Mathematical Understanding For Secondary Teaching
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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.
Mathematical Understanding For Secondary Teaching
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Author : M. Kathleen Heid
language : en
Publisher: IAP
Release Date : 2015-12-01
Mathematical Understanding For Secondary Teaching written by M. Kathleen Heid and has been published by IAP this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-12-01 with Education categories.
A perennial discussion about teacher development is the optimal content background for teachers. In recent years, that discussion has taken center stage in the work of mathematics education researchers, mathematicians, mathematics professional developers, and mathematics education policymakers. Much of the existing and prior work in this area has been directed toward mathematical knowledge for teaching at the elementary level. The work described in this volume takes a sometimes-neglected approach, focusing on the dynamic nature of mathematical understanding rather than on a stable description of mathematical knowledge, and on mathematics for secondary teaching rather than mathematics for teaching at the elementary level. The work reported in Mathematical Understanding for Secondary Teaching: A Framework and Classroom-Based Situations is a practice-based response to the question of what mathematical understandings secondary teachers could productively use in their teaching. For each of more than 50 events, our team of almost 50 mathematics educators who were experienced mathematics teachers developed descriptions of the mathematics that teachers could use—each of those descriptions (consisting of the event and the mathematics related to the event) is what we call a Situation. We developed our Framework for Mathematical Understanding for Secondary Teaching (MUST) based on an analysis of our entire set of Situations. We call the work practice-based because the MUST framework is based on actual events that we witnessed in our observations of secondary mathematics practice. Groups of mathematics teachers can use this volume to enhance their own understandings of secondary mathematics. School leaders and professional developers in secondary mathematics will find our MUST Framework and Situations useful as they work with teachers in enhancing and deepening their understanding of secondary mathematics. Mathematics teacher educators and mathematicians who teach mathematics to prospective and in-service secondary teachers will be able to couch their mathematical discussions in the Situations—examples that arise from secondary mathematics classrooms. They will be able to use this volume as they design courses and programs that enhance mathematics from the perspectives identified in the MUST framework. Policymakers and researchers can use our MUST framework as they consider the mathematics background needed by teachers.
Understanding Analysis And Its Connections To Secondary Mathematics Teaching
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Author : Nicholas H. Wasserman
language : en
Publisher: Springer Nature
Release Date : 2022-01-03
Understanding Analysis And Its Connections To Secondary Mathematics Teaching written by Nicholas H. Wasserman and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-01-03 with Education categories.
Getting certified to teach high school mathematics typically requires completing a course in real analysis. Yet most teachers point out real analysis content bears little resemblance to secondary mathematics and report it does not influence their teaching in any significant way. This textbook is our attempt to change the narrative. It is our belief that analysis can be a meaningful part of a teacher's mathematical education and preparation for teaching. This book is a companion text. It is intended to be a supplemental resource, used in conjunction with a more traditional real analysis book. The textbook is based on our efforts to identify ways that studying real analysis can provide future teachers with genuine opportunities to think about teaching secondary mathematics. It focuses on how mathematical ideas are connected to the practice of teaching secondary mathematics–and not just the content of secondary mathematics itself. Discussions around pedagogy are premised on the belief that the way mathematicians do mathematics can be useful for how we think about teaching mathematics. The book uses particular situations in teaching to make explicit ways that the content of real analysis might be important for teaching secondary mathematics, and how mathematical practices prevalent in the study of real analysis can be incorporated as practices for teaching. This textbook will be of particular interest to mathematics instructors–and mathematics teacher educators–thinking about how the mathematics of real analysis might be applicable to secondary teaching, as well as to any prospective (or current) teacher who has wondered about what the purpose of taking such courses could be.
The Mathematics That Every Secondary School Math Teacher Needs To Know
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Author : Alan Sultan
language : en
Publisher: Routledge
Release Date : 2017-07-20
The Mathematics That Every Secondary School Math Teacher Needs To Know written by Alan Sultan and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-07-20 with Education categories.
