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Mathematics for Machine Learning
The fundamental mathematical tools needed to understand machine learning include linear algebra, analytic geometry, matrix decompositions, vector calculus, optimization, probability and statistics.These topics are traditionally taught in disparate courses, making it hard for data science or computer science students, or professionals, to efficiently learn the mathematics.This self-contained textbook bridges the gap between mathematical and machine learning texts, introducing the mathematical concepts with a minimum of prerequisites.It uses these concepts to derive four central machine learning methods: linear regression, principal component analysis, Gaussian mixture models and support vector machines.For students and others with a mathematical background, these derivations provide a starting point to machine learning texts.For those learning the mathematics for the first time, the methods help build intuition and practical experience with applying mathematical concepts.Every chapter includes worked examples and exercises to test understanding.Programming tutorials are offered on the book's web site.
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Teaching Mathematics Using Interactive Mapping
Teaching Mathematics Using Interactive Mapping offers novel ways to learn basic math topics such as simple relational measures or measuring hierarchies through customized interactive mapping activities.These activities focus on interactive web-based Geographic Information System (GIS) and are relevant to today’s problems and challenges.Written in a guided, hands-on, understandable manner, all activities are designed to build practical and problem-solving skills that rest on mathematical principles and move students from thinking about maps as references that focus solely on "where is" something, to analytical tools, focusing primarily on the "whys of where." Success with this transition through interaction permits most readers to master mathematical concepts and GIS tools. FEATURESOffers custom-designed geographical activities to fit with specific mathematical topicsHelps students become comfortable using mathematics in a variety of professionsProvides an innovative, engaging, and practical set of activities to ease readers through typically difficult, often elementary, mathematical topics: fractions, the distributive law, and much moreUses web-based GIS maps, apps, and other tools and data that can be accessed on any device, anywhere, at any time, requiring no prior GIS backgroundWritten by experienced teachers and researchers with lifelong experience in teaching mathematics, geography, and spatial analysisFeatures an accompanying Solution Guide, available on the book's product page, that is beneficial for instructors, students, and other readers as an aid to gauging progress. This textbook applies to undergraduate and graduate students in universities and community colleges including those in basic mathematics courses, as well as upper-level undergraduate and graduate students taking courses in geographic information systems, remote sensing, photogrammetry, geography, geodesy, information science, engineering, and geology.Professionals interested in learning techniques and technologies for collecting, analyzing, managing, processing, and visualizing geospatial datasets will also benefit from this book as they refresh their knowledge in mathematics.
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Learning to Teach Mathematics in the Secondary School : A companion to school experience
Learning to Teach Mathematics in the Secondary School combines theory and practice to present a broad introduction to the opportunities and challenges of teaching mathematics in the secondary school classroom.This fourth edition has been fully updated to reflect the latest changes to the curriculum and research in the field, taking into account key developments in teacher training and education, including examinations and assessment.Written specifically with the new and student teacher in mind, the book covers a wide range of issues related to the teaching of mathematics, such as:why we teach mathematics the place of mathematics in the National Curriculum planning, teaching and assessing for mathematics learning how to communicate mathematically using digital technology to advance mathematical learningworking with students with special educational needs post-16 teachingthe importance of professional developmentthe affective dimension when learning mathematics, including motivation, confidence and resilienceAlready a major text for many university teaching courses, this revised edition features a glossary of useful terms and carefully designed tasks to prompt critical reflection and support thinking and writing up to Masters Level.Issues of professional development are also examined, as well as a range of teaching approaches and styles from whole-class strategies to personalised learning, helping you to make the most of school experience, during your training and beyond. Designed for use as a core textbook, Learning to Teach Mathematics in the Secondary School provides essential guidance and advice for all those who aspire to be effective mathematics teachers.
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Museums and Interactive Virtual Learning
Museums and Interactive Virtual Learning provides informal educators with practical resources that will help them to build dynamic digital engagement experiences within their own cultural organizations. Presenting vignettes from experienced museum educators and end users, as well as scientific data and practical resources, the book highlights the mutual benefits that Interactive Virtual Learning (IVL) programs offer to the museum and those visiting from a distance.Chapters mirror the step-by-step process of developing reputable IVL programs and emphasize how important it is for cultural organizations to encourage cross-departmental collaboration, if they wish to ensure that their programs align with the overall goals of the organization.Providing a thorough overview of the technologies, budget, marketing and staff requirements, the authors offer a realistic depiction of the work involved in building content for digital engagement.Emphasizing the importance of assessing existing programming, the book shows how institutions can adapt content to fit a virtual format and create inclusive digital engagement opportunities that reach local, national, and international audiences. Museums and Interactive Virtual Learning is an essential guide for professionals who are tasked with interpreting the content of a cultural organization and building lasting digital engagement opportunities.It will be particularly useful to those looking to reach diverse audiences.
