Visualizing Mathematics with 3D Printing

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Author :
Publisher : JHU Press
ISBN 13 : 1421420368
Total Pages : 201 pages
Book Rating : 4.4/5 (214 download)

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Book Synopsis Visualizing Mathematics with 3D Printing by : Henry Segerman

Download or read book Visualizing Mathematics with 3D Printing written by Henry Segerman and published by JHU Press. This book was released on 2016-10-04 with total page 201 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

A Visual Introduction to Differential Forms and Calculus on Manifolds

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Author :
Publisher : Springer
ISBN 13 : 3319969927
Total Pages : 470 pages
Book Rating : 4.3/5 (199 download)

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Book Synopsis A Visual Introduction to Differential Forms and Calculus on Manifolds by : Jon Pierre Fortney

Download or read book A Visual Introduction to Differential Forms and Calculus on Manifolds written by Jon Pierre Fortney and published by Springer. This book was released on 2018-11-03 with total page 470 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book explains and helps readers to develop geometric intuition as it relates to differential forms. It includes over 250 figures to aid understanding and enable readers to visualize the concepts being discussed. The author gradually builds up to the basic ideas and concepts so that definitions, when made, do not appear out of nowhere, and both the importance and role that theorems play is evident as or before they are presented. With a clear writing style and easy-to- understand motivations for each topic, this book is primarily aimed at second- or third-year undergraduate math and physics students with a basic knowledge of vector calculus and linear algebra.

Modeling and Simulation of Everyday Things

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Publisher : CRC Press
ISBN 13 : 1351067745
Total Pages : 354 pages
Book Rating : 4.3/5 (51 download)

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Book Synopsis Modeling and Simulation of Everyday Things by : Michael W. Roth

Download or read book Modeling and Simulation of Everyday Things written by Michael W. Roth and published by CRC Press. This book was released on 2018-03-29 with total page 354 pages. Available in PDF, EPUB and Kindle. Book excerpt: How can computer modeling and simulation tools be used to understand and analyze common situations and everyday problems? Readers will find here an easy-to-follow, enjoyable introduction for anyone even with little background training. Examples are incorporated throughout to stimulate interest and engage the reader. Build the necessary skillsets with operating systems, editing, languages, commands, and visualization. Obtain hands-on examples from sports, accidents, and disease to problems of heat transfer, fluid flow, waves, and groundwater flow. Includes discussion of parallel computing and graphics processing units. This introductory, practical guide is suitable for students at any level up to professionals looking to use modeling and simulation to help solve basic to more advanced problems. Michael W. Roth, PhD, serves as Dean of the School of STEM and Business at Hawkeye Community College in Waterloo, Iowa. He was most recently Chair for three years at Northern Kentucky University's Department of Physics, Geology and Engineering Technology, and holds several awards for teaching excellence.

Visualizing Quaternions

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Author :
Publisher : Elsevier
ISBN 13 : 0080474772
Total Pages : 530 pages
Book Rating : 4.0/5 (84 download)

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Book Synopsis Visualizing Quaternions by : Andrew J. Hanson

Download or read book Visualizing Quaternions written by Andrew J. Hanson and published by Elsevier. This book was released on 2006-02-06 with total page 530 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introduced 160 years ago as an attempt to generalize complex numbers to higher dimensions, quaternions are now recognized as one of the most important concepts in modern computer graphics. They offer a powerful way to represent rotations and compared to rotation matrices they use less memory, compose faster, and are naturally suited for efficient interpolation of rotations. Despite this, many practitioners have avoided quaternions because of the mathematics used to understand them, hoping that some day a more intuitive description will be available.The wait is over. Andrew Hanson's new book is a fresh perspective on quaternions. The first part of the book focuses on visualizing quaternions to provide the intuition necessary to use them, and includes many illustrative examples to motivate why they are important—a beautiful introduction to those wanting to explore quaternions unencumbered by their mathematical aspects. The second part covers the all-important advanced applications, including quaternion curves, surfaces, and volumes. Finally, for those wanting the full story of the mathematics behind quaternions, there is a gentle introduction to their four-dimensional nature and to Clifford Algebras, the all-encompassing framework for vectors and quaternions. - Richly illustrated introduction for the developer, scientist, engineer, or student in computer graphics, visualization, or entertainment computing. - Covers both non-mathematical and mathematical approaches to quaternions.

