Schools Mathematics And The World Of Reality
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Professional Development That Supports School Mathematics Reform
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Author : Raffaella Borasi
language : en
Publisher:
Release Date : 2002
Professional Development That Supports School Mathematics Reform written by Raffaella Borasi and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002 with Educational change categories.
Mathematics Education As A Research Domain A Search For Identity
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Author : Anna Sierpinska
language : en
Publisher: Springer
Release Date : 2013-03-14
Mathematics Education As A Research Domain A Search For Identity written by Anna Sierpinska and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-14 with Education categories.
No one disputes how important it is, in today's world, to prepare students to un derstand mathematics as well as to use and communicate mathematics in their future lives. That task is very difficult, however. Refocusing curricula on funda mental concepts, producing new teaching materials, and designing teaching units based on 'mathematicians' common sense' (or on logic) have not resulted in a better understanding of mathematics by more students. The failure of such efforts has raised questions suggesting that what was missing at the outset of these proposals, designs, and productions was a more profound knowledge of the phenomena of learning and teaching mathematics in socially established and culturally, politically, and economically justified institutions - namely, schools. Such knowledge cannot be built by mere juxtaposition of theories in disci plines such as psychology, sociology, and mathematics. Psychological theories focus on the individual learner. Theories of sociology of education look at the general laws of curriculum development, the specifics of pedagogic discourse as opposed to scientific discourse in general, the different possible pedagogic rela tions between the teacher and the taught, and other general problems in the inter face between education and society. Mathematics, aside from its theoretical contents, can be looked at from historical and epistemological points of view, clarifying the genetic development of its concepts, methods, and theories. This view can shed some light on the meaning of mathematical concepts and on the difficulties students have in teaching approaches that disregard the genetic development of these concepts.
Mathematics That Power Our World The How Is It Made
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Author : Joseph Khoury
language : en
Publisher: World Scientific
Release Date : 2016-05-12
Mathematics That Power Our World The How Is It Made written by Joseph Khoury and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-05-12 with Mathematics categories.
The Mathematics That Power Our World: How Is It Made? is an attempt to unveil the hidden mathematics behind the functioning of many of the devices we use on a daily basis. For the past years, discussions on the best approach in teaching and learning mathematics have shown how much the world is divided on this issue. The one reality we seem to agree on globally is the fact that our new generation is lacking interest and passion for the subject. One has the impression that the vast majority of young students finishing high school or in their early post-secondary studies are more and more divided into two main groups when it comes to the perception of mathematics. The first group looks at mathematics as a pure academic subject with little connection to the real world. The second group considers mathematics as a set of tools that a computer can be programmed to use and thus, a basic knowledge of the subject is sufficient. This book serves as a middle ground between these two views. Many of the elegant and seemingly theoretical concepts of mathematics are linked to state-of-the-art technologies. The topics of the book are selected carefully to make that link more relevant. They include: digital calculators, basics of data compression and the Huffman coding, the JPEG standard for data compression, the GPS system studied both from the receiver and the satellite ends, image processing and face recognition.This book is a great resource for mathematics educators in high schools, colleges and universities who want to engage their students in advanced readings that go beyond the classroom discussions. It is also a solid foundation for anyone thinking of pursuing a career in science or engineering. All efforts were made so that the exposition of each topic is as clear and self-contained as possible and thus, appealing to anyone trying to broaden his mathematical horizons.
Teaching Secondary And Middle School Mathematics
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Author : Daniel J. Brahier
language : en
Publisher: Routledge
Release Date : 2020-03-09
Teaching Secondary And Middle School Mathematics written by Daniel J. Brahier and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-03-09 with Education categories.
