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Note: This webpage is mainly devoted to resources for use by teachers. Go to http://www.stat.auckland.ac.nz/~iase/islp/secclass for resources mainly devoted to use in the classroom.
THIS PAGE IS DIVIDED INTO TWO PARTS. THE FIRST PART DESCRIBES RESOURCES AVAILABLE ON THE INTERNET FOR FREE. THE SECOND PART DESCRIBE OTHER RESOURCES (BOTH FREE AND THOSE WITH A COST).
The Advanced Placement (AP) Statistics program is a system by which secondary school students take a university level course in introductory statistics and their own schools. Near the end of the academic year they then take a test. Depending on the score they receive on the test, universities may then grant the students credit for university level introductory statistics. There are Advanced Placement exams in other disciplines, too. The main website for teachers for the Advanced Placement Program is called AP Central . The AP Statistics Home Page contains course information, exam information, teaching resource materials, teachers’ resource reviews, feature articles, registration information for an electronic discussion group, and other valuable links, exam questions from past years, as well as scoring guidelines, commentary on student performance, scoring statistics, sample responses, and grade distributions.
The AP Listserver is an excellent resource for all teachers of introductory statistics. For a complete archive of the messages posted to the apstat listserver go to http://mathforum.org/kb/forum.jspa?forumID=67 To join the ap-stat listserver go to http://apcentral.collegeboard.com/apc/public/homepage/4631.html
http://www.cvgs.k12.va.us/DIGSTATS/ DIG Stats is an interesting, basic and introductory WWW resource for integrating statistics and data visualization into mathematics and science courses in secondary schools, community colleges and undergraduate programs. In particular, much of it is very accessible to secondary school teachers and students. There are three modules covering concepts from descriptive statistics, inferential statistics, and graphical analysis (two dimensional graphical analysis and three dimensional data visualization). Each module has discussions on various topics (for example in inferential statistics the topics are: t-test, ANOVA, correlation, factorial, regression and chi-squared). Each module has a selection of interesting associated activities, most of which are based on data sets which are available in either Excel or TI-83 format. The activities are well motivated and illustrated nicely with relevant background material.
http://tilastokeskus.fi/tup/verkkokoulu/index_en.html (in English) http://tilastokeskus.fi/tup/verkkokoulu/index.html (in Finnish) The eCourse in Statistics’ main purpose is usage skills of statistics via Statistics Finland’s Internet site. It is offered free of charge and has a total of five study modules on different statistical topics via the Internet. The material is, however, much more general and useful to anyone using the Internet to look at statistics including secondary students studying Mathematics and the Social Sciences and adult learners. eCourse in Statistics contains versatile information on statistics; it makes the basic concepts of statistics familiar and explains the backgrounds of statistical research as well as how statistical data can be used. On eCourse in Statistics one can learn about the basics of statistical thinking and how to read and use statistics. Other subjects that can be studied include demographics, national accounts and indices. eCourse in Statistics also offers instructions and hints for searching for statistical information. The study materials requires no prior statistical knowledge. The material intended for self-study includes exercises and examples of actual statistical data. For more information contact: Ms Reija Helenius at firstname.lastname@example.org or at +358 9 1734 3677.
Exploring Data - Rex Boggs’ Website http://exploringdata.cqu.edu.au/ The Raybould Tutorial Fellowship in Queensland names a teacher each year as Raybould Fellow who spends a semester on developing a project in senior secondary mathematics. Rex Boggs was the 1997 Raybould Fellow. His project was to provide curriculum support for Exploring Data and make his findings available in a website. Rex did an excellent job in creating this website that contains activities, worksheets, overhead transparency masters, datasets, and assessment to support data exploration. It also contains articles designed to enhance the statistics knowledge of teachers as well as modest lists of other websites, texts, and java applets. Topics include: an introduction to exploring data, looking for patterns, stemplots, dotplots, histograms, measures of location, measures of spread, boxplots, normal plots, scatterplots, assessment, datasets, resources, linear regression, normal distribution, probability, sampling, confidence intervals, hypothesis testing, and curve fitting. Datasets are available in three formats: tab delimited, Excel, and NCSS Jr. Navigation is very easy. There is a useful simple search engine for key words.
