Teaching Mathematical Reasoning In Secondary School Classrooms
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Teaching Mathematical Reasoning In Secondary School Classrooms
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Author : Karin Brodie
language : en
Publisher: Springer Science & Business Media
Release Date : 2009-10-08
Teaching Mathematical Reasoning In Secondary School Classrooms written by Karin Brodie 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 2009-10-08 with Education categories.
For too many students, mathematics consists of facts in a vacuum, to be memorized because the instructor says so, and to be forgotten when the course of study is completed. In this all-too-common scenario, young learners often miss the chance to develop skills—specifically, reasoning skills—that can serve them for a lifetime. The elegant pages of Teaching Mathematical Reasoning in Secondary School Classrooms propose a more positive solution by presenting a reasoning- and discussion-based approach to teaching mathematics, emphasizing the connections between ideas, or why math works. The teachers whose work forms the basis of the book create a powerful record of methods, interactions, and decisions (including dealing with challenges and impasses) involving this elusive topic. And because this approach shifts the locus of authority from the instructor to mathematics itself, students gain a system of knowledge that they can apply not only to discrete tasks relating to numbers, but also to the larger world of people and the humanities. A sampling of the topics covered: Whole-class discussion methods for teaching mathematics reasoning. Learning mathematical reasoning through tasks. Teaching mathematics using the five strands. Classroom strategies for promoting mathematical reasoning. Maximizing student contributions in the classroom. Overcoming student resistance to mathematical conversations. Teaching Mathematical Reasoning in Secondary School Classrooms makes a wealth of cutting-edge strategies available to mathematics teachers and teacher educators. This book is an invaluable resource for researchers in mathematics and curriculum reform and of great interest to teacher educators and teachers.
Teaching Mathematical Reasoning In Secondary School Classrooms
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Author : Karin Brodie
language : fr
Publisher:
Release Date : 2010
Teaching Mathematical Reasoning In Secondary School Classrooms written by Karin Brodie and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010 with Logic, Symbolic and mathematical categories.
Reasoning Communication And Connections In Mathematics Yearbook 2012 Association Of Mathematics Educators
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Author : Berinderjeet Kaur
language : en
Publisher: World Scientific
Release Date : 2012-04-20
Reasoning Communication And Connections In Mathematics Yearbook 2012 Association Of Mathematics Educators written by Berinderjeet Kaur and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-04-20 with Mathematics categories.
This fourth volume in the series of yearbooks by the Association of Mathematics Educators in Singapore entitled Reasoning, Communication and Connections in Mathematics is unique in that it focuses on a single theme in mathematics education. The objective is to encourage teachers and researchers to advance reasoning, communication and connections in mathematics classrooms.Several renowned international researchers in the field have published their work in this volume. The fifteen chapters of the book illustrate evidence-based practices that school teachers and researchers can experiment with in their own classrooms to bring about meaningful learning outcomes. Three major themes: mathematical tasks, classroom discourse, and connectivity within and beyond mathematics, shape the ideas underpinning reasoning, communication and connections in these chapters. The book makes a significant contribution towards mathematical processes essential for learners of mathematics. It is a good resource for mathematics educators and research students.
Problem Based Learning
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Author : Howard S. Barrows
language : en
Publisher: Springer Publishing Company
Release Date : 1980-03-15
Problem Based Learning written by Howard S. Barrows and has been published by Springer Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 1980-03-15 with Medical categories.
In this book, the authors address some basic problems in the learning of biomedical science, medicine, and the other health sciences. Students in most medical schools, especially in basic science courses, are required to memorize a large number of "facts," facts which may or may not be relevant to medical practice. Problem-based learning has two fundamental postulates--the learning through problem-solving is much more effective for creating a body of knowledge usable in the future, and that physician skills most important for patients are problem-solving skills, rather than memory skills. This book presents the scientific basis of problem-based learning and goes on to describe the approaches to problem-based medical learning that have been developed over the years at McMaster University, largely by Barrows and Tamblyn.
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.
Mathematical Thinking How To Develop It In The Classroom
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Author : Shigeo Katagiri
language : en
Publisher: World Scientific
Release Date : 2012-01-27
Mathematical Thinking How To Develop It In The Classroom written by Shigeo Katagiri and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-01-27 with Mathematics categories.
Developing mathematical thinking is one of major aims of mathematics education. In mathematics education research, there are a number of researches which describe what it is and how we can observe in experimental research. However, teachers have difficulties to develope it in the classrooms. This book is the result of lesson studies over the past 50 years. It describes three perspectives of mathematical thinking: Mathematical Attitude (Minds set), Mathematical Methods in General and Mathematical Ideas with Content and explains how to develop them in the classroom with illuminating examples.
