Reflections on Statistics

Reflections on Statistics

Author: Susanne P. Lajoie

Publisher: Routledge

Published: 2012-10-12

Total Pages: 257

ISBN-13: 1136490868

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An issue in the current push for reform in mathematics education is the call to address statistics at the precollege level. This volume represents the emerging findings of an interdisciplinary collaboration among a group of mathematics educators, cognitive scientists, teachers, and statisticians to construct an understanding of how to introduce statistics education and assessment for students in elementary and secondary schools. A premise shared by the contributors to this volume is that when students are introduced to statistics at the K-12 level and provided with opportunities to do statistics that are related to actual life situations, they will be better prepared for decision making in the real world. The interdisciplinary nature of the group of researchers stimulated a lively interchange of ideas for enhancing the learning, teaching, and assessment of statistical understanding, which is reflected in this volume. Mathematics educators contribute their insights into how teachers teach mathematical ideas and heighten our awareness of the ecological needs of the current mathematics classroom. Cognitive scientists share their understanding of developmental differences in learning and present theoretical perspectives that contribute to the design of effective learning environments. Classroom teachers share their ideas about classroom activities and assessment of student learning, as well as their concerns for in-service training and workshops to help teachers acquire skills in this new content area. Statisticians offer their understanding of what is feasible to teach in the early grades, and what their view is of statistical literacy. The book is organized around four interdependent themes: content, teaching, learning, and assessment. By focusing their respective chapters on particular themes, the authors intend to cultivate a better understanding of how each relates to improvements in statistics education. This is the first book to: * address statistics learning in grades K-12, * address issues of statistical curriculum content in grades K-12, * address issues of assessment of statistics learning in grades K-12, * bring issues of technology instruction and assessment in statistics education in grades K-12, and * look at teacher education for statistics instruction in grades K-12. This is a must-read book for both practitioners and researchers involved in K-12 mathematics education.


Critical Reflections on Data in Second Language Acquisition

Critical Reflections on Data in Second Language Acquisition

Author: Aarnes Gudmestad

Publisher: John Benjamins Publishing Company

Published: 2018-09-15

Total Pages: 243

ISBN-13: 9027263558

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This edited volume offers critical reflections on an essential component of research method in the field of second language acquisition – data. Scholars working on diverse areas (e.g., pragmatics, corrective feedback, phonology) and approaches (e.g., corpus linguistics, concept-oriented analyses, variationism) have come together to identify challenges researchers face when collecting, coding, and analyzing data and to provide guidance for making advancements regarding these aspects of research method. This volume also showcases three types of critical reflection. One involves building a relevant corpus of published investigations and using that database to identify methodological issues in existing research. Another consists of recoding and reanalyzing published work, before reflecting on the impact that these decisions have on observations made about interlanguage. The third begins with a particular area of or approach to second language acquisition and then offers a critical examination on the challenges that characterize the selected area or approach. Researchers and graduate students alike will benefit from an open discussion on methodological issues that are in need of improvement.


No BS (Bad Stats)

No BS (Bad Stats)

Author: Ivory A. Toldson

Publisher: BRILL

Published: 2019-04-09

Total Pages: 181

ISBN-13: 9004397043

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A Brill | Sense Bestseller! What if everything you thought you knew about Black people generally, and educating Black children specifically, was based on BS (bad stats)? We often hear things like, “Black boys are a dying breed,” “There are more Black men in prison than college,” “Black children fail because single mothers raise them,” and “Black students don’t read.” In No BS, Ivory A. Toldson uses data analysis, anecdotes, and powerful commentary to dispel common myths and challenge conventional beliefs about educating Black children. With provocative, engaging, and at times humorous prose, Toldson teaches educators, parents, advocates, and students how to avoid BS, raise expectations, and create an educational agenda for Black children that is based on good data, thoughtful analysis, and compassion. No BS helps people understand why Black people need people who believe in Black people enough not to believe every bad thing they hear about Black people.


REFLECTIONS ON THE SUBJECT OF ECONOMIC STATISTICS

REFLECTIONS ON THE SUBJECT OF ECONOMIC STATISTICS

Author: DONG QIU

Publisher: American Academic Press

Published: 2018-10-26

Total Pages: 217

ISBN-13: 1631819399

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This anthology is Professor Dong Qiu's reflections on economic statistics and related research. It includes economic statistics and economic reality, the connotation and extension of modern economic statistics, the reconstruction of economic statistics after the Cultural Revolution, and economic statistics at home and abroad. The main viewpoints in the book: adhering to the broad view of scientific culture and opposing the concept of "only mathematics"; adhering to the international vision and not blindly following the so-called mainstream of science; more attention paying to methodology than to the application of methods; adhering to the spirit of academic criticism; Doubts being raised in places where people do not doubt.


