Designing And Using Mathematical Tasks

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Designing And Using Mathematical Tasks

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Author : John Mason
language : en
Publisher:
Release Date : 2006

Designing And Using Mathematical Tasks written by John Mason and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006 with Mathematics categories.

Mathematics seems, on the face of it, a cut and dried subject. But does being able to do mathematics mean: Being competent at techniques Understanding how ideas and techniques fit together Using basic principles in problemsolving Something else or all of these? This book addresses these questions through a definition of learning as transformation in the way that learners perceive or think. Learners increase their choice of actions and develop their powers to think mathematically and their competence and fluency in using specific techniques and language and their appreciation of how ideas fit together.

Designing And Using Mathematical Tasks

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Author : John Mason
language : en
Publisher:
Release Date : 2006

Designing And Using Mathematical Tasks written by John Mason and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006 with Education categories.

Does being able to "do" mathematics mean being competent at techniques and understanding how ideas and techniques fit together? By being given appropriate tasks, learners develop their powers to think mathematically and learn to appreciate how ideas fit together. (Education/Teaching)

Mathematical Tasks The Bridge Between Teaching And Learning

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Author : Chris McGrane
language : en
Publisher: Hachette UK
Release Date : 2020-10-01

Mathematical Tasks The Bridge Between Teaching And Learning written by Chris McGrane and has been published by Hachette UK this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-10-01 with Education categories.

If we want our pupils to develop fluency, understanding and the ability to solve complex problems, then it is vital that teachers develop the ability to select, adapt and design appropriate mathematical tasks. In 'Mathematical Tasks: The Bridge Between Teaching and Learning', Chris McGrane and Mark McCourt a range of practical approaches, strategies and principles behind the design and effective use of tasks in the mathematics classroom that lead to all pupils becoming successful learners. First-hand interviews with world class mathematics education experts and practicing teachers bring to life the ideas behind how tasks can act as a bridge between what the teacher wants the pupil to make sense of and what the pupil actually does makes sense of; tasks are how we enable pupils to enact mathematics - it is only by being mathematical that pupils can truly make connections across mathematical ideas and understand the bigger picture. This is a book for classroom teachers. Chris McGrane offers a range of practical examples for nurturing deep learning in mathematics that can be adapted and embedded in one's own classroom practice. This is also a book for those who are interested in the theory behind tasks. Chris and his interviewees examine the key role tasks play in shaping learning, teaching, curriculum and assessment. Suitable for teachers at all stages in their careers and teachers are encouraged to return to the book from time to time over the years to notice how their use of tasks in the classroom changes as they themselves develop.

Hypothetical Learning Trajectories

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Author : Douglas H. Clements
language : en
Publisher: Routledge
Release Date : 2012-12-06

Hypothetical Learning Trajectories written by Douglas H. Clements and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Education categories.

The purpose of this special issue is to present several research perspectives on learning trajectories with the intention of encouraging the broader community to reflect on, better define, adopt, adapt, or challenge the concept. The issue begins by briefly introducing learning trajectories. The remaining articles provide elaboration, examples, and discussion of the construct. They purposefully are intended to be illustrative, exploratory, and provocative with regard to learning trajectories construct; they are not a set of verification studies.

Rich And Engaging Mathematical Tasks

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Author : Glenda Lappan
language : en
Publisher: National Council of Teachers of English
Release Date : 2012

Rich And Engaging Mathematical Tasks written by Glenda Lappan and has been published by National Council of Teachers of English this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012 with Mathematics categories.

"Articles from Teaching children mathematics; Mathematics teaching in the middle school; Mathematics teacher; Student math notes; the 2001, 2002, and 2003 NCTM yearbooks; and Classroom activities for learning and teaching measurement."

Fundamental Constructs In Mathematics Education

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Author : Sue Johnston-Wilder
language : en
Publisher: Routledge
Release Date : 2004-01-22

Fundamental Constructs In Mathematics Education written by Sue Johnston-Wilder and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-01-22 with Education categories.

Fundamental Constructs in Mathematics Education is a unique sourcebook which has been crafted from a collection of classic tasks, extracts and texts that have been quoted repeatedly in mathematics education literature. Linked together by the editors'' narrative, the book provides a fascinating examination of key constructs in mathematics education. The book is divided into two parts. The first part examines ''thinking about the learner'' and includes the following constructs: constructivisms, activity theory and didactics. Beginning with a chapter dedicated to the classic tasks used by researchers to ''probe'' learners'' understanding, readers are encouraged to try these theories themselves with learners and be knowledgeable when they encounter them in other writing. The second part focuses on ''thinking and teaching'' and includes issues of getting started, keeping going and bringing to a conclusion. Bringing together writing from Balacheff, Brousseau, Bruner, Cobb, Comfrey, Freudenthal, Greeno, Marton, Piaget, Schon, Vygotsky and many others, this unique examination of constructs in mathematics education will be a valuable resource for anyone reading literature related to learning mathematics be they a teacher, adviser or a student on a masters or PhD course.

