Rotations, Reflections and Translations
Author | : Janet Rees |
Publisher | : |
Total Pages | : 64 |
Release | : 1999 |
Genre | : Form perception in children |
ISBN | : |
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Author | : Janet Rees |
Publisher | : |
Total Pages | : 64 |
Release | : 1999 |
Genre | : Form perception in children |
ISBN | : |
Author | : Timothy D. Kanold |
Publisher | : Solution Tree Press |
Total Pages | : 278 |
Release | : 2015-03-11 |
Genre | : Education |
ISBN | : 193676363X |
Focus your curriculum to heighten student achievement. Learn 10 high-leverage team actions for mathematics instruction and assessment. Discover the actions your team should take before a unit of instruction begins, as well as the actions and formative assessments that should occur during instruction. Examine how to most effectively reflect on assessment results, and prepare for the next unit of instruction.
Author | : Jo Boaler |
Publisher | : Penguin |
Total Pages | : 296 |
Release | : 2008 |
Genre | : Education |
ISBN | : 9780670019526 |
Discusses how to make mathematics for children enjoyable and why it is important for American children to succeed in mathematics and choose math-based career paths in the future.
Author | : Ronald N. Umble |
Publisher | : CRC Press |
Total Pages | : 239 |
Release | : 2014-12-01 |
Genre | : Mathematics |
ISBN | : 1482234718 |
Designed for a one-semester course at the junior undergraduate level, Transformational Plane Geometry takes a hands-on, interactive approach to teaching plane geometry. The book is self-contained, defining basic concepts from linear and abstract algebra gradually as needed. The text adheres to the National Council of Teachers of Mathematics Principles and Standards for School Mathematics and the Common Core State Standards Initiative Standards for Mathematical Practice. Future teachers will acquire the skills needed to effectively apply these standards in their classrooms. Following Felix Klein’s Erlangen Program, the book provides students in pure mathematics and students in teacher training programs with a concrete visual alternative to Euclid’s purely axiomatic approach to plane geometry. It enables geometrical visualization in three ways: Key concepts are motivated with exploratory activities using software specifically designed for performing geometrical constructions, such as Geometer’s Sketchpad. Each concept is introduced synthetically (without coordinates) and analytically (with coordinates). Exercises include numerous geometric constructions that use a reflecting instrument, such as a MIRA. After reviewing the essential principles of classical Euclidean geometry, the book covers general transformations of the plane with particular attention to translations, rotations, reflections, stretches, and their compositions. The authors apply these transformations to study congruence, similarity, and symmetry of plane figures and to classify the isometries and similarities of the plane.
Author | : David Baker |
Publisher | : Nelson Thornes |
Total Pages | : 638 |
Release | : 2000 |
Genre | : Mathematics |
ISBN | : 0748755276 |
These resources provide invaluable support within the Key Maths series for all mathematics teachers, whether specialists or non-specialist, experienced or new to the profession.
Author | : Emil Artin |
Publisher | : Courier Dover Publications |
Total Pages | : 228 |
Release | : 2016-01-20 |
Genre | : Mathematics |
ISBN | : 048680920X |
This concise classic presents advanced undergraduates and graduate students in mathematics with an overview of geometric algebra. The text originated with lecture notes from a New York University course taught by Emil Artin, one of the preeminent mathematicians of the twentieth century. The Bulletin of the American Mathematical Society praised Geometric Algebra upon its initial publication, noting that "mathematicians will find on many pages ample evidence of the author's ability to penetrate a subject and to present material in a particularly elegant manner." Chapter 1 serves as reference, consisting of the proofs of certain isolated algebraic theorems. Subsequent chapters explore affine and projective geometry, symplectic and orthogonal geometry, the general linear group, and the structure of symplectic and orthogonal groups. The author offers suggestions for the use of this book, which concludes with a bibliography and index.
Author | : William H. Barker |
Publisher | : American Mathematical Soc. |
Total Pages | : 570 |
Release | : 2007 |
Genre | : Mathematics |
ISBN | : 0821839004 |
The fundamental idea of geometry is that of symmetry. With that principle as the starting point, Barker and Howe begin an insightful and rewarding study of Euclidean geometry. The primary focus of the book is on transformations of the plane. The transformational point of view provides both a path for deeper understanding of traditional synthetic geometry and tools for providing proofs that spring from a consistent point of view. As a result, proofs become more comprehensible, as techniques can be used and reused in similar settings. The approach to the material is very concrete, with complete explanations of all the important ideas, including foundational background. The discussions of the nine-point circle and wallpaper groups are particular examples of how the strength of the transformational point of view and the care of the authors' exposition combine to give a remarkable presentation of topics in geometry. This text is for a one-semester undergraduate course on geometry. It is richly illustrated and contains hundreds of exercises.
Author | : David Baker |
Publisher | : Nelson Thornes |
Total Pages | : 568 |
Release | : 2001 |
Genre | : Mathematics |
ISBN | : 0748759905 |
These resources provide invaluable support within the Key Maths series for all mathematics teachers, whether specialists or non-specialist, experienced or new to the profession.
Author | : Gareth Williams |
Publisher | : Jones & Bartlett Learning |
Total Pages | : 696 |
Release | : 2005 |
Genre | : Computers |
ISBN | : 9780763732356 |
Linear Algebra with Applications, Fifth Edition by Gareth Williams is designed for math and engineering students taking an introductory course in linear algebra. It provides a flexible blend of theory, important numerical techniques, and interesting applications in a range of fields. Instructors can select topics that give the course the desired emphasis and include other areas as general reading assignments to give students a broad exposure to the field.