Esta página contiene varias publicaciones sobre didáctica de la probabilidad y didáctica de la estadística dirigidas a profesores de educación primaria y secundaria. Las publicaciones presentan reflexiones sobre los contenidos, información sobre dificultades y errores en los estudiantes y ejemplos de actividades que pueden usarse en el aula.
This web page contains different publications on probability and statistics education directed to primary and secondary school teachers. These publications include reflection on the contains, information on students’ difficulties and errors and examples of possible activities to be used in the classroom.
http://www.hs.ttu.edu/hdfs3390/hothand.htm The purpose of this website is to give students resources to study the occurance of streaks (for example, hitting safely in many baseball games consecutively) and other exceptional performances in sports. But, it also contains a comprehensive list of links to websites about statistics and sports.
http://courses.ncssm.edu/math/Stat_Inst/links_to_all_stats_institutes.htm The North Carolina School of Science and Mathematics (NCSSM) is a superb two-year, public, residential high school in Durham, North Carolina. The Mathematics and Computer Science Department of NCSSM has sponsored four excellent institutes to date for teachers to learn more about statistics and the teaching of statistics in 1999 (four weeks), 2000, 2001, and 2004. Instructors for the institutes including some of the very top statistics educators in the United States.
These institutes are very high-powered and the level for most of them is for those high school teachers who want a much deeper understanding of statistics, far beyond what they would be expected to offer in their classrooms. Clicking on the 1999 Statistics Institute link produces copies of the extensive notes presented on the topics of theory of inference, regression analysis, experimental design, and categorical data analysis and surveys. The 2000 institute replicated that of 1999 but added the helicopter project in experimental design as well as a new section on blocking, a sampling exercise on the river problem, and 45 excellent pages of web-based resources and activities for advanced placement statistics teachers. In 2001, the emphasis was on creating materials that would help teachers teach the experimental design part of the advanced placement statistics course. The notes are provided for the areas of probability and simulation, a closer look at experimental design, statistical inference scenarios, sample statistical exploration, probability games, and many laboratory activities using JMP INTRO. The topic for 2004 focuses on experimental design.
http://illuminations.nctm.org The NCTM Illuminations (huge) website is designed to illuminate new vision for school mathematics as presented in NCTM’s Principles and Standards for School Mathematics (2000). Each grade band (preK-2, 3-5, 6-8, 9-12, and across the grades) contains five sections: I-Math Investigations of ready-to-use interactive multimedia lessons; selected web resources of the best carefully reviewed Internet math resources found by their panel; Internet-Based lesson plans of classroom-ready lessons developed by expert teachers; Interactive Mathlets of java applets that can be used to explore mathematics and to create interactive lessons; and, Inquiry on Practice of video vignettes, research reports, and article for teachers to encourage thinking and discussion on teaching and learning.
The site is devoted to all of mathematics, so there is some searching to be done to find items specifically dedicated to statistics. It is well worth the search. For example, under grades 9-12, Lessons, there is a very good lesson on Exploring Linear Data, as well as Exploring the Birthday Paradox using a Monte Carlo simulation and graphing calculators. Interpreting the Real-Life Meaning of Graphical Representations of Data has eight excellent lessons.
Of special interest is scrolling to the bottom of the grades 9-12, I-math page and clicking on Standards for Grades 9-12: Data Analysis and Probability. There are 45 resources listed in the section in the middle of the I-Math page called Selected Web Resources. Each of them has a careful review presented and where to find the link. The resources are: Polling – Choosing a Sample; World Shopping Spree; Airfares; The Problem of Points; Internet Projects for Elementary Statistics; Rice Virtual Lab in Statistics; K-12 statistics; Polling – Writing Questions; Polling – Sample Variation and the Margin of Error; Data Collecting in the Classroom; Buffon’s Needle; Global Warning; Probability by Surprise; Rock On; You Light up my Life; Planet Earth – Almost 6 Billion Served; Epidemic Proportions; El Nino or El No-No; First Class First? Using Data to Explore the Tragedy of the Titanic; How Many Combinations; The Economics of Professional Sports Comparative Advantage and Specialization; The Big Mac Index; Salaries; The Letters of the Alphabet; Plan Your Own Trip to Asia or Africa!!!; Where Will you Decide to Live?; ACC Basketball – Comparing Statistics; How Far Do I Travel, How Far Do I Go?; Ms. Reddy’s Stock WebQuest; Looking at Statistics Through Circles; A Functional Housing Market; Trips; Probability Computer Projects with Mathematics; Numbers in Search of a Problem; Web Stat 2.0; The Cereal Box Problem; The Million $ Mission; The Hermit’s Epidemic; Imperfect Prediction; Statistics – Polls, What do the numbers tell us?; The Data and Story Library; Population Growth and Balance; Stick or Switch; The Mathematics of Airline Safety.
