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Use these 300 reproducible bookmarks of fascinating facts, concepts, trivia, inventions, and discoveries to spark student learning. They cover all major disciplines of physical, earth, and life sciences, ready to copy, cut out, and give to your students.
An introduction to category theory as a rigorous, flexible, and coherent modeling language that can be used across the sciences. Category theory was invented in the 1940s to unify and synthesize different areas in mathematics, and it has proven remarkably successful in enabling powerful communication between disparate fields and subfields within mathematics. This book shows that category theory can be useful outside of mathematics as a rigorous, flexible, and coherent modeling language throughout the sciences. Information is inherently dynamic; the same ideas can be organized and reorganized in countless ways, and the ability to translate between such organizational structures is becoming increasingly important in the sciences. Category theory offers a unifying framework for information modeling that can facilitate the translation of knowledge between disciplines. Written in an engaging and straightforward style, and assuming little background in mathematics, the book is rigorous but accessible to non-mathematicians. Using databases as an entry to category theory, it begins with sets and functions, then introduces the reader to notions that are fundamental in mathematics: monoids, groups, orders, and graphs—categories in disguise. After explaining the “big three” concepts of category theory—categories, functors, and natural transformations—the book covers other topics, including limits, colimits, functor categories, sheaves, monads, and operads. The book explains category theory by examples and exercises rather than focusing on theorems and proofs. It includes more than 300 exercises, with solutions. Category Theory for the Sciences is intended to create a bridge between the vast array of mathematical concepts used by mathematicians and the models and frameworks of such scientific disciplines as computation, neuroscience, and physics.
A brilliant tour of mathematical thought and a guide to becoming a better thinker, How Not to Be Wrong shows that math is not just a long list of rules to be learned and carried out by rote. Math touches everything we do; It's what makes the world make sense. Using the mathematician's methods and hard-won insights-minus the jargon-professor and popular columnist Jordan Ellenberg guides general readers through his ideas with rigor and lively irreverence, infusing everything from election results to baseball to the existence of God and the psychology of slime molds with a heightened sense of clarity and wonder. Armed with the tools of mathematics, we can see the hidden structures beneath the messy and chaotic surface of our daily lives. How Not to Be Wrong shows us how--Publisher's description.
Everything you need to create exciting thematic science units can be found in these handy guides. Developed for educators who want to take an integrated approach, these teaching kits contain resource lists, reading selections, and activities that can be easily pulled together for units on virtually any science topic. Arranged by subject, each book lists key scientific concepts for primary, intermediate, and upper level learners and links them to specific chapters where resources for teaching those concepts appear. Chapters identify and describe comprehensive teaching resources (nonfiction) and related fiction reading selections, then detail hands-on science and extension activities that help students learn the scientific method and build learning across the curriculum. A final section helps you locate helpful experiment books and appropriate journals, Web sites, agencies, and related organizations.
Everything you need to create exciting thematic science units can be found in these handy guides. Developed for educators who want to take an integrated approach, these teaching kits contain resource lists, reading selections, and activities that can be easily pulled together for units on virtually any science topic. Arranged by subject, each book lists key scientific concepts for primary, intermediate, and upper level learners and links them to specific chapters where resources for teaching those concepts appear. Chapters identify and describe comprehensive teaching resources (nonfiction) and related fiction reading selections, then detail hands-on science and extension activities that help students learn the scientific method and build learning across the curriculum. A final section helps you locate helpful experiment books and appropriate journals, Web sites, agencies, and related organizations.
Everything you need to create exciting thematic science units can be found in these handy guides. Developed for educators who want to take an integrated approach, these teaching kits contain resource lists, reading selections, and activities that can be easily pulled together for units on virtually any science topic. Arranged by subject, each book lists key scientific concepts for primary, intermediate, and upper level learners and links them to specific chapters where resources for teaching those concepts appear. Chapters identify and describe comprehensive teaching resources (nonfiction) and related fiction reading selections, then detail hands-on science and extension activities that help students learn the scientific method and build learning across the curriculum. A final section helps you locate helpful experiment books and appropriate journals, Web sites, agencies, and related organizations.
Why did ordering an omelet cost one mathematician his life? Answers to this and other questions are found in this exciting new resource that shows your students how 60 mathematicians discovered mathematical solutions through everyday situations. These lessons are easily incorporated into the present curriculum as an introduction to a math concept, a homework piece, or an extra challenge. Teacher notes and suggestions for the classroom are followed by extension problems and additional background material. This is a great way to spark student interest in math. Grades 5-12.
Use these 300 reproducible bookmarks of fascinating facts, concepts, trivia, inventions, and discoveries to spark student learning. They cover all major disciplines of physical, earth, and life sciences, ready to copy, cut out, and give to your students.
Mr. Wiggle describes, in rhyming text and illustrations, the ways careless readers hurt their books.
What has math got to do with my life? If you've ever heard that protest from your students, this book can provide the answer. Presenting mathematics in the context of social issues makes it relevant and helps students learn how to apply math skills appropriately. Four sections-race and gender, poverty and wealth, the environment, and teen issues-have lessons based on themes such as estimating, probability, negative numbers, and multiplying decimals. Discussion questions, library research activities and guides, and reproducible homework assignments reinforce learning. With its concrete approach, this book allows students to see mathematics as a powerful tool for understanding the world. Working through the activities will motivate them and help them grow as mathematicians and as citizens.