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Learning Through Teaching Mathematics


Learning Through Teaching Mathematics
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Teaching Mathematics At Secondary Level


Teaching Mathematics At Secondary Level
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Author : Tony Gardiner
language : en
Publisher: Open Book Publishers
Release Date : 2016-02-08

Teaching Mathematics At Secondary Level written by Tony Gardiner and has been published by Open Book Publishers this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-02-08 with Mathematics categories.


Teaching Mathematics is nothing less than a mathematical manifesto. Arising in response to a limited National Curriculum, and engaged with secondary schooling for those aged 11 ̶ 14 (Key Stage 3) in particular, this handbook for teachers will help them broaden and enrich their students’ mathematical education. It avoids specifying how to teach, and focuses instead on the central principles and concepts that need to be borne in mind by all teachers and textbook authors—but which are little appreciated in the UK at present.This study is aimed at anyone who would like to think more deeply about the discipline of ‘elementary mathematics’, in England and Wales and anywhere else. By analysing and supplementing the current curriculum, Teaching Mathematics provides food for thought for all those involved in school mathematics, whether as aspiring teachers or as experienced professionals. It challenges us all to reflect upon what it is that makes secondary school mathematics educationally, culturally, and socially important.



Mathematics Education


Mathematics Education
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Author : Khoon Yoong Wong
language : en
Publisher: World Scientific
Release Date : 2009

Mathematics Education written by Khoon Yoong Wong and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009 with Education categories.


This title provides much food for thought and pointers to meet future challenges in mathematics education not only within Singapore, but also in other countries.



The Teaching And Learning Of Mathematics At University Level


The Teaching And Learning Of Mathematics At University Level
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Author : Derek Holton
language : en
Publisher: Springer Science & Business Media
Release Date : 2001-09-30

The Teaching And Learning Of Mathematics At University Level written by Derek Holton and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-09-30 with Education categories.


This is a text that contains the latest in thinking and the best in practice. It provides a state-of-the-art statement on tertiary teaching from a multi-perspective standpoint. No previous book has attempted to take such a wide view of the topic. The book will be of special interest to academic mathematicians, mathematics educators, and educational researchers. It arose from the ICMI Study into the teaching and learning of mathematics at university level (initiated at the conference in Singapore, 1998).



Learning And Teaching Mathematics 0 8


Learning And Teaching Mathematics 0 8
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Author : Helen Taylor
language : en
Publisher: SAGE
Release Date : 2013-11-14

Learning And Teaching Mathematics 0 8 written by Helen Taylor and has been published by SAGE this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-11-14 with Education categories.


′What a super book! It is absolutely packed with practical ideas and activities to help you love maths, and love teaching and/or learning it. It certainly helps to develop an enthusiasm for a subject most adults tend to say "I′m no good at..."′ - Early Years Educator ‘A wonderful book, packed with practical ideas and activities to help all students love maths.’ - Jo Boaler, Professor of Mathematics Education, Stanford University Fostering an enthusiasm for mathematics in young children is a vital part of supporting their mathematical development. Underpinned by subject and pedagogical knowledge, case studies and research-based perspectives, the authors provide clear guidance on how to support young children′s learning and understanding in an effective and engaging way. Contemporary approaches to developing essential mathematical learning for young children are explored, including: play, practical activities and talk for mathematics outdoor learning understanding pattern counting, calculation and place value measures and shape problem solving and representing mathematics assessment working with parents. Written for both trainees and practitioners working with children aged 0 to 8 years, including those studying for Early Years and Early Childhood degrees and those on Primary PGCE and Primary Education courses, this book offers mathematical subject knowledge and teaching ideas in one volume. Helen Taylor is Course Leader of PGCE Primary Part-time Mathematics at Canterbury Christ Church University. Andrew Harris is Course Leader of PGCE Modular Mathematics at Canterbury Christ Church University.



Visible Learning For Mathematics Grades K 12


Visible Learning For Mathematics Grades K 12
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Author : John Hattie
language : en
Publisher: Corwin Press
Release Date : 2016-09-15

Visible Learning For Mathematics Grades K 12 written by John Hattie and has been published by Corwin Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-09-15 with Education categories.


Rich tasks, collaborative work, number talks, problem-based learning, direct instruction…with so many possible approaches, how do we know which ones work the best? In Visible Learning for Mathematics, six acclaimed educators assert it’s not about which one—it’s about when—and show you how to design high-impact instruction so all students demonstrate more than a year’s worth of mathematics learning for a year spent in school. That’s a high bar, but with the amazing K-12 framework here, you choose the right approach at the right time, depending upon where learners are within three phases of learning: surface, deep, and transfer. This results in “visible” learning because the effect is tangible. The framework is forged out of current research in mathematics combined with John Hattie’s synthesis of more than 15 years of education research involving 300 million students. Chapter by chapter, and equipped with video clips, planning tools, rubrics, and templates, you get the inside track on which instructional strategies to use at each phase of the learning cycle: Surface learning phase: When—through carefully constructed experiences—students explore new concepts and make connections to procedural skills and vocabulary that give shape to developing conceptual understandings. Deep learning phase: When—through the solving of rich high-cognitive tasks and rigorous discussion—students make connections among conceptual ideas, form mathematical generalizations, and apply and practice procedural skills with fluency. Transfer phase: When students can independently think through more complex mathematics, and can plan, investigate, and elaborate as they apply what they know to new mathematical situations. To equip students for higher-level mathematics learning, we have to be clear about where students are, where they need to go, and what it looks like when they get there. Visible Learning for Math brings about powerful, precision teaching for K-12 through intentionally designed guided, collaborative, and independent learning.



