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Download or read book Sona Geometry written by Paulus Gerdes and published by . This book was released on 1994 with total page 210 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author: Paulus Gerdes
Publisher: Cambridge University Press
Published: 1999-09-30
Total Pages: 236
ISBN-13: 9780883857151
DOWNLOAD EBOOKThis book draws on geometric ideas from cultural activities from Subsaharan Africa to develop mathematical reasoning.
Download or read book Geometry from Africa written by Paulus Gerdes and published by Cambridge University Press. This book was released on 1999-09-30 with total page 236 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book draws on geometric ideas from cultural activities from Subsaharan Africa to develop mathematical reasoning.
Author: Paulus Gerdes
Publisher: Polimetrica s.a.s.
Published: 2006
Total Pages: 232
ISBN-13: 9788876990557
DOWNLOAD EBOOK"This volume provides readers with a glimpse into Paulus Gerdes's seminal work on the mathematics of an African tradition - 'sona' geometry, a drawing and narrative tradition from Angola with embedded mathematical ideas. The work represented in this book contributes significantly to efforts by other African mathematicians and mathematics educators to recuperate and valorize mathematical ideas and reasoning that reside in African material culture and cultural practices [...]. Moreover, Gerdes is a prolific contributor of work that reinforces a growing literature available in English of a dynamic research program in ethnomathematics. Uncoveirng the mathematical ideas embedded in a Cokwe cultural practice and providing access to the richness of these ideas are part of the concerns of ethnomathematics. As an ethnomathematician, Gerdes is not a neutral researcher but rather a public intellectual committed to finding ways not only to understand the mathematics of the Cokwe 'sona' tradition but also to raise important questions such as [...] when he observes that the profoundness of the mathematical ideas expressed in the 'sona' 'had started to build up.' With this, his reader is then prompted to ask questions: What happened to the building up of the 'sona' tradition and its mathematical ideas? Why was this development arrested? Answering these questions along with enjoying the beautiful presentation of the mathematics of the 'sona' tradition are the gifts that readers will receive from this wonderful volume"--Arthur B. Powell, p. [4] of cover.
Download or read book Sona Geometry from Angola written by Paulus Gerdes and published by Polimetrica s.a.s.. This book was released on 2006 with total page 232 pages. Available in PDF, EPUB and Kindle. Book excerpt: "This volume provides readers with a glimpse into Paulus Gerdes's seminal work on the mathematics of an African tradition - 'sona' geometry, a drawing and narrative tradition from Angola with embedded mathematical ideas. The work represented in this book contributes significantly to efforts by other African mathematicians and mathematics educators to recuperate and valorize mathematical ideas and reasoning that reside in African material culture and cultural practices [...]. Moreover, Gerdes is a prolific contributor of work that reinforces a growing literature available in English of a dynamic research program in ethnomathematics. Uncoveirng the mathematical ideas embedded in a Cokwe cultural practice and providing access to the richness of these ideas are part of the concerns of ethnomathematics. As an ethnomathematician, Gerdes is not a neutral researcher but rather a public intellectual committed to finding ways not only to understand the mathematics of the Cokwe 'sona' tradition but also to raise important questions such as [...] when he observes that the profoundness of the mathematical ideas expressed in the 'sona' 'had started to build up.' With this, his reader is then prompted to ask questions: What happened to the building up of the 'sona' tradition and its mathematical ideas? Why was this development arrested? Answering these questions along with enjoying the beautiful presentation of the mathematics of the 'sona' tradition are the gifts that readers will receive from this wonderful volume"--Arthur B. Powell, p. [4] of cover.
Author: Daniel Ness
Publisher: Taylor & Francis
Published: 2017-05-12
Total Pages: 274
ISBN-13: 1317531183
DOWNLOAD EBOOKSpatial Intelligence examines public and professional conceptions of the relationships between thinking about spatial attributes and active engagement in spatially related constructions and designs. Even though children’s and adolescents’ spatial propensities in constructive activities parallel the skills needed by professionals in both established and emerging fields, spatial education is often missing from K–12 curricula and is easily impeded by teachers, parents, or other individuals who do not provide contexts in formalized settings, such as schools, to nurture its potential. This book bridges the gap by linking the natural spatial inclinations, interests, and proclivities of individuals from a variety of cultures with professional training and expertise in engineering, architecture, science, and mathematics. Educators will be better able to achieve the skills and awareness necessary to provide children and young adults with the vital opportunities inherent in spatial education.
Download or read book Spatial Intelligence written by Daniel Ness and published by Taylor & Francis. This book was released on 2017-05-12 with total page 274 pages. Available in PDF, EPUB and Kindle. Book excerpt: Spatial Intelligence examines public and professional conceptions of the relationships between thinking about spatial attributes and active engagement in spatially related constructions and designs. Even though children’s and adolescents’ spatial propensities in constructive activities parallel the skills needed by professionals in both established and emerging fields, spatial education is often missing from K–12 curricula and is easily impeded by teachers, parents, or other individuals who do not provide contexts in formalized settings, such as schools, to nurture its potential. This book bridges the gap by linking the natural spatial inclinations, interests, and proclivities of individuals from a variety of cultures with professional training and expertise in engineering, architecture, science, and mathematics. Educators will be better able to achieve the skills and awareness necessary to provide children and young adults with the vital opportunities inherent in spatial education.
Author: Paulus Gerdes
Publisher: Lulu.com
Published: 2008-06-26
Total Pages: 204
ISBN-13: 1435726294
DOWNLOAD EBOOKThe 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', 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).
