A pioneering educator, Mighton realized several years ago that children were failing math because they had come to believe they were not good at it. Once students lost confidence in their math skills and fell behind, it was very difficult for them to catch up, particularly in the classroom. He knew this from experience, because he had once failed math himself.
Using the premise that anyone can learn math and anyone can teach it, Mighton's unique teaching method isolates and describes concepts so clearly that students of all skill levels can understand them. Rather than fearing failure, students learn from and build on their own successes and gain the confidence and self-esteem they need to be inspired to learn. Mighton's methods, set forth in The Myth of Ability and implemented in hundreds of Canadian schools, have had astonishing results: Not only have they helped children overcome their fear of math, but the resulting confidence has led to improved reading and motor skills as well.
The Myth of Ability will transform the way teachers and parents look at the teaching of mathematics and, by extension, the entire process of education.
A critical read for teachers and parents who want to improve children’s mathematics learning, What’s Math Got to Do with It? is “an inspiring resource” (Publishers Weekly). Featuring all the important advice and suggestions in the original edition of What’s Math Got to Do with It?, this revised edition is now updated with new research on the brain and mathematics that is revolutionizing scientists’ understanding of learning and potential.
As always Jo Boaler presents research findings through practical ideas that can be used in classrooms and homes. The new What’s Math Got to Do with It? prepares teachers and parents for the Common Core, shares Boaler’s work on ways to teach mathematics for a “growth mindset,” and includes a range of advice to inspire teachers and parents to give their students the best mathematical experience possible.
The anniversary edition of this bestselling volume includes the original studies that compare U.S and Chinese elementary school teachers’ mathematical understanding and offers a powerful framework for grasping the mathematical content necessary to understand and develop the thinking of school children. Highlighting notable changes in the field and the author’s work, this new edition includes an updated preface, introduction, and key journal articles that frame and contextualize this seminal work.
Mathematical Mindsets provides practical strategies and activities to help teachers and parents show all children, even those who are convinced that they are bad at math, that they can enjoy and succeed in math. Jo Boaler—Stanford researcher, professor of math education, and expert on math learning—has studied why students don't like math and often fail in math classes. She's followed thousands of students through middle and high schools to study how they learn and to find the most effective ways to unleash the math potential in all students.
There is a clear gap between what research has shown to work in teaching math and what happens in schools and at home. This book bridges that gap by turning research findings into practical activities and advice. Boaler translates Carol Dweck's concept of 'mindset' into math teaching and parenting strategies, showing how students can go from self-doubt to strong self-confidence, which is so important to math learning. Boaler reveals the steps that must be taken by schools and parents to improve math education for all. Mathematical Mindsets:Explains how the brain processes mathematics learningReveals how to turn mistakes and struggles into valuable learning experiencesProvides examples of rich mathematical activities to replace rote learningExplains ways to give students a positive math mindsetGives examples of how assessment and grading policies need to change to support real understanding
Scores of students hate and fear math, so they end up leaving school without an understanding of basic mathematical concepts. Their evasion and departure hinders math-related pathways and STEM career opportunities. Research has shown very clear methods to change this phenomena, but the information has been confined to research journals—until now. Mathematical Mindsets provides a proven, practical roadmap to mathematics success for any student at any age.
SHE’LL TRY TO SOLVE FIVE QUESTIONS IN THREE HOURS, FOR ONE IMPROBABLE DREAM.
THE DREAM OF REPRESENTING HER COUNTRY, AND BECOMING A MATH OLYMPIAN.
As a small-town girl in Nova Scotia bullied for liking numbers more than boys, and lacking the encouragement of her unsupportive single mother who frowns at her daughter’s unrealistic ambition, Bethany's road to the International Math Olympiad has been marked by numerous challenges.
Through persistence, perseverance, and the support of innovative mentors who inspire her with a love of learning, Bethany confronts these challenges and develops the creativity and confidence to reach her potential.
