Exploring Probability

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Exploring Probability in School

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

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.

Exploring Probability

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Author : Claire M. Newman
Publisher :
ISBN 13 : 9780866513333
Total Pages : 0 pages
Book Rating : 4.5/5 (133 download)

Book Synopsis Exploring Probability by : Claire M. Newman

Download or read book Exploring Probability written by Claire M. Newman and published by . This book was released on 1987 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Exploring Probability and Statistics with Spreadsheets

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Author : Roger Jackson
Publisher : Prentice Hall PTR
ISBN 13 :
Total Pages : 252 pages
Book Rating : 4.:/5 (321 download)

Book Synopsis Exploring Probability and Statistics with Spreadsheets by : Roger Jackson

Download or read book Exploring Probability and Statistics with Spreadsheets written by Roger Jackson and published by Prentice Hall PTR. This book was released on 1995 with total page 252 pages. Available in PDF, EPUB and Kindle. Book excerpt: Probability theory is fundamental to the teaching and understanding of statistics. This book is dedicated to applying these laws in a variety of applications resulting in the formulation of the more common probability distributions.

Chance in Biology

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Author : Mark Denny
Publisher : Princeton University Press
ISBN 13 : 1400841402
Total Pages : 305 pages
Book Rating : 4.4/5 (8 download)

Book Synopsis Chance in Biology by : Mark Denny

Download or read book Chance in Biology written by Mark Denny and published by Princeton University Press. This book was released on 2011-10-23 with total page 305 pages. Available in PDF, EPUB and Kindle. Book excerpt: Life is a chancy proposition: from the movement of molecules to the age at which we die, chance plays a key role in the natural world. Traditionally, biologists have viewed the inevitable "noise" of life as an unfortunate complication. The authors of this book, however, treat random processes as a benefit. In this introduction to chance in biology, Mark Denny and Steven Gaines help readers to apply the probability theory needed to make sense of chance events--using examples from ocean waves to spiderwebs, in fields ranging from molecular mechanics to evolution. Through the application of probability theory, Denny and Gaines make predictions about how plants and animals work in a stochastic universe. Is it possible to pack a variety of ion channels into a cell membrane and have each operate at near-peak flow? Why are our arteries rubbery? The concept of a random walk provides the necessary insight. Is there an absolute upper limit to human life span? Could the sound of a cocktail party burst your eardrums? The statistics of extremes allows us to make the appropriate calculations. How long must you wait to see the detail in a moonlit landscape? Can you hear the noise of individual molecules? The authors provide answers to these and many other questions. After an introduction to the basic statistical methods to be used in this book, the authors emphasize the application of probability theory to biology rather than the details of the theory itself. Readers with an introductory background in calculus will be able to follow the reasoning, and sets of problems, together with their solutions, are offered to reinforce concepts. The use of real-world examples, numerous illustrations, and chapter summaries--all presented with clarity and wit--make for a highly accessible text. By relating the theory of probability to the understanding of form and function in living things, the authors seek to pique the reader's curiosity about statistics and provide a new perspective on the role of chance in biology.

Heads or Tails?

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Author : Greg Roza
Publisher : The Rosen Publishing Group, Inc
ISBN 13 : 0823988945
Total Pages : 27 pages
Book Rating : 4.8/5 (239 download)

Book Synopsis Heads or Tails? by : Greg Roza

Download or read book Heads or Tails? written by Greg Roza and published by The Rosen Publishing Group, Inc. This book was released on 2010-01-15 with total page 27 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introduces the concept of probability and shows how it works when flipping coins, spinning a spinner, rolling dice, and picking marbles out of a bag, including how the odds change with different spinners or changing numbers of dice or marbles.

Introduction to Probability

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Author : David F. Anderson
Publisher : Cambridge University Press
ISBN 13 : 110824498X
Total Pages : 447 pages
Book Rating : 4.1/5 (82 download)

Book Synopsis Introduction to Probability by : David F. Anderson

Download or read book Introduction to Probability written by David F. Anderson and published by Cambridge University Press. This book was released on 2017-11-02 with total page 447 pages. Available in PDF, EPUB and Kindle. Book excerpt: This classroom-tested textbook is an introduction to probability theory, with the right balance between mathematical precision, probabilistic intuition, and concrete applications. Introduction to Probability covers the material precisely, while avoiding excessive technical details. After introducing the basic vocabulary of randomness, including events, probabilities, and random variables, the text offers the reader a first glimpse of the major theorems of the subject: the law of large numbers and the central limit theorem. The important probability distributions are introduced organically as they arise from applications. The discrete and continuous sides of probability are treated together to emphasize their similarities. Intended for students with a calculus background, the text teaches not only the nuts and bolts of probability theory and how to solve specific problems, but also why the methods of solution work.

