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Author: Kassia Omohundro Wedekind
Publisher: Stenhouse Publishers
ISBN: 1571108262
Category : Education
Languages : en
Pages : 216
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Book Description
Traditionally, small-group math instruction has been used as a format for reaching children who struggle to understand. Math coach Kassia Omohundro Wedekind uses small-group instruction as the centerpiece of her math workshop approach, engaging all students in rigorous "math exchanges." The key characteristics of these mathematical conversations are that they are: 1) short, focused sessions that bring all mathematical minds together, 2) responsive to the needs of the specific group of mathematicians, and 3) designed for meaningful, guided reflection. As in reading and writing workshop, students in math workshop become self-directed and independent while participating in a classroom community of learners. Through the math exchanges, students focus on number sense and the big ideas of mathematics. Teachers guide the conversations with small groups of students, mediating talk and thinking as students share problem-solving strategies, discuss how math works, and move toward more effective and efficient approaches and greater mathematical understanding. Although grounded in theory and research, Math Exchanges: Guiding Young Mathematicians in Small Group Meetings is written for practicing teachers and answers such questions as the following: How can I use a math workshop approach and follow a certain textbook or set of standards? How should I form small groups? How often should I meet with small groups? What should I focus on in small groups? How can I tell if my groups are making progress? What do small-group math exchanges look like, sound like, and feel like?
Author: Kassia Omohundro Wedekind
Publisher: Stenhouse Publishers
ISBN: 1571108262
Category : Education
Languages : en
Pages : 216
Get Book Here
Book Description
Traditionally, small-group math instruction has been used as a format for reaching children who struggle to understand. Math coach Kassia Omohundro Wedekind uses small-group instruction as the centerpiece of her math workshop approach, engaging all students in rigorous "math exchanges." The key characteristics of these mathematical conversations are that they are: 1) short, focused sessions that bring all mathematical minds together, 2) responsive to the needs of the specific group of mathematicians, and 3) designed for meaningful, guided reflection. As in reading and writing workshop, students in math workshop become self-directed and independent while participating in a classroom community of learners. Through the math exchanges, students focus on number sense and the big ideas of mathematics. Teachers guide the conversations with small groups of students, mediating talk and thinking as students share problem-solving strategies, discuss how math works, and move toward more effective and efficient approaches and greater mathematical understanding. Although grounded in theory and research, Math Exchanges: Guiding Young Mathematicians in Small Group Meetings is written for practicing teachers and answers such questions as the following: How can I use a math workshop approach and follow a certain textbook or set of standards? How should I form small groups? How often should I meet with small groups? What should I focus on in small groups? How can I tell if my groups are making progress? What do small-group math exchanges look like, sound like, and feel like?
Author: Bernard R. Gelbaum
Publisher: Courier Corporation
ISBN: 0486134911
Category : Mathematics
Languages : en
Pages : 226
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Book Description
These counterexamples deal mostly with the part of analysis known as "real variables." Covers the real number system, functions and limits, differentiation, Riemann integration, sequences, infinite series, functions of 2 variables, plane sets, more. 1962 edition.
Author: Morris Kline
Publisher: Courier Corporation
ISBN: 0486134768
Category : Mathematics
Languages : en
Pages : 962
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Book Description
Application-oriented introduction relates the subject as closely as possible to science with explorations of the derivative; differentiation and integration of the powers of x; theorems on differentiation, antidifferentiation; the chain rule; trigonometric functions; more. Examples. 1967 edition.
Author: Ronald L. Graham
Publisher: Addison-Wesley Professional
ISBN: 0134389980
Category : Computers
Languages : en
Pages : 811
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Book Description
This book introduces the mathematics that supports advanced computer programming and the analysis of algorithms. The primary aim of its well-known authors is to provide a solid and relevant base of mathematical skills - the skills needed to solve complex problems, to evaluate horrendous sums, and to discover subtle patterns in data. It is an indispensable text and reference not only for computer scientists - the authors themselves rely heavily on it! - but for serious users of mathematics in virtually every discipline. Concrete Mathematics is a blending of CONtinuous and disCRETE mathematics. "More concretely," the authors explain, "it is the controlled manipulation of mathematical formulas, using a collection of techniques for solving problems." The subject matter is primarily an expansion of the Mathematical Preliminaries section in Knuth's classic Art of Computer Programming, but the style of presentation is more leisurely, and individual topics are covered more deeply. Several new topics have been added, and the most significant ideas have been traced to their historical roots. The book includes more than 500 exercises, divided into six categories. Complete answers are provided for all exercises, except research problems, making the book particularly valuable for self-study. Major topics include: Sums Recurrences Integer functions Elementary number theory Binomial coefficients Generating functions Discrete probability Asymptotic methods This second edition includes important new material about mechanical summation. In response to the widespread use of the first edition as a reference book, the bibliography and index have also been expanded, and additional nontrivial improvements can be found on almost every page. Readers will appreciate the informal style of Concrete Mathematics. Particularly enjoyable are the marginal graffiti contributed by students who have taken courses based on this material. The authors want to convey not only the importance of the techniques presented, but some of the fun in learning and using them.
