Open Middle Math

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Author :
Publisher : Taylor & Francis
ISBN 13 : 1003839886
Total Pages : 193 pages
Book Rating : 4.0/5 (38 download)

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Book Synopsis Open Middle Math by : Robert Kaplinsky

Download or read book Open Middle Math written by Robert Kaplinsky and published by Taylor & Francis. This book was released on 2023-10-10 with total page 193 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is an amazing resource for teachers who are struggling to help students develop both procedural fluency and conceptual understanding.. --Dr. Margaret (Peg) Smith, co-author of5 Practices for Orchestrating Productive Mathematical Discussions Robert Kaplinsky, the co-creator of Open Middle math problems, brings hisnew class of tasks designed to stimulate deeper thinking and lively discussion among middle and high school students in Open Middle Math: Problems That Unlock Student Thinking, Grades 6-12. The problems are characterized by a closed beginning,- meaning all students start with the same initial problem, and a closed end,- meaning there is only one correct or optimal answer. The key is that the middle is open- in the sense that there are multiple ways to approach and ultimately solve the problem. These tasks have proven enormously popular with teachers looking to assess and deepen student understanding, build student stamina, and energize their classrooms. Professional Learning Resource for Teachers: Open Middle Math is an indispensable resource for educators interested in teaching student-centered mathematics in middle and high schools consistent with the national and state standards. Sample Problems at Each Grade: The book demonstrates the Open Middle concept with sample problems ranging from dividing fractions at 6th grade to algebra, trigonometry, and calculus. Teaching Tips for Student-Centered Math Classrooms: Kaplinsky shares guidance on choosing problems, designing your own math problems, and teaching for multiple purposes, including formative assessment, identifying misconceptions, procedural fluency, and conceptual understanding. Adaptable and Accessible Math: The tasks can be solved using various strategies at different levels of sophistication, which means all students can access the problems and participate in the conversation. Open Middle Math will help math teachers transform the 6th -12th grade classroom into an environment focused on problem solving, student dialogue, and critical thinking.

Open-Ended Maths Activities

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Author :
Publisher :
ISBN 13 : 9780195517682
Total Pages : 112 pages
Book Rating : 4.5/5 (176 download)

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Book Synopsis Open-Ended Maths Activities by : Peter Sullivan

Download or read book Open-Ended Maths Activities written by Peter Sullivan and published by . This book was released on 2004 with total page 112 pages. Available in PDF, EPUB and Kindle. Book excerpt: Open-ended Maths Activities Second Edition is the revised and expanded edition of the best-selling title by Peter Sullivan and Pat Lilburn. It discusses a type of open-ended, problem-solving question called a 'good' question. These questions enhance learning, teaching and assessment and are a useful addition to a teacher's strategies. It includes: practical advice on how to create your own 'good' questions to use within the classroom organised by subject area and levels (upper, middle and junior) the sixteen topics covered are included within Number, Measurement, Space and Chance and Data.

Open-ended Maths Investigations

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Author :
Publisher : Blake Education
ISBN 13 : 9781921143540
Total Pages : 56 pages
Book Rating : 4.1/5 (435 download)

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Book Synopsis Open-ended Maths Investigations by : Ann Baker

Download or read book Open-ended Maths Investigations written by Ann Baker and published by Blake Education. This book was released on 2006 with total page 56 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Provides teachers with open-ended investigations matched to all strands of mathematics (number, money, measurement, space, chance and data, patterns and algebra.)" -- T.p. verso.

Good Questions

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Publisher : Teachers College Press
ISBN 13 : 0807753130
Total Pages : 241 pages
Book Rating : 4.8/5 (77 download)

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Book Synopsis Good Questions by : Marian Small

Download or read book Good Questions written by Marian Small and published by Teachers College Press. This book was released on 2012-01-01 with total page 241 pages. Available in PDF, EPUB and Kindle. Book excerpt: Expanded to include connections to Common Core State Standards, as well as National Council of Teachers of Mathematics (NCTM) standards, this critically acclaimed book will help every teacher and coach to meet the challenges of differentiating mathematics instruction in the K–8 classroom. In this bestseller, math education expert Marian Small explains two powerful and universal strategies that teachers can use across all math content: Open Questions and Parallel Tasks. Showing teachers how to get started and become expert with these strategies, Small also demonstrates more inclusive learning conversations that promote broader student participation and mathematical thinking required by CCSS. Specific strategies and examples for each grade band are organized around NCTM content strands: Number and Operations, Geometry, Measurement, Algebra, and Data Analysis and Probability.

