Teaching Mathematics with Insight PDF Download

Author: Anne D. Cockburn
Publisher: Routledge
ISBN: 1135709742
Category : Education
Languages : en
Pages : 148

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Book Description
The Initial Teacher Training National Curriculum says that student teachers should be trained to analyse pupil's errors in maths and act accordingly. This is the only book that supports teachers' analysis of mathematical errors and helps them predict potential problems and propose solutions for themselves. Written in an accessible style, Teaching Mathematics with Insight guides the primary and early years teacher, and the student teacher through a series of processes that will enable them to become more effective and enlightened teachers of early mathematics. The processes include: unravelling the complexities of a concept, for example subtraction, by considering its component parts and the knowledge required to acquire understanding; watching children work to observe common mistakes and analyse the underlying misconceptions; discussing the concepts with other adults.

Author: Anthony Orton
Publisher: A&C Black
ISBN: 1847144489
Category : Education
Languages : en
Pages : 203

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Book Description
Providing essential guidance and background information about teaching mathematics, this book is intended particularly for teachers who do not regard themselves as specialists in mathematics. It deals with issues of learning and teaching, including the delivery of content and the place of problems and investigations. Difficulties which pupils encounter in connection with language and symbols form important sections of the overall discussion of how to enhance learning. The curriculum is considered in brief under the headings of number, algebra, shape and space, and data handling, and special attention is paid to the topic approach and mathematics across the curriculum. The assessment of mathematical attainment is also dealt with thoroughly. Teachers will find this book an invaluable companion in their day-to-day teaching.

Author: Erna Yackel
Publisher: Springer Science & Business Media
ISBN: 9048197295
Category : Education
Languages : en
Pages : 255

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Book Description
Our objective is to publish a book that lays out the theoretical constructs and research methodologies within mathematics education that have been developed by Paul Cobb and explains the process of their development. We propose to do so by including papers in which Cobb introduced new theoretical perspectives and methodologies into the literature, each preceded by a substantive accompanying introductory paper that explains the motivation/rationale for developing the new perspectives and/or methodologies and the processes through which they were developed, and Cobb’s own retrospective comments. In this way the book provides the reader with heretofore unpublished material that lays out in considerable detail the issues and problems that Cobb has confronted in his work, that, from his viewpoint, required theoretical and methodological shifts/advances and provides insight into how he has achieved the shifts/advances. The result will be a volume that, in addition to explaining Cobb’s contributions to the field of mathematics education, also provides the reader with insight into what is involved in developing an aggressive and evolving research program. When Cobb confronts problems and issues in his work that cannot be addressed using his existing theories and frameworks, he looks to other fields for theoretical inspiration. A critical feature of Cobb’s work is that in doing so, he consciously appropriates and adapts ideas from these other fields to the purpose of supporting processes of learning and teaching mathematics; He does not simply accept the goals or motives of those fields. As a result, Cobb reconceptualizes and reframes issues and concepts so that they result in new ways of investigating, exploring, and explaining phenomena that he encounters in the practical dimensions of his work, which include working in classrooms, with teachers, and with school systems. The effect is that the field of mathematics education is altered. Other researchers have found his "new ways of looking" useful to them. And they, in turn, adapt these ideas for their own use. The complexity of many of the ideas that Cobb has introduced into the field of mathematics education can lead to a multiplicity of interpretations by practitioners and by other researchers, based on their own experiential backgrounds. Therefore, by detailing the development of Cobb’s work, including the tensions involved in coming to grips with and reconciling apparently contrasting perspectives, the book will shed additional light on the processes of reconceptualization and thus help the reader to understand the reasons, mechanisms, and outcomes of researchers’ constant pursuit of new insights.

Author: Signe E. Kastberg
Publisher: IAP
ISBN: 164113027X
Category : Mathematics
Languages : en
Pages : 375

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Book Description
Building Support for Scholarly Practices in Mathematics Methods is the product of collaborations among over 40 mathematics teacher educators (MTEs) who teach mathematics methods courses for prospective PreK?12 teachers in many different institutional contexts and structures. Each chapter unpacks ways in which MTEs use theoretical perspectives to inform their construction of goals, activities designed to address those goals, facilitation of activities, and ways in which MTEs make sense of experiences prospective teachers have as a result. The book is organized in seven sections that highlight how the theoretical perspective of the instructor impacts scholarly inquiry and practice. The final section provides insight as we look backward to reflect, and forward with excitement, moving with the strength of the variation we found in our stories and the feeling of solidarity that results in our understandings of purposes for and insight into teaching mathematics methods. This book can serve as a resource for MTEs as they discuss and construct scholarly practices and as they undertake scholarly inquiry as a means to systematically examine their practice.

