Learning to Think Mathematically with the Number Line
Author: Jeffery A. Frykholm
Publisher:
Published: 2010-01-01
Total Pages:
ISBN-13: 9781450701402
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Becoming the Math Teacher You Wish You'd Had
Author: Tracy Johnston Zager
Publisher: Taylor & Francis
Published: 2023-10-10
Total Pages: 393
ISBN-13: 1003839517
DOWNLOAD EBOOKAsk mathematicians to describe mathematics and they' ll use words like playful, beautiful, and creative. Pose the same question to students and many will use words like boring, useless, and even humiliating. Becoming the Math Teacher You Wish You' d Had, author Tracy Zager helps teachers close this gap by making math class more like mathematics. Zager has spent years working with highly skilled math teachers in a diverse range of settings and grades and has compiled those' ideas from these vibrant classrooms into' this game-changing book. Inside you' ll find: ' How to Teach Student-Centered Mathematics:' Zager outlines a problem-solving approach to mathematics for elementary and middle school educators looking for new ways to inspire student learning Big Ideas, Practical Application:' This math book contains dozens of practical and accessible teaching techniques that focus on fundamental math concepts, including strategies that simulate connection of big ideas; rich tasks that encourage students to wonder, generalize, hypothesize, and persevere; and routines to teach students how to collaborate Key Topics for Elementary and Middle School Teachers:' Becoming the Math Teacher You Wish You' d Had' offers fresh perspectives on common challenges, from formative assessment to classroom management for elementary and middle school teachers No matter what level of math class you teach, Zager will coach you along chapter by chapter. All teachers can move towards increasingly authentic and delightful mathematics teaching and learning. This important book helps develop instructional techniques that will make the math classes we teach so much better than the math classes we took.
Guided Math Workshop
Author: Laney Sammons
Publisher: Teacher Created Materials
Published: 2017-03-01
Total Pages: 234
ISBN-13: 1425816541
DOWNLOAD EBOOKThis must-have resource helps teachers successfully plan, organize, implement, and manage Guided Math Workshop. It provides practical strategies for structure and implementation to allow time for teachers to conduct small-group lessons and math conferences to target student needs. The tested resources and strategies for organization and management help to promote student independence and provide opportunities for ongoing practice of previously mastered concepts and skills. With sample workstations and mathematical tasks and problems for a variety of grade levels, this guide is sure to provide the information that teachers need to minimize preparation time and meet the needs of all students.
How Humans Learn to Think Mathematically
Author: David Tall
Publisher: Cambridge University Press
Published: 2013-09-02
Total Pages: 483
ISBN-13: 1107035708
DOWNLOAD EBOOKHow Humans Learn to Think Mathematically describes the development of mathematical thinking from the young child to the sophisticated adult. Professor David Tall reveals the reasons why mathematical concepts that make sense in one context may become problematic in another. For example, a child's experience of whole number arithmetic successively affects subsequent understanding of fractions, negative numbers, algebra, and the introduction of definitions and proof. Tall's explanations for these developments are accessible to a general audience while encouraging specialists to relate their areas of expertise to the full range of mathematical thinking. The book offers a comprehensive framework for understanding mathematical growth, from practical beginnings through theoretical developments, to the continuing evolution of mathematical thinking at the highest level.
Number Talks
Author: Sherry Parrish
Publisher: Math Solutions
Published: 2010
Total Pages: 434
ISBN-13: 1935099116
DOWNLOAD EBOOK"A multimedia professional learning resource"--Cover.
The Number Line through Guided Inquiry
Author: David M. Clark
Publisher: American Mathematical Society
Published: 2021-12-10
Total Pages: 124
ISBN-13: 1470465043
DOWNLOAD EBOOKThe Number Line through Guided Inquiry is designed to give future secondary teachers a deep understanding of the real numbers and functions on the reals. By presenting just that part of the subject that underlies the high school curriculum, this book offers an alternative to a standard real analysis sequence for advanced undergraduate or beginning graduate students. It will give any student a much deeper understanding of the mathematics that they were taught in high school. Written in a guided-inquiry format, this book consists of a carefully scaffolded sequence of definitions, problems, and theorems that guides students through each topic. Readers solve the problems and prove the theorems on their own and present their results to their peers with the instructor as a mentor and a guide. Students will learn not only the mathematics, but also how to help others learn mathematics. They will learn to think creatively and to make compelling arguments to justify their conclusions. They will learn to listen critically to others and give constructive feedback. Ultimately, they will learn to work as a team to answer the bigger questions and build a common understanding of the broader subject.