Visualization in Mathematics, Reading and Science Education

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Author :
Publisher : Springer Science & Business Media
ISBN 13 : 9048188164
Total Pages : 112 pages
Book Rating : 4.0/5 (481 download)

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Book Synopsis Visualization in Mathematics, Reading and Science Education by : Linda M. Phillips

Download or read book Visualization in Mathematics, Reading and Science Education written by Linda M. Phillips and published by Springer Science & Business Media. This book was released on 2010-09-02 with total page 112 pages. Available in PDF, EPUB and Kindle. Book excerpt: Science education at school level worldwide faces three perennial problems that have become more pressing of late. These are to a considerable extent interwoven with concerns about the entire school curriculum and its reception by students. The rst problem is the increasing intellectual isolation of science from the other subjects in the school curriculum. Science is too often still taught didactically as a collection of pre-determined truths about which there can be no dispute. As a con- quence, many students do not feel any “ownership” of these ideas. Most other school subjects do somewhat better in these regards. For example, in language classes, s- dents suggest different interpretations of a text and then debate the relative merits of the cases being put forward. Moreover, ideas that are of use in science are presented to students elsewhere and then re-taught, often using different terminology, in s- ence. For example, algebra is taught in terms of “x, y, z” in mathematics classes, but students are later unable to see the relevance of that to the meaning of the universal gas laws in physics, where “p, v, t” are used. The result is that students are c- fused and too often alienated, leading to their failure to achieve that “extraction of an education from a scheme of instruction” which Jerome Bruner thought so highly desirable.

Visualizing Visualization

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Author :
Publisher :
ISBN 13 :
Total Pages : 276 pages
Book Rating : 4.:/5 (66 download)

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Book Synopsis Visualizing Visualization by : T. J. Jankun-Kelly

Download or read book Visualizing Visualization written by T. J. Jankun-Kelly and published by . This book was released on 2003 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Complete Idiot's Guide to Calculus

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Author :
Publisher : Penguin
ISBN 13 : 1592574718
Total Pages : 354 pages
Book Rating : 4.5/5 (925 download)

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Book Synopsis The Complete Idiot's Guide to Calculus by : W. Michael Kelley

Download or read book The Complete Idiot's Guide to Calculus written by W. Michael Kelley and published by Penguin. This book was released on 2006 with total page 354 pages. Available in PDF, EPUB and Kindle. Book excerpt: Let's face it- most students don't take calculus because they find it intellectually stimulating. It's not . . . at least for those who come up on the wrong side of the bell curve! There they are, minding their own business, working toward some non-science related degree, when . . . BLAM! They get next semester's course schedule in the mail, and first on the list is the mother of all loathed college courses . . . CALCULUS! Not to fear-The Complete Idiot's Guide to Calculus, Second Edition, like its predecessor, is a curriculum-based companion book created with this audience in mind. This new edition continues the tradition of taking the sting out of calculus by adding more explanatory graphs and illustrations and doubling the number of practice problems! By the time readers are finished, they will have a solid understanding (maybe even a newfound appreciation) for this useful form of math. And with any luck, they may even be able to make sense of their textbooks and teachers.

Visual Complex Analysis

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Publisher : Oxford University Press
ISBN 13 : 9780198534464
Total Pages : 620 pages
Book Rating : 4.5/5 (344 download)

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Book Synopsis Visual Complex Analysis by : Tristan Needham

Download or read book Visual Complex Analysis written by Tristan Needham and published by Oxford University Press. This book was released on 1997 with total page 620 pages. Available in PDF, EPUB and Kindle. Book excerpt: This radical first course on complex analysis brings a beautiful and powerful subject to life by consistently using geometry (not calculation) as the means of explanation. Aimed at undergraduate students in mathematics, physics, and engineering, the book's intuitive explanations, lack of advanced prerequisites, and consciously user-friendly prose style will help students to master the subject more readily than was previously possible. The key to this is the book's use of new geometric arguments in place of the standard calculational ones. These geometric arguments are communicated with the aid of hundreds of diagrams of a standard seldom encountered in mathematical works. A new approach to a classical topic, this work will be of interest to students in mathematics, physics, and engineering, as well as to professionals in these fields.

