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did pythagoras study in africa: Stolen Legacy George G. M. James, 2013-04-08 For centuries the world has been misled about the original source of the Arts and Sciences; for centuries Socrates, Plato and Aristotle have been falsely idolized as models of intellectual greatness; and for centuries the African continent has been called the Dark Continent, because Europe coveted the honor of transmitting to the world, the Arts and Sciences. It is indeed surprising how, for centuries, the Greeks have been praised by the Western World for intellectual accomplishments which belong without a doubt to the Egyptians or the peoples of North Africa. |
did pythagoras study in africa: Mathematics in African History and Cultures Paulus Gerdes, 2007 This volume constitutes an updated version of the bibliography published in 2004 by the African Mathematical Union. The African Studies Association attributed the original edition a 'ÂÂspecial mention'ÂÂ in the 2006 Conover-Porter Award competition. The book contains over 1600 bibliographic entries. The appendices contain additional bibliographic information on (1) mathematicians of the Diaspora, (2) publications by Africans on the history of mathematics outside Africa, (3) time-reckoning and astronomy in African history and cultures, (4) string figures in Africa, (5) examples of books published by African mathematicians, (6) board games in Africa, (7) research inspired by geometric aspects of the 'ÂÂsona'ÂÂ tradition. The book concludes with several indices (subject, country, region, author, ethnographic and linguistic, journal, mathematicians). Professor Jan Persens of the University of the Western Cape (South Africa) and president of the African Mathematical Union (2000-2004) wrote the preface. |
did pythagoras study in africa: Pythagoras Christoph Riedweg, 2012-03-27 One of the most important mathematical theorems is named after Pythagoras of Samos, but this semi-mythical Greek sage has more to offer than formulas. He is said to have discovered the numerical nature of the basic consonances and transposed the musical proportions to the cosmos, postulating a harmony of the spheres. He may have coined the words cosmos and philosophy. He is also believed to have taught the doctrine of transmigration of souls and therefore to have advised a vegetarian diet. Ancient legends have Pythagoras conversing with dogs, bears, and bulls. A distinctly Pythagorean way of life, including detailed ritual regulations, was observed by his disciples, who were organized as a secret society. Later, Pythagorean and Platonic teachings became fused. In this Platonized form, Pythagoreanism has remained influential through medieval Christianity and the Renaissance down to the present. Christoph Riedweg's book is an engaging introduction to the fundamental contributions of Pythagoras to the establishment of European culture. To penetrate the intricate maze of lore and ascertain what history can tell us about the philosopher, Riedweg not only examines the written record but also considers Pythagoras within the cultural, intellectual, and spiritual context of his times. The result is a vivid overview of the life and teachings of a crucial Greek thinker and his most important followers. |
did pythagoras study in africa: History of Mathematics in Africa: 1986-1999 Paulus Gerdes, Ahmed Djebbar, 2011 |
did pythagoras study in africa: The African Origin of Greek Philosophy Innocent Chilaka Onyewuenyi, 2005 Have you ever doubted Greek origin of Western Philosophy or wondered about the irony that Greek government persecuted Socrates and Plato for corrupting the youth? This volume shows that African priest-scholars of the Egyptian Mystery System originated philosophy; that Thales, Pythagoras, Plato, Aristotle lived in Africa and studied under these priests. Some Greek historians: Plutarch, Diogenes Laertius, Herodotus, Plato, Aristotle; and modern writers: William Stace, Alfred Benn, James Breasted, etc. testify to Greeks' studentship in Egypt. Citing Egyptian texts, the author reveals that the doctrines of Greek philosophers have their prototypes in earlier Egyptian philosophy. However, in their determination to maintain racial and intellectual superiority over Africans, Western historians, since the 18th century, subverted history by attributing the origin of philosophy to the Greeks. The author calls for the restoration of 'truth' to the history of the 'king' of disciplines---Philosophy. |
did pythagoras study in africa: African Pythogoras Paulus Gerdes, 2011 AFRICAN PYTHAGORAS: A study in culture and mathematics education shows how diverse African ornaments and artefacts may be used to create an attractive context for the discovery and the demonstration of the Pythagorean Theorem and of related ideas and propositions. (first full colour edition, 124 pp.) |
did pythagoras study in africa: African Pythagoras Paulus Gerdes, 1994 |
did pythagoras study in africa: Not Out of Africa M. Lefkowitz, 1998 |
did pythagoras study in africa: Lore and Science in Ancient Pythagoreanism Walter Burkert, 1972 For this first English edition of his distinguished study of Pythagoreanism, Weisheit und Wissenschajt: Studien zu Pythagoras, Philolaos, und Platon, Walter Burkert has carefully revised text and notes, taking account of additional literature on the subject which appeared between 1962 and 1969. By a thorough critical sifting of all the available evidence, the author lays a new foundation for the understanding of ancient Pythagoreanism and in particular of the relationship within it of lore and science. He shows that in the twilight zone when the Greeks were discovering the rational interpretation of the world and quantitative natural science, Pythagoras represented not the origin of the new, but the survival or revival of ancient, pre-scientific lore or wisdom, based on superhuman authority and expressed in ritual obligation. |
