Illustrating Mathematics

Author : Diana Davis
Publisher : American Mathematical Soc.
Page : 171 pages
File Size : 55,7 Mb
Release : 2020-10-16
Category : Education
ISBN : 9781470461225

Get Book

Illustrating Mathematics by Diana Davis Pdf

This book is for anyone who wishes to illustrate their mathematical ideas, which in our experience means everyone. It is organized by material, rather than by subject area, and purposefully emphasizes the process of creating things, including discussions of failures that occurred along the way. As a result, the reader can learn from the experiences of those who came before, and will be inspired to create their own illustrations. Topics illustrated within include prime numbers, fractals, the Klein bottle, Borromean rings, tilings, space-filling curves, knot theory, billiards, complex dynamics, algebraic surfaces, groups and prime ideals, the Riemann zeta function, quadratic fields, hyperbolic space, and hyperbolic 3-manifolds. Everyone who opens this book should find a type of mathematics with which they identify. Each contributor explains the mathematics behind their illustration at an accessible level, so that all readers can appreciate the beauty of both the object itself and the mathematics behind it.

Author : Alex Berke
Publisher : MIT Press
Page : 165 pages
File Size : 47,8 Mb
Release : 2020-02-18
Category : Mathematics
ISBN : 9780262538923

Get Book

Beautiful Symmetry by Alex Berke Pdf

A coloring book that invites readers to explore symmetry and the beauty of math visually. Beautiful Symmetry is a coloring book about math, inviting us to engage with mathematical concepts visually through coloring challenges and visual puzzles. We can explore symmetry and the beauty of mathematics playfully, coloring through ideas usually reserved for advanced courses. The book is for children and adults, for math nerds and math avoiders, for educators, students, and coloring enthusiasts. Through illustration, language that is visual, and words that are jargon-free, the book introduces group theory as the mathematical foundation for discussions of symmetry, covering symmetry groups that include the cyclic groups, frieze groups, and wallpaper groups. The illustrations are drawn by algorithms, following the symmetry rules for each given group. The coloring challenges can be completed and fully realized only on the page; solutions are provided. Online, in a complementary digital edition, the illustrations come to life with animated interactions that show the symmetries that generated them. Traditional math curricula focus on arithmetic and the manipulation of numbers, and may make some learners feel that math is not for them. By offering a more visual and tactile approach, this book shows how math can be for everyone. Combining the playful and the pedagogical, Beautiful Symmetry offers both relaxing entertainment for recreational colorers and a resource for math-curious readers, students, and educators.

Author : American Society for Engineering Education. Mathematics Division,John Wesley Cell
Publisher : Unknown
Page : 192 pages
File Size : 50,5 Mb
Release : 1943
Category : Engineering
ISBN : WISC:89080438377

Get Book

Engineering Problems Illustrating Mathematics by American Society for Engineering Education. Mathematics Division,John Wesley Cell Pdf

Author : Maria Trnkova,Andrew Yarmola
Publisher : American Mathematical Society
Page : 242 pages
File Size : 40,5 Mb
Release : 2023-11-07
Category : Mathematics
ISBN : 9781470469160

Get Book

3D Printing in Mathematics by Maria Trnkova,Andrew Yarmola Pdf

This volume is based on lectures delivered at the 2022 AMS Short Course “3D Printing: Challenges and Applications” held virtually from January 3–4, 2022. Access to 3D printing facilities is quickly becoming ubiquitous across college campuses. However, while equipment training is readily available, the process of taking a mathematical idea and making it into a printable model presents a big hurdle for most mathematicians. Additionally, there are still many open questions around what objects are possible to print, how to design algorithms for doing so, and what kinds of geometries have desired kinematic properties. This volume is focused on the process and applications of 3D printing for mathematical education, research, and visualization, alongside a discussion of the challenges and open mathematical problems that arise in the design and algorithmic aspects of 3D printing. The articles in this volume are focused on two main topics. The first is to make a bridge between mathematical ideas and 3D visualization. The second is to describe methods and techniques for including 3D printing in mathematical education at different levels— from pedagogy to research and from demonstrations to individual projects. We hope to establish the groundwork for engaged academic discourse on the intersections between mathematics, 3D printing and education.

Author : Annie Bessot,J. Ridgway
Publisher : Springer Science & Business Media
Page : 278 pages
File Size : 49,7 Mb
Release : 2000-12-31
Category : Education
ISBN : 9780792366638

Get Book

Education for Mathematics in the Workplace by Annie Bessot,J. Ridgway Pdf

This timely volume raises issues concerning the nature of school mathematics and mathematics at work, and the challenges of teaching valuable mathematics in school and providing appropriate training for a variety of careers. It offers lively commentaries on important `hot' topics: transferring knowledge and skill across contexts; ‘authentic mathematics’; comparability of different types of assessment; and analyses of research methods.

