Developing Maths Lesson Planning And Frameworks Mastery Logic And Reasoning In The Classroom

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Developing Maths Lesson Planning and Frameworks: Mastery, Logic and Reasoning in the Classroom

Author : Linda (Yuqian) Wang
Publisher : McGraw-Hill Education (UK)
ISBN 13 : 0335251811
Total Pages : 169 pages
Book Rating : 4.3/5 (352 download)

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Book Synopsis Developing Maths Lesson Planning and Frameworks: Mastery, Logic and Reasoning in the Classroom by : Linda (Yuqian) Wang

Download or read book Developing Maths Lesson Planning and Frameworks: Mastery, Logic and Reasoning in the Classroom written by Linda (Yuqian) Wang and published by McGraw-Hill Education (UK). This book was released on 2023-11-24 with total page 169 pages. Available in PDF, EPUB and Kindle. Book excerpt: “This book highlights the essential relationship between lesson planning and key mathematical elements such as mastery and reasoning. The exemplification of ideas through useful classroom strategies gives the book a practical basis, as well as theoretical. I have no doubt that even experienced teachers will find this book enlightening and encourage them to re-evaluate elements of their practice.” Hayley Hands, Secondary PGCE Mathematics Lead, Newcastle University, UK “Developing Maths Lesson Planning and Frameworks provides much food for thought and includes many immediate ‘take aways’ to reflect on or try out. This book will help enhance any maths teacher's lesson planning, from the trainee teacher to the experienced practitioner.” Rose-Marie Rochester, Archimedes NE Maths Hub Lead/BHCET Director of Maths, UK Addressing the maths skills gap, Wang et al. propose a new method for maths lesson planning that harnesses the power of reasoning in mathematics teaching. Using a pedagogical approach called the Causal Connectivity Framework (CCF), this book helps teachers to support students in actively discovering the logical foundations upon which classroom activities are linked together. The authors have diverse expertise and experiences as maths teachers, teacher educators and researchers, and this alternative approach is the result of long-term collaboration aimed at building up successful maths lessons from the very first steps – lesson planning. Developing Maths Lesson Planning and Frameworks: •Offers practical advice within a theoretical framework •Ties in with UK National Curriculum requirements •Contains detailed practical examples and visual aids throughout Reasoning is a critical component of maths learning, making this essential reading for maths teachers and teacher trainees as they help students to achieve maths mastery. Linda Wang is Assistant Professor and PGCE secondary maths Lead at Durham University, UK. She is particularly interested in curriculum design at both secondary and lower primary level mathematics, and developing the educational impact partnership model to deliver Continuing Professional Development (CPD) to future-orientate Mathematics education. Chris Brown is Professor of Education at the University of Southampton, UK. His research interests include using Professional Learning Networks (PLNs) to promote the collaborative learning of teachers, as well as how research evidence can and should, but often doesn’t, aid the development of education policy and practice. Jeremy Dawson is Area Co-ordinator for the Advanced Maths Support Programme at Durham University, UK. He has worked in a variety of diverse school settings around North East England and has extensive experience of teaching mathematics from KS2-KS5, as well as contributing and assisting on gifted and talented programs for prospective university entrants.

Developing Maths Lesson Planning and Frameworks: Mastery, Logic and Reasoning in the Classroom

Author : LINDA. DAWSON WANG (JEREMY. BROWN, CHRIS.)
Publisher :
ISBN 13 : 9780335251803
Total Pages : 0 pages
Book Rating : 4.2/5 (518 download)

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Book Synopsis Developing Maths Lesson Planning and Frameworks: Mastery, Logic and Reasoning in the Classroom by : LINDA. DAWSON WANG (JEREMY. BROWN, CHRIS.)

Download or read book Developing Maths Lesson Planning and Frameworks: Mastery, Logic and Reasoning in the Classroom written by LINDA. DAWSON WANG (JEREMY. BROWN, CHRIS.) and published by . This book was released on 2023-11-24 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book supports teacher trainees as they help students develop maths reasoning skills. It uses the Causal Connectivity Framework and enhances the knowledge and skills of trainees in sequencing teaching content with cumulative knowledge and understanding. It covers a variety of contexts from primary education up to GCSE level and includes practical examples of what is possible. The book offers maths teachers an alternative way of incorporating reasoning as a critical component of maths learning - a part of continuous professional development based on strong subject and curriculum content knowledge.