Mathematical Reflections

Mathematical Reflections

Author: Peter Hilton

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 367

ISBN-13: 1461219329

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A relaxed and informal presentation conveying the joy of mathematical discovery and insight. Frequent questions lead readers to see mathematics as an accessible world of thought, where understanding can turn opaque formulae into beautiful and meaningful ideas. The text presents eight topics that illustrate the unity of mathematical thought as well as the diversity of mathematical ideas. Drawn from both "pure" and "applied" mathematics, they include: spirals in nature and in mathematics; the modern topic of fractals and the ancient topic of Fibonacci numbers; Pascals Triangle and paper folding; modular arithmetic and the arithmetic of the infinite. The final chapter presents some ideas about how mathematics should be done, and hence, how it should be taught. Presenting many recent discoveries that lead to interesting open questions, the book can serve as the main text in courses dealing with contemporary mathematical topics or as enrichment for other courses. It can also be read with pleasure by anyone interested in the intellectually intriguing aspects of mathematics.


Reflections on the Foundations of Probability and Statistics

Reflections on the Foundations of Probability and Statistics

Author: Thomas Augustin

Publisher: Springer Nature

Published: 2023-01-14

Total Pages: 350

ISBN-13: 3031154363

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This Festschrift celebrates Teddy Seidenfeld and his seminal contributions to philosophy, statistics, probability, game theory and related areas. The 13 contributions in this volume, written by leading researchers in these fields, are supplemented by an interview with Teddy Seidenfeld that offers an abbreviated intellectual autobiography, touching on topics of timeless interest concerning truth and uncertainty. Indeed, as the eminent philosopher Isaac Levi writes in this volume: "In a world dominated by Alternative Facts and Fake News, it is hard to believe that many of us have spent our life’s work, as has Teddy Seidenfeld, in discussing truth and uncertainty." The reader is invited to share this celebration of Teddy Seidenfeld’s work uncovering truths about uncertainty and the penetrating insights they offer to our common pursuit of truth in the face of uncertainty.


Statistical Inference as Severe Testing

Statistical Inference as Severe Testing

Author: Deborah G. Mayo

Publisher: Cambridge University Press

Published: 2018-09-20

Total Pages: 503

ISBN-13: 1108563309

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Mounting failures of replication in social and biological sciences give a new urgency to critically appraising proposed reforms. This book pulls back the cover on disagreements between experts charged with restoring integrity to science. It denies two pervasive views of the role of probability in inference: to assign degrees of belief, and to control error rates in a long run. If statistical consumers are unaware of assumptions behind rival evidence reforms, they can't scrutinize the consequences that affect them (in personalized medicine, psychology, etc.). The book sets sail with a simple tool: if little has been done to rule out flaws in inferring a claim, then it has not passed a severe test. Many methods advocated by data experts do not stand up to severe scrutiny and are in tension with successful strategies for blocking or accounting for cherry picking and selective reporting. Through a series of excursions and exhibits, the philosophy and history of inductive inference come alive. Philosophical tools are put to work to solve problems about science and pseudoscience, induction and falsification.


Developing Students’ Statistical Reasoning

Developing Students’ Statistical Reasoning

Author: Joan Garfield

Publisher: Springer Science & Business Media

Published: 2008-09-08

Total Pages: 407

ISBN-13: 1402083831

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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 the literature should be tremendously helpful for those involved in teaching and researching introductory courses. Randall E. Groth, Assistant Professor of Mathematics Education, Salisbury University, USA


Contribution to Applied Statistics

Contribution to Applied Statistics

Author: Ziegler

Publisher: Birkhäuser

Published: 2013-11-21

Total Pages: 246

ISBN-13: 3034855133

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In spite of all emphasis on objectivity, a scientific discipline needs for its development outstanding research workers with exceptional personal qualities. A scientist with these qualities is honoured here, on the occasion of his 70th birthday, by his pupils, friends and colleagues: Arthur Linder is respected as a researcher, advisor and teacher in the field of Applied Statistics. Professor Dr. Dr. h. c. A. Linder has demonstrated the utility of statistical methods in science and technology; these are recognised today as being essen tial for an objective evaluation of data. His contacts with Sir R.A. Fisher, C. 1. Bliss, G.M. Cox, W.G. Cochran, P.C. Mahalanobis and many other ex perts, have helped him to achieve his almost legendary authority on sampling and on the evaluation of statistical data. Linder has won many friends and adherents to the cause of Biometry, Econometry and Technometry, firstly through his teaching activity at the universities of Berne, Geneva and Lausanne and the Swiss Federal Institute of Technology in Zurich, and as visiting lecturer at the Indian Statistical Institute, the International Statistical Education Centre in Calcutta, the Uni versity of North Carolina and the University of Natal in Durban, secondly through his contributions to the literature as author of the monographs 'Sta tistische Methoden' and 'Planen und Auswerten von Versuchen', as editor of METRIKA and co-editor of other journals, and thirdly through his active collaboration in the founding of The Biometric Society, to the presidency of.


International Handbook of Research in Statistics Education

International Handbook of Research in Statistics Education

Author: Dani Ben-Zvi

Publisher: Springer

Published: 2017-12-08

Total Pages: 523

ISBN-13: 3319661957

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This handbook connects the practice of statistics to the teaching and learning of the subject with contributions from experts in several disciplines. Chapters present current challenges and methods of statistics education in the changing world for statistics and mathematics educators. Issues addressed include current and future challenges in professional development of teachers, use of technology tools, design of learning environments and appropriate student assessments. This handbook presents challenging and inspiring international research perspectives on the history and nature, current issues, and future directions of statistics education and statistics education research.