Open-Ended Problems

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Author :
Publisher : John Wiley & Sons
ISBN 13 : 1118946057
Total Pages : 491 pages
Book Rating : 4.1/5 (189 download)

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Book Synopsis Open-Ended Problems by : James Patrick Abulencia

Download or read book Open-Ended Problems written by James Patrick Abulencia and published by John Wiley & Sons. This book was released on 2015-03-27 with total page 491 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a unique book with nearly 1000 problems and 50 case studies on open-ended problems in every key topic in chemical engineering that helps to better prepare chemical engineers for the future. The term "open-ended problem" basically describes an approach to the solution of a problem and/or situation for which there is not a unique solution. The Introduction to the general subject of open-ended problems is followed by 22 chapters, each of which addresses a traditional chemical engineering or chemical engineering-related topic. Each of these chapters contain a brief overview of the subject matter of concern, e.g., thermodynamics, which is followed by sample open-ended problems that have been solved (by the authors) employing one of the many possible approaches to the solutions. This is then followed by approximately 40-45 open-ended problems with no solutions (although many of the authors' solutions are available for those who adopt the book for classroom or training purposes). A reference section is included with the chapter's contents. Term projects, comprised of 12 additional chapter topics, complement the presentation. This book provides academic, industrial, and research personnel with the material that covers the principles and applications of open-ended chemical engineering problems in a thorough and clear manner. Upon completion of the text, the reader should have acquired not only a working knowledge of the principles of chemical engineering, but also (and more importantly) experience in solving open-ended problems. What many educators have learned is that the applications and implications of open-ended problems are not only changing professions, but also are moving so fast that many have not yet grasped their tremendous impact. The book drives home that the open-ended approach will revolutionize the way chemical engineers will need to operate in the future.

More Good Questions

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Author :
Publisher : Teachers College Press
ISBN 13 : 0807780987
Total Pages : 290 pages
Book Rating : 4.8/5 (77 download)

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Book Synopsis More Good Questions by : Marian Small

Download or read book More Good Questions written by Marian Small and published by Teachers College Press. This book was released on 2022 with total page 290 pages. Available in PDF, EPUB and Kindle. Book excerpt: Learn how to differentiate math instruction to help all students be successful learners in the secondary mathematics classroom. Featuring 89 new questions, this revised edition uses two powerful and universally applicable strategies—Open Questions and Parallel Tasks—to help teachers differentiate instruction with less difficulty and greater success. This popular book shows teachers how to get started and become expert with these strategies, demonstrating how to use more inclusive learning conversations to promote broader student participation and how to formatively assess understanding. Strategies and examples are organized around Big Ideas and reference common standards. With particular emphasis on algebra, chapters also address number and operations, geometry, measurement including trigonometry, and data analysis and probability. Updated with many new examples and expanded guidelines for teachers to create their own open tasks and questions, More Good Questions, Second Edition is designed to allow students to respond from their own expertise level and to also come together as a math community for the conceptual conversation around a math problem. Book Features: Underscores the rationale for differentiating instruction (DI) with nearly 300 specific examples for grades 6–12 math.Describes easy-to-implement strategies designed to overcome the most common DI problems that teachers encounter.Offers questions and tasks that teachers and coaches can adopt immediately or use as models to create their own, along with scaffolding and consolidating questions.Includes Teaching Tips sidebars and an organizing template at the end of each chapter to help teachers build new tasks and open questions.Shows how to create a more inclusive classroom learning community with mathematical talk that engages participants from all levels. PROFESSIONAL DEVELOPMENT: Visit Marian Small’s website onetwoinfinity.ca for in-person and online professional development.

Open-ended Problem Solving: Upper primary

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Author :
Publisher :
ISBN 13 : 9781921085086
Total Pages : 48 pages
Book Rating : 4.0/5 (85 download)

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Book Synopsis Open-ended Problem Solving: Upper primary by : Harry O'Brien

Download or read book Open-ended Problem Solving: Upper primary written by Harry O'Brien and published by . This book was released on 2006 with total page 48 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Mathematics Counts

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Author :
Publisher : Stationery Office Books (TSO)
ISBN 13 :
Total Pages : 332 pages
Book Rating : 4.:/5 (31 download)

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Book Synopsis Mathematics Counts by : Great Britain. Committee of Inquiry into the Teaching of Mathematics in Schools

Download or read book Mathematics Counts written by Great Britain. Committee of Inquiry into the Teaching of Mathematics in Schools and published by Stationery Office Books (TSO). This book was released on 1982 with total page 332 pages. Available in PDF, EPUB and Kindle. Book excerpt: SUMMARY: Recommendations on the teaching of mathematics in primary & secondary schools in England & Wales, with particular regard to the mathematics required in further & higher education, employment & adult life generally.