Understanding by Design

Author : Grant P. Wiggins
Publisher : ASCD
ISBN 13 : 1416600353
Total Pages : 383 pages
Book Rating : 4.4/5 (166 download)

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Book Synopsis Understanding by Design by : Grant P. Wiggins

Download or read book Understanding by Design written by Grant P. Wiggins and published by ASCD. This book was released on 2005 with total page 383 pages. Available in PDF, EPUB and Kindle. Book excerpt: What is understanding and how does it differ from knowledge? How can we determine the big ideas worth understanding? Why is understanding an important teaching goal, and how do we know when students have attained it? How can we create a rigorous and engaging curriculum that focuses on understanding and leads to improved student performance in today's high-stakes, standards-based environment? Authors Grant Wiggins and Jay McTighe answer these and many other questions in this second edition of Understanding by Design. Drawing on feedback from thousands of educators around the world who have used the UbD framework since its introduction in 1998, the authors have greatly revised and expanded their original work to guide educators across the K-16 spectrum in the design of curriculum, assessment, and instruction. With an improved UbD Template at its core, the book explains the rationale of backward design and explores in greater depth the meaning of such key ideas as essential questions and transfer tasks. Readers will learn why the familiar coverage- and activity-based approaches to curriculum design fall short, and how a focus on the six facets of understanding can enrich student learning. With an expanded array of practical strategies, tools, and examples from all subject areas, the book demonstrates how the research-based principles of Understanding by Design apply to district frameworks as well as to individual units of curriculum. Combining provocative ideas, thoughtful analysis, and tested approaches, this new edition of Understanding by Design offers teacher-designers a clear path to the creation of curriculum that ensures better learning and a more stimulating experience for students and teachers alike.

Helping Children Learn Mathematics

Author : National Research Council
Publisher : National Academies Press
ISBN 13 : 0309131987
Total Pages : 53 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Helping Children Learn Mathematics by : National Research Council

Download or read book Helping Children Learn Mathematics written by National Research Council and published by National Academies Press. This book was released on 2002-07-31 with total page 53 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Numeracy Across the Curriculum

Author : Merrilyn Goos
Publisher : Routledge
ISBN 13 : 1000250466
Total Pages : 271 pages
Book Rating : 4.0/5 (2 download)

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Book Synopsis Numeracy Across the Curriculum by : Merrilyn Goos

Download or read book Numeracy Across the Curriculum written by Merrilyn Goos and published by Routledge. This book was released on 2020-07-16 with total page 271 pages. Available in PDF, EPUB and Kindle. Book excerpt: Being numerate involves more than mastering basic mathematics. Numeracy connects the mathematics learned at school with out-of-school situations that require capabilities such as problem solving, critical judgment, and sense-making related to non-mathematical contexts. This book provides prospective and practising teachers with practical, research-based strategies for embedding numeracy across the primary and secondary school curriculum. Based on the authors' ten-year research program, the text explains what numeracy is and how numeracy has developed as an educational goal. It describes in detail the five dimensions of the authors' model: attention to real-life contexts; application of mathematical knowledge; use of physical, representational and digital tools; the promotion of positive dispositions towards the use of mathematics to solve problems encountered in day-to-day life; and a critical orientation to interpreting mathematical results and making evidence-based judgements. There is guidance on how to embed numeracy across all subjects within the curriculum, how to assess numeracy learning and how to deal with challenges and dilemmas including working with discipline boundaries and developing support resources. Featuring practical examples and case studies throughout, this book will build pre-service teacher confidence, demystify common misconceptions and grounds theory into practice in this vital area of student competency. 'The authors of this text are recognised authorities on numeracy. They have engaged heavily in numeracy research over many years and this text reflects the depth of their understanding and knowledge.' - Geoff Hilton, University of Queensland