Teaching Secondary and Middle School Mathematics combines the latest developments in research, technology, and standards with a vibrant writing style to help teachers prepare for the excitement and challenges of teaching secondary and middle school mathematics. The book explores the mathematics teaching profession by examining the processes of planning, teaching, and assessing student progress through practical examples and recommendations. Beginning with an examination of what it means to teach and learn mathematics, the reader is led through the essential components of teaching, concluding with an examination of how teachers continue with professional development throughout their careers. Hundreds of citations are used to support the ideas presented in the text, and specific websites and other resources are presented for future study by the reader. Classroom scenarios are presented to engage the reader in thinking through specific challenges that are common in mathematics classrooms. The sixth edition has been updated and expanded with particular emphasis on the latest technology, resources, and standards. The reader is introduced to the ways that students think and how to best meet their needs through planning that involves attention to differentiation, as well as how to manage a classroom for success. Features include: The entire text has been reorganized so that assessment takes a more central role in planning and teaching. Unit 3 (of 5) now addresses the use of summative and formative assessments to inform classroom teaching practices. ● A new feature, "Links and Resources," has been added to each of the 13 chapters. While the book includes a substantial listing of citations and resources after the chapters, five strongly recommended and practical resources are spotlighted at the end of each chapter as an easy reference to some of the most important materials on the topic. ● Approximately 150 new citations have either replaced or been added to the text to reflect the latest in research, materials, and resources that support the teaching of mathematics. ● A Quick Reference Guide has been added to the front of the book to assist the reader in identifying the most useful chapter features by topic. ● A significant revision to Chapter 13 now includes discussions of common teaching assessments used for field experiences and licensure, as well as a discussion of practical suggestions for success in methods and student teaching experiences. ● Chapter 9 on the practical use of classroom technology has been revised to reflect the latest tools available to classroom teachers, including apps that can be run on handheld, personal devices. An updated Instructor’s Manual features a test bank, sample classroom activities, Powerpoint slides, chapter summaries, and learning outcomes for each chapter, and can be accessed by instructors online at www.routledge.com/9780367146511
Mathematics Teachers In Transition
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Author : Elizabeth Fennema
language : en
Publisher: Routledge
Release Date : 2013-04-03
Mathematics Teachers In Transition written by Elizabeth Fennema and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-04-03 with Education categories.
This book addresses the need of professional development leaders and policymakers for scholarly knowledge about influencing teachers to modify mathematical instruction to bring it more in alignment with the recommendations of the current reform movement initiated by the National Council of Teachers of Mathematics. The book presents: * theoretical perspectives for studying, analyzing, and understanding teacher change; * descriptions of contextual variables to be considered as one studies and attempts to understand teacher change; and * descriptions of professional development programs that resulted in teacher change. One chapter builds a rationale for looking to developmental psychology for guidance in constructing models of reconstructing new forms of mathematical instruction. Another highlights the relevance to mathematics teacher development of research-based knowledge about how children construct mathematical ideas. Other chapters explore the relationships between the various contexts of schooling and instructional change. Included also are chapters that describe and analyze major reform efforts designed to assist teachers in modifying their instructional practices (Cognitively Guided Instruction, Math-Cubed, Project Impact, Mathematics in Context, and the Case-Based Project). Finally, the current state of knowledge about encouraging teachers to modify their instruction is discussed, the implications of major research and implementation findings are suggested, and some of the major questions that need to be addressed are identified, such as what we have learned about teacher change.
Development Of Achievement Motivation
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Author : Allan Wigfield
language : en
Publisher: Elsevier
Release Date : 2002-04-04
Development Of Achievement Motivation written by Allan Wigfield and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002-04-04 with Psychology categories.
This book discusses research and theory on how motivation changes as children progress through school, gender differences in motivation, and motivational differences as an aspect of ethnicity. Motivation is discussed within the context of school achievement as well as athletic and musical performance.Key Features* Coverage of the major theories and constructs in the motivation field* Focus on developmental issues across the elementary and secondary school period* Discussion of instructional and theoretical issues regarding motivation* Consideration of gender and ethnic differences in motivation
Assessing Children S Mathematical Knowledge
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Author : Cooper, Barry
language : en
Publisher: McGraw-Hill Education (UK)
Release Date : 1999-12-01
Assessing Children S Mathematical Knowledge written by Cooper, Barry 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 1999-12-01 with Education categories.