did pythagoras study in africa: Contemporary Critical Thought in Africology and Africana Studies Molefi Kete Asante, Clyde Ledbetter, 2015-12-30 Although traditional academic circles rarely celebrate the work of African or African American thinkers because performers and political figures were more acceptable to narrating histories, this work projects the ideas of several writers with the confidence that Africology, the Afrocentric study of African phenomena, represents an oasis of innovation in progressive venues. The book brings together some of the most discussed theorists and intellectuals in the field of Africology (Africana Studies) for the purpose of sparking further debate, critical interpretations and extensions, and to reform and reformulate the way we approach our critical thought. The contributors' Afrocentric approach offers new interpretations and analysis, and challenges the predominant frameworks in diverse areas such as philosophy, social justice, literature, and history. |
did pythagoras study in africa: The Pythagorean Theorem Eli Maor, 2019-11-19 Frontmatter --Contents --List of Color Plates --Preface --Prologue: Cambridge, England, 1993 --1. Mesopotamia, 1800 BCE --Sidebar 1: Did the Egyptians Know It? --2. Pythagoras --3. Euclid's Elements --Sidebar 2: The Pythagorean Theorem in Art, Poetry, and Prose --4. Archimedes --5. Translators and Commentators, 500-1500 CE --6. François Viète Makes History --7. From the Infinite to the Infinitesimal --Sidebar 3: A Remarkable Formula by Euler --8. 371 Proofs, and Then Some --Sidebar 4: The Folding Bag --Sidebar 5: Einstein Meets Pythagoras --Sidebar 6: A Most Unusual Proof --9. A Theme and Variations --Sidebar 7: A Pythagorean Curiosity --Sidebar 8: A Case of Overuse --10. Strange Coordinates --11. Notation, Notation, Notation --12. From Flat Space to Curved Spacetime --Sidebar 9: A Case of Misuse --13. Prelude to Relativity --14. From Bern to Berlin, 1905-1915 --Sidebar 10: Four Pythagorean Brainteasers --15. But Is It Universal? --16. Afterthoughts --Epilogue: Samos, 2005 --Appendixes --Chronology --Bibliography --Illustrations Credits --Index. |
did pythagoras study in africa: Researching Mathematics Education in South Africa Renuka Vithal, Jill Adler, Christine Keitel, 2005 Reflecting on the theoretical and ideological work that has contributed to the growth of mathematics education research in South Africa, this study provides a historical analysis of forces that have changed and shaped mathematics curricula over the years. The themes researched and explored include radical pedagogy, progressive classroom practices, ethnomathematics, and South African mathematics education research within both its local and international contexts. |
did pythagoras study in africa: The African Origin of Civilization Cheikh Anta Diop, 1974 From the Publisher: Edited and translated by Mercer Cook. Laymen and scholars alike will welcome the publication of this one-volume translation of the major sections of C.A. Diop's two books, Nations negres et culture and Anteriorite des civilizations negres, which have profoundly influenced thinking about Africa around the world. It was largely because of these works that, at the World Festival of the Arts held in Dakar in 1966, Dr. Diop shared with the late W.E.B. DuBois an award as the writer who had exerted the greatest influence on Negro thought in the 20th century. |
did pythagoras study in africa: Proof and Proving in Mathematics Education Gila Hanna, Michael de Villiers, 2012-06-14 *THIS BOOK IS AVAILABLE AS OPEN ACCESS BOOK ON SPRINGERLINK* One of the most significant tasks facing mathematics educators is to understand the role of mathematical reasoning and proving in mathematics teaching, so that its presence in instruction can be enhanced. This challenge has been given even greater importance by the assignment to proof of a more prominent place in the mathematics curriculum at all levels. Along with this renewed emphasis, there has been an upsurge in research on the teaching and learning of proof at all grade levels, leading to a re-examination of the role of proof in the curriculum and of its relation to other forms of explanation, illustration and justification. This book, resulting from the 19th ICMI Study, brings together a variety of viewpoints on issues such as: The potential role of reasoning and proof in deepening mathematical understanding in the classroom as it does in mathematical practice. The developmental nature of mathematical reasoning and proof in teaching and learning from the earliest grades. The development of suitable curriculum materials and teacher education programs to support the teaching of proof and proving. The book considers proof and proving as complex but foundational in mathematics. Through the systematic examination of recent research this volume offers new ideas aimed at enhancing the place of proof and proving in our classrooms. |
