Using Formative Assessment to Differentiate Mathematics Instruction, Grades 4–10

Seven Practices to Maximize Learning

Author: Leslie Laud

Publisher: Corwin Press

ISBN: 1452239509

Category: Education

Page: 168

View: 1304

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Seven easy steps to differentiating math instruction for busy teachers Staff development expert Leslie Laud provides a clear roadmap for using formative assessment to differentiate mathematics instruction for students in Grades 4–10. She presents a comprehensive framework of seven research-based practices that show teachers how to: Get started and establish norms Implement formative assessment Create tiered lessons Manage a multitasking classroom effectively Tested, reviewed, and enhanced by experienced math teachers, the book includes practical examples, reproducibles, and student activities that are easy for busy teachers to implement immediately.
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Elementary Mathematical Models: An Accessible Development without Calculus, Second Edition

Author: Dan Kalman,Sacha Forgoston,Albert Goetz

Publisher: American Mathematical Soc.

ISBN: 1470450011

Category: Mathematical analysis

Page: 509

View: 7700

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Elementary Mathematical Models offers instructors an alternative to standard college algebra, quantitative literacy, and liberal arts mathematics courses. Presuming only a background of exposure to high school algebra, the text introduces students to the methodology of mathematical modeling, which plays a role in nearly all real applications of mathematics. A course based on this text would have as its primary goal preparing students to be competent consumers of mathematical modeling in their future studies. Such a course would also provide students with an understanding of the modeling process and a facility with much of the standard, non-trigonometric, content of college algebra and precalculus. This book builds, successively, a series of growth models defined in terms of simple recursive patterns of change corresponding to arithmetic, quadratic, geometric, and logistic growth. Students discover and come to understand linear, polynomial, exponential, and logarithmic functions in the context of analyzing these models of intrinsically—and scientifically—interesting phenomena including polar ice extent, antibiotic resistance, and viral internet videos. Students gain a deep appreciation for the power and limitations of mathematical modeling in the physical, life, and social sciences as questions of modeling methodology are carefully and constantly addressed. Realistic examples are used consistently throughout the text, and every topic is illustrated with models that are constructed from and compared to real data. The text is extremely attractive and the exposition is extraordinarily clear. The lead author of this text is the recipient of nine MAA awards for expository writing including the Ford, Evans, Pólya, and Allendoerfer awards and the Beckenbach Book prize. Great care has been taken by accomplished expositors to make the book readable by students. Those students will also benefit from more than 1,000 carefully crafted exercises.
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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: 9461

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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: 317

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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: 9847

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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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Assessment for Intervention, Second Edition

A Problem-Solving Approach

Author: Rachel Brown-Chidsey,Kristina J Andren, PsyD, Ncsp,Kristina J. Andren

Publisher: Guilford Publications

ISBN: 1462520944

Category: Psychology

Page: 386

View: 3726

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Problem-solving assessment is an essential component of multi-tiered systems of support such as response to intervention (RTI) and positive behavioral interventions and supports (PBIS). This authoritative work provides a complete guide to implementing a wide range of problem-solving assessment methods: functional behavioral assessment, interviews, classroom observations, curriculum-based measurement, rating scales, and cognitive instruments. Prominent experts demonstrate the key role of assessment throughout the process of supporting at-risk students, from identifying academic and behavioral problems to planning and monitoring interventions. Several chapters include reproducible forms that can be downloaded and printed in a convenient 8 1/2" x 11" size. New to This Edition Reflects current education policy and best practices. Seminal chapter on problem solving by Stanley L. Deno has been updated with a revised model. All chapters now discuss assessment in the context of multi-tiered systems of support. Chapter on working with culturally and linguistically diverse learners. Chapter on graphing student data. See also Response to Intervention, Second Edition, by Rachel Brown-Chidsey and Mark W. Steege, which provides step-by-step guidelines and practical tools for implementing RTI schoolwide.
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The Mathematics Enthusiast Issue

Volume 12 #13

Author: Bharath Sriraman

Publisher: IAP

ISBN: 1681232588

Category: Education

Page: 481

View: 3857

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The Mathematics Enthusiast (TME) is an eclectic internationally circulated peer reviewed journal which focuses on mathematics content, mathematics education research, innovation, interdisciplinary issues and pedagogy. The journal exists as an independent entity. It is published on a print?on?demand basis by Information Age Publishing and the electronic version is hosted by the Department of Mathematical Sciences? University of Montana. The journal is not affiliated to nor subsidized by any professional organizations but supports PMENA [Psychology of Mathematics Education? North America] through special issues on various research topics.
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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: 5342

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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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Teaching Secondary School Mathematics

Research and practice for the 21st century

Author: Merrilyn Goos,Gloria Stillman,Colleen Vale

Publisher: Allen & Unwin

ISBN: 1741156130

Category: Education

Page: 496

View: 9663

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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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Mathematical Olympiad Challenges

Author: Titu Andreescu,Razvan Gelca

Publisher: Springer Science & Business Media

ISBN: 9780817646110

Category: Mathematics

Page: 283

View: 6957

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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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