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Author: W. W. Sawyer
Publisher: Courier Corporation
ISBN: 0486143627
Category : Mathematics
Languages : en
Pages : 370
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Book Description
Sure-fire techniques of visualizing, dramatizing, and analyzing numbers promise to attract and retain students' attention and understanding. Topics include basic multiplication and division, algebra, word problems, graphs, negative numbers, fractions, many other practical applications of elementary mathematics. 1964 ed. Answers to Problems.
Author: W. W. Sawyer
Publisher: Courier Corporation
ISBN: 0486143627
Category : Mathematics
Languages : en
Pages : 370
Get Book Here
Book Description
Sure-fire techniques of visualizing, dramatizing, and analyzing numbers promise to attract and retain students' attention and understanding. Topics include basic multiplication and division, algebra, word problems, graphs, negative numbers, fractions, many other practical applications of elementary mathematics. 1964 ed. Answers to Problems.
Author: W. W. Sawyer
Publisher: Courier Corporation
ISBN: 9780486425559
Category : Mathematics
Languages : en
Pages : 370
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Book Description
As the title suggests, this technique employs visual elements in its exploration of the most graphic and least "forbidding" aspects of mathematics. The author observes that most people possess a direct vision that permits them to "see" only the smaller numbers. In addressing this difficulty, both for those who like recreational mathematics and for those who teach, he suggests a variety of methods: techniques of visualizing, dramatizing, and analyzing numbers that attract and retain the attention and understanding. Topics range from basic multiplication and division to algebra, encompassing word problems, graphs, negative numbers, fractions, and many other practical applications of elementary mathematics. 1964 ed. Answers to Problems.
Author: Bill Barnes
Publisher: Solution Tree
ISBN: 9781942496946
Category : Education
Languages : en
Pages : 0
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Book Description
"National Council of Teachers of Mathematics."
Author: Jen Munson
Publisher:
ISBN: 9780325098692
Category : Elementary school teachers
Languages : en
Pages : 160
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Book Description
Conferring in math supports students' learning How do we support all students' mathematical sense-making and move their thinking forward in the midst of problem solving? Talking to students about their work, while they work, is a powerful way of supporting learning. We often engage in these conversations with our readers and writers, and these interactions are just as needed in mathematics. What does it look like to talk with students about their mathematical thinking so that their thinking grows? Practical, research-based guidance for getting started In the Moment offers research-based guidance for conferring with your students in math. Jen Munson explains how, in just a few minutes, a math conference provides opportunities for supporting productive struggle, helping students grow their ideas, and differentiating instruction. You'll learn about: the process of conferring: eliciting, interpreting, and nudging creating the conditions for conferring in your classroom responding to your students' thinking in the moment of a conference addressing unique challenges teachers face when conferring in math using conferring as formative assessment. Enhanced with online videos showing real math conferences and teacher reflections, this comprehensive, classroom-tested approach to conferring helps you step into your students' mathematical lives to support their learning, communication, and participation. It provides the guidance and support needed to get started with conferring and see it become a crucial part of your teaching.
Author: W. W. Sawyer
Publisher:
ISBN: 9780486788036
Category :
Languages : en
Pages : 346
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Book Description
Author: Rajee Amarasinghe
Publisher:
ISBN: 9781516550739
Category : Mathematics
Languages : en
Pages : 148
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Book Description
Exploring Mathematics: Investigations for Elementary School Teachers is a text designed to give readers a highly conceptual understanding of mathematics topics essential for Common Core Standards-based elementary school teaching. In this book, the development of mathematical concepts, methods, and skills takes place through discussions and analyses of alternative solutions to engaging problems and activities with the use of manipulatives, visual models, and technology. Prospective teachers are expected to make sense of the problems and activities, communicate and articulate their ideas, critique the reasoning of others, and persevere solving problems using appropriate tools. Special features of the book include "Polya's corners" for challenging problems with multiple access points, chapter reflection writing assignments, individual and group project descriptions, and extensive problem sets. The material in Exploring Mathematics is extensively classroom-tested, making this book an ideal, practical text for upper-division mathematics courses for pre-service elementary school teachers. The book not only shows ideas for implementing the eight standards of mathematical practices described in the common core standards into elementary teaching, but also allows the readers to actually experience those practices in their own learning process.