http://www.pbs.org/teachersource/math/high-statistics.html Although not all of the 19 resources at this site truly contain statistics and probability, it is still a wonderful site to find interesting contexts in marketing, polling, financial markets, sampling methods, rhythmic combinations in jazz/blues, baseball, and space. Each resource contains such items as learning objectives, necessary materials, estimated time, teaching procedure, extensions, online resources and relevant national standards. Resource titles include: Class in America; The Democracy Project; Electric Money; First Measured Century; Harriman Expedition; Jazz; Ken Burns American Stories; and NOVA presentations on space.
http://www.pen.k12.va.us/VDOE/Instruction/Elem_M/mprobstat.html Written by the Virginia Department of Education. This document introduces a staff development program designed to assist teachers in implementing the 2001 Virginia Standards of Learning for mathematics, and enhancing teachers’ content knowledge and their use of instructional strategies for teaching the probability and statistics Standards of Learning. Included in this document are a sample of meaningful and engaging explorations, problem solving, and hands-on experiences correlated to the probability and statistics strand of the grades K-5 and grades 6-8. These activities include instructional and implementation strategies for teachers, as well as training in ways to gather, represent, analyze and interpret data to guide instruction and classroom assessment.
www.eduscol.education.fr/D0015/LLPHAG03.htm (in French) (2002), rapport au ministre de l’éducation nationale, sous la direction de Jean Pierre Kahane; Edition Odile Jacob, 15 rue Soufflot, 75005 Paris, France. pages 51-86. La commission de réflexion sur l’enseignement des mathématiques mène une réflexion à long terme . Son rapport sur les Statistiques et les Probabilités est organisé autour des titres suivants:la place de l’aléatoire dans l’enseignement des mathématiques;statistique et outils logiciels;l’aléatoire dans quelques champs disciplinaires; différents temps et lieux de formation; la formation des professeurs. Comme les autres rapports de la commission, ce document est accessible à l’adresse: http://www.eduscol.education.fr/D0015/LLPHAG03.htm
(English translation of the above is: Report to the minister of education concerning reflections on the future of mathematics education. Following topics are dealt with: randomness in mathematics education, statistics and software tools, randomness in some topics, time and place of instruction, teacher training. More information is available at http://www.eduscol.education.fr/D0015/LLPHAG03.htm.)
statlink.duke.edu Statlink.duke.edu is a series of introductory statistics lectures. As of July 2003, the site includes lessons on univariate and bivariate descriptive statistics. RealPlayer (free download) is required to view the lectures. Univariate topics include graphics (histogram, boxplot, and stemplots); number summaries (mean, median, mode, range, interquartile range, standard deviation); and a case study on lead exposure on a child’s development). Bivariate topics include graphics (mosaic plot, side-by-side boxplots, and scatterplot); number summaries (correlation, regression); and the case study revisited for bivariate considerations. JMP is included that displays all the material covered. Lectures last from 5 minutes to almost 20. Although the site has a lot of work yet to do, both on what has been started as well as topics to be covered, it is worth a look, especially the case study. The site will be beneficial for both teachers and students.
faculty.vassar.edu/lowry/VassarStats.html (for the website) faculty.vassar.edu/lowry/webtext.html (for the textbook) The VassarStats web site is a useful and user-friendly tool for statistical computation. The accompanying text Concepts and Applications of Inferential Statistics is a free, full-length, and occasionally interactive statistics textbook. Richard Lowry, Professor of Psychology at Vassar College is the author of both sites. They are extremely well done. Note that the sites include all procedures appropriate for an advanced placement statistics course (USA) and beyond.
