developing students statistical reasoning

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Developing Students Statistical Reasoning

Author : Joan Garfield
ISBN : 9781402083839
Genre : Education
File Size : 58. 60 MB
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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

The Challenge Of Developing Statistical Literacy Reasoning And Thinking

Author : Dani Ben-Zvi
ISBN : 1402022786
Genre : Mathematics
File Size : 89. 41 MB
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Unique in that it collects, presents, and synthesizes cutting edge research on different aspects of statistical reasoning and applies this research to the teaching of statistics to students at all educational levels, this volume will prove of great value to mathematics and statistics education researchers, statistics educators, statisticians, cognitive psychologists, mathematics teachers, mathematics and statistics curriculum developers, and quantitative literacy experts in education and government.

A Guide To Teaching Statistics

Author : Michael R. Hulsizer
ISBN : 1444305247
Genre : Psychology
File Size : 81. 47 MB
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A Guide to Teaching Statistics: Innovations and BestPractices addresses the critical aspects of teaching statisticsto undergraduate students, acting as an invaluable tool for bothnovice and seasoned teachers of statistics. Guidance on textbook selection, syllabus construction, andcourse outline Classroom exercises, computer applications, and Internetresources designed to promote active learning Tips for incorporating real data into course content Recommendations on integrating ethics and diversity topics intostatistics education Strategies to assess student's statistical literacy, thinking,and reasoning skills Additional material online at ahref=""

Die Politik Der Gro En Zahlen

Author : Alain Desrosières
ISBN : 9783540270119
Genre : Mathematics
File Size : 90. 94 MB
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Statistik ("Staatenkunde"), Wahrscheinlichkeitsrechnung und die Philosophie der Wahrscheinlichkeit sind auch als "siamesische Drillinge" bekannt. Das Buch analysiert den Werdegang der Statistik und zeigt Verbindungen zwischen der internalistischen Geschichte der Formalismen und Werkzeuge sowie der externalistisch orientierten Geschichte der Institutionen auf. Der Spannungsbogen erstreckt sich vom Vorabend der Französischen Revolution bis hin zum Ende des Zweiten Weltkriegs, wobei Frankreich, Deutschland, England und die USA ausführlich behandelt werden. Was haben Richter und Astronomen gemeinsam? Wer waren die "politischen Arithmetiker"? Was ist ein "Durchschnittsmensch"? Wie ändert sich im Laufe der Zeit das, was man "Realismus" nennt? Kann man vom Teil auf das Ganze schließen? Und wenn ja, warum? Welche Rolle spielt der Franziskanerorden? Wir begegnen Adolphe Quetelet, Karl Pearson, Egon Pearson, Francis Galton, Emile Durkheim und vielen anderen. Glücksspiele, Zufall, Bayesscher Ansatz, das St. Petersburger Paradoxon, der Choleravibrio, Erblichkeit, das Galtonsche Brett, Taxonomie, Wahlprognosen, Arbeitslosigkeit und Ungleichheit, die Entstehung der Arten, die Ordnung der Dinge und die Dinge des Lebens – das sind die Themen des Buches.

Statistical Reasoning For Everyday Life

Author : Jeffrey O. Bennett
ISBN : 0201771284
Genre : Mathematics
File Size : 48. 19 MB
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Aims to help students develop an understanding of statistics and develop their statistical reasoning skills. This text presents an overall picture, then provides an explanation of the topics in context. Students develop an understanding of statistics that is reinforced in the exercises, web projects, and Focus On features.

Mit Werkzeugen Mathematik Und Stochastik Lernen Using Tools For Learning Mathematics And Statistics

Author : Thomas Wassong
ISBN : 9783658031046
Genre : Mathematics
File Size : 65. 43 MB
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Dieser Band mit Beiträgen aus der nationalen und internationalen Forschung zum 60. Geburtstag von Prof. Dr. Rolf Biehler (Universität Paderborn) präsentiert wissenschaftliche Arbeiten zum Werkzeugeinsatz beim Lehren und Lernen von Mathematik im Allgemeinen sowie von Statistik und Stochastik im Besonderen. Wie ein roter Faden durchzieht den Festband, wie auch schon das wissenschaftliche Oeuvre von Rolf Biehler, ein breites Verständnis des Begriffs „Werkzeug“ (engl. „tools“). Die Themen decken das komplette Spektrum der Mathematikdidaktik auf allen Schulstufen sowie auf dem tertiären Sektor ab. Es gibt Beiträge zum Einsatz von Tools in der Grundschule, ebenso wie aus den Sekundarstufen, der Hochschule und der Lehreraus- und -weiterbildung. Im Band werden sowohl Beispiele zum konkreten Einsatz von Werkzeugen im Unterricht aufgezeigt, als auch Studien zur Wirksamkeit von Werkzeugen im Kontext von Mathematiklernen, theoretische Artikel zum Einsatz von Werkzeugen und Neuentwicklungen von Werkzeug-Software vorgelegt.

Fundamentals Of Statistical Reasoning In Education

Author : Theodore Coladarci
ISBN : 9781118425213
Genre : Education
File Size : 83. 47 MB
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Fundamentals of Statistical Reasoning in Education, 4th Edition is a text specifically geared towards the education community. This text gives educators the statistical knowledge and skills necessary in everyday classroom teaching, in running schools, and in professional development pursuits. It emphasises conceptual development with an engaging style and clear exposition.