Author: Sarah B. Bush
Publisher: Corwin
ISBN: 154439957X
Category : Education
Languages : en
Pages : 209
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Book Description
A schoolwide solution for students’ mathematics success! Do you sometimes start to teach a mathematics concept and feel like you’re staring at a sea of bewildered faces? What happens when you discover students previously learned a calculation trick or a mnemonic that has muddied their long-term understanding? When "rules" seem to change from year to year, teacher to teacher, or school to school, mathematics can seem like a disconnected mystery for students. Clear up the confusion with a Mathematics Whole-School Agreement! Expanded from the highly popular "Rules that Expire" series of NCTM articles, this essential guide leads educators through the collaborative step-by-step process of establishing a coherent and consistent learner-centered and equitable approach to mathematics instruction. Through this work, you will identify, streamline, and become passionate about using clear and consistent mathematical language, notations, representations, rules, and generalizations within and across classrooms and grades. Importantly, you’ll learn to avoid "rules that expire"—tricks that may seem to help students in one grade but hurt in the long run. Features of this book include · Abundant grade-specific examples · Effective working plans for sustainability · Barrier-busting tips, to-dos, and try-it-outs · Practical templates and checklists · PLC prompts and discussion points When teachers unite across grades, students hit the ground running every year. Take the next step together as a team and help all your students build on existing understanding to find new success and most importantly, love learning and doing mathematics!
Author: National Research Council
Publisher: National Academies Press
ISBN: 0309090814
Category : Education
Languages : en
Pages : 207
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Book Description
The Strategic Education Research Partnership (SERP) is a bold, ambitious plan that proposes a revolutionary program of education research and development. Its purpose is to construct a powerful knowledge base, derived from both research and practice, that will support the efforts of teachers, school administrators, colleges of education, and policy officialsâ€"with the ultimate goal of significantly improving student learning. The proposals in this book have the potential to substantially improve the knowledge base that supports teaching and learning by pursuing answers to questions at the core of teaching practices. It calls for the linking of research and development, including instructional programs, assessment tools, teacher education programs, and materials. Best of all, the book provides a solid framework for a program of research and development that will be genuinely useful to classroom teachers.
Author: National Council of Teachers of Mathematics
Publisher: National Council of Teachers of Mathematics, Incorporated
ISBN: 9780873537742
Category : Curriculum planning
Languages : en
Pages : 139
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Book Description
This text offers guidance to teachers, mathematics coaches, administrators, parents, and policymakers. This book: provides a research-based description of eight essential mathematics teaching practices ; describes the conditions, structures, and policies that must support the teaching practices ; builds on NCTM's Principles and Standards for School Mathematics and supports implementation of the Common Core State Standards for Mathematics to attain much higher levels of mathematics achievement for all students ; identifies obstacles, unproductive and productive beliefs, and key actions that must be understood, acknowledged, and addressed by all stakeholders ; encourages teachers of mathematics to engage students in mathematical thinking, reasoning, and sense making to significantly strengthen teaching and learning.
Author: Antonio Caminha Muniz Neto
Publisher: Springer
ISBN: 9783030085896
Category : Mathematics
Languages : en
Pages : 0
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Book Description
This book provides a comprehensive, in-depth overview of elementary mathematics as explored in Mathematical Olympiads around the world. It expands on topics usually encountered in high school and could even be used as preparation for a first-semester undergraduate course. This second volume covers Plane Geometry, Trigonometry, Space Geometry, Vectors in the Plane, Solids and much more. As part of a collection, the book differs from other publications in this field by not being a mere selection of questions or a set of tips and tricks that applies to specific problems. It starts from the most basic theoretical principles, without being either too general or too axiomatic. Examples and problems are discussed only if they are helpful as applications of the theory. Propositions are proved in detail and subsequently applied to Olympic problems or to other problems at the Olympic level. The book also explores some of the hardest problems presented at National and International Mathematics Olympiads, as well as many essential theorems related to the content. An extensive Appendix offering hints on or full solutions for all difficult problems rounds out the book.
