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Introducing Paulus Gerdes' Ethnomathematics Books By Paulus Gerdes
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"Introducing Paulus Gerdes' Ethnomathematics Books: A Collection of Prefaces, Forewords, Afterwords, and Afterthoughts" contains texts by Ubiratan D’Ambrosio, Bruno D’Amore,... More > Maurice Bazin, Jaime Carvalho, Marcos Cherinda, Joan Conolly, Donald Crowe, Peter Damerow, Hippolyte Fofack, Mohamed Hassan, Márcio Imenes, Abdulcarimo Ismael, Mateus Katupha, Aderemi Kuku, Sarifa Magide, Dubner Medina, Alcido Nguenha, Gaston N’Guérékata, Emília Nhalivilo, Giovanni Nicosia, Jan Persens, Arthur Powell, Harald Scheid, Erhard Scholz, Gert Schubring, Greet Van Keymeulen, and the late Dirk Struik. The colour edition (160 pp.) contains also a reproduction of the covers of the ethnomathematics books.< Less
Introducing Paulus Gerdes' Ethnomathematics Books. A Collection of Prefaces By Paulus Gerdes
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"Introducing Paulus Gerdes' Ethnomathematics Books: A Collection of Prefaces, Forewords, Afterwords, and Afterthoughts" contains texts by Ubiratan D’Ambrosio, Bruno D’Amore,... More > Maurice Bazin, Jaime Carvalho, Marcos Cherinda, Joan Conolly, Donald Crowe, Peter Damerow, Hippolyte Fofack, Mohamed Hassan, Márcio Imenes, Abdulcarimo Ismael, Mateus Katupha, Aderemi Kuku, Sarifa Magide, Dubner Medina, Alcido Nguenha, Gaston N’Guérékata, Emília Nhalivilo, Giovanni Nicosia, Jan Persens, Arthur Powell, Harald Scheid, Erhard Scholz, Gert Schubring, Greet Van Keymeulen, and the late Dirk Struik. This black-and-white edition (134 pp.) contains only the texts. The colour edition (156 pp.)contains also a reproduction of the covers of the ethnomathematics books. Both editions are available in print and as free download.< Less
Enjoy puzzling with biLLies By Paulus Gerdes
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Who of us does not like a pastime that can divert and educate at the same time? The puzzles in this book are accessible to teenagers and adults alike. They may be explored individually or in clubs,... More > either during leisure time or at school. The book presents hundreds of puzzles, which you can solve using some, or all, of the fourteen ‘biLLies’, the pieces of the game. “Warming-up exercises” pave the way for the rest of the book. In the second part of the book you are invited to build sequences of rather similar patterns. In the third part you will discover an interesting secret that will allow you to understand why some puzzles are so difficult. You will also be asked to make certain symmetrical patterns. Each chapter presents activities and puzzles, followed by one or more rounds of questions, answers and solutions. The Appendix explains how the ‘biLLies’ were conceived. (252 pp.)< Less
Lusona: Geometrical Recreations from Africa. Problems and Solutions (in color) By Paulus Gerdes
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The book “Lusona: Geometrical Recreations from Africa. Problems and Solutions” presents ninety problems. Each time, some figures or patterns are given. Although they have different sizes,... More > they are constructed with the same construction rule. The task consists of finding other figures of the same type that are missing in the given sequence of patterns. The figures or patterns presented in this book are in the style of traditional African sand drawings, which are called ‘sona.’ The singular of ‘sona’ is ‘lusona’ in the Tchokwe (Cokwe) language spoken in Eastern Angola and neighboring areas of the Congo. Each of the given figures is composed of only one closed line. This line may cross itself many times and embraces all dots of the reference frame. Forewords by Jaime Carvalho e Silva and Dirk Huylebrouck (in color, 216 pp.)< Less
Drawings from Angola: Living Mathematics (color edition) By Paulus Gerdes
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The children’s book “Drawings from Angola” presents an introduction to an African story telling tradition. The tales are illustrated with marvelous drawings made in the sand. The... More > book tells the stories of the stork and the leopard, the hunter and the dog, the rooster and the fox, and others. It explains how to execute the drawings. The reader is invited to draw tortoises, antelopes, lions, and other animals. The activities proposed throughout the book invite the reader to experiment and to explore the ‘rhythm’ and symmetry of the illustrations. Surprising results will be playfully obtained such as in arithmetic, a way to calculate quickly the sum of sequence of odd numbers. Children will live the beautiful mathematics of the Angolan sand drawings. Answers to the activities are provided. The book can be used both in classrooms and at home. (Color edition, 72 pp.)< Less
African Doctorates in Mathematics. A Catalogue By Paulus Gerdes
