Chance Encounters Probability In Education

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Chance Encounters: Probability in Education

Author : R. Kapadia
Publisher : Springer Science & Business Media
ISBN 13 : 9401135320
Total Pages : 267 pages
Book Rating : 4.4/5 (11 download)

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Book Synopsis Chance Encounters: Probability in Education by : R. Kapadia

Download or read book Chance Encounters: Probability in Education written by R. Kapadia and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 267 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book has been written to fIll a substantial gap in the current literature in mathemat ical education. Throughout the world, school mathematical curricula have incorporated probability and statistics as new topics. There have been many research papers written on specifIc aspects of teaching, presenting novel and unusual approaches to introducing ideas in the classroom; however, there has been no book giving an overview. Here we have decided to focus on probability, making reference to inferential statistics where appropriate; we have deliberately avoided descriptive statistics as it is a separate area and would have made ideas less coherent and the book excessively long. A general lead has been taken from the fIrst book in this series written by the man who, probably more than everyone else, has established mathematical education as an aca demic discipline. However, in his exposition of didactical phenomenology, Freudenthal does not analyze probability. Thus, in this book, we show how probability is able to organize the world of chance and idealized chance phenomena based on its development and applications. In preparing these chapters we and our co-authors have reflected on our own acquisition of probabilistic ideas, analyzed textbooks, and observed and reflect ed upon the learning processes involved when children and adults struggle to acquire the relevant concepts.

Chance Encounters

Author :
Publisher : Heinemann Educational Publishers
ISBN 13 :
Total Pages : 282 pages
Book Rating : 4.X/5 (2 download)

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Book Synopsis Chance Encounters by :

Download or read book Chance Encounters written by and published by Heinemann Educational Publishers. This book was released on 1995 with total page 282 pages. Available in PDF, EPUB and Kindle. Book excerpt: Students from grades six and seven conduct experiment with number cube, coin, and spinner games to investigate such questions as: which game gives you a better chance of winning? Why does the same game get different results? Hands-on experience builds an understanding of randomness and probability.

Exploring Probability in School

Author : Graham A. Jones
Publisher : Springer Science & Business Media
ISBN 13 : 0387245308
Total Pages : 394 pages
Book Rating : 4.3/5 (872 download)

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Book Synopsis Exploring Probability in School by : Graham A. Jones

Download or read book Exploring Probability in School written by Graham A. Jones and published by Springer Science & Business Media. This book was released on 2006-03-30 with total page 394 pages. Available in PDF, EPUB and Kindle. Book excerpt: Exploring Probability in School provides a new perspective into research on the teaching and learning of probability. It creates this perspective by recognizing and analysing the special challenges faced by teachers and learners in contemporary classrooms where probability has recently become a mainstream part of the curriculum from early childhood through high school. The authors of the book discuss the nature of probability, look at the meaning of probabilistic literacy, and examine student access to powerful ideas in probability during the elementary, middle, and high school years. Moreover, they assemble and analyse research-based pedagogical knowledge for teachers that can enhance the learning of probability throughout these school years. With the book’s rich application of probability research to classroom practice, it will not only be essential reading for researchers and graduate students involved in probability education; it will also capture the interest of educational policy makers, curriculum personnel, teacher educators, and teachers.

International Handbook of Mathematics Education

Author : Alan Bishop
Publisher : Springer Science & Business Media
ISBN 13 : 9400914652
Total Pages : 1336 pages
Book Rating : 4.4/5 (9 download)

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Book Synopsis International Handbook of Mathematics Education by : Alan Bishop

Download or read book International Handbook of Mathematics Education written by Alan Bishop and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 1336 pages. Available in PDF, EPUB and Kindle. Book excerpt: ALAN J. BISHOP Monash University, Clayton, Victoria, Australia RATIONALE Mathematics Education is becoming a well-documented field with many books, journals and international conferences focusing on a variety of aspects relating to theory, research and practice. That documentation also reflects the fact that the field has expanded enormously in the last twenty years. At the 8th International Congress on Mathematics Education (ICME) in Seville, Spain, for example, there were 26 specialist Working Groups and 26 special ist Topic Groups, as well as a host of other group activities. In 1950 the 'Commission Internationale pour I 'Etude et l' Amelioration de l'Enseignement des Mathematiques' (CIEAEM) was formed and twenty years ago another active group, the 'International Group for the Psychology of Mathematics Education' (PME), began at the third ICME at Karlsruhe in 1976. Since then several other specialist groups have been formed, and are also active through regular conferences and publications, as documented in Edward Jacobsen's Chapter 34 in this volume.

