Cognition Based Assessment And Teaching Of Geometric Measurement

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Cognition-based Assessment & Teaching of Fractions

Author : Michael T. Battista
Publisher : Heinemann Educational Books
ISBN 13 : 9780325043456
Total Pages : 0 pages
Book Rating : 4.0/5 (434 download)

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Book Synopsis Cognition-based Assessment & Teaching of Fractions by : Michael T. Battista

Download or read book Cognition-based Assessment & Teaching of Fractions written by Michael T. Battista and published by Heinemann Educational Books. This book was released on 2012 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Designed to work with any curriculum, Cognition-Based Assessment and Teaching will enable you to better understand and respond to your students' learning needs and help you choose instructional activities that are best for them. Michael Battista offers a learning-progressions model for maximizing each student's progress&— helping students who are behind catch up, preventing future failures from occurring, and helping students who are ready move quickly ahead. Cognition-Based Assessment and Teaching will help you will all three tiers in RTI. Battista's approach emphasizes three key components that support students' mathematical sense making and proficiency: Determining students' levels of sophistication in reasoning Assessing and monitoring the development of students' understanding of core ideas Differentiating instruction to meet individual students' learning needs Using a research-based framework that describes the development of students' thinking and learning in terms of levels of sophistication, a “cognitive terrain” that includes ascents and plateaus, Battista shows how teachers can build on their students' reasoning with instruction that keeps them moving ever upwards.--Publisher.

Cognition-Based Assessment and Teaching Complete Six Volume Set

Author : Michael Battista
Publisher :
ISBN 13 : 9780325043463
Total Pages : pages
Book Rating : 4.0/5 (434 download)

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Book Synopsis Cognition-Based Assessment and Teaching Complete Six Volume Set by : Michael Battista

Download or read book Cognition-Based Assessment and Teaching Complete Six Volume Set written by Michael Battista and published by . This book was released on 2012-10-31 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: ""For many students, traditional instruction is so distant from their needs that each day they make little or no learning progress and fall farther and farther behind curriculum demands. In contrast, Cognition-Based Assessment offers a framework to support teaching that enables ALL students to understand, make personal sense of, and become proficient with mathematics." ""-"Michael Battista Designed to work with any curriculum, Cognition-Based Assessment and Teaching will enable you to better understand and respond to your students' learning needs and help you choose instructional activities that are best for them. Michael Battista offers a powerful, learning-progressions model for maximizing each student's progress- helping students who are behind catch up, preventing future failures from occurring, and helping students who are ready move quickly ahead. Cognition-Based Assessment and Teaching will help you will all three tiers in RTI. Battista's approach emphasizes three key components that support students' mathematical sense making and proficiency: Determining students' levels of sophistication in reasoning Assessing and monitoring the development of students' understanding of core ideas Differentiating instruction to meet individual students' learning needs Using a research-based framework that describes the development of students' thinking and learning in terms of levels of sophistication, a "cognitive terrain" that includes ascents and plateaus, Battista shows how teachers can build on their students' reasoning with instruction that keeps them moving ever upwards. Also Available: Addition and Subtraction Multiplication and Division Place Value

Introduction to Configural Frequency Analysis

Author : Alexander von Eye
Publisher : Cambridge University Press
ISBN 13 : 9780521380904
Total Pages : 306 pages
Book Rating : 4.3/5 (89 download)

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Book Synopsis Introduction to Configural Frequency Analysis by : Alexander von Eye

Download or read book Introduction to Configural Frequency Analysis written by Alexander von Eye and published by Cambridge University Press. This book was released on 1990-05-25 with total page 306 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a comprehensive introduction to configural frequency analysis, its rationale, and various modifications. When more individuals than expected display a pattern of characteristics, these individuals belong to a type. When fewer individuals than expected display a pattern they belong to an antitype. This book deals with methods that focus on groups of subjects in contingency tables. A many-faceted statistical method, CFA is useful whenever categorical variables are analyzed. The original contribution of this text is the linking of CFA to log-linear modeling and the general linear model, enabling the reader to relate CFA to a well-known statistical background.

