Thinking About Equations
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Thinking About Equations
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Author : Matt A. Bernstein
language : en
Publisher: John Wiley & Sons
Release Date : 2011-09-20
Thinking About Equations written by Matt A. Bernstein and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-09-20 with Mathematics categories.
An accessible guide to developing intuition and skills for solving mathematical problems in the physical sciences and engineering Equations play a central role in problem solving across various fields of study. Understanding what an equation means is an essential step toward forming an effective strategy to solve it, and it also lays the foundation for a more successful and fulfilling work experience. Thinking About Equations provides an accessible guide to developing an intuitive understanding of mathematical methods and, at the same time, presents a number of practical mathematical tools for successfully solving problems that arise in engineering and the physical sciences. Equations form the basis for nearly all numerical solutions, and the authors illustrate how a firm understanding of problem solving can lead to improved strategies for computational approaches. Eight succinct chapters provide thorough topical coverage, including: Approximation and estimation Isolating important variables Generalization and special cases Dimensional analysis and scaling Pictorial methods and graphical solutions Symmetry to simplify equations Each chapter contains a general discussion that is integrated with worked-out problems from various fields of study, including physics, engineering, applied mathematics, and physical chemistry. These examples illustrate the mathematical concepts and techniques that are frequently encountered when solving problems. To accelerate learning, the worked example problems are grouped by the equation-related concepts that they illustrate as opposed to subfields within science and mathematics, as in conventional treatments. In addition, each problem is accompanied by a comprehensive solution, explanation, and commentary, and numerous exercises at the end of each chapter provide an opportunity to test comprehension. Requiring only a working knowledge of basic calculus and introductory physics, Thinking About Equations is an excellent supplement for courses in engineering and the physical sciences at the upper-undergraduate and graduate levels. It is also a valuable reference for researchers, practitioners, and educators in all branches of engineering, physics, chemistry, biophysics, and other related fields who encounter mathematical problems in their day-to-day work.
The Ten Equations That Rule The World
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Author : David Sumpter
language : en
Publisher: Flatiron Books
Release Date : 2021-08-24
The Ten Equations That Rule The World written by David Sumpter and has been published by Flatiron Books this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-08-24 with Business & Economics categories.
Is there a secret formula for getting rich? For going viral? For deciding how long to stick with your current job, Netflix series, or even relationship? This book is all about the equations that make our world go round. Ten of them, in fact. They are integral to everything from investment banking to betting companies and social media giants. And they can help you to increase your chance of success, guard against financial loss, live more healthfully, and see through scaremongering. They are known by only the privileged few - until now. With wit and clarity, mathematician David Sumpter shows that it isn't the technical details that make these formulas so successful. It is the way they allow mathematicians to view problems from a different angle - a way of seeing the world that anyone can learn. Empowering and illuminating, The Ten Equations shows how math really can change your life.
How Not To Be Wrong
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Author : Jordan Ellenberg
language : en
Publisher: Penguin Press
Release Date : 2014-05-29
How Not To Be Wrong written by Jordan Ellenberg and has been published by Penguin Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-29 with Mathematics categories.
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.
Teaching And Learning Algebraic Thinking With 5 To 12 Year Olds
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Author : Carolyn Kieran
language : en
Publisher: Springer
Release Date : 2017-12-04
Teaching And Learning Algebraic Thinking With 5 To 12 Year Olds written by Carolyn Kieran and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-12-04 with Education categories.
This book highlights new developments in the teaching and learning of algebraic thinking with 5- to 12-year-olds. Based on empirical findings gathered in several countries on five continents, it provides a wealth of best practices for teaching early algebra. Building on the work of the ICME-13 (International Congress on Mathematical Education) Topic Study Group 10 on Early Algebra, well-known authors such as Luis Radford, John Mason, Maria Blanton, Deborah Schifter, and Max Stephens, as well as younger scholars from Asia, Europe, South Africa, the Americas, Australia and New Zealand, present novel theoretical perspectives and their latest findings. The book is divided into three parts that focus on (i) epistemological/mathematical aspects of algebraic thinking, (ii) learning, and (iii) teaching and teacher development. Some of the main threads running through the book are the various ways in which structures can express themselves in children’s developing algebraic thinking, the roles of generalization and natural language, and the emergence of symbolism. Presenting vital new data from international contexts, the book provides additional support for the position that essential ways of thinking algebraically need to be intentionally fostered in instruction from the earliest grades.
Thnking Mathematically
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Author : J Mason
language : en
Publisher: Pearson Higher Ed
Release Date : 2011-01-10
Thnking Mathematically written by J Mason and has been published by Pearson Higher Ed this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-01-10 with Mathematics categories.
Thinking Mathematically is perfect for anyone who wants to develop their powers to think mathematically, whether at school, at university or just out of interest. This book is invaluable for anyone who wishes to promote mathematical thinking in others or for anyone who has always wondered what lies at the core of mathematics. Thinking Mathematically reveals the processes at the heart of mathematics and demonstrates how to encourage and develop them. Extremely practical, it involves the reader in questions so that subsequent discussions speak to immediate experience.
Emotional Equations
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Author : Chip Conley
language : en
Publisher: Simon and Schuster
Release Date : 2012-01-10
Emotional Equations written by Chip Conley and has been published by Simon and Schuster this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-01-10 with Self-Help categories.