did pythagoras study in africa: The Forgotten Teboho Pitso, 2023-05-20 The book focuses on uncovering lies and myths that sustain the colonial and European supremacist agendas and restores Africa’s role in originating civilisation, science, mathematics, philosophy, spirituality, and Christianity. It forms part of questioning the deification of Global North episteme as a universal theory. The volume thus contributes to Southern theorisation that draws from multiple practices and lived experiences of those from the austral geographic location (Global South) whose understanding of time is secular. Such theorisation challenges and denounces the imperialist gaze on contemporary science as the sole spectacle and arbiter of its significance in society. The Global South episteme, whose sources are indigenous practices, collective knowing, and collective experiences, has all the right to claim its stake in hallowed spaces of knowledge production. |
did pythagoras study in africa: History in Mathematics Education John Fauvel, J.A. van Maanen, 2006-04-11 This ground-breaking book investigates how the learning and teaching of mathematics can be improved through integrating the history of mathematics into all aspects of mathematics education: lessons, homework, texts, lectures, projects, assessment, and curricula. It draws upon evidence from the experience of teachers as well as national curricula, textbooks, teacher education practices, and research perspectives across the world. It includes a 300-item annotated bibliography of recent work in the field in eight languages. |
did pythagoras study in africa: It Wasn't Me Schmid Almonor, 2012-11 |
did pythagoras study in africa: Africa in the 21st Century Ama Mazama, 2007-11-21 Africa in the 21st Century: Toward a New Future brings together some of the finest Pan African and Afrocentric intellectuals to discuss the possibilities of a new future where the continent claims its own agency in response to the economic, social, political, and cultural problems which are found in every nation. The volume is structured around four sections: I. African Unity and Consciousness: Assets and Challenges; II. Language, Information, and Education; III. African Women, Children and Families; and IV. Political and Economic Future of the African World. In original essays, the authors raise the level of discourse around the questions of integration, pluralism, families, a federative state, and good governance. Each writer sees in the continent the potential for greatness and therefore articulates a theoretical and philosophical approach to Africa that constructs a victorious consciousness from hard concrete facts. This book will interest students and scholars of the history and politics of Africa as well as professional Africanists, Africologists, and international studies scholars who are inclined toward Africa. |
did pythagoras study in africa: How to Unlock Your Genius Using Black History David Simon, 2018-11-24 This unique book uses fiction and non-fiction to tell the story of 150,000 years of Black history. It is about a disgraced Black politician named Percy who runs to a Nigerian therapist to help him save his marriage. The therapist, Dr. Eze gets hold of Black history notes from a local teacher and uses these notes to show Percy how to explore his mind and his people's history in order to find solutions to his problems. |
did pythagoras study in africa: Geometry from Africa Paulus Gerdes, 1999-09-30 This book draws on geometric ideas from cultural activities from Subsaharan Africa to develop mathematical reasoning. |
did pythagoras study in africa: African Empires and Civilizations : Ancient and Medieval George O. Cox, 1974 |
did pythagoras study in africa: What Mathematics from Africa? Giandomenico Sica, 2005 |
did pythagoras study in africa: The Life of Pythagoras Iamblichus, 1919 |
did pythagoras study in africa: AFRICA THE WAY FORWARD O GAWAIN AKO, 2013-02-08 The hour of reawakening is now. Mother Africa beckons to her children in love. Africa moves forward and there will be happiness once more. Her beauty will radiate in harmony with the Will of the Creator. She will cry no more. True leaders will arise in this time of judgement and the noble woman of Africa will recognize her calling and she will be called the true mother. True knowledge shall once more descend on the inhabitants, spiritual maturity will be seen in the nobility and deeds of her sons. Africa the way forward clarifies and readdresses the confusion that surrounds the African lands today. From governance to spirituality and religion, it tries to simplify and re directs the seeker to the eternal unchangeable Truth which can only break the stronghold of the darkness and destroy it. This book directs he who reads without prejudice to the right path of freedom and liberation. |
did pythagoras study in africa: The Oxford Encyclopedia of African Thought Abiola Irele, 2010 From St. Augustine and early Ethiopian philosophers to the anti-colonialist movements of Pan-Africanism and Negritude, this encyclopedia offers a comprehensive view of African thought, covering the intellectual tradition both on the continent in its entirety and throughout the African Diaspora in the Americas and in Europe. The term African thought has been interpreted in the broadest sense to embrace all those forms of discourse - philosophy, political thought, religion, literature, important social movements - that contribute to the formulation of a distinctive vision of the world determined by or derived from the African experience. The Encyclopedia is a large-scale work of 350 entries covering major topics involved in the development of African Thought including historical figures and important social movements, producing a collection that is an essential resource for teaching, an invaluable companion to independent research, and a solid guide for further study. |
did pythagoras study in africa: International Handbook of Comparative Large-Scale Studies in Education Trude Nilsen, Agnes Stancel-Piątak, Jan-Eric Gustafsson, 2022-09-21 This handbook is the first of its kind to provide a general and comprehensive overview of virtually every aspect of International Large Scale Assessment (ILSA). It includes historical, economic, and policy perspectives, theoretical foundations, methodology, and reviews of findings from analyses of ILSA data. After decades, during which ILSAs have generated knowledge within central areas of education research and gained increased and substantial impact on educational policy, practice and research, such a broad overview for a wide-ranging audience is much needed. With contributions from authors and editors from all continents, this handbook appeals to an international audience and keeps a neutral perspective, not favoring one ILSA over another. The handbook is suitable to be read by politicians, researchers and stakeholders who are seeking an overview of ILSAs, their history and development, and both potential benefits and limitations with regard to policy implications. The reviews of findings from studies analyzing ILSA data will be of interest to stakeholders, teachers, researchers, and policymakers. Considering that the reviews extend to all fields pertaining to educational research, the book will be valuable to all researchers interested in education. Students may use the book to learn about ILSAs in the context of policy, theoretical underpinnings, or research. Moreover, the methodology section is written in a manner that is understandable and accessible for students, stakeholders, or researchers not familiar with these data. This methodology part, however, is also a valuable resource for researchers who are familiar with ILSA data, as it provides overviews of the design and sampling procedures of several ILSAs, and includes advice on methods of analysis.Even the owners of the ILSAs may find the book valuable, as it contains overviews and insights into a number of ILSAs, provides information how the data is used by the research community, and includes recommendations for future instruments. |
did pythagoras study in africa: Diversity and the Study of Antiquity in Higher Education Daniel Libatique, Fiona McHardy, 2023-04-12 This volume explores how the study of antiquity can be made relevant and inclusive for a diverse range of 21st century students by bringing together perspectives from colleagues working in higher education at different career stages, roles, and from different backgrounds in the US, UK, and Greece. This collection of chapters addresses issues related to inclusive practice and diversity in Classics Higher Education, especially in the US and the UK. Recent debates within the discipline have highlighted inequality of access to traditional classical education, and a growing number of initiatives and projects have begun to address the range of sources and topics that form part of a modern classical education. The discipline is wide-ranging, including study of ancient Greek and Latin language and literature (the traditional core of Classics), as well as opportunities to study the ancient history, philosophy, religion, mythology, material culture and archaeology of the Greco-Roman period. Significant progress has been made over recent years in incorporating the study of gender and sexuality within classical degree programmes, and increasingly programmes are being enriched through broadening the geographical reach of topics on the curriculum beyond Europe. More care is also being taken over selection of scholarly reading to represent more fully the range of voices contributing to the discipline. But more work remains to be done. Diversity and the Study of Antiquity in Higher Education is of interest to anyone teaching Classics, especially in the US and UK, as well as scholars and researchers in the field who are interested in issues of diversity. |
did pythagoras study in africa: Eastward Odyssey: Spiritual Discourses and African Adventures (Lectures from Colombo to Almora by Swami Vivekananda/ First Footsteps in East Africa by Sir Richard Francis Burton) SWAMI VIVEKANANDA, Sir Richard Francis Burton, 2024-06-21 Book 1: Embark on a spiritual journey with “Lectures from Colombo to Almora” by SWAMI VIVEKANANDA. Immerse yourself in the insightful discourses that traverse the spiritual landscapes from Colombo to Almora. Vivekananda's profound teachings offer a transformative experience, guiding readers on a path of self-realization and inner awakening. Book 2: Complementing this spiritual odyssey is “First Footsteps in East Africa” by Sir Richard Francis Burton, an adventurous exploration of East Africa. Burton's vivid accounts of discovery and encounters in a land of mystery and beauty provide a fascinating contrast to the spiritual discourses. This combination invites readers on a dual odyssey, blending the spiritual and the adventurous for a holistic reading experience |
did pythagoras study in africa: Geometry Activities from Many Cultures Beatrice Lumpkin, 1997 Heighten student awareness in the application of geometry from different cultures.. Topics covered range from the beginning of geometry to its use in modern times. |
