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Extending Mathematics Understanding
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Book Synopsis Extending Mathematical Understanding by : Ann Gervasoni
Download or read book Extending Mathematical Understanding written by Ann Gervasoni and published by BHS Publishing. This book was released on 2015-08-31 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: extending mathematical understanding, mathematics intervention, childhood mathematics learning, mathematics assessment, intervention program, early number concepts, arithmetic strategies, multiplicative reasoning, place value concepts, counting knowledge, mathematics learning trajectory, early number learning, primary schools mathematics, learning difficulties, identification of mathematics learning difficulties or disabilities
Book Synopsis Extending Mathematics Understanding by : Roger Osborn
Download or read book Extending Mathematics Understanding written by Roger Osborn and published by . This book was released on 1963 with total page 342 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Extending Mathematical Understanding by : Ann Gervasoni
Download or read book Extending Mathematical Understanding written by Ann Gervasoni and published by . This book was released on 2004 with total page 74 pages. Available in PDF, EPUB and Kindle. Book excerpt: This specialist teacher manual provides advice for teachers and school communities about how they may best approach intervention in maths and about when is the most effective time to intervene.
Book Synopsis Extending Mathematics Understanding by : Roger Osborn
Download or read book Extending Mathematics Understanding written by Roger Osborn and published by . This book was released on 1960 with total page 278 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Extending Children's Mathematics by : Susan B. Empson
Download or read book Extending Children's Mathematics written by Susan B. Empson and published by Heinemann Educational Books. This book was released on 2011 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: "With the collaboration of a number of dedicated teachers and their students, Susan Empson and Linda Levi have produced a volume that is faithful to the basic principles of CGI while at the same time covering new ground with insight and innovation." -Thomas P. Carpenter This highly anticipated follow-up volume to the landmark Children's Mathematics: Cognitively Guided Instruction addresses the urgent need to help teachers understand and teach fraction concepts. Fractions remain one of the key stumbling blocks in math education, and here Empson and Levi lay a foundation for understanding fractions and decimals in ways that build conceptual learning. They show how the same kinds of intuitive knowledge and sense making that provides the basis for children's learning of whole number arithmetic can be extended to fractions and decimals. Just as they did in Children's Mathematics and Thinking Mathematically, Empson and Levi provide important insights into children's thinking and alternative approaches to solving problems. Three themes appear throughout the book: building meaning for fractions and decimals through discussing and solving word problems the progression of children's strategies for solving fraction word problems and equations from direct modeling through relational thinking designing instruction that capitalizes on students' relational thinking strategies to integrate algebra into teaching and learning fractions. With illuminating examples of student work, classroom vignettes, "Teacher Commentaries" from the field, sample problems and instructional guides provided in each chapter, you'll have all the tools you need to teach fractions and decimals with understanding and confidence.
Book Synopsis Extending the Challenge in Mathematics by : Linda Jensen Sheffield
Download or read book Extending the Challenge in Mathematics written by Linda Jensen Sheffield and published by Corwin Press. This book was released on 2002-10-22 with total page 161 pages. Available in PDF, EPUB and Kindle. Book excerpt: "The best source I have seen challenging mathematically talented students. The activities are thought provoking and enjoyable. I will recommend this book to parents as well as educators of mathematically talented students!" Sally Reis Past President of The National Association for Gifted Children Challenge, engage, and inspire your mathematically promising students! Combining theory and practice, Sheffield expertly guides the reader through the process of mathematical talent development from identifying students with mathematical potential, to finding and creating first-rate problems for exploration and strategies for assessment. The multi-level investigations in this book are designed to challenge students and inspire deeper and more original mathematical thinking in Number and Operations, Algebra, Geometry and Measurement, and Data Analysis and Probability. Each investigation is developed in the following easy-to-follow format: Relate—sets the stage for the investigation by connecting it to prior learning and the NCTM Principles and Standards Investigate—poses the initial problem to start students thinking about the investigation Evaluate and Communicate—provides solutions, probing assessment questions, and suggestions for teacher responses Create—offers ideas for extending and deepening the investigation, allowing even the most accomplished students to add depth and complexity to their reasoning Discussion—gives teachers hints on what to look for in student solutions, as well as ideas for encouraging students to dig more deeply into the mathematical concepts that are presented Mathematically promising students have the potential to become the leaders and problem solvers of the future. Extending the Challenge in Mathematics provides the practical tips and tools educators need to help their students develop this potential to the fullest.
