Build A Mathematical Mind

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Build a Mathematical Mind--Even If You Think You Can't Have One

Author : Albert Rutherford
Publisher : Unknown
Page : 0 pages
File Size : 50,9 Mb
Release : 2023
Category : Critical thinking
ISBN : 9798375400723

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Build a Mathematical Mind--Even If You Think You Can't Have One by Albert Rutherford Pdf

Would you like to be a proficient mathematician... without using numbers? There is so much more to math than geometry and calculus! It is present in almost every life aspect, from improving your communication skills to how to fit your luggage into your car. Did you always hate math because you couldn't understand complex formulas? Don't let a few equations or a bad teacher deter you from building a mathematical mind. Learn the best cognitive tools to revolutionize the way you make sense of problems and persevere in solving them. Boost your critical thinking and analytical skills. Mathematical thinking involves analyzing data, patterns, and relationships and evaluating information and arguments, which can help improve critical thinking skills. Adopt a mathematician's mindset. Tinker, invent, make educated guesses, describe with precision, and use probability to your advantage. Build a Mathematical Mind - Even If You Think You Can't Have One is an action manual that will help you sharpen your everyday life skills such as:- improving your logic,- understanding how probability works,- and making estimations. This is a research-backed math manual you'll love to read. It contains examples for faster learning and greater everyday impact. Hone your problem-solving skills and make better decisions. Albert Rutherford is an internationally bestselling author whose writing derives from various sources, such as research, coaching, academic, and real-life experience. Improve your communication skills. Mathematical thinking involves clearly and concisely explaining ideas and solutions, which can improve how you communicate. With enhanced precision, you will have a keen attention to detail and the ability to be accurate in your thinking and talking. Increase your confidence. Developing mathematical thinking skills can increase your confidence and self-esteem, being able to solve difficult problems and understand complex ideas. If you ever felt ashamed for not getting math, this is the time to heal that wound. Give math another chance. Let it make you unstoppable!

A Mind for Numbers

Author : Barbara A. Oakley
Publisher : TarcherPerigee
Page : 338 pages
File Size : 54,5 Mb
Release : 2014-07-31
Category : Business & Economics
ISBN : 9780399165245

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A Mind for Numbers by Barbara A. Oakley Pdf

An engineering professor who started out doing poorly in mathematical and technical subjects in school offers tools, tips and techniques to learning the creative and analytical thought processes that will lead to achievement in math and science. Original.

Building Thinking Classrooms in Mathematics, Grades K-12

Author : Peter Liljedahl
Publisher : Corwin Press
Page : 344 pages
File Size : 50,9 Mb
Release : 2020-09-28
Category : Education
ISBN : 9781544374840

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Building Thinking Classrooms in Mathematics, Grades K-12 by Peter Liljedahl Pdf

A thinking student is an engaged student Teachers often find it difficult to implement lessons that help students go beyond rote memorization and repetitive calculations. In fact, institutional norms and habits that permeate all classrooms can actually be enabling "non-thinking" student behavior. Sparked by observing teachers struggle to implement rich mathematics tasks to engage students in deep thinking, Peter Liljedahl has translated his 15 years of research into this practical guide on how to move toward a thinking classroom. Building Thinking Classrooms in Mathematics, Grades K–12 helps teachers implement 14 optimal practices for thinking that create an ideal setting for deep mathematics learning to occur. This guide Provides the what, why, and how of each practice and answers teachers’ most frequently asked questions Includes firsthand accounts of how these practices foster thinking through teacher and student interviews and student work samples Offers a plethora of macro moves, micro moves, and rich tasks to get started Organizes the 14 practices into four toolkits that can be implemented in order and built on throughout the year When combined, these unique research-based practices create the optimal conditions for learner-centered, student-owned deep mathematical thinking and learning, and have the power to transform mathematics classrooms like never before.

The Number Sense

Author : Stanislas Dehaene
Publisher : OUP USA
Page : 339 pages
File Size : 52,8 Mb
Release : 2011-04-29
Category : Mathematics
ISBN : 9780199753871

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The Number Sense by Stanislas Dehaene Pdf

"Our understanding of how the human brain performs mathematical calculations is far from complete. In The Number Sense, Stanislas Dehaene offers readers an enlightening exploration of the mathematical mind. Using research showing that human infants have a rudimentary number sense, Dehaene suggests that this sense is as basic as our perception of color, and that it is wired into the brain. But how then did we leap from this basic number ability to trigonometry, calculus, and beyond? Dehaene shows that it was the invention of symbolic systems of numerals that started us on the climb to higher mathematics. Tracing the history of numbers, we learn that in early times, people indicated numbers by pointing to part of their bodies, and how Roman numerals were replaced by modern numbers. On the way, we also discover many fascinating facts: for example, because Chinese names for numbers are short, Chinese people can remember up to nine or ten digits at a time, while English-speaking people can only remember seven. A fascinating look at the crossroads where numbers and neurons intersect, The Number Sense offers an intriguing tour of how the structure of the brain shapes our mathematical abilities, and how math can open up a window on the human mind"--Provided by publisher.