Probability, Statistics, and Truth

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Author : Richard Von Mises
Publisher : Courier Corporation
ISBN 13 : 0486242145
Total Pages : 273 pages
Book Rating : 4.4/5 (862 download)

Book Synopsis Probability, Statistics, and Truth by : Richard Von Mises

Download or read book Probability, Statistics, and Truth written by Richard Von Mises and published by Courier Corporation. This book was released on 1981-01-01 with total page 273 pages. Available in PDF, EPUB and Kindle. Book excerpt: This comprehensive study of probability considers the approaches of Pascal, Laplace, Poisson, and others. It also discusses Laws of Large Numbers, the theory of errors, and other relevant topics.

Research on Teaching and Learning Probability

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

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.

Statistics and Probability in High School

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Author : Carmen Batanero
Publisher : Springer
ISBN 13 : 9463006249
Total Pages : 232 pages
Book Rating : 4.4/5 (63 download)

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 232 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.

Chance Encounters: Probability in Education

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Author : R. Kapadia
Publisher : Springer Science & Business Media
ISBN 13 : 9401135320
Total Pages : 324 pages
Book Rating : 4.4/5 (11 download)

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 324 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.

Probability and Statistics by Example: Volume 1, Basic Probability and Statistics

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Author : Yuri Suhov
Publisher : Cambridge University Press
ISBN 13 : 1316062201
Total Pages : 477 pages
Book Rating : 4.3/5 (16 download)

Book Synopsis Probability and Statistics by Example: Volume 1, Basic Probability and Statistics by : Yuri Suhov

Download or read book Probability and Statistics by Example: Volume 1, Basic Probability and Statistics written by Yuri Suhov and published by Cambridge University Press. This book was released on 2014-09-22 with total page 477 pages. Available in PDF, EPUB and Kindle. Book excerpt: Probability and statistics are as much about intuition and problem solving as they are about theorem proving. Consequently, students can find it very difficult to make a successful transition from lectures to examinations to practice because the problems involved can vary so much in nature. Since the subject is critical in so many applications from insurance to telecommunications to bioinformatics, the authors have collected more than 200 worked examples and examination questions with complete solutions to help students develop a deep understanding of the subject rather than a superficial knowledge of sophisticated theories. With amusing stories and historical asides sprinkled throughout, this enjoyable book will leave students better equipped to solve problems in practice and under exam conditions.

Exploring Probability

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Author : Hachette Children's Books
Publisher :
ISBN 13 : 9780750200387
Total Pages : pages
Book Rating : 4.2/5 (3 download)

Book Synopsis Exploring Probability by : Hachette Children's Books

Download or read book Exploring Probability written by Hachette Children's Books and published by . This book was released on 1999-10-01 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Understanding Probability and Statistics

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Author : Ruma Falk
Publisher : A K Peters/CRC Press
ISBN 13 :
Total Pages : 264 pages
Book Rating : 4.X/5 (2 download)

Book Synopsis Understanding Probability and Statistics by : Ruma Falk

Download or read book Understanding Probability and Statistics written by Ruma Falk and published by A K Peters/CRC Press. This book was released on 1993-04-15 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Probability Theory and Statistical Inference

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Author : Aris Spanos
Publisher : Cambridge University Press
ISBN 13 : 1107185149
Total Pages : 787 pages
Book Rating : 4.1/5 (71 download)

Book Synopsis Probability Theory and Statistical Inference by : Aris Spanos

Download or read book Probability Theory and Statistical Inference written by Aris Spanos and published by Cambridge University Press. This book was released on 2019-09-19 with total page 787 pages. Available in PDF, EPUB and Kindle. Book excerpt: This empirical research methods course enables informed implementation of statistical procedures, giving rise to trustworthy evidence.

ENC Focus

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Author :
Publisher :
ISBN 13 :
Total Pages : 694 pages
Book Rating : 4.F/5 ( download)

Book Synopsis ENC Focus by :

Download or read book ENC Focus written by and published by . This book was released on 1994 with total page 694 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Examining an Operational Approach to Teaching Probability

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

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.

Authentic Learning Activities: Data Analysis, Statistics & Probability

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Author : Brendan Kelly
Publisher : Brendan Kelly Publishing Inc.
ISBN 13 : 9781895997194
Total Pages : 100 pages
Book Rating : 4.9/5 (971 download)

Book Synopsis Authentic Learning Activities: Data Analysis, Statistics & Probability by : Brendan Kelly

Download or read book Authentic Learning Activities: Data Analysis, Statistics & Probability written by Brendan Kelly and published by Brendan Kelly Publishing Inc.. This book was released on 2000 with total page 100 pages. Available in PDF, EPUB and Kindle. Book excerpt: