Learning Mathematics in the Context of 3D Printing

2023-03-01

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Author: Frederik Dilling
Publisher: Springer Nature
ISBN: 3658388676
Category : Mathematics
Languages : en
Pages : 322

The volume presents a collection of articles on the use of 3D printing technology in mathematics education and in mathematics teacher training. It contains both basic research-oriented contributions as well as reflected descriptions of concrete developments for teaching. The authors of this compilation share a positive attitude towards the possibilities that the use of 3D printing technology (understood as an interplay of software and hardware) can unfold for mathematics education, but critically evaluate from a mathematics education research perspective when, where and how an application can enable an added value for the learning of a mathematical content.

Illustrating Mathematics

2020-10-16

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Author: Diana Davis
Publisher: American Mathematical Soc.
ISBN: 1470461226
Category : Education
Languages : en
Pages : 171

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.

3D Printing in Mathematics

2023-11-07

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Author: Maria Trnkova
Publisher: American Mathematical Society
ISBN: 1470469162
Category : Mathematics
Languages : en
Pages : 242

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.

Interdisciplinary and International Perspectives on 3D Printing in Education

2018-11-23

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Author: Santos, Ieda M.
Publisher: IGI Global
ISBN: 1522570195
Category : Education
Languages : en
Pages : 346

Although 3D printing technologies are still a rarity in many classrooms and other educational settings, their far-reaching applications across a wide range of subjects make them a desirable instructional aid. Effective implementation of these technologies can engage learners through project-based learning and exploration of objects. Interdisciplinary and International Perspectives on 3D Printing in Education is a collection of advanced research that facilitates discussions on interdisciplinary fields and international perspectives, from kindergarten to higher education, to inform the uses of 3D printing in education from diverse and broad perspectives. Covering topics such as computer-aided software, learning theories, and educational policy, this book is ideally designed for educators, practitioners, instructional designers, and researchers.

Make: Geometry

2021-07-31

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Author: Joan Horvath
Publisher: Make Community, LLC
ISBN: 9781680456714
Category :
Languages : en
Pages : 312

Geometry, of all the branches of mathematics, is the one that is most easily visualized by making something. However, it is all too easy to reduce it to reams of formulas to memorize and proofs to replicate. This book aims to take geometry back to its practical roots with 3D printed models and puzzles as well as demonstrations with household objects like flashlights and paper towel tubes. This is not a traditional geometry textbook, but rather builds up understanding of geometry concepts encountered primarily in middle school while also bringing in elements of concepts normally learned much later. Some of the models are counterintuitive, and figuring out how and why they work will both entertain and give insights. Two final chapters suggesting open-ended projects in astronomy and physics, and art and architecture, allow for deeper understanding and integration of the learning in the rest of the book.

Visualizing Mathematics with 3D Printing

2016-10-04

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Author: Henry Segerman
Publisher: JHU Press
ISBN: 1421420368
Category : Mathematics
Languages : en
Pages : 201

The first book to explain mathematics using 3D printed models. Winner of the Technical Text of the Washington Publishers Wouldn’t it be great to experience three-dimensional ideas in three dimensions? In this book—the first of its kind—mathematician and mathematical artist Henry Segerman takes readers on a fascinating tour of two-, three-, and four-dimensional mathematics, exploring Euclidean and non-Euclidean geometries, symmetry, knots, tilings, and soap films. Visualizing Mathematics with 3D Printing includes more than 100 color photographs of 3D printed models. Readers can take the book’s insights to a new level by visiting its sister website, 3dprintmath.com, which features virtual three-dimensional versions of the models for readers to explore. These models can also be ordered online or downloaded to print on a 3D printer. Combining the strengths of book and website, this volume pulls higher geometry and topology out of the realm of the abstract and puts it into the hands of anyone fascinated by mathematical relationships of shape. With the book in one hand and a 3D printed model in the other, readers can find deeper meaning while holding a hyperbolic honeycomb, touching the twists of a torus knot, or caressing the curves of a Klein quartic.

