Exploring Probability In School
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Exploring Probability In School
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Author : Graham A. Jones
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-03-30
Exploring Probability In School written by Graham A. Jones 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 2006-03-30 with Education categories.
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.
Statistics And Probability In High School
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Author : Carmen Batanero
language : en
Publisher: Springer
Release Date : 2016-07-27
Statistics And Probability In High School written by Carmen Batanero and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-07-27 with Education categories.
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.
Exploring Probability
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Author : Claire M. Newman
language : en
Publisher:
Release Date : 1987
Exploring Probability written by Claire M. Newman and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1987 with Mathematical statistics categories.
Funded by the National Science Foundation and written by members of the American Statistical Association and the National Council of Teachers of Mathematics, this series introduces and teaches important topics in a secondary math curriculum.
Chance Encounters Probability In Education
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Author : R. Kapadia
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Chance Encounters Probability In Education written by R. Kapadia 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 2012-12-06 with Education categories.
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.
Research On Teaching And Learning Probability
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Author : Carmen Batanero
language : en
Publisher: Springer
Release Date : 2016-07-12
Research On Teaching And Learning Probability written by Carmen Batanero and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-07-12 with Education categories.
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.
Exploring Probability In School
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Author : Graham A. Jones
language : en
Publisher: Springer
Release Date : 2008-11-01
Exploring Probability In School written by Graham A. Jones and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-11-01 with Education categories.
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.
The Proceedings Of The 12th International Congress On Mathematical Education
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Author : Sung Je Cho
language : en
Publisher: Springer
Release Date : 2015-02-10
The Proceedings Of The 12th International Congress On Mathematical Education written by Sung Je Cho and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-02-10 with Education categories.
This book comprises the Proceedings of the 12th International Congress on Mathematical Education (ICME-12), which was held at COEX in Seoul, Korea, from July 8th to 15th, 2012. ICME-12 brought together 3500 experts from 92 countries, working to understand all of the intellectual and attitudinal challenges in the subject of mathematics education as a multidisciplinary research and practice. This work aims to serve as a platform for deeper, more sensitive and more collaborative involvement of all major contributors towards educational improvement and in research on the nature of teaching and learning in mathematics education. It introduces the major activities of ICME-12 which have successfully contributed to the sustainable development of mathematics education across the world. The program provides food for thought and inspiration for practice for everyone with an interest in mathematics education and makes an essential reference for teacher educators, curriculum developers and researchers in mathematics education. The work includes the texts of the four plenary lectures and three plenary panels and reports of three survey groups, five National presentations, the abstracts of fifty one Regular lectures, reports of thirty seven Topic Study Groups and seventeen Discussion Groups.
In All Probability
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Author : Celia Cuomo
language : en
Publisher: Great Explorations
Release Date : 1998
In All Probability written by Celia Cuomo and has been published by Great Explorations this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998 with Education categories.
Students, grades 3-6, play games that involve coins, spinners, dice and Native American game sticks. They investigate chance and probability with concrete materials, learn how to gather and analyze data, make predictions, and draw conclusions. As they gain direct experience, they also build confidence in their ability to explore probability and statistics. This popular guide is complete with background information on real-life connections and careers, and on the probabilities involved in each of the games.
What Are My Chances
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Author : Linda Griffin
language : en
Publisher: Instructional Fair
Release Date : 1998
What Are My Chances written by Linda Griffin and has been published by Instructional Fair this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998 with Juvenile Nonfiction categories.
Dynamic and motivating activities involve students in a basic understanding of the nature of probability. Games of chance, investment plans, probability trees, and expected value are just a few of the topics covered. Students make predictions, collect data, and analyze their results. Realistic situations will help students to develop number sense about chance events and apply this knowledge to making reasonable predictions about uncertain events. Based on NCTM Standards.
Exploring Probability
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Author : Hachette Children's Books
language : en
Publisher:
Release Date : 1999-10-01
Exploring Probability written by Hachette Children's Books and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999-10-01 with categories.