Elementary Geometry

Elementary Geometry
Author: Ilka Agricola
Publisher: American Mathematical Soc.
Total Pages: 257
Release: 2008
Genre: Mathematics
ISBN: 0821843478

Plane geometry is developed from its basic objects and their properties and then moves to conics and basic solids, including the Platonic solids and a proof of Euler's polytope formula. Particular care is taken to explain symmetry groups, including the description of ornaments and the classification of isometries.

Topics in Elementary Geometry

Topics in Elementary Geometry
Author: O. Bottema
Publisher: Springer Science & Business Media
Total Pages: 142
Release: 2008-12-10
Genre: Mathematics
ISBN: 0387781315

This small book, translated into English for the first time, has long been a unique place to find classical results from geometry, such as Pythagoras' theorem, the nine-point circle, Morley's triangle, and many other subjects. In addition, this book contains recent, geometric theorems which have been obtained over the past years. There are 27 independent chapters on a wide range of topics in elementary plane Euclidean geometry, at a level just beyond what is usually taught in a good high school or college geometry course. The selection of topics is intelligent, varied, and stimulating, and the author provides many thought-provoking ideas.

Elementary Algebraic Geometry

Elementary Algebraic Geometry
Author: Klaus Hulek
Publisher: American Mathematical Soc.
Total Pages: 225
Release: 2003
Genre: Mathematics
ISBN: 0821829521

This book is a true introduction to the basic concepts and techniques of algebraic geometry. The language is purposefully kept on an elementary level, avoiding sheaf theory and cohomology theory. The introduction of new algebraic concepts is always motivated by a discussion of the corresponding geometric ideas. The main point of the book is to illustrate the interplay between abstract theory and specific examples. The book contains numerous problems that illustrate the general theory. The text is suitable for advanced undergraduates and beginning graduate students. It contains sufficient material for a one-semester course. The reader should be familiar with the basic concepts of modern algebra. A course in one complex variable would be helpful, but is not necessary.

Elementary Geometry for Teachers

Elementary Geometry for Teachers
Author: Thomas H. Parker
Publisher: Ingram
Total Pages: 258
Release: 2008
Genre: Elementary school teachers
ISBN: 9780974814056

Textbook on measurement and geometry for elementary school mathematics teachers, including a chapter on data, probability, and statistics. Designed to be used in conjunction with Primary mathematics textbooks 4A, 5A, 3B, 5B, 6B (all U.S. ed.) and New elementary mathematics textbook 1.

Elementary Euclidean Geometry

Elementary Euclidean Geometry
Author: C. G. Gibson
Publisher: Cambridge University Press
Total Pages: 194
Release: 2003
Genre: Mathematics
ISBN: 9780521834483

This book, first published in 2004, is an example based and self contained introduction to Euclidean geometry with numerous examples and exercises.

Elementary Topics in Differential Geometry

Elementary Topics in Differential Geometry
Author: J. A. Thorpe
Publisher: Springer Science & Business Media
Total Pages: 263
Release: 2012-12-06
Genre: Mathematics
ISBN: 1461261538

In the past decade there has been a significant change in the freshman/ sophomore mathematics curriculum as taught at many, if not most, of our colleges. This has been brought about by the introduction of linear algebra into the curriculum at the sophomore level. The advantages of using linear algebra both in the teaching of differential equations and in the teaching of multivariate calculus are by now widely recognized. Several textbooks adopting this point of view are now available and have been widely adopted. Students completing the sophomore year now have a fair preliminary under standing of spaces of many dimensions. It should be apparent that courses on the junior level should draw upon and reinforce the concepts and skills learned during the previous year. Unfortunately, in differential geometry at least, this is usually not the case. Textbooks directed to students at this level generally restrict attention to 2-dimensional surfaces in 3-space rather than to surfaces of arbitrary dimension. Although most of the recent books do use linear algebra, it is only the algebra of ~3. The student's preliminary understanding of higher dimensions is not cultivated.

Elementary Geometry

Elementary Geometry
Author: John Roe
Publisher: Clarendon Press
Total Pages: 324
Release: 1993
Genre: Language Arts & Disciplines
ISBN: 9780198534563

This textbook provides an introduction to Euclidean geometry. While developing geometry for its own sake, the book also emphasizes the links between geometry and other branches of pure and applied mathematics.

Elementary Differential Geometry

Elementary Differential Geometry
Author: A.N. Pressley
Publisher: Springer Science & Business Media
Total Pages: 469
Release: 2010-03-10
Genre: Mathematics
ISBN: 1848828918

Elementary Differential Geometry presents the main results in the differential geometry of curves and surfaces suitable for a first course on the subject. Prerequisites are kept to an absolute minimum – nothing beyond first courses in linear algebra and multivariable calculus – and the most direct and straightforward approach is used throughout. New features of this revised and expanded second edition include: a chapter on non-Euclidean geometry, a subject that is of great importance in the history of mathematics and crucial in many modern developments. The main results can be reached easily and quickly by making use of the results and techniques developed earlier in the book. Coverage of topics such as: parallel transport and its applications; map colouring; holonomy and Gaussian curvature. Around 200 additional exercises, and a full solutions manual for instructors, available via www.springer.com ul

Handbook of Research on Transformative and Innovative Pedagogies in Education

Handbook of Research on Transformative and Innovative Pedagogies in Education
Author: Keengwe, Jared
Publisher: IGI Global
Total Pages: 370
Release: 2022-05-13
Genre: Education
ISBN: 1799895629

Various pedagogies, such as the use of digital learning in education, have been used and researched for decades, but many schools have little to show for these initiatives. This contrasts starkly with technology-supported initiatives in other fields such as business and healthcare. Traditional pedagogies and general digital technology applications have yet to impact education in a significant way that transforms learning. A primary reason for this minimal impact on learning is that digital technologies have attempted to make traditional instructional processes more efficient rather than using a more appropriate paradigm for learning. As such, it is important to look at digital technology as a partner and use transformative applications to become partners with students (not teachers) to empower their learning process both in and out of school. The Handbook of Research on Transformative and Innovative Pedagogies in Education is a comprehensive reference that identifies and justifies the paradigm of transformative learning and pedagogies in education. It provides exemplars of existing transformative applications that, if used as partners to empower student learning, have the potential to dramatically engage students in a type of learning that better fits 21st century learners. Covering topics such as gamification, project-based learning, and professional development, this major reference work is an essential resource for pre-service and in-service teachers, educational technologists, instructional designers, educational administration and faculty, researchers, and academicians seeking pedagogical models that inspire students to learn meaningfully.