Assessing Reasoning and Problem Solving

Assessing Reasoning and Problem Solving

Author: Stephen Krulik

Publisher: Allyn & Bacon

Published: 1998

Total Pages: 244

ISBN-13:

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In more and more schools, students are now being assessed not only on traditional (algorithmic and computational) math skills, but also on how-and how well-they handle reasoning and problem solving. However, until now, these additional skills have been difficult to assess in an objective, accurate and efficient way. But not any more.This book's "comprehensive assessment" approach includes the traditional paper-and-pencil tests plus relatively new ways (e.g., portfolios, journals, observations, interviews, projects, performance tasks, rubrics) to assess what students know about math, and how they reason, solve problems and communicate about it. This unique new handbook provides everything teachers need-background information, problems for various grade levels, detailed answers, forms, teaching suggestions-to assess students throughout the semester or at any time...easily, accurately and effectively!Elementary school teachers.


Book Synopsis Assessing Reasoning and Problem Solving by : Stephen Krulik

Download or read book Assessing Reasoning and Problem Solving written by Stephen Krulik and published by Allyn & Bacon. This book was released on 1998 with total page 244 pages. Available in PDF, EPUB and Kindle. Book excerpt: In more and more schools, students are now being assessed not only on traditional (algorithmic and computational) math skills, but also on how-and how well-they handle reasoning and problem solving. However, until now, these additional skills have been difficult to assess in an objective, accurate and efficient way. But not any more.This book's "comprehensive assessment" approach includes the traditional paper-and-pencil tests plus relatively new ways (e.g., portfolios, journals, observations, interviews, projects, performance tasks, rubrics) to assess what students know about math, and how they reason, solve problems and communicate about it. This unique new handbook provides everything teachers need-background information, problems for various grade levels, detailed answers, forms, teaching suggestions-to assess students throughout the semester or at any time...easily, accurately and effectively!Elementary school teachers.


The New Sourcebook for Teaching Reasoning and Problem Solving in Elementary School

The New Sourcebook for Teaching Reasoning and Problem Solving in Elementary School

Author: Stephen Krulik

Publisher: Allyn & Bacon

Published: 1995

Total Pages: 0

ISBN-13: 9780205148264

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The growing emphasis on developing the mathematical reasoning and problem solving skills of young students makes this an ideal resource for elementary school teachers. It provides new and seasoned teachers with classroom-tested, hands-on materials, including over 200 reproducibles and black-line masters as well as practical suggestions for practice, evaluation and diagnostic assessment of reasoning and problem solving skills. The book is logically organized - first providing teachers with an overview of key concepts and basic suggestions for getting the most success out of what is offered. Following chapters unfold with classroom-ready activities organized according to the five stages of the heuristic process. Individual and group challenges encourage students to Read and Think, Explore and Plan, Select a Strategy, Find an Answer, and Reflect and Extend. In addition, there are collections of Non-Routine Problems, and of Open Ended Problems Requiring an Extended Response. Answers are provided to all problems, including effective strategies for accepting and evaluating answers to open ended problems.


Book Synopsis The New Sourcebook for Teaching Reasoning and Problem Solving in Elementary School by : Stephen Krulik

Download or read book The New Sourcebook for Teaching Reasoning and Problem Solving in Elementary School written by Stephen Krulik and published by Allyn & Bacon. This book was released on 1995 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: The growing emphasis on developing the mathematical reasoning and problem solving skills of young students makes this an ideal resource for elementary school teachers. It provides new and seasoned teachers with classroom-tested, hands-on materials, including over 200 reproducibles and black-line masters as well as practical suggestions for practice, evaluation and diagnostic assessment of reasoning and problem solving skills. The book is logically organized - first providing teachers with an overview of key concepts and basic suggestions for getting the most success out of what is offered. Following chapters unfold with classroom-ready activities organized according to the five stages of the heuristic process. Individual and group challenges encourage students to Read and Think, Explore and Plan, Select a Strategy, Find an Answer, and Reflect and Extend. In addition, there are collections of Non-Routine Problems, and of Open Ended Problems Requiring an Extended Response. Answers are provided to all problems, including effective strategies for accepting and evaluating answers to open ended problems.