Learning Experiences to Promote Mathematics Learning

2014-05-27

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Author: Pee Choon Toh
Publisher: World Scientific
ISBN: 9814612936
Category : Mathematics
Languages : en
Pages : 308

This sixth volume, in the series of yearbooks by the Association of Mathematics Educators in Singapore, entitled Learning Experiences to Promote Mathematics Learning is unique in that it focuses on a single theme in mathematics education. The objective is for teachers and researchers to advance the learning of mathematics through meaningful experiences. Several renowned international and Singapore scholars have published their work in this volume. The fourteen chapters of the book illustrate evidence-based practices that school teachers and researchers can experiment with in their own classrooms to bring about meaningful learning outcomes. Three broad themes, namely fundamentals for active and motivated learning, learning experiences for developing mathematical processes, and use of ICT tools for learning through visualizations, simulations and representations, shape the ideas in these chapters. The book makes a significant contribution towards the learning of mathematics. It is a good resource for mathematics teachers, educators and research students. Contents:It Matters How Students Learn Mathematics (Berinderjeet KAUR)M_Crest: A Framework of Motivation to Learn Mathematics (WONG Khoon Yoong)Designing Learning Experiences for Effective Instruction in Secondary Mathematics (TOH Tin Lam)Providing Students' Authentic Learning Experience Through 3D Printing Technology (Oh Nam KWON, Jee Hyun PARK and Jung Sook PARK)What Do Teachers Need to Know to Teach Secondary Mathematics (Kim BESWICK)Defining, Extending, and Creating: Key Experiences in Mathematics (Yoshinori SHIMIZU)Teaching for Abstraction through Mathematical Learning Experiences (CHENG Lu Pien)Making Sense of Number Sense: Creating Learning Experiences for Primary Pupils to Develop Their Number Sense (YEO Kai Kow Joseph)Learning Experiences Designed to Develop Algebraic Thinking: Lessons From the ICCAMS Project in England (Jeremy HODGEN, Dietmar KÜCHEMANN and Margaret BROWN)Learning Experiences Designed to Develop Multiplicative Reasoning; Using Models to Foster Learners' Understanding (Margaret BROWN, Jeremy HODGEN and Dietmar KÜCHEMANN)Learning Mathematical Induction Through Experiencing Authentic Problem Solving (TAY Eng Guan and TOH Pee Choon)Scaffolding and Constructing New Problems for Teaching Mathematical Proofs in the A-Levels (ZHAO Dongsheng)Learning Number in the Primary School Through ICT (Barry KISSANE)Learning Algebra and Geometry Through ICT (Marian KEMP) Readership: Graduate students, researchers, practitioners and teachers in mathematics. Key Features:Firstly it has a focused theme: Learning Experiences that Promote Mathematics Learning, which is of prime concern of mathematics educators in the 21st centurySecondly it is written by university scholars who work closely with classroom mathematics teachers thereby drawing on their research knowledge and classroom experiencesLastly, the book is rich resource, of tried and tested practical know-how of approaches that promote mathematics learning, for mathematics educators in Singapore schools and elsewhereKeywords:Mathematics;Pedagogy;Learning Experiences;Singapore;Teachers;Instruction

Active Learning in College Science

2020-02-23

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Author: Joel J. Mintzes
Publisher: Springer Nature
ISBN: 303033600X
Category : Science
Languages : en
Pages : 989