Blueberries for Sal

Author : Robert McCloskey
Publisher : Penguin
Page : 64 pages
File Size : 47,9 Mb
Release : 1976-09-30
Category : Juvenile Fiction
ISBN : 9781101654811

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Blueberries for Sal by Robert McCloskey Pdf

What happens when Sal and her mother meet a mother bear and her cub? A Caldecott Honor Book! Kuplink, kuplank, kuplunk! Sal and her mother a picking blueberries to can for the winter. But when Sal wanders to the other side of Blueberry Hill, she discovers a mama bear preparing for her own long winter. Meanwhile Sal's mother is being followed by a small bear with a big appetite for berries! Will each mother go home with the right little one? With its expressive line drawings and charming story, Blueberries for Sal has won readers' hearts since its first publication in 1948. "The adventures of a little girl and a baby bear while hunting for blueberries with their mothers one bright summer day. All the color and flavor of the sea and pine-covered Maine countryside."—School Library Journal, starred review.

Deep Thinking

Author : William Byers
Publisher : World Scientific
Page : 264 pages
File Size : 42,8 Mb
Release : 2014-09-22
Category : Education
ISBN : 9789814618052

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Deep Thinking by William Byers Pdf

There is more than one way to think. Most people are familiar with the systematic, rule-based thinking that one finds in a mathematical proof or a computer program. But such thinking does not produce breakthroughs in mathematics and science nor is it the kind of thinking that results in significant learning. Deep thinking is a different and more basic way of using the mind. It results in the discontinuous “aha!” experience, which is the essence of creativity. It is at the heart of every paradigm shift or reframing of a problematic situation. The identification of deep thinking as the default state of the mind has the potential to reframe our current approach to technological change, education, and the nature of mathematics and science. For example, there is an unbridgeable gap between deep thinking and computer simulations of thinking. Many people suspect that such a gap exists, but find it difficult to make this intuition precise. This book identifies the way in which the authentic intelligence of deep thinking differs from the artificial intelligence of “big data” and “analytics”. Deep thinking is the essential ingredient in every significant learning experience, which leads to a new way to think about education. It is also essential to the construction of conceptual systems that are at the heart of mathematics and science, and of the technologies that shape the modern world. Deep thinking can be found whenever one conceptual system morphs into another. The sources of this study include the cognitive development of numbers in children, neuropsychology, the study of creativity, and the historical development of mathematics and science. The approach is unusual and original. It comes out of the author's lengthy experience as a mathematician, teacher, and writer of books about mathematics and science, such as How Mathematicians Think: Using Ambiguity, Contradiction, and Paradox to Create Mathematics and The Blind Spot: Science and the Crisis of Uncertainty. Contents:What is Deep Thinking?Conceptual SystemsDeep Thinking in Mathematics and ScienceDeep Thinking in the Mind and the BrainDeep Thinking and CreativityDeep LearningGood TeachingUndergraduate MathematicsWhat the Mind Can Teach Us About MathematicsWhat Mathematics Can Teach Us About the MindReferences Readership: Students, graduate students and researchers with an interest in mathematics, mathematicians, scientists, philosophers, psychologists, and readers who use mathematics in their work. Key Features:In this book, the author, a mathematician, demonstrates the specific difference between creative mathematical thought and the analytic thought of logic and the artificial intelligence of computersThis book shows why learning is a creative activity and demonstrates how teaching and learning must undergo radical changes in this age of rapid technological changeMathematics is a model for how people think and it reveals the essence of intelligenceThe author, a mathematician, demonstrates that creativity is a basic feature of the world. The same phenomenon of creative intelligence underlies the theory of evolution, child development, learning, and scientific and mathematical research. Creativity is so natural that even babies are capable of it but so difficult that adults have great trouble with it. This book explains the reasons behind this apparent paradoxKeywords:Mathematics;Cognitive Development;Thinking;Education;Mathematics Education;Conceptual Systems

Miracle Math

Author : Harry Lorayne
Publisher : Barnes & Noble Publishing
Page : 264 pages
File Size : 54,8 Mb
Release : 1992
Category : Mathematics
ISBN : 0880298766

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Miracle Math by Harry Lorayne Pdf

Presents mathematical shortcut and "how to develop a calculator in your head."