Teaching Statistics in School Mathematics-Challenges for Teaching and Teacher Education

Author : Carmen Batanero
Publisher : Springer Science & Business Media
ISBN 13 : 9789400711310
Total Pages : 425 pages
Book Rating : 4.7/5 (113 download)

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Book Synopsis Teaching Statistics in School Mathematics-Challenges for Teaching and Teacher Education by : Carmen Batanero

Download or read book Teaching Statistics in School Mathematics-Challenges for Teaching and Teacher Education written by Carmen Batanero and published by Springer Science & Business Media. This book was released on 2011-07-31 with total page 425 pages. Available in PDF, EPUB and Kindle. Book excerpt: Teaching Statistics in School Mathematics-Challenges for Teaching and Teacher Education results from the Joint ICMI/IASE Study Teaching Statistics in School Mathematics: Challenges for Teaching and Teacher Education. Oriented to analyse the teaching of statistics in school and to recommend improvements in the training of mathematics teachers to encourage success in preparing statistically literate students, the volume provides a picture of the current situation in both the teaching of school statistics and the pre-service education of mathematics teachers. A primary goal of Teaching Statistics in School Mathematics-Challenges for Teaching and Teacher Education is to describe the essential elements of statistics, teacher’s professional knowledge and their learning experiences. Moreover, a research agenda that invites new research, while building from current knowledge, is developed. Recommendations about strategies and materials, available to train prospective teachers in university and in-service teachers who have not been adequately prepared, are also accessible to the reader.

Chance Encounters

Author : C. J. Wild
Publisher : Wiley
ISBN 13 : 9780471329367
Total Pages : 0 pages
Book Rating : 4.3/5 (293 download)

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Book Synopsis Chance Encounters by : C. J. Wild

Download or read book Chance Encounters written by C. J. Wild and published by Wiley. This book was released on 1999-11-30 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: A text for the non-majors introductory statistics service course. The chapters--including Web site material--can be organized for one or two semester sequences; algrebra is the mathematics prerequisite. Web site chapters on quality control, time series, plus business applications regularly throughout the work make it suitable for business statistics courses on some campuses. The text combines lucid and statistically engaging exposition, graphic and poignantly applied examples, realistic exercise settings to take student past the mechanics of introductory-level statistical techniques into the realm of practical data analysis and inference-based problem solving.

Examining an Operational Approach to Teaching Probability

Author : Drivet, Alessio
Publisher : IGI Global
ISBN 13 : 1799838722
Total Pages : 369 pages
Book Rating : 4.7/5 (998 download)

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Book Synopsis Examining an Operational Approach to Teaching Probability by : Drivet, Alessio

Download or read book Examining an Operational Approach to Teaching Probability written by Drivet, Alessio and published by IGI Global. This book was released on 2020-12-18 with total page 369 pages. Available in PDF, EPUB and Kindle. Book excerpt: Several years ago, there began a consideration of the inadequacy of a traditional approach to teaching mathematics. Many teachers and perhaps a majority of the students often realize something is wrong with these methods and report a lack of enthusiasm in dealing with the discipline. Many teachers think that certain established habits have a serious pedagogical basis, and therefore, it is difficult to question them. In addition, perhaps, there is also a certain fear in imagining and experimenting with new ways. Unfortunately, the excessive use of examples and abstract formulations with exclusive reference to algebraic language distances the student from the pleasure of the discipline. Mathematics, on the other hand, requires attention and concentration, but the understanding of its meaning gives rise to interest, pleasure to discover, and promotes deep learning. This is where studying probability from an operational approach has gained much traction. The most interesting aspect is the use of a very artisanal approach, starting with objects that students can, in part, find in their daily lives. Trying to identify objects and situations that speak of "different mathematics," embodied in everyday life, may offer more possibilities to deal with the mathematical illiteracy that seems to afflict a large part of our society. Examining an Operational Approach to Teaching Probability focuses on probability examined from an educational point of view and the implementation of a very concrete operational approach in the classroom. Two main pillars are examined within this book: concrete objects and IT tools used to perform simulations for probability teaching. Each chapter is devoted to an essential concept related to probability and covers the operational approach all the way from its historical development to types of probability studies, different teaching methods within the approach, and the theories surrounding it. This book is ideal for pre-service and in-service teachers looking for nontraditional approaches in teaching along with instructional designers, curricula developers, practitioners, researchers, academicians, and students interested in learning more about operational research and the use of objects to introduce probabilistic concepts in a new method of teaching.

