Cognition-based Assessment & Teaching of Geometric Shapes

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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 Geometric Measurement

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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.

Cognition-based Assessment & Teaching of Fractions

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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.

Visualizing Mathematics

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Publisher : Springer
ISBN 13 : 3319987674
Total Pages : 378 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 378 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.

The Wiley Handbook of Cognition and Assessment

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Publisher : John Wiley & Sons
ISBN 13 : 1118956591
Total Pages : 649 pages
Book Rating : 4.1/5 (189 download)

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Book Synopsis The Wiley Handbook of Cognition and Assessment by : Andre A. Rupp

Download or read book The Wiley Handbook of Cognition and Assessment written by Andre A. Rupp and published by John Wiley & Sons. This book was released on 2016-11-21 with total page 649 pages. Available in PDF, EPUB and Kindle. Book excerpt: This state-of-the-art resource brings together the most innovative scholars and thinkers in the field of testing to capture the changing conceptual, methodological, and applied landscape of cognitively-grounded educational assessments. Offers a methodologically-rigorous review of cognitive and learning sciences models for testing purposes, as well as the latest statistical and technological know-how for designing, scoring, and interpreting results Written by an international team of contributors at the cutting-edge of cognitive psychology and educational measurement under the editorship of a research director at the Educational Testing Service and an esteemed professor of educational psychology at the University of Alberta as well as supported by an expert advisory board Covers conceptual frameworks, modern methodologies, and applied topics, in a style and at a level of technical detail that will appeal to a wide range of readers from both applied and scientific backgrounds Considers emerging topics in cognitively-grounded assessment, including applications of emerging socio-cognitive models, cognitive models for human and automated scoring, and various innovative virtual performance assessments

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

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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.

Measuring and Visualizing Space in Elementary Mathematics Learning

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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.

Learning Over Time

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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.

Future Curricular Trends in School Algebra And Geometry

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Publisher : IAP
ISBN 13 : 1617350087
Total Pages : 345 pages
Book Rating : 4.6/5 (173 download)

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Book Synopsis Future Curricular Trends in School Algebra And Geometry by : Zalman Usiskin

Download or read book Future Curricular Trends in School Algebra And Geometry written by Zalman Usiskin and published by IAP. This book was released on 2010-06-01 with total page 345 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Cognition-Based Assessment and Teaching Complete Six Volume Set

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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

Second Handbook of Research on Mathematics Teaching and Learning

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Publisher : IAP
ISBN 13 : 160752709X
Total Pages : 1380 pages
Book Rating : 4.6/5 (75 download)

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Book Synopsis Second Handbook of Research on Mathematics Teaching and Learning by : Frank K. Lester

Download or read book Second Handbook of Research on Mathematics Teaching and Learning written by Frank K. Lester and published by IAP. This book was released on 2007-02-01 with total page 1380 pages. Available in PDF, EPUB and Kindle. Book excerpt: The audience remains much the same as for the 1992 Handbook, namely, mathematics education researchers and other scholars conducting work in mathematics education. This group includes college and university faculty, graduate students, investigators in research and development centers, and staff members at federal, state, and local agencies that conduct and use research within the discipline of mathematics. The intent of the authors of this volume is to provide useful perspectives as well as pertinent information for conducting investigations that are informed by previous work. The Handbook should also be a useful textbook for graduate research seminars. In addition to the audience mentioned above, the present Handbook contains chapters that should be relevant to four other groups: teacher educators, curriculum developers, state and national policy makers, and test developers and others involved with assessment. Taken as a whole, the chapters reflects the mathematics education research community's willingness to accept the challenge of helping the public understand what mathematics education research is all about and what the relevance of their research fi ndings might be for those outside their immediate community.

Cognition-based Assessment and Teaching of Place Value

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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.

Cognition-based Assessment and Teaching of Multiplication and Division

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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.

Key Ideas in Teaching Mathematics

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Publisher : OUP Oxford
ISBN 13 : 0191643424
Total Pages : 359 pages
Book Rating : 4.1/5 (916 download)

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Book Synopsis Key Ideas in Teaching Mathematics by : Anne Watson

Download or read book Key Ideas in Teaching Mathematics written by Anne Watson and published by OUP Oxford. This book was released on 2013-02-21 with total page 359 pages. Available in PDF, EPUB and Kindle. Book excerpt: Big ideas in the mathematics curriculum for older school students, especially those that are hard to learn and hard to teach, are covered in this book. It will be a first port of call for research about teaching big ideas for students from 9-19 and also has implications for a wider range of students. These are the ideas that really matter, that students get stuck on, and that can be obstacles to future learning. It shows how students learn, why they sometimes get things wrong, and the strengths and pitfalls of various teaching approaches. Contemporary high-profile topics like modelling are included. The authors are experienced teachers, researchers and mathematics educators, and many teachers and researchers have been involved in the thinking behind this book, funded by the Nuffield Foundation. An associated website, hosted by the Nuffield Foundation, summarises the key messages in the book and connects them to examples of classroom tasks that address important learning issues about particular mathematical ideas.

Improving Instruction in Geometry and Measurement

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Publisher : Teachers College Press
ISBN 13 : 9780807745311
Total Pages : 166 pages
Book Rating : 4.7/5 (453 download)

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Book Synopsis Improving Instruction in Geometry and Measurement by : Margaret Schwan Smith

Download or read book Improving Instruction in Geometry and Measurement written by Margaret Schwan Smith and published by Teachers College Press. This book was released on 2005-01-01 with total page 166 pages. Available in PDF, EPUB and Kindle. Book excerpt: Helping students develop an understanding of important mathematical ideas is a persistent challenge for teachers. In this book, one of a three-volume set, well-known mathematics educators Margaret Smith, Edward A. Silver, and Mary Kay Stein provide teachers of mathematics the support they need to improve their instruction. They focus on ways to engage upper elementary, middle school, and high school students in thinking, reasoning, and problem solving to build their mathematics understanding and proficiency. The content focus of Volume One is rational numbers and proportionality. Using materials that were developed under the NSF-funded COMET (Cases of Mathematics to Enhance Teaching) program, each volume in the set features cases from urban, middle school classrooms with ethnically, racially, and linguistically diverse student populations. Each case illustrates an instructional episode in the classroom of a teacher who is implementing standards-based instruction, the teachers' perspective, including their thoughts and actions as they interact with students and with key aspects of mathematical content, cognitively challenging mathematics activities that are built around samples of authentic classroom practice., and facilitation chapters to help professional developers "teach" the cases, including specific guidelines for facilitating discussions and suggestions for connecting the ideas presented in the cases to a teacher's own practice. As a complete set, this resource provides a basis on which to build a comprehensive professional development program to improve mathematics instruction and student learning.

Knowing What Students Know

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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.

Covering and Surrounding

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Publisher :
ISBN 13 :
Total Pages : 100 pages
Book Rating : 4.:/5 (144 download)

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Book Synopsis Covering and Surrounding by : Glenda Lappan

Download or read book Covering and Surrounding written by Glenda Lappan and published by . This book was released on 2006 with total page 100 pages. Available in PDF, EPUB and Kindle. Book excerpt: