The Secrets of Triangles: A Mathematical Journey

Everyone knows what a triangle is, yet very few people appreciate that the common three sided figure holds many intriguing secrets For example, if a circle is inscribed in any random triangle and then three lines are drawn from the three points of tangency to the opposite vertices of the triangle, these lines will always meet at a common point no matter what the shapeEveryone knows what a triangle is, yet very few people appreciate that the common three sided figure holds many intriguing secrets For example, if a circle is inscribed in any random triangle and then three lines are drawn from the three points of tangency to the opposite vertices of the triangle, these lines will always meet at a common point no matter what the shape of the triangle This and many interesting geometrical properties are revealed in this entertaining and illuminating book about geometry Flying in the face of the common impression that mathematics is usually dry and intimidating, this book proves that this sometimes daunting, abstract discipline can be both fun and intellectually stimulating The authors, two veteran math educators, explore the multitude of surprising relationships connected with triangles and show some clever approaches to constructing triangles using a straightedge and a compass Readers will learn how they can improve their problem solving skills by performing these triangle constructions The lines, points, and circles related to triangles harbor countless surprising relationships that are presented here in a very engaging fashion.Requiring no than a knowledge of high school mathematics and written in clear and accessible language, this book will give all readers a new insight into some of the most enjoyable and fascinating aspects of geometry.
The Secrets of Triangles A Mathematical Journey Everyone knows what a triangle is yet very few people appreciate that the common three sided figure holds many intriguing secrets For example if a circle is inscribed in any random triangle and then

  • Title: The Secrets of Triangles: A Mathematical Journey
  • Author: Alfred S. Posamentier Ingmar Lehman
  • ISBN: 9781616145873
  • Page: 377
  • Format: Hardcover
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    About the Author

    Alfred S. Posamentier Ingmar Lehman

    Alfred S Posamentier born October 18, 1942 is among the most prominent American educators in the country and is a lead commentator on American math and science education, regularly contributing to The New York Times and other news publications He has created original math and science curricula, emphasized the need for increased math and science funding, promulgated criteria by which to select math and science educators, advocated the importance of involving parents in K 12 math and science education, and provided myriad curricular solutions for teaching critical thinking in math.Dr Posamentier was a member of the New York State Education Commissioner s Blue Ribbon Panel on the Math A Regents Exams He served on the Commissioner s Mathematics Standards Committee, which redefined the Standards for New York State And he currently serves on the New York City schools Chancellor s Math Advisory Panel.Posamentier earned a Ph.D in mathematics education from Fordham University 1973 , a Master s degree in mathematics education from the City College of the City University of New York 1966 and an A.B degree in mathematics from Hunter College of the City University of New York.Posamentier was born in Manhattan in New York City, the son of Austrian immigrants He has one daughter Lisa, born in 1970 , and one son David, born in 1978 He resides in River Vale, New Jersey and is the current Dean of the School of Education and professor of mathematics education at Mercy College, New York He was formerly professor of mathematics education and dean of the School of Education at The City College of the City University of New York, where he spent the previous 40 years.

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