Math Exchanges

Math Exchanges

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  • Author: Kassia Omohundro Wedekind
  • Publisher: Stenhouse Publishers
  • ISBN: 1571108262
  • Category : Education
  • Languages : en
  • Pages : 216

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?


A Book of Abstract Algebra

A Book of Abstract Algebra

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  • Author: Charles C Pinter
  • Publisher: Courier Corporation
  • ISBN: 0486474178
  • Category : Mathematics
  • Languages : en
  • Pages : 402

Accessible but rigorous, this outstanding text encompasses all of the topics covered by a typical course in elementary abstract algebra. Its easy-to-read treatment offers an intuitive approach, featuring informal discussions followed by thematically arranged exercises. This second edition features additional exercises to improve student familiarity with applications. 1990 edition.


Counterexamples in Analysis

Counterexamples in Analysis

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  • Author: Bernard R. Gelbaum
  • Publisher: Courier Corporation
  • ISBN: 0486134911
  • Category : Mathematics
  • Languages : en
  • Pages : 224

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.


Math Sense

Math Sense

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  • Author: Christine Moynihan
  • Publisher: Stenhouse Publishers
  • ISBN: 1571109420
  • Category : Education
  • Languages : en
  • Pages : 145

How is that you can walk into a classroom and gain an overall sense of the quality of math instruction taking place there? What contributes to getting that sense? In Math Sense, wuthor Christine Moynihan explores some of the components that comprise the look, sound, and feel of effective teaching and learning. Does the landscape of the classroom feature such items as student work samples, a math literature collection, and a number line? Do the lessons include wait time, checks for understanding, and written feedback? Do you feel a spirit of collaboration, risk taking, and a sense of pride? In Math Sense, Moynihan provides a series of self-assessment rubrics to help you identify the earmarks of a vibrant mathematics community that will help inform and refine your practice. This practical guide offers a road map for taking stock of your teaching and building a stronger mathematics classroom environment for you and your students.


Excursions in Geometry

Excursions in Geometry

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  • Author: Charles Stanley Ogilvy
  • Publisher: Courier Corporation
  • ISBN: 0486265307
  • Category : Mathematics
  • Languages : en
  • Pages : 191

A straightedge, compass, and a little thought are all that's needed to discover the intellectual excitement of geometry. Harmonic division and Apollonian circles, inversive geometry, hexlet, Golden Section, more. 132 illustrations.


Advanced Calculus

Advanced Calculus

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  • Author: Lynn Harold Loomis
  • Publisher: World Scientific Publishing Company
  • ISBN: 9814583952
  • Category : Mathematics
  • Languages : en
  • Pages : 596

An authorised reissue of the long out of print classic textbook, Advanced Calculus by the late Dr Lynn Loomis and Dr Shlomo Sternberg both of Harvard University has been a revered but hard to find textbook for the advanced calculus course for decades. This book is based on an honors course in advanced calculus that the authors gave in the 1960's. The foundational material, presented in the unstarred sections of Chapters 1 through 11, was normally covered, but different applications of this basic material were stressed from year to year, and the book therefore contains more material than was covered in any one year. It can accordingly be used (with omissions) as a text for a year's course in advanced calculus, or as a text for a three-semester introduction to analysis. The prerequisites are a good grounding in the calculus of one variable from a mathematically rigorous point of view, together with some acquaintance with linear algebra. The reader should be familiar with limit and continuity type arguments and have a certain amount of mathematical sophistication. As possible introductory texts, we mention Differential and Integral Calculus by R Courant, Calculus by T Apostol, Calculus by M Spivak, and Pure Mathematics by G Hardy. The reader should also have some experience with partial derivatives. In overall plan the book divides roughly into a first half which develops the calculus (principally the differential calculus) in the setting of normed vector spaces, and a second half which deals with the calculus of differentiable manifolds.


Stochastic Calculus for Finance I

Stochastic Calculus for Finance I

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  • Author: Steven Shreve
  • Publisher: Springer Science & Business Media
  • ISBN: 9780387249681
  • Category : Mathematics
  • Languages : en
  • Pages : 212

Developed for the professional Master's program in Computational Finance at Carnegie Mellon, the leading financial engineering program in the U.S. Has been tested in the classroom and revised over a period of several years Exercises conclude every chapter; some of these extend the theory while others are drawn from practical problems in quantitative finance


Becoming the Math Teacher You Wish You'd Had

Becoming the Math Teacher You Wish You'd Had

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  • Author: Tracy Johnston Zager
  • Publisher: Taylor & Francis
  • ISBN: 1003839517
  • Category : Education
  • Languages : en
  • Pages : 393

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.


Implementing Guided Math: Tools for Educational Leaders

Implementing Guided Math: Tools for Educational Leaders

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  • Author: Laney Sammons
  • Publisher: Teacher Created Materials
  • ISBN: 142581512X
  • Category : Education
  • Languages : en
  • Pages : 274

This user-friendly professional resource was written by Laney Sammons. This resource provides instruction on how school leaders can adopt the Guided Math framework into their schools and classrooms. Highlights include tips for creating a strategic plan for improving students' achievement, sample assessments, and tools for planning and implementation.


Meaningful Small Groups in Math, Grades K-5

Meaningful Small Groups in Math, Grades K-5

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  • Author: Kimberly Rimbey
  • Publisher: Corwin Press
  • ISBN: 1071897047
  • Category : Education
  • Languages : en
  • Pages : 281

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.