The Learning And Teaching Of Statistics And Probability

Author : Luis Saldanha
Publisher : Taylor & Francis
ISBN 13 : 1003805566
Total Pages : 165 pages
Book Rating : 4.64/5 ( download)

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Download or read book The Learning and Teaching of Statistics and Probability written by Luis Saldanha and published by Taylor & Francis. This book was released on 2023-12-01 with total page 165 pages. Available in PDF, EPUB and Kindle. Book excerpt: Filled with practical learning activities to adopt within your classroom, The Learning and Teaching of Statistics and Probability places reasoning about quantities and quantification at the core of learning and teaching statistics. A companion website to this book is also available at https://neilhatfield.github.io/IMPACT_Statistics/, allowing readers to access a directory of resources – data collections and web-based applets – used in some of the instructional activities featured within this book. Through its presentation of conceptual analyses and resources for teaching with statistical data, the book’s five chapters establish key concepts and foundational ideas in statistics and probability, emphasizing the development of learner understanding and coherence, for example: Individual cases and their attributes Data collections, sub-collections, and relevant operations to quantify their attributes Samples, population, and quantifying variation Types of processes, meanings of randomness, and probability as a measure of stochastic tendency Sampling distributions and statistical inference. This highly informative yet practical book is an indispensable resource for teachers of secondary school mathematics, mathematics subject leads, and mathematics and statistics educators within the wider field of education.

Author : Luis Saldanha
Publisher :
ISBN 13 : 9781003129653
Total Pages : 0 pages
Book Rating : 4.5X/5 ( download)

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Download or read book The Learning and Teaching of Statistics and Probability written by Luis Saldanha and published by . This book was released on 2023-12 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Filled with practical learning activities to adopt within your classroom, The Learning and Teaching of Statistics and Probability places reasoning about quantities and quantification at the core of learning and teaching statistics. A companion web site to this book is also available at https: //neilhatfield.github.io/IMPACT_Statistics/, allowing readers to access directory of resources--data collections and web-based applets--used in some of the instructional activities featured within this book. Through its presentation of conceptual analyses and resources for teaching with statistical data, the book's five chapters establish key concepts and foundational ideas in statistics and probability, emphasising the development of learner understanding and coherence, for example: Individual cases and their attributes Data collections, sub-collections, and relevant operations to quantify their attributes Samples, population, and quantifying variation Types of processes, meanings of randomness and probability as a measure of stochastic tendency Sampling distributions and statistical inference This highly informative yet practical book is an indispensable resource for teachers of secondary school mathematics, mathematics subject leads, and mathematics and statistics educators within the wider field of education.

Author : Carmen Batanero
Publisher : Springer
ISBN 13 : 3319316257
Total Pages : 40 pages
Book Rating : 4.53/5 ( download)

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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.

Author : Nancy Pfenning
Publisher : PRUFROCK PRESS INC.
ISBN 13 : 1882664353
Total Pages : 186 pages
Book Rating : 4.51/5 ( download)

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Download or read book Chances Are-- written by Nancy Pfenning and published by PRUFROCK PRESS INC.. This book was released on 1998 with total page 186 pages. Available in PDF, EPUB and Kindle. Book excerpt: Do you avoid teaching probability and statistics because the subjects seem confusing and complex? Are you less than sure about your knowledge of the topics? Let Chances Are . . . take you and your students on a fun and exciting mathematical journey none of you will ever forget! Filled with easy-to-understand explanations and creative activities, this book offers teachers a simple method for teaching probability and statistics in an enjoyable way. This book can serve as an introduction for any beginner, from gifted and advanced students in upper elementary school, to high school students needing enrichment or preparation for Advanced Placement Statistics or future college courses. From helping to win a card game, to making life-or-death medical decisions, the uses of probability and statistics are virtually endless. For teachers of elementary students, the book offers simple, hands-on lessons and activities about probability and basic statistics. For teachers of older students, advanced statistical concepts are discussed and activities are provided. Reviewers have found the book's level to be appropriate for a wide range of ages, from fourth graders to post-secondary students.