Download or read book Lunda Geometry: Mirror Curves, Designs, Knots, Polyominoes, Patterns, Symmetries written by Paulus Gerdes and published by Lulu.com. This book was released on 2008-06-26 with total page 204 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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', 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).
Download or read book Sona Geometry from Angola written by Paulus Gerdes and published by . This book was released on 2006 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author: Mary Rosenberg
Publisher: Classroom Complete Press
Published: 2009-12-01
Total Pages: 34
ISBN-13: 1553198123
DOWNLOAD EBOOKBecome an expert of 2- and 3-dimensional shapes with area, volume and surface area. Our resource provides task and word problems surrounding real-life scenarios. Measure angles with a protractor to determine whether they are acute, right or obtuse. Find the missing angle on a quadrilateral. Learn the different parts of a circle and how to calculate the radius, diameter and circumference. Find the pair of lines that are parallel, perpendicular, intersecting, and skew. Calculate the area of squares, rectangles, parallelograms, triangles, circles, and trapezoids. Then, find the volume of cubes and rectangular prisms. Finally, measure the surface area of spheres, cylinders, cubes, and rectangular prisms. The task sheets provide a leveled approach to learning, starting with grade 6 and increasing in difficulty to grade 8. Aligned to your State Standards and meeting the concepts addressed by the NCTM standards, reproducible task sheets, drill sheets, review and answer key are included.
Download or read book Geometry - Task Sheets Gr. 6-8 written by Mary Rosenberg and published by Classroom Complete Press. This book was released on 2009-12-01 with total page 34 pages. Available in PDF, EPUB and Kindle. Book excerpt: Become an expert of 2- and 3-dimensional shapes with area, volume and surface area. Our resource provides task and word problems surrounding real-life scenarios. Measure angles with a protractor to determine whether they are acute, right or obtuse. Find the missing angle on a quadrilateral. Learn the different parts of a circle and how to calculate the radius, diameter and circumference. Find the pair of lines that are parallel, perpendicular, intersecting, and skew. Calculate the area of squares, rectangles, parallelograms, triangles, circles, and trapezoids. Then, find the volume of cubes and rectangular prisms. Finally, measure the surface area of spheres, cylinders, cubes, and rectangular prisms. The task sheets provide a leveled approach to learning, starting with grade 6 and increasing in difficulty to grade 8. Aligned to your State Standards and meeting the concepts addressed by the NCTM standards, reproducible task sheets, drill sheets, review and answer key are included.
Author: Paulus Gerdes
Publisher: Lulu.com
Published: 2010-01-01
Total Pages: 294
ISBN-13: 0557382904
DOWNLOAD EBOOKIn the book "Otthava: Making Baskets and Doing Geometry in the Makhuwa Culture in the Northeast of Mozambique" I reflect on practices in the Makhuwa culture, which provide evidence of the geometric considerations operating in basket weaving, and are suitable and appropriate for mathematical and 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. The practices I present 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, hats, fish traps, containers, trays, dance rattles, purses, decorated braids, baskets and handbags, knots and circular mats (292 pp.) Colour versions of the photographs in the book are published in a separate supplement.
Download or read book Otthava written by Paulus Gerdes and published by Lulu.com. This book was released on 2010-01-01 with total page 294 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the book "Otthava: Making Baskets and Doing Geometry in the Makhuwa Culture in the Northeast of Mozambique" I reflect on practices in the Makhuwa culture, which provide evidence of the geometric considerations operating in basket weaving, and are suitable and appropriate for mathematical and 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. The practices I present 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, hats, fish traps, containers, trays, dance rattles, purses, decorated braids, baskets and handbags, knots and circular mats (292 pp.) Colour versions of the photographs in the book are published in a separate supplement.
Author: Brenda Voyles
Publisher: AuthorHouse
Published: 2011-08-15
Total Pages: 73
ISBN-13: 1463431473
DOWNLOAD EBOOKAll Geometry problems should be taken back to basics-just plain and simple! This guide is just that -Geometry basic rules, definitions and simple examples that are easy to follow. If basics are mastered, complex problems are possible!
Download or read book 1-Hour Geometry Review Guide For the End-of-Course, SAT, ACT, and ASSET tests written by Brenda Voyles and published by AuthorHouse. This book was released on 2011-08-15 with total page 73 pages. Available in PDF, EPUB and Kindle. Book excerpt: All Geometry problems should be taken back to basics-just plain and simple! This guide is just that -Geometry basic rules, definitions and simple examples that are easy to follow. If basics are mastered, complex problems are possible!
Author: Dialla Konaté
Publisher: Springer Science & Business Media
Published: 2007-12-08
Total Pages: 365
ISBN-13: 3540743391
DOWNLOAD EBOOKThis book features articles written by some of the most prominent leading applied mathematicians as well as young and promising ones. The common objective of these articles is to present an important issue which is currently widely discussed in scientific investigation with major human, economic or ecological implications. Each article is as deep as an expert lecture but is also self-contained, so that even isolated scientists with limited resources can profit greatly from it.
Download or read book Mathematical Modeling, Simulation, Visualization and e-Learning written by Dialla Konaté and published by Springer Science & Business Media. This book was released on 2007-12-08 with total page 365 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book features articles written by some of the most prominent leading applied mathematicians as well as young and promising ones. The common objective of these articles is to present an important issue which is currently widely discussed in scientific investigation with major human, economic or ecological implications. Each article is as deep as an expert lecture but is also self-contained, so that even isolated scientists with limited resources can profit greatly from it.