Research on Teaching and Learning Probability

Author : Carmen Batanero
Publisher : Springer
ISBN 13 : 3319316257
Total Pages : 40 pages
Book Rating : 4.3/5 (193 download)

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Book Synopsis Research on Teaching and Learning Probability by : Carmen Batanero

Download or read book Research on Teaching and Learning Probability written by Carmen Batanero and published by Springer. This book was released on 2016-07-12 with total page 40 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book summarizes the vast amount of research related to teaching and learning probability that has been conducted for more than 50 years in a variety of disciplines. It begins with a synthesis of the most important probability interpretations throughout history: intuitive, classical, frequentist, subjective, logical propensity and axiomatic views. It discusses their possible applications, philosophical problems, as well as their potential and the level of interest they enjoy at different educational levels. Next, the book describes the main features of probabilistic thinking and reasoning, including the contrast to classical logic, probability language features, the role of intuitions, as well as paradoxes and the relevance of modeling. It presents an analysis of the differences between conditioning and causation, the variability expression in data as a sum of random and causal variations, as well as those of probabilistic versus statistical thinking. This is followed by an analysis of probability’s role and main presence in school curricula and an outline of the central expectations in recent curricular guidelines at the primary, secondary and high school level in several countries. This book classifies and discusses in detail the three different research periods on students’ and people’s intuitions and difficulties concerning probability: early research focused on cognitive development, a period of heuristics and biases programs, and the current period marked by a multitude of foci, approaches and theoretical frameworks.

Probabilistic Thinking

Author : Egan J. Chernoff
Publisher : Springer Science & Business Media
ISBN 13 : 940077155X
Total Pages : 747 pages
Book Rating : 4.4/5 (7 download)

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Book Synopsis Probabilistic Thinking by : Egan J. Chernoff

Download or read book Probabilistic Thinking written by Egan J. Chernoff and published by Springer Science & Business Media. This book was released on 2013-12-05 with total page 747 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume provides a necessary, current and extensive analysis of probabilistic thinking from a number of mathematicians, mathematics educators, and psychologists. The work of 58 contributing authors, investigating probabilistic thinking across the globe, is encapsulated in 6 prefaces, 29 chapters and 6 commentaries. Ultimately, the four main perspectives presented in this volume (Mathematics and Philosophy, Psychology, Stochastics and Mathematics Education) are designed to represent probabilistic thinking in a greater context.

Encyclopedia of Mathematics Education

Author : Louise Grinstein
Publisher : Routledge
ISBN 13 : 1136787224
Total Pages : 911 pages
Book Rating : 4.1/5 (367 download)

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Book Synopsis Encyclopedia of Mathematics Education by : Louise Grinstein

Download or read book Encyclopedia of Mathematics Education written by Louise Grinstein and published by Routledge. This book was released on 2001-03-15 with total page 911 pages. Available in PDF, EPUB and Kindle. Book excerpt: This single-volume reference is designed for readers and researchers investigating national and international aspects of mathematics education at the elementary, secondary, and post-secondary levels. It contains more than 400 entries, arranged alphabetically by headings of greatest pertinence to mathematics education. The scope is comprehensive, encompassing all major areas of mathematics education, including assessment, content and instructional procedures, curriculum, enrichment, international comparisons, and psychology of learning and instruction.

