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Teaching Math: A Video Library, 5-8
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- Individual Program Descriptions
- Teaching Math: A Video Library, 9-12
- Learning Math: Measurement
Teaching Math: A Video Library, 5-8A video library for grade 5-8 math teachers; 6 fifteen-minute video programs and guide See real middle school teachers incorporating the National Council of Teachers of Mathematics standards into their lessons, while learning as much about teaching as their students do about math. The programs demonstrate how teachers guide and assess student understanding, and offer strategies for keeping students motivated and engaged at this critical age. Produced by WGBH Boston. 1997. ISBN: 1-55946-970-6 Individual Program Descriptions1. Fraction Tracks Using a board game, a fifth-grade class studies and practices fractions and equivalent fractions. 2. Hexominoes A fifth-grade class studies geometry by creating hexominoes, figures made up of six squares. 3. The Location A sixth-grade teacher uses a secret location game to teach the class about statistics, connections, and reasoning. 4. Building Viewpoints Seventh-graders learn about spatial sense and geometry from a blueprint of ancient buildings. They then create their own three-dimensional models and draw them from different viewpoints. 5. The Largest Container Seventh- and eighth-grade students work on geometry and measurement as they attempt to create the largest container from a single sheet of paper. 6. Building Rafts With Rods Groups of students learn about patterns, functions, and problem-solving as they calculate the surface area and volume of various-sized rafts, then graph their data. Teaching Math: A Video Library, 9-12A video library for high school math teachers; 20 video programs (from 10 to 30 minutes in length) and guide See how high school teachers use the National Council of Teachers of Mathematics standards and group learning to reach a broad range of students. In this library, teachers demonstrate the fine art of guiding students through reasoning and problem solving. Students comment on the new way of learning, often expressing frustration as well as the sense of accomplishment they feel when working through problems with peers. Produced by WGBH Boston. 1996. ISBN: 1-55946-957-9 Individual Program Descriptions1. Introduction A 10-minute overview of the components of the video library. 2. Alice to the Moon Alice in Wonderland is the focus of a lesson on algebra and functions for a tenth-grade class. 3. Group Test Students work in groups to solve test problems on mathematical modeling and functions. 4. Exploring Functions Students practice process standards such as reasoning and problem-solving as they work in groups to solve two equations using more than one method—such as graphing, algebra, or geometry. 5. Bungee Jump Students work with functions and statistics while they investigate the mathematics of bungee jumping. 6. Staircase Problem Students are challenged to identify a pattern and then find a rule that determines the pattern. 7. Ferris Wheel The concept of a ferris wheel is used as students work with functions, algebra, geometry and trigonometry. 8. Properties of Parallelograms Geometry from a synthetic perspective and mathematical structure are the focus of this program where students create parallelograms. Students are encouraged to use mathematical vocabulary as they explain how their work illustrates the properties of a parallelogram. 9. Finding Proof Students are introduced to the historical context of proofs and to Greek mathematician Thales, who sought proof for mathematical conclusions. 10. Exploring Congruence Students focus on geometry from a synthetic perspective and mathematical structure as they draw triangles using specific measurements. 11. Enveloping Functions Students review graphing in cases when the coefficient of the function is a number and the coefficient is a variable. 12. Calculator-Based Labs Student groups learn how they will conduct two experiments using the Calculator-Based Laboratory (CBL) system—a temperature probe and a motion detector attached to graphing calculators. 13. Taxicabs Students share their homework on the probability of taxicabs starting downtown and ending downtown after two fares. 14. Fish Derby In a linear programming problem, students work in groups using the data they gathered and information on fishes’ breeding and feeding habits to determine optimal fish populations in a fictional pond. 15. Maximizing Profits A class is divided into small groups to discuss problem-solving strategies, such as finding a verbal model, assigning labels, and writing an algebraic model based on maximizing profit on sales of necklaces and bracelets. 16. Conjectures Through Graphing Students work in groups to solve four problems on derivatives of exponential functions. 17. Problem Solving Excerpts from 10 classrooms where students are learning mathematics through problem solving. Teachers use multilayered tasks to engage students in making conjectures, constructing meaning, and developing strategies. 18. Communication Excerpts of seven classrooms demonstrate communication about mathematical ideas in a range of formats, including whole-class discussions, small groups, writing, and student presentations. 19. Reasoning Excerpts of seven classrooms show students reasoning about mathematical ideas in whole-class discussions, small group work, and class presentations. 20. Connections In excerpts from eight classrooms, students make connections within mathematics, to other disciplines, and to situations in the real world. Learning Math: MeasurementA video- and Web-based course for K–8 teachers; 12 half-hour video programs (10 per grade band), course guide, and Web site; graduate credit available Learning Math: Measurement, a video- and Web-based course for elementary and middle school teachers, examines some of the major ideas in measurement. You will explore procedures for measuring and learn about standard units in the metric and customary systems, the relationships among units, and the approximate nature of measurement. You will also examine how measurement can illuminate mathematical concepts such as irrational numbers, properties of circles, and area and volume formulas, and discover how other mathematical concepts can inform measurement tasks such as indirect measurement. 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, 11, or 12, depending on your grade level) explores ways to apply the concepts of measurement you've learned in your own classroom. Produced by WGBH Educational Foundation. 2002. ISBN: 1-57680-728-2 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? 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