Does Mathematical Study Develop Logical Thinking?: Testing The Theory Of Formal Discipline

Author : Matthew Inglis
Publisher : World Scientific
ISBN 13 : 1786340704
Total Pages : 204 pages
Book Rating : 4.7/5 (863 download)

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Book Synopsis Does Mathematical Study Develop Logical Thinking?: Testing The Theory Of Formal Discipline by : Matthew Inglis

Download or read book Does Mathematical Study Develop Logical Thinking?: Testing The Theory Of Formal Discipline written by Matthew Inglis and published by World Scientific. This book was released on 2016-09-06 with total page 204 pages. Available in PDF, EPUB and Kindle. Book excerpt: For centuries, educational policymakers have believed that studying mathematics is important, in part because it develops general thinking skills that are useful throughout life. This 'Theory of Formal Discipline' (TFD) has been used as a justification for mathematics education globally. Despite this, few empirical studies have directly investigated the issue, and those which have showed mixed results.Does Mathematical Study Develop Logical Thinking? describes a rigorous investigation of the TFD. It reviews the theory's history and prior research on the topic, followed by reports on a series of recent empirical studies. It argues that, contrary to the position held by sceptics, advanced mathematical study does develop certain general thinking skills, however these are much more restricted than those typically claimed by TFD proponents.Perfect for students, researchers and policymakers in education, further education and mathematics, this book provides much needed insight into the theory and practice of the foundations of modern educational policy.

Mathematical Proficiency for All Students: Toward a Strategic Research and Development Program in Mathematics Education

Author : Deborah Loewenberg
Publisher : Rand Corporation
ISBN 13 : 0833034111
Total Pages : 123 pages
Book Rating : 4.8/5 (33 download)

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Book Synopsis Mathematical Proficiency for All Students: Toward a Strategic Research and Development Program in Mathematics Education by : Deborah Loewenberg

Download or read book Mathematical Proficiency for All Students: Toward a Strategic Research and Development Program in Mathematics Education written by Deborah Loewenberg and published by Rand Corporation. This book was released on 2003-04-15 with total page 123 pages. Available in PDF, EPUB and Kindle. Book excerpt: A clear need exists for substantial improvement in mathematics proficiency in U.S. schools. The RAND Mathematics Study Panel was convened to inform the U.S. Department of Education's Office of Educational Research and Improvement on ways to improve the quality and usability of education research and development (R&D). The panel identified three areas for focused R&D: development of teachers' mathematical knowledge used in teaching; teaching and learning of skills needed for mathematical thinking and problem-solving; and teaching and learning of algebra from kindergarten through the 12th grade.

Bentley's Snowflakes

Author : W. A. Bentley
Publisher : Courier Corporation
ISBN 13 : 0486996883
Total Pages : 52 pages
Book Rating : 4.4/5 (869 download)

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Book Synopsis Bentley's Snowflakes by : W. A. Bentley

Download or read book Bentley's Snowflakes written by W. A. Bentley and published by Courier Corporation. This book was released on 2006-01-01 with total page 52 pages. Available in PDF, EPUB and Kindle. Book excerpt: 576 graceful, black-and-white snowflake patterns, captured by photographer W. A. Bentley for use as research and teaching aids for scientists and art instructors, now provide an inexhaustible source of design inspiration. Ideal for a host of creative projects or for browsers intrigued by the intricacy and beauty of design in the natural world.