Author : Brian Lian
Publisher : Springer Science & Business Media
Page : 212 pages
File Size : 50,6 Mb
Release : 2000-10-27
Category : Mathematics
ISBN : 1852332360

Get Book

A First Course in Discrete Mathematics by Brian Lian Pdf

Drawing on many years'experience of teaching discrete mathem atics to students of all levels, Anderson introduces such as pects as enumeration, graph theory and configurations or arr angements. Starting with an introduction to counting and rel ated problems, he moves on to the basic ideas of graph theor y with particular emphasis on trees and planar graphs. He de scribes the inclusion-exclusion principle followed by partit ions of sets which in turn leads to a study of Stirling and Bell numbers. Then follows a treatment of Hamiltonian cycles, Eulerian circuits in graphs, and Latin squares as well as proof of Hall's theorem. He concludes with the constructions of schedules and a brief introduction to block designs. Each chapter is backed by a number of examples, with straightforw ard applications of ideas and more challenging problems.

Author : D. Coben,J. O'Donoghue,Gail E. FitzSimons
Publisher : Springer Science & Business Media
Page : 355 pages
File Size : 41,9 Mb
Release : 2000-07-31
Category : Education
ISBN : 9780792364153

Get Book

Perspectives on Adults Learning Mathematics by D. Coben,J. O'Donoghue,Gail E. FitzSimons Pdf

At a time when the importance of lifelong education is becoming recognised around the world, this is the first book to explore an important but hitherto neglected area: adult mathematics education. This book is about adults learning mathematics wherever and in whatever circumstances they do so. It brings together researchers in the field and aims to lay the foundations for study and further research and practice in this fast-developing area. It aims to situate research and practice in adults learning mathematics within the wider field of lifelong learning and lifelong education and to be accessible both to the specialist and to the general adult reader. The book features a comprehensive review of the field which sets the scene for sections on: Perspectives on Research on Adults Learning Mathematics; Adults, Mathematics, Culture, and Society; Adults, Mathematics, and Work; and Perspectives in Teaching Adults Mathematics. Topics covered include: mathematics and common sense; statistical literacy and numeracy; new theories on learning mathematics; mathematical competences for the workplace; ethnomathematics; and the training of tutors.

Author : Deanna Pecaski McLennan
Publisher : Unknown
Page : 163 pages
File Size : 46,5 Mb
Release : 2020
Category : Mathematics
ISBN : 9781625313256

Get Book

Joyful Math by Deanna Pecaski McLennan Pdf

"This book is about how to create invitations for young children to play with math ideas through art, literacy, and outdoor play. The focus of her book is really on math that occurs OUTSIDE of math time. How can we create space for children to play in our classrooms that builds on their own questions as well as the math they are studying in the curriculum? How can we create a joyful and playful space for math so that children feel like mathematical thinkers with valuable ideas from the very start? How can we create connections between math and children's lives so that they see math as creative and purposeful instead of just learning "school math"?"--

Author : Rina Kim,Lillie R. Albert
Publisher : Springer
Page : 152 pages
File Size : 50,5 Mb
Release : 2015-03-24
Category : Education
ISBN : 9783319135427

Get Book

Mathematics Teaching and Learning by Rina Kim,Lillie R. Albert Pdf

The purpose of this research is to identify the categories of South Korean elementary teachers’ knowledge for teaching mathematics. Emerging from the data collected and the subsequent analysis are five categories of South Korean elementary teachers’ knowledge for teaching mathematics: Mathematics Curriculum Knowledge, Mathematics Learner Knowledge, Fundamental Mathematics Conceptual Knowledge, Mathematics Pedagogical Content Knowledge, and Mathematics Pedagogical Procedural Knowledge. The first three categories of knowledge play a significant role in mathematics instruction as an integrated form within Mathematics Pedagogical Content Knowledge. This study also demonstrated that Mathematics Pedagogical Procedural Knowledge might play a pivotal role in constructing Mathematics Pedagogical Content Knowledge. These findings are connected to results from relevant studies in terms of the significant role of teachers’ knowledge in mathematics instruction.

