This book develops the mathematical tools essential for students in the life sciences to describe interacting systems and predict their behavior. From predator-prey populations in an ecosystem, to hormone regulation within the body, the natural world abounds in dynamical systems that affect us profoundly. Complex feedback relations and counter-intuitive responses are common in nature; this book develops the quantitative skills needed to explore these interactions. Differential equations are the natural mathematical tool for quantifying change, and are the driving force throughout this book. The use of Euler’s method makes nonlinear examples tractable and accessible to a broad spectrum of early-stage undergraduates, thus providing a practical alternative to the procedural approach of a traditional Calculus curriculum. Tools are developed within numerous, relevant examples, with an emphasis on the construction, evaluation, and interpretation of mathematical models throughout. Encountering these concepts in context, students learn not only quantitative techniques, but how to bridge between biological and mathematical ways of thinking. Examples range broadly, exploring the dynamics of neurons and the immune system, through to population dynamics and the Google PageRank algorithm. Each scenario relies only on an interest in the natural world; no biological expertise is assumed of student or instructor. Building on a single prerequisite of Precalculus, the book suits a two-quarter sequence for first or second year undergraduates, and meets the mathematical requirements of medical school entry. The later material provides opportunities for more advanced students in both mathematics and life sciences to revisit theoretical knowledge in a rich, real-world framework. In all cases, the focus is clear: how does the math help us understand the science?
A valuable guide on creativity and critical thinking to improve reasoning and decision-making skills Critical thinking skills are essential in virtually any field of study or practice where individuals need to communicate ideas, make decisions, and analyze and solve problems. An Introduction to Critical Thinking and Creativity: Think More, Think Better outlines the necessary tools for readers to become critical as well as creative thinkers. By gaining a practical and solid foundation in the basic principles that underlie critical thinking and creativity, readers will become equipped to think in a more systematic, logical, and imaginative manner. Creativity is needed to generate new ideas to solve problems, and critical thinking evaluates and improves an idea. These concepts are uniquely introduced as a unified whole due to their dependence on each other. Each chapter introduces relevant theories in conjunction with real-life examples and findings from cognitive science and psychology to illustrate how the theories can be applied in numerous fields and careers. An emphasis on how theoretical principles of reasoning can be practical and useful in everyday life is featured, and special sections on presentation techniques, the analysis of meaning, decision-making, and reasoning about personal and moral values are also highlighted. All chapters conclude with a set of exercises, and detailed solutions are provided at the end of the book. A companion website features online tutorials that further explore topics including meaning analysis, argument analysis, logic, statistics, and strategic thinking, along with additional exercises and multimedia resources for continued study. An Introduction to Critical Thinking and Creativity is an excellent book for courses on critical thinking and logic at the undergraduate and graduate levels. The book also serves as a self-contained study guide for readers interested in the topics of critical thinking and creativity as a unified whole.
Considered by many to be mentally retarded, a brilliant, impatient fifth-grader with cerebral palsy discovers a technological device that will allow her to speak for the first time.
Building a Foundation with an Integrated Learning Experience. At its core, Introductory Chemistry is the result of a unique author vision to develop a robust combination of text and digital resources that motivate and build student confidence while providing a foundation for their success. Kevin Revell knows and understands students today. His thoughtful narrative/video/interactive program works seamlessly to provide the most accessible and engaging set of resources for introductory chemistry available. The same author voice is mirrored in all print and digital content, allowing students flexibility and ensuring a fully supported learning experience--whether using a book or going completely digital! Building a Foundation for Retention and Success. Introductory Chemistry introduces students to chemistry with an exceptionally engaging writing style that not only promotes understanding but uses devices like storytelling and analogies to help students learn at a deeper level and retain concepts. Interactive activities and online tutorials offer students targeted, hands-on practice with the most difficult concepts in the course and provide a foundation for conceptual understanding and problem solving skills. Moving from comprehension to retention, students solidify their understanding of material to the point where they just "know it." Building a Foundation... Your Way! Written and developed as a flexible print and digital resource, Introductory Chemistry is designed to serve as a teaching and learning tool to meet instructors and students where they are today and provide support and tools tailored to various learning and teaching styles. Introductory Chemistry comes with a full suite of traditional textbook and lecture resources to support a traditional lecture-based course, as well as resources that make the transition to a more active classroom easier for instructors interested in doing so. Instructors who already subscribe to active learning techniques will also find tools to complement their efforts. Students can choose to access the content in the learning environment that best fits their needs: the printed narrative and pedagogy, the eBook and interactive digital tools, the video lecture modules, or a combination.
Using hundreds of original anatomical drawings, this book considers both the structure and the function of the human eye and how they are related.
Preface -- Setting the meeting stage -- So many meetings and so much frustration -- Get rid of meetings? no, solve meetings through science -- Evidence-based strategies for leaders -- The image in the mirror is likely wrong -- Meet for 48 minutes -- Agendas are a hollow crutch -- The bigger, the badder -- Don't get too comfortable in that chair -- Deflate negative energy from the start -- No more talking! -- The folly of the remote call-in meeting -- Putting it all together -- Epilogue: trying to get ahead of the science' using science -- Tool: meeting quality self-assessment -- Tool: sample engagement survey and 360 feedback questions on meetings -- Tool: good meeting facilitation checklist -- Tool: huddle implementation checklist -- Tool: agenda template -- Tool: guide to taking good meeting minutes/notes -- Tool: expectations assessment -- Acknowledgments -- References -- Index
Clickers (Classroom Response Systems) have become one of the most widely adopted new classroom teaching technologies. This book provides information on how to successfully teach using clicker technology, looking at: the benefits of using clickers; the clicker experience at other schools; research on clicker usage; and more.