did pythagoras study in africa: African American Philosophers and Philosophy Stephen Ferguson II, John McClendon III, 2019-06-13 This book presents the first introduction to African American academic philosophers, exploring their concepts and ideas and revealing the critical part they have played in the formation of philosophy in the USA. The book begins with the early years of educational attainment by African American philosophers in the 1860s. To demonstrate the impact of their philosophical work on general problems in the discipline, chapters are broken down into four major areas of study: Axiology, Social Science, Philosophy of Religion and Philosophy of Science. Providing personal narratives on individual philosophers and examining the work of figures such as H. T. Johnson, William D. Johnson, Joyce Mitchell Cooke, Adrian Piper, William R. Jones, Roy D. Morrison, Eugene C. Holmes, and William A. Banner, the book challenges the myth that philosophy is exclusively a white academic discipline. Packed with examples of struggles and triumphs, this engaging introduction is a much-needed approach to studying philosophy today. |
did pythagoras study in africa: Thirty Years of Literacies Testing at the University of Cape Town Alan Cliff, |
did pythagoras study in africa: African Thought in Comparative Perspective Ali A. Mazrui, 2014-03-25 African Thought in Comparative Perspective showcases how adept Ali Mazrui, the most prolific writer on Africa today, is at using complex conceptual apparatuses to categorize and synthesize Africa’s political and social thought. This book, thus, offers an original interpretation of the knowledge that has been accumulated over the years, and which is of timeless relevance. It covers such themes as the legacy of the African liberation movements, the convergence and divergence of African, Islamic and Western thought, nationalist ideologies in Africa, the role of religion in African politics, and the impact of Ancient Greek philosophy on contemporary Africa. |
did pythagoras study in africa: Ethnomathematics Arthur B. Powell, Marilyn Frankenstein, 1997-04-17 This collection brings together classic, previously published articles and new research to present the emerging field of ethnomathematics from a critical perspective, challenging particular ways in which Eurocentrism permeates mathematics education. The contributors identify several of the field's broad themes—reconsidering what counts as mathematical knowledge, considering interactions between culture and mathematical knowledge, and uncovering hidden and distorted histories of mathematical knowledge. The book offers a diversity of ethnomathematics perspectives that develop both theoretical and practical issues from various disciplines including mathematics, mathematics education, history, anthropology, cognitive psychology, feminist studies, and African studies written by authors from Brazil, England, Australia, Mozambique, Palestine, Belgium, and the United States. |
did pythagoras study in africa: African American Rhetoric(s) Elaine B Richardson, Ronald L Jackson, 2007-02-12 African American Rhetoric(s): Interdisciplinary Perspectives is an introduction to fundamental concepts and a systematic integration of historical and contemporary lines of inquiry in the study of African American rhetorics. Edited by Elaine B. Richardson and Ronald L. Jackson II, the volume explores culturally and discursively developed forms of knowledge, communicative practices, and persuasive strategies rooted in freedom struggles by people of African ancestry in America. Outlining African American rhetorics found in literature, historical documents, and popular culture, the collection provides scholars, students, and teachers with innovative approaches for discussing the epistemologies and realities that foster the inclusion of rhetorical discourse in African American studies. In addition to analyzing African American rhetoric, the fourteen contributors project visions for pedagogy in the field and address new areas and renewed avenues of research. The result is an exploration of what parameters can be used to begin a more thorough and useful consideration of African Americans in rhetorical space. |
did pythagoras study in africa: School Science Practical Work in Africa Umesh Ramnarain, 2020-06-01 School Science Practical Work in Africa presents the scope of research and practice of science practical work in African schools. It brings together prominent science educators and researchers from Africa to share their experience and findings on pedagogical innovations and research-informed practices on school science practical work. The book highlights trends and patterns in the enactment and role of practical work across African countries. Practical work is regarded as intrinsic to science teaching and learning and the form of practical work that is strongly advocated is inquiry-based learning, which signals a definite paradigm shift from the traditional teacher-dominated to a learner-centered approach. The book provides empirical research on approaches to practical work, contextual factors in the enactment of practical work, and professional development in teaching practical work. This book will be of great interest to academics, researchers and post-graduate students in the fields of science education and educational policy. |
did pythagoras study in africa: Modelling and Applications in Mathematics Education Peter L. Galbraith, Hans-Wolfgang Henn, Mogens Niss, 2007-12-05 The book aims at showing the state-of-the-art in the field of modeling and applications in mathematics education. This is the first volume to do this. The book deals with the question of how key competencies of applications and modeling at the heart of mathematical literacy may be developed; with the roles that applications and modeling may play in mathematics teaching, making mathematics more relevant for students. |
did pythagoras study in africa: Africa Yosef Ben-Jochannan, 1988 In lecture/essay format, Dr. Ben identifies and corrects myths about the inferiority and primitiveness of the indigenous African peoples and their descendants. Order Africa Mother of Western Civilization here. |
did pythagoras study in africa: Long Walk to Freedom Nelson Mandela, 2008-03-11 Essential reading for anyone who wants to understand history – and then go out and change it. –President Barack Obama Nelson Mandela was one of the great moral and political leaders of his time: an international hero whose lifelong dedication to the fight against racial oppression in South Africa won him the Nobel Peace Prize and the presidency of his country. After his triumphant release in 1990 from more than a quarter-century of imprisonment, Mandela was at the center of the most compelling and inspiring political drama in the world. As president of the African National Congress and head of South Africa's antiapartheid movement, he was instrumental in moving the nation toward multiracial government and majority rule. He is still revered everywhere as a vital force in the fight for human rights and racial equality. Long Walk to Freedom is his moving and exhilarating autobiography, destined to take its place among the finest memoirs of history's greatest figures. Here for the first time, Nelson Rolihlahla Mandela told the extraordinary story of his life -- an epic of struggle, setback, renewed hope, and ultimate triumph. The book that inspired the major motion picture Mandela: Long Walk to Freedom. |
did pythagoras study in africa: International Reflections on the Netherlands Didactics of Mathematics Marja van den Heuvel-Panhuizen, 2019-08-13 This open access book, inspired by the ICME 13 Thematic Afternoon on “European Didactic Traditions”, takes readers on a journey with mathematics education researchers, developers and educators in eighteen countries, who reflect on their experiences with Realistic Mathematics Education (RME), the domain-specific instruction theory for mathematics education developed in the Netherlands since the late 1960s. Authors from outside the Netherlands discuss what aspects of RME appeal to them, their criticisms of RME and their past and current RME-based projects. It is clear that a particular approach to mathematics education cannot simply be transplanted to another country. As such, in eighteen chapters the authors describe how they have adapted RME to their individual circumstances and view on mathematics education, and tell their personal stories about how RME has influenced their thinking on mathematics education. |
did pythagoras study in africa: Learning to teach in post-apartheid South Africa Yusuf Sayed, 2018-11-30 Teacher education programmes seek to provide student teachers with the knowledge and expertise to provide qualtiy teaching and learning in a diverse and challenging school context. Learning to Teach in post-apartheid South Africa: Student Teachers' Encounters with Initial Teacher Education addresses the complexities of teacher education programmes in preparing students to teach. It adds to the knowledge about teacher education, contributing critical understanding of education and the schooling system. The book provides important insights to deepen researchers, academics, teacher education providers, policy-makers, and students' understanding of the importance to address equity, redress, and quality in South African educaiton in a post-apartheid era. This book further helps to build student teachers' capacities to work creatively and to become active and critical agents of transformation. It ultimately outlines the challenges face in designing and delivering successful Inital Teacher Education programmes, and the impact this has on delivering equitable and qualtiy education. |
Awakening of Geometrical Thought in Early Culture
How did our mathematical concepts originate? And how did our science of mathematics come into being? For many mathematicians the answer to the second question has been easy. …
A Philosophical Investigation into African Philosophy as a …
the account of Pythagoras having studied under the Egyptian Mystery Priest-scholars. Speaking about Pythagoras’ education, Agbakoba stated that, “Pythagoras struggled to get into one of …
Pythagoras: Mathematician or Mystic? - euacademic.org
Pythagoras can be seen as a mathematician and a mystical philosopher. His theory of numbers and his mystical philosophy of the transmigration of the soul are outstanding. There are …
Zbl 0840.01001 Gerdes, Paulus African Pythagoras. A study in …
African Pythagoras. A study in culture and mathematics education. (En-glish) Maputo: Instituto Superior Pedag´ogico, 103 p. (1994). In the author’s words, the present book shows “how …
The Egyptian Sources of Pythagoras’ Philosophy: A Study in …
The influence of Egypt in the development of Pythagoras and his philosophy is well documented. Ancient testimonies recorded that Pythagoras undertook his studies in Egypt.
