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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
1000 Doctoral Theses by Mozambicans or about Mozambique By Paulus Gerdes
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The books presents in historical order information (author, year, title, university, country) about 535 doctoral theses written by Mozambicans and about 544 doctoral theses about Mozambique written... More > by foreigners. Universities of 33 countries have awarded these doctoral degrees. Includes alphabetic and thematic indices, and various tables (2013, 236 pp.)< Less
1000 Doctoral Theses by Mozambicans or about Mozambique By Paulus Gerdes
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The updated edition contains information (author, year, title, university, country) about 535 doctoral theses by Mozambicans and about 544 doctoral theses about Mozambique written by foreigners.... More > Universities of 33 countries have awarded these doctoral degrees. The book includes alphabetic and thematic indices as well as various tables (2013, 236 pp.). A printed version is also available.< 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
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
The Bisos Game: Puzzles and Diversions (eBook) 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! (eBook, 74 pp.)< Less
Enjoy puzzling with biLLies (eBook) By Paulus Gerdes
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“Enjoy puzzling with biLLies” presents hundreds of puzzles that you can solve using some, or all, of the fourteen ‘biLLies’, the pieces of the game. “Warming-up... More > exercises” pave the way for the rest of the book. To solve the puzzles in this first part of the book, you will not always need all fourteen ‘biLLies’, but only some of them. In the second part of the book you are invited to build sequences of rather similar patterns, starting with a few ‘biLLies’ and then advancing until you construct them with thirteen, or even fourteen, ‘biLLies’. In the third part “Making patterns with the fourteen ‘biLLies’” 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 puzzles are accessible to teenagers and adults alike, and may be explored individually or in clubs (eBook, 254 pp.).< Less
Lusona: Geometrical Recreations from Africa. Problems and Solutions (eBook 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 (eBook in color, 216 pp.)< Less
OTTHAVA: Making Baskets and Doing Geometry in the Makhuwa Culture in the Northeast of Mozambique (eBook color edition) By Paulus Gerdes
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The book analyses practices in the Makhuwa culture, which provide evidence of the geometric considerations operating in basket weaving, and are suitable and appropriate for mathematical and... More > educational exploration. A proper scientific understanding of this knowledge, and the educational value of these manifestations may lead to a better appreciation of the Makhuwa culture, and its contribution to Mozambican culture as a whole. The practices presented in this book belong to the cultural sphere of ‘otthava’ – weaving, plaiting, interweaving, interlacing, braiding – that is, to basket- and mat- weaving. The topics which are analysed are the making of funnels (Chapter 1), hats (Chapter 2), fish traps (Chapter 3), containers (Chapter 4), trays (Chapter 5), dance rattles (Chapter 6), purses (Chapter 7), decorated braids (Chapter 8), baskets and handbags (Chapters 9 and 10), knots (Chapter 11) and circular mats (Appendix 3). (eBook color edition, 292 pp.)< Less
Sona Geometry from Angola. Volume 2: Educational and Mathematical Explorations of African Designs on the Sand By Paulus Gerdes
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The Cokwe of Northeastern Angola were accustomed to illustrate their stories with standardized illustrations drawn on the sand, called ‘sona.’ The first volume of “Sona Geometry... More > from Angola”, entitled “Mathematics of an African Tradition” analyzes and reconstructs the knowledge and expert mathematics inherent in the tradition of the ‘sona.’ The present second volume, entitled “Educational and Mathematical Explorations of African Designs on the Sand,” suggests various opportunities to incorporate and exploit the ‘sona’ in the context of mathematics education, in particular, in secondary, undergraduate and teacher education. “This beautifully illustrated book represents an important educational resource. I’m certain that every mathematics educator, especially at secondary and university levels, would benefit from having access to it” (Mohamed El Tom in the Foreword). Translation and Appendix 1: Darrah Chavey (Beloit, WI, USA); Foreword: Mohamed el Tom (Khartoum, Sudan); 2013, 220 pp.< Less