Statistics and Probability in High School

Statistics and Probability in High School
Author: Carmen Batanero,Manfred Borovcnik
Publsiher: Springer
Total Pages: 224
Release: 2016-07-27
Genre: Education
ISBN: 9789463006248

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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.

Focus in High School Mathematics

Focus in High School Mathematics
Author: Michael Shaughnessy,Beth L. Chance,Henry Kranendonk
Publsiher: National Council of Teachers of
Total Pages: 111
Release: 2009
Genre: Education
ISBN: 0873536428

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Reasoning about and making sense of statistics and probability are essential to students’ future success. This volume belongs to a series that supports NCTM’s Focus in High School Mathematics: Reasoning and Sense Making by providing additional guidance for making reasoning and sense making part of the mathematics experiences of all high school students every day. Six investigations illustrate how to help high school students develop their skills in working with data. The investigations emphasise the roles of reasoning and sense making in defining a statistical question and collecting, analysing and interpreting data to answer it. The authors examine the key elements of statistical reasoning identified in Focus in High School Mathematics: Reasoning and Sense Making and elaborate on the associated reasoning habits. The investigations show how students can use these habits in analysing data sets, constructing and comparing representations of data and using samples and simulations to gather data. They reason about distributions of data and how to use measures of centre, lines of best fit and other tools and techniques to detect trends, make predictions and determine the allowable scope of conclusions. The development of statistical reasoning must be a high priority for school mathematics. This book offers a blueprint for emphasising statistical reasoning and sense making in the high school curriculum.

Statistics and Probability with Applications High School

Statistics and Probability with Applications  High School
Author: Daren S. Starnes,Josh Tabor
Publsiher: Macmillan Higher Education
Total Pages: 800
Release: 2016-09-30
Genre: Business & Economics
ISBN: 9781319120139

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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.

Algebra Statistics and Probability

Algebra  Statistics and Probability
Author: Kingsley Augustine
Publsiher: Independently Published
Total Pages: 194
Release: 2018-08-11
Genre: Mathematics
ISBN: 1718013892

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This book, Algebra, Statistics and Probability, has been carefully written to teach you some topics in mathematics by explaining them with a mindset to fully equip you in the topics. Whether you want this book for general studies of mathematics, or you want this book to study for an exam, you will find it a very useful companion.This book is a mathematics teacher which is suitable for students in high schools or secondary schools and students in colleges. It will also serve as a useful tool for students who are preparing for entrance examinations into colleges and universities. Students in the higher institutions taking courses in mathematics will also find this maths book useful, especially when there is need for improved mathematical foundation for such students.The step by step explanations presented in the worked examples are easy to study 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 textbook. Many worked examples have been included in each topic in order to fully cover every complexity the topic might contain. This book will boost your level of understanding of algebra, statistics and probability. 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 textbook include many areas under linear algebra, statistics, probability and even numbers and numerations. The topics include:*NUMBER BASES*MODULAR ARITHMETIC*STANDARD FORM AND APPROXIMATION OF NUMBERS*LAWS OF INDICES*LOGARITHMS OF NUMBERS GREATER THAN 1 - USE OF TABLES*THEORY OF LOGARITHMS*LINEAR EQUATIONS AND CHANGE OF SUBJECT OF FORMULAE*VARIATION*COLLECTION AND TABULATION OF DATA*MEAN, MEDIAN AND MODE OF UNGROUPED DATA*COLLECTION AND TABULATION OF GROUPED DATA*MEAN, MEDIAN AND MODE OF GROUPED DATA*MEAN DEVIATION*VARIANCE AND STANDARD DEVIATION*QUARTILES AND PERCENTILES BY INTERPOLATION METHOD*THE BASIC THEORY OF PROBABILITY*PROBABILITY ON SIMPLE EVENTS*PROBABILITY ON PACK OF PLAYING CARDS*PROBABILITY ON TOSSING OF COINS*PROBABILITY ON THROWING OF DICE*MISCELLANEOUS PROBLEMS ON PROBABILITY Readers with mathematical mindsets will find these topics well simplified, thereby making mathematics more interesting.A constructive review of this mathematics textbook will be highly appreciated from buyers so as to give an overview to others who intend to purchase a copy of it, and also to be a form of advice for the author when revising the book.

Introductory Statistics

Introductory Statistics
Author: Barbara Illowsky,Susan Dean
Publsiher: Unknown
Total Pages: 906
Release: 2017-12-19
Genre: Education
ISBN: 9888407309

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Introductory Statistics is designed for the one-semester, introduction to statistics course and is geared toward students majoring in fields other than math or engineering. This text assumes students have been exposed to intermediate algebra, and it focuses on the applications of statistical knowledge rather than the theory behind it. The foundation of this textbook is Collaborative Statistics, by Barbara Illowsky and Susan Dean. Additional topics, examples, and ample opportunities for practice have been added to each chapter. The development choices for this textbook were made with the guidance of many faculty members who are deeply involved in teaching this course. These choices led to innovations in art, terminology, and practical applications, all with a goal of increasing relevance and accessibility for students. We strove to make the discipline meaningful, so that students can draw from it a working knowledge that will enrich their future studies and help them make sense of the world around them. Coverage and Scope Chapter 1 Sampling and Data Chapter 2 Descriptive Statistics Chapter 3 Probability Topics Chapter 4 Discrete Random Variables Chapter 5 Continuous Random Variables Chapter 6 The Normal Distribution Chapter 7 The Central Limit Theorem Chapter 8 Confidence Intervals Chapter 9 Hypothesis Testing with One Sample Chapter 10 Hypothesis Testing with Two Samples Chapter 11 The Chi-Square Distribution Chapter 12 Linear Regression and Correlation Chapter 13 F Distribution and One-Way ANOVA

Advanced High School Statistics

Advanced High School Statistics
Author: David Diez,Christopher Barr,Mine Çetinkaya-Rundel,Leah Dorazio
Publsiher: Unknown
Total Pages: 135
Release: 2015-05-10
Genre: Electronic Book
ISBN: 1943450005

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The OpenIntro project was founded in 2009 to improve the quality and availability of education by producing exceptional books and teaching tools that are free to use and easy to modify. We feature real data whenever possible, and files for the entire textbook are freely available at openintro.org.The future for OpenIntro depends on the involvement and enthusiasm of our community. Visit our website, openintro.org. We provide free videos, statistical software labs, lecture slides, course management tools, and many other helpful resources.

