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Geometry : Geometry
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Web Accessibility Cookbook: Creating Inclusive Experiences
Web Accessibility Cookbook: Creating Inclusive Experiences
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Geometry
This text is the fifth and final in the series of educational books written by Israel Gelfand with his colleagues for high school students.These books cover the basics of mathematics in a clear and simple format – the style Gelfand was known for internationally.Gelfand prepared these materials so as to be suitable for independent studies, thus allowing students to learn and practice the material at their own pace without a class. Geometry takes a different approach to presenting basic geometry for high-school students and others new to the subject. Rather than following the traditional axiomatic method that emphasizes formulae and logical deduction, it focuses on geometric constructions.Illustrations and problems are abundant throughout, and readers are encouraged to draw figures and “move” them in the plane, allowing them to develop and enhance their geometrical vision, imagination, and creativity.Chapters are structured so that only certain operations and the instruments to perform these operations are available for drawing objects and figures on the plane.This structure corresponds to presenting, sequentially, projective, affine, symplectic, and Euclidean geometries, all the while ensuring students have the necessary tools to follow along. Geometry is suitable for a large audience, which includes not only high school geometry students, but also teachers and anyone else interested in improving their geometrical vision and intuition, skills useful in many professions.Similarly, experienced mathematicians can appreciate the book’s unique way of presenting plane geometry in a simple form while adhering to its depth and rigor. “Gelfand was a great mathematician and also a great teacher.The book provides an atypical view of geometry. Gelfand gets to the intuitive core of geometry, to the phenomena of shapes and how they move in the plane, leadingus to a better understanding of what coordinate geometry and axiomatic geometry seek to describe.” - Mark Saul, PhD, Executive Director, Julia Robinson Mathematics Festival“The subject matter is presented as intuitive, interesting and fun. No previous knowledge of the subject is required. Starting from the simplest concepts and by inculcating in the reader the use of visualization skills, [and] after reading the explanations and working through the examples, you will be able to confidently tackle the interesting problems posed. I highly recommend the book to any person interested in this fascinating branch of mathematics.” - Ricardo Gorrin, a student of the Extended Gelfand Correspondence Program in Mathematics (EGCPM)
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Equality, Participation and Inclusion 1 : Diverse Perspectives
What are the experiences of children and young people?How can we think about the challenges they face?What systems and practices can support them?How can we develop greater equality, participation and inclusion across diverse settings?This second edition of Equality, Participation and Inclusion 1: Diverse Perspectives is the first of two Readers aimed at people with an interest in issues of equality, participation and inclusion for children and young people.This first Reader focuses in particular on the diverse perspectives held by different practitioners and stakeholders.Comprising readings taken from the latest research in journal articles, newly commissioned chapters, as well as several chapters from the first edition that retain particular relevance, this fully updated second edition has broadened its focus to consider a greater diversity of perspectives.Whilst exploring how we think about the experiences of children and young people across a range of contexts it maintains a subtle, underlying emphasis upon education and the experiences of disabled people. Drawing on the writing of academics, practitioners, children and young people, and people who have experienced exclusion, this book is a rich resource for students and practitioners who are interested in thinking about how inequality and exclusion are experienced, and how they can be challenged.Much of the material reflects on lived experiences and life stories, and will be of particular interest to those working in education, health, youth and community work, youth justice and social services, as well as to families and advocates.
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Breaking Down Barriers : Usability, Accessibility and Inclusive Design
The Cambridge Workshops on Universal Access and Assistive Technology (CWUAAT) is one of the few gatherings where people interested in inclusive design, across different fields, including designers, computer scientists, engineers, architects, ergonomists, ethnographers, policymakers and user communities, meet, discuss, and collaborate.CWUAAT has also become an international workshop, representing diverse cultures including Portugal, Germany, Trinidad and Tobago, Canada, Australia, China, Norway, USA, Belgium, UK, and many more. The workshop has five main themes based on barriers identified in the developing field of design for inclusion: I Breaking Down Barriers between Disciplines II Breaking Down Barriers between Users, Designers and Developers III Removing Barriers to Usability, Accessibility and Inclusive Design IV Breaking Down Barriers between People with Impairments and Those without V Breaking Down Barriers between Research and Policy-making In the context of developing demographic changes leading to greater numbers of older people and people living with impairments, the general field of inclusive design research strives to relate the capabilities of the population to the design of products, services, and spaces.CWUAAT has always had a successful multidisciplinary focus, but if genuine transdisciplinary fields are to evolve from this, the final barriers to integrated research must be identified and characterised.Only then will benefits be realised in an inclusive society.Barriers do not arise from impairments themselves, but instead, are erected by humans, who often have not considered a greater variation in sensory, cognitive and physical user capabilities.Barriers are not only technical or architectural, but they also exist between different communities of professionals.Our continual goal with the CWUAAT workshop series is to break down barriers in technical, physical, and architectural design, as well as barriers between different professional communities.
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Beautiful Geometry
If you've ever thought that mathematics and art don't mix, this stunning visual history of geometry will change your mind.As much a work of art as a book about mathematics, Beautiful Geometry presents more than sixty exquisite color plates illustrating a wide range of geometric patterns and theorems, accompanied by brief accounts of the fascinating history and people behind each.With artwork by Swiss artist Eugen Jost and text by math historian Eli Maor, this unique celebration of geometry covers numerous subjects, from straightedge-and-compass constructions to intriguing configurations involving infinity.The result is a delightful and informative illustrated tour through the 2,500-year-old history of one of the most important branches of mathematics.
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Make - Geometry
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 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.
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Differential Geometry
This textbook provides a concise introduction to the differential geometry of curves and surfaces in three-dimensional space, tailored for undergraduate students with a solid foundation in mathematical analysis and linear algebra. The book emphasizes the geometric content of the subject, aiming to quickly cover fundamental topics such as the isoperimetric inequality and the Gauss–Bonnet theorem.This approach allows the author to extend beyond the typical content of introductory books and include additional important geometric results, such as curves and surfaces of constant width, the classification of complete surfaces of non-negative constant curvature, and Hadamard's theorem on surfaces of non-positive curvature.This range of topics offers greater variety for an introductory course.
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