Accessible Mathematics

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Accessible Mathematics

Steve Leinwand
Accessible Mathematics Book PDF

Author : Steve Leinwand
Publisher : Heinemann Educational Books
Page : 140 pages
File Size : 41,6 Mb
Release : 2009
Category : Mathematics
ISBN : UCSD:31822037161031

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Accessible Mathematics by Steve Leinwand Pdf

Raising students' math achievement doesn't mean ripping up your planning book and starting over. In Accessible Mathematics Steven Leinwand (author of Sensible Mathematics) shows how small shifts in the good teaching you already do can make a big difference in student learning. Steve focuses on the crucial issue of classroom instruction. He scours the research and visits highly effective classrooms for practical examples of small adjustments to your teaching that lead to deeper student learning in math. Some of his 10 classroom-tested teaching shifts may surprise you and others will validate your thinking. But all of them will improve your students' performance. Thoroughly practical and ever-aware of the limits of teachers' time, Steve gives you everything you need to put his commonsense ideas to use immediately. His extensive planning advice will help you streamline your teaching to get more from everything you do. Classroom examples from every grade level model teaching language and instructional moves. And his suggestions for professional learning help increase your effectiveness through the power of collaboration. Steven Leinwand shares your priority: raising the mathematical understanding and achievement of every one of your students. Read Accessible Mathematics, try his 10 suggestions in your practice, and discover how minor shifts in your teaching can put student learning into high gear.

Making Math Accessible to Students With Special Needs (Grades 3-5)

r4Educated Solutions
Making Math Accessible to Students With Special Needs Grades 3 5 Book PDF

Author : r4Educated Solutions
Publisher : Solution Tree Press
Page : 224 pages
File Size : 40,8 Mb
Release : 2011-12-30
Category : Education
ISBN : 9781936765867

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Making Math Accessible to Students With Special Needs (Grades 3-5) by r4Educated Solutions Pdf

The purpose of Making Math Accessible to Students With Special Needs is to support everyone involved in mathematics education to become confident and competent with mathematics instruction and assessment so that 99% of students will be able to access enrolled grade-level mathematics. This resource is designed to actively engage readers through reflections and tasks in each chapter and can be used as a self-study professional development or as a group book study. Sample answers to tasks and reflections are found in the appendix, along with additional supports.

Making Mathematics Accessible to English Learners

Anonim
Making Mathematics Accessible to English Learners Book PDF

Author : Anonim
Publisher : WestEd
Page : 131 pages
File Size : 55,5 Mb
Release : 2009
Category : Education
ISBN : 9780914409687

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Making Mathematics Accessible to English Learners by Anonim Pdf

This practical book helps middle and high school mathematics teachers effectively reach English learners in their classrooms. Designed for teachers who have had limited preparation for teaching mathematics to English learners, the guide offers an integrated approach to teaching mathematics content and English language skills, including guidance on best instructional practices from the field, powerful and concrete strategies for teaching mathematics content along with academic language, and sample lesson scenarios that can be implemented immediately in any mathematics class. It includes: Rubrics to help teachers identify the most important language skills at five ELD levels Practical guidance and tips from the field Seven scaffolding strategies for differentiating instruction Seven tools to promote mathematical language Assessment techniques and accommodations to lower communication barriers for English learners Three integrated lesson scenarios demonstrating how to combine and embed these various strategies, tools, techniques, and approaches Chapter topics include teaching inquiry-based mathematics, understanding first and second language development, teaching the language of mathematics, scaffolding mathematics learning, and applying strategies in the classroom.

