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279 results for "gerd"
Lusona: Geometrical Recreations from Africa. Problems and Solutions (eBook in color) By Paulus Gerdes
eBook (PDF): $4.95
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
eBook (PDF): $6.95
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
Paperback: $16.95
Prints in 3-5 business days
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
TINHLÈLÒ, Interweaving Art and Mathematics: Colourful Basket Trays from the South of Mozambique (eBook in color) By Paulus Gerdes
eBook (PDF): $5.95
The book “TINHLÈLÒ, Interweaving Art and Mathematics: Colourful Basket Trays from the South of Mozambique” exhibits and analyses coloured circular winnowing baskets... More > collected since the end of the 1970s (132 pp. colour). Foreword by Aires Aly, Prime Minister of the Republic of Mozambique: "The beauty in the collections of “Tinhléló” winnowing trays both surprises and fascinates the reader." "Tinhléló exist in each family of the vast Mozambique. We need to know that there are no factories for the production of the Tinhléló minalas. Tinhléló knowledge is endogenous knowledge that repeats itself, recreates itself, and adorns itself in the multiplicity of its models, sizes, colours, and functions. No conventional school orients this learning. The families, the remarkable, curious and master artisans, are the ones who are creating and maintaining these products of eloquent usefulness in our families. The families recreate the art of this mathematical weaving!..."< Less
Sona Geometry from Angola. Volume 2: Educational and Mathematical Explorations of African Designs on the Sand (eBook) By Paulus Gerdes
eBook (PDF): $4.95
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
African Pythagoras: A study in culture and mathematics education (eBook) By Paulus Gerdes
eBook (PDF): $4.95
“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... More > demonstration of the Pythagorean Theorem and of related ideas and propositions. (eBook in color, 124 pp.)< Less
Women, Culture and Geometry in Southern Africa (eBook) By Paulus Gerdes
eBook (PDF): $4.95
Expanded edition of award winning book "Women and Geometry in Southern Africa: Suggestions for Further Research", published by the "Universidade Pedagógica" (Mozambique) in... More > 1995. The original book contains chapters on geometrical ideas embedded in basket weaving, bead work, wall decoration, tattooing, and ceramics. The new edition includes a foreword by Sibusiso Moyo (Secretary of the African Mathematical Union Commission on Women in Mathematics in Africa, and Research Director of the Durban University of Technology, South Africa), afterwords by Ubiratan D'Ambrosio (São Paulo, Brazil) and Jens Hoyrup (Roskilde, Denmark), and the papers “Makwe colour inversion, symmetry and patterns” (Northeastern Mozambique) and “Symmetries on mats woven by Yombe women from the area along the Lower Congo." The book contains also a chapter written by Salimo Saide on the geometry of pottery decoration among Yao women (Nyassa Province, Mozambique). (eBook, 276 pp.)< Less
Ethnomathematics and Education in Africa (eBook) By Paulus Gerdes
eBook (PDF): $0.00
New edition of a book originally published in 1995 by the Institute of International Education of the University of Stockholm (Sweden). The book contained a collection of papers on mathematics... More > education and African cultures, dating from the period 1986-1992, published in international journals such as “For the Learning of Mathematics”, “Educational Studies in Mathematics” and “Historia Mathematica.” Besides the original eleven chapters, the present edition contains two new chapters: “Conditions and strategies for emancipatory mathematics education in underdeveloped countries”, and “African slave and calculating prodigy: Bicentenary of the death of Thomas Fuller” (eBook, 284 pp.).< Less
Ethnomathematics and Education in Africa By Paulus Gerdes
Paperback: $22.95
Prints in 3-5 business days
New edition of a book originally published in 1995 by the Institute of International Education of the University of Stockholm (Sweden). The book contained a collection of papers on mathematics... More > education and African cultures, dating from the period 1986-1992, published in international journals such as “For the Learning of Mathematics”, “Educational Studies in Mathematics” and “Historia Mathematica.” Besides the original eleven chapters, the present edition contains two new chapters: “Conditions and strategies for emancipatory mathematics education in underdeveloped countries”, and “African slave and calculating prodigy: Bicentenary of the death of Thomas Fuller” (284 pp.).< Less
Hats from Mozambique – Chapéus de Moçambique (eBook) By Paulus Gerdes
eBook (PDF): $3.95
This booklet “Hats from Mozambique” presents photographs of hats I have collected since the 1980s from the coastal regions of Mozambique. Some of the hats presented here, like the ones... More > from Palma and the hats from Inhambane decorated with band or plane patterns, are exceptional and very rare. The collector trusts that the photographs will convey an impression of the beauty and diversity of hats made in Mozambique, and of the creativity and imagination of the women and men who weave them (eBook, 52 pp.).< Less

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