Exploring Probability in School

Exploring Probability in School
Author: Graham A. Jones
Publsiher: Springer Science & Business Media
Total Pages: 390
Release: 2005-03-21
Genre: Education
ISBN: 0387245294

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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.

The Common Core Mathematics Companion The Standards Decoded High School

The Common Core Mathematics Companion  The Standards Decoded  High School
Author: Frederick L. Dillon,W. Gary Martin,Basil M. Conway IV,Marilyn E. Strutchens
Publsiher: Corwin Press
Total Pages: 504
Release: 2017-09-12
Genre: Education
ISBN: 9781506395630

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When it comes to math, standards-aligned is achievement-aligned… Since The Common Core Mathematics Companions for grades K–2, 3–5 and 6–8 burst on the scene, they have been lauded as the best resources for making critical math ideas easy to teach. With this brand-new volume, high school mathematics success is at your fingertips. The authors lay out the pieces of an in-depth explanation, showing the mathematical progression of each conceptual category, how standards connect within and across domains, and what teachers and students should be doing every day to foster deep learning.

High Dimensional Probability

High Dimensional Probability
Author: Roman Vershynin
Publsiher: Cambridge University Press
Total Pages: 296
Release: 2018-09-27
Genre: Business & Economics
ISBN: 9781108415194

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

All of Statistics

All of Statistics
Author: Larry Wasserman
Publsiher: Springer Science & Business Media
Total Pages: 442
Release: 2013-12-11
Genre: Mathematics
ISBN: 9780387217369

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Taken literally, the title "All of Statistics" is an exaggeration. But in spirit, the title is apt, as the book does cover a much broader range of topics than a typical introductory book on mathematical statistics. This book is for people who want to learn probability and statistics quickly. It is suitable for graduate or advanced undergraduate students in computer science, mathematics, statistics, and related disciplines. The book includes modern topics like non-parametric curve estimation, bootstrapping, and classification, topics that are usually relegated to follow-up courses. The reader is presumed to know calculus and a little linear algebra. No previous knowledge of probability and statistics is required. Statistics, data mining, and machine learning are all concerned with collecting and analysing data.

Simplified Statistics

Simplified Statistics
Author: Kingsley Augustine
Publsiher: Independently Published
Total Pages: 60
Release: 2018-03-10
Genre: Study Aids
ISBN: 1980528462

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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".

Bayesian Statistics the Fun Way

Bayesian Statistics the Fun Way
Author: Will Kurt
Publsiher: No Starch Press
Total Pages: 256
Release: 2019-07-16
Genre: Mathematics
ISBN: 9781593279578

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Fun guide to learning Bayesian statistics and probability through unusual and illustrative examples. Probability and statistics are increasingly important in a huge range of professions. But many people use data in ways they don't even understand, meaning they aren't getting the most from it. Bayesian Statistics the Fun Way will change that. This book will give you a complete understanding of Bayesian statistics through simple explanations and un-boring examples. Find out the probability of UFOs landing in your garden, how likely Han Solo is to survive a flight through an asteroid shower, how to win an argument about conspiracy theories, and whether a burglary really was a burglary, to name a few examples. By using these off-the-beaten-track examples, the author actually makes learning statistics fun. And you'll learn real skills, like how to: - How to measure your own level of uncertainty in a conclusion or belief - Calculate Bayes theorem and understand what it's useful for - Find the posterior, likelihood, and prior to check the accuracy of your conclusions - Calculate distributions to see the range of your data - Compare hypotheses and draw reliable conclusions from them Next time you find yourself with a sheaf of survey results and no idea what to do with them, turn to Bayesian Statistics the Fun Way to get the most value from your data.

OpenIntro Statistics

OpenIntro Statistics
Author: David Diez,Mine Çetinkaya-Rundel,Christopher Barr
Publsiher: Unknown
Total Pages: 422
Release: 2019-05
Genre: Electronic Book
ISBN: 1943450137

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Probability and Statistics

Probability and Statistics
Author: Michael J. Evans,Jeffrey S. Rosenthal
Publsiher: WH Freeman
Total Pages: 200
Release: 2010-03-01
Genre: Mathematics
ISBN: 1429224630

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Unlike traditional introductory math/stat textbooks, Probability and Statistics: The Science of Uncertainty brings a modern flavor to the course, incorporating the computer and offering an integrated approach to inference that includes the frequency approach and the Bayesian inference. From the start the book integrates simulations into its theoretical coverage, and emphasizes the use of computer-powered computation throughout. Math and science majors with just one year of calculus can use this text and experience a refreshing blend of applications and theory that goes beyond merely mastering the technicalities. The new edition includes a number of features designed to make the material more accessible and level-appropriate to the students taking this course today.

Probability and Statistics for Elementary Middle School Teachers

Probability and Statistics for Elementary Middle School Teachers
Author: Christine A. Browning,Dwayne S. Channell
Publsiher: Unknown
Total Pages: 220
Release: 2009-06-08
Genre: Education
ISBN: 0757536425

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