Open-Ended Maths Activities

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Author :
Publisher :
ISBN 13 : 9780195540994
Total Pages : 103 pages
Book Rating : 4.5/5 (49 download)

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Book Synopsis Open-Ended Maths Activities by : Peter Sullivan

Download or read book Open-Ended Maths Activities written by Peter Sullivan and published by . This book was released on 1997 with total page 103 pages. Available in PDF, EPUB and Kindle. Book excerpt: Teachers recognise the importance of asking questions which promote higher level thinking and a variety of thinking strategies. "Open-ended Maths Activities" discusses a type of open-ended, problem-solving question called a 'good' question. Because these questions enhance larning, teaching and assessment they are a useful addition to a teacher's strategies. Part One sets out the features of 'good' questions, gives practical advice on how to create your own 'good' questions and shows you how to use them in the classroom. Part Two. contains a selection of 'good' questions. They are clearly set out in three sections for each mathematical subject: upper, middle and junior.

Advanced Common Core Math Explorations

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Author :
Publisher : Taylor & Francis
ISBN 13 : 1000500012
Total Pages : 185 pages
Book Rating : 4.0/5 (5 download)

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Book Synopsis Advanced Common Core Math Explorations by : Jerry Burkhart

Download or read book Advanced Common Core Math Explorations written by Jerry Burkhart and published by Taylor & Francis. This book was released on 2021-09-03 with total page 185 pages. Available in PDF, EPUB and Kindle. Book excerpt: Students become mathematical adventurers in these challenging and engaging activities designed to deepen and extend their understanding of concepts from the Common Core State Standards in Mathematics. The investigations in this book stretch students' mathematical imaginations to their limits as they create and manipulate geometric figures, draw and analyze complex designs, and develop and apply measurement strategies to solve challenging real-world and mathematical problems. Each activity comes with extensive support for classroom implementation including learning goals, discussion guides, detailed solutions, and suggestions for extending the investigation. There is also a free supplemental e-book offering strategies for motivation, assessment, parent communication, and suggestions for using the materials in different learning environments. Grades 5-8

Make Just One Change

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Publisher : Harvard Education Press
ISBN 13 : 161250454X
Total Pages : 269 pages
Book Rating : 4.6/5 (125 download)

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Book Synopsis Make Just One Change by : Dan Rothstein

Download or read book Make Just One Change written by Dan Rothstein and published by Harvard Education Press. This book was released on 2011-09-01 with total page 269 pages. Available in PDF, EPUB and Kindle. Book excerpt: The authors of Make Just One Change argue that formulating one’s own questions is “the single most essential skill for learning”—and one that should be taught to all students. They also argue that it should be taught in the simplest way possible. Drawing on twenty years of experience, the authors present the Question Formulation Technique, a concise and powerful protocol that enables learners to produce their own questions, improve their questions, and strategize how to use them. Make Just One Change features the voices and experiences of teachers in classrooms across the country to illustrate the use of the Question Formulation Technique across grade levels and subject areas and with different kinds of learners.

Extending the Challenge in Mathematics

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Author :
Publisher : Corwin Press
ISBN 13 : 148336609X
Total Pages : 161 pages
Book Rating : 4.4/5 (833 download)

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Book Synopsis Extending the Challenge in Mathematics by : Linda Jensen Sheffield

Download or read book Extending the Challenge in Mathematics written by Linda Jensen Sheffield and published by Corwin Press. This book was released on 2002-10-22 with total page 161 pages. Available in PDF, EPUB and Kindle. Book excerpt: "The best source I have seen challenging mathematically talented students. The activities are thought provoking and enjoyable. I will recommend this book to parents as well as educators of mathematically talented students!" Sally Reis Past President of The National Association for Gifted Children Challenge, engage, and inspire your mathematically promising students! Combining theory and practice, Sheffield expertly guides the reader through the process of mathematical talent development from identifying students with mathematical potential, to finding and creating first-rate problems for exploration and strategies for assessment. The multi-level investigations in this book are designed to challenge students and inspire deeper and more original mathematical thinking in Number and Operations, Algebra, Geometry and Measurement, and Data Analysis and Probability. Each investigation is developed in the following easy-to-follow format: Relate—sets the stage for the investigation by connecting it to prior learning and the NCTM Principles and Standards Investigate—poses the initial problem to start students thinking about the investigation Evaluate and Communicate—provides solutions, probing assessment questions, and suggestions for teacher responses Create—offers ideas for extending and deepening the investigation, allowing even the most accomplished students to add depth and complexity to their reasoning Discussion—gives teachers hints on what to look for in student solutions, as well as ideas for encouraging students to dig more deeply into the mathematical concepts that are presented Mathematically promising students have the potential to become the leaders and problem solvers of the future. Extending the Challenge in Mathematics provides the practical tips and tools educators need to help their students develop this potential to the fullest.

