Elementary and Middle School Mathematics

Teaching Developmentally

Author: John A. Van de Walle,Karen S. Karp,Jennifer M. Bay-Williams

Publisher: N.A

ISBN: 9780205690053

Category: Mathematics

Page: 576

View: 6522

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It is fun to figure out the puzzle of how children go about making sense of mathematics and then how to help teachers help kids. John A. Van de Walle, Late of Virginia Commonwealth University This is the philosophy behind Elementary and Middle School Mathematics: Teaching Developmentally. This book helps students understand mathematics and become confident in their ability to teach the subject to children in pre-kindergarten through eighth grade. Although he could not have foreseen the changes in mathematics teaching over the last three decades, he was at the forefront of the movement towards a constructivist view of teaching, or teaching developmentally. Constructivism says that children construct their own knowledge. They are not blank slates waiting to absorb whatever the teacher tells them. Teachers must understand both mathematics itself and how students learn mathematics in order to teach it effectively. Learning through problem solving is another major theme of this book. Students solve problems not just to apply mathematics, but also to learn new mathematics.Effective problems will take into account where students are, the problematic or engaging aspect of the problem must be due to the mathematics that the students are to learn and not be diluted by non-mathematical activities such as cutting or pasting, and the problem must require justifications and explanations for answers and methods. Learning then becomes an outcome of the problem solving process. The book also addresses in more detail than any other book on the market the effect that the trends of standards-based education, increased pressure to test, and increased teacher accountability have had on teaching mathematics. He addresses the 2000 NCTM Standards in depth, in Chapter 1 on Teaching Mathematics in the Era of the NCTM Standards, through the NCTM icon that appears in the margins throughout the text, and in two appendices in the back of the book. Chapter 5 on Building Assessment into Instruction has also been heavily revised to focus on increased testing pressure, creating more explicit links between objectives and assessment, and including assessments for students with special needs.Elementary and Middle School Mathematics: Teaching Developmentally is a book for doing math today--for both students who want to become teachers, and the students they will eventually teach. New To This Edition: NEW MyEducationLab icons in every chapter connect topics and ideas from chapter content to related videos, Expanded Lessons, simulations and other activities found on the MyEducationLab website at www.myeducationlab.com. NEW Field Experience Guide Connections is a new box at the end of each chapter that connects content and topics from the chapter with related experiences and activities from the Field Experience Guide. NEW Blackline Masters are updated and revised. Specific, numbered references are provided within each chapter. The full set of Blackline Masters is found in Appendix C and full-size copies of each Blackline Master are available both on MyEducationLab and also within the Field Experience Guide. NEW End-of-Chapter pedagogy is reorganized to include: Reflections On and Resources For. The Reflections On section contains Writing to Learn and For Discussion and Exploration.The Resources For section contains Literature Connections (in Chapters 8-23), Field Experience Guide Connections, Recommended Readings (including books and articles), and Online Resources. NEW Curriculum Focal Points are introduced in Chapter 1 and coverage and connections to chapter content are provided throughout the text. NEW Appendix B: Mathematics Teaching Today (Second Edition of Professional Standards for Teaching Mathematics: Teaching Standards). The second edition of the teaching standards (released in 2007) provide a guide to mathematics educators on the knowledge, skills, and dispositions required for effective mathematics teaching. NEW Expanded Lessons follow the lesson struc
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The Algebra Teacher's Guide to Reteaching Essential Concepts and Skills

150 Mini-Lessons for Correcting Common Mistakes

Author: Judith A. Muschla,Gary Robert Muschla,Erin Muschla

Publisher: John Wiley & Sons

ISBN: 111810613X

Category: Education

Page: 336

View: 1591

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Easy to apply lessons for reteaching difficult algebraconcepts Many students have trouble grasping algebra. In this book,bestselling authors Judith, Gary, and Erin Muschla offer help formath teachers who must instruct their students (even those who arestruggling) about the complexities of algebra. In simple terms, theauthors outline 150 classroom-tested lessons, focused on thoseconcepts often most difficult to understand, in terms that aredesigned to help all students unravel the mysteries of algebra.Also included are reproducible worksheets that will assist teachersin reviewing and reinforcing algebra concepts and key skills. Filled with classroom-ready algebra lessons designed forstudents at all levels The 150 mini-lessons can be tailored to a whole class, smallgroups, or individual students who are having trouble This practical, hands-on resource will help ensure thatstudents really get the algebra they are learning
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Teaching the Common Core Math Standards with Hands-On Activities, Grades 6-8

Author: Judith A. Muschla,Gary Robert Muschla,Erin Muschla

Publisher: John Wiley & Sons

ISBN: 1118237285

Category: Education

Page: 272

View: 8799

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Helpful advice for teaching Common Core Math Standards to middle-school students The new Common Core State Standards for Mathematics have been formulated to provide students with instruction that will help them acquire a thorough knowledge of math at their grade level, which will in turn enable them to move on to higher mathematics with competence and confidence. Hands-on Activities for Teaching the Common Core Math Standards is designed to help teachers instruct their students so that they will better understand and apply the skills outlined in the Standards. This important resource also gives teachers a wealth of tools and activities that can encourage students to think critically, use mathematical reasoning, and employ various problem-solving strategies. Filled with activities that will help students gain an understanding of math concepts and skills correlated to the Common Core State Math Standards Offers guidance for helping students apply their understanding of math concepts and skills, develop proficiency in calculations, and learn to think abstractly Describes ways to get students to collaborate with other students, utilize technology, communicate ideas about math both orally and in writing, and gain an appreciation of the significance of mathematics to real life This practical and easy-to-use resource will help teachers give students the foundation they need for success in higher mathematics.
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Math Starters