Teaching Secondary School Mathematics
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Author : Merrilyn Goos
language : en
Publisher: Routledge
Release Date : 2020-07-16
Teaching Secondary School Mathematics written by Merrilyn Goos and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-07-16 with Education categories.
Since its first publication, Teaching Secondary School Mathematics has established itself as one of the most respected and popular texts for both pre-service and in-service teachers. This new edition has been fully revised and updated to reflect the major changes brought about by the introduction of the Australian Curriculum: Mathematics, as well as discussing significant research findings, the evolution of digital teaching and learning technologies, and the implications of changes in education policies and practices. The mathematical proficiencies that now underpin the Australian curriculum -- understanding, fluency, problem solving and reasoning -- are covered in depth in Part 1, and a new section is devoted to the concept of numeracy. The chapter on digital tools and resources has been significantly expanded to reflect the growing use of these technologies in the classroom, while the importance of assessment is recognised with new material on assessment for learning and as learning, along with a consideration of policy development in this area. Important research findings on common student misconceptions and new and effective approaches for teaching key mathematical skills are covered in detail. As per the first edition readers will find a practical guide to pedagogical approaches and the planning and enactment of lessons together with enhanced chapters on teaching effectively for diversity, managing issues of inequality and developing effective relationships with parents and the community. This book is the essential pedagogical tool for every emerging teacher of secondary school mathematics. 'The text offers an excellent resource for all of those involved in the preparation of secondary mathematics teachers, with links to research literature, exemplars of classroom practices, and instructional activities that encourage readers to actively examine and critique practices within their own educational settings.' Professor Glenda Anthony, Institute of Education, Massey University 'A rich and engaging textbook that covers all of the important aspects of learning to become an effective secondary mathematics teacher. The second edition of this text ... is further enhanced with updated references to the Australian Curriculum, NAPLAN, STEM, current Indigenous, social justice and gender inequity issues, and the place of Australian mathematics curricula on the world stage.' Dr Christine Ormond, Senior Lecturer, Edith Cowan University
Mathematics Teaching In Singapore Volume 1 Theory Informed Practices
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Author : Ngan Hoe Lee
language : en
Publisher: World Scientific
Release Date : 2020-04-30
Mathematics Teaching In Singapore Volume 1 Theory Informed Practices written by Ngan Hoe Lee and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-04-30 with Mathematics categories.
This book series will provide readers with the landscape of mathematics teaching practices in Singapore classroom. In this first book of the series, Theory-Informed Practices, the book will have a collection of teachers' classroom practices that are informed by theory. It will provide classroom exemplars of how teachers make use of theories to inform their practices to better cater to the needs of the learners. This book which targets at the practitioners is written in a way that help the practitioners to be better in consuming and applying such efforts in the own classrooms. It provides the interested readers not only the landscape but also the spectrum of pedagogical approaches and strategies that are theoretically informed and adopted by the Singapore mathematics teachers. This book is written by expert teachers for teachers. It will also be of interest to graduate students, mathematics educators and the international mathematics education community who are looking for greater insights to the Singapore mathematics classrooms.
International Handbook Of Mathematics Teacher Education Volume 2
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Author :
language : en
Publisher: BRILL
Release Date : 2019-12-16
International Handbook Of Mathematics Teacher Education Volume 2 written by and has been published by BRILL this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-12-16 with Education categories.
This second edition of the International Handbook of Mathematics Teacher Education builds on and extends the topics/ideas in the first edition while maintaining the themes for each of the volumes. Collectively, the authors look back beyond and within the last 10 years to establish the state-of-the-art and continuing and new trends in mathematics teacher and mathematics teacher educator education, and look forward regarding possible avenues for teachers, teacher educators, researchers, and policy makers to consider to enhance and/or further investigate mathematics teacher and teacher educator learning and practice, in particular. The volume editors provide introductions to each volume that highlight the subthemes used to group related chapters, which offer meaningful lenses to see important connections within and across chapters. Readers can also use these subthemes to make connections across the four volumes, which, although presented separately, include topics that have relevance across them since they are all situated in the common focus regarding mathematics teachers. Volume 2, Tools and Processes in Mathematics Teacher Education, describes and analyze various promising tools and processes, from different perspectives, aimed at facilitating the mathematics teacher learning and development. It provides insights of how mathematics teacher educators think about and approach their work with teachers. Thus, as the second volume in the series, it broadens our understanding of the mathematics teacher and their learning and teaching.
Developing Maths Lesson Planning And Frameworks Mastery Logic And Reasoning In The Classroom
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Author : Linda (Yuqian) Wang
language : en
Publisher: McGraw-Hill Education (UK)
Release Date : 2023-11-24
Developing Maths Lesson Planning And Frameworks Mastery Logic And Reasoning In The Classroom written by Linda (Yuqian) Wang and has been published by McGraw-Hill Education (UK) this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-11-24 with Education categories.
“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.