Author: National Research Council
Publisher: National Academies Press
ISBN: 0309131987
Category : Education
Languages : en
Pages : 53

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Book Description
Results from national and international assessments indicate that school children in the United States are not learning mathematics well enough. Many students cannot correctly apply computational algorithms to solve problems. Their understanding and use of decimals and fractions are especially weak. Indeed, helping all children succeed in mathematics is an imperative national goal. However, for our youth to succeed, we need to change how we're teaching this discipline. Helping Children Learn Mathematics provides comprehensive and reliable information that will guide efforts to improve school mathematics from pre-kindergarten through eighth grade. The authors explain the five strands of mathematical proficiency and discuss the major changes that need to be made in mathematics instruction, instructional materials, assessments, teacher education, and the broader educational system and answers some of the frequently asked questions when it comes to mathematics instruction. The book concludes by providing recommended actions for parents and caregivers, teachers, administrators, and policy makers, stressing the importance that everyone work together to ensure a mathematically literate society.

Author: Alec J. Schramm
Publisher: Cambridge University Press
ISBN: 1009293427
Category : Science
Languages : en
Pages : 788

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Book Description
Mathematics instruction is often more effective when presented in a physical context. Schramm uses this insight to help develop students' physical intuition as he guides them through the mathematical methods required to study upper-level physics. Based on the undergraduate Math Methods course he has taught for many years at Occidental College, the text encourages a symbiosis through which the physics illuminates the math, which in turn informs the physics. Appropriate for both classroom and self-study use, the text begins with a review of useful techniques to ensure students are comfortable with prerequisite material. It then moves on to cover vector fields, analytic functions, linear algebra, function spaces, and differential equations. Written in an informal and engaging style, it also includes short supplementary digressions ('By the Ways') as optional boxes showcasing directions in which the math or physics may be explored further. Extensive problems are included throughout, many taking advantage of Mathematica, to test and deepen comprehension.

Author: Elizabeth de Freitas
Publisher: Springer Science & Business Media
ISBN: 0387754644
Category : Education
Languages : en
Pages : 257

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Book Description
An innovative contribution to educational research is to be found in this book. The book addresses the need to generate texts that assist educators and future educators in taking up new research and making sense of it. It offers unique approaches to interpreting research within the mathematics education field and takes its place in a growing set of resources. The book will appeal to teacher educators, student teachers, and mathematics education researchers alike.

Author: Chiara Andrà
Publisher: Springer Nature
ISBN: 303050526X
Category : Education
Languages : en
Pages : 262

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Book Description
This book presents a literature review of and a state-of-the-art glimpse into current research on affect-related aspects of teaching and learning in and beyond mathematics classrooms. Then, research presented at the MAVI 25 Conference, which took place in Intra (Italy) in June 2019, is grouped in thematic strands that capture cutting-edge issues related to affective components of learning and teaching mathematics. The concluding chapter summarises the main messages and sketches future directions for research on affect in mathematics education. The book is intended for researchers in mathematics education and especially graduate students and PhD candidates who are interested in emotions, attitudes, motivations, beliefs, needs and values in mathematics education.

Author: OECD
Publisher: OECD Publishing
ISBN: 926474715X
Category :
Languages : en
Pages : 310

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Book Description
What does teaching look like? What practices are most impactful? By directly observing teaching in the classroom, this study trialled new research methods to shed light on these key questions for raising student outcomes around the world.

Author: Catherine Attard
Publisher: Routledge
ISBN: 9781032084534
Category : Educational technology
Languages : en
Pages : 162

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Book Description
Technology-enabled Mathematics Education explores how teachers of mathematics are using digital technologies to enhance student engagement in classrooms, from the early years through to the senior years of school. The research underpinning this book is grounded in real classrooms. The chapters offer ten rich case studies of mathematics teachers who have become exemplary users of technology. Each case study includes the voices of leaders, teachers and their students, providing insights into their practices, beliefs and perceptions of mathematics and technology-enabled teaching. These insights inform an exciting new theoretical model, the Technology Integration Pyramid, for guiding teachers and researchers as they endeavour to understand the complexities involved in planning for effective teaching with technology. This book is a unique resource for educational researchers and students studying primary and secondary mathematics teaching, as well as practising mathematics teachers.