The New Sourcebook for Teaching Reasoning and Problem Solving in Junior and Senior High School

The New Sourcebook for Teaching Reasoning and Problem Solving in Junior and Senior High School

Author: Stephen Krulik

Publisher: Allyn & Bacon

Published: 1996

Total Pages: 360

ISBN-13:

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Krulik and Rudnick explore methods for teaching and testing problem solving and reasoning, then present over 100 problems for use with students as well as problems that can be used as diagnostic tools.


Book Synopsis The New Sourcebook for Teaching Reasoning and Problem Solving in Junior and Senior High School by : Stephen Krulik

Download or read book The New Sourcebook for Teaching Reasoning and Problem Solving in Junior and Senior High School written by Stephen Krulik and published by Allyn & Bacon. This book was released on 1996 with total page 360 pages. Available in PDF, EPUB and Kindle. Book excerpt: Krulik and Rudnick explore methods for teaching and testing problem solving and reasoning, then present over 100 problems for use with students as well as problems that can be used as diagnostic tools.


Knowing What Students Know

Knowing What Students Know

Author: National Research Council

Publisher: National Academies Press

Published: 2001-10-27

Total Pages: 383

ISBN-13: 0309293227

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Education is a hot topic. From the stage of presidential debates to tonight's dinner table, it is an issue that most Americans are deeply concerned about. While there are many strategies for improving the educational process, we need a way to find out what works and what doesn't work as well. Educational assessment seeks to determine just how well students are learning and is an integral part of our quest for improved education. The nation is pinning greater expectations on educational assessment than ever before. We look to these assessment tools when documenting whether students and institutions are truly meeting education goals. But we must stop and ask a crucial question: What kind of assessment is most effective? At a time when traditional testing is subject to increasing criticism, research suggests that new, exciting approaches to assessment may be on the horizon. Advances in the sciences of how people learn and how to measure such learning offer the hope of developing new kinds of assessments-assessments that help students succeed in school by making as clear as possible the nature of their accomplishments and the progress of their learning. Knowing What Students Know essentially explains how expanding knowledge in the scientific fields of human learning and educational measurement can form the foundations of an improved approach to assessment. These advances suggest ways that the targets of assessment-what students know and how well they know it-as well as the methods used to make inferences about student learning can be made more valid and instructionally useful. Principles for designing and using these new kinds of assessments are presented, and examples are used to illustrate the principles. Implications for policy, practice, and research are also explored. With the promise of a productive research-based approach to assessment of student learning, Knowing What Students Know will be important to education administrators, assessment designers, teachers and teacher educators, and education advocates.


Book Synopsis Knowing What Students Know by : National Research Council

Download or read book Knowing What Students Know written by National Research Council and published by National Academies Press. This book was released on 2001-10-27 with total page 383 pages. Available in PDF, EPUB and Kindle. Book excerpt: Education is a hot topic. From the stage of presidential debates to tonight's dinner table, it is an issue that most Americans are deeply concerned about. While there are many strategies for improving the educational process, we need a way to find out what works and what doesn't work as well. Educational assessment seeks to determine just how well students are learning and is an integral part of our quest for improved education. The nation is pinning greater expectations on educational assessment than ever before. We look to these assessment tools when documenting whether students and institutions are truly meeting education goals. But we must stop and ask a crucial question: What kind of assessment is most effective? At a time when traditional testing is subject to increasing criticism, research suggests that new, exciting approaches to assessment may be on the horizon. Advances in the sciences of how people learn and how to measure such learning offer the hope of developing new kinds of assessments-assessments that help students succeed in school by making as clear as possible the nature of their accomplishments and the progress of their learning. Knowing What Students Know essentially explains how expanding knowledge in the scientific fields of human learning and educational measurement can form the foundations of an improved approach to assessment. These advances suggest ways that the targets of assessment-what students know and how well they know it-as well as the methods used to make inferences about student learning can be made more valid and instructionally useful. Principles for designing and using these new kinds of assessments are presented, and examples are used to illustrate the principles. Implications for policy, practice, and research are also explored. With the promise of a productive research-based approach to assessment of student learning, Knowing What Students Know will be important to education administrators, assessment designers, teachers and teacher educators, and education advocates.