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Wooden Montessori Early Learning Mathematics Board
Make learning fun with the Wooden Montessori Early Learning Mathematics Board Colourful board made with wood Perfect for learning simple maths including division and multiplication Features 19 number tiles, 5 mathematical symbols and 52 sticks Dimensions: 23cm x 16cm x 3cm Suitable for children aged 3 and over Save 80% on the Wooden Montessori Early Learning Mathematics Board for 5.99 pounds
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Kant's Mathematical World : Mathematics, Cognition, and Experience
Kant's Mathematical World aims to transform our understanding of Kant's philosophy of mathematics and his account of the mathematical character of the world.Daniel Sutherland reconstructs Kant's project of explaining both mathematical cognition and our cognition of the world in terms of our most basic cognitive capacities.He situates Kant in a long mathematical tradition with roots in Euclid's Elements, and thereby recovers the very different way of thinking about mathematics which existed prior to its 'arithmetization' in the nineteenth century.He shows that Kant thought of mathematics as a science of magnitudes and their measurement, and all objects of experience as extensive magnitudes whose real properties have intensive magnitudes, thus tying mathematics directly to the world.His book will appeal to anyone interested in Kant's critical philosophy -- either his account of the world of experience, or his philosophy of mathematics, or how the two inform each other.
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Essential Mathematics for Games and Interactive Applications
Expert Guidance on the Math Needed for 3D Game ProgrammingDeveloped from the authors’ popular Game Developers Conference (GDC) tutorial, Essential Mathematics for Games and Interactive Applications, Third Edition illustrates the importance of mathematics in 3D programming.It shows you how to properly animate, simulate, and render scenes and discusses the mathematics behind the processes. New to the Third EditionCompletely revised to fix errors and make the content flow better, this third edition reflects the increased use of shader graphics pipelines, such as in DirectX 11, OpenGL ES (GLES), and the OpenGL Core Profile.It also updates the material on real-time graphics with coverage of more realistic materials and lighting. The Foundation for Successful 3D ProgrammingThe book covers the low-level mathematical and geometric representations and algorithms that are the core of any game engine.It also explores all the stages of the rendering pipeline.The authors explain how to represent, transform, view, and animate geometry.They then focus on visual matters, specifically the representation, computation, and use of color.They also address randomness, intersecting geometric entities, and physical simulation. An Introduction to Creating Real and Active Virtual WorldsThis updated book provides you with a conceptual understanding of the mathematics needed to create 3D games as well as a practical understanding of how these mathematical bases actually apply to games and graphics.It not only includes the theoretical mathematical background but also incorporates many examples of how the concepts are used to affect how a game looks and plays. Web ResourceA supplementary website contains a collection of source code, supporting libraries, and interactive demonstrations that illustrate the concepts and enable you to experiment with animation and simulation applications.The site also includes slides and notes from the authors’ GDC tutorials.
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STEM in Early Childhood Education : How Science, Technology, Engineering, and Mathematics Strengthen Learning
Bringing together a diverse cohort of experts, STEM in Early Childhood Education explores the ways STEM can be integrated into early childhood curricula, highlighting recent research and innovations in the field, and implications for both practice and policy. Based on the argument that high-quality STEM education needs to start early, this book emphasizes that early childhood education must include science, technology, engineering, and mathematics in developmentally appropriate ways based on the latest research and theories.Experienced chapter authors address the theoretical underpinnings of teaching STEM in the early years, while contextualizing these ideas for the real world using illustrative examples from the classroom.This cutting-edge collection also looks beyond the classroom to how STEM learning can be facilitated in museums, nature-based learning outdoors, and after-school programs.STEM in Early Childhood Education is an excellent resource for aspiring and veteran educators alike, exploring the latest research, providing inspiration, and advancing best practices for teaching STEM in the early years.
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