This book explores evidence-based practice in college science teaching. It is grounded in disciplinary education research by practicing scientists who have chosen to take Wieman’s (2014) challenge seriously, and to investigate claims about the efficacy of alternative strategies in college science teaching. In editing this book, we have chosen to showcase outstanding cases of exemplary practice supported by solid evidence, and to include practitioners who offer models of teaching and learning that meet the high standards of the scientific disciplines. Our intention is to let these distinguished scientists speak for themselves and to offer authentic guidance to those who seek models of excellence. Our primary audience consists of the thousands of dedicated faculty and graduate students who teach undergraduate science at community and technical colleges, 4-year liberal arts institutions, comprehensive regional campuses, and flagship research universities. In keeping with Wieman’s challenge, our primary focus has been on identifying classroom practices that encourage and support meaningful learning and conceptual understanding in the natural sciences. The content is structured as follows: after an Introduction based on Constructivist Learning Theory (Section I), the practices we explore are Eliciting Ideas and Encouraging Reflection (Section II); Using Clickers to Engage Students (Section III); Supporting Peer Interaction through Small Group Activities (Section IV); Restructuring Curriculum and Instruction (Section V); Rethinking the Physical Environment (Section VI); Enhancing Understanding with Technology (Section VII), and Assessing Understanding (Section VIII). The book’s final section (IX) is devoted to Professional Issues facing college and university faculty who choose to adopt active learning in their courses. The common feature underlying all of the strategies described in this book is their emphasis on actively engaging students who seek to make sense of natural objects and events. Many of the strategies we highlight emerge from a constructivist view of learning that has gained widespread acceptance in recent years. In this view, learners make sense of the world by forging connections between new ideas and those that are part of their existing knowledge base. For most students, that knowledge base is riddled with a host of naïve notions, misconceptions and alternative conceptions they have acquired throughout their lives. To a considerable extent, the job of the teacher is to coax out these ideas; to help students understand how their ideas differ from the scientifically accepted view; to assist as students restructure and reconcile their newly acquired knowledge; and to provide opportunities for students to evaluate what they have learned and apply it in novel circumstances. Clearly, this prescription demands far more than most college and university scientists have been prepared for.

Research Anthology on Makerspaces and 3D Printing in Education

2022-05-06

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Author: Management Association, Information Resources
Publisher: IGI Global
ISBN: 1668462966
Category : Education
Languages : en
Pages : 771

Education has changed dramatically in recent years as educational technologies evolve and develop at a rapid pace. Teachers and institutions must constantly update their practices and curricula to match this changing landscape to ensure students receive the best education possible. 3D printing has emerged as a new technology that has the potential to enhance student learning and development. Moreover, the availability of makerspaces within schools and libraries allows students to utilize technologies that drive creativity. Further study on the strategies and challenges of implementation is needed for educators to appropriately adopt these learning practices. The Research Anthology on Makerspaces and 3D Printing in Education considers the benefits these technologies provide in relation to education as well as the various ways they can be utilized in the classroom for student learning. The book also provides a review of the difficulties educators face when implementing these technologies into their curricula and ensuring student success. Covering topics such as educational technologies, creativity, and online learning, this major reference work is ideal for administrators, principals, researchers, scholars, practitioners, academicians, instructors, and students.

3D Printing Projects

2017-10-03

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Author: DK
Publisher: Penguin
ISBN: 1465472509
Category : Computers
Languages : en
Pages : 98

From a simple desk tidy to an elaborate castle, this step-by-step guide to 3D printing is perfect for children and beginners who want to learn how to design and print anything even if they do not own a printer. 3D Printing Projects provides an introduction to the exciting and ever-expanding world of 3D designing and printing. Learn how a 3D printer works and the different types of 3D printers on the market. Understand the basic 3D printing and designing terms, how to create and prepare files for printing, and also how to scan things to create a 3D model! You will also find out the common troubles faced while 3D printing and simple tricks to fix them. All the projects included in the book can be made using freely available online 3D modeling/CAD programs. Each project has a print time, details of filament or material needed, and a difficulty rating - from "easy" for beginners to "difficult" for those looking for a new challenge. Step-by-step instructions walk you through the 3D design process, from digital modeling and sculpting to slicing, printing, and painting so that children can make their own shark-shaped phone stand, customized lamps, and much more. The book also gives inspiration to further enhance your projects once you've mastered the basics. Join the 3D printing revolution today with DK's 3D Printing Projects book.