F R Alle F Lle Multiplikation Mithilfe Des Zahlenstrahls
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Magnificent Mistakes In Mathematics
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Author : Alfred S. Posamentier
language : en
Publisher: Prometheus Books
Release Date : 2013-08-13
Magnificent Mistakes In Mathematics written by Alfred S. Posamentier and has been published by Prometheus Books this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-08-13 with Mathematics categories.
Two veteran math educators demonstrate how some "magnificent mistakes" had profound consequences for our understanding of mathematics' key concepts. In the nineteenth century, English mathematician William Shanks spent fifteen years calculating the value of pi, setting a record for the number of decimal places. Later, his calculation was reproduced using large wooden numerals to decorate the cupola of a hall in the Palais de la Découverte in Paris. However, in 1946, with the aid of a mechanical desk calculator that ran for seventy hours, it was discovered that there was a mistake in the 528th decimal place. Today, supercomputers have determined the value of pi to trillions of decimal places. This is just one of the amusing and intriguing stories about mistakes in mathematics in this layperson's guide to mathematical principles. In another example, the authors show that when we "prove" that every triangle is isosceles, we are violating a concept not even known to Euclid - that of "betweenness." And if we disregard the time-honored Pythagorean theorem, this is a misuse of the concept of infinity. Even using correct procedures can sometimes lead to absurd - but enlightening - results. Requiring no more than high-school-level math competency, this playful excursion through the nuances of math will give you a better grasp of this fundamental, all-important science.
Making Sense Of Word Problems
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Author : Eric de Corte
language : en
Publisher: CRC Press
Release Date : 2000-01-01
Making Sense Of Word Problems written by Eric de Corte and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000-01-01 with Education categories.
Word problems have been a staple of mathematics instruction for centuries, yet the rationale for their use has remained largely unexamined. A range of findings have shown how students consistently answer them in ways that fail to take account of the reality of the situations described. This monograph reports on studies carried out to investigate this "suspension of sense-making" in answering word problems. In Part One, a wide range of examples documenting the strength of the phenomenon is reviewed. Initial surprise at the findings was replaced by a conviction that the explanation lies in the culture of the mathematics classroom, specifically the rules implicitly governing the nature and interpretation of the word problem genre. This theoretical shift is reflected in Part Two. A detailed analysis of the way in which word problems are currently taught in typical mathematical classrooms is followed by reviews of design experiments illustrating how, by immersing students in a fundamentally changed learning environment, they can acquire what the authors consider to be more appropriate conceptions about, and strategies for doing, word problems. Part Three turns to a wider discussion of theoretical issues, a further analysis of the features of the educational system considered responsible for outcomes detrimental to many students' understanding and conception of mathematics, and suggestions for rethinking the role of word problems within the curriculum.
Modelling And Applications In Mathematics Education
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Author : Peter L. Galbraith
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-12-05
Modelling And Applications In Mathematics Education written by Peter L. Galbraith 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 2007-12-05 with Education categories.
The book aims at showing the state-of-the-art in the field of modeling and applications in mathematics education. This is the first volume to do this. The book deals with the question of how key competencies of applications and modeling at the heart of mathematical literacy may be developed; with the roles that applications and modeling may play in mathematics teaching, making mathematics more relevant for students.
Early Childhood Environment Rating Scale Ecers 3
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Author : Thelma Harms
language : en
Publisher: Teachers College Press
Release Date : 2014-11-01
Early Childhood Environment Rating Scale Ecers 3 written by Thelma Harms and has been published by Teachers College Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-11-01 with Education categories.
The long-anticipated new version of the internationally recognized Early Childhood Environment Rating Scale®, ECERS-3, focuses on the full range of needs of preschool- and kindergarten-aged children. This widely used, comprehensive assessment tool measures both environmental provisions and teacher-child interactions that affect the broad developmental needs of young children, including: Cognitive Social-emotional Physical Health and safety ECERS-3 also includes additional Items assessing developmentally appropriate literacy and math activities. Designed for preschool, kindergarten, and child care classrooms serving children 3 through 5 years of age, ECERS-3: Provides a smooth transition for those already using ECERS-R. Emphasizes the role of the teacher in creating an environment conducive to developmental gains. Is designed to predict child outcomes more accurately and with greater precision. Provides a stronger method of distinguishing between good and truly excellent programs. Offers a complete training program with ongoing support available at the Environment Rating Scales Institute (ERSI) website (www.ersi.info). ECERS-3 is appropriate for state and district-wide QRIS and continuous improvement; program evaluation by directors and supervisors; teacher self-evaluation; monitoring by agency staff; and teacher education. The established reliability and long term evidence of validity of the ERS family of instruments make this new version of ECERS particularly useful for RTTT-ELC accountability and research. Suitable for use in inclusive and culturally diverse programs, ECERS-3 subscales evaluate: Space and Furnishings Personal Care Routines Language and Literacy Learning Activities Interaction Program Structure
Mathematical Miniatures
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Author : Svetoslav Savchev
language : en
Publisher: MAA
Release Date : 2003-02-27
Mathematical Miniatures written by Svetoslav Savchev and has been published by MAA this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-02-27 with Education categories.
