Learning With Spheres

Looks At Educational Reform In 2 Leading Progressive Princely States In 20Th Century India-Baroda And Mysore. Argues For A Fundamental Remodelling Of Colonial India.

Caldecott Honor winner Grace Lin celebrates math for every kid, everywhere! Manny and his friends Olivia and Mei blow bubbles in this playful introduction to geometry. Manny's wand is a circle. Olivia's wand is a square. Mei's wand is a heart. What shape will their bubbles be? (Surprise! They're all spheres.) Storytelling Math celebrates children using math in their daily adventures as they play, build, and discover the world around them. Joyful stories and hands-on activities make it easy for kids and their grown-ups to explore everyday math together. Developed in collaboration with math experts at STEM education nonprofit TERC, under a grant from the Heising-Simons Foundation.

This book provides a critical edition and an English translation of the chapter on spheres (golādhyāya) from Nityānanda's Sarvasiddhāntarāja, a Sanskrit astronomical text written in seventeenth-century Mughal India. Suitable for those studying and interested in the history of non-western astral sciences.

This book provides, for the very first time, a critical edition and an English translation (accompanied by critical notes and technical analyses) of the chapter on spheres (golādhyāya) from Nityānanda’s Sarvasiddhāntarāja, a Sanskrit astronomical text written in seventeenth-century Mughal India. Readers will learn how terrestrial and celestial phenomena were understood by early modern Sanskrit astronomers using spherical geometry. The technical discussions in this book, supported by the critically edited Sanskrit text and geometric diagrams, offer an opportunity for historians of the astral sciences to understand developments in astronomy in seventeenth-century Mughal India from a more nuanced perspective. These are supplemented through explorations of modernity, mathematics, and mythology and how they thrived within Sanskrit astronomical discourse at the courts of the Mughal emperors. This book will be of interest to historians and philosophers of science, in particular those interested in the history of non-Western astral sciences. The book will be a valuable resource for scholars studying the general history of Sanskrit astronomy in the Indian subcontinent as well as those interested in the technical aspects of Sanskrit and Indo-Persian astronomy in Mughal India.

An historical analysis of religious education in the public sphere -- The root of the problem -- Influential theoretical positions -- Some contemporary responses to old problems -- Addressing assumptions -- Reconceptualising education -- What does it mean to be religious? -- New possibilities for religious education? -- What should religious education aim to achieve in the public sphere? -- Practical considerations : what might this mean for the teacher? -- Epilogue and some practical considerations : what might this mean for a religious education curriculum?

An alternate magic system for the Pathfinder Roll Playing Game

Introduces the shapes of the circle and the sphere, and shows some of the wide variety of circular and spherical forms found in nature and everyday life

Praise for the previous edition [. . .] Dr. Popko’s elegant new book extends both the science and the art of spherical modeling to include Computer-Aided Design and applications, which I would never have imagined when I started down this fascinating and rewarding path. His lovely illustrations bring the subject to life for all readers, including those who are not drawn to the mathematics. This book demonstrates the scope, beauty, and utility of an art and science with roots in antiquity. [. . .] Anyone with an interest in the geometry of spheres, whether a professional engineer, an architect or product designer, a student, a teacher, or simply someone curious about the spectrum of topics to be found in this book, will find it helpful and rewarding. – Magnus Wenninger, Benedictine Monk and Polyhedral Modeler Ed Popko's comprehensive survey of the history, literature, geometric, and mathematical properties of the sphere is the definitive work on the subject. His masterful and thorough investigation of every aspect is covered with sensitivity and intelligence. This book should be in the library of anyone interested in the orderly subdivision of the sphere. – Shoji Sadao, Architect, Cartographer and lifelong business partner of Buckminster Fuller Edward Popko's Divided Spheres is a "thesaurus" must to those whose academic interest in the world of geometry looks to greater coverage of synonyms and antonyms of this beautiful shape we call a sphere. The late Buckminster Fuller might well place this manuscript as an all-reference for illumination to one of nature's most perfect inventions. – Thomas T. K. Zung, Senior Partner, Buckminster Fuller, Sadao, & Zung Architects. This first edition of this well-illustrated book presented a thorough introduction to the mathematics of Buckminster Fuller’s invention of the geodesic dome, which paved the way for a flood of practical applications as diverse as weather forecasting and fish farms. The author explained the principles of spherical design and the three classic methods of subdivision based on geometric solids (polyhedra). This thoroughly edited new edition does all that, while also introducing new techniques that extend the class concept by relaxing the triangulation constraint to develop two new forms of optimized hexagonal tessellations. The objective is to generate spherical grids where all edge (or arc) lengths or overlap ratios are equal. New to the Second Edition New Foreword by Joseph Clinton, lifelong Buckminster Fuller collaborator A new chapter by Chris Kitrick on the mathematical techniques for developing optimal single-edge hexagonal tessellations, of varying density, with the smallest edge possible for a particular topology, suggesting ways of comparing their levels of optimization An expanded history of the evolution of spherical subdivision New applications of spherical design in science, product design, architecture, and entertainment New geodesic algorithms for grid optimization New full-color spherical illustrations created using DisplaySphere to aid readers in visualizing and comparing the various tessellations presented in the book Updated Bibliography with references to the most recent advancements in spherical subdivision methods

What would you do if you disappear into the earth’s Core to find a new civilization? A civilization with plans to use you, to annihilate humanity? What if it was too late to realize that you were taking bullets for the one behind the trigger? Would you sacrifice what you must-who you must? How will you choose between what you know, and what you feel? “I can’t live a lie. I can’t run from my life.” Jacelyn and the Cruman Prince and the Mantlanian Princess choose to stand and fight. To change what must be changed, save what must be saved...and destroy what must be destroyed in the Earth. Will they remain like stars that never saw the sky? Or will they become legends whose names will never die?

Once Chime had been the most promising mage in the land, feted and celebrated for her potential and future role in the kingdom. Then Iris, her young competitor, made a stunning leap in skill and turned Chime's world upside down. Now no longer the most powerful, no longer promised to a prince-- and still unable to harness her magic properly-- Chime was set adrift. As was the new king's cousin-- and former heir-- Lord Muller. Yet when the neighboring kingdom threatened war, Muller and Chime were tasked with uncovering the plot. Both were flawed, yet unwilling to accept a lesser destiny than they had once known. Could this quest be the opportunity for redemption-- or would it lead them to their deaths? Award-winning author Catherine Asaro, creator of The Skolian Empire, creates her first full-length fantasy novel in a world rich with magic and power. Fans who caught a glimpse of the kingdom of Aronsdale in "Moonglow" from the Charmed Destinies collection are...