Patty Paper Geometry

Written by the best selling author of "Discovering Geometry", Patty Paper Geometry contains 12 chapters of guided and open investigations. Open investigations encourage students to explore their own methods of discovery, and guided investigations provide more direction to students. Use Patty Paper Geometry as a supplement to your geometry program or even as a major course of study. Author: Michael Serra, Pages: 262, paperback, Publisher: Playing It Smart, ISBN: 978-1559530723

"Through frequent use of these exercises, students will develop a better understanding of geometry concepts, sharpen their skills, and have fun with math!"--Page 4 of cover.

Orietta Da Rold provides a detailed analysis of the coming of paper to medieval England, and its influence on the literary and non-literary culture of the period. Looking beyond book production, Da Rold maps out the uses of paper and explains the success of this technology in medieval culture, considering how people interacted with it and how it affected their lives. Offering a nuanced understanding of how affordance influenced societal choices, Paper in Medieval England draws on a multilingual array of sources to investigate how paper circulated, was written upon, and was deployed by people across medieval society, from kings to merchants, to bishops, to clerks and to poets, contributing to an understanding of how medieval paper changed communication and shaped modernity.

The distinctive approach of Henderson and Taimina's volume stimulates readers to develop a broader, deeper, understanding of mathematics through active experience--including discovery, discussion, writing fundamental ideas and learning about the history of those ideas. A series of interesting, challenging problems encourage readers to gather and discuss their reasonings and understanding. The volume provides an understanding of the possible shapes of the physical universe. The authors provide extensive information on historical strands of geometry, straightness on cylinders and cones and hyperbolic planes, triangles and congruencies, area and holonomy, parallel transport, SSS, ASS, SAA, and AAA, parallel postulates, isometries and patterns, dissection theory, square roots, pythagoras and similar triangles, projections of a sphere onto a plane, inversions in circles, projections (models) of hyperbolic planes, trigonometry and duality, 3-spheres and hyperbolic 3-spaces and polyhedra. For mathematics educators and other who need to understand the meaning of geometry.

Ahoy matey! Fear not mathematics. Build ye thinking skills, learn ye coordinates, and a smarter pirate ye will be! Michael Serra combines the challenge of mathematics with the fun adventure of pirates and buried treasure. Play the Buried Treasure game using a rectangle coordinate plane, a polar coordinate system, a spherical surface, and with three-dimensional areas. Use the chapter on cryptography to help solve hidden messages to uncover the pirate loot. Take a journey to sun-drenched tropical islands in search of pirate booty. With a map in your hand, follow clues and solve puzzles, developing your mathematical reasoning skills along the way. Argh, what glorious adventures, the thrill of using math to find pirate treasure!