Author : Mohammed Shuaib Ghausi
Publisher : Unknown
Page : 128 pages
File Size : 47,7 Mb
Release : 1965
Category : Electronic
ISBN : OCLC:959513854

Get Book

Mathematics Illustrated Dictionary by Mohammed Shuaib Ghausi Pdf

Author : Sandra K. Abell,Ken Appleton,Deborah L. Hanuscin
Publisher : Routledge
Page : 1346 pages
File Size : 46,6 Mb
Release : 2013-03-07
Category : Education
ISBN : 9781135619657

Get Book

Handbook of Research on Science Education by Sandra K. Abell,Ken Appleton,Deborah L. Hanuscin Pdf

This state-of-the art research Handbook provides a comprehensive, coherent, current synthesis of the empirical and theoretical research concerning teaching and learning in science and lays down a foundation upon which future research can be built. The contributors, all leading experts in their research areas, represent the international and gender diversity that exists in the science education research community. As a whole, the Handbook of Research on Science Education demonstrates that science education is alive and well and illustrates its vitality. It is an essential resource for the entire science education community, including veteran and emerging researchers, university faculty, graduate students, practitioners in the schools, and science education professionals outside of universities. The National Association for Research in Science Teaching (NARST) endorses the Handbook of Research on Science Education as an important and valuable synthesis of the current knowledge in the field of science education by leading individuals in the field. For more information on NARST, please visit: http://www.narst.org/.

Author : Great Britain. Dept. of Science and Art
Publisher : Unknown
Page : 462 pages
File Size : 55,7 Mb
Release : 1896
Category : Electronic
ISBN : UCAL:B2981843

Get Book

Report by Great Britain. Dept. of Science and Art Pdf

Author : National Institute of Education (U.S.)
Publisher : Unknown
Page : 328 pages
File Size : 51,9 Mb
Release : 1984
Category : Computer-assisted instruction
ISBN : OSU:32435003081403

Get Book

Computer Education by National Institute of Education (U.S.) Pdf

Author : Martin H. Weissman
Publisher : American Mathematical Soc.
Page : 341 pages
File Size : 49,7 Mb
Release : 2020-09-15
Category : Education
ISBN : 9781470463717

Get Book

An Illustrated Theory of Numbers by Martin H. Weissman Pdf

News about this title: — Author Marty Weissman has been awarded a Guggenheim Fellowship for 2020. (Learn more here.) — Selected as a 2018 CHOICE Outstanding Academic Title — 2018 PROSE Awards Honorable Mention An Illustrated Theory of Numbers gives a comprehensive introduction to number theory, with complete proofs, worked examples, and exercises. Its exposition reflects the most recent scholarship in mathematics and its history. Almost 500 sharp illustrations accompany elegant proofs, from prime decomposition through quadratic reciprocity. Geometric and dynamical arguments provide new insights, and allow for a rigorous approach with less algebraic manipulation. The final chapters contain an extended treatment of binary quadratic forms, using Conway's topograph to solve quadratic Diophantine equations (e.g., Pell's equation) and to study reduction and the finiteness of class numbers. Data visualizations introduce the reader to open questions and cutting-edge results in analytic number theory such as the Riemann hypothesis, boundedness of prime gaps, and the class number 1 problem. Accompanying each chapter, historical notes curate primary sources and secondary scholarship to trace the development of number theory within and outside the Western tradition. Requiring only high school algebra and geometry, this text is recommended for a first course in elementary number theory. It is also suitable for mathematicians seeking a fresh perspective on an ancient subject.

Author : Norman G. Lederman,Sandra K. Abell
Publisher : Routledge
Page : 970 pages
File Size : 51,7 Mb
Release : 2014-07-11
Category : Education
ISBN : 9781136221972

Get Book

Handbook of Research on Science Education by Norman G. Lederman,Sandra K. Abell Pdf

Building on the foundation set in Volume I—a landmark synthesis of research in the field—Volume II is a comprehensive, state-of-the-art new volume highlighting new and emerging research perspectives. The contributors, all experts in their research areas, represent the international and gender diversity in the science education research community. The volume is organized around six themes: theory and methods of science education research; science learning; culture, gender, and society and science learning; science teaching; curriculum and assessment in science; science teacher education. Each chapter presents an integrative review of the research on the topic it addresses—pulling together the existing research, working to understand the historical trends and patterns in that body of scholarship, describing how the issue is conceptualized within the literature, how methods and theories have shaped the outcomes of the research, and where the strengths, weaknesses, and gaps are in the literature. Providing guidance to science education faculty and graduate students and leading to new insights and directions for future research, the Handbook of Research on Science Education, Volume II is an essential resource for the entire science education community.