In training to become a world-champion "mathlete", Bethany discovers the heart of mathematics – a subject that’s not about memorizing formulas, but rather about problem-solving and detecting patterns to uncover truth, as well as learning how to apply the deep and unexpected connections of mathematics to every aspect of her life, including athletics, spirituality, and environmental sustainability.
As Bethany reflects on her long journey and envisions her exciting future, she realizes that she has shattered the misguided stereotype that only boys can excel in math, and discovers a sense of purpose that through mathematics, she can and she will make an extraordinary contribution to society.
Each play includes speakers for three different grade levels of readability: 4th grade and lower, 5th-6th grade, and 7th-8th grade. Concepts are presented so that they are fluid among these grade levels. Taking a cross-curricular approach, the scripts reinforce key math concepts and standards-based math skills taught in the middle grades, such as order of operations, fractions, inequalities, positive and negative numbers, and graphing on a coordinate plane. Each play includes extended activities that will help the teacher incorporate the math concept into the classroom.
These stories challenge many myths, including the notions that mathematics is a solitary pursuit and a "young man's game," the belief that mathematicians are emotionally different from other people, and even the idea that to be a great mathematician it helps to be a little bit crazy. Reuben Hersh and Vera John-Steiner tell stories of lives in math from their very beginnings through old age, including accounts of teaching and mentoring, friendships and rivalries, love affairs and marriages, and the experiences of women and minorities in a field that has traditionally been unfriendly to both. Included here are also stories of people for whom mathematics has been an immense solace during times of crisis, war, and even imprisonment--as well as of those rare individuals driven to insanity and even murder by an obsession with math.
This is a book for anyone who wants to understand why the most rational of human endeavors is at the same time one of the most emotional.
Now published as a portable, learning, reference and subject revision guide, students, teachers and hobbyists can have their own low-cost portable version as an eBook.
For easy reading, a comprehensive list of hundreds of topics each with a graphic image and explanatory text act as a useful exam revision reminder or reference tool for professionals.
The accompanying software which brings all these images to life can be downloaded at no extra charge thereby providing an additional computer based interactive learning resource as an easy and enjoyable way to study.
Unlock the accompanying software with your eBook receipt.
Chapters (250 topics): - Mathematics Tools, Number Systems, Number Conversion, Number Types, Compound Measures, Roots, Angles and Parallels, Triangle Ratios, Triangle Angles, Percentages, Ratios, Fractions, Vectors, Geometry, Circle Angles, Area, Surface Area and Symmetry, Volume, Laws, Algebra 0., Algebra 1., Algebra 2., Mathematical Rules, Powers and Indices, Simplifying, Linear Equations, Graphing, Slope and Translation, Curves and Angle Conversion, Personal Finance, Data Analysis, Binary Numbers, Binary Arithmetic, Additional Notes.
With the common core math curriculum being adopted byforty-three states, it is imperative that students learn to masterthose key math standards. Teaching the Common Core MathStandards with Hands-On Activities, Grades 3-5 is the only bookcurrently available that provides activities directly correlated tothe new core curriculum for math. This text assists teachers withinstructing the material and allows students to practice theconcepts through use of the grade-appropriate activitiesincluded.
Students learn in different ways, and Teaching the CommonCore Math Standards with Hands-On Activities, Grades 3-5acknowledges that fact through the inclusion of suggestions forvariations and extensions of each concept to be used for studentswith different abilities and learning styles. The activities andlessons are as diverse as the students in your classroom. InsideTeaching with Common Core Math Standards With Hands-OnActivities Grades 3-5, you will find:Clear instructions to help you cover the skills and conceptsfor the new math core curriculumEngaging activities that enforce each core math standard foryour studentsVarious suggestions for ways to instruct the concepts to reachthe diverse learning styles of your studentsComplete coverage of mathematical calculations, mathematicalreasoning, and problem-solving strategies appropriate for grades3-5
Teaching the Common Core Math Standards with Hands-OnActivities, Grades 3-5 prepares students to achieve success inthe important area of mathematics. As your students gain anunderstanding of the common core standards, they will buildconfidence in their ability to grasp and manipulate mathematicalconcepts as they move forward to the next level.