Enhancing Mathematics Understanding through Visualization: The Role of Dynamical Software

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Author :
Publisher : IGI Global
ISBN 13 : 1466640510
Total Pages : 298 pages
Book Rating : 4.4/5 (666 download)

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Book Synopsis Enhancing Mathematics Understanding through Visualization: The Role of Dynamical Software by : Habre, Samer

Download or read book Enhancing Mathematics Understanding through Visualization: The Role of Dynamical Software written by Habre, Samer and published by IGI Global. This book was released on 2013-05-31 with total page 298 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics is, by its very nature, an abstract discipline. However, many students learn best by thinking in terms of tangible constructs. Enhancing Mathematics Understanding through Visualization: The Role of Dynamical Software brings these conflicting viewpoints together by offering visual representations as a method of mathematics instruction. The book explores the role of technology in providing access to multiple representations of concepts, using software applications to create a rich environment in which a student’s understanding of mathematical concepts can flourish. Both students and instructors of mathematics at the university level will use this book to implement various novel techniques for the delivery of mathematical concepts in their classrooms. This book is part of the Research Essential collection.

Advanced Calculus (Revised Edition)

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Publisher : World Scientific Publishing Company
ISBN 13 : 9814583952
Total Pages : 595 pages
Book Rating : 4.8/5 (145 download)

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Book Synopsis Advanced Calculus (Revised Edition) by : Lynn Harold Loomis

Download or read book Advanced Calculus (Revised Edition) written by Lynn Harold Loomis and published by World Scientific Publishing Company. This book was released on 2014-02-26 with total page 595 pages. Available in PDF, EPUB and Kindle. Book excerpt: An authorised reissue of the long out of print classic textbook, Advanced Calculus by the late Dr Lynn Loomis and Dr Shlomo Sternberg both of Harvard University has been a revered but hard to find textbook for the advanced calculus course for decades.This book is based on an honors course in advanced calculus that the authors gave in the 1960's. The foundational material, presented in the unstarred sections of Chapters 1 through 11, was normally covered, but different applications of this basic material were stressed from year to year, and the book therefore contains more material than was covered in any one year. It can accordingly be used (with omissions) as a text for a year's course in advanced calculus, or as a text for a three-semester introduction to analysis.The prerequisites are a good grounding in the calculus of one variable from a mathematically rigorous point of view, together with some acquaintance with linear algebra. The reader should be familiar with limit and continuity type arguments and have a certain amount of mathematical sophistication. As possible introductory texts, we mention Differential and Integral Calculus by R Courant, Calculus by T Apostol, Calculus by M Spivak, and Pure Mathematics by G Hardy. The reader should also have some experience with partial derivatives.In overall plan the book divides roughly into a first half which develops the calculus (principally the differential calculus) in the setting of normed vector spaces, and a second half which deals with the calculus of differentiable manifolds.

Visualizing with CAD

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Publisher : Springer
ISBN 13 : 1475769466
Total Pages : 390 pages
Book Rating : 4.4/5 (757 download)

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Book Synopsis Visualizing with CAD by : Daniela Bertol

Download or read book Visualizing with CAD written by Daniela Bertol and published by Springer. This book was released on 2013-11-11 with total page 390 pages. Available in PDF, EPUB and Kindle. Book excerpt: I spent the first twenty six years of my life in Rome. I used to go for ice cream to a popular place near the Pantheon and I remem ber the excitement I felt, beyond the chocolate and whipped cream, when I entered this ancient Roman temple. After staring at the "shower" of light coming from the circular opening at the center of the dome, as strong as a spotlight, I remember being attracted almost hypnotically to the place below the opening. I remember counting the coffers carving the concave dome, com posed in five rows of circular arrays, and could feel the power and protection created by the concave space. I also recall going every Sunday to Piazza San Pietro. This Baroque square is well known for its colonnades, which have an oval shape defined by two interlocking circles. For each of these circles there is a mark, located approximately at its center, from which the four aligned rows of columns appear as one. Before entering the church, almost as a part of a ritual, I had to find the mark in the pavement of the oval square. I was amazed by how the rows of columns could appear and disappear according to my position in relation to the mark:.