Cognition-based Assessment and Teaching of Multiplication and Division

Author : Michael T. Battista
Publisher : Heinemann Educational Books
ISBN 13 : 9780325043449
Total Pages : 0 pages
Book Rating : 4.0/5 (434 download)

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Book Synopsis Cognition-based Assessment and Teaching of Multiplication and Division by : Michael T. Battista

Download or read book Cognition-based Assessment and Teaching of Multiplication and Division written by Michael T. Battista and published by Heinemann Educational Books. This book was released on 2012 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Designed to work with any curriculum, Cognition-Based Assessment and Teaching will enable you to better understand and respond to your students' learning needs and help you choose instructional activities that are best for them. Michael Battista offers a learning-progressions model for maximizing each student's progress&— helping students who are behind catch up, preventing future failures from occurring, and helping students who are ready move quickly ahead. Cognition-Based Assessment and Teaching will help you will all three tiers in RTI. Battista's approach emphasizes three key components that support students' mathematical sense making and proficiency: determining students' levels of sophistication in reasoning; assessing and monitoring the development of students' understanding of core ideas; and, differentiating instruction to meet individual students' learning needs. Using a research-based framework that describes the development of students' thinking and learning in terms of levels of sophistication, a “cognitive terrain” that includes ascents and plateaus, Battista shows how teachers can build on their students' reasoning with instruction that keeps them moving ever upwards.--Publisher.

Cognition-based Assessment & Teaching of Geometric Shapes

Author : Michael T. Battista
Publisher : Heinemann Educational Books
ISBN 13 : 9780325043517
Total Pages : 0 pages
Book Rating : 4.0/5 (435 download)

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Book Synopsis Cognition-based Assessment & Teaching of Geometric Shapes by : Michael T. Battista

Download or read book Cognition-based Assessment & Teaching of Geometric Shapes written by Michael T. Battista and published by Heinemann Educational Books. This book was released on 2012 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Designed to work with any curriculum, Cognition-Based Assessment and Teaching will enable you to better understand and respond to your students' learning needs and help you choose instructional activities that are best for them.

Cognition-based Assessment and Teaching of Place Value

Author : Michael Battista
Publisher : Heinemann Educational Books
ISBN 13 : 9780325043432
Total Pages : 0 pages
Book Rating : 4.0/5 (434 download)

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Book Synopsis Cognition-based Assessment and Teaching of Place Value by : Michael Battista

Download or read book Cognition-based Assessment and Teaching of Place Value written by Michael Battista and published by Heinemann Educational Books. This book was released on 2012 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Designed to work with any curriculum, this title will enable teachers to better understand and respond to their students' learning needs and help readers choose instructional activities that are best for them.

Mathematics Learning in Early Childhood

Author : National Research Council
Publisher : National Academies Press
ISBN 13 : 0309147433
Total Pages : 399 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Mathematics Learning in Early Childhood by : National Research Council

Download or read book Mathematics Learning in Early Childhood written by National Research Council and published by National Academies Press. This book was released on 2009-11-13 with total page 399 pages. Available in PDF, EPUB and Kindle. Book excerpt: Early childhood mathematics is vitally important for young children's present and future educational success. Research demonstrates that virtually all young children have the capability to learn and become competent in mathematics. Furthermore, young children enjoy their early informal experiences with mathematics. Unfortunately, many children's potential in mathematics is not fully realized, especially those children who are economically disadvantaged. This is due, in part, to a lack of opportunities to learn mathematics in early childhood settings or through everyday experiences in the home and in their communities. Improvements in early childhood mathematics education can provide young children with the foundation for school success. Relying on a comprehensive review of the research, Mathematics Learning in Early Childhood lays out the critical areas that should be the focus of young children's early mathematics education, explores the extent to which they are currently being incorporated in early childhood settings, and identifies the changes needed to improve the quality of mathematics experiences for young children. This book serves as a call to action to improve the state of early childhood mathematics. It will be especially useful for policy makers and practitioners-those who work directly with children and their families in shaping the policies that affect the education of young children.

Special Issues in Early Childhood Mathematics Education Research

Author :
Publisher : BRILL
ISBN 13 : 9004510680
Total Pages : 323 pages
Book Rating : 4.0/5 (45 download)

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Book Synopsis Special Issues in Early Childhood Mathematics Education Research by :

Download or read book Special Issues in Early Childhood Mathematics Education Research written by and published by BRILL. This book was released on 2022-02-14 with total page 323 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book, 23 contributors offer new insights on key issues in mathematics education in early childhood.