Did Pythagoras Study In Africa (book)
Did Pythagoras Study In Africa: African Pythogoras Paulus Gerdes,2011 AFRICAN PYTHAGORAS A study in culture and mathematics education shows how diverse African …
The African Origins of Greek Philosophy: Ancient Egypt in
The demand of philosophising in Africa has faced a history of criticism that has been particularly Eurocentric and strongly biased. However, that trend is changing with the emergence of core …
The use of semiotic representations in reasoning about similar ...
http://www.pythagoras.org.za Open Access concept that this study focuses on. There is very little literature on students’ understanding of similar triangles using a Euclidean geometry approach, …
Pythagoras and his cult: Unravelling the mysteries of an …
Born around 570 BCE on the island of Samos in the Aegean Sea, Pythagoras’ early life is shrouded in mystery. However, historical accounts suggest that he travelled extensively, …
Did Pythagoras Study In Africa Copy - staging …
African Pythogoras Paulus Gerdes,2011 AFRICAN PYTHAGORAS A study in culture and mathematics education shows how diverse African ornaments and artefacts may be used to …
A study of Pythagoras’ Theorem - people.reed.edu
Pythagoras’Theorem is probably the best-known mathematical theorem. Even most non-mathematicians have some vague idea that it involves triangles and squaring something …
Did Pythagoras Study In Africa (Download Only)
Did Pythagoras Study In Africa: African Pythogoras Paulus Gerdes,2011 AFRICAN PYTHAGORAS A study in culture and mathematics education shows how diverse African …
Paths of the Ancient Sages: A Pythagorean History
Pythagoras was alive. They trained in Egypt; worked for kings of Anatolia; produced some of the finest works of art right in the heart of ancient Persia, for Samos was an island that, from …
“This Maths is better than that Maths” – Exploring Learner …
In this exploratory study, the genetic approach of HOM was used in teaching the Theorem of Pythagoras. Findings indicate that the inclusion of aspects of the history of mathematics …
Did Pythagoras Study In Africa (Download Only)
Did Pythagoras Study In Africa: African Pythogoras Paulus Gerdes,2011 AFRICAN PYTHAGORAS A study in culture and mathematics education shows how diverse African …
Where did Pythagoras’ Theorem originate? Teacher Notes
Students will see the appearance of the theorem in ancient Babylonian and Chinese mathematics, work on some ancient problems, prove Pythagoras’ Theorem, and generate Pythagorean …
Did Pythagoras Study In Africa - staging-gambit2.uschess.org
African Pythogoras Paulus Gerdes,2011 AFRICAN PYTHAGORAS A study in culture and mathematics education shows how diverse African ornaments and artefacts may be used to …
Learners’ algebraic and geometric connections when
Aug 26, 2024 · In this article, we explored Grade 11 learners’ algebraic and geometric connections when solving Euclidean geometry riders. A qualitative interpretive case study …
Mathematics teachers’ levels of technological pedagogical …
that mathematics teaching in South Africa could improve by providing well-designed CPD programmes that address mathematics teachers’ current levels of TPACK and specific ICT …
Solving quadratic equations by completing the square: …
The findings of this study indicate that for teachers to understand the types of errors learners commit when solving quadratic equations by completing the square it is vital for them (errors) …
Awakening of Geometrical Thought in Early Culture
How did our mathematical concepts originate? And how did our science of mathematics come into being? For many mathematicians the answer to the second question has been easy. Mathematics …
A Philosophical Investigation into African Philosophy as a …
the account of Pythagoras having studied under the Egyptian Mystery Priest-scholars. Speaking about Pythagoras’ education, Agbakoba stated that, “Pythagoras struggled to get into one of the …
Pythagoras: Mathematician or Mystic? - euacademic.org
Pythagoras can be seen as a mathematician and a mystical philosopher. His theory of numbers and his mystical philosophy of the transmigration of the soul are outstanding. There are various …
Zbl 0840.01001 Gerdes, Paulus African Pythagoras. A study …
African Pythagoras. A study in culture and mathematics education. (En-glish) Maputo: Instituto Superior Pedag´ogico, 103 p. (1994). In the author’s words, the present book shows “how …
The Egyptian Sources of Pythagoras’ Philosophy: A Study in …
The influence of Egypt in the development of Pythagoras and his philosophy is well documented. Ancient testimonies recorded that Pythagoras undertook his studies in Egypt.