Teaching and Learning Stochastics

Author : Carmen Batanero
Publisher : Springer
ISBN 13 : 3319728717
Total Pages : 384 pages
Book Rating : 4.3/5 (197 download)

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Book Synopsis Teaching and Learning Stochastics by : Carmen Batanero

Download or read book Teaching and Learning Stochastics written by Carmen Batanero and published by Springer. This book was released on 2018-03-01 with total page 384 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a collection of selected papers that represent the current variety of research on the teaching and learning of probability. The respective chapters address a diverse range of theoretical, empirical and practical aspects underpinning the teaching and learning of probability, curricular issues, probabilistic reasoning, misconceptions and biases, as well as their pedagogical implications. These chapters are divided into THREE main sections, dealing with: TEACHING PROBABILITY, STUDENTS' REASONING AND LEARNING AND EDUCATION OF TEACHERS. In brief, the papers presented here include research dealing with teachers and students at different levels and ages (from primary school to university) and address epistemological and curricular analysis, as well as the role of technology, simulations, language and visualisation in teaching and learning probability. As such, it offers essential information for teachers, researchers and curricular designers alike.

International Handbook of Research in Statistics Education

Author : Dani Ben-Zvi
Publisher : Springer
ISBN 13 : 3319661957
Total Pages : 512 pages
Book Rating : 4.3/5 (196 download)

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Book Synopsis International Handbook of Research in Statistics Education by : Dani Ben-Zvi

Download or read book International Handbook of Research in Statistics Education written by Dani Ben-Zvi and published by Springer. This book was released on 2017-12-08 with total page 512 pages. Available in PDF, EPUB and Kindle. Book excerpt: This handbook connects the practice of statistics to the teaching and learning of the subject with contributions from experts in several disciplines. Chapters present current challenges and methods of statistics education in the changing world for statistics and mathematics educators. Issues addressed include current and future challenges in professional development of teachers, use of technology tools, design of learning environments and appropriate student assessments. This handbook presents challenging and inspiring international research perspectives on the history and nature, current issues, and future directions of statistics education and statistics education research.

Second Handbook of Research on Mathematics Teaching and Learning

Author : Frank K. Lester
Publisher : IAP
ISBN 13 : 160752709X
Total Pages : 725 pages
Book Rating : 4.6/5 (75 download)

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Book Synopsis Second Handbook of Research on Mathematics Teaching and Learning by : Frank K. Lester

Download or read book Second Handbook of Research on Mathematics Teaching and Learning written by Frank K. Lester and published by IAP. This book was released on 2007-02-01 with total page 725 pages. Available in PDF, EPUB and Kindle. Book excerpt: The audience remains much the same as for the 1992 Handbook, namely, mathematics education researchers and other scholars conducting work in mathematics education. This group includes college and university faculty, graduate students, investigators in research and development centers, and staff members at federal, state, and local agencies that conduct and use research within the discipline of mathematics. The intent of the authors of this volume is to provide useful perspectives as well as pertinent information for conducting investigations that are informed by previous work. The Handbook should also be a useful textbook for graduate research seminars. In addition to the audience mentioned above, the present Handbook contains chapters that should be relevant to four other groups: teacher educators, curriculum developers, state and national policy makers, and test developers and others involved with assessment. Taken as a whole, the chapters reflects the mathematics education research community's willingness to accept the challenge of helping the public understand what mathematics education research is all about and what the relevance of their research fi ndings might be for those outside their immediate community.

Statistics and Probability in High School

Author : Carmen Batanero
Publisher : Springer
ISBN 13 : 9463006249
Total Pages : 224 pages
Book Rating : 4.4/5 (63 download)

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Book Synopsis Statistics and Probability in High School by : Carmen Batanero

