Build A Mathematical Mind

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Building Thinking Classrooms in Mathematics, Grades K-12

Author : Peter Liljedahl
Publisher : Corwin Press
Page : 454 pages
File Size : 54,5 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.

Blueberries for Sal

Author : Robert McCloskey
Publisher : Penguin
Page : 32 pages
File Size : 54,6 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.

How Not to Be Wrong

Author : Jordan Ellenberg
Publisher : Penguin Press
Page : 480 pages
File Size : 52,6 Mb
Release : 2014-05-29
Category : Mathematics
ISBN : 9781594205224

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How Not to Be Wrong by Jordan Ellenberg Pdf

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.

Choral Counting & Counting Collections

Author : Megan L Franke,Elham Kazemi,Angela Chan Turrou
Publisher : Taylor & Francis
Page : 303 pages
File Size : 46,6 Mb
Release : 2023-10-10
Category : Education
ISBN : 9781003834045

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Choral Counting & Counting Collections by Megan L Franke,Elham Kazemi,Angela Chan Turrou Pdf

In this influential book from collaborative authors Megan L Franke, Elham Kazemi, and Angela Chan Turrou, Choral Counting & Counting Collections: Transforming the PreK – 5 Math Classroom, explores ways in which two routines -- Choral Counting and Counting Collections -- can transform your elementary math classroom, your students' math understanding, and your partnerships with families. It paints a vision for how deeply and creatively children can engage with ideas of number and operations and mathematical reasoning through counting. Created with real educators' needs in mind and organized by grade-level band (preschool, K-2, and 3-5), inside this book you'll find: Easy-to-use planning templates to guide teachers in implementing these powerful routines A variety of student recording sheets for Counting Collections that allow teachers to enact different variations of this activity across the grades Guides for selecting Choral Counts that support grade-level standards and mathematical goals Goal charts that provide specific guidance on teacher language and moves Advice on supporting both students' mathematical and social goals through Choral Counting and Counting Collections The authors have collected the wisdom of math teachers and researchers across the country who explore activities that are both playful and intentional, simple and sophisticated. If you're looking for ways to bring new energy into your math instruction, Choral Counting & Counting Collections: Transforming the PreK - 5 Math Classroom is the perfect book for you and your students.

Daily Routines to Jump-Start Math Class, Elementary School

Author : John J. SanGiovanni
Publisher : Corwin Press
Page : 193 pages
File Size : 54,7 Mb
Release : 2019-08-06
Category : Education
ISBN : 9781544374956

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Daily Routines to Jump-Start Math Class, Elementary School by John J. SanGiovanni Pdf

Do your students need more practice to develop number sense and reasoning? Are you looking to engage your students with activities that are uncomplicated, worthwhile, and doable? Have you had success with number talks but do your students crave more variety? Have you ever thought, "What can I do differently?" Swap out traditional warmup practices and captivate your elementary students with these new, innovative, and ready-to-go routines! Trusted elementary math expert John J. SanGiovanni details 20 classroom-proven practice routines to help you ignite student engagement, reinforce learning, and prepare students for the lesson ahead. Each quick and lively activity spurs mathematics discussion and provides a structure for talking about numbers, number concepts, and number sense. Designed to jump-start mathematics reasoning in any elementary classroom, the routines are: Rich with content-specific examples and extensions Modifiable to work with math content at any K-5 grade level Compatible with any textbook or core mathematics curriculum Practical, easy-to-implement, and flexible for use as a warm-up or other activity Accompanied by online slides and video demonstrations, the easy 5–10 minute routines become your go-to materials for a year’s work of daily plug-and-play short-burst reasoning and fluency instruction that reinforces learning and instills mathematics confidence in students. Students’ brains are most ready to learn in the first few minutes of math class. Give math practice routines a makeover in your classroom with these 20 meaningful and energizing warmups for learning crucial mathematics skills and concepts, and make every minute count.

A Certain Ambiguity

Author : Gaurav Suri,Hartosh Singh Bal
Publisher : Princeton University Press
Page : 296 pages
File Size : 49,9 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.

Mathematical Mindsets

Author : Jo Boaler
Publisher : John Wiley & Sons
Page : 311 pages
File Size : 44,9 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.

Introduction to Mathematical Thinking

Author : Keith J. Devlin
Publisher : Unknown
Page : 0 pages
File Size : 43,9 Mb
Release : 2012
Category : Mathematics
ISBN : 0615653634

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Introduction to Mathematical Thinking by Keith J. Devlin Pdf

"Mathematical thinking is not the same as 'doing math'--unless you are a professional mathematician. For most people, 'doing math' means the application of procedures and symbolic manipulations. Mathematical thinking, in contrast, is what the name reflects, a way of thinking about things in the world that humans have developed over three thousand years. It does not have to be about mathematics at all, which means that many people can benefit from learning this powerful way of thinking, not just mathematicians and scientists."--Back cover.