Rather than simply a collection of problems, this book can be thought of as both a tool chest of mathematical techniques and an anthology of mathematical verse. The authors have grouped problems so as to illustrate and highlight a number of important techniques and have provided enlightening solutions in all cases. As well as this there are essays on topics that are not only beautiful but also useful. The essays are diverse and enlivened by fresh, non-standard ideas. This book not only teaches techniques but gives a flavour of their past, present and possible future implications. It is a collection of miniature mathematical works in the fullest sense.
Transformation Of Knowledge Through Classroom Interaction
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Author : Baruch Schwarz
language : en
Publisher: Routledge
Release Date : 2009-05-07
Transformation Of Knowledge Through Classroom Interaction written by Baruch Schwarz and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-05-07 with Education categories.
Transformation of Knowledge through Classroom Interaction examines and evaluates different ways which have been used to support students learning in classrooms.
Mind Bugs
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Author : Kurt VanLehn
language : en
Publisher: MIT Press
Release Date : 1990
Mind Bugs written by Kurt VanLehn and has been published by MIT Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990 with Psychology categories.
As children acquire arithmetic skills, they often develop 'bugs'--small, local misconceptions that cause systematic errors. Mind Bugs combines a novel cognitive simulation process with careful hypothesis testing to explore how mathematics students acquire procedural skills in instructional settings, focusing in particular on these procedural misconceptions and what they reveal about the learning process.
Theories Of Mathematics Education
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Author : Bharath Sriraman
language : en
Publisher: Springer Science & Business Media
Release Date : 2009-10-13
Theories Of Mathematics Education written by Bharath Sriraman 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 2009-10-13 with Education categories.
Advances in Mathematics Education is a new and innovative book series published by Springer that builds on the success and the rich history of ZDM—The Inter- tional Journal on Mathematics Education (formerly known as Zentralblatt für - daktik der Mathematik). One characteristic of ZDM since its inception in 1969 has been the publication of themed issues that aim to bring the state-of-the-art on c- tral sub-domains within mathematics education. The published issues include a rich variety of topics and contributions that continue to be of relevance today. The newly established monograph series aims to integrate, synthesize and extend papers from previously published themed issues of importance today, by orienting these issues towards the future state of the art. The main idea is to move the ?eld forward with a book series that looks to the future by building on the past by carefully choosing viable ideas that can fruitfully mutate and inspire the next generations. Taking ins- ration from Henri Poincaré (1854–1912), who said “To create consists precisely in not making useless combinations and in making those which are useful and which are only a small minority.
Mathematics Education In Different Cultural Traditions A Comparative Study Of East Asia And The West
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Author : Frederick Koon-Shing Leung
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-08-02
Mathematics Education In Different Cultural Traditions A Comparative Study Of East Asia And The West written by Frederick Koon-Shing Leung 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 2006-08-02 with Education categories.
The idea of the ICMI Study 13 is outlined as follows: Education in any social environment is influenced in many ways by the traditions of these environments. This study brings together leading experts to research and report on mathematics education in a global context. Mathematics education faces a split phenomenon of difference and correspondence. A study attempting a comparison between mathematics education in different traditions will be helpful to understanding this phenomenon.
Technology In Mathematics Education
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Author : Mathematics Education Research Group of Australasia. Conference
language : en
Publisher:
Release Date : 1996
Technology In Mathematics Education written by Mathematics Education Research Group of Australasia. Conference and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996 with Mathematics categories.
This document contains papers presented at the 19th annual conference of the Mathematics Education Research Group of Australasia. Topics of the presentations include learning research, mathematical representations, problem solving, strategic learning behaviors, algebraic thinking and learning environments, teaching and learning of algebra, assessment, disabilities, calculators, collective argumentation, teachers' beliefs and practice, primary mathematics, differential calculus, teachers' knowledge, trigonometry and geometry, professional development, issues in teaching, standardizing the curriculum, team writing, statistics, Newman error analysis, gender issues, Internet, transition to secondary mathematics, computers and technology, negative numbers, subtraction, aboriginal educators' views, graphics calculators, language, area, probability, word problems, classroom communication, mathematical investigations, ethics and morality, integrating science and mathematics concepts, students' attitudes, instructional computing, expository writing, mathematical autobiographies, problem posing, misconceptions, discussion-based teaching, the Riemann integral, diagrams for solving word problems, fairness and fractions in early childhood, children's probability judgments, phenomenology of writing-to-learn, teachers' beliefs about teaching behaviors, and linear programming. An author index and a subject index are also included. (JRH)