Mapping time, space and the body: indigenous knowledge and mathematical thinking in Brazil

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TABLE OF CONTENTS; FOREWORD; NOTE; FOREWORD; NOTE; INTRODUCTION: Mathematics and the Dream We Share of Inner Peace and Solidarity; MAPPING SPACE: COLONIAL MAP-MAKING AND THE FICTION OF TERRA NULLIUS; The Color Red: Naming the Newfound Land "Brasil"; Mapping Time: Before and After the Arrival of the "White Man"; Mapping the Body: The Body is the Guardian of the Guarani self; INDIGENOUS PEOPLES: A GLOBAL PERSPECTIVE; Who are Indigenous Peoples?; The Movement for Indigenous Rights; HOW THIS BOOK IS ORGANIZED; Part I: The Xingu Indigenous Park in Central Brazil.;Mapping Time, Space and the Body: Indigenous Knowledge and Mathematical Thinking in Brazil brings people, land and numbers together in the fight for justice. On this extraordinary voyage through ancestral territories in central and southern Brazil, the Xavante, Suyá, Kayabi, and other local nations use mapping as a tool to protect their human rights to lands and resources they have traditionally owned and acquired. Mathematics activities inside the classroom and in everyday life help explain how Indigenous Peoples understand the cosmos and protect the living beings that helped create it. The b. TABLE OF CONTENTS FOREWORD NOTE FOREWORD NOTE INTRODUCTION: Mathematics and the Dream We Share of Inner Peace and Solidarity MAPPING SPACE: COLONIAL MAP-MAKING AND THE FICTION OF TERRA NULLIUS The Color Red: Naming the Newfound Land "Brasil" Mapping Time: Before and After the Arrival of the "White Man" Mapping the Body: The Body is the Guardian of the Guarani self INDIGENOUS PEOPLES: A GLOBAL PERSPECTIVE Who are Indigenous Peoples? The Movement for Indigenous Rights HOW THIS BOOK IS ORGANIZED Part I: The Xingu Indigenous Park in Central Brazil. Part II: The Land-Without-Evil in Southern BrazilPart III: People and Numbers in Xavante Land, Central Brazil ACKNOWLEDGMENTS NOTES PART I: THE XINGU INDIGENOUS PARK IN CENTRAL BRAZIL CHAPTER 1: WHEN 1 + 1 ≠ 2: Making Mathematics in Central Brazil A WORLD OF NUMBERS: THE KAYABI, JURUNA, AND SUYÁ OF THE XINGU INDIGENOUS PARK CAXIRI : THE OBLIGATION TO GIVE, TO RECEIVE, AND TO RECIPROCATE BANG-BANG: CAPITALISM, CALCULUS, AND CASTLES OF DREAMS THE DIAUARUM INDIGENOUS SCHOOL: MATHEMATICS IN PRACTICE GIFTS, CURVES AND MACAW FEATHERS FINAL THOUGHTS: MAP-MAKING AS A TOOL FOR LIBERATION. NOTESCHAPTER 2: SHAMANIC MAP-MAKING IN THE BRAZILIAN AMAZON: The Suyá People of the Xingu Indigenous Park SHAMANIC MAP-MAKING Shamanic Mapping and Land Jurisprudence Experienced Human and Animal Hybrids in Amazonian Map-Making The Suyá People of the Xingu Indigenous Park Fact, Fiction, and the Language of Jurisprudence Cosmic Voyagers Twelve Underwater Creatures of the Suyá Cosmos Shamanic Map-Making and the Symbolic Order PART II: THE LAND-WITHOUT-EVIL IN SOUTHERN BRAZIL CHAPTER 3: TUPI-GUARANI APOCALYPTIC VISIONS OF TIME AND THE BODY MAPPING TIME, SPACE AND THE BODY. THE GUARANI POPULATION IN BRAZILTHE TERRA INDÍGENA GUARANI DE ITAÓCA THE SINGER, THE COOK, AND THE TIN CAN GATHERER THE DOCTOR, THE INDIAN AND THE AMBULANCE DRIVER TRAVELERS, MISSIONARIES AND WARRIORS LAND, RECIPROCITY AND NHANDE REKÓ FINAL REMARKS: TURNING THE FUTURE INTO THE PRESENT NOTES CHAPTER 4 MAP-MAKING IN SOUTHERN BRAZIL: Self-Determination and Indigenous Peoples' Rights Mathematics Is Important for the Autonomy of Indigenous Peoples WHO ARE WE TODAY AND WHERE ARE WE LOCATED? SOURCES OF INFORMATION Is There Only One Mathematics? Or Are There Different Mathematics? Xavante Mathematics: "The Two of Us Together"Palikur Mathematics: Geometry Is Everywhere The Palikur Numerical System Mathematics, Justice, and Respect for Human Rights ACKNOWLEDGEMENTS FOR CHAPTER 4 NOTES PART III: PEOPLE AND NUMBERS IN XAVANTE LAND, CENTRAL BRAZIL CHAPTER 5: THE TWO OF US TOGETHER: Xavante Mathematics in Central Brazil Today THE XAVANTE WARRIORS OF THE BRAZILIAN CERRADO BACK TO THE RESERVA INDÍGENA KULUENE IN 1978 THE XAVANTE IN HISTORY: MAPPING TIME, SPACE, AND THE BODY THE XAVANTE SOCIONUMERICAL SYSTEM The Expropriation of the Xavante Socionumerical System.