Research On Teaching And Learning Mathematics At The Tertiary Level


Research On Teaching And Learning Mathematics At The Tertiary Level
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Author : Irene Biza
language : en
Publisher: Springer
Release Date : 2016-07-01

Research On Teaching And Learning Mathematics At The Tertiary Level written by Irene Biza and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-07-01 with Education categories.


This topical survey focuses on research in tertiary mathematics education, a field that has experienced considerable growth over the last 10 years. Drawing on the most recent journal publications as well as the latest advances from recent high-quality conference proceedings, our review culls out the following five emergent areas of interest: mathematics teaching at the tertiary level; the role of mathematics in other disciplines; textbooks, assessment and students’ studying practices; transition to the tertiary level; and theoretical-methodological advances. We conclude the survey with a discussion of some potential directions for future research in this new and rapidly evolving domain of inquiry.



Teaching Elementary Mathematics To Struggling Learners


Teaching Elementary Mathematics To Struggling Learners
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Author : Bradley S. Witzel
language : en
Publisher: Guilford Publications
Release Date : 2016-01-25

Teaching Elementary Mathematics To Struggling Learners written by Bradley S. Witzel and has been published by Guilford Publications this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-01-25 with Education categories.


Packed with effective instructional strategies, this book explores why certain K-5 students struggle with math and provides a framework for helping these learners succeed. The authors present empirically validated practices for supporting students with disabilities and others experiencing difficulties in specific areas of math, including problem solving, early numeracy, whole-number operations, fractions, geometry, and algebra. Concrete examples, easy-to-implement lesson-planning ideas, and connections to state standards, in particular the Common Core standards, enhance the book's utility. Also provided is invaluable guidance on planning and delivering multi-tiered instruction and intervention.



Teaching Mathematics In The Visible Learning Classroom Grades 6 8


Teaching Mathematics In The Visible Learning Classroom Grades 6 8
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Author : John Almarode
language : en
Publisher: Corwin Press
Release Date : 2018-10-10

Teaching Mathematics In The Visible Learning Classroom Grades 6 8 written by John Almarode and has been published by Corwin Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-10-10 with Education categories.


Select the right task, at the right time, for the right phase of learning It could happen in the morning during homework review. Or perhaps it happens when listening to students as they struggle through a challenging problem. Or maybe even after class, when planning a lesson. At some point, the question arises: How do I influence students′ learning—what’s going to generate that light bulb "aha" moment of understanding? In this sequel to the megawatt best seller Visible Learning for Mathematics, John Almarode, Douglas Fisher, Nancy Frey, John Hattie, and Kateri Thunder help you answer that question by showing how Visible Learning strategies look in action in the mathematics classroom. Walk in the shoes of middle school teachers as they engage in the 200 micro-decisions-per-minute needed to balance the strategies, tasks, and assessments seminal to high-impact mathematics instruction. Using grade-leveled examples and a decision-making matrix, you’ll learn to Articulate clear learning intentions and success criteria at surface, deep, and transfer levels Employ evidence to guide students along the path of becoming metacognitive and self-directed mathematics achievers Use formative assessments to track what students understand, what they don’t, and why Select the right task for the conceptual, procedural, or application emphasis you want, ensuring the task is for the right phase of learning Adjust the difficulty and complexity of any task to meet the needs of all learners It’s not only what works, but when. Exemplary lessons, video clips, and online resources help you leverage the most effective teaching practices at the most effective time to meet the surface, deep, and transfer learning needs of every student.



Teaching Mathematics In The Visible Learning Classroom High School


Teaching Mathematics In The Visible Learning Classroom High School
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Author : John Almarode
language : en
Publisher: Corwin Press
Release Date : 2018-08-17

Teaching Mathematics In The Visible Learning Classroom High School written by John Almarode and has been published by Corwin Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-08-17 with Education categories.


Select the right task, at the right time, for the right phase of learning How do you generate that lightbulb “aha” moment of understanding for your students? This book helps to answer that question by showing Visible Learning strategies in action in high-impact mathematics classrooms. Walk in the shoes of teachers as they engage in the countless micro-decisions required to balance strategies, tasks, and assessments, demonstrating that it’s not only what works, but when. A decision-making matrix and grade-leveled examples help you leverage the most effective teaching practices at the most effective time to meet the surface, deep, and transfer learning needs of every student.



Learning By Teaching


Learning By Teaching
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Author : David Duran
language : en
Publisher: Routledge
Release Date : 2017-04-11

Learning By Teaching written by David Duran and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-04-11 with Education categories.


This book provides an essential overview of "learning by teaching", unpacking the underpinning theory, research evidence and practical implications of peer learning in a variety of classroom contexts. It aims to offer practical guidance for practitioners in structuring effective peer learning – between professionals and between students alike. It locates this phenomenon in current conceptions of learning and teaching, far removed from traditional ideas of one-way transmission of knowledge. Exactly what happens to promote learning by teaching is explored. Examples of learning by teaching are discussed and it is noted that this happens in school, university and the workplace, as well as through the Internet. Learning by teaching within the student body is then explored, and many different methods described. The organizational features needed to improve learning by teaching consciously and deliberately are investigated. These can be before teaching, during teaching or after teaching. Evidence-based practical guidance is given. Of course teachers can deploy learning by teaching for themselves, but what if they also organize their students to teach each other, thereby giving many more opportunities to discuss, practise, explain and question? This takes pedagogical advantage of the differences between students – turning classrooms into communities of learners where students learn both from their teacher and from their peers.