Open-Ended Problems

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Author :
Publisher : John Wiley & Sons
ISBN 13 : 1118946065
Total Pages : 610 pages
Book Rating : 4.1/5 (189 download)

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Book Synopsis Open-Ended Problems by : James Patrick Abulencia

Download or read book Open-Ended Problems written by James Patrick Abulencia and published by John Wiley & Sons. This book was released on 2015-03-23 with total page 610 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a unique book with nearly 1000 problems and 50 case studies on open-ended problems in every key topic in chemical engineering that helps to better prepare chemical engineers for the future. The term "open-ended problem" basically describes an approach to the solution of a problem and/or situation for which there is not a unique solution. The Introduction to the general subject of open-ended problems is followed by 22 chapters, each of which addresses a traditional chemical engineering or chemical engineering-related topic. Each of these chapters contain a brief overview of the subject matter of concern, e.g., thermodynamics, which is followed by sample open-ended problems that have been solved (by the authors) employing one of the many possible approaches to the solutions. This is then followed by approximately 40-45 open-ended problems with no solutions (although many of the authors' solutions are available for those who adopt the book for classroom or training purposes). A reference section is included with the chapter's contents. Term projects, comprised of 12 additional chapter topics, complement the presentation. This book provides academic, industrial, and research personnel with the material that covers the principles and applications of open-ended chemical engineering problems in a thorough and clear manner. Upon completion of the text, the reader should have acquired not only a working knowledge of the principles of chemical engineering, but also (and more importantly) experience in solving open-ended problems. What many educators have learned is that the applications and implications of open-ended problems are not only changing professions, but also are moving so fast that many have not yet grasped their tremendous impact. The book drives home that the open-ended approach will revolutionize the way chemical engineers will need to operate in the future.

The Math Problems Notebook

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Author :
Publisher : Springer Science & Business Media
ISBN 13 : 0817645462
Total Pages : 234 pages
Book Rating : 4.8/5 (176 download)

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Book Synopsis The Math Problems Notebook by : Valentin Boju

Download or read book The Math Problems Notebook written by Valentin Boju and published by Springer Science & Business Media. This book was released on 2007-08-22 with total page 234 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume offers a collection of non-trivial, unconventional problems that require deep insight and imagination to solve. They cover many topics, including number theory, algebra, combinatorics, geometry and analysis. The problems start as simple exercises and become more difficult as the reader progresses through the book to become challenging enough even for the experienced problem solver. The introductory problems focus on the basic methods and tools while the advanced problems aim to develop problem solving techniques and intuition as well as promote further research in the area. Solutions are included for each problem.

Four Types of Problems

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Author :
Publisher :
ISBN 13 : 9781934109557
Total Pages : pages
Book Rating : 4.1/5 (95 download)

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Book Synopsis Four Types of Problems by : Arthur Smalley

Download or read book Four Types of Problems written by Arthur Smalley and published by . This book was released on 2018-09-15 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Good Questions for Math Teaching

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Author :
Publisher : Math Solutions
ISBN 13 : 0941355519
Total Pages : 113 pages
Book Rating : 4.9/5 (413 download)

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Book Synopsis Good Questions for Math Teaching by : Peter Sullivan

Download or read book Good Questions for Math Teaching written by Peter Sullivan and published by Math Solutions. This book was released on 2002 with total page 113 pages. Available in PDF, EPUB and Kindle. Book excerpt: Open-ended questions, coined ï¿1⁄2good questionsï¿1⁄2 by the authors, can prompt children to think creatively and critically. This useful book helps teachers define ï¿1⁄2good questions,ï¿1⁄2 offers teachers tips on how to create their own good questions, and presents a wide variety of sample questions that span 16 mathematical topics, including number, measurement, geometry, probability, and data.

Use of Open-ended Problems in Mathematics Classroom

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Author :
Publisher :
ISBN 13 :
Total Pages : 136 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis Use of Open-ended Problems in Mathematics Classroom by :

Download or read book Use of Open-ended Problems in Mathematics Classroom written by and published by . This book was released on 1997 with total page 136 pages. Available in PDF, EPUB and Kindle. Book excerpt: Tiivistelmä: Avoimien tehtävien käyttö matematiikan tunnilla.