Exploring Classical Greek Construction Problems with Interactive Geometry Software
Springer International Publishing (Verlag)
978-3-319-42862-8 (ISBN)
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.
1 Introduction.- 2 The Genesis of Geometry.- 3 Straightedge and compass constructions.- 4 The Delian Problem.- 5 Trisecting an angle.- 6 Squaring the circle.- 7 Constructible numbers.- 8 The Cinderella of regular polygons.- Afterthoughts.- Solutions.- Index.
"This book provides historical sketches to accompany the problems. This places the activity in context, and will motivate some students to look more closely at the culture and history of mathematics. I thoroughly enjoyed the opportunity to review this book, and recommend it to anyone interested in this area of mathematics. ... The book is clearly written while remaining brief and is excellently illustrated. The exercises are interesting and in my view well-judged for undergraduate students." (Chris Sangwin, International Journal of Research in Undergraduate Mathematics Education, Vol. 4, 2018)
“This book provides historical sketches to accompany the problems. This places the activity in context, and will motivate some students to look more closely at the culture and history of mathematics. I thoroughly enjoyed the opportunity to review this book, and recommend it to anyone interested in this area of mathematics. … The book is clearly written while remaining brief and is excellently illustrated. The exercises are interesting and in my view well-judged for undergraduate students.” (Chris Sangwin, International Journal of Research in Undergraduate Mathematics Education, Vol. 4, 2018)
| Erscheinungsdatum | 25.02.2017 |
|---|---|
| Reihe/Serie | Compact Textbooks in Mathematics |
| Zusatzinfo | XII, 185 p. 160 illus., 10 illus. in color. |
| Verlagsort | Cham |
| Sprache | englisch |
| Maße | 155 x 235 mm |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Geometrie / Topologie |
| Mathematik / Informatik ► Mathematik ► Geschichte der Mathematik | |
| Sozialwissenschaften ► Pädagogik | |
| Schlagworte | circle quadrature • Delian problem • doubling the cube • duplication of the cube • enquiry based learning • Euclid • GeoGebra • Geometry • heptagon • History of mathematical sciences • interactive geometry • mathematics and statistics • mathematics education • neusis • ruler and compass • straightedge and compass • trisection |
| ISBN-10 | 3-319-42862-4 / 3319428624 |
| ISBN-13 | 978-3-319-42862-8 / 9783319428628 |
| Zustand | Neuware |
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