Ready, Set, Hop!
Author: Stuart J. Murphy
Publisher: Harper Collins
Published: 1996-03-27
Total Pages: 40
ISBN-13: 0064467023
DOWNLOAD EBOOKFrog friends, Matty and Moe, are off with a "Ready, Set, Hop!" They both made it to the rock, but who's in the lead? If Matty hopped 5 hops and Moe hopped 2 more hops than Matty, then the score is 5 to 7. But then they're off again. Any child who can add or subtract can build a simple equation, and Matty and Moe make it fun. As readers count along with Stuart J. Murphy and Jon Buller they will sharpen their problem solving skills and find out which frog is the better hopper.
Number Sense Routines
Author: Jessica F. Shumway
Publisher: Stenhouse Publishers
Published: 2011
Total Pages: 194
ISBN-13: 1571107908
DOWNLOAD EBOOKJust as athletes stretch their muscles before every game and musicians play scales to keep their technique in tune, mathematical thinkers and problem solvers can benefit from daily warm-up exercises. Jessica Shumway has developed a series of routines designed to help young students internalize and deepen their facility with numbers. The daily use of these quick five-, ten-, or fifteen-minute experiences at the beginning of math class will help build students' number sense. Students with strong number sense understand numbers, ways to represent numbers, relationships among numbers, and number systems. They make reasonable estimates, compute fluently, use reasoning strategies (e.g., relate operations, such as addition and subtraction, to each other), and use visual models based on their number sense to solve problems. Students who never develop strong number sense will struggle with nearly all mathematical strands, from measurement and geometry to data and equations. In Number Sense Routines, Jessica shows that number sense can be taught to all students. Dozens of classroom examples -- including conversations among students engaging in number sense routines -- illustrate how the routines work, how children's number sense develops, and how to implement responsive routines. Additionally, teachers will gain a deeper understanding of the underlying math -- the big ideas, skills, and strategies children learn as they develop numerical literacy.
Routines for Reasoning
Author: Grace Kelemanik
Publisher: Heinemann Educational Books
Published: 2016
Total Pages: 0
ISBN-13: 9780325078151
DOWNLOAD EBOOKRoutines can keep your classroom running smoothly. Now imagine having a set of routines focused not on classroom management, but on helping students develop their mathematical thinking skills. Routines for Reasoning provides expert guidance for weaving the Standards for Mathematical Practice into your teaching by harnessing the power of classroom-tested instructional routines. Grace Kelemanik, Amy Lucenta, and Susan Janssen Creighton have applied their extensive experience teaching mathematics and supporting teachers to crafting routines that are practical teaching and learning tools. -- Provided by publisher.
Math with Bad Drawings
Author: Ben Orlin
Publisher: Black Dog & Leventhal
Published: 2018-09-18
Total Pages: 556
ISBN-13: 0316509027
DOWNLOAD EBOOKA hilarious reeducation in mathematics-full of joy, jokes, and stick figures-that sheds light on the countless practical and wonderful ways that math structures and shapes our world. In Math With Bad Drawings, Ben Orlin reveals to us what math actually is; its myriad uses, its strange symbols, and the wild leaps of logic and faith that define the usually impenetrable work of the mathematician. Truth and knowledge come in multiple forms: colorful drawings, encouraging jokes, and the stories and insights of an empathetic teacher who believes that math should belong to everyone. Orlin shows us how to think like a mathematician by teaching us a brand-new game of tic-tac-toe, how to understand an economic crises by rolling a pair of dice, and the mathematical headache that ensues when attempting to build a spherical Death Star. Every discussion in the book is illustrated with Orlin's trademark "bad drawings," which convey his message and insights with perfect pitch and clarity. With 24 chapters covering topics from the electoral college to human genetics to the reasons not to trust statistics, Math with Bad Drawings is a life-changing book for the math-estranged and math-enamored alike.
