Mathematical Knowledge And Skills


Mathematical Knowledge And Skills
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The Development Of Mathematical Skills


The Development Of Mathematical Skills
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Author : Chris Donlan
language : en
Publisher: Psychology Press
Release Date : 2022-02-16

The Development Of Mathematical Skills written by Chris Donlan and has been published by Psychology Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-02-16 with Psychology categories.


Cutting edge research from a diverse range of viewpoints Central section dedicated to the arithmetical development of memory.



Mathematical Knowledge And Skills


Mathematical Knowledge And Skills
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Author : National Assessment of Educational Progress (Project)
language : en
Publisher:
Release Date : 1979

Mathematical Knowledge And Skills written by National Assessment of Educational Progress (Project) and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1979 with Mathematical ability categories.




Developing 21st Century Competencies In The Mathematics Classroom


Developing 21st Century Competencies In The Mathematics Classroom
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Author : Pee Choon Toh
language : en
Publisher: World Scientific
Release Date : 2016-05-20

Developing 21st Century Competencies In The Mathematics Classroom written by Pee Choon Toh and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-05-20 with Mathematics categories.


The aim of this book is to contribute towards literature in the field of mathematics education, specifically the development of 21st century competencies amongst learners of mathematics. The book comprising fourteen chapters, written by renowned researchers in mathematics education, provides readers with approaches and applicable classroom strategies to foster skills and dispositions that will enable learners to thrive in the fast-changing and complex world that we live in today. The chapters in the book can be classified into three broad themes. The first is an examination of what is meant by 21st century competencies and how they can be developed within the context of the mathematics curriculum. The second is an in-depth discussion of evidence-based practices aimed at fostering specific competencies like metacognition and reflective thinking, critical thinking and communication skills. The last and third theme is about teaching approaches that are likely to feature increasingly in the 21st century classroom, for example flipped learning or the use of comics and storytelling. Contents:21st Century Competencies in Mathematics Classrooms (Pee Choon TOH & Berinderjeet KAUR)Mathematics Education, Virtues and 21st Century Competencies (Stephen THORNTON)Enriching Secondary Mathematics Education with 21st Century Competencies (WONG Khoon Yoong)Mathematics in 21st Century Life (Barry KISSANE)Mathematics Subject Mastery — A Must for Developing 21st Century Skills (Berinderjeet KAUR, WONG Lai Fong & Divya BHARDWAJ)Teaching in the 21st Century Mathematics Classroom: Metacognitive Questioning (Cynthia SETO)Listening and Responding to Children's Reflective Thinking: Two Case Studies on the Use of the National Assessment in Japan (Keiko HINO)Using Open-Ended Tasks to Foster 21st Century Learners at the Primary Level (YEO Kai Kow Joseph)Productive Talk in the Primary Mathematics Classroom (KOAY Phong Lee)Justification in Singapore Secondary Mathematics (CHUA Boon Liang)Examples in the Teaching of Mathematics: Teachers' Perceptions (Lay Keow NG & Jaguthsing DINDYAL)On the Efficacy of Flipped Classroom: Motivation and Cognitive Load (Weng Kin HO & Puay San CHAN)Use of Comics and Storytelling in Teaching Mathematics (TOH Tin Lam, CHENG Lu Pien, JIANG Heng & LIM Kam Ming)Game Theory: An Alternative Mathematical Experience (Ein-Ya GURA) Readership: Graduate students, researchers, practitioners and teachers in mathematics.



Mathematical Knowledge For Primary Teachers


Mathematical Knowledge For Primary Teachers
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Author : Andrew Davis
language : en
Publisher: Routledge
Release Date : 2010-04-05

Mathematical Knowledge For Primary Teachers written by Andrew Davis and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-04-05 with Education categories.