VassarStats is a computational site that describes the calculation to be made including very interesting examples. The user inputs data, sometimes from a spreadsheet, in the areas of probabilities including Bayes’ Theorem (in addition to a separate Clinical Research calculator that calculates sensitivity, specificity, predictive values and much more), distributions (Binomial, Poisson, Chi-Square, t, correlation, Normal through Central Limit Theorem and standard errors), procedures applicable to categorical frequency data (including Fisher’s Exact test and log-linear analysis for a 3-way contingency table), procedures applicable to ordinal data (through one factor independent and correlated analyses), correlation and regression, t-tests, one and two factor anova, analysis of covariance, and some miscellanea such as resampling estimates for two independent means and power for the Chi-Square Goodness of Fit test.
The text is very well written. It introduces most topics from a conceptual point of view, includes wonderful examples, and provides the appropriate formulas. The topics cover principles of measurement, distributions, introduction to correlation and regression, a first glance of statistical significance, basic concepts of probability, sampling distributions, tests of significance, chi-square procedures, an introduction to testing one mean, estimation, two independent samples, correlated samples, anova for independent samples, anova for correlated samples, two-way anova for independent samples, analysis of covariance.
(2000), rapport sur la science et la technologie n°8, animateur: Paul Malliavin, membre de l’académie des sciences: editions Tec et Doc, 11 rue Lavoisier, 75384 Paris cedex 08, France. 185 pages with an introduction and recommendations in English (pages 9-15). Cet ouvrage a été rédigé par un groupe de travail mis en place par l’académie des sciences .Il s’ouvre sur neuf constats et recommandations rédigés en français et en anglais. Suivent quatre chapitres: présentation de la discipline; la recherche méthodologique en statistique; la statistique dans ses interactions avec les autres disciplines; formations et métiers de la statistique. La table des matières et l’introduction sont accessibles à l’adresse: http://www.academie-sciences.fr/publications/rapports.htm. (English translation of the above is: Report on the activities of a working group established by the ‘Academie des Sciences’ dealing with statistics as a discipline, research methodology and statistics, statistics and other disciplines, instruction and professions in statistics. Recommendations are given in French and English. The table of contents and the introduction are available at http://www.academie-sciences.fr/publications/rapports.htm.)
in Burke, Maurice and Curcio, Frances R. (Editors), Learning Mathematics for a New Century (2000 Yearbook of the National Council of Teachers of Mathematics)Published by National Council of Teachers of Mathematics (Reston, Virginia, USA) ISBN 0-87353-479-4 This chapter appears on Pages 158 to 173 of the Yearbook. Despite its short length it is a wonderful introduction for teachers and others to deeper exploratory data analysis, association, simulation through resampling (that is, the bootstrap), and survey sampling. The chapter ends with a concise listing “An Overview of Important Statistical Concepts” that is broken down by elementary school (through age 12), middle school (ages 10 to 14), and high school (ages 14 to 19).
(2002), rapport au ministre de l’éducation nationale, sous la direction de Jean Pierre Kahane; Edition Odile Jacob,15 rue Soufflot, 75005 Paris, France. pages51-86. La commission de réflexion sur l’enseignement des mathématiques mène une réflexion à long terme . Son rapport sur les Statistiques et les Probabilités est organisé autour des titres suivants:la place de l’aléatoire dans l’enseignement des mathématiques;statistique et outils logiciels;l’aléatoire dans quelques champs disciplinaires; différents temps et lieux de formation; la formation des professeurs. Comme les autres rapports de la commission, ce document est accessible à l’adresse: http://www.eduscol.education.fr/D0015/LLPHAG03.htm.
(English translation of the above is: Report to the minister of education concerning reflections on the future of mathematics education. Following topics are dealt with: randomness in mathematics education, statistics and software tools, randomness in some topics, time and place of instruction, teacher training. This document can also be obtained for free on the Internet at http://www.eduscol.education.fr/D0015/LLPHAG03.htm.)
ISBN: 0-8058-5399-5 Published by Lawrence Erlbaum Associates, Inc. (Mahwah, New Jersey, USA), 2006, 224 Pages, US $36.95, Hardcover “This book reveals the development of students’ understanding of statistical literacy. It provides a way to “see” student thinking and gives readers a deeper sense of how students think about important statistical topics. Intended as a complement to curriculum documents and textbook series, it is consistent with the current principles and standards of the National Council of Teachers of Mathematics.” (Quoted from Lawrence Erlbaum webpage).
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