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Thinking And Reasoning With Data And Chance


Thinking And Reasoning With Data And Chance
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Thinking And Reasoning With Data And Chance


Thinking And Reasoning With Data And Chance
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Author : Gail Burrill
language : en
Publisher: National Council of Teachers of English
Release Date : 2006

Thinking And Reasoning With Data And Chance written by Gail Burrill and has been published by National Council of Teachers of English this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006 with Education categories.


Accompanying CD-ROM contains ... "support material for many of the articles, including lessons, software demonstrations, and even video clips of classrooms."--P. [4] of cover.



Thinking And Reasoning With Data And Chance


Thinking And Reasoning With Data And Chance
DOWNLOAD
Author : Gail Burrill
language : en
Publisher: National Council of Teachers of English
Release Date : 2006

Thinking And Reasoning With Data And Chance written by Gail Burrill and has been published by National Council of Teachers of English this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006 with Education categories.


Accompanying CD-ROM contains ... "support material for many of the articles, including lessons, software demonstrations, and even video clips of classrooms."--P. [4] of cover.



Thinking Clearly With Data


Thinking Clearly With Data
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Author : Ethan Bueno de Mesquita
language : en
Publisher: Princeton University Press
Release Date : 2021-11-16

Thinking Clearly With Data written by Ethan Bueno de Mesquita and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-11-16 with Social Science categories.


An engaging introduction to data science that emphasizes critical thinking over statistical techniques An introduction to data science or statistics shouldn’t involve proving complex theorems or memorizing obscure terms and formulas, but that is exactly what most introductory quantitative textbooks emphasize. In contrast, Thinking Clearly with Data focuses, first and foremost, on critical thinking and conceptual understanding in order to teach students how to be better consumers and analysts of the kinds of quantitative information and arguments that they will encounter throughout their lives. Among much else, the book teaches how to assess whether an observed relationship in data reflects a genuine relationship in the world and, if so, whether it is causal; how to make the most informative comparisons for answering questions; what questions to ask others who are making arguments using quantitative evidence; which statistics are particularly informative or misleading; how quantitative evidence should and shouldn’t influence decision-making; and how to make better decisions by using moral values as well as data. Filled with real-world examples, the book shows how its thinking tools apply to problems in a wide variety of subjects, including elections, civil conflict, crime, terrorism, financial crises, health care, sports, music, and space travel. Above all else, Thinking Clearly with Data demonstrates why, despite the many benefits of our data-driven age, data can never be a substitute for thinking. An ideal textbook for introductory quantitative methods courses in data science, statistics, political science, economics, psychology, sociology, public policy, and other fields Introduces the basic toolkit of data analysis—including sampling, hypothesis testing, Bayesian inference, regression, experiments, instrumental variables, differences in differences, and regression discontinuity Uses real-world examples and data from a wide variety of subjects Includes practice questions and data exercises



Developing Students Statistical Reasoning


Developing Students Statistical Reasoning
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Author : Joan Garfield
language : en
Publisher: Springer Science & Business Media
Release Date : 2008-09-08

Developing Students Statistical Reasoning written by Joan Garfield 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 2008-09-08 with Education categories.


Increased attention is being paid to the need for statistically educated citizens: statistics is now included in the K-12 mathematics curriculum, increasing numbers of students are taking courses in high school, and introductory statistics courses are required in college. However, increasing the amount of instruction is not sufficient to prepare statistically literate citizens. A major change is needed in how statistics is taught. To bring about this change, three dimensions of teacher knowledge need to be addressed: their knowledge of statistical content, their pedagogical knowledge, and their statistical-pedagogical knowledge, i.e., their specific knowledge about how to teach statistics. This book is written for mathematics and statistics educators and researchers. It summarizes the research and highlights the important concepts for teachers to emphasize, and shows the interrelationships among concepts. It makes specific suggestions regarding how to build classroom activities, integrate technological tools, and assess students’ learning. This is a unique book. While providing a wealth of examples through lessons and data sets, it is also the best attempt by members of our profession to integrate suggestions from research findings with statistics concepts and pedagogy. The book’s message about the importance of listening to research is loud and clear, as is its message about alternative ways of teaching statistics. This book will impact instructors, giving them pause to consider: "Is what I’m doing now really the best thing for my students? What could I do better?" J. Michael Shaughnessy, Professor, Dept of Mathematical Sciences, Portland State University, USA This is a much-needed text for linking research and practice in teaching statistics. The authors have provided a comprehensive overview of the current state-of-the-art in statistics education research. The insights they have gleaned from theliterature should be tremendously helpful for those involved in teaching and researching introductory courses. Randall E. Groth, Assistant Professor of Mathematics Education, Salisbury University, USA



Selected Regular Lectures From The 12th International Congress On Mathematical Education


Selected Regular Lectures From The 12th International Congress On Mathematical Education
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Author : Sung Je Cho
language : en
Publisher: Springer
Release Date : 2015-07-16

Selected Regular Lectures From 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 2015-07-16 with Education categories.