Math is a difficult and abstract subject for many students, yetteachers need to make sure their students comprehend basic mathconcepts. This engaging activity book is a resource teachers canuse to give students concrete understanding of the math behind thequestions on most standardized tests, and includes information thatwill give students a firm grounding to work with more advanced mathconcepts.Contains over 100 activities that address topics like numbersense, geometry, computation, problem solving, and logicalthinking.Includes projects and activities that are correlated toNational Math Education StandardsActivities are presented in order of difficulty and addressdifferent learning styles
Math Wise! is a key resource for teachers who want toteach their students the fundamentals that drive math problems.
Hollywood actress and math whiz Danica McKellar has completely shattered the “math nerd” stereotype. For years, she’s been showing girls how to feel confident and ace their math classes – with style! With Girls Get Curves, she applies her winning techniques to high school geometry, giving readers the tools they need to feel great and totally “get” everything from congruent triangles to theorems, and more. Inside you’ll find:
· Time-saving tips and tricks for homework and tests
· Illuminating practice problems (and proofs!) with detailed solutions
· Totally relatable real-world examples
· True stories from Danica’s own life as an actress and math student
· A Troubleshooting Guide, for getting unstuck during even the trickiest proofs!
With Danica as a coach, girls everywhere can stop hiding from their homework and watch their scores rise!
Drawing upon the interdisciplinary nature of cognitive science, this book presents a broadened perspective on mathematics and mathematical reasoning. It represents a move away from the traditional notion of reasoning as "abstract" and "disembodied", to the contemporary view that it is "embodied" and "imaginative." From this perspective, mathematical reasoning involves reasoning with structures that emerge from our bodily experiences as we interact with the environment; these structures extend beyond finitary propositional representations. Mathematical reasoning is imaginative in the sense that it utilizes a number of powerful, illuminating devices that structure these concrete experiences and transform them into models for abstract thought. These "thinking tools"--analogy, metaphor, metonymy, and imagery--play an important role in mathematical reasoning, as the chapters in this book demonstrate, yet their potential for enhancing learning in the domain has received little recognition.
This book is an attempt to fill this void. Drawing upon backgrounds in mathematics education, educational psychology, philosophy, linguistics, and cognitive science, the chapter authors provide a rich and comprehensive analysis of mathematical reasoning. New and exciting perspectives are presented on the nature of mathematics (e.g., "mind-based mathematics"), on the array of powerful cognitive tools for reasoning (e.g., "analogy and metaphor"), and on the different ways these tools can facilitate mathematical reasoning. Examples are drawn from the reasoning of the preschool child to that of the adult learner.
The Common Core State Standards for Mathematics challenges students to become mathematical thinkers, not just mathematical “doers.” This resource will be invaluable for pre- and inservice teachers as they prepare themselves to understand and teach algebra with a deep level of understanding.
“Uncomplicating Algebra is an excellent resource for teachers responsible for the mathematical education of K–8 students. It is also a valuable tool for the training of preservice teachers of elementary and middle school mathematics.”
—Carole Greenes, associate vice provost for STEM education, director of the Practice Research and Innovation in Mathematics Education (PRIME) Center, professor of mathematics education, Arizona State University
“The current climate in North America places a major emphasis on standards, including the Common Core State Standards for Mathematics in the U.S. In many cases, teachers are being asked to teach content with which they themselves struggle. In this book, Dr. Small masterfully breaks down the big ideas of algebraic thinking to assist teachers, math coaches, and preservice teachers—helping them to deepen their own understanding of the mathematics they teach. She describes common error patterns and examines algebraic reasoning from a developmental viewpoint, connecting the dots from kindergarten through grade 8. The book is clearly written, loaded with specific examples, and very timely. I recommend it strongly as a ‘must-read’ for all who are seeking to broaden their understanding of algebra and how to effectively teach this important content area to children.”