How to Assess Higher-Order Thinking Skills in Your Classroom

How to Assess Higher-Order Thinking Skills in Your Classroom

Author: Susan M. Brookhart

Publisher: ASCD

Published: 2010

Total Pages: 169

ISBN-13: 141661172X

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Covers how to develop and use test questions and other assessments that reveal how well students can analyze, reason, solve problems, and think creatively.


Book Synopsis How to Assess Higher-Order Thinking Skills in Your Classroom by : Susan M. Brookhart

Download or read book How to Assess Higher-Order Thinking Skills in Your Classroom written by Susan M. Brookhart and published by ASCD. This book was released on 2010 with total page 169 pages. Available in PDF, EPUB and Kindle. Book excerpt: Covers how to develop and use test questions and other assessments that reveal how well students can analyze, reason, solve problems, and think creatively.


Test of Problem Solving 2

Test of Problem Solving 2

Author: Linda Bowers

Publisher:

Published: 2007-01-01

Total Pages: 127

ISBN-13: 9780760607121

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Book Synopsis Test of Problem Solving 2 by : Linda Bowers

Download or read book Test of Problem Solving 2 written by Linda Bowers and published by . This book was released on 2007-01-01 with total page 127 pages. Available in PDF, EPUB and Kindle. Book excerpt:


Problem Solving in Mathematics, Grades 3-6

Problem Solving in Mathematics, Grades 3-6

Author: Alfred S. Posamentier

Publisher: Corwin Press

Published: 2009-03-18

Total Pages: 305

ISBN-13: 1412960665

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"Demonstrates problem solving strategies with solutions and teaching notes and allows the teacher to create a collection of problems to fit a particular grade level."-Janice L. Richardson, Associate Professor and Education Coordinator, Department of MathematicsElon UniversityHelp students succeed as problem solvers in and out of the classroom! Problem solving skills are critical to students' success in mathematics, but the techniques can't be caught; they must be taught. Based on the premise that educators must take a deliberate approach to the teaching of problem solving skills, this book helps teachers engage students in the process. Problem Solving in Mathematics, Grades 3-6 stresses the importance of problem solving in mathematics and presents nine strategies that students can use to solve problems, such as working backwards, finding a pattern, making a drawing, or solving a simpler equivalent problem. Each chapter demonstrates how teachers can:Apply the strategies to problems at different grade levels Incorporate these strategies into a mathematics program Understand how each strategy can be applied to real-life situations Make each strategy an integral part of students' thinking processesWith helpful teaching notes, sample problems for students that fit into any mathematics curriculum, and step-by-step solutions to sample problems, this book is perfect for teachers who want their students to succeed in mathematics!


Book Synopsis Problem Solving in Mathematics, Grades 3-6 by : Alfred S. Posamentier

Download or read book Problem Solving in Mathematics, Grades 3-6 written by Alfred S. Posamentier and published by Corwin Press. This book was released on 2009-03-18 with total page 305 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Demonstrates problem solving strategies with solutions and teaching notes and allows the teacher to create a collection of problems to fit a particular grade level."-Janice L. Richardson, Associate Professor and Education Coordinator, Department of MathematicsElon UniversityHelp students succeed as problem solvers in and out of the classroom! Problem solving skills are critical to students' success in mathematics, but the techniques can't be caught; they must be taught. Based on the premise that educators must take a deliberate approach to the teaching of problem solving skills, this book helps teachers engage students in the process. Problem Solving in Mathematics, Grades 3-6 stresses the importance of problem solving in mathematics and presents nine strategies that students can use to solve problems, such as working backwards, finding a pattern, making a drawing, or solving a simpler equivalent problem. Each chapter demonstrates how teachers can:Apply the strategies to problems at different grade levels Incorporate these strategies into a mathematics program Understand how each strategy can be applied to real-life situations Make each strategy an integral part of students' thinking processesWith helpful teaching notes, sample problems for students that fit into any mathematics curriculum, and step-by-step solutions to sample problems, this book is perfect for teachers who want their students to succeed in mathematics!