Limitless Mind

Author : Jo Boaler
Publisher : HarperCollins
Page : 256 pages
File Size : 52,7 Mb
Release : 2019-09-03
Category : Psychology
ISBN : 9780062851772

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Limitless Mind by Jo Boaler Pdf

“Boaler is one of those rare and remarkable educators who not only know the secret of great teaching but also know how to give that gift to others.” — CAROL DWECK, author of Mindset “Jo Boaler is one of the most creative and innovative educators today. Limitless Mind marries cutting-edge brain science with her experience in the classroom, not only proving that each of us has limitless potential but offering strategies for how we can achieve it.” — LAURENE POWELL JOBS “A courageous freethinker with fresh ideas on learning.” — BOOKLIST In this revolutionary book, a professor of education at Stanford University and acclaimed math educator who has spent decades studying the impact of beliefs and bias on education, reveals the six keys to unlocking learning potential, based on the latest scientific findings. From the moment we enter school as children, we are made to feel as if our brains are fixed entities, capable of learning certain things and not others, influenced exclusively by genetics. This notion follows us into adulthood, where we tend to simply accept these established beliefs about our skillsets (i.e. that we don’t have “a math brain” or that we aren’t “the creative type”). These damaging—and as new science has revealed, false—assumptions have influenced all of us at some time, affecting our confidence and willingness to try new things and limiting our choices, and, ultimately, our futures. Stanford University professor, bestselling author, and acclaimed educator Jo Boaler has spent decades studying the impact of beliefs and bias on education. In Limitless Mind, she explodes these myths and reveals the six keys to unlocking our boundless learning potential. Her research proves that those who achieve at the highest levels do not do so because of a genetic inclination toward any one skill but because of the keys that she reveals in the book. Our brains are not “fixed,” but entirely capable of change, growth, adaptability, and rewiring. Want to be fluent in mathematics? Learn a foreign language? Play the guitar? Write a book? The truth is not only that anyone at any age can learn anything, but the act of learning itself fundamentally changes who we are, and as Boaler argues so elegantly in the pages of this book, what we go on to achieve.

Mind and Matter

Author : John Urschel,Louisa Thomas
Publisher : Penguin
Page : 256 pages
File Size : 41,5 Mb
Release : 2019-05-14
Category : Biography & Autobiography
ISBN : 9780735224872

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Mind and Matter by John Urschel,Louisa Thomas Pdf

A New York Times bestseller John Urschel, mathematician and former offensive lineman for the Baltimore Ravens, tells the story of a life balanced between two passions For John Urschel, what began as an insatiable appetite for puzzles as a child developed into mastery of the elegant systems and rules of mathematics. By the time he was thirteen, Urschel was auditing a college-level calculus course. But when he joined his high school football team, a new interest began to eclipse the thrill he felt in the classroom. Football challenged Urschel in an entirely different way, and he became addicted to the physical contact of the sport. After he accepted a scholarship to play at Penn State, his love of math was rekindled. As a Nittany Lion, he refused to sacrifice one passion for the other. Against the odds, Urschel found a way to manage his double life as a scholar and an athlete. While he was an offensive lineman for the Baltimore Ravens, he simultaneously pursued his PhD in mathematics at MIT. Weaving together two separate narratives, Urschel relives for us the most pivotal moments of his bifurcated life. He explains why, after Penn State was sanctioned for the acts of former coach Jerry Sandusky, he declined offers from prestigious universities and refused to abandon his team. He describes his parents’ different influences and their profound effect on him, and he opens up about the correlation between football and CTE and the risks he took for the game he loves. Equally at home discussing Georg Cantor’s work on infinities and Bill Belichick’s playbook, Urschel reveals how each challenge—whether on the field or in the classroom—has brought him closer to understanding the two different halves of his own life, and how reason and emotion, the mind and the body, are always working together. “So often, people want to divide the world into two,” he observes. “Matter and energy. Wave and particle. Athlete and mathematician. Why can’t something (or someone) be both?”

Where Mathematics Come From How The Embodied Mind Brings Mathematics Into Being

Author : George Lakoff,Rafael E. Nunez
Publisher : Unknown
Page : 520 pages
File Size : 51,7 Mb
Release : 2000-11-02
Category : Mathematics
ISBN : UOM:39015049551552

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Where Mathematics Come From How The Embodied Mind Brings Mathematics Into Being by George Lakoff,Rafael E. Nunez Pdf

A study of the cognitive science of mathematical ideas.

Mathematical Mindsets

Author : Jo Boaler
Publisher : John Wiley & Sons
Page : 311 pages
File Size : 40,9 Mb
Release : 2015-10-12
Category : Education
ISBN : 9781118418277

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Mathematical Mindsets by Jo Boaler Pdf

Banish math anxiety and give students of all ages a clear roadmap to success 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 learning Reveals how to turn mistakes and struggles into valuable learning experiences Provides examples of rich mathematical activities to replace rote learning Explains ways to give students a positive math mindset Gives 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.

Thinking Like a Mathematician

Author : Mary-Lyons Walk Hanks,Jennifer K. Lampert,Katherine Plum
Publisher : Routledge
Page : 152 pages
File Size : 40,5 Mb
Release : 2021-11-05
Category : Education
ISBN : 9781000489910

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Thinking Like a Mathematician by Mary-Lyons Walk Hanks,Jennifer K. Lampert,Katherine Plum Pdf

Thinking Like a Mathematician focuses on high-interest, career-related topics in the elementary curriculum related to mathematics. Students will explore interdisciplinary content, foster creativity, and develop higher order thinking skills with activities aligned to relevant content area standards. Students will engage in exploration activities, complete mathematical challenges, and then apply what they have learned by making real-world connections. Thinking Like a Mathematician reflects key emphases of curricula from the Center for Gifted Education at William & Mary, including the development of process skills in various content areas and the enhancement of discipline-specific thinking and habits of mind through hands-on activities. Grade 3

The 8 Streams of Confluent Learning to Personal Effectiveness

Author : Ed S. Teovisio
Publisher : Confluent Learning
Page : 251 pages
File Size : 40,9 Mb
Release : 2023-06-06
Category : Education
ISBN : 9789710110919

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The 8 Streams of Confluent Learning to Personal Effectiveness by Ed S. Teovisio Pdf

One of the greatest motivators for men and women to scale heights and overcome what seems to be insurmountable odds is often an incident early in their lives that perpetually challenged them. It is like climbing one's Mt. Everest while pursuing their lives and, more specifically, their chosen fields of endeavor. But how can one get past personal and career life challenges and emerge victorious? That is what this book, "The 8 Streams of Confluent Learning to Personal Effectiveness," is all about. Its author, Ed Teovisio, presents his theory on holistic learning and human potential development with insightful, introspective, and experiential fervor. Ed transcends the term "learning" from its traditional sense making it relevant not only in developing the cognitive mind but also the creative, physical, intrapersonal, spiritual, interpersonal, emotional, and behavioral faculties that play an important part in learning and realizing one's success potentials. Much like how powerful the 10 numbers can become, when combined, can come up with countless permutations; the 3 primary colors can produce infinite palette of colors; the 7 musical notes can create unlimited melodies; the streams that become a river and rivers that become an ocean. The confluence or coming together and meeting at a common point of the 8 life streams can draw out the power to excel in one's chosen fields of endeavor where personal effectiveness is central. Part 1 entitled "Learn" deals with the author's personal transformation and relevant body of knowledge from the international community from which many of his insights were drawn. Part 2 dubbed as "Unleash" describes in detail the 8 principles and techniques of the learning theory. Part 3 marked as "Succeed" presents 8 developmental programs to guide the readers on the specific applications of the principles and how to successfully unleash their personal effectiveness in various work / life situations.

The Absorbent Mind

Author : Maria Montessori
Publisher : Simon and Schuster
Page : 231 pages
File Size : 47,8 Mb
Release : 2013-03-25
Category : Education
ISBN : 9781625588685

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The Absorbent Mind by Maria Montessori Pdf

The Absorbent Mind was Maria Montessori's most in-depth work on her educational theory, based on decades of scientific observation of children. Her view on children and their absorbent minds was a landmark departure from the educational model at the time. This book helped start a revolution in education. Since this book first appeared there have been both cognitive and neurological studies that have confirmed what Maria Montessori knew decades ago.

A Certain Ambiguity

Author : Gaurav Suri,Hartosh Singh Bal
Publisher : Princeton University Press
Page : 296 pages
File Size : 50,9 Mb
Release : 2010-07-01
Category : Fiction
ISBN : 9781400834778

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A Certain Ambiguity by Gaurav Suri,Hartosh Singh Bal Pdf

While taking a class on infinity at Stanford in the late 1980s, Ravi Kapoor discovers that he is confronting the same mathematical and philosophical dilemmas that his mathematician grandfather had faced many decades earlier--and that had landed him in jail. Charged under an obscure blasphemy law in a small New Jersey town in 1919, Vijay Sahni is challenged by a skeptical judge to defend his belief that the certainty of mathematics can be extended to all human knowledge--including religion. Together, the two men discover the power--and the fallibility--of what has long been considered the pinnacle of human certainty, Euclidean geometry. As grandfather and grandson struggle with the question of whether there can ever be absolute certainty in mathematics or life, they are forced to reconsider their fundamental beliefs and choices. Their stories hinge on their explorations of parallel developments in the study of geometry and infinity--and the mathematics throughout is as rigorous and fascinating as the narrative and characters are compelling and complex. Moving and enlightening, A Certain Ambiguity is a story about what it means to face the extent--and the limits--of human knowledge.