Did Pythagoras Study In Africa (book)
Did Pythagoras Study In Africa: African Pythogoras Paulus Gerdes,2011 AFRICAN PYTHAGORAS A study in culture and mathematics education shows how diverse African ornaments and artefacts …
The African Origins of Greek Philosophy: Ancient Egypt in
The demand of philosophising in Africa has faced a history of criticism that has been particularly Eurocentric and strongly biased. However, that trend is changing with the emergence of core …
The use of semiotic representations in reasoning about similar ...
http://www.pythagoras.org.za Open Access concept that this study focuses on. There is very little literature on students’ understanding of similar triangles using a Euclidean geometry approach, …
Pythagoras and his cult: Unravelling the mysteries of an …
Born around 570 BCE on the island of Samos in the Aegean Sea, Pythagoras’ early life is shrouded in mystery. However, historical accounts suggest that he travelled extensively, gaining …
Did Pythagoras Study In Africa Copy - staging …
African Pythogoras Paulus Gerdes,2011 AFRICAN PYTHAGORAS A study in culture and mathematics education shows how diverse African ornaments and artefacts may be used to create an …
A study of Pythagoras’ Theorem - people.reed.edu
Pythagoras’Theorem is probably the best-known mathematical theorem. Even most non-mathematicians have some vague idea that it involves triangles and squaring something known …
Did Pythagoras Study In Africa (Download Only)
Did Pythagoras Study In Africa: African Pythogoras Paulus Gerdes,2011 AFRICAN PYTHAGORAS A study in culture and mathematics education shows how diverse African ornaments and artefacts …
Paths of the Ancient Sages: A Pythagorean History
Pythagoras was alive. They trained in Egypt; worked for kings of Anatolia; produced some of the finest works of art right in the heart of ancient Persia, for Samos was an island that, from century …
“This Maths is better than that Maths” – Exploring Learner …
In this exploratory study, the genetic approach of HOM was used in teaching the Theorem of Pythagoras. Findings indicate that the inclusion of aspects of the history of mathematics …
Did Pythagoras Study In Africa (Download Only)
Did Pythagoras Study In Africa: African Pythogoras Paulus Gerdes,2011 AFRICAN PYTHAGORAS A study in culture and mathematics education shows how diverse African ornaments and artefacts …
Where did Pythagoras’ Theorem originate? Teacher Notes
Students will see the appearance of the theorem in ancient Babylonian and Chinese mathematics, work on some ancient problems, prove Pythagoras’ Theorem, and generate Pythagorean Triples. …
Did Pythagoras Study In Africa - staging-gambit2.uschess.org
African Pythogoras Paulus Gerdes,2011 AFRICAN PYTHAGORAS A study in culture and mathematics education shows how diverse African ornaments and artefacts may be used to create an …
Learners’ algebraic and geometric connections when
Aug 26, 2024 · In this article, we explored Grade 11 learners’ algebraic and geometric connections when solving Euclidean geometry riders. A qualitative interpretive case study design was …
Mathematics teachers’ levels of technological pedagogical …
that mathematics teaching in South Africa could improve by providing well-designed CPD programmes that address mathematics teachers’ current levels of TPACK and specific ICT …
Solving quadratic equations by completing the square: …
The findings of this study indicate that for teachers to understand the types of errors learners commit when solving quadratic equations by completing the square it is vital for them (errors) to …