5- to 10-Minute Activities Aligned with the Common Core Math Standards, Grades 6-12

Author: Judith A. Muschla,Gary Robert Muschla,Erin Muschla

Publisher: John Wiley & Sons

ISBN: 1118690745

Category: Education

Page: 448

View: 6958

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A revised edition of the bestselling activities guide for math teachers Now updated with new math activities for computers and mobile devices—and now organized by the Common Core State Standards—this book includes more than 650 ready-to-use math starter activities that get kids quickly focused and working as soon as they enter the classroom. Ideally suited for any math curriculum, these high-interest problems spark involvement in the day's lesson, help students build skills, and allow teachers to handle daily management tasks without wasting valuable instructional time. A newly updated edition of a bestselling title Ideal for math teachers in grades six through twelve Includes more than 650 ready-to-use starter problems
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The Math Teacher's Problem-a-Day, Grades 4-8

Over 180 Reproducible Pages of Quick Skill Builders

Author: Judith A. Muschla,Gary Robert Muschla

Publisher: John Wiley & Sons

ISBN: 0787997641

Category: Education

Page: 210

View: 1070

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Reproducible worksheets cover the concepts and skills identified by the National Council of Teachers of Mathematics as curriculum focal points for grades four through eight.
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Mathematical Olympiad Challenges

Author: Titu Andreescu,Razvan Gelca

Publisher: Springer Science & Business Media

ISBN: 9780817646110

Category: Mathematics

Page: 283

View: 5771

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Hundreds of beautiful, challenging, and instructive problems from algebra, geometry, trigonometry, combinatorics, and number theory Historical insights and asides are presented to stimulate further inquiry Emphasis is on creative solutions to open-ended problems Many examples, problems and solutions, with a user-friendly and accessible style Enhanced motivatio References
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Teaching Secondary School Mathematics

Research and practice for the 21st century

Author: Colleen Vale,Gloria Stillman,Merrilyn Goos

Publisher: Allen & Unwin

ISBN: 1741156130

Category: Education

Page: 496

View: 4666

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Excellent mathematics teachers make a major difference to the learning outcomes of the students they teach. What are the professional skills and knowledge that really matter? Teaching Secondary School Mathematics is a research based introduction to the professional knowledge, attributes and practices needed to teach mathematics well at secondary level. The authors explain the challenges that secondary mathematics teachers face today, and how they can build on the experiences students bring from primary school and from outside the classroom to ensure students develop concepts and skills in mathematical thinking and a positive attitude to mathematics. They outline the secondary mathematical curriculum and methods of assessment, and examine the pedagogical strategies teachers can use to engage student interest in mathematical concepts. They emphasise the importance of working with mathematical reasoning and problem solving, real world applications, and mathematical communication skills. The core mathematical topics covered at secondary level are reviewed, and the authors also explore the issues teachers need to consider with students of diverse backgrounds. 'I highly recommend this book to practising mathematics teachers as well as pre-service teachers. The combination of research and practical teaching ideas ensures current and worthwhile advice for teaching secondary or middle school students.' Dr Judy Anderson, The University of Sydney 'An excellent book - very readable, interspersed with useful tasks which are grounded in attending to effective classroom practices. A much overdue resource for initial teacher preparation courses.' Associate Professor Glenda Anthony, Massey University
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Parallel Curriculum Units for Grades K–5

Author: Marcia B. Imbeau

Publisher: Corwin Press

ISBN: 1452223238

Category: Education

Page: 280

View: 5231

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The empirically based Parallel Curriculum Model shows teachers how to create meaningful, emotive, and engaging curriculum that challenges all learners according to their interests and abilities.
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Elementary Number Theory with Applications

Author: Thomas Koshy

Publisher: Elsevier

ISBN: 9780080547091

Category: Mathematics

Page: 800

View: 8702

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This second edition updates the well-regarded 2001 publication with new short sections on topics like Catalan numbers and their relationship to Pascal's triangle and Mersenne numbers, Pollard rho factorization method, Hoggatt-Hensell identity. Koshy has added a new chapter on continued fractions. The unique features of the first edition like news of recent discoveries, biographical sketches of mathematicians, and applications--like the use of congruence in scheduling of a round-robin tournament--are being refreshed with current information. More challenging exercises are included both in the textbook and in the instructor's manual. Elementary Number Theory with Applications 2e is ideally suited for undergraduate students and is especially appropriate for prospective and in-service math teachers at the high school and middle school levels. * Loaded with pedagogical features including fully worked examples, graded exercises, chapter summaries, and computer exercises * Covers crucial applications of theory like computer security, ISBNs, ZIP codes, and UPC bar codes * Biographical sketches lay out the history of mathematics, emphasizing its roots in India and the Middle East
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