Children S Mathematics 4 15 Learning From Errors And Misconceptions

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Children S Mathematics 4 15 Learning From Errors And Misconceptions
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Author : Ryan, Julie
language : en
Publisher: McGraw-Hill Education (UK)
Release Date : 2007-04-01
Children S Mathematics 4 15 Learning From Errors And Misconceptions written by Ryan, Julie and has been published by McGraw-Hill Education (UK) this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-04-01 with Education categories.
This work uses data from the authors' own research on children's performance, errors and misconceptions across the mathematics curriculum. It develops concepts for teachers to use in organising their understanding and knowledge of children's mathematics, and concludes with theoretical accounts of learning and teaching.
Student Misconceptions And Errors In Physics And Mathematics
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Author : Teresa Neidorf
language : en
Publisher: Springer Nature
Release Date : 2019-10-30
Student Misconceptions And Errors In Physics And Mathematics written by Teresa Neidorf and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-10-30 with Education categories.
This open access report explores the nature and extent of students’ misconceptions and misunderstandings related to core concepts in physics and mathematics and physics across grades four, eight and 12. Twenty years of data from the IEA’s Trends in International Mathematics and Science Study (TIMSS) and TIMSS Advanced assessments are analyzed, specifically for five countries (Italy, Norway, Russian Federation, Slovenia, and the United States) who participated in all or almost all TIMSS and TIMSS Advanced assessments between 1995 and 2015. The report focuses on students’ understandings related to gravitational force in physics and linear equations in mathematics. It identifies some specific misconceptions, errors, and misunderstandings demonstrated by the TIMSS Advanced grade 12 students for these core concepts, and shows how these can be traced back to poor foundational development of these concepts in earlier grades. Patterns in misconceptions and misunderstandings are reported by grade, country, and gender. In addition, specific misconceptions and misunderstandings are tracked over time, using trend items administered in multiple assessment cycles. The study and associated methodology may enable education systems to help identify specific needs in the curriculum, improve inform instruction across grades and also raise possibilities for future TIMSS assessment design and reporting that may provide more diagnostic outcomes.
How To Study For A Mathematics Degree
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Author : Lara Alcock
language : en
Publisher: OUP Oxford
Release Date : 2012-11-08
How To Study For A Mathematics Degree written by Lara Alcock and has been published by OUP Oxford this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-11-08 with Mathematics categories.
Every year, thousands of students go to university to study mathematics (single honours or combined with another subject). Many of these students are extremely intelligent and hardworking, but even the best will, at some point, struggle with the demands of making the transition to advanced mathematics. Some have difficulty adjusting to independent study and to learning from lectures. Other struggles, however, are more fundamental: the mathematics shifts in focus from calculation to proof, so students are expected to interact with it in different ways. These changes need not be mysterious - mathematics education research has revealed many insights into the adjustments that are necessary - but they are not obvious and they do need explaining. This no-nonsense book translates these research-based insights into practical advice for a student audience. It covers every aspect of studying for a mathematics degree, from the most abstract intellectual challenges to the everyday business of interacting with lecturers and making good use of study time. Part 1 provides an in-depth discussion of advanced mathematical thinking, and explains how a student will need to adapt and extend their existing skills in order to develop a good understanding of undergraduate mathematics. Part 2 covers study skills as these relate to the demands of a mathematics degree. It suggests practical approaches to learning from lectures and to studying for examinations while also allowing time for a fulfilling all-round university experience. The first subject-specific guide for students, this friendly, practical text will be essential reading for anyone studying mathematics at university.
Primary Mathematics
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Author : Penelope Baker
language : en
Publisher: Cambridge University Press
Release Date : 2023-09-07
Primary Mathematics written by Penelope Baker and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-09-07 with Education categories.
Primary Mathematics: Integrating Theory with Practice is a comprehensive introduction to teaching mathematics in Australian primary schools. Closely aligned with the Australian Curriculum, it provides a thorough understanding of measurement, geometry, patterns and algebra, data and statistics, and chance and probability. The fourth edition provides support for educators in key aspects of teaching: planning, assessment, digital technologies, diversity in the classroom and integrating mathematics content with other learning areas. It also features a new chapter on the role of education support in the mathematics classroom. Each chapter has been thoroughly revised and is complemented by classroom snapshots demonstrating practical application of theories, activities to further understanding and reflection questions to guide learning. New in this edition are 'Concepts to consider', which provide a guided explanation and further discussion of key concepts to support pre- and in-service teachers' learning and teaching of the fundamentals of mathematics.
How To Study As A Mathematics Major
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Author : Lara Alcock
language : en
Publisher: Oxford University Press
Release Date : 2013-01-10
How To Study As A Mathematics Major written by Lara Alcock and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-01-10 with Juvenile Nonfiction categories.