How Learning Works

Author : Susan A. Ambrose
Publisher : John Wiley & Sons
ISBN 13 : 0470617608
Total Pages : 336 pages
Book Rating : 4.4/5 (76 download)

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Book Synopsis How Learning Works by : Susan A. Ambrose

Download or read book How Learning Works written by Susan A. Ambrose and published by John Wiley & Sons. This book was released on 2010-04-16 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: Praise for How Learning Works "How Learning Works is the perfect title for this excellent book. Drawing upon new research in psychology, education, and cognitive science, the authors have demystified a complex topic into clear explanations of seven powerful learning principles. Full of great ideas and practical suggestions, all based on solid research evidence, this book is essential reading for instructors at all levels who wish to improve their students' learning." —Barbara Gross Davis, assistant vice chancellor for educational development, University of California, Berkeley, and author, Tools for Teaching "This book is a must-read for every instructor, new or experienced. Although I have been teaching for almost thirty years, as I read this book I found myself resonating with many of its ideas, and I discovered new ways of thinking about teaching." —Eugenia T. Paulus, professor of chemistry, North Hennepin Community College, and 2008 U.S. Community Colleges Professor of the Year from The Carnegie Foundation for the Advancement of Teaching and the Council for Advancement and Support of Education "Thank you Carnegie Mellon for making accessible what has previously been inaccessible to those of us who are not learning scientists. Your focus on the essence of learning combined with concrete examples of the daily challenges of teaching and clear tactical strategies for faculty to consider is a welcome work. I will recommend this book to all my colleagues." —Catherine M. Casserly, senior partner, The Carnegie Foundation for the Advancement of Teaching "As you read about each of the seven basic learning principles in this book, you will find advice that is grounded in learning theory, based on research evidence, relevant to college teaching, and easy to understand. The authors have extensive knowledge and experience in applying the science of learning to college teaching, and they graciously share it with you in this organized and readable book." —From the Foreword by Richard E. Mayer, professor of psychology, University of California, Santa Barbara; coauthor, e-Learning and the Science of Instruction; and author, Multimedia Learning

California Preschool Learning Foundations: Visual and performing arts. Physical development. Health

Author : Faye Ong
Publisher :
ISBN 13 :
Total Pages : 132 pages
Book Rating : 4.:/5 (318 download)

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Book Synopsis California Preschool Learning Foundations: Visual and performing arts. Physical development. Health by : Faye Ong

Download or read book California Preschool Learning Foundations: Visual and performing arts. Physical development. Health written by Faye Ong and published by . This book was released on 2008 with total page 132 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Bulletin of the Atomic Scientists

Author :
Publisher :
ISBN 13 :
Total Pages : 48 pages
Book Rating : 4./5 ( download)

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Book Synopsis Bulletin of the Atomic Scientists by :

Download or read book Bulletin of the Atomic Scientists written by and published by . This book was released on 1959-02 with total page 48 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Bulletin of the Atomic Scientists is the premier public resource on scientific and technological developments that impact global security. Founded by Manhattan Project Scientists, the Bulletin's iconic "Doomsday Clock" stimulates solutions for a safer world.

How to Differentiate Instruction in Mixed-ability Classrooms

Author : Carol A. Tomlinson
Publisher : ASCD
ISBN 13 : 0871205122
Total Pages : 128 pages
Book Rating : 4.8/5 (712 download)

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Book Synopsis How to Differentiate Instruction in Mixed-ability Classrooms by : Carol A. Tomlinson

Download or read book How to Differentiate Instruction in Mixed-ability Classrooms written by Carol A. Tomlinson and published by ASCD. This book was released on 2001 with total page 128 pages. Available in PDF, EPUB and Kindle. Book excerpt: Offers a definition of differentiated instruction, and provides principles and strategies designed to help teachers create learning environments that address the different learning styles, interests, and readiness levels found in a typical mixed-ability classroom.

Number Talks

Author : Sherry Parrish
Publisher : Math Solutions
ISBN 13 : 1935099116
Total Pages : 434 pages
Book Rating : 4.9/5 (35 download)

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Book Synopsis Number Talks by : Sherry Parrish

Download or read book Number Talks written by Sherry Parrish and published by Math Solutions. This book was released on 2010 with total page 434 pages. Available in PDF, EPUB and Kindle. Book excerpt: "A multimedia professional learning resource"--Cover.

Bulletin of the Atomic Scientists

Author :
Publisher :
ISBN 13 :
Total Pages : 64 pages
Book Rating : 4./5 ( download)

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Book Synopsis Bulletin of the Atomic Scientists by :

Download or read book Bulletin of the Atomic Scientists written by and published by . This book was released on 1972-10 with total page 64 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Bulletin of the Atomic Scientists is the premier public resource on scientific and technological developments that impact global security. Founded by Manhattan Project Scientists, the Bulletin's iconic "Doomsday Clock" stimulates solutions for a safer world.