Mathematical Mindsets

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Author : Jo Boaler
language : en
Publisher: John Wiley & Sons
Release Date : 2015-10-12

Mathematical Mindsets written by Jo Boaler and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-10-12 with Education categories.

Banish math anxiety and give students of all ages a clear roadmap to success Mathematical Mindsets provides practical strategies and activities to help teachers and parents show all children, even those who are convinced that they are bad at math, that they can enjoy and succeed in math. Jo Boaler—Stanford researcher, professor of math education, and expert on math learning—has studied why students don't like math and often fail in math classes. She's followed thousands of students through middle and high schools to study how they learn and to find the most effective ways to unleash the math potential in all students. There is a clear gap between what research has shown to work in teaching math and what happens in schools and at home. This book bridges that gap by turning research findings into practical activities and advice. Boaler translates Carol Dweck's concept of 'mindset' into math teaching and parenting strategies, showing how students can go from self-doubt to strong self-confidence, which is so important to math learning. Boaler reveals the steps that must be taken by schools and parents to improve math education for all. Mathematical Mindsets: Explains how the brain processes mathematics learning Reveals how to turn mistakes and struggles into valuable learning experiences Provides examples of rich mathematical activities to replace rote learning Explains ways to give students a positive math mindset Gives examples of how assessment and grading policies need to change to support real understanding Scores of students hate and fear math, so they end up leaving school without an understanding of basic mathematical concepts. Their evasion and departure hinders math-related pathways and STEM career opportunities. Research has shown very clear methods to change this phenomena, but the information has been confined to research journals—until now. Mathematical Mindsets provides a proven, practical roadmap to mathematics success for any student at any age.

Challenging Mathematical Tasks

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Author : Peter Sullivan
language : en
Publisher:
Release Date : 2017-08-29

Challenging Mathematical Tasks written by Peter Sullivan and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-08-29 with Critical thinking categories.

Challenging Mathematical Tasks supports the idea that students learn best when they work on problems that they do not yet know how to solve. Peter Sullivan's research shows that many students do not fear challenges in mathematics, but welcome them. And rather than having teachers instruct them, these students prefer to work out solutions for themselves.Challenging Mathematical Tasks:includes activities that allow for sustained thinking, decision-making and risk-taking by the studentsfeatures a 'Learning Focus', 'Key Mathematical Language', 'Pedagogical Considerations', 'Enabling and Extending Prompts' for each task, plus 'Supplementary Tasks' and 'Possible Solutions'is written by a well-established expert in the field of teaching and learning mathematicsfollows a set structure to help students approach and work through the tasks.For a preview, see the Sample Pages tab.

Task Design In Mathematics Education

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Author : Anne Watson
language : en
Publisher: Springer
Release Date : 2015-10-26

Task Design In Mathematics Education written by Anne Watson and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-10-26 with Education categories.

*THIS BOOK IS AVAILABLE AS OPEN ACCESS BOOK ON SPRINGERLINK* This open access book is the product of ICMI Study 22 Task Design in Mathematics Education. The study offers a state-of-the-art summary of relevant research and goes beyond that to develop new insights and new areas of knowledge and study about task design. The authors represent a wide range of countries and cultures and are leading researchers, teachers and designers. In particular, the authors develop explicit understandings of the opportunities and difficulties involved in designing and implementing tasks and of the interfaces between the teaching, researching and designing roles – recognising that these might be undertaken by the same person or by completely separate teams. Tasks generate the activity through which learners meet mathematical concepts, ideas, strategies and learn to use and develop mathematical thinking and modes of enquiry. Teaching includes the selection, modification, design, sequencing, installation, observation and evaluation of tasks. The book illustrates how task design is core to effective teaching, whether the task is a complex, extended, investigation or a small part of a lesson; whether it is part of a curriculum system, such as a textbook, or promotes free standing activity; whether the task comes from published source or is devised by the teacher or the student.

Five Practices For Orchestrating Productive Mathematics Discussions

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Author : Margaret Schwan Smith
language : en
Publisher:
Release Date : 2011

Five Practices For Orchestrating Productive Mathematics Discussions written by Margaret Schwan Smith and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011 with Communication in mathematics categories.

Describes five practices for productive mathematics discussions, including anticipating, monitoring, selecting, sequencing, and connecting.