of Geometry Walter Whiteley
home page

Spherical Easel Applet David Austin and William Dickinson