Mathematical Modelling

Author : Ngan Hoe Lee
ISBN : 9789814546935
Genre : Mathematics
File Size : 31. 36 MB
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This book documents the journey undertaken by educators from the Mathematics and Mathematics Education (MME) Academic Group in the National Institute of Education (NIE) and Singapore schools during a Mathematical Modelling Outreach (MMO) event in June 2010 under the guidance of renowned experts in the field of mathematical modelling. The main goal of MMO was to reach out to Singapore primary and secondary schools and introduce the potentials of mathematical modelling as a platform for eliciting mathematical thinking, communication, and reasoning among students. This book contributes to the expanding literature on mathematical modelling by offering voices from the Singaporean context. It suggests how theoretical perspectives on mathematical modelling can be transformed into actual practice in schools, all within the existing infrastructure of the current Singapore mathematics curriculum. More importantly, the book provides documentary evidence on how plans put in place through MMO in 2010 have since been realised. The publication of this book is hence timely at this juncture. Not only does the book record how MMO was among the first pebbles launched into the pond, it also serves as a bridge over which educators can stand upon to view how the ripple effect had developed from the initial MMO pebble and the directions it may continue to extend. Perhaps in the process, other ripples in the teaching, learning, and research of mathematical modelling can be created. Contents:Introduction: Mathematical Modelling Outreach in Singapore (NG Kit Ee Dawn and LEE Ngan Hoe)Setting the Stage for Mathematical Modelling in Schools:Promotion of Mathematical Modelling Competencies in the Context of Modelling Projects (Gabriele KAISER and Susanne GRÜNEWALD)Problem Finding and Problem Posing for Mathematical Modelling (Gloria STILLMAN)Mathematical Modelling in Singapore Schools: A Framework for Instruction (ANG Keng Cheng)Mathematical Modelling in Australia (Vincent GEIGER)Mathematical Modelling in Japan (Toshikazu IKEDA)Fostering Mathematical Modelling in Schools:Learning through Modelling in the Primary Years (Lyn D ENGLISH)Fostering Mathematical Modelling in Secondary Schools (Gloria STILLMAN)Mathematical Modelling — An Example from an Inter-School Modelling Challenge (Raymond BROWN, Trevor REDMOND, Joanne SHEEHY and Dawn LANG)Mathematical Learning through Modelling Tasks:Learning through "Designing a Café" (YEO Kai Kow Joseph)Learning through "Plane Punctuality" (HO Weng Kin)Learning through "Mobile Phone Plan" (CHENG Lu Pien and CHUA Kwee Gek)Learning through "The Best Paper Plane" (SOON Wan Mei Amanda, CHIOK Hwee Fen and KONG May Hua Maybelline)Learning through "Designing a Tent" (HO Siew Yin)Learning through "Dream Home" (CHAN Chun Ming Eric)Learning through "The Unsinkable Titanic" (JAGUTHSING Dindyal and FOO Him Ho) Readership: Graduate students and researchers in mathematics education; mathematics educators. Keywords:Mathematical Modelling;Mathematical Modelling in Singapore;Modelling Competencies;Model-Eliciting Tasks;Modelling Research;Modelling Projects;Theoretical Perspectives on Mathematical Modelling;Modelling framework;Teacher Education in Mathematical ModellingKey Features:This book discusses the use of mathematical modelling activities for teaching and learning in Singapore classrooms, drawing upon experiences from other countriesIt provides focused discussions on the practicalities of conducting modelling activities in the classroom based on actual implementation in the Singapore context, drawing on the Singapore Mathematics Curriculum and other curriculaIt also proposes the way forward in addressing the issue of mathematical modelling for teacher education and curricula planning in the Singapore context

The Teaching And Learning Of Statistics

Author : Dani Ben-Zvi
ISBN : 9783319234700
Genre : Education
File Size : 43. 42 MB
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This book presents the breadth and diversity of empirical and practical work done on statistics education around the world. A wide range of methods are used to respond to the research questions that form it's base. Case studies of single students or teachers aimed at understanding reasoning processes, large-scale experimental studies attempting to generalize trends in the teaching and learning of statistics are both employed. Various epistemological stances are described and utilized. The teaching and learning of statistics is presented in multiple contexts in the book. These include designed settings for young children, students in formal schooling, tertiary level students, vocational schools, and teacher professional development. A diversity is evident also in the choices of what to teach (curriculum), when to teach (learning trajectory), how to teach (pedagogy), how to demonstrate evidence of learning (assessment) and what challenges teachers and students face when they solve statistical problems (reasoning and thinking).

Essential Statistics Regression And Econometrics

Author : Gary Smith
ISBN : 9780128034927
Genre : Mathematics
File Size : 51. 43 MB
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Essential Statistics, Regression, and Econometrics, Second Edition, is innovative in its focus on preparing students for regression/econometrics, and in its extended emphasis on statistical reasoning, real data, pitfalls in data analysis, and modeling issues. This book is uncommonly approachable and easy to use, with extensive word problems that emphasize intuition and understanding. Too many students mistakenly believe that statistics courses are too abstract, mathematical, and tedious to be useful or interesting. To demonstrate the power, elegance, and even beauty of statistical reasoning, this book provides hundreds of new and updated interesting and relevant examples, and discusses not only the uses but also the abuses of statistics. The examples are drawn from many areas to show that statistical reasoning is not an irrelevant abstraction, but an important part of everyday life. Includes hundreds of updated and new, real-world examples to engage students in the meaning and impact of statistics Focuses on essential information to enable students to develop their own statistical reasoning Ideal for one-quarter or one-semester courses taught in economics, business, finance, politics, sociology, and psychology departments, as well as in law and medical schools Accompanied by an ancillary website with an instructors solutions manual, student solutions manual and supplementing chapters

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