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This volume presents a catalogue of over 2000 doctoral theses by Africans in all fields of mathematics, including applied mathematics, mathematics education and history of mathematics. The... More > introduction contains information about distribution by country, institutions, period, and by gender, about mathematical density, and mobility of mathematicians. Several appendices are included (female doctorate holders, doctorates in mathematics education, doctorates awarded by African universities to non-Africans, doctoral theses by non-Africans about mathematics in Africa, activities of African mathematicians at the service of their communities). Paulus Gerdes compiled the information in his capacity of Chairman of the African Mathematical Union Commission for the History of Mathematics in Africa (AMUCHMA). The book contains a preface by Mohamed Hassan, President of the African Academy of Sciences (AAS) and Executive Director of the Academy of Sciences for the Developing World (TWAS). (383 pp.)< Less
Drawings from Angola: Living Mathematics By Paulus Gerdes
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For children from age 8 to 14. “Drawings from Angola” present an introduction to an African story telling tradition. The tales are illustrated with marvelous drawings made in the sand. ... More > The book conveys the stories of the stork and the leopard, the hunter and the dog, the rooster and the fox, and others. It explains how to execute the drawings. The reader is invited to draw tortoises, antelopes, lions, and other animals. The activities proposed throughout the book invite the reader to experiment and to explore the ‘rhythm’ and symmetry of the illustrations. Surprising results will be playfully obtained, such as in arithmetic, a way to calculate quickly the sum of a sequence of odd numbers. Children will live the beautiful mathematics of the Angolan sanddrawings. Answers to the activities are provided. The book can be used both in classrooms and at home. (72 pp.)< Less
Lunda Geometry: Mirror Curves, Designs, Knots, Polyominoes, Patterns, Symmetries By Paulus Gerdes
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The book “Lunda Geometry” explains how the mathematical concepts of mirror curves and Lunda-designs were discovered in the context of the author’s research of ‘sona’,... More > illustrations traditionally made in the sand by Cokwe storytellers from eastern Angola (a region called Lunda) and neighboring regions of Congo and Zambia. Examples of mirror curves from several cultures are presented. Lunda-designs are aesthetically attractive and display interesting symmetry properties. Examples of Lunda-patterns and Lunda-polyominoes are presented. Some generalizations of the concept of Lunda-design are discussed, like hexagonal Lunda-designs, Lunda-k-designs, Lunda-fractals, and circular Lunda-designs. Lunda-designs of Celtic knot designs are constructed. Several chapters were published in journals like ‘Computers & Graphics’ (Oxford), ‘Visual Mathematics’ (Belgrade), and ‘Mathematics in School’ (UK). (198 pp.)< Less
African Basketry: A Gallery of Twill-Plaited Designs and Patterns By Paulus Gerdes
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From the Preface: “Over the years, Paulus Gerdes has established himself as the pre-eminent expert on patterns in African weaving and basketry, and the broader implications of these patterns.... More > … This new book is a broad gallery of plaited African designs. These range over much of the continent while concentrating on those parts of Africa that are closest to his Mozambique center, including Kongo, Mbole and Mangbetu from Congo, Cokwe and Lunda from Angola, Digo from Kenya, Soga from Uganda, Zulu from South Africa, and Makhuwa in Mozambique itself, but including such distant peoples as Bamileke in Cameroon. In Gerdes’ gallery we are shown the love of patterns and symmetries that are the result of centuries of exultant exploration. Enjoy!” Donald W. Crowe Professor of Mathematics, Emeritus University of Wisconsin (220 pp.)< Less
The Bisos Game: Puzzles and Diversions By Paulus Gerdes
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Who does not like a pastime that can divert and educate at the same time? More than 50 puzzles will be presented in this booklet. To solve the puzzles one needs some or all nine pieces of the game. ... More > We will call the pieces bisos. The puzzles involve making figures that display certain properties. For example, with the nine bisos one can form a hexagon (see the front cover). The bisos puzzles and games could be an individual pastime, but can also be used by teachers as activities in clubs or to deepen various concepts of the school curriculum like those of polygons and symmetries. The bisos puzzles and games are accessible to children and adults from six to one hundred years of age. Amuse yourself! (72 pp.)< Less