Exploring Classical Greek Construction Problems with Interactive Geometry Software PDF Download
Are you looking for read ebook online? Search for your book and save it on your Kindle device, PC, phones or tablets. Download Exploring Classical Greek Construction Problems with Interactive Geometry Software PDF full book. Access full book title Exploring Classical Greek Construction Problems with Interactive Geometry Software by Ad Meskens. Download full books in PDF and EPUB format.
Author: Ad Meskens
Publisher: Birkhäuser
ISBN: 3319428632
Category : Mathematics
Languages : en
Pages : 194
Get Book Here
Book Description
In this book the classical Greek construction problems are explored in a didactical, enquiry based fashion using Interactive Geometry Software (IGS). The book traces the history of these problems, stating them in modern terminology. By focusing on constructions and the use of IGS the reader is confronted with the same problems that ancient mathematicians once faced. The reader can step into the footsteps of Euclid, Viète and Cusanus amongst others and then by experimenting and discovering geometric relationships far exceed their accomplishments. Exploring these problems with the neusis-method lets him discover a class of interesting curves. By experimenting he will gain a deeper understanding of how mathematics is created. More than 100 exercises guide him through methods which were developed to try and solve the problems. The exercises are at the level of undergraduate students and only require knowledge of elementary Euclidean geometry and pre-calculus algebra. It is especially well-suited for those students who are thinking of becoming a mathematics teacher and for mathematics teachers.
Author: Ad Meskens
Publisher: Birkhäuser
ISBN: 3319428632
Category : Mathematics
Languages : en
Pages : 194
Get Book Here
Book Description
In this book the classical Greek construction problems are explored in a didactical, enquiry based fashion using Interactive Geometry Software (IGS). The book traces the history of these problems, stating them in modern terminology. By focusing on constructions and the use of IGS the reader is confronted with the same problems that ancient mathematicians once faced. The reader can step into the footsteps of Euclid, Viète and Cusanus amongst others and then by experimenting and discovering geometric relationships far exceed their accomplishments. Exploring these problems with the neusis-method lets him discover a class of interesting curves. By experimenting he will gain a deeper understanding of how mathematics is created. More than 100 exercises guide him through methods which were developed to try and solve the problems. The exercises are at the level of undergraduate students and only require knowledge of elementary Euclidean geometry and pre-calculus algebra. It is especially well-suited for those students who are thinking of becoming a mathematics teacher and for mathematics teachers.
Author: Gary Greenhouse
Publisher: Createspace Independent Publishing Platform
ISBN: 9781975730741
Category :
Languages : en
Pages : 188
Get Book Here
Book Description
In this book the classical Greek construction problems are explored in a didactical, enquiry based fashion using Interactive Geometry Software (IGS). The book traces the history of these problems, stating them in modern terminology. By focusing on constructions and the use of IGS the reader is confronted with the same problems that ancient mathematicians once faced. The reader can step into the footsteps of Euclid, Vi�te and Cusanus amongst others and then by experimenting and discovering geometric relationships far exceed their accomplishments. Exploring these problems with the neusis-method lets him discover a class of interesting curves.
Author: Ad J. Meskens
Publisher: BRILL
ISBN: 9004447903
Category : Education
Languages : en
Pages : 307
Get Book Here
Book Description
This book offers an analysis of the ground breaking mathematical work of Gregorio a San Vicente and his student and shows that the Flemish Jesuit Mathematics School had profound influence on mathematics in the seventeenth century.
Author: Nélia Amado
Publisher: Springer
ISBN: 3319998617
Category : Education
Languages : en
Pages : 579
Get Book Here
Book Description
The innovative volume seeks to broaden the scope of research on mathematical problem solving in different educational environments. It brings together contributions not only from leading researchers, but also highlights collaborations with younger researchers to broadly explore mathematical problem-solving across many fields: mathematics education, psychology of education, technology education, mathematics popularization, and more. The volume’s three major themes—technology, creativity, and affect—represent key issues that are crucially embedded in the activity of problem solving in mathematics teaching and learning, both within the school setting and beyond the school. Through the book’s new pedagogical perspectives on these themes, it advances the field of research towards a more comprehensive approach on mathematical problem solving. Broadening the Scope of Research on Mathematical Problem Solving will prove to be a valuable resource for researchers and teachers interested in mathematical problem solving, as well as researchers and teachers interested in technology, creativity, and affect.
Author: Kathryn Robinson
Publisher:
ISBN:
Category : Geometry
Languages : en
Pages : 82
Get Book Here
Book Description
Author: Michael Mcdaniel
Publisher:
ISBN: 9781627341295
Category : Mathematics
Languages : en
Pages : 150
Get Book Here
Book Description
Author:
Publisher:
ISBN:
Category :
Languages : en
Pages :
Get Book Here
Book Description
Author: Maureen T. Carroll
Publisher: American Mathematical Soc.
ISBN: 1470448432
Category : Geometry
Languages : en
Pages : 480
Get Book Here
Book Description
Geometry: The Line and the Circle is an undergraduate text with a strong narrative that is written at the appropriate level of rigor for an upper-level survey or axiomatic course in geometry. Starting with Euclid's Elements, the book connects topics in Euclidean and non-Euclidean geometry in an intentional and meaningful way, with historical context. The line and the circle are the principal characters driving the narrative. In every geometry considered—which include spherical, hyperbolic, and taxicab, as well as finite affine and projective geometries—these two objects are analyzed and highlighted. Along the way, the reader contemplates fundamental questions such as: What is a straight line? What does parallel mean? What is distance? What is area? There is a strong focus on axiomatic structures throughout the text. While Euclid is a constant inspiration and the Elements is repeatedly revisited with substantial coverage of Books I, II, III, IV, and VI, non-Euclidean geometries are introduced very early to give the reader perspective on questions of axiomatics. Rounding out the thorough coverage of axiomatics are concluding chapters on transformations and constructibility. The book is compulsively readable with great attention paid to the historical narrative and hundreds of attractive problems.
Author: Wilbur Richard Knorr
Publisher:
ISBN:
Category : Geometrie
Languages : en
Pages : 432
Get Book Here
Book Description
Author: Peter Johnston Wilder
Publisher:
ISBN: 9781898611493
Category : GeoGebra
Languages : en
Pages : 48
Get Book Here
Book Description
