Cognition-based Assessment & Teaching of Geometric Shapes

Cognition-based Assessment & Teaching of Geometric Shapes PDF Author: Michael T. Battista
Publisher: Heinemann Educational Books
ISBN: 9780325043517
Category : Education
Languages : en
Pages : 0

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Book Description
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 & Teaching of Geometric Shapes

Cognition-based Assessment & Teaching of Geometric Shapes PDF Author: Michael T. Battista
Publisher: Heinemann Educational Books
ISBN: 9780325043517
Category : Education
Languages : en
Pages : 0

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Book Description
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 Geometric Measurement

Cognition-based Assessment and Teaching of Geometric Measurement PDF Author: Michael T. Battista
Publisher: Heinemann Educational Books
ISBN: 9780325043487
Category : Education
Languages : en
Pages : 0

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Book Description
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 & Teaching of Fractions

Cognition-based Assessment & Teaching of Fractions PDF Author: Michael T. Battista
Publisher: Heinemann Educational Books
ISBN: 9780325043456
Category : Education
Languages : en
Pages : 0

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Book Description
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 & Teaching of Addition and Subtraction

Cognition-based Assessment & Teaching of Addition and Subtraction PDF Author: Michael T. Battista
Publisher: Heinemann Educational Books
ISBN: 9780325012711
Category : Education
Languages : en
Pages : 0

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Book Description
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 of Place Value

Cognition-based Assessment and Teaching of Place Value PDF Author: Michael Battista
Publisher: Heinemann Educational Books
ISBN: 9780325043432
Category : Education
Languages : en
Pages : 0

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Book Description
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.

Cognition-based Assessment and Teaching of Multiplication and Division

Cognition-based Assessment and Teaching of Multiplication and Division PDF Author: Michael T. Battista
Publisher: Heinemann Educational Books
ISBN: 9780325043449
Category : Education
Languages : en
Pages : 0

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Book Description
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.

Measuring and Visualizing Space in Elementary Mathematics Learning

Measuring and Visualizing Space in Elementary Mathematics Learning PDF Author: Richard Lehrer
Publisher: Taylor & Francis
ISBN: 1000839257
Category : Education
Languages : en
Pages : 256

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Book Description
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.

Learning Over Time

Learning Over Time PDF Author: Alan P. Maloney
Publisher: IAP
ISBN: 1623965691
Category : Education
Languages : en
Pages : 288

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Book Description
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.

Visualizing Mathematics

Visualizing Mathematics PDF Author: Kelly S. Mix
Publisher: Springer
ISBN: 3319987674
Category : Education
Languages : en
Pages : 378

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Book Description
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.

Future Curricular Trends in School Algebra And Geometry

Future Curricular Trends in School Algebra And Geometry PDF Author: Zalman Usiskin
Publisher: IAP
ISBN: 1617350087
Category : Education
Languages : en
Pages : 347

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Book Description
This volume contains papers from the Second International Curriculum Conference sponsored by the Center for the Study of Mathematics Curriculum (CSMC). The intended audience includes policy makers, curriculum developers, researchers, teachers, teacher trainers, and anyone else interested in school mathematics curricula.