Engineering professor Barbara Oakley knows firsthand how it feels to struggle with math. In her book, she offers you the tools needed to get a better grasp of that intimidating but inescapable field.
From the winner of the Turing Award and the Abel Prize, an introduction to computational complexity theory, its connections and interactions with mathematics, and its central role in the natural and social sciences, technology, and philosophy Mathematics and Computation provides a broad, conceptual overview of computational complexity theory—the mathematical study of efficient computation. With important practical applications to computer science and industry, computational complexity theory has evolved into a highly interdisciplinary field, with strong links to most mathematical areas and to a growing number of scientific endeavors. Avi Wigderson takes a sweeping survey of complexity theory, emphasizing the field’s insights and challenges. He explains the ideas and motivations leading to key models, notions, and results. In particular, he looks at algorithms and complexity, computations and proofs, randomness and interaction, quantum and arithmetic computation, and cryptography and learning, all as parts of a cohesive whole with numerous cross-influences. Wigderson illustrates the immense breadth of the field, its beauty and richness, and its diverse and growing interactions with other areas of mathematics. He ends with a comprehensive look at the theory of computation, its methodology and aspirations, and the unique and fundamental ways in which it has shaped and will further shape science, technology, and society. For further reading, an extensive bibliography is provided for all topics covered. Mathematics and Computation is useful for undergraduate and graduate students in mathematics, computer science, and related fields, as well as researchers and teachers in these fields. Many parts require little background, and serve as an invitation to newcomers seeking an introduction to the theory of computation. Comprehensive coverage of computational complexity theory, and beyond High-level, intuitive exposition, which brings conceptual clarity to this central and dynamic scientific discipline Historical accounts of the evolution and motivations of central concepts and models A broad view of the theory of computation's influence on science, technology, and society Extensive bibliography
Professor Michael Edgeworth McIntyre is an eminent scientist who has also had a part-time career as a musician. From a lifetime's thinking, he offers this extraordinary synthesis exposing the deepest connections between science, music, and mathematics, while avoiding equations and technical jargon. He begins with perception psychology and the dichotomization instinct and then takes us through biological evolution, human language, and acausality illusions all the way to the climate crisis and the weaponization of the social media, and beyond that into the deepest parts of theoretical physics — demonstrating our unconscious mathematical abilities.He also has an important message of hope for the future. Contrary to popular belief, biological evolution has given us not only the nastiest, but also the most compassionate and cooperative parts of human nature. This insight comes from recognizing that biological evolution is more than a simple competition between selfish genes. Rather, he suggests, in some ways it is more like turbulent fluid flow, a complex process spanning a vast range of timescales.Professor McIntyre is a Fellow of the Royal Society of London (FRS) and has worked on problems as diverse as the Sun's magnetic interior, the Antarctic ozone hole, jet streams in the atmosphere, and the psychophysics of violin sound. He has long been interested in how different branches of science can better communicate with each other and with the public, harnessing aspects of neuroscience and psychology that point toward the deep 'lucidity principles' that underlie skilful communication.
Did you like Math or Science in school? Have you played games that stimulated your thought processes for Math and Science? Trying to be creative in your Math, Science or leadership class? Can leadership be taught? Is leadership an Art or a Science or Math? Seeking to impact your training program with creative games?A primer for leadership development, this book introduces Math and Science games with a review process component that can be used for leadership instruction. The book highlights key leadership principles which show that leaders must: Ask questions; Be disciplined; Create and see things differently; Develop resources; Engage in active listening; Make priorities; Multiply leaders; Problem solve; Set an example; Sacrifice; Search and explore; Strategize; Support diversity; Work in teams and collaborate.
Problems with the charts in your math kit? Want to discover the science of content-area charts? Wish you could make pre-fab social studies charts history? Then you're ready for Smarter Charts for Math, Science, and Social Studies! In the original Smarter Charts, Marjorie Martinelli and Kristi Mraz helped you turn classroom literacy charts into teaching powerhouses. Now they show how to turn up the instructional energy on content-area charts, too. "No matter what area of the curriculum, clear visuals, simple language, and constant reflection on charts are key to helping children gain independence and agency." You don't have to be a graphic designer or a subject-matter expert. In Smarter Charts for Math, Science, and Social Studies, Marjorie and Kristi share how they learned to make truly effective content-area charts with students. You'll turn complex ideas into kid-friendly visuals, help children internalize content processes, and even increase your instructional time. "The more we charted, the less repeating we did and the more teaching was possible." With dozens of examples from the content areas, including full-color photographs, the Chartchums reveal step by step how to create charts that show Routines, Genres and Concepts, Processes, Repertoires of Strategies, and Exemplars. Then their "Charts in Action" sections show how each type of chart builds engagement and improves independence as it gradually releases responsibility to learners. Don't be content with content-area charts made by someone else for generic students. Turn to Marjorie and Kristi for charts that make learning visible for the students in front of you, no matter what the subject. Check out these videos from the authors! Kristi Mraz and Marjorie Martinelli Show Us the Tools for Smarter Charts Chart tips from the ChartChums: Part 1 Drawing People Chart tips from the ChartChums: Part 2 Icons
Ten mini-books that use engaging and funny stories about a curious monkey to introduce children to simple math and science concepts. Introduces 50 essential sight words and includes ten STEM activity cards designed to help children learn by making and doing.
Technology is viewed as a powerful force both in and out of school and has long been linked with math and science. Although concepts and activities of this book apply to any grade, the primary focus is on the elementary and middle school levels. This book provides principles and practical strategies for promoting creative and innovative work in math, science, and technology. The authors pay close attention to the social nature of learning and how collaboration can spark student interest in open-ended problem-solving. Shining a light on mathematic, scientific, and technological processes gives everyone more control over what is going on around them and increases understanding of how things work.
The three most basic shapes -- squares, triangles and circles -- are all around us, from the natural world to the one we've engineered. Full of fascinating facts about these shapes and their 3D counterparts, Shapes in Math, Science and Nature introduces young readers to the basics of geometry and reveals its applications at home, school and everywhere in between. Puzzles and activities add to the fun factor.
This excellent, innovative reference offers a wealth of useful information and a solid background in the fundamentals of aerodynamics. Fluid mechanics, constant density inviscid flow, singular perturbation problems, viscosity, thin-wing and slender body theories, drag minimalization, and other essentials are addressed in a lively, literate manner and accompanied by diagrams.