Author : Anne Hawkins
Publisher : Routledge
ISBN 13 : 1317898095
Total Pages : 257 pages
Book Rating : 4.92/5 ( download)

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Download or read book Teaching Statistical Concepts written by Anne Hawkins and published by Routledge. This book was released on 2014-09-19 with total page 257 pages. Available in PDF, EPUB and Kindle. Book excerpt: There is growing recognition that statistics should be part of the core curriculum for the compulsory schooling of all children, leading to a now urgent need for teachers to be trained in both statistical content and appropriate teaching methods. This book lays the foundation for teacher's responses to these changes, exploring how best to teach those applied skills which are now seen to be a more relevant part of the content of statistical courses.

Author : Graham A. Jones
Publisher : Springer Science & Business Media
ISBN 13 : 9780387245294
Total Pages : 416 pages
Book Rating : 4.94/5 ( download)

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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 2005-03-21 with total page 416 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.

Author : Carmen Batanero
Publisher : Springer Science & Business Media
ISBN 13 : 940071131X
Total Pages : 424 pages
Book Rating : 4.10/5 ( download)

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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 424 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.

Author : Carmen Batanero
Publisher : Springer
ISBN 13 : 9463006249
Total Pages : 224 pages
Book Rating : 4.48/5 ( download)

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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.

Author : Jim Albert
Publisher : American Mathematical Society
ISBN 13 : 1470469383
Total Pages : 257 pages
Book Rating : 4.82/5 ( download)

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Download or read book Teaching Statistics Using Baseball written by Jim Albert and published by American Mathematical Society. This book was released on 2022-02-04 with total page 257 pages. Available in PDF, EPUB and Kindle. Book excerpt: Teaching Statistics Using Baseball is a collection of case studies and exercises applying statistical and probabilistic thinking to the game of baseball. Baseball is the most statistical of all sports since players are identified and evaluated by their corresponding hitting and pitching statistics. There is an active effort by people in the baseball community to learn more about baseball performance and strategy by the use of statistics. This book illustrates basic methods of data analysis and probability models by means of baseball statistics collected on players and teams. Students often have difficulty learning statistics ideas since they are explained using examples that are foreign to the students. The idea of the book is to describe statistical thinking in a context (that is, baseball) that will be familiar and interesting to students. The book is organized using a same structure as most introductory statistics texts. There are chapters on the analysis on a single batch of data, followed with chapters on comparing batches of data and relationships. There are chapters on probability models and on statistical inference. The book can be used as the framework for a one-semester introductory statistics class focused on baseball or sports. This type of class has been taught at Bowling Green State University. It may be very suitable for a statistics class for students with sports-related majors, such as sports management or sports medicine. Alternately, the book can be used as a resource for instructors who wish to infuse their present course in probability or statistics with applications from baseball. The second edition of Teaching Statistics follows the same structure as the first edition, where the case studies and exercises have been replaced by modern players and teams, and the new types of baseball data from the PitchFX system and fangraphs.com are incorporated into the text.

Author : Iddo Gal
Publisher :
ISBN 13 : 9784274901584
Total Pages : 300 pages
Book Rating : 4.80/5 ( download)

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Download or read book The Assessment Challenge in Statistics Education written by Iddo Gal and published by . This book was released on 1997 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book discusses conceptual and pragmatic issues in the assessment of statistical knowledge and reasoning skills among students at the college and precollege levels, and the use of assessments to improve instruction. It is designed primarily for academic audiences involved in teaching statistics and mathematics, and in teacher education and training. The book is divided in four sections: (I) Assessment goals and frameworks, (2) Assessing conceptual understanding of statistical ideas, (3) Innovative models for classroom assessments, and (4) Assessing understanding of probability.