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Teacher Resources/Mathematics
Learning Math: Data Analysis, Statistics, and Probability

A video- and Web-based course on basic concepts of statistics for K-8 teachers; 11 half-hour video programs, course guide, and Web site; graduate credit available

Now on DVD

Learning Math: Data Analysis, Statistics, and Probability is one of five video- and Web-based mathematics courses for elementary and middle school teachers. These courses, organized around the content standards of the National Council of Teachers of Mathematics (NCTM), will help you better understand the mathematics concepts underlying the content that you teach.

Data Analysis, Statistics, and Probability introduces statistics as a problem-solving process. In this course, you can build your skills through investigations of different ways to collect and represent data, and describe and analyze variation in data. Through practical examples, you will come to understand some statistical concepts, such as data representation, variation, the mean and median, bivariate data, probability, designing statistical experiments, and population estimations. The concluding case studies, divided into grade bands for K-2, 3-5, and 6-8 teachers, show you how to apply what you have learned in your own classroom. The course consists of 10 two-and-a-half hour sessions — nine topic sessions and a classroom case study targeted to the three different grade bands. Each has a half-hour of video programming, problem-solving activities available in print and on the Web, interactive activities and demonstrations on the Web, and questions for class discussion or individual reflection.

Produced by WGBH Educational Foundation. 2001.

Closed Caption     ISBN: 1-57680-481-X
K-8 teachers share understandings of probability.
K-8 teachers share understandings of probability.

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Individual Program Descriptions
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Individual Program Descriptions

VODVideo 1. Statistics As Problem Solving
Consider statistics as a problem-solving process and examine its four components: asking questions, collecting appropriate data, analyzing the data, and interpreting the results. This session investigates the nature of data and its potential sources of variation. Variables, bias, and random sampling are introduced. Go to this unit.

VODVideo 2. Data Organization and Representation
Explore different ways of representing, analyzing, and interpreting data, including line plots, frequency tables, cumulative and relative frequency tables, and bar graphs. Learn how to use intervals to describe variation in data. Learn how to determine and understand the median. Go to this unit.

VODVideo 3. Describing Distributions
Continue learning about organizing and grouping data in different graphs and tables. Learn how to analyze and interpret variation in data by using stem and leaf plots and histograms. Learn about relative and cumulative frequency. Go to this unit.

VODVideo 4. The Five-Number Summary
Investigate various approaches for summarizing variation in data, and learn how dividing data into groups can help provide other types of answers to statistical questions. Understand numerical and graphic representations of the minimum, the maximum, the median, and quartiles. Learn how to create a box plot. Go to this unit.

VODVideo 5. Variation About the Mean
Explore the concept of the mean and how variation in data can be described relative to the mean. Concepts include fair and unfair allocations, and how to measure variation about the mean. Go to this unit.

VODVideo 6. Designing Experiments
Examine how to collect and compare data from observational and experimental studies, and learn how to set up your own experimental studies. Go to this unit.

VODVideo 7. Bivariate Data and Analysis
Analyze bivariate data and understand the concepts of association and co-variation between two quantitative variables. Explore scatter plots, the least squares line, and modeling linear relationships. Go to this unit.

VODVideo 8. Probability
Investigate some basic concepts of probability and the relationship between statistics and probability. Learn about random events, games of chance, mathematical and experimental probability, tree diagrams, and the binomial probability model. Go to this unit.

VODVideo 9. Random Sampling and Estimation
Learn how to select a random sample and use it to estimate characteristics of an entire population. Learn how to describe variation in estimates, and the effect of sample size on an estimate's accuracy. Go to this unit.

VODVideo 10. Classroom Case Studies, Grades K-2
Explore how the concepts developed in this course can be applied through a case study of a K-2 teacher, Ellen Sabanosh, a former course participant who has adapted her new knowledge to her classroom. Go to this unit.

VODVideo 11. Classroom Case Studies, Grades 3-5, 6-8
Explore how the concepts developed in this course can be applied through case studies of a grade 3-5 teacher, Suzanne L'Esperance and grade 6-8 teacher, Paul Snowden, both former course participants who have adapted their new knowledge to their classrooms. Go to this unit.


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