How People Learn

Author : National Research Council
Publisher : National Academies Press
ISBN 13 : 0309131979
Total Pages : 386 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis How People Learn by : National Research Council

Download or read book How People Learn written by National Research Council and published by National Academies Press. This book was released on 2000-08-11 with total page 386 pages. Available in PDF, EPUB and Kindle. Book excerpt: First released in the Spring of 1999, How People Learn has been expanded to show how the theories and insights from the original book can translate into actions and practice, now making a real connection between classroom activities and learning behavior. This edition includes far-reaching suggestions for research that could increase the impact that classroom teaching has on actual learning. Like the original edition, this book offers exciting new research about the mind and the brain that provides answers to a number of compelling questions. When do infants begin to learn? How do experts learn and how is this different from non-experts? What can teachers and schools do-with curricula, classroom settings, and teaching methodsâ€"to help children learn most effectively? New evidence from many branches of science has significantly added to our understanding of what it means to know, from the neural processes that occur during learning to the influence of culture on what people see and absorb. How People Learn examines these findings and their implications for what we teach, how we teach it, and how we assess what our children learn. The book uses exemplary teaching to illustrate how approaches based on what we now know result in in-depth learning. This new knowledge calls into question concepts and practices firmly entrenched in our current education system. Topics include: How learning actually changes the physical structure of the brain. How existing knowledge affects what people notice and how they learn. What the thought processes of experts tell us about how to teach. The amazing learning potential of infants. The relationship of classroom learning and everyday settings of community and workplace. Learning needs and opportunities for teachers. A realistic look at the role of technology in education.

Teaching and Learning of Calculus

Author : David Bressoud
Publisher : Springer
ISBN 13 : 3319329758
Total Pages : 44 pages
Book Rating : 4.3/5 (193 download)

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Book Synopsis Teaching and Learning of Calculus by : David Bressoud

Download or read book Teaching and Learning of Calculus written by David Bressoud and published by Springer. This book was released on 2016-06-14 with total page 44 pages. Available in PDF, EPUB and Kindle. Book excerpt: This survey focuses on the main trends in the field of calculus education. Despite their variety, the findings reveal a cornerstone issue that is strongly linked to the formalism of calculus concepts and to the difficulties it generates in the learning and teaching process. As a complement to the main text, an extended bibliography with some of the most important references on this topic is included. Since the diversity of the research in the field makes it difficult to produce an exhaustive state-of-the-art summary, the authors discuss recent developments that go beyond this survey and put forward new research questions.

STEM Integration in K-12 Education

Author : National Research Council
Publisher : National Academies Press
ISBN 13 : 0309297990
Total Pages : 143 pages
Book Rating : 4.3/5 (92 download)

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Book Synopsis STEM Integration in K-12 Education by : National Research Council

Download or read book STEM Integration in K-12 Education written by National Research Council and published by National Academies Press. This book was released on 2014-02-28 with total page 143 pages. Available in PDF, EPUB and Kindle. Book excerpt: STEM Integration in K-12 Education examines current efforts to connect the STEM disciplines in K-12 education. This report identifies and characterizes existing approaches to integrated STEM education, both in formal and after- and out-of-school settings. The report reviews the evidence for the impact of integrated approaches on various student outcomes, and it proposes a set of priority research questions to advance the understanding of integrated STEM education. STEM Integration in K-12 Education proposes a framework to provide a common perspective and vocabulary for researchers, practitioners, and others to identify, discuss, and investigate specific integrated STEM initiatives within the K-12 education system of the United States. STEM Integration in K-12 Education makes recommendations for designers of integrated STEM experiences, assessment developers, and researchers to design and document effective integrated STEM education. This report will help to further their work and improve the chances that some forms of integrated STEM education will make a positive difference in student learning and interest and other valued outcomes.