Author: Sammons, Laney
Publisher: Shell Education
ISBN: 1618137999
Category : Education
Languages : en
Pages : 285
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Book Description
Support the implementation of the Guided Math framework with this user-friendly professional guide written by Guided Math author, Laney Sammons. This resource provides school leaders (coaches, principals, curriculum directors, teacher leaders, etc.) with user-friendly strategies for supporting teachers as they embark on teaching components of the Guided Math framework in their classrooms. Highlights include how to use the professional learning community model effectively when implementing Guided Math, tips for creating a strategic plan for improving students’ mathematics achievement, sample implementation models, sample assessments, and planning and implementation tools.
Author: Kimberly Rimbey
Publisher: Corwin Press
ISBN: 1071897047
Category : Education
Languages : en
Pages : 281
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Book Description
Target the Math...Support the Students...Provide Access for All The need for focused small group math instruction has never been greater. Today’s education landscape is fraught with learning divides unlike anything we’ve faced in recent years. We need new ways of teaching students who have remarkably varying levels of understanding and vastly different needs. Meaningful Small Groups in Math, Grades K-5 offers practical guidance on how to meet the diverse needs of today’s students. Written for K-5 classroom teachers, math interventionists and instructional coaches, this user-friendly, accessible book provides guidance on the necessary components of small group instruction in math, trajectories for small-group instruction on specific concepts, and practical steps for getting started. Readers will find Checklists and templates for implementing small group, sample lessons in the major content domains Emphasis on flexible groups Intervention and extension ideas for differentiating learning A chapter devoted to developing small-group programs across a school or organization Small group instruction in mathematics has not been as well-developed as its counterpart in the reading world. In K-5 math classrooms, small-group instruction has typically been reduced to learning centers and rotation stations, with little emphasis on differentiated, small-group, teacher-facilitated learning. To meet the needs of today’s students, a more focused approach is needed.
Author: Tracy Johnston Zager
Publisher: Taylor & Francis
ISBN: 1003839517
Category : Education
Languages : en
Pages : 393
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Book Description
Ask 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.
Author: Sammons, Laney
Publisher: Shell Education
ISBN: 1618137964
Category : Education
Languages : en
Pages : 220
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Book Description
This professional resource provides teachers with suggestions, tips, management, and implementation methods for using effective conferencing with students within the Guided Math framework. Templates, planning tools, and other resources are provided to help teachers stay organized and effective while conferring.
Author: Marla Parker
Publisher: American Mathematical Soc.
ISBN: 1614441057
Category : Mathematics
Languages : en
Pages : 261
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Book Description
She Does Math! presents the career histories of 38 professional women and math problems written by them. Each history describes how much math the [Author]; took in high school and college; how she chose her field of study; and how she ended up in her current job. Each of the women present several problems typical of those she had to solve on the job using mathematics. There are many good reasons to buy this book: It contains real-life problems. Any student who asks the question, "Why do I have to learn algebra or trigonometry or geometry?" will find many answers in its pages. Students will welcome seeing solutions from real-world jobs where the math skills they are learning in class are actually used. The book provides strong female role models and supplies practical information about the job market. Students learn that they can only compete for these interesting, well-paying jobs by taking mathematics throughout their high school and college years. The book demonstrates the surprising variety of fields in which mathematics is used. Who should have this book? Your daughter or granddaughter, your sister, your former math teacher, your students--and young men, too. They want to know how the math they study is applied--and this book will show them.
Author: Cornel Ioan Vălean
Publisher: Springer Nature
ISBN: 3031212622
Category : Mathematics
Languages : en
Pages : 847
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Book Description
This book, the much-anticipated sequel to (Almost) Impossible, Integrals, Sums, and Series, presents a whole new collection of challenging problems and solutions that are not commonly found in classical textbooks. As in the author’s previous book, these fascinating mathematical problems are shown in new and engaging ways, and illustrate the connections between integrals, sums, and series, many of which involve zeta functions, harmonic series, polylogarithms, and various other special functions and constants. Throughout the book, the reader will find both classical and new problems, with numerous original problems and solutions coming from the personal research of the author. Classical problems are shown in a fresh light, with new, surprising or unconventional ways of obtaining the desired results devised by the author. This book is accessible to readers with a good knowledge of calculus, from undergraduate students to researchers. It will appeal to all mathematical puzzlers who love a good integral or series and aren’t afraid of a challenge.