This no-nonsense book translates mathematics education research-based insights into practical advice for a student audience. It covers every aspect of studying for a mathematics major, from the most abstract intellectual challenges to the everyday business of interacting with lecturers and making good use of study time.
Big Ideas In Primary Mathematics
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Author : Robert Newell
language : en
Publisher: SAGE
Release Date : 2021-04-07
Big Ideas In Primary Mathematics written by Robert Newell and has been published by SAGE this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-04-07 with Education categories.
This book explains ‘big ideas’ in mathematics in simple terms supported by classroom examples to show how they can be applied in primary schools to enable learning. Carefully linked to the National Curriculum, it covers all the major concepts so you can develop your own mathematical subject knowledge and to give you the confidence to deepen your understanding of the children you teach. This second edition includes: · A new ‘links with mastery’ feature showing how to teach with mastery in mind · A new glossary of key terms · New big ideas and activities throughout
Mastery Mathematics For Primary Teachers
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Author : Robert Newell
language : en
Publisher: SAGE
Release Date : 2019-05-14
Mastery Mathematics For Primary Teachers written by Robert Newell and has been published by SAGE this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-05-14 with Education categories.
This book explores how mathematical mastery, influenced by East Asian teaching approaches, can be developed in a UK context to enhance teaching and to deepen children′s mathematical knowledge. It gives guidance on using physical resources to demonstrate key concepts, extended examples on how to teach different curriculum topics and how to plan for small-step progression. Key coverage includes: - Key terminology in mastery-style teaching - The challenges in implementing a mastery approach - The use of manipulative resources for deeper understanding - An analysis of mastery and related schemes of work currently available - Assessing mastery - How to apply mastery concepts in the early years
Primary Mathematics Teaching For Understanding
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Author : Barmby, Patrick
language : en
Publisher: McGraw-Hill Education (UK)
Release Date : 2009-09-01
Primary Mathematics Teaching For Understanding written by Barmby, Patrick and has been published by McGraw-Hill Education (UK) this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-09-01 with Education categories.
This book addresses the particular areas of mathematics within the primary curriculum that teachers find difficult to teach and in which children struggle to achieve.. .It begins with introductory sections on how children learn mathematics and is then organised on a subject area basis, dealing with the teaching of particular maths topics. Key topics addressed include rounding and measuring, means and medians, fractions, negative numbers, commutative and associative laws in number operations, and shape and space. .Within each chapter, the authors examine the themes of representing, reasoning and communicating, drawing out both the subject knowledge and ways of teaching each topic. A reference section for studies drawn upon is provided at the end of each chapter.....
Learning To Teach Mathematics In The Secondary School
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Author : Sue Johnston-Wilder
language : en
Publisher: Routledge
Release Date : 2016-09-13
Learning To Teach Mathematics In The Secondary School 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 2016-09-13 with Education categories.
Learning to Teach Mathematics in the Secondary School combines theory and practice to present a broad introduction to the opportunities and challenges of teaching mathematics in the secondary school classroom. This fourth edition has been fully updated to reflect the latest changes to the curriculum and research in the field, taking into account key developments in teacher training and education, including examinations and assessment. Written specifically with the new and student teacher in mind, the book covers a wide range of issues related to the teaching of mathematics, such as: why we teach mathematics the place of mathematics in the National Curriculum planning, teaching and assessing for mathematics learning how to communicate mathematically using digital technology to advance mathematical learning working with students with special educational needs post-16 teaching the importance of professional development the affective dimension when learning mathematics, including motivation, confidence and resilience Already a major text for many university teaching courses, this revised edition features a glossary of useful terms and carefully designed tasks to prompt critical reflection and support thinking and writing up to Masters Level. Issues of professional development are also examined, as well as a range of teaching approaches and styles from whole-class strategies to personalised learning, helping you to make the most of school experience, during your training and beyond. Designed for use as a core textbook, Learning to Teach Mathematics in the Secondary School provides essential guidance and advice for all those who aspire to be effective mathematics teachers.
Primary Mathematics
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Author : Penelope Baker
language : en
Publisher: Cambridge University Press
Release Date : 2023-09-07
Primary Mathematics written by Penelope Baker and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-09-07 with Education categories.
Primary Mathematics: Integrating Theory with Practice is a comprehensive introduction to teaching mathematics in Australian primary schools. Closely aligned with the Australian Curriculum, it provides a thorough understanding of measurement, geometry, patterns and algebra, data and statistics, and chance and probability. The fourth edition provides support for educators in key aspects of teaching: planning, assessment, digital technologies, diversity in the classroom and integrating mathematics content with other learning areas. It also features a new chapter on the role of education support in the mathematics classroom. Each chapter has been thoroughly revised and is complemented by classroom snapshots demonstrating practical application of theories, activities to further understanding and reflection questions to guide learning. New in this edition are 'Concepts to consider', which provide a guided explanation and further discussion of key concepts to support pre- and in-service teachers' learning and teaching of the fundamentals of mathematics.