Problem-Solving Strategies for Efficient and Elegant Solutions, Grades 6-12

Problem-Solving Strategies for Efficient and Elegant Solutions, Grades 6-12

Author: Alfred S. Posamentier

Publisher: Corwin Press

Published: 2008-03-20

Total Pages: 281

ISBN-13: 1452295573

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"The authors have provided a unique, strategy-focused resource supported by a wealth of engaging examples that mathematics teachers can readily use to help students develop a more purposeful, systematic, and successful approach to problem solving." —Howard W. Smith, Superintendent Public Schools of the Tarrytowns, Sleepy Hollow, NY "Helps both new and veteran teachers better understand the nature of problem solving as a critical mathematics process. The authors present in very simple terms the strategies that are the backbone of mathematics instruction. This indispensable material is useful at all levels, from basic stages to advanced student work to the development of top problem solvers." —Daniel Jaye, Principal Bergen County Academies, Hackensack, NJ Help students become skilled and confident problem solvers! Demonstrating there is always more than one approach to solving a problem, well-known authors and educators Alfred S. Posamentier and Stephen Krulik present ten basic strategies that are effective for finding solutions to a wide range of mathematics problems. These tried-and-true methods—including working backwards, finding a pattern, adopting a different point of view, solving a simpler analogous problem, and making a visual representation—make problem solving easier, neater, and more understandable for students as well as teachers. Providing numerous sample problems that illustrate how mathematics teachers and specialists can incorporate these techniques into their mathematics curriculum, this updated edition also includes: A variety of new problems that show how to use the strategies References to current NCTM standards Solutions to the problems in each chapter Extensive discussions of the empowering strategies used to solve sample problems The second edition of Problem-Solving Strategies for Efficient and Elegant Solutions, Grades 6–12 helps teachers develop students′ creative problem-solving skills for success in and out of school.


Book Synopsis Problem-Solving Strategies for Efficient and Elegant Solutions, Grades 6-12 by : Alfred S. Posamentier

Download or read book Problem-Solving Strategies for Efficient and Elegant Solutions, Grades 6-12 written by Alfred S. Posamentier and published by Corwin Press. This book was released on 2008-03-20 with total page 281 pages. Available in PDF, EPUB and Kindle. Book excerpt: "The authors have provided a unique, strategy-focused resource supported by a wealth of engaging examples that mathematics teachers can readily use to help students develop a more purposeful, systematic, and successful approach to problem solving." —Howard W. Smith, Superintendent Public Schools of the Tarrytowns, Sleepy Hollow, NY "Helps both new and veteran teachers better understand the nature of problem solving as a critical mathematics process. The authors present in very simple terms the strategies that are the backbone of mathematics instruction. This indispensable material is useful at all levels, from basic stages to advanced student work to the development of top problem solvers." —Daniel Jaye, Principal Bergen County Academies, Hackensack, NJ Help students become skilled and confident problem solvers! Demonstrating there is always more than one approach to solving a problem, well-known authors and educators Alfred S. Posamentier and Stephen Krulik present ten basic strategies that are effective for finding solutions to a wide range of mathematics problems. These tried-and-true methods—including working backwards, finding a pattern, adopting a different point of view, solving a simpler analogous problem, and making a visual representation—make problem solving easier, neater, and more understandable for students as well as teachers. Providing numerous sample problems that illustrate how mathematics teachers and specialists can incorporate these techniques into their mathematics curriculum, this updated edition also includes: A variety of new problems that show how to use the strategies References to current NCTM standards Solutions to the problems in each chapter Extensive discussions of the empowering strategies used to solve sample problems The second edition of Problem-Solving Strategies for Efficient and Elegant Solutions, Grades 6–12 helps teachers develop students′ creative problem-solving skills for success in and out of school.


Mathematical Reasoning

Mathematical Reasoning

Author: Linda Brumbaugh

Publisher: Critical Thinking Company

Published: 2006

Total Pages: 250

ISBN-13: 9780894558849

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Book Synopsis Mathematical Reasoning by : Linda Brumbaugh

Download or read book Mathematical Reasoning written by Linda Brumbaugh and published by Critical Thinking Company. This book was released on 2006 with total page 250 pages. Available in PDF, EPUB and Kindle. Book excerpt:


Assessing Higher Order Thinking Skills

Assessing Higher Order Thinking Skills

Author: C. Philip Kearney

Publisher:

Published: 1986

Total Pages: 82

ISBN-13:

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Book Synopsis Assessing Higher Order Thinking Skills by : C. Philip Kearney

Download or read book Assessing Higher Order Thinking Skills written by C. Philip Kearney and published by . This book was released on 1986 with total page 82 pages. Available in PDF, EPUB and Kindle. Book excerpt: