Download or read book The Geometric Supposer written by Judah L. Schwartz and published by Routledge. This book was released on 2013-06-17 with total page 267 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is a case study of education reform and innovation using technology that examines the issue from a wide variety of perspectives. It brings together the views and experiences of software designers, curriculum writers, teachers and students, researchers and administrators. Thus, it stands in contrast to other analyses of innovation that tend to look through the particular prisms of research, classroom practice, or software design. The Geometric Supposer encourages a belief in a better tomorrow for schools. On its surface, the Geometric Supposer provides the means for radically altering the way in which geometry is taught and the quality of learning that can be achieved. At a deeper level, however, it suggests a powerful metaphor for improving education that can be played out in many different instructional contexts.
Download or read book The Use of the Geometric Supposer in the Teaching of Geometry written by William R. Modelski and published by . This book was released on 1990 with total page 196 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Geometric Supposer written by and published by . This book was released on 1992 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Using the Geometric Supposer to Supplement a Geometry Course written by Stella Bohn and published by . This book was released on 1995 with total page 182 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Geometric Supposer Workshop Manual written by Daniel Isaac Chazan and published by . This book was released on 1990 with total page 10 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Inductive Learning Using the Geometric Supposer written by Mark Harriger and published by . This book was released on 1987 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book An Investigation of the Effects that the Geometric Supposer Triangles Has on Student Problem Solving Skills when Taught Within a Unit of Instruction written by Kelly Kean Bokn and published by . This book was released on 1996 with total page 70 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Supposer Solutions written by Michal Yerushalmy and published by . This book was released on 1992 with total page 132 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Geometry written by and published by . This book was released on 1989 with total page 87 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book An Investigation of the Effects of the Geometric Supposer Software on Geometric Proof Writing at the Grade 10 Level written by Josephine Regina Worster and published by . This book was released on 1989 with total page 282 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Guided Inquiry and Technology written by Michal Yerushalmy and published by . This book was released on 1987 with total page 146 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Does Achievement in Geometry Vary According to the Learning Style of the Student when Using the Geometric Supposer written by John J. Petrosky and published by . This book was released on 1992 with total page 126 pages. Available in PDF, EPUB and Kindle. Book excerpt: Determines if a correlation exists between a student's learning style and achievement in geometry when using the computer program Geometric Supposer.
Download or read book Designing Learning Environments for Developing Understanding of Geometry and Space written by Richard Lehrer and published by Routledge. This book was released on 2012-11-12 with total page 520 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume reflects an appreciation of the interactive roles of subject matter, teacher, student, and technologies in designing classrooms that promote understanding of geometry and space. Although these elements of geometry education are mutually constituted, the book is organized to highlight, first, the editors' vision of a general geometry education; second, the development of student thinking in everyday and classroom contexts; and third, the role of technologies. Rather than looking to high school geometry as the locus--and all too often, the apex--of geometric reasoning, the contributors to this volume suggest that reasoning about space can and should be successfully integrated with other forms of mathematics, starting at the elementary level and continuing through high school. Reintegrating spatial reasoning into the mathematical mainstream--indeed, placing it at the core of K-12 mathematics environments that promote learning with understanding--will mean increased attention to problems in modeling, structure, and design and reinvigoration of traditional topics such as measure, dimension, and form. Further, the editors' position is that the teaching of geometry and spatial visualization in school should not be compressed into a characterization of Greek geometry, but should include attention to contributions to the mathematics of space that developed subsequent to those of the Greeks. This volume is essential reading for those involved in mathematics education at all levels, including university faculty, researchers, and graduate students.
Download or read book Merrill Geometry written by Gail Burrill and published by . This book was released on 1995 with total page 922 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Geometry and Topology of Coxeter Groups written by Michael Davis and published by Princeton University Press. This book was released on 2008 with total page 601 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Geometry and Topology of Coxeter Groups is a comprehensive and authoritative treatment of Coxeter groups from the viewpoint of geometric group theory. Groups generated by reflections are ubiquitous in mathematics, and there are classical examples of reflection groups in spherical, Euclidean, and hyperbolic geometry. Any Coxeter group can be realized as a group generated by reflection on a certain contractible cell complex, and this complex is the principal subject of this book. The book explains a theorem of Moussong that demonstrates that a polyhedral metric on this cell complex is nonpositively curved, meaning that Coxeter groups are "CAT(0) groups." The book describes the reflection group trick, one of the most potent sources of examples of aspherical manifolds. And the book discusses many important topics in geometric group theory and topology, including Hopf's theory of ends; contractible manifolds and homology spheres; the Poincaré Conjecture; and Gromov's theory of CAT(0) spaces and groups. Finally, the book examines connections between Coxeter groups and some of topology's most famous open problems concerning aspherical manifolds, such as the Euler Characteristic Conjecture and the Borel and Singer conjectures.
Download or read book Mathematical Problem Solving and New Information Technologies written by Joao P. Ponte and published by Springer Science & Business Media. This book was released on 1992-08-11 with total page 380 pages. Available in PDF, EPUB and Kindle. Book excerpt: A strong and fluent competency in mathematics is a necessary condition for scientific, technological and economic progress. However, it is widely recognized that problem solving, reasoning, and thinking processes are critical areas in which students' performance lags far behind what should be expected and desired. Mathematics is indeed an important subject, but is also important to be able to use it in extra-mathematical contexts. Thinking strictly in terms of mathematics or thinking in terms of its relations with the real world involve quite different processes and issues. This book includes the revised papers presented at the NATO ARW "Information Technology and Mathematical Problem Solving Research", held in April 1991, in Viana do Castelo, Portugal, which focused on the implications of computerized learning environments and cognitive psychology research for these mathematical activities. In recent years, several committees, professional associations, and distinguished individuals throughout the world have put forward proposals to renew mathematics curricula, all emphasizing the importance of problem solving. In order to be successful, these reforming intentions require a theory-driven research base. But mathematics problem solving may be considered a "chaotic field" in which progress has been quite slow.
Download or read book Problem Posing written by Stephen I. Brown and published by Psychology Press. This book was released on 2014-01-14 with total page 355 pages. Available in PDF, EPUB and Kindle. Book excerpt: As a result of the editors' collaborative teaching at Harvard in the late 1960s, they produced a ground-breaking work -- The Art Of Problem Posing -- which related problem posing strategies to the already popular activity of problem solving. It took the concept of problem posing and created strategies for engaging in that activity as a central theme in mathematics education. Based in part upon that work and also upon a number of articles by its authors, other members of the mathematics education community began to apply and expand upon their ideas. This collection of thirty readings is a testimony to the power of the ideas that originally appeared. In addition to reproducing relevant materials, the editors of this book of readings have included a considerable amount of interpretive text which places the articles in the context of problem solving. While the preponderance of essays focus upon mathematics and mathematics education, some of them point to the relevance of problem posing to other fields such as biology or psychology. In the interpretive text that accompanies each chapter, they indicate how ideas expressed for one audience may be revisited or transformed in order to ready them for a variety of audiences.
