Research for Better Schools

Using TIMSS Videos to Improve Learning of Mathematics: A Resource Guide

Lessons by Topic

This index lists video lessons and lesson segments by mathematical topic and by the pedagogical features they illustrate. These include content topics (e.g., algebra, geometry, and statistics) and process topics (e.g., problem solving, representation, and proof). The same clip may illustrate several topics. The clips were chosen not for exemplary practices (such as the use of precise language) but to provide specific examples to provoke discussion of classroom practices. For more discussion of certain terms, see the Terminology section. Links provide access to further content on particular mathematical topics.

This list contains links to both mathematical and pedagogical topics, but the two are also listed as separate documents, one for mathematical topics and one for pedagogical topics.

Topics that refer to a lesson without a particular time clip are relevant throughout that lesson. Specific time clips are provided with topics when possible, but this list is not comprehensive.

Algebra,

Angles, J1

Angle sum, A1, J1 6:50–8:00, HK3

Approximation, C2

Archimedes formula (C = 2r), C2

Area, of polygons, J2, HK3

Assessment, asking for show of hands, C1 19:29; C3 34:35; J2 22:47–22:58, 47:40–47:55, J3, J4

Auxiliary line, J1, US4

Blackboard, use of, to,

Calculator use, A1 41:14–41:38; A3 15:01, 21:15, 34:31–41:00; A4 1:03:09; C1 4:48–5:45, 10:14–10:55, 12:03–12:59; C2 19:49–22:28, 26:44–27:46; S3 2:59 through remainder of lesson; US3 46:19

Circle, perimeter (circumference), C2

Congruence, A2

Connections,

Counterexample, use of, HK4, 18:45

Different solution methods, see Problems with multiple entry points

Distributive law, HK4, N3

English as second language, HK1, HK3, HK4

Equations, linear,

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,

Geometry software, use of,

Group work, S1 3:11–36:19; S2 20:00–23:02; US1 1:13–1:41, 2:54–3:25, 6:39–7:20, 11:37–13:12, 30:42–31:26

Heuristics,

History of mathematics,

Identity, HK4

Individual work, A1; J3 4:55–18:32; HK4 9:35–11:18, 27:46–31:42; N2 29:20–50:20; S4 8:18–17:03, 23:56–30:38, 34:46–37:53, 42:02–45:00

Inequalities, J3, J4

Instructional decisions,

Interactions with students, working

Inverse of square root, HK1, N2, S3 36:30–49:00

Language (spoken