Using TIMSS Videos to Improve Learning of Mathematics: A Resource Guide
Lessons by Mathematical Topics
This index lists video lessons and lesson segments by mathematical topic. These include content topics (e.g., algebra, geometry, and statistics) and process topics (e.g., problem solving, representation, and proof). For more discussion of certain terms, see the Terminology section. Links provide access to further content on particular mathematical topics.
Algebra,
- distributive law, HK4, N3
- equations, linear,
- graphing, N1, S4, US1
- identities, HK4
- interpreting,
- solving, S4, HK4
- system, HK2
- equations, quadratic, S1
- exponents, C1, C3, C4, US3, HK1 (degree 2 only)
- expressions with variables, S2, US2
- factoring, C2 3:28—4:20, N3, N4, S1
- formulas, N1, C2
- identity, HK4
- inequalities, J3, J4
- square (of a number), HK1
- square root, HK1
- variables, HK4, S2, US2
Angles, J1
Angle sum, A1, J1 6:50—8:00, HK3
Approximation, C2
Archimedes formula (C = 2r), C2
Area, of polygons, J2, HK3
Auxiliary line, J1, US4
Circle, perimeter (circumference), C2
Congruence, A2
Counterexample, use of, HK4, 18:45
Different solution methods, see Problems with multiple entry points
Distributive law, HK4, N3
Equations, linear,
- graphing, N1, S4, US1
- identities, HK4
- interpreting,
- solving, S4, HK4
- system, HK2
Equations, quadratic, S1
Exponents, C1, C3, C4, US3, HK1 (of degree 2 only)
Expressions with variables, S2, US2
Exterior angle, A1
Factoring, C2 3:28—4:20, N3, N4, S1
Formulas, N1, C2
Geometry,
- angles, J1
- angle sum, A1, J1 6:50—8:00, HK3
- Archimedes formula (C = 2r), C2
- area, polygons, J2, HK3
- auxiliary line, J1, US4
- circle,
- perimeter (circumference), C2
- congruence, A2
- parallel lines, J1, J2
- perimeter, C1, C2
- polygons,
- angle sum, A1, HK3
- area, J2, HK3
- convex, A1, HK3
- non-convex, A1, HK3
- perimeter, C1, C2
- Pythagorean theorem(3),
- applications of, C1, C2 8:34—9:58, C4 38:00—49:00, S3, US2 10:39—10:55
- in three dimensions, C4 38:00—49:00, S3
- introduction to, N2
- preparation for, HK1
- secants, US4
- solids, S3
- tangents, US4
- triangles,
Geometry software, use of,
- work in pairs, A1 19:06—42:15
- whole class, J2 0:27—1:27, 46:36—49:47
Heuristics,
- auxiliary line, J1, US4, HK3
- reducing to simpler problem, HK3, J1 4:32—10:10
- reducing to previously solved problem, HK3
- using related problems, C2 4:37—13:1
Identity, HK4
Inequalities, J3, J4
Inverse of square root, HK1, N2, S3 36:30—49:00
Line graph, J3 1:25—5:01, 46:32; J4 27:27—29:01
Meaning of,
- exterior angle, A1
- identity, HK4
- convex, A1 14:52—16:05, HK3 0:56—6:59
- equilateral but not equiangular, HK3 6:40—21:35
- non-convex, A1, HK3 5:39—6:40
- polygon, A1 6:15—18:52
- ray, A1
- variable, HK4, US2
Motivating,
- concept, HK4 1:00—19:27
- formula, C2 0:00—26:44
- different form of, C2 39:51
- theorem, N2 5:50—6:59, 10:29—10:50
- variables, usefulness of, J4
Notation, use of, see Representations
Parallel lines, J1, J2
Perimeter, C1, C2
Polygons,
- angle sum, A1, HK3
- area, J2, HK3
- convex, A1 14:52—16:07, HK3 0:56—6:59
- equilateral but not equiangular, HK3 6:40—21:35
- meaning of, A1 6:15—18:52
- non-convex, A1 14:52—16:07, HK3 5:39—6:40
Problem solving, J4
- heuristics,
- auxiliary line, J1, US4, HK3
- reducing to simpler problem, HK3, J1 4:32—10:10
- reducing to previously solved problem, HK3
- using related problems, C2 4:37—13:1
Proof, N2, HK2, HK3, HK4
Pythagoras, N2
Pythagorean theorem,
- applications of, C1, C2 8:34—9:58, C4 38:00—49:00, S3, US2 10:39—10:55
- informal proof of, N2 10:29—16:01
- in three dimensions, C4 38:00—49:00, S3
- introduction to, N2
- preparation for, HK1
Ray, A1
Representations,
- expanded and factored form, HK4 13:50—14:14
- imprecise notation, HK4 26:33
- notation for multiplying equation by constant, J4 00:00—7:00, S4 00:16—8:10
- relationships among quantities,
- bars, S2
- line graph, J3 1:25—5:01, 46:32; J4 27:27—29:01
- set notation used to indicate solution, S4 3:34
Secants, US4
Solids, S3
Square (of a number), HK1
Square root, HK1
- inverse of, HK1, N2, S3 36:30—49:00
Statistics, A3, A4
Tangents, US4
Theorem, Motivating, N2
Triangles,
Variables, HK4, S2, US2