Download or read book Statistics and Probability in High School written by Carmen Batanero and published by Springer. This book was released on 2016-07-27 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt: Statistics and probability are fascinating fields, tightly interwoven with the context of the problems which have to be modelled. The authors demonstrate how investigations and experiments provide promising teaching strategies to help high-school students acquire statistical and probabilistic literacy. In the first chapter the authors put into practice the following educational principles, reflecting their views of how these subjects should be taught: a focus on the most relevant ideas and postpone extensions to later stages; illustrating the complementary/dual nature of statistical and probabilistic reasoning; utilising the potential of technology and show its limits; and reflecting on the different levels of formalisation to meet the wide variety of students’ previous knowledge, abilities, and learning types. The remaining chapters deal with exploratory data analysis, modelling information by probabilities, exploring and modelling association, and with sampling and inference. Throughout the book, a modelling view of the concepts guides the presentation. In each chapter, the development of a cluster of fundamental ideas is centred around a statistical study or a real-world problem that leads to statistical questions requiring data in order to be answered. The concepts developed are designed to lead to meaningful solutions rather than remain abstract entities. For each cluster of ideas, the authors review the relevant research on misconceptions and synthesise the results of research in order to support teaching of statistics and probability in high school. What makes this book unique is its rich source of worked-through tasks and its focus on the interrelations between teaching and empirical research on understanding statistics and probability.

Encyclopedia of Information Science and Technology, Fourth Edition

Author : Khosrow-Pour, D.B.A., Mehdi
Publisher : IGI Global
ISBN 13 : 1522522565
Total Pages : 8104 pages
Book Rating : 4.5/5 (225 download)

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Book Synopsis Encyclopedia of Information Science and Technology, Fourth Edition by : Khosrow-Pour, D.B.A., Mehdi

Download or read book Encyclopedia of Information Science and Technology, Fourth Edition written by Khosrow-Pour, D.B.A., Mehdi and published by IGI Global. This book was released on 2017-06-20 with total page 8104 pages. Available in PDF, EPUB and Kindle. Book excerpt: In recent years, our world has experienced a profound shift and progression in available computing and knowledge sharing innovations. These emerging advancements have developed at a rapid pace, disseminating into and affecting numerous aspects of contemporary society. This has created a pivotal need for an innovative compendium encompassing the latest trends, concepts, and issues surrounding this relevant discipline area. During the past 15 years, the Encyclopedia of Information Science and Technology has become recognized as one of the landmark sources of the latest knowledge and discoveries in this discipline. The Encyclopedia of Information Science and Technology, Fourth Edition is a 10-volume set which includes 705 original and previously unpublished research articles covering a full range of perspectives, applications, and techniques contributed by thousands of experts and researchers from around the globe. This authoritative encyclopedia is an all-encompassing, well-established reference source that is ideally designed to disseminate the most forward-thinking and diverse research findings. With critical perspectives on the impact of information science management and new technologies in modern settings, including but not limited to computer science, education, healthcare, government, engineering, business, and natural and physical sciences, it is a pivotal and relevant source of knowledge that will benefit every professional within the field of information science and technology and is an invaluable addition to every academic and corporate library.

ENC Focus

Author :
Publisher :
ISBN 13 :
Total Pages : 88 pages
Book Rating : 4.:/5 (3 download)

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Book Synopsis ENC Focus by :

Download or read book ENC Focus written by and published by . This book was released on 1999 with total page 88 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Transformation - A Fundamental Idea of Mathematics Education

Author : Sebastian Rezat
Publisher : Springer Science & Business Media
ISBN 13 : 1461434890
Total Pages : 409 pages
Book Rating : 4.4/5 (614 download)

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Book Synopsis Transformation - A Fundamental Idea of Mathematics Education by : Sebastian Rezat

Download or read book Transformation - A Fundamental Idea of Mathematics Education written by Sebastian Rezat and published by Springer Science & Business Media. This book was released on 2013-12-13 with total page 409 pages. Available in PDF, EPUB and Kindle. Book excerpt: The diversity of research domains and theories in the field of mathematics education has been a permanent subject of discussions from the origins of the discipline up to the present. On the one hand the diversity is regarded as a resource for rich scientific development on the other hand it gives rise to the often repeated criticism of the discipline’s lack of focus and identity. As one way of focusing on core issues of the discipline the book seeks to open up a discussion about fundamental ideas in the field of mathematics education that permeate different research domains and perspectives. The book addresses transformation as one fundamental idea in mathematics education and examines it from different perspectives. Transformations are related to knowledge, related to signs and representations of mathematics, related to concepts and ideas, and related to instruments for the learning of mathematics. The book seeks to answer the following questions: What do we know about transformations in the different domains? What kinds of transformations are crucial? How is transformation in each case conceptualized?