Making Math Accessible to Students With Special Needs (Grades K2)

r4Educated Solutions
Making Math Accessible to Students With Special Needs Grades K2 Book PDF

Author : r4Educated Solutions
Publisher : Solution Tree Press
Page : 232 pages
File Size : 54,9 Mb
Release : 2011-12-30
Category : Education
ISBN : 9781936765898

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Making Math Accessible to Students With Special Needs (Grades K2) by r4Educated Solutions Pdf

The purpose of Making Math Accessible to Students With Special Needs is to support everyone involved in mathematics education to become confident and competent with mathematics instruction and assessment so that 99% of students will be able to access enrolled grade-level mathematics. This resource actively engages readers through reflections and tasks in each chapter and can be used as a self-study professional development or as a group book study. Sample answers to tasks and reflections are found in the appendix, along with additional supports. Making Math Accessible to Students With Special Needs is designed for all teachers involved with mathematics instruction and is a unique resource for alternatively certified teachers and adjunct professionals.

Accessible Algebra

Anne Collins,Steven Benson
Accessible Algebra Book PDF

Author : Anne Collins,Steven Benson
Publisher : Stenhouse Publishers
Page : 237 pages
File Size : 43,9 Mb
Release : 2017
Category : Education
ISBN : 9781625310675

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Accessible Algebra by Anne Collins,Steven Benson Pdf

Accessible Algebra: 30 Modules to Promote Algebraic Reasoning, Grades 7-10 is for any pre-algebra or algebra teacher who wants to provide a rich and fulfilling experience for students as they develop new ways of thinking through and about algebra. The book includes 30 lessons that identifies a focal domain and standard in algebra, then lays out the common misconceptions and challenges students may face as they work to investigate and understand problems. Authors Anne Collins and Steven Benson conferred with students in real classrooms as the students explained what problem-solving strategies they were using or worked to ask the right questions that would lead them to a deeper understanding of algebra. Each scenario represents actual instances of an algebra classroom that demonstrate effective teaching methods, real-life student questions, and conversations about the problems at hand. Accessible Algebra works for students at every level. In each lesson there are sections on how to support struggling students, as well as ways to challenge students who may need more in-depth work. There are also numerous additional resources, including research articles and classroom vignettes.

Rethinking Mathematics

Eric Gutstein,Bob Peterson
Rethinking Mathematics Book PDF

Author : Eric Gutstein,Bob Peterson
Publisher : Rethinking Schools
Page : 192 pages
File Size : 40,6 Mb
Release : 2005
Category : Mathematics
ISBN : 9780942961546

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Rethinking Mathematics by Eric Gutstein,Bob Peterson Pdf

In this unique collection, more than 30 articles show how to weave social justice issues throughout the mathematics curriculum, as well as how to integrate mathematics into other curricular areas. Rethinking Mathematics offers teaching ideas, lesson plans, and reflections by practitioners and mathematics educators. This is real-world math-math that helps students analyze problems as they gain essential academic skills. This book offers hope and guidance for teachers to enliven and strengthen their math teaching. It will deepen students' understanding of society and help prepare them to be critical, active participants in a democracy. Blending theory and practice, this is the only resource of its kind.

Mathematical Logic

Joseph R. Shoenfield
Mathematical Logic Book PDF

Author : Joseph R. Shoenfield
Publisher : CRC Press
Page : 281 pages
File Size : 43,9 Mb
Release : 2018-05-02
Category : Mathematics
ISBN : 9781351433303

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Mathematical Logic by Joseph R. Shoenfield Pdf

This classic introduction to the main areas of mathematical logic provides the basis for a first graduate course in the subject. It embodies the viewpoint that mathematical logic is not a collection of vaguely related results, but a coherent method of attacking some of the most interesting problems, which face the mathematician. The author presents the basic concepts in an unusually clear and accessible fashion, concentrating on what he views as the central topics of mathematical logic: proof theory, model theory, recursion theory, axiomatic number theory, and set theory. There are many exercises, and they provide the outline of what amounts to a second book that goes into all topics in more depth. This book has played a role in the education of many mature and accomplished researchers.