“An invaluable operating manual,” says Tony Hsieh, Zappos CEO and author of Delivering Happiness. Using brilliantly simple logic that illuminates the universal truths in common emotional challenges, popular motivational speaker and bestselling author Chip Conley has written “a fresh, original guide to an authentic and fulfilling life.”* With a foreword by Tony Hsieh, CEO of Zappos and author of Delivering Happiness When Chip Conley, dynamic author of the bestselling Peak, suffered a series of devastating personal and professional setbacks, he began using what he came to call “Emotional Equations” (such as Joy = Love - Fear) to help him focus on the variables in life that he could handle, rather than dwelling on the parts he couldn’t, such as the bad economy, death, and taxes. Using brilliantly simple logic that illuminates the universal truths in common emotional challenges, Emotional Equations offers a way to identify the elements in our lives that we can change, those we can’t, and how to better understand our emotions so they can help us . . . rather than hurt us. Equations like “Despair = Suffering - Meaning” and “Happiness = Wanting What You Have ÷ Having What You Want” have been reviewed for mathematical and psychological accuracy by experts. Now Conley tells his own comeback story and those of other resilient people and inspiring role models who have worked through emotional equations in their own lives. Emotional Equations arms you with practical strategies for turbulent times.
Handbook Of International Research In Mathematics Education
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Author : Lyn D. English
language : en
Publisher: Routledge
Release Date : 2010-04-02
Handbook Of International Research In Mathematics Education written by Lyn D. English and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-04-02 with Education categories.
This book brings together mathematics education research that makes a difference in both theory and practice - research that anticipates problems and needed knowledge before they become impediments to progress.
How Students Think When Doing Algebra
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Author : Steve Rhine
language : en
Publisher: IAP
Release Date : 2018-11-01
How Students Think When Doing Algebra written by Steve Rhine and has been published by IAP this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-11-01 with Education categories.
Algebra is the gateway to college and careers, yet it functions as the eye of the needle because of low pass rates for the middle school/high school course and students’ struggles to understand. We have forty years of research that discusses the ways students think and their cognitive challenges as they engage with algebra. This book is a response to the National Council of Teachers of Mathematics’ (NCTM) call to better link research and practice by capturing what we have learned about students’ algebraic thinking in a way that is usable by teachers as they prepare lessons or reflect on their experiences in the classroom. Through a Fund for the Improvement of Post-Secondary Education (FIPSE) grant, 17 teachers and mathematics educators read through the past 40 years of research on students’ algebraic thinking to capture what might be useful information for teachers to know—over 1000 articles altogether. The resulting five domains addressed in the book (Variables & Expressions, Algebraic Relations, Analysis of Change, Patterns & Functions, and Modeling & Word Problems) are closely tied to CCSS topics. Over time, veteran math teachers develop extensive knowledge of how students engage with algebraic concepts—their misconceptions, ways of thinking, and when and how they are challenged to understand—and use that knowledge to anticipate students’ struggles with particular lessons and plan accordingly. Veteran teachers learn to evaluate whether an incorrect response is a simple error or the symptom of a faulty or naïve understanding of a concept. Novice teachers, on the other hand, lack the experience to anticipate important moments in the learning of their students. They often struggle to make sense of what students say in the classroom and determine whether the response is useful or can further discussion (Leatham, Stockero, Peterson, & Van Zoest 2011; Peterson & Leatham, 2009). The purpose of this book is to accelerate early career teachers’ “experience” with how students think when doing algebra in middle or high school as well as to supplement veteran teachers’ knowledge of content and students. The research that this book is based upon can provide teachers with insight into the nature of a student’s struggles with particular algebraic ideas—to help teachers identify patterns that imply underlying thinking. Our book, How Students Think When Doing Algebra, is not intended to be a “how to” book for teachers. Instead, it is intended to orient new teachers to the ways students think and be a book that teachers at all points in their career continually pull of the shelf when they wonder, “how might my students struggle with this algebraic concept I am about to teach?” The primary audience for this book is early career mathematics teachers who don’t have extensive experience working with students engaged in mathematics. However, the book can also be useful to veteran teachers to supplement their knowledge and is an ideal resource for mathematics educators who are preparing preservice teachers.
Operations And Algebraic Thinking Leveled Problems Multiplying And Equal Groups
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Author : Linda Dacey, Ed.D.
language : en
Publisher: Teacher Created Materials
Release Date : 2014-07-01
Operations And Algebraic Thinking Leveled Problems Multiplying And Equal Groups written by Linda Dacey, Ed.D. and has been published by Teacher Created Materials this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-07-01 with categories.
Differentiate problem solving in your classroom using effective, research-based strategies. This lesson requires students to solve problems related to multiplication and equal groups. The problem-solving mini-lesson guides teachers in how to teach differentiated lessons. The student activity sheet features a problem tiered at three levels.
Leveled Texts For Mathematics Algebra And Algebraic Thinking
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Author : Lori Barker
language : en
Publisher: Teacher Created Materials
Release Date : 2011-06-01
Leveled Texts For Mathematics Algebra And Algebraic Thinking written by Lori Barker and has been published by Teacher Created Materials this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-06-01 with Education categories.
With a focus on algebra, a guide to using leveled texts to differentiate instruction in mathematics offers fifteen different topics with high-interest text written at four different reading levels, accompanied by matching visuals and practice problems.