Knowing What Students Know

Author : National Research Council
Publisher : National Academies Press
ISBN 13 : 0309293227
Total Pages : 383 pages
Book Rating : 4.3/5 (92 download)

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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.

Cognition-based Assessment and Teaching of Geometric Measurement

Author : Michael T. Battista
Publisher : Heinemann Educational Books
ISBN 13 : 9780325043487
Total Pages : 0 pages
Book Rating : 4.0/5 (434 download)

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Book Synopsis Cognition-based Assessment and Teaching of Geometric Measurement by : Michael T. Battista

Download or read book Cognition-based Assessment and Teaching of Geometric Measurement written by Michael T. Battista and published by Heinemann Educational Books. This book was released on 2012 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Battista offers a powerful, learning-progressions model for maximizing each student's progress--helping students who are behind catch up, preventing future failures from occurring, and helping students who are ready move quickly ahead.

The Cambridge Handbook of Cognition and Education

Author : John Dunlosky
Publisher : Cambridge University Press
ISBN 13 : 1108245102
Total Pages : 1130 pages
Book Rating : 4.1/5 (82 download)

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Book Synopsis The Cambridge Handbook of Cognition and Education by : John Dunlosky

Download or read book The Cambridge Handbook of Cognition and Education written by John Dunlosky and published by Cambridge University Press. This book was released on 2019-02-07 with total page 1130 pages. Available in PDF, EPUB and Kindle. Book excerpt: This Handbook reviews a wealth of research in cognitive and educational psychology that investigates how to enhance learning and instruction to aid students struggling to learn and to advise teachers on how best to support student learning. The Handbook includes features that inform readers about how to improve instruction and student achievement based on scientific evidence across different domains, including science, mathematics, reading and writing. Each chapter supplies a description of the learning goal, a balanced presentation of the current evidence about the efficacy of various approaches to obtaining that learning goal, and a discussion of important future directions for research in this area. It is the ideal resource for researchers continuing their study of this field or for those only now beginning to explore how to improve student achievement.

Researching and Using Progressions (Trajectories) in Mathematics Education

Author :
Publisher : BRILL
ISBN 13 : 9004396446
Total Pages : 255 pages
Book Rating : 4.0/5 (43 download)

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Book Synopsis Researching and Using Progressions (Trajectories) in Mathematics Education by :

Download or read book Researching and Using Progressions (Trajectories) in Mathematics Education written by and published by BRILL. This book was released on 2019-02-04 with total page 255 pages. Available in PDF, EPUB and Kindle. Book excerpt: The relationship between research and practice has long been an area of interest for researchers, policy makers, and practitioners alike. One obvious arena where mathematics education research can contribute to practice is the design and implementation of school mathematics curricula. This observation holds whether we are talking about curriculum as a set of broad, measurable competencies (i.e., standards) or as a comprehensive set of resources for teaching and learning mathematics. Impacting practice in this way requires fine-grained research that is focused on individual student learning trajectories and intimate analyses of classroom pedagogical practices as well as large-scale research that explores how student populations typically engage with the big ideas of mathematics over time. Both types of research provide an empirical basis for identifying what aspects of mathematics are important and how they develop over time. This book has its origins in independent but parallel work in Australia and the United States over the last 10 to 15 years. It was prompted by a research seminar at the 2017 PME Conference in Singapore that brought the contributors to this volume together to consider the development and use of evidence-based learning progressions/trajectories in mathematics education, their basis in theory, their focus and scale, and the methods used to identify and validate them. In this volume they elaborate on their work to consider what is meant by learning progressions/trajectories and explore a range of issues associated with their development, implementation, evaluation, and on-going review. Implications for curriculum design and future research in this field are also considered. Contributors are: Michael Askew, Tasos Barkatsas, Michael Belcher, Rosemary Callingham, Doug Clements, Jere Confrey, Lorraine Day, Margaret Hennessey, Marj Horne, Alan Maloney, William McGowan, Greg Oates, Claudia Orellana, Julie Sarama, Rebecca Seah, Meetal Shah, Dianne Siemon, Max Stephens, Ron Tzur, and Jane Watson.