My Kids Can

Judy Storeygard,Judith Storeygard
My Kids Can Book PDF

Author : Judy Storeygard,Judith Storeygard
Publisher : Heinemann Educational Books
Page : 248 pages
File Size : 42,8 Mb
Release : 2009
Category : Effective teaching
ISBN : UCSD:31822021211958

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My Kids Can by Judy Storeygard,Judith Storeygard Pdf

Teaching mathematics to a range of learners has always been challenging. With the widespread use of inclusion and RTI, having a variety of effective teaching options for students who struggle is more important than ever. In My Kids Can, you'll get instructional strategies that allow all struggling math learners to move along the path toward grade-level competency. In My Kids Can teachers share successful ways to work with struggling students. Their instruction is aligned with the NCTM standards and guided by five powerful core principles. Make mathematical thinking explicit. Link assessment and teaching. Build understanding through talk. Expect students to take responsibility for their own learning and support them as they do. Work collaboratively with special education staff to plan effective instruction. These teachers describe how they use whole-group, small-group, and individual instruction as well as other strategies that hold kids to high expectations while scaffolding content and processes across the math curriculum. In addition, an accompanying DVD presents classroom footage of their teaching and includes the language, dialogue, and teaching moves you'll adapt for success with your students. The DVD also contains teacher interviews that answer difficult questions of practice. Best of all, with professional learning questions and video analyses, My Kids Can is great for individuals, teacher study groups, staff development, and preservice courses. Help every child grow as a mathematician. Trust your fellow teachers for instruction that works. Read My Kids Can and use its proven-effective strategies and its professional supports to build on your students' strengths and address their learning needs.

A Dingo Ate My Math Book: Mathematics from Down Under

Burkard Polster,Marty Ross
A Dingo Ate My Math Book Mathematics from Down Under Book PDF

Author : Burkard Polster,Marty Ross
Publisher : American Mathematical Soc.
Page : 253 pages
File Size : 41,5 Mb
Release : 2017-12-27
Category : Mathematics
ISBN : 9781470435219

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A Dingo Ate My Math Book: Mathematics from Down Under by Burkard Polster,Marty Ross Pdf

A Dingo Ate My Math Book presents ingenious, unusual, and beautiful nuggets of mathematics with a distinctly Australian flavor. It focuses, for example, on Australians' love of sports and gambling, and on Melbourne's iconic, mathematically inspired architecture. Written in a playful and humorous style, the book offers mathematical entertainment as well as a glimpse of Australian culture for the mathematically curious of all ages. This collection of engaging stories was extracted from the Maths Masters column that ran from 2007 to 2014 in Australia's Age newspaper. The maths masters in question are Burkard Polster and Marty Ross, two (immigrant) Aussie mathematicians, who each week would write about math in the news, providing a new look at old favorites, mathematical history, quirks of school mathematics—whatever took their fancy. All articles were written for a very general audience, with the intention of being as inviting as possible and assuming a minimum of mathematical background.

Tactile Learning Activities in Mathematics

Julie Barnes,Jessica M. Libertini
Tactile Learning Activities in Mathematics Book PDF

Author : Julie Barnes,Jessica M. Libertini
Publisher : American Mathematical Soc.
Page : 303 pages
File Size : 54,5 Mb
Release : 2018-08-06
Category : Mathematics
ISBN : 9781470448011

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Tactile Learning Activities in Mathematics by Julie Barnes,Jessica M. Libertini Pdf

Q: What do feather boas, cookies, and paper shredders have in common? A: They are all ingredients that have the potential to help your undergraduate students understand a variety of mathematical concepts. In this book, 43 faculty from a wide range of institutional settings share a total of 64 hands-on activities that allow students to physically engage with mathematical ideas ranging from the basics of precalculus to special topics appropriate for upper-level courses. Each learning activity is presented in an easy-to-read recipe format that includes a list of supplies; a narrative briefly describing the reasons, logistics, and helpful hints for running the activity; and a page that can be used as a handout in class. Purchase of the book also includes access to electronic printable versions of the handouts. With so many activities, it might be hard to decide where to start. For that reason, there are four indices to help the reader navigate this book: a concept index, a course index, an [Author]; index, and a main ingredient index. In addition to providing activities for precalculus, calculus, commonly required mathematics courses for majors, and more specialized upper-level electives, there is also a section describing how to modify many of the activities to fit into a liberal arts mathematics class. Whether you are new to using hands-on activities in class or are more experienced, the [Author];s hope that this book will encourage and inspire you to explore the possibilities of using more hands-on activities in your classes. Bon appetit!