A Mind for Numbers

Author : Barbara A. Oakley
Publisher : TarcherPerigee
Page : 338 pages
File Size : 48,7 Mb
Release : 2014-07-31
Category : Mathematics
ISBN : 9780399165245

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A Mind for Numbers by Barbara A. Oakley Pdf

Engineering professor Barbara Oakley knows firsthand how it feels to struggle with math. In her book, she offers you the tools needed to get a better grasp of that intimidating but inescapable field.

Miracle Math

Author : Harry Lorayne
Publisher : Barnes & Noble Publishing
Page : 264 pages
File Size : 42,8 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."

Basic Training in Mathematics

Author : R. Shankar
Publisher : Springer
Page : 371 pages
File Size : 55,9 Mb
Release : 2013-12-20
Category : Science
ISBN : 9781489967985

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Basic Training in Mathematics by R. Shankar Pdf

Based on course material used by the author at Yale University, this practical text addresses the widening gap found between the mathematics required for upper-level courses in the physical sciences and the knowledge of incoming students. This superb book offers students an excellent opportunity to strengthen their mathematical skills by solving various problems in differential calculus. By covering material in its simplest form, students can look forward to a smooth entry into any course in the physical sciences.

The Discovery of the Child

Author : Maria Montessori
Publisher : Aakar Books
Page : 396 pages
File Size : 51,8 Mb
Release : 2004
Category : Education, Preschool
ISBN : 8187879238

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The Discovery of the Child by Maria Montessori Pdf

Maria Montessori (1870 1952), Italian Physician And Educationist, Born In Rome, The First Woman In Italy To Receive A Medical Degree (1894), She Founded A School For Children With Learning Disabilities (1899 1901), And Developed A System Of Education For Children Of Three To Six Based On Spontaneity Of Expression And Freedom From Restraint. The System Was Later Worked Out For Older Children, And Applied In Montessori Schools Throughout The World. She Opened The First Montessori School For Children In The Slums Of Rome In 1907.

Growing Mathematical Minds

Author : Jennifer S. McCray,Jie-Qi Chen,Janet Eisenband-Sorkin
Publisher : Routledge
Page : 244 pages
File Size : 50,6 Mb
Release : 2018-08-16
Category : Education
ISBN : 9781317295174

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Growing Mathematical Minds by Jennifer S. McCray,Jie-Qi Chen,Janet Eisenband-Sorkin Pdf

Growing Mathematical Minds is the documentation of an innovative, bi-directional process of connecting research and practice in early childhood mathematics. The book translates research on early mathematics from developmental psychology into terms that are meaningful to teachers and readily applicable in early childhood classrooms. It documents teacher responses, and conveys their thoughts and questions back to representative researchers, who reply in turn. In so doing, this highly useful book creates a conversation, in which researchers and teachers each bring their expertise to bear; their communication about these topics—informed by the thinking, commitment, and experience of both groups—helps us better understand how developmental psychology can improve math teaching, and how math teaching can, in turn, inform developmental science. The book bridges the gap between research and practice, helping teachers to adopt evidence-based practices and apply cutting-edge research findings, and prompting developmental researchers to consider their work within the framework of practice. Growing Mathematical Minds identifies and elucidates research with profound implications for teaching children from three to eight years so they develop foundational math knowledge and skills, positive attitudes toward math, and basic abilities to think mathematically.

The Little Book of Mathematical Principles, Theories & Things

Author : Robert Solomon
Publisher : Fox Chapel Publishing
Page : 355 pages
File Size : 47,9 Mb
Release : 2016-01-01
Category : Mathematics
ISBN : 9781607652229

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The Little Book of Mathematical Principles, Theories & Things by Robert Solomon Pdf

This little book makes serious math simple—with more than 120 laws, theorems, paradoxes, and more explained in jargon-free terms. The Little Book of Mathematical Principles provides simple, clear explanations for the principles, equations, paradoxes, laws, and theorems that form the basis of modern mathematics. It is a refreshingly engaging tour of Fibonacci numbers, Euclid's Elements, and Zeno's paradoxes, as well as other fundamental principles such as chaos theory, game theory, and the game of life. Renowned mathematics author Dr. Robert Solomon simplifies the ancient discipline of mathematics and provides fascinating answers to intriguing questions, such as: What is the greatest pyramid?, What is a perfect number?, and Is there a theory for stacking oranges?

Mathematical Mind-Benders

Author : Peter Winkler
Publisher : CRC Press
Page : 159 pages
File Size : 50,8 Mb
Release : 2007-08-17
Category : Mathematics
ISBN : 9781568815077

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Mathematical Mind-Benders by Peter Winkler Pdf

Peter Winkler is at it again. Following the enthusiastic reaction to Mathematical Puzzles: A Connoisseur's Collection, Peter has compiled a new collection of elegant mathematical puzzles to challenge and entertain the reader. The original puzzle connoisseur shares these puzzles, old and new, so that you can add them to your own anthology. This book