Immersive Environments, Augmented Realities, and Virtual Worlds: Assessing Future Trends in Education

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Author :
Publisher : IGI Global
ISBN 13 : 1466627018
Total Pages : 331 pages
Book Rating : 4.4/5 (666 download)

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Book Synopsis Immersive Environments, Augmented Realities, and Virtual Worlds: Assessing Future Trends in Education by : D’Agustino, Steven

Download or read book Immersive Environments, Augmented Realities, and Virtual Worlds: Assessing Future Trends in Education written by D’Agustino, Steven and published by IGI Global. This book was released on 2012-12-31 with total page 331 pages. Available in PDF, EPUB and Kindle. Book excerpt: Technology has had direct impact on education in increasing the way that society continues to learn. Applications of immersive environments, virtual worlds, and augmented reality have significant implications for how teaching and learning are achieved in contemporary education. Immersive Environments, Augmented Realities and Virtual Worlds: Assessing Future Trends in Education brings together current research and performance in trends in education. While examining cyber behavior and the use of virtual worlds, immersive technologies and augmented realities aim to improve teaching and enhancing learning.

Mindset Mathematics: Visualizing and Investigating Big Ideas, Grade 6

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Publisher : John Wiley & Sons
ISBN 13 : 1119358671
Total Pages : 339 pages
Book Rating : 4.1/5 (193 download)

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Book Synopsis Mindset Mathematics: Visualizing and Investigating Big Ideas, Grade 6 by : Jo Boaler

Download or read book Mindset Mathematics: Visualizing and Investigating Big Ideas, Grade 6 written by Jo Boaler and published by John Wiley & Sons. This book was released on 2019-01-09 with total page 339 pages. Available in PDF, EPUB and Kindle. Book excerpt: Engage students in mathematics using growth mindset techniques The most challenging parts of teaching mathematics are engaging students and helping them understand the connections between mathematics concepts. In this volume, you'll find a collection of low floor, high ceiling tasks that will help you do just that, by looking at the big ideas at the sixth-grade level through visualization, play, and investigation. During their work with tens of thousands of teachers, authors Jo Boaler, Jen Munson, and Cathy Williams heard the same message—that they want to incorporate more brain science into their math instruction, but they need guidance in the techniques that work best to get across the concepts they needed to teach. So the authors designed Mindset Mathematics around the principle of active student engagement, with tasks that reflect the latest brain science on learning. Open, creative, and visual math tasks have been shown to improve student test scores, and more importantly change their relationship with mathematics and start believing in their own potential. The tasks in Mindset Mathematics reflect the lessons from brain science that: There is no such thing as a math person - anyone can learn mathematics to high levels. Mistakes, struggle and challenge are the most important times for brain growth. Speed is unimportant in mathematics. Mathematics is a visual and beautiful subject, and our brains want to think visually about mathematics. With engaging questions, open-ended tasks, and four-color visuals that will help kids get excited about mathematics, Mindset Mathematics is organized around nine big ideas which emphasize the connections within the Common Core State Standards (CCSS) and can be used with any current curriculum.

Mathematical Principles for Scientific Computing and Visualization

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Author :
Publisher : CRC Press
ISBN 13 : 156881321X
Total Pages : 296 pages
Book Rating : 4.5/5 (688 download)

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Book Synopsis Mathematical Principles for Scientific Computing and Visualization by : Gerald Farin

Download or read book Mathematical Principles for Scientific Computing and Visualization written by Gerald Farin and published by CRC Press. This book was released on 2008-10-21 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: This non-traditional introduction to the mathematics of scientific computation describes the principles behind the major methods, from statistics, applied mathematics, scientific visualization, and elsewhere, in a way that is accessible to a large part of the scientific community. Introductory material includes computational basics, a review of coordinate systems, an introduction to facets (planes and triangle meshes) and an introduction to computer graphics. The scientific computing part of the book covers topics in numerical linear algebra (basics, solving linear system, eigen-problems, SVD, and PCA) and numerical calculus (basics, data fitting, dynamic processes, root finding, and multivariate functions). The visualization component of the book is separated into three parts: empirical data, scalar values over 2D data, and volumes.

