Reflections on Statistics

Learning, Teaching, and Assessment in Grades K-12

Author: Susanne P. Lajoie

Publisher: Routledge

ISBN:

Category: Education

Page: 360

View: 329

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.

Reflections on Statistics

Learning, Teaching, and Assessment in Grades K-12

Author: Susanne Lajoie

Publisher: Routledge

ISBN:

Category: Mathematics

Page: 336

View: 568

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.

Research Report

Analysis, Quality and Display of Official Statistics

Author: Erling B. Andersen

Publisher:

ISBN:

Category:

Page:

View: 801

REFLECTIONS ON THE SUBJECT OF ECONOMIC STATISTICS

Author: DONG QIU

Publisher: American Academic Press

ISBN:

Category: Business & Economics

Page: 215

View: 191

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.

Structure Determination from Powder Diffraction Data

Author: William I. F. David

Publisher: Oxford University Press on Demand

ISBN:

Category: Science

Page: 337

View: 949

Our understanding of the properties of materials, from drugs and proteins to catalysts and ceramics, is almost always based on structural information. This book describes the new developments in the realm of powder diffraction which make it possible for scientists to obtain such information even from polycrystalline materials. Written and edited by experts active in the field, and covering both the fundamental and applied aspects of structure solution from powder diffraction data, this book guides both novices and experienced practitioners alike through the maze of possibilities.

A Candid Friend

Reflections on the Statistics Commission 2000-2008

Author: Great Britain. Statistics Commission

Publisher:

ISBN:

Category: Statistics

Page: 91

View: 296

Statistics: Reflections of the Past and Visions for the Future

... Papers of an International Conference Entitled "Statistics: Reflections on the Past and Visions for the Future" that was Held at the University of Texas at San Antonio, During March 16-19, 2000, in Honour of Professor C.R. Rao on the Occasion of His 80th Birthday

Author: Calyampudi Radhakrishna Rao

Publisher:

ISBN:

Category:

Page: 325

View: 453

A Statistical Model for Multipath Reflection Effects of Antennas Mounted on Aircraft

Author: Jeffrey L. Frack

Publisher:

ISBN:

Category:

Page: 101

View: 918

A statistical model of the effects of multipath reflections for antenna arrays mounted on aircraft is developed to predict antenna system performance as a function of communication signal arrival angle. Each array element is assumed to have an electric field pattern that is a Gaussian random process with known statistics. These assumptions are used to find the statistic for the array. From these statistics the performance of the antenna of the system can be found using three performance measures for the array: the probability that the array gain is above a threshold; probability level curves to show what threshold function the gain will be above a specified percentage of the time; and the probability that the array gain will be above some threshold on an entire interval. These performance measures are evaluated for a specific array configuration for a set of assumed statistics and then plotted versus arrival angle. The results for different array variance are compared and the result is that higher variance results in poorer average antenna performance. The same measures are than evaluated for an array whose statistics are determined from actual measured data. (Author).

Words for the Road V

100 short reflections and puns

Author: George Manus

Publisher: BoD – Books on Demand

ISBN:

Category: Philosophy

Page: 84

View: 337

This "Words for the Road V", the fifth in the series, I have dedicated to the"Continuation" and given the subtitle: 141 short reflections and puns. With these 141, the total have now reached 600. As I see it, there is always a continuation. It does not have to be a continuation of the same, and in this case it is a continuation of the first four books with the same name. When the last of the four was released, most of the content of the fifth was already put on paper. Related to the continuation I wrote a brief reflection in 1994, which is reproduced from page 18. It is about continuation, but in a completely different context. Most of the content in the book was first written in Norwegian and then translated into English, so I ask the reader to be overbearing about the English presentation, which often does not get quite the same rhythm and meaning as the Norwegian. As in the previous four "Words for the Road", the table of contents is presented in alphabetical order in both English and Norwegian. In the book the English comes first, with the corresponding Norwegian next to it.

Reflections on Educational Achievement

Author: Rainer H. Lehmann, Wilfried Bos, Thomas N.: Festschrift Postlethwaite

Publisher: Waxmann Verlag

ISBN:

Category:

Page:

View: 295

Mathematical Literacy on Statistical Measures

A Design Research Study

Author: Christian Büscher

Publisher: Springer Spektrum

ISBN:

Category: Education

Page: 220

View: 801

In most countries, only very limited time resources are available for statistics education within mathematics education. Thus, statistics education research needs to develop teaching-learning arrangements that are compact and applicable to classrooms. Christian Büscher designs and investigates a compact teaching-learning arrangement which aims at mathematical and reflective knowledge about statistics. Central results include the specification of the learning content of statistical measures, an empirical reconstruction of students’ learning processes towards statistical measures, and the identification of students’ situated reflections about mathematics within their learning processes.

The Statistical Toolbox

Reflections on My Dissertation Experience

Author: Najib A. Mozahem

Publisher:

ISBN:

Category: Quantitative research

Page:

View: 171

Starting work on your dissertation is a truly daunting task. While working on my own dissertation, two pieces of advice given to me by my advisor shaped how I approach the topic of research. This article summarizes my experience in dealing with these pieces of advice. The article describes why the first piece of advice was the best advice that my advisor gave me. The article also describes why the second piece of advice went contrary to the first, thus leading me to abandoning the piece of advice. I talk about the difficulties I faced while collecting data, and how, by expanding the number of tools in my statistical toolbox, I was able to work with what I had. Statistical analysis is not an easy subject, especially the methods that are used in quantitative analysis. The mathematics behind them is complicated, to say the least. Fortunately, social scientists do not need to know the math. They do need, however, to understand the underlying principles to mold these tools to their situation. Luckily, there are resources that help you do this, but you have to look for them carefully.

Reflections on Population

Author: Rafael M. Salas

Publisher: Elsevier

ISBN:

Category: Social Science

Page: 352

View: 845

Reflections on Population is written by a former Executive Director of the United Nations Fund for Population Activities, which is a sequel to International Population Assistance: The First Decade, released in 1979. This book mainly focuses on providing reflections on the work of the UN Fund. Specifically, it tackles population growth and structure, fertility, women’s status, family, and morbidity and mortality. Programs spearheaded by the Fund in promoting knowledge and implementation of population policies and programs are then presented and discussed. This text will be very invaluable to those interested in studying population.