Book Synopsis Children's Mathematics by : Thomas P. Carpenter
Download or read book Children's Mathematics written by Thomas P. Carpenter and published by Heinemann Educational Books. This book was released on 2015 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: With a focus on children's mathematical thinking, this second edition adds new material on the mathematical principles underlying children's strategies, a new online video that illustrates student teacher interaction, and examines the relationship between CGI and the Common Core State Standards for Mathematics.
Book Synopsis Extension Mathematics by : Anthony Gardiner
Download or read book Extension Mathematics written by Anthony Gardiner and published by . This book was released on 2007 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Although there is a perception that at the highest levels students should be capable of 'self-study', the topics in the accompanying student books are designed to be introduced by the teacher and the ideas tackled as a class. This is the key role of the Teacher's Guide, which for each lessoncontains suggested approaches, useful resources, common misconceptions, and answers.
Book Synopsis Invited Lectures from the 13th International Congress on Mathematical Education by : Gabriele Kaiser
Download or read book Invited Lectures from the 13th International Congress on Mathematical Education written by Gabriele Kaiser and published by Springer. This book was released on 2018-02-06 with total page 786 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book presents the Invited Lectures given at 13th International Congress on Mathematical Education (ICME-13). ICME-13 took place from 24th- 31st July 2016 at the University of Hamburg in Hamburg (Germany). The congress was hosted by the Society of Didactics of Mathematics (Gesellschaft für Didaktik der Mathematik - GDM) and took place under the auspices of the International Commission on Mathematical Instruction (ICMI). ICME-13 – the biggest ICME so far - brought together about 3500 mathematics educators from 105 countries, additionally 250 teachers from German speaking countries met for specific activities. The scholars came together to share their work on the improvement of mathematics education at all educational levels.. The papers present the work of prominent mathematics educators from all over the globe and give insight into the current discussion in mathematics education. The Invited Lectures cover a wide spectrum of topics, themes and issues and aim to give direction to future research towards educational improvement in the teaching and learning of mathematics education. This book is of particular interest to researchers, teachers and curriculum developers in mathematics education.
Book Synopsis Key Stage 3 Mastering Mathematics - Book 1 by : Sophie Goldie
Download or read book Key Stage 3 Mastering Mathematics - Book 1 written by Sophie Goldie and published by . This book was released on 2021-04-30 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: With small steps and our carefully crafted questions, every pupil will achieve greater progress. Designed to be used flexibly, this second edition textbook has been updated to include more Mastery-style questions and whole-class activities. Whether you follow a full Mastery scheme, choose to use Mastery aspects or you're just looking for quality resources, our three textbooks support the way you want to teach. Each book gradually builds on prior knowledge, developing pupils' confidence, fluency, reasoning and problem-solving skills. · Secure understanding with differentiated questions and worked examples that build on prior knowledge, following the 'do it, secure it, deepen it' Mastery structure · Recap skills and topics from Key Stage 2, ensuring a smooth transition to Key Stage 3 · Target key skills using the fluency, reasoning and problem-solving markers in the margin · Build confidence with starter activities and warm-up questions to introduce each concept · Develop reasoning skills using non-examples, where pupils identify mistakes in sample answers · Track progress through review questions, building key skills and knowledge · Benefit from the expertise of UK Mastery trained subject specialists with over 30 years of teaching experience · Cover the full UK National Curriculum and all four strands - number, algebra, geometry and measures, statistics and probability - within our three restructured textbooks for Key Stage 3 Our flexible, Mastery-led approach Our flexible approach allows you to teach maths your way. You can choose to focus on building understanding using the graduated questions or take a Mastery approach to exposition using manipulatives and 'concrete, pictorial, abstract' in the optional class activities. Answers will be provided online.
Book Synopsis Minilessons for Extending Addition and Subtraction by : Willem Uttenbogaard
Download or read book Minilessons for Extending Addition and Subtraction written by Willem Uttenbogaard and published by Firsthand. This book was released on 2008-03 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: A resource of 68 minilessons designed to be used at the start of a math workshop and to last for ten to fifteen minutes.
Book Synopsis Ausdehnungslehre by : Hermann Günther Grassmann
Download or read book Ausdehnungslehre written by Hermann Günther Grassmann and published by American Mathematical Soc.. This book was released on with total page 440 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Ausdehnungslehre of 1862 is Grassmann's most mature presentation of his "extension theory". The work was unique in capturing the full sweep of his mathematical achievements. Compared with Grassmann's first book, Lineale Ausdehnungslehre, this book contains an enormous amount of new material, including a detailed development of the inner product and its relation to the concept of angle, the "theory of functions" from the point of view of extension theory, and Grassmann's contribution to the Pfaff problem. In many ways, this book is the version of Grassmann's system most accessible to contemporary readers. This translation is based on the material in Grassmann's "Gesammelte Werke", published by B. G. Teubner (Stuttgart and Leipzig, Germany). It includes nearly all the Editorial Notes from that edition, but the "improved" proofs are relocated, and Grassmann's original proofs are restored to their proper places. The original Editorial Notes are augmented by Supplementary Notes, elucidating Grassmann's achievement in modern terms. This is the third in an informal sequence of works to be included within the History of Mathematics series, co-published by the AMS and the London Mathematical Society. Volumes in this subset are classical mathematical works that served as cornerstones for modern mathematical thought.
Book Synopsis Mathematical Understanding 5-11 by : Anne D Cockburn
Download or read book Mathematical Understanding 5-11 written by Anne D Cockburn and published by SAGE. This book was released on 2007-06-19 with total page 129 pages. Available in PDF, EPUB and Kindle. Book excerpt: Sam - a young and enthusiastic trainee teacher - asked the class, ′What is the difference between 7 and 6?′. Jo′s hand shot up and he immediately responded, ′Well seven is all straight lines and sixes are all curly.′ How can you help children to make progress in mathematical understanding? Children′s mathematical misconceptions very often arise as a result of poor communication. This practical and innovative book presents a range of creative strategies to help teachers communicate effectively in the mathematics classroom, offering some new ways of presenting the fundamental concepts and principles of mathematics, and clearly demonstrating that the most effective form of communication is not always verbal. Each chapter focuses on a theme or concept central to the numeracy strategy, such as subtraction, shape and space, constructing and connecting 2D and 3D shapes, data-logging and graph interpretation, and mathematical reasoning. Each chapter supports teachers′ subject knowledge as well as suggesting a range of communication strategies (e.g. speaking, listening, drawing, role play, and visual methods such as posters and ICT work) to help teachers and children to share and build on their understanding. All of the activities have been tried and tested in classrooms across Europe. Written by a team of highly experienced teachers, the book will be valuable reading for pre- and in-service teachers, teacher educators and anyone who has an interest in extending the ways children actively engage with mathematics. Teachers with EAL pupils in their class may find it of particular value in communicating mathematical concepts to those who find English difficult. The book is accompanied by a DVD which includes video clips of children at work in mathematics classrooms, software used in the project, copies of material from the book and additional activities.
Book Synopsis The Young Child and Mathematics, Third Edition by : Angela Chan Turrou
Download or read book The Young Child and Mathematics, Third Edition written by Angela Chan Turrou and published by . This book was released on 2021-10 with total page 128 pages. Available in PDF, EPUB and Kindle. Book excerpt: Tap into the Power of Child-Led Math Teaching and Learning Everything a child does has mathematical value--these words are at the heart of this completely revised and updated third edition of The Young Child and Mathematics. Grounded in current research, this classic book focuses on how teachers working with children ages 3 to 6 can find and build on the math inherent in children's ideas in ways that are playful and intentional. This resource - Illustrates through detailed vignettes how math concepts can be explored in planned learning experiences as well as informal spaces - Highlights in-the-moment instructional decision-making and child-teacher interactions that meaningfully and dynamically support children in making math connections - Provides an overview of what children know about counting and operations, spatial relations, measurement and data, and patterns and algebra - Offers examples of informal documentation and assessment approaches that are embedded within classroom practice Deepen your understanding of how math is an integral part of your classroom all day, every day. Includes online video!
Book Synopsis Thinking Mathematically by : Thomas P. Carpenter
Download or read book Thinking Mathematically written by Thomas P. Carpenter and published by Heinemann Educational Books. This book was released on 2003 with total page 166 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book the authors reveal how children's developing knowledge of the powerful unifying ideas of mathematics can deepen their understanding of arithmetic
Book Synopsis Intensifying Mathematics Interventions for Struggling Students by : Diane Pedrotty Bryant
Download or read book Intensifying Mathematics Interventions for Struggling Students written by Diane Pedrotty Bryant and published by Guilford Publications. This book was released on 2021-07-05 with total page 226 pages. Available in PDF, EPUB and Kindle. Book excerpt: "This book, Intensive Mathematics Interventions, provides a thorough background knowledge about mathematics difficulties across the grade span. Even more valuable to educators-this book provides user friendly guidance on how to address all of the elements of mathematics difficulties from preschool to secondary grades. Each topic provides clear guidance to support decision making about intensive instruction including examples, ideas, practices, and suggestions. You will learn about the characteristics of students with math difficulties, how to use date to progress monitor them, how to intensify interventions, specific evidence-based practices for addressing early numeracy, time and money, whole numbers, rational numbers, word problem solving strategies, algebra and even technology"--
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 52 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.
