Open Ended Problems

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Open Middle Math

Author : Robert Kaplinsky
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

Author : Peter Sullivan
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

Author : Ann Baker
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.

Open-Ended Problems

Author : James Patrick Abulencia
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.

Good Questions

Author : Marian Small
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 Problem Solving: Upper primary

Author : Harry O'Brien
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:

Open-Ended Maths Activities

Author : Peter Sullivan
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.

Mathematics Counts

Author : Great Britain. Committee of Inquiry into the Teaching of Mathematics in Schools
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 Problems

Author : James Patrick Abulencia
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.

Advanced Common Core Math Explorations

Author : Jerry Burkhart
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

Author : Dan Rothstein
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

Author : Linda Jensen Sheffield
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.

The Math Problems Notebook

Author : Valentin Boju
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

Author : Arthur Smalley
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:

Discipline-Based Education Research

Author : National Research Council
Publisher : National Academies Press
ISBN 13 : 0309254140
Total Pages : 282 pages
Book Rating : 4.3/5 (92 download)

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Book Synopsis Discipline-Based Education Research by : National Research Council

Download or read book Discipline-Based Education Research written by National Research Council and published by National Academies Press. This book was released on 2012-08-27 with total page 282 pages. Available in PDF, EPUB and Kindle. Book excerpt: The National Science Foundation funded a synthesis study on the status, contributions, and future direction of discipline-based education research (DBER) in physics, biological sciences, geosciences, and chemistry. DBER combines knowledge of teaching and learning with deep knowledge of discipline-specific science content. It describes the discipline-specific difficulties learners face and the specialized intellectual and instructional resources that can facilitate student understanding. Discipline-Based Education Research is based on a 30-month study built on two workshops held in 2008 to explore evidence on promising practices in undergraduate science, technology, engineering, and mathematics (STEM) education. This book asks questions that are essential to advancing DBER and broadening its impact on undergraduate science teaching and learning. The book provides empirical research on undergraduate teaching and learning in the sciences, explores the extent to which this research currently influences undergraduate instruction, and identifies the intellectual and material resources required to further develop DBER. Discipline-Based Education Research provides guidance for future DBER research. In addition, the findings and recommendations of this report may invite, if not assist, post-secondary institutions to increase interest and research activity in DBER and improve its quality and usefulness across all natural science disciples, as well as guide instruction and assessment across natural science courses to improve student learning. The book brings greater focus to issues of student attrition in the natural sciences that are related to the quality of instruction. Discipline-Based Education Research will be of interest to educators, policy makers, researchers, scholars, decision makers in universities, government agencies, curriculum developers, research sponsors, and education advocacy groups.

The SAGE Encyclopedia of Communication Research Methods

Author : Mike Allen
Publisher : SAGE Publications
ISBN 13 : 1483381420
Total Pages : 2013 pages
Book Rating : 4.4/5 (833 download)

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Book Synopsis The SAGE Encyclopedia of Communication Research Methods by : Mike Allen

Download or read book The SAGE Encyclopedia of Communication Research Methods written by Mike Allen and published by SAGE Publications. This book was released on 2017-04-11 with total page 2013 pages. Available in PDF, EPUB and Kindle. Book excerpt: Communication research is evolving and changing in a world of online journals, open-access, and new ways of obtaining data and conducting experiments via the Internet. Although there are generic encyclopedias describing basic social science research methodologies in general, until now there has been no comprehensive A-to-Z reference work exploring methods specific to communication and media studies. Our entries, authored by key figures in the field, focus on special considerations when applied specifically to communication research, accompanied by engaging examples from the literature of communication, journalism, and media studies. Entries cover every step of the research process, from the creative development of research topics and questions to literature reviews, selection of best methods (whether quantitative, qualitative, or mixed) for analyzing research results and publishing research findings, whether in traditional media or via new media outlets. In addition to expected entries covering the basics of theories and methods traditionally used in communication research, other entries discuss important trends influencing the future of that research, including contemporary practical issues students will face in communication professions, the influences of globalization on research, use of new recording technologies in fieldwork, and the challenges and opportunities related to studying online multi-media environments. Email, texting, cellphone video, and blogging are shown not only as topics of research but also as means of collecting and analyzing data. Still other entries delve into considerations of accountability, copyright, confidentiality, data ownership and security, privacy, and other aspects of conducting an ethical research program. Features: 652 signed entries are contained in an authoritative work spanning four volumes available in choice of electronic or print formats. Although organized A-to-Z, front matter includes a Reader’s Guide grouping entries thematically to help students interested in a specific aspect of communication research to more easily locate directly related entries. Back matter includes a Chronology of the development of the field of communication research; a Resource Guide to classic books, journals, and associations; a Glossary introducing the terminology of the field; and a detailed Index. Entries conclude with References/Further Readings and Cross-References to related entries to guide students further in their research journeys. The Index, Reader’s Guide themes, and Cross-References combine to provide robust search-and-browse in the e-version.