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Statistics and Probability in High School

Author: Carmen Batanero

Publisher: Springer

Published: 2016-07-27

Total Pages: 232

ISBN-13: 9463006249

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.

Statistics and Probability with Applications (High School)

Author: Daren S. Starnes

Publisher: Macmillan Higher Education

Published: 2016-09-30

Total Pages: 1532

ISBN-13: 131912013X

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Statistics and Probability with Applications, Third Edition is the only introductory statistics text written by high school teachers for high school teachers and students. Daren Starnes, Josh Tabor, and the extended team of contributors bring their in-depth understanding of statistics and the challenges faced by high school students and teachers to development of the text and its accompanying suite of print and interactive resources for learning and instruction. A complete re-envisioning of the authors’ Statistics Through Applications, this new text covers the core content for the course in a series of brief, manageable lessons, making it easy for students and teachers to stay on pace. Throughout, new pedagogical tools and lively real-life examples help captivate students and prepare them to use statistics in college courses and in any career.

Attacking Probability and Statistics Problems

Author: David S. Kahn

Publisher: Courier Dover Publications

Published: 2016-11-16

Total Pages: 163

ISBN-13: 0486801446

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Concise and highly focused, this volume offers everything high school and beginning college students need to know to handle problems in probability and statistics. Numerous rigorously tested examples and coherent, to-the-point explanations are presented in an easy-to-follow format. The treatment is organized in a way that permits readers to advance sequentially or skip around between chapters. An essential companion volume to the author's Attacking Trigonometry Problems and Attacking Problems in Logarithms and Exponential Functions, this book will equip students with the skills they will need to successfully approach the problems in probability and statistics that they will encounter on exams.

A Modern Introduction to Probability and Statistics

Author: F.M. Dekking

Publisher: Springer Science & Business Media

Published: 2006-03-30

Total Pages: 485

ISBN-13: 1846281687

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Suitable for self study Use real examples and real data sets that will be familiar to the audience Introduction to the bootstrap is included – this is a modern method missing in many other books

Advanced High School Statistics

Author: David Diez

Publisher:

Published: 2014-07-30

Total Pages: 402

ISBN-13: 9781500700683

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A free PDF copy of this textbook may be found on the project's website (do an online search for OpenIntro). This is a Preliminary Edition of a new textbook by OpenIntro that is focused on the advanced high school level.Chapters: 1 - Data Collection,2 - Summarizing Data,3 - Probability,4 - Distributions of Random Variables,5 - Foundation for Inference,6 - Inference for Categorical Data,7 - Inference for Numerical Data,8 - Introduction to Linear Regression.

Exploring Probability in School

Author: Graham A. Jones

Publisher: Springer Science & Business Media

Published: 2006-03-30

Total Pages: 394

ISBN-13: 0387245308

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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.

Introduction to Probability

Author: Joseph K. Blitzstein

Publisher: CRC Press

Published: 2014-07-24

Total Pages: 599

ISBN-13: 1466575573

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Developed from celebrated Harvard statistics lectures, Introduction to Probability provides essential language and tools for understanding statistics, randomness, and uncertainty. The book explores a wide variety of applications and examples, ranging from coincidences and paradoxes to Google PageRank and Markov chain Monte Carlo (MCMC). Additional application areas explored include genetics, medicine, computer science, and information theory. The print book version includes a code that provides free access to an eBook version. The authors present the material in an accessible style and motivate concepts using real-world examples. Throughout, they use stories to uncover connections between the fundamental distributions in statistics and conditioning to reduce complicated problems to manageable pieces. The book includes many intuitive explanations, diagrams, and practice problems. Each chapter ends with a section showing how to perform relevant simulations and calculations in R, a free statistical software environment.

High-Dimensional Probability

Author: Roman Vershynin

Publisher: Cambridge University Press

Published: 2018-09-27

Total Pages: 299

ISBN-13: 1108415199

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An integrated package of powerful probabilistic tools and key applications in modern mathematical data science.

Research on Teaching and Learning Probability

Author: Carmen Batanero

Publisher: Springer

Published: 2016-07-12

Total Pages: 40

ISBN-13: 3319316257

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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.

Simplified Statistics

Author: Kingsley Augustine

Publisher: Independently Published

Published: 2018-03-10

Total Pages: 60

ISBN-13: 9781980528463

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This is a statistics book which is suitable for students in high schools or secondary schools and colleges. It will also serve as a useful tool for students who are preparing for entrance examinations into colleges, universities and other higher institutions of learning. Students in the higher institutions taking 'lighter' courses in statistics and mathematics will also find this book useful, especially when there is need for improved statistical foundation for such students.The step by step explanations presented in the worked examples are easy to study and learn since care was taken to sufficiently explain salient points and mathematical ideas. Efforts have been made to achieve a complete and simplified explanation of every example given in this maths and statistics eBook. Many worked examples have been included in each topic in order to fully cover every complexity the topic might contain.Numerous exercises at the end of each chapter are intended to test students' understanding of the topic. Therefore students are thus presented with an effective means of self-assessment whereby they can determine their individual strengths and revision needs.The topics covered in this book include, collection and tabulation of data, mean median and mode of grouped data, mean median and mode of ungrouped data, mean deviation, variance and standard deviation, quartiles and percentiles by interpolation method.Readers with statistical mindsets will find these topics well simplified, thereby making mathematics more interesting.This e-book is designed to work with pinch-and-zoom on your device. This allows scrolling while zoomed in. You can use device navigation to access the table of contents and switch between chapters. In order to look inside this book, you can simply preview it by sending a sample to your devices.A constructive review of this statistics textbook will be highly appreciated from buyers so as to give ideas to others who intend to purchase a copy of this eBook, and also to be a form of advice for the author when revising the book.From the author of "Simplified Mathematics" and "Simplified Physics Calculations".