Measuring and Visualizing Space in Elementary Mathematics Learning

Author : Richard Lehrer
Publisher : Taylor & Francis
ISBN 13 : 1000839257
Total Pages : 256 pages
Book Rating : 4.0/5 (8 download)

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Book Synopsis Measuring and Visualizing Space in Elementary Mathematics Learning by : Richard Lehrer

Download or read book Measuring and Visualizing Space in Elementary Mathematics Learning written by Richard Lehrer and published by Taylor & Francis. This book was released on 2023-03-31 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt: Measuring and Visualizing Space in Elementary Mathematics Learning explores the development of elementary students’ understanding of the mathematics of measure, and demonstrates how measurement can serve as an anchor for supporting a deeper understanding of number operations and rational numbers. The concept of measurement is centrally implicated in a number of mathematical operations, yet is not often given the placement it deserves in the elementary mathematics curriculum. By drawing on K-5 classroom research, authors Lehrer and Schauble have been able to articulate a learning progression that describes benchmarks of student learning about measure in length, angle, area, volume, and rational number, exploring related concepts, classroom experiences, and instructional practices at each stage. Offering a unique, research driven resource for helping students develop a deep understanding of measurement to further enhance mathematical understanding, as well as further learning in other STEM disciplines; the book will be relevant for scholars, teacher educators, and specialists in math education. The book is accompanied by online resources developed for practitioners, including instructional guides, examples of student thinking, and other teacher-focused materials, helping clarify how to bring concepts of measure and rational number to life in classrooms.

Proceedings Of The 14th International Congress On Mathematical Education (In 2 Volumes)

Author : Jianpan Wang
Publisher : World Scientific
ISBN 13 : 9811287198
Total Pages : 1609 pages
Book Rating : 4.8/5 (112 download)

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Book Synopsis Proceedings Of The 14th International Congress On Mathematical Education (In 2 Volumes) by : Jianpan Wang

Download or read book Proceedings Of The 14th International Congress On Mathematical Education (In 2 Volumes) written by Jianpan Wang and published by World Scientific. This book was released on 2024-06-07 with total page 1609 pages. Available in PDF, EPUB and Kindle. Book excerpt: The International Congress on Mathematical Education (ICME) is the largest international conference on mathematics education in the world. This quadrennial event is organized under the auspices of the International Commission on Mathematical Instruction (ICMI). This book, the Proceedings of ICME-14, presents the latest trends in mathematics education research and mathematics teaching practices at all levels. Each chapter covers an extensive range of topics in mathematics education.Volume I consists of 4 Plenary Lectures, 3 Plenary Panels, 5 Lectures of Awardees, 4 Survey Teams, 62 Topic Study Groups, 13 Discussion Groups, 20 Workshops, a Thematic Afternoon, and an Early Career Researcher Day. Plenary Lectures recognize substantial and continuing contributions to the growth of the field of Mathematics Education. Plenary Panels address three major challenges currently facing mathematics educators across the globe. The Survey Teams have a particular emphasis on identifying and characterizing important new knowledge, recent developments, new perspectives, and emergent issues. The Topic Study Groups provides a coverage of important topics in mathematics education.Volume II consists of 50 invited lectures which present the work and reflections of both established and emerging researchers from around the world. These lectures cover a wide spectrum of topics, themes and issues that reflect the latest challenges and development in the field of mathematics education.

Visualizing Mathematics

Author : Kelly S. Mix
Publisher : Springer
ISBN 13 : 3319987674
Total Pages : 382 pages
Book Rating : 4.3/5 (199 download)

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Book Synopsis Visualizing Mathematics by : Kelly S. Mix