Making Mathematics Accessible for Elementary Students who Struggle

Margaret Flores,Megan Burton,Vanessa Hinton
Making Mathematics Accessible for Elementary Students who Struggle Book PDF

Author : Margaret Flores,Megan Burton,Vanessa Hinton
Publisher : Plural Publishing
Page : 0 pages
File Size : 48,7 Mb
Release : 2018
Category : Cognition in children
ISBN : 1597569844

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Making Mathematics Accessible for Elementary Students who Struggle by Margaret Flores,Megan Burton,Vanessa Hinton Pdf

Making Mathematics Accessible for Elementary Students Who Struggle: Using CRA/CSA for Interventions provides educators with focused methods for students who struggle in elementary mathematics. The methods and procedures revolve around the CRA/CSA (concrete-representational/semi-concrete-abstract) instructional sequence. These strategies are intended for small group intensive instruction, one that addresses students' need for increased repetition and explicitness that cannot be provided within a large group of students with diverse learning needs. Current research on the CRA/CSA instructional sequence is scattered across multiple resources. This book provides comprehensive coverage of the most up-to-date research in one user-friendly resource. The sequence is included in every chapter and addresses instruction related to number sense, counting, basic operations, complex operations, basic fraction concepts, and operations with fractions. This resource is written by experienced professors spanning the fields of special education and curriculum and teaching. Its professional insight, aligned with current mathematical teaching standards and CRA/CSA research, makes this text invaluable to upcoming or current teachers in elementary mathematics. Features: Explicit and hands-on examples of CRA/CSA's use aligned with current mathematics standards and practices, Suggestions and tips for various classroom situations, Application questions for every chapter, Drawings and diagrams associated with steps of the teaching process, Classroom-tested strategies Book jacket.

Mathematics in Computing

Gerard O’Regan
Mathematics in Computing Book PDF

Author : Gerard O’Regan
Publisher : Springer Nature
Page : 468 pages
File Size : 53,8 Mb
Release : 2020-01-10
Category : Computers
ISBN : 9783030342098

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Mathematics in Computing by Gerard O’Regan Pdf

This illuminating textbook provides a concise review of the core concepts in mathematics essential to computer scientists. Emphasis is placed on the practical computing applications enabled by seemingly abstract mathematical ideas, presented within their historical context. The text spans a broad selection of key topics, ranging from the use of finite field theory to correct code and the role of number theory in cryptography, to the value of graph theory when modelling networks and the importance of formal methods for safety critical systems. This fully updated new edition has been expanded with a more comprehensive treatment of algorithms, logic, automata theory, model checking, software reliability and dependability, algebra, sequences and series, and mathematical induction. Topics and features: includes numerous pedagogical features, such as chapter-opening key topics, chapter introductions and summaries, review questions, and a glossary; describes the historical contributions of such prominent figures as Leibniz, Babbage, Boole, and von Neumann; introduces the fundamental mathematical concepts of sets, relations and functions, along with the basics of number theory, algebra, algorithms, and matrices; explores arithmetic and geometric sequences and series, mathematical induction and recursion, graph theory, computability and decidability, and automata theory; reviews the core issues of coding theory, language theory, software engineering, and software reliability, as well as formal methods and model checking; covers key topics on logic, from ancient Greek contributions to modern applications in AI, and discusses the nature of mathematical proof and theorem proving; presents a short introduction to probability and statistics, complex numbers and quaternions, and calculus. This engaging and easy-to-understand book will appeal to students of computer science wishing for an overview of the mathematics used in computing, and to mathematicians curious about how their subject is applied in the field of computer science. The book will also capture the interest of the motivated general reader.