Now in its fourth edition, the bestselling text Mathematical Knowledge for Primary Teachers provides trainee teachers with clear information about the fundamental mathematical ideas taught in primary schools. With rigorous and comprehensive coverage of all the mathematical knowledge primary teachers need, the text goes beyond rules and routines to help readers deepen their understanding of mathematical ideas and increase their confidence in teaching these ideas. Fully updated to incorporate recommendations of the Williams review, new sections are included covering talk for learning in mathematics, with an emphasis placed on the language and vocabulary used in arithmetic contexts. Throughout the book, knowledge is linked to the TDA standards for Qualified Teacher Status, and features include: ‘Check’ questions to test the reader’s understanding ‘Challenges’, to increase teachers’ confidence and stretch their mathematical abilities ‘Links with the classroom’ to emphasise the relevance of ideas to the classroom context Straightforward coverage from theory to practice for all aspects of the Mathematics framework. The book is accompanied by e-resources, which contain further visual activities and support, designed to scaffold and support the reader’s own understanding. Essential reading for all practising and trainee primary teachers, this book is ideal for those who wish to increase their mathematical understanding and confidence in presenting mathematics in the classroom.



Improving Mathematics At Work


Improving Mathematics At Work
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Author : Celia Hoyles
language : en
Publisher: Routledge
Release Date : 2010-04-30

Improving Mathematics At Work written by Celia Hoyles and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-04-30 with Education categories.


Improving Mathematics at Work questions the mathematical knowledge and skills that matter in the twenty-first century world of work, and studies how the use of mathematics in the workplace is evolving in the rapidly-changing context of new technologies and globalisation. Through a series of case studies from the manufacturing and financial service sectors, the authors argue that there has been a radical shift in the type mathematical skills required for work – a shift not yet fully recognised by the formal education system, or by employers and managers. Examining how information technology has changed mathematical requirements, the idea of Techno-mathematical Literacies (TmL) is introduced to describe the emerging need to be fluent in the language of mathematical inputs and outputs to technologies and to interpret and communicate with these, rather than merely to be procedurally competent with calculations. The authors argue for careful analyses of workplace activities, looking beyond the conventional thinking about numeracy, which still dominates policy arguments about workplace mathematics. Throughout their study, the authors answer the following fundamental questions: What mathematical knowledge and skills matter for the world of work today? How does information technology change the necessary knowledge and the ways in which it is encountered? How can we develop these essential new skills in the workforce? With evidence of successful opportunities to learn with TmL that were co-designed and evaluated with employers and employees, this book provides suggestions for the development of TmL through the use of authentic learning activities, and interactive software design. Essential reading for trainers and managers in industry, teachers, researchers and lecturers of mathematics education, and stakeholders implementing evidence-based policy, this book maps the fundamental changes taking place in workplace mathematics.



Constructing Mathematical Knowledge Building Numeracy Skills


Constructing Mathematical Knowledge Building Numeracy Skills
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Author : Steven Nisbet
language : en
Publisher: SprintPrints
Release Date : 2009

Constructing Mathematical Knowledge Building Numeracy Skills written by Steven Nisbet and has been published by SprintPrints this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009 with Mathematics categories.




Research Trends In Mathematics Teacher Education


Research Trends In Mathematics Teacher Education
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Author : Jane-Jane Lo
language : en
Publisher: Springer
Release Date : 2014-05-28

Research Trends In Mathematics Teacher Education written by Jane-Jane Lo and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-28 with Education categories.