This book comprises the full selected Regular Lectures from 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 4700 experts from 100 countries, working to understand all of the intellectual and attitudinal challenges in the subject of mathematics education as a multidisciplinary research and practice. These selected Regular Lectures present the work of fifty-one prominent mathematics educators from all over the globe. The Lectures cover a wide spectrum of topics, themes and issues and aim to give direction to future research towards educational improvement in the teaching and learning of mathematics education. This book is of particular interest to researchers, teachers and curriculum developers in mathematics education.



Topics And Trends In Current Statistics Education Research


Topics And Trends In Current Statistics Education Research
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Author : Gail Burrill
language : en
Publisher: Springer
Release Date : 2018-12-29

Topics And Trends In Current Statistics Education Research written by Gail Burrill and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-12-29 with Education categories.


This book focuses on international research in statistics education, providing a solid understanding of the challenges in learning statistics. It presents the teaching and learning of statistics in various contexts, including designed settings for young children, students in formal schooling, tertiary level students, and teacher professional development. The book describes research on what to teach and platforms for delivering content (curriculum), strategies on how to teach for deep understanding, and includes several chapters on developing conceptual understanding (pedagogy and technology), teacher knowledge and beliefs, and the challenges teachers and students face when they solve statistical problems (reasoning and thinking). This new research in the field offers critical insights for college instructors, classroom teachers, curriculum designers, researchers in mathematics and statistics education as well as policy makers and newcomers to the field of statistics education. Statistics has become one of the key areas of study in the modern world of information and big data. The dramatic increase in demand for learning statistics in all disciplines is accompanied by tremendous growth in research in statistics education. Increasingly, countries are teaching more quantitative reasoning and statistics at lower and lower grade levels within mathematics, science and across many content areas. Research has revealed the many challenges in helping learners develop statistical literacy, reasoning, and thinking, and new curricula and technology tools show promise in facilitating the achievement of these desired outcomes.



Teaching Statistics In School Mathematics Challenges For Teaching And Teacher Education


Teaching Statistics In School Mathematics Challenges For Teaching And Teacher Education
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Author : Carmen Batanero
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-07-31

Teaching Statistics In School Mathematics Challenges For Teaching And Teacher Education written by Carmen Batanero 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 2011-07-31 with Education categories.


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.



Research On Teaching And Learning Probability


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.



Enhancing Mathematics Understanding Through Visualization The Role Of Dynamical Software


Enhancing Mathematics Understanding Through Visualization The Role Of Dynamical Software
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Author : Habre, Samer
language : en
Publisher: IGI Global
Release Date : 2013-05-31

Enhancing Mathematics Understanding Through Visualization The Role Of Dynamical Software written by Habre, Samer and has been published by IGI Global this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-05-31 with Education categories.


Mathematics is, by its very nature, an abstract discipline. However, many students learn best by thinking in terms of tangible constructs. Enhancing Mathematics Understanding through Visualization: The Role of Dynamical Software brings these conflicting viewpoints together by offering visual representations as a method of mathematics instruction. The book explores the role of technology in providing access to multiple representations of concepts, using software applications to create a rich environment in which a student’s understanding of mathematical concepts can flourish. Both students and instructors of mathematics at the university level will use this book to implement various novel techniques for the delivery of mathematical concepts in their classrooms. This book is part of the Research Essential collection.



Common Core Mathematics Standards And Implementing Digital Technologies


Common Core Mathematics Standards And Implementing Digital Technologies
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Author : Polly, Drew
language : en
Publisher: IGI Global
Release Date : 2013-05-31

Common Core Mathematics Standards And Implementing Digital Technologies written by Polly, Drew and has been published by IGI Global this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-05-31 with Education categories.


Standards in the American education system are traditionally handled on a state-by-state basis, which can differ significantly from one region of the country to the next. Recently, initiatives proposed at the federal level have attempted to bridge this gap. Common Core Mathematics Standards and Implementing Digital Technologies provides a critical discussion of educational standards in mathematics and how communication technologies can support the implementation of common practices across state lines. Leaders in the fields of mathematics education and educational technology will find an examination of the Common Core State Standards in Mathematics through concrete examples, current research, and best practices for teaching all students regardless of grade level or regional location. This book is part of the Advances in Educational Technologies and Instructional Design series collection.