| Description |
6 videodiscs (approximately 1080 min.) : sound, color ; 4 3/4 in. + 1 course workbook (iv, 287 pages ; 27 cm) |
| Series |
Great courses. High school, mathematics |
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Great courses (DVD). Science & mathematics.
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| System Details |
DVD, full screen. |
| Note |
Thirty-six lectures (30 minutes each) on six discs. |
| Bibliography |
Course guidebook includes bibliographical references (pages 286-287). |
| Contents |
Disc 1. Geometry: ancient ropes and modern phones -- Beginnings: jargon and undefined terms -- Angles and pencil-turnng mysteries -- Understanding polygons -- The Pythagorean theorem -- Distance, midpoints, and folding ties. |
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Disc 2. The nature of parallelism -- Proofs and proof writing -- Similarity and congruence -- Practical applications of similarity -- Making use of linear equations -- Equidistance: a focus on distance. |
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Disc 3. A return to parallelism -- Exploring special quadrilaterals -- The classification of triangles -- "Circle-ometry" : on circular motion -- Trigonometry through right triangles -- What is the sine of 1⁰? |
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Disc 4. The geometry of a circle -- The equation of a circle -- Understanding area -- Explorations with pi -- Three-dimensional geometry: solids -- Introduction to scale. |
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Disc 5. Playing with geometric probability -- Exploring geometric constructions -- The reflection principle -- Tilings, platonic solids, and theorems -- Folding and conics -- The mathematics of symmetry. |
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Disc 6. The mathematics of fractals -- Dido's problem -- The geometry of braids: curious applications -- The geometry of figurate numbers -- Complex numbers in geometry -- Bending the axioms: new geometries. |
| Performer |
Professor James S. Tanton, Mathematician in Residence at the Mathematical Association of America (MAA). |
| Summary |
Geometry, derived from the Greek "ge" for earth and "metria" for measure, evolved from practical concerns, such as measuring tracts of land, navigation, and architectural design. The course covers three major aspects: key beliefs that make geometry work, principles of geometry, and fun and unusual features that may not be presented in some programs. |
| Subject |
Geometry -- Videodiscs.
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Mathematics -- Videodiscs.
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| Genre |
Filmed lectures.
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Educational films.
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Instructional films.
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DVD-video discs.
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| ISBN |
9781629970707 |
|
1629970700 |
| Music No. |
1033 Teaching Company |
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ID1033A-01 Teaching Company |
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PB1033A Teaching Company |
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