Research on the preparation and continued development of mathematics teachers is becoming an increasingly important subset of mathematics education research. Such research explores the attributes, knowledge, skills and beliefs of mathematics teachers as well as methods for assessing and developing these critical aspects of teachers and influences on teaching. Research Trends in Mathematics Teacher Education focuses on three major themes in current mathematics teacher education research: mathematical knowledge for teaching, teacher beliefs and identities, and tools and techniques to support teacher learning. Through careful reports of individual research studies and cross-study syntheses of the state of research in these areas, the book provides insights into teachers’ learning processes and how these processes can be harnessed to develop effective teachers. Chapters investigate bedrock skills needed for working with primary and secondary learners (writing relevant problems, planning lessons, being attentive to student learning) and illustrate how knowledge can be accessed, assessed, and nurtured over the course of a teaching career. Commentaries provide context for current research while identifying areas deserving future study. Included among the topics: Teachers’ curricular knowledge Teachers’ personal and classroom mathematics Teachers’ learning journeys toward reasoning and sense-making Teachers’ transitions in noticing Teachers’ uses of a learning trajectory as a tool for mathematics lesson planning A unique and timely set of perspectives on the professional development of mathematics teachers at all stages of their careers, Research Trends in Mathematics Teacher Education brings clarity and practical advice to researchers as well as practitioners in this increasingly critical arena.



Sharpening Everyday Mental Thinking Skills Through Mathematics Problem Solving And Beyond


Sharpening Everyday Mental Thinking Skills Through Mathematics Problem Solving And Beyond
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Author : Alfred S Posamentier
language : en
Publisher: World Scientific
Release Date : 2024-01-22

Sharpening Everyday Mental Thinking Skills Through Mathematics Problem Solving And Beyond written by Alfred S Posamentier and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-01-22 with Mathematics categories.


Mathematics is a subject taught from kindergarten through to high school, and yet it is the one subject that most adults are almost proud to admit to not having been very good at, and, therefore, tend to avoid it where they can. However, one of the key factors in mathematics is its ability to enable us to solve everyday problems. When we consider 'the worst-case scenario' of the situation, it is analogous to solving a mathematical problem by considering extremes. Or, we might consider the best path to take from point A to point B, where geometric relationships can be helpful. This book is intended to demonstrate a variety of neglected aspects of mathematics, in order to demonstrate the power and beauty of the field of mathematics beyond where most people, students, and teachers believe is possible.The chapters of the book explore a multitude of topics: unusual arithmetic calculations and shortcuts, entertaining and instructional problem-solving strategies, unusual applications of algebra, and how geometry allows us to better appreciate physical relationships. Only a basic mathematical knowledge is needed to understand these topics and problems; however, the book also demonstrates that, armed with even this level of understanding, our mathematical skills far exceed what we learned at school! The final chapter is the most challenging, and explores a curious problem-solving technique.



Reshaping School Mathematics


Reshaping School Mathematics
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Author : National Research Council
language : en
Publisher: National Academies Press
Release Date : 1990-02-01

Reshaping School Mathematics written by National Research Council and has been published by National Academies Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990-02-01 with Education categories.


The United States must restructure mathematics educationâ€"both what is learned and the way it is taughtâ€"if children are to develop the mathematical knowledge and skills they will need to be personally and professionally competent in the twenty-first century. Joining the recent reports that have opened a national dialogue on these issues, Reshaping School Mathematics focuses discussion on essential ideas that transcend details of current curricula or assessment results. It examines changing perspectives on the role of mathematics in society and changing practice in the use of technologyâ€"particularly calculators and computersâ€"in mathematics education.



Middle Grade Teachers Mathematical Knowledge And Its Relationship To Instruction


Middle Grade Teachers Mathematical Knowledge And Its Relationship To Instruction
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Author : Judith Sowder
language : en
Publisher: State University of New York Press
Release Date : 1998-07-16

Middle Grade Teachers Mathematical Knowledge And Its Relationship To Instruction written by Judith Sowder and has been published by State University of New York Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998-07-16 with Education categories.


The outcome of a two-year investigation, this book shows how teachers' understanding of the mathematics of number, quantity, and proportion influences how they teach and what their students learn of the concepts, skills, and reasoning associated with this mathematical domain of knowledge. It grew out of the recognition of the need to understand the complexities of helping teachers reconceptualize the mathematics they teach and the resulting effects in their classrooms. The book includes case studies of five teachers, from different types of school settings, illustrating changes in the teachers' teaching methods, expectations of students, and beliefs about the role of professional development.