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

Author: LINDA. DAWSON WANG (JEREMY. BROWN, CHRIS.)
Publisher:
ISBN: 9780335251803
Category : Lesson planning
Languages : en
Pages : 0

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Book Description
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.

Author: Linda (Yuqian) Wang
Publisher: McGraw-Hill Education (UK)
ISBN: 0335251811
Category : Education
Languages : en
Pages : 169

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Book Description
“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.

Author: Grant P. Wiggins
Publisher: ASCD
ISBN: 1416600353
Category : Education
Languages : en
Pages : 383

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Book Description
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.

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: Rosa Archer
Publisher: Taylor & Francis
ISBN: 1351048279
Category : Education
Languages : en
Pages : 279

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Book Description
Using the latest research, this book provides an insight into how learning in mathematics can be improved through a lesson study approach. This highly practical resource explores the research and theory that underpins lesson study, and shows the significant impact it can have on teacher development. Divided into ten accessible main chapters that focus in depth on an individual mathematics lesson, each chapter provides research and background to the lesson, an outline of key features, a detailed description and analysis of the lesson in practice, post-lesson discussions and reflections which generalise from the experience, as well as links to helpful resources. Some of the key topics explored include: Fractions Proportional relationships Probability and statistics Geometry Modelling Algebra Dialogic reasoning. Understanding Lesson Study for Mathematics is the perfect resource for all mathematics teachers, trainee teachers, and professional developers who are looking to develop the use of lesson study in their own practice or for those simply seeking new inspiring ideas for the mathematics classroom.

Author: Teruni Lamberg
Publisher: Rowman & Littlefield
ISBN: 1475853815
Category : Education
Languages : en
Pages : 139

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Book Description
Help your students learn math and get results by working smarter, not harder! This book provides a research-based, classroom-tested framework that helps make teaching easier. Learn how to design your classroom physical space, develop productive routines, plan effective lessons and facilitate meaningful discussions by using formative assessment to help students learn. This framework naturally integrates the Standards for Mathematical Practice in the Common Core Standards into the process of teaching. Spend your time working smarter not harder to get results in student learning! This book is perfect for individual teachers, Professional Learning Communities (PLC’s), math coaches, for pre-service or in-service math methods courses.

Author: Titu Andreescu
Publisher: John Wiley & Sons
ISBN: 1119575710
Category : Education
Languages : en
Pages : 288

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Book Description
Help your students to think critically and creatively through team-based problem solving instead of focusing on testing and outcomes. Professionals throughout the education system are recognizing that standardized testing is holding students back. Schools tend to view children as outcomes rather than as individuals who require guidance on thinking critically and creatively. Awesome Math focuses on team-based problem solving to teach discrete mathematics, a subject essential for success in the STEM careers of the future. Built on the increasingly popular growth mindset, this timely book emphasizes a problem-solving approach for developing the skills necessary to think critically, creatively, and collaboratively. In its current form, math education is a series of exercises: straightforward problems with easily-obtained answers. Problem solving, however, involves multiple creative approaches to solving meaningful and interesting problems. The authors, co-founders of the multi-layered educational organization AwesomeMath, have developed an innovative approach to teaching mathematics that will enable educators to: Move their students beyond the calculus trap to study the areas of mathematics most of them will need in the modern world Show students how problem solving will help them achieve their educational and career goals and form lifelong communities of support and collaboration Encourage and reinforce curiosity, critical thinking, and creativity in their students Get students into the growth mindset, coach math teams, and make math fun again Create lesson plans built on problem based learning and identify and develop educational resources in their schools Awesome Math: Teaching Mathematics with Problem Based Learning is a must-have resource for general education teachers and math specialists in grades 6 to 12, and resource specialists, special education teachers, elementary educators, and other primary education professionals.