—Daniel J. Brahier, director, Science and Math Education in ACTION, professor of mathematics education, School of Teaching and Learning, Bowling Green State University
This volume contains the proceedings of Work Group 4: Theories of Mathematics, a subgroup of the Seventh International Congress on Mathematical Education held at Université Laval in Québec. Bringing together multiple perspectives on mathematical thinking, this volume presents elaborations on principles reflecting the progress made in the field over the past 20 years and represents starting points for understanding mathematical learning today. This volume will be of importance to educational researchers, math educators, graduate students of mathematical learning, and anyone interested in the enterprise of improving mathematical learning worldwide.
Many students struggle with fractions and must understand them before learning higher-level math. Veteran educator David B. Spangler describes powerful diagnostic methods for error analysis that pinpoint specific student misconceptions and supplies specific intervention strategies and activities for each error pattern. Aligned with NCTM and Common Core State Standards, the research-based, targeted interventions for each error pattern promoted teaching for conceptual understanding. Practical materials include:Reproducibles for diagnostic tests Practice pages for exercises keyed to the diagnostic tests and error patterns Teacher resources for hands-on activities, game sheets and pieces, and more
Solving Word Problems is one of the biggest hurdle that kids face in Algebra. A bit of imagination is required to understand and solve these type of problems along with the calculations.This book breaks simple word problems using graphics thus helping the kids to visualize and understand the word problems. It develops the imaginative thinking required to solve these problems from an early level. This will help the kids to solve difficult problems as they will learn to imagine, analyze and break the problem into small parts which gives a better understanding on how to solve these type of problems.
From the Trade Paperback edition.
• enable accurate, complete and independent self education
• holistic question answering techniques
• exact definitions
• latest mark schemes
• most updated exam reports
• complete edition and concise edition eBooks available
The ability to guesstimate on your feet is an essential skill to have in today's world, whether you're trying to distinguish between a billion-dollar subsidy and a trillion-dollar stimulus, a megawatt wind turbine and a gigawatt nuclear plant, or parts-per-million and parts-per-billion contaminants. Lawrence Weinstein begins with a concise tutorial on how to solve these kinds of order of magnitude problems, and then invites readers to have a go themselves. The book features dozens of problems along with helpful hints and easy-to-understand solutions. It also includes appendixes containing useful formulas and more.
Guesstimation 2.0 shows how to estimate everything from how closely you can orbit a neutron star without being pulled apart by gravity, to the fuel used to transport your food from the farm to the store, to the total length of all toilet paper used in the United States. It also enables readers to answer, once and for all, the most asked environmental question of our day: paper or plastic?
Like the Singapore's bar model method, the stack model method allows word problems that were traditionally read in higher grades to be set in lower grades. The stack model method empowers younger readers with the higher-order thinking skills needed to solve word problems much earlier than they would normally acquire in school.
Singapore's stack model method is a more creative and intuitive visualization problem-solving strategy than the bar model method. Brain-unfriendly word problems that are bar-model-unfriendly tend to lend themselves easily to the stack model method.
Features of the Singapore math playbook are:
● Look-See Proofs for Kids
● Visible Thinking in Mathematics
● Advanced Visual Literacy
● Creative and Higher-Order Thinking Skills
● Alternative Solutions and Thought Processes
The Stack Model Method would benefit all grades 5–6 students, teachers, and parents, as they acquaint themselves with this visualization problem-solving strategy to solve both routine and non-routine questions, while indirectly helping them to enhance their creative thinking and problem-solving skills in mathematics. Learn what the best grades 5–6 students in Singapore do in elementary math—you too can learn to solve the types of challenging questions they deal with every day in local schools and tuition centers island-wide.