Visual Thinking in Mathematics

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Publisher : Clarendon Press
ISBN 13 : 019153661X
Total Pages : 298 pages
Book Rating : 4.1/5 (915 download)

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Book Synopsis Visual Thinking in Mathematics by : Marcus Giaquinto

Download or read book Visual Thinking in Mathematics written by Marcus Giaquinto and published by Clarendon Press. This book was released on 2007-07-05 with total page 298 pages. Available in PDF, EPUB and Kindle. Book excerpt: Visual thinking - visual imagination or perception of diagrams and symbol arrays, and mental operations on them - is omnipresent in mathematics. Is this visual thinking merely a psychological aid, facilitating grasp of what is gathered by other means? Or does it also have epistemological functions, as a means of discovery, understanding, and even proof? By examining the many kinds of visual representation in mathematics and the diverse ways in which they are used, Marcus Giaquinto argues that visual thinking in mathematics is rarely just a superfluous aid; it usually has epistemological value, often as a means of discovery. Drawing from philosophical work on the nature of concepts and from empirical studies of visual perception, mental imagery, and numerical cognition, Giaquinto explores a major source of our grasp of mathematics, using examples from basic geometry, arithmetic, algebra, and real analysis. He shows how we can discern abstract general truths by means of specific images, how synthetic a priori knowledge is possible, and how visual means can help us grasp abstract structures. Visual Thinking in Mathematics reopens the investigation of earlier thinkers from Plato to Kant into the nature and epistemology of an individual's basic mathematical beliefs and abilities, in the new light shed by the maturing cognitive sciences. Clear and concise throughout, it will appeal to scholars and students of philosophy, mathematics, and psychology, as well as anyone with an interest in mathematical thinking.

Historical Encyclopedia of Nursing

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Publisher :
ISBN 13 : 9780756770839
Total Pages : 0 pages
Book Rating : 4.7/5 (78 download)

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Book Synopsis Historical Encyclopedia of Nursing by : Mary Ellen Snodgrass

Download or read book Historical Encyclopedia of Nursing written by Mary Ellen Snodgrass and published by . This book was released on 2004 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nurses have been the foot soldiers of med., treating battlefield casualties, caring for the poor, comforting the dying, and fighting maladies ranging from TB and polio to AIDS. Here is the story of nursing from Roman times to the present, focusing on significant events, eras of conflict and social change, treatment innovations, landmark institutions, champions of women's health, and the evolution of mil. nursing. Covers important individuals, key nursing concepts, famous breakthroughs, historical eras, med., abortion pros and cons, ethnic cures, hospices, midwifery, native healers, hospital ships, Cadet Nurse Corps, pub's., and more. Includes a timeline of landmarks in nursing history and a detailed biblio. Numerous bio's. of healthcare pioneers and activists. Illus.

Visualisation and Epistemological Access to Mathematics Education in Southern Africa

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Author :
Publisher : Taylor & Francis
ISBN 13 : 1000859088
Total Pages : 229 pages
Book Rating : 4.0/5 (8 download)

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Book Synopsis Visualisation and Epistemological Access to Mathematics Education in Southern Africa by : Marc Schäfer

Download or read book Visualisation and Epistemological Access to Mathematics Education in Southern Africa written by Marc Schäfer and published by Taylor & Francis. This book was released on 2023-04-27 with total page 229 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book demonstrates that using visualisation processes in mathematics education can help to enhance teaching and learning and bridge the inequality gap that exists between well-resourced and under-resourced schools in Southern Africa. Drawing on classroom research conducted in the Southern African region, it examines how epistemological access in a context of gross inequality can be constructively addressed by providing research-based solutions and recommendations. The book outlines the visualisation process as an integral but often overlooked process of mathematics teaching and learning. It goes beyond the traditional understanding of visualisation processes such as picture forming and using tools and considers visualisation processes that are semiotic in nature and includes actions such as gestures in combination with language. It adds value to the visualisation in mathematics education research discourse and deliberation in Africa. With a unique focus on Southern Africa and open avenues for further research and collaboration in the region, it will be a highly relevant reading for researchers, academics and post-graduate students of mathematics education, comparative education and social justice education.