'this work is highly relevant to the proliferation of accountability measures worldwide' James Scheurich and Douglas Foley In many countries, the lives of teachers and children are increasingly dominated by programmes of national testing of mathematics and other subjects. In England, the majority of the items in such tests have set mathematical tasks in every day situations such as 'shopping'. This requires children to make decisions about whether to use or not their own every day knowledge and experience in their problem-solving. Some children are likely to have a better 'feel for this game' than others. Assessing Children's Mathematical Knowledge draws on the analysis of national curriculum test data from more than 600 children of 10-11 and 13-14 years of age, as well as in-depth interviews with 250 of these as they attempt to solve test problems, in order to explore the nature of the difficulties children experience with 'realistic' items. The book shows, by comparing test and interview data, that many children, as a consequence of their confusion over the requirements of 'realistic' test items, fail in tests to demonstrate mathematical knowledge and understanding that they actually possess. The book also explores whether this problem of invalid measurement is equally spread across children from different social backgrounds, and across the sexes. The book will be of interest to academics and teachers studying for advanced degrees in mathematics education, sociology of education and educational assessment.
Elementary And Middle School Mathematics
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Author : John A. Van de Walle
language : en
Publisher: Addison Wesley Publishing Company
Release Date : 1998
Elementary And Middle School Mathematics written by John A. Van de Walle and has been published by Addison Wesley Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998 with Education categories.
John A. Van de Walle has written a book that helps readers make sense of mathematics and become confident in their ability to teach mathematics to children K to 8. Elementatry and Middle School Mathematics consists of 16 chapters reflecting the view that all mathematics can be taught through a problem-solving approach that motivates children and builds their confidence as they learn. This book thoroughly discusses the new standards and clearly develops four key aspects of teaching mathematics: the nature of mathematics as a science of pattern and order; an understanding of how children learn mathematics; a problem solving view of teaching mathematics; and specific methods for integrating assessment with instruction. Simple yet effective classroom activities are woven throughout the chapters as well as suggestions for technology and literature.
Our Mathematical Universe
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Author : Max Tegmark
language : en
Publisher: Vintage
Release Date : 2014-01-07
Our Mathematical Universe written by Max Tegmark and has been published by Vintage this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-01-07 with Science categories.
Max Tegmark leads us on an astonishing journey through past, present and future, and through the physics, astronomy and mathematics that are the foundation of his work, most particularly his hypothesis that our physical reality is a mathematical structure and his theory of the ultimate multiverse. In a dazzling combination of both popular and groundbreaking science, he not only helps us grasp his often mind-boggling theories, but he also shares with us some of the often surprising triumphs and disappointments that have shaped his life as a scientist. Fascinating from first to last—this is a book that has already prompted the attention and admiration of some of the most prominent scientists and mathematicians.
Real World Problems For Secondary School Mathematics Students
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Author : Juergen Maasz
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-10-30
Real World Problems For Secondary School Mathematics Students written by Juergen Maasz 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 2011-10-30 with Education categories.
This is a book full of ideas for introducing real world problems into mathematics classrooms and assisting teachers and students to benefit from the experience. Taken as a whole these contributions provide a rich resource for mathematics teachers and their students that is readily available in a single volume. Nowadays there is a universal emphasis on teaching for understanding, motivating students to learn mathematics and using real world problems to improve the mathematics experience of school students. However, using real world problems in mathematics classrooms places extra demands on teachers in terms of extra-mathematical knowledge e.g. knowledge of the area of applications, and pedagogical knowledge. Care must also be taken to avoid overly complex situations and applications. Papers in this collection offer a practical perspective on these issues, and more. While many papers offer specific well worked out lesson type ideas, others concentrate on the teacher knowledge needed to introduce real world applications of mathematics into the classroom. We are confident that mathematics teachers who read the book will find a myriad of ways to introduce the material into their classrooms whether in ways suggested by the contributing authors or in their own ways, perhaps through mini-projects or extended projects or practical sessions or enquiry based learning. We are happy if they do! This book is written for mathematics classroom teachers and their students, mathematics teacher educators, and mathematics teachers in training at pre-service and in-service phases of their careers.