Download or read book Visualizing Mathematics written by Kelly S. Mix and published by Springer. This book was released on 2018-12-07 with total page 382 pages. Available in PDF, EPUB and Kindle. Book excerpt: This unique volume surveys recent research on spatial visualization in mathematics in the fields of cognitive psychology and mathematics education. The general topic of spatial skill and mathematics has a long research tradition, but has been gaining attention in recent years, although much of this research happens in disconnected subfields. This volume aims to promote interaction between researchers, not only to provide a more comprehensive view of spatial visualization and mathematics, but also to stimulate innovative new directions in research based on a more coordinated effort. It features ten chapters authored by leading researchers in cognitive psychology and mathematics education, as well as includes dynamic commentaries by mathematics education researchers on cognitive psychology chapters, and by cognitive psychologists on mathematics education chapters. Among the topics included: From intuitive spatial measurement to understanding of units. Spatial reasoning: a critical problem-solving tool in children’s mathematics strategy tool-kit. What processes underlie the relation between spatial skill and mathematics? Learning with and from drawing in early years geometry. Communication of visual information and complexity of reasoning by mathematically talented students. Visualizing Mathematics makes substantial progress in understanding the role of spatial reasoning in mathematical thought and in connecting various subfields of research. It promises to make an impact among psychologists, education scholars, and mathematics educators in the convergence of psychology and education.

Early Childhood Mathematics Education Research

Author : Julie Sarama
Publisher : Routledge
ISBN 13 : 1135592497
Total Pages : 440 pages
Book Rating : 4.1/5 (355 download)

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Book Synopsis Early Childhood Mathematics Education Research by : Julie Sarama

Download or read book Early Childhood Mathematics Education Research written by Julie Sarama and published by Routledge. This book was released on 2009-04-01 with total page 440 pages. Available in PDF, EPUB and Kindle. Book excerpt: This important new book synthesizes relevant research on the learning of mathematics from birth into the primary grades from the full range of these complementary perspectives. At the core of early math experts Julie Sarama and Douglas Clements's theoretical and empirical frameworks are learning trajectories—detailed descriptions of children’s thinking as they learn to achieve specific goals in a mathematical domain, alongside a related set of instructional tasks designed to engender those mental processes and move children through a developmental progression of levels of thinking. Rooted in basic issues of thinking, learning, and teaching, this groundbreaking body of research illuminates foundational topics on the learning of mathematics with practical and theoretical implications for all ages. Those implications are especially important in addressing equity concerns, as understanding the level of thinking of the class and the individuals within it, is key in serving the needs of all children.

Learning Over Time

Author : Alan P. Maloney
Publisher : IAP
ISBN 13 : 1623965691
Total Pages : 287 pages
Book Rating : 4.6/5 (239 download)

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Book Synopsis Learning Over Time by : Alan P. Maloney

Download or read book Learning Over Time written by Alan P. Maloney and published by IAP. This book was released on 2014 with total page 287 pages. Available in PDF, EPUB and Kindle. Book excerpt: The driving forces behind mathematics learning trajectories is the need to understand how children actually learn and make sense of mathematics-how they progress from prior knowledge, through intermediate understandings, to the mathematics target understandings-and how to use these insights to improve instruction and student learning. In this book, readers will come to understand what learning trajectories are, the research and methodology that are necessary for developing them, and gain insight into potential applications of learning trajectories. A synthesis and research outcome in their own right, learning trajectories provide detailed description of instructionally-grounded development of mathematical concepts and reasoning from the perspective of student learning, and, overall, building on decades of accumulated experience in mathematics education research. However, their greater importance may lie in their potential as frameworks that contribute an unprecedented coherence across classroom instruction, professional development, standards, and assessment, by focusing squarely on conceptual understanding and reasoning instead of assessment-driven procedural knowledge. This potential was sufficiently compelling as an organizing framework to have been cited as a basis for the Common Core mathematics standards, the new mathematics learning expectations that are now consistent across most of the United States. (Among the conference attendees were the writers of the Common Core State Standards for Mathematics, at the beginning of the Standards drafting process.) This book is an outgrowth of a conference on learning trajectories, hosted in 2009 at North Carolina State University, which examined research on learning trajectories. An overarching message of the chapters in this volume is that learning trajectories, by focusing on how children's mathematical reasoning develops, are coming into their own as a rigorous underpinning for both instruction and accountability. Some of the learning scientists featured in this volume have played major roles learning trajectories' evolution--from small-scale day-to-day conjectures by individual teachers, to systematic research endeavors that teachers and scientists alike can use to interpret standards, plan instruction, and formatively assess student work. The work in this volume will be of interest to mathematics educators, teachers, and professional development specialists.