OH Geometry, Student Edition
OH Geometry, Student Edition

Author: McGraw-Hill Education

Publisher: Glencoe/McGraw-Hill

Published: 2005-01-01

Total Pages: 0

ISBN-13: 9780078652516

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A flexible program with the solid content students need Glencoe Geometry is the leading geometry program on the market. Algebra and applications are embedded throughout the program and an introduction to geometry proofs begins in Chapter 2.

Axiomatic Geometry
Axiomatic Geometry

Author: John M. Lee

Publisher: American Mathematical Soc.

Published: 2013-04-10

Total Pages: 490

ISBN-13: 0821884786

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The story of geometry is the story of mathematics itself: Euclidean geometry was the first branch of mathematics to be systematically studied and placed on a firm logical foundation, and it is the prototype for the axiomatic method that lies at the foundation of modern mathematics. It has been taught to students for more than two millennia as a mode of logical thought. This book tells the story of how the axiomatic method has progressed from Euclid's time to ours, as a way of understanding what mathematics is, how we read and evaluate mathematical arguments, and why mathematics has achieved the level of certainty it has. It is designed primarily for advanced undergraduates who plan to teach secondary school geometry, but it should also provide something of interest to anyone who wishes to understand geometry and the axiomatic method better. It introduces a modern, rigorous, axiomatic treatment of Euclidean and (to a lesser extent) non-Euclidean geometries, offering students ample opportunities to practice reading and writing proofs while at the same time developing most of the concrete geometric relationships that secondary teachers will need to know in the classroom. -- P. [4] of cover.

Algebra
Algebra

Author: Jerry Cummins

Publisher: McGraw-Hill/Glencoe

Published: 2006-01-01

Total Pages: 834

ISBN-13: 9780078681714

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Pop-Up Geometry
Pop-Up Geometry

Author: Joseph O'Rourke

Publisher: Cambridge University Press

Published: 2022-03-24

Total Pages: 143

ISBN-13: 1009098403

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Explores the beautifully intricate dynamics of pop-up cards using high school mathematics, making tangible what is often dry and abstract.

Helping Children Learn Mathematics
Helping Children Learn Mathematics

Author: National Research Council

Publisher: National Academies Press

Published: 2002-07-31

Total Pages: 53

ISBN-13: 0309131987

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Results from national and international assessments indicate that school children in the United States are not learning mathematics well enough. Many students cannot correctly apply computational algorithms to solve problems. Their understanding and use of decimals and fractions are especially weak. Indeed, helping all children succeed in mathematics is an imperative national goal. However, for our youth to succeed, we need to change how we're teaching this discipline. Helping Children Learn Mathematics provides comprehensive and reliable information that will guide efforts to improve school mathematics from pre-kindergarten through eighth grade. The authors explain the five strands of mathematical proficiency and discuss the major changes that need to be made in mathematics instruction, instructional materials, assessments, teacher education, and the broader educational system and answers some of the frequently asked questions when it comes to mathematics instruction. The book concludes by providing recommended actions for parents and caregivers, teachers, administrators, and policy makers, stressing the importance that everyone work together to ensure a mathematically literate society.

Hyperbolic Geometry
Hyperbolic Geometry

Author: Birger Iversen

Publisher: Cambridge University Press

Published: 1992-12-17

Total Pages: 317

ISBN-13: 0521435080

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Although it arose from purely theoretical considerations of the underlying axioms of geometry, the work of Einstein and Dirac has demonstrated that hyperbolic geometry is a fundamental aspect of modern physics. In this book, the rich geometry of the hyperbolic plane is studied in detail, leading to the focal point of the book, Poincare's polygon theorem and the relationship between hyperbolic geometries and discrete groups of isometries. Hyperbolic 3-space is also discussed, and the directions that current research in this field is taking are sketched. This will be an excellent introduction to hyperbolic geometry for students new to the subject, and for experts in other fields.