Author: Tammy Jones
Publisher: Routledge
ISBN: 1317393651
Category : Education
Languages : en
Pages : 136

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Book Description
Help your students develop logical reasoning and critical thinking skills. This new book from bestselling authors and popular consultants Tammy Jones and Leslie Texas offers authentic logic-building activities and writing strategies that can be used across all subject areas in grades 6-8. Filled with hands-on activities and photocopiable tools, Strategic Journeys will help you guide your students into deeper thinking to go beyond the surface of content to true understanding. Topics include: Identifying opportunities for students to engage in meaningful and relevant writing across the content areas; Introducing a logical reasoning process, questioning structure, and bridging models to allow students to delve deeper into problems; Incorporating literature to increase student engagement and make content come alive for your students; Building vocabulary and literacy skills through fun activities aimed at increasing proficiency; Using the Three Phases of Logical Reasoning to plan lessons effectively, help students reflect on their progress, and implement the strategies successfully. The strategies in this book have been implemented in hundreds of classrooms around the country, and have been proven to increase student engagement, promote higher-order thinking and in-depth reasoning, and improve overall achievement.

Author: Fay Lewis
Publisher: Routledge
ISBN: 1000517934
Category : Education
Languages : en
Pages : 111

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Book Description
The UK National Curriculum is clear about the importance of reasoning and problem-solving in mathematics. Mastery and Depth in Primary Mathematics aims to support trainee and established teachers to embed mathematical thinking into their lessons. The authors focus on practical and actionable ways that primary teachers can develop their children’s mathematical thinking, reasoning and problem-solving: ideas which are at the heart of the UK National Curriculum. Covering a range of areas in mathematical thinking such as reasoning, problem-solving and pattern-spotting, as well as systematic and investigative thinking, each chapter provides clear examples of how teachers can make small, manageable ‘rich tweaks’ to their existing lessons to increase the opportunities for children to develop their mathematical thinking. Teachers will be able to dip into the book and find inspiration and ideas that they can use immediately and, importantly, develop a set of principles and skills which will enable them to take any mathematical activity and tweak it to develop their pupils’ thinking skills. This practical guide will be invaluable to all trainee teachers and early-career teachers that wish to enhance their primary mathematics teaching.

Author: Beth McCord Kobett
Publisher: Corwin Press
ISBN: 1506387829
Category : Education
Languages : en
Pages : 249

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Book Description
"This book brings together the best of Visible Learning and the teaching of mathematics. The chapters on learning intentions, success criteria, misconceptions, formative evaluation, and knowing thy impact are stunning. Rich in exemplars, grounded in research about practice, and with the right balance about the surface and deep learning in math, it′s a great go-to book for all who teach mathematics." —John Hattie, Laureate Professor, Deputy Dean of MGSE, Director of the Melbourne Education Research Institute, Melbourne Graduate School of Education Your blueprint to planning K-2 math lessons for maximum impact and understanding Not sure of tomorrow morning’s lesson plan? Or maybe you feel it isn’t tailored enough for your students’ needs. What do you do? For that and more, help is here. The Mathematics Lesson-Planning Handbook, Grades K-2: Your Blueprint for Building Cohesive Lessons guides teachers step-by-step through the decision-making process of planning K-2 math lessons that are purposeful, rigorous, and coherent. Instructional experts Beth McCord Kobett, Ruth Harbin Miles, and Lois A. Williams streamline and deepen the lesson-planning process showing teachers how to access students′ complex needs, clarify learning intentions, and select tasks that will best lead to student understanding of mathematical concepts and skills. Along the way, teachers create an individualized blueprint for planning K-2 math lessons for maximum student learning. The lesson-planning process guides teachers to: Identify the mathematical content, language, and social learning intentions for a lesson or unit, and connect goals to success criteria Determine the purpose of a math lesson you’re planning by distinguishing between conceptual understanding, procedural fluency, and transfer Select worthwhile tasks and materials that make the best use of representations, manipulatives, and other instructional tools and resources Choose the format of your lesson using reasoning and number routines, games, whole-class discussion, and pairs, or small-group work Anticipate student misconceptions and evaluate understanding using a variety of formative assessment techniques Decide how you’ll launch your lesson, facilitate questioning, encourage productive struggle, and close your lesson Included is a lesson-planning template and examples from kindergarten, first-, and second-grade classrooms. Chapter by chapter, the decision-making strategies empower teachers to plan math lessons strategically, to teach with intention and confidence, and to build an exceptional foundation in math for all students.