Illustrating Mathematics

Diana Davis
Illustrating Mathematics Book PDF

Author : Diana Davis
Publisher : American Mathematical Soc.
Page : 171 pages
File Size : 51,7 Mb
Release : 2020-10-16
Category : Education
ISBN : 9781470461225

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Illustrating Mathematics by Diana Davis Pdf

This book is for anyone who wishes to illustrate their mathematical ideas, which in our experience means everyone. It is organized by material, rather than by subject area, and purposefully emphasizes the process of creating things, including discussions of failures that occurred along the way. As a result, the reader can learn from the experiences of those who came before, and will be inspired to create their own illustrations. Topics illustrated within include prime numbers, fractals, the Klein bottle, Borromean rings, tilings, space-filling curves, knot theory, billiards, complex dynamics, algebraic surfaces, groups and prime ideals, the Riemann zeta function, quadratic fields, hyperbolic space, and hyperbolic 3-manifolds. Everyone who opens this book should find a type of mathematics with which they identify. Each contributor explains the mathematics behind their illustration at an accessible level, so that all readers can appreciate the beauty of both the object itself and the mathematics behind it.

Equations and Inequalities

OECD
Equations and Inequalities Book PDF

Author : OECD
Publisher : Org. for Economic Cooperation & Development
Page : 0 pages
File Size : 40,7 Mb
Release : 2016
Category : Academic achievement
ISBN : 9264258485

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Equations and Inequalities by OECD Pdf

More than ever, students need to engage with mathematical concepts, think quantitatively and analytically, and communicate using mathematics. All these skills are central to a young person's preparedness to tackle problems that arise at work and in life beyond the classroom. But the reality is that many students are not familiar with basic mathematics concepts and, at school, only practice routine tasks that do not improve their ability to think quantitatively and solve real-life, complex problems. How can we break this pattern? This report, based on results from PISA 2012, shows that one way forward is to ensure that all students spend more "engaged" time learning core mathematics concepts and solving challenging mathematics tasks. The opportunity to learn mathematics content - the time students spend learning mathematics topics and practising maths tasks at school - can accurately predict mathematics literacy. Differences in students' familiarity with mathematics concepts explain a substantial share of performance disparities in PISA between socio-economically advantaged and disadvantaged students. Widening access to mathematics content can raise average levels of achievement and, at the same time, reduce inequalities in education and in society at large.

A Project-Based Guide to Undergraduate Research in Mathematics

Pamela E. Harris,Erik Insko,Aaron Wootton
A Project Based Guide to Undergraduate Research in Mathematics Book PDF

Author : Pamela E. Harris,Erik Insko,Aaron Wootton
Publisher : Springer Nature
Page : 324 pages
File Size : 46,9 Mb
Release : 2020-04-17
Category : Mathematics
ISBN : 9783030378530

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A Project-Based Guide to Undergraduate Research in Mathematics by Pamela E. Harris,Erik Insko,Aaron Wootton Pdf

This volume provides accessible and self-contained research problems designed for undergraduate student projects, and simultaneously promotes the development of sustainable undergraduate research programs. The chapters in this work span a variety of topical areas of pure and applied mathematics and mathematics education. Each chapter gives a self-contained introduction on a research topic with an emphasis on the specific tools and knowledge needed to create and maintain fruitful research programs for undergraduates. Some of the topics discussed include:• Disease modeling• Tropical curves and surfaces• Numerical semigroups• Mathematics EducationThis volume will primarily appeal to undergraduate students interested in pursuing research projects and faculty members seeking to mentor them. It may also aid students and faculty participating in independent studies and capstone projects.