All of the titles listed are available for checkout from the Department of Curriculum & Instruction. Both dvd and vhs formats are available
Learning Math: Data Analysis, Statistics, and Probability
Download 355.55 Kb.
|
- Navigate this page:
- Individual Program Descriptions
- Learning Math: Geometry
Learning Math: Data Analysis, Statistics, and ProbabilityA video- and Web-based course on basic concepts of statistics for K-8 teachers; 9 half-hour and 1 one-hour video programs, course guide, and Web site; graduate credit available 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, each with 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. ISBN: 1-57680-481-X Individual Program Descriptions1. Video 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. 2. Video 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. 3. Video 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. 4. Video 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. 5. Video 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. 6. Video 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. 7. Video 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. 8. Video 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. 9. Video 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. 10. Video 10. Classroom Case Studies Explore how the concepts developed in this course can be applied at different grade levels through case studies of K-2, 3-5, and 6-8 teachers (former course participants), all of whom have adapted their new knowledge to their classrooms. Learning Math: GeometryA video- and Web-based course for K-8 teachers; 12 half-hour video programs, course guide, and Web site; graduate credit available Learning Math: Geometry, a video- and Web-based course for elementary and middle school teachers, introduces geometric reasoning as a method for problem-solving. In this course, which is organized around the content standards of the National Council of Teachers of Mathematics (NCTM), you will explore the properties of geometric figures; make constructions using pencil and paper, and also using dynamic software; and practice using mathematical language to express ideas and justify your reasoning. Some important geometric ideas, such as symmetry, similarity, and trigonometry, will also be examined. You will begin to explore the basis of formal mathematical proofs and solid geometry. The course material progresses from more visual, intuitive ways of solving problems to more formal explorations of geometric ideas, properties, and proofs. The course consists of 10 approximately two-and-a-half-hour sessions, each with a half hour of video programming, problem-solving activities provided online and in a print guide, and interactive activities and demonstrations on the Web. The 10th session (choose video program 10 or 11 and 12, depending on your grade level) explores ways to apply the concepts of geometry you've learned in your own classroom. Produced by WGBH Educational Foundation. 2003. ISBN: 1-57680-597-2 Directory: Uploads Uploads -> 587 Return function, r i(X) r i(0) r i(1) r i(2) r i(3) 1 0 2 4 6 Thermal Station, I 2 0 1 5 6 3 0 3 5 6 10 Uploads -> Department of science and humanities department of mathematics part-a questions and answers Uploads -> The Case Against the nypd’s Quota-Driven ‘Broken Windows’ Policing What Is It? Uploads -> For want of a nail Uploads -> Ownership Models There are two different types of ownership models Uploads -> Police Militarization Uploads -> City of rising star regular meting thursday, july 14, 2016 Uploads -> Township of winfield Uploads -> Stop Militarizing Law Enforcement Act of 2014 Uploads -> The Black Panther Party’s Ten-Point Program What We Want Now! Download 355.55 Kb. Share with your friends:
|