Using Math In Science

This book demonstrates how science and math go hand in hand. Math helps chemists and biologists discover cures for diseases, and it allows physicists to predict a car or rocket?s movements. More accessible to students today is how math helps scientists design the computers and cell phones that are so commonplace. Readers will learn about this and more while answering the question, "What good is math in the real world?" Readers will learn how to apply mathematical principles to their daily lives and build a career from the parts that are most interesting to them.

A look at the importance of math and the many ways it is used in the study of science.

This book reviews math topics relevant to non-mathematics students and scientists, but which they may not have seen or studied for a while. These math issues can range from reading mathematical symbols, to using complex numbers, dealing with equations involved in calculating medication equivalents, the General Linear Model (GLM) used in e.g. neuroimaging analysis, finding the minimum of a function, independent component analysis, or filtering approaches. Almost every student or scientist, will at some point run into mathematical formulas or ideas in scientific papers that may be hard to understand, given that formal math education may be some years ago. In this book we will explain the theory behind many of these mathematical ideas and expressions and provide readers with the tools to better understand them. We will revisit high school mathematics and extend and relate this to the mathematics you need to understand the math you may encounter in the course of your research. This book will help you understand the math and formulas in the scientific papers you read. To achieve this goal, each chapter mixes theory with practical pen-and-paper exercises such that you (re)gain experience with solving math problems yourself. Mnemonics will be taught whenever possible. To clarify the math and help readers apply it, each chapter provides real-world and scientific examples. In this new edition, two new chapters covering statistics and differential equations have been added, which have been workshopped in the 'authors' popular lecture series in order to maximize the benefit for readers.

"Much of the content in this book is adapted from Teaching Young Children (TYC), NAEYC's award-winning magazine ..."--Page [104]

First released in the Spring of 1999, How People Learn has been expanded to show how the theories and insights from the original book can translate into actions and practice, now making a real connection between classroom activities and learning behavior. This edition includes far-reaching suggestions for research that could increase the impact that classroom teaching has on actual learning. Like the original edition, this book offers exciting new research about the mind and the brain that provides answers to a number of compelling questions. When do infants begin to learn? How do experts learn and how is this different from non-experts? What can teachers and schools do-with curricula, classroom settings, and teaching methods--to help children learn most effectively? New evidence from many branches of science has significantly added to our understanding of what it means to know, from the neural processes that occur during learning to the influence of culture on what people see and absorb. How People Learn examines these findings and their implications for what we teach, how we teach it, and how we assess what our children learn. The book uses exemplary teaching to illustrate how approaches based on what we now know result in in-depth learning. This new knowledge calls into question concepts and practices firmly entrenched in our current education system. Topics include: How learning actually changes the physical structure of the brain. How existing knowledge affects what people notice and how they learn. What the thought processes of experts tell us about how to teach. The amazing learning potential of infants. The relationship of classroom learning and everyday settings of community and workplace. Learning needs and opportunities for teachers. A realistic look at the role of technology in education.

Interest in Mathematics and Science Learning, edited by K. Ann Renninger, Martin Nieswandt, and Suzanne Hidi, is the first volume to assemble findings on the role of interest in mathematics and science learning. As the contributors illuminate across the volume's 22 chapters, interest provides a critical bridge between cognition and affect in learning and development. This volume will be useful to educators, researchers, and policy makers, especially those whose focus is mathematics, science, and technology education.

This book's 50-plus lessons-each based on a different picture book or story-will help classroom teachers build a foundation for teaching math, science, and social studies concepts to their students. Each lesson uses children's literature to make challenging, abstract concepts relevant to children's lives, inviting them to learn these concepts while responding to a story's illustrations, theme, characters, and plot. The lessons also demonstrate how teachers can use children's literature to meet national standards in math, science, and social studies. Chapters 1 through 5 set the stage for using picture books, discussing the effective, imaginative integration of literature into the classroom. Teachers will learn to create an environment that ensures that when children and books come together, the experience is enjoyable and thought provoking. Chapters 6 through 9 provide individual lessons, by grade level, with detailed activities based on specific books.