Designed to help pre-service and in-service teachers gain the knowledge they need to facilitate students' understanding, competency, and interest in mathematics, the revised and updated Second Edition of this popular text and resource bridges the gap between the mathematics learned in college and the mathematics taught in secondary schools. Highlighting multiple types of mathematical understanding to deepen insight into the secondary school mathematics curriculum, it addresses typical areas of difficulty and common student misconceptions so teachers can involve their students in learning mathematics in a way that is interesting, interconnected, understandable, and often surprising and entertaining. Six content strands are discussed—Numbers and Operations; Algebra; Geometry; Measurement; Data Analysis and Probability; and Proof, Functions, and Mathematical Modeling. The informal, clear style supports an interactive learner-centered approach through engaging pedagogical features: Launch Questions at the beginning of each section capture interest and involve readers in learning the mathematical concepts. Practice Problems provide opportunities to apply what has been learned and complete proofs. Questions from the Classroom bring the content to life by addressing the deep "why" conceptual questions that middle or secondary school students are curious about, and questions that require analysis and correction of typical student errors and misconceptions; focus on counter intuitive results; and contain activities and/or tasks suitable for use with students. Changes in the Second Edition New sections on Robotics, Calculators, Matrix Operations, Cryptography, and the Coefficient of Determination New problems, simpler proofs, and more illustrative examples Answers and hints for selected problems provided
Teaching Secondary Mathematics
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Author : Gregory Hine
language : en
Publisher: Cambridge University Press
Release Date : 2016-08-15
Teaching Secondary Mathematics written by Gregory Hine and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-08-15 with Education categories.
A valuable resource for pre-service teachers who wish to integrate contemporary technology into teaching key mathematical concepts.
Uses Of Technology In Lower Secondary Mathematics Education
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Author : Paul Drijvers
language : en
Publisher: Springer
Release Date : 2016-06-14
Uses Of Technology In Lower Secondary Mathematics Education written by Paul Drijvers and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-06-14 with Education categories.
This topical survey provides an overview of the current state of the art in technology use in mathematics education, including both practice-oriented experiences and research-based evidence, as seen from an international perspective. Three core themes are discussed: Evidence of effectiveness; Digital assessment; and Communication and collaboration. The survey’s final section offers suggestions for future trends in technology-rich mathematics education and provides a research agenda reflecting those trends. Predicting what lower secondary mathematics education might look like in 2025 with respect to the role of digital tools in curricula, teaching and learning, it examines the question of how teachers can integrate physical and virtual experiences to promote a deeper understanding of mathematics. The issues and findings presented here provide an overview of current research and offer a glimpse into a potential future characterized by the effective integration of technology to support mathematics teaching and learning at the lower secondary level.
Mathematics For Secondary School Teachers
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Author : Elizabeth G. Bremigan
language : en
Publisher: MAA
Release Date : 2011
Mathematics For Secondary School Teachers written by Elizabeth G. Bremigan and has been published by MAA this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011 with Mathematics categories.
Discusses topics of central importance in the secondary school mathematics curriculum, including functions, polynomials, trigonometry, exponential and logarithmic functions, number and operation, and measurement. This volume is primarily intended as the text for a bridge or capstone course for pre-service secondary school mathematics teachers.
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.
How To Enhance Your Mathematics Subject Knowledge Number And Algebra For Secondary Teachers
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Author : Jemma Sherwood
language : en
Publisher: Oxford University Press - Children
Release Date : 2018-07-12
How To Enhance Your Mathematics Subject Knowledge Number And Algebra For Secondary Teachers written by Jemma Sherwood and has been published by Oxford University Press - Children this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-07-12 with Education categories.
Written by an award-winning teacher, this guide equips teachers with the depth of knowledge they need to talk confidently and competently about maths to students of all attainment levels - in short, to be an expert in secondary-level mathematical concepts, regardless of how recently they studied themselves, or their own subject specialism. How To Enhance Your Mathematics Subject Knowledge: - Explores a broad range of the trickiest concepts and misconceptions in the number and algebra topics of secondary maths - Packed with diagrams and questions to allow readers to check their own understanding of concepts - Supports a mastery approach by laying bare the underlying architecture in Secondary maths, giving teachers the confidence to pass on that understanding to their students - Builds on teachers' knowledge and experience, supporting them in answering those awkward but brilliant questions that crop up in class.
Concept Based Mathematics
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Author : Jennifer Wathall
language : en
Publisher:
Release Date : 2016
Concept Based Mathematics written by Jennifer Wathall and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016 with Mathematics categories.
This book helps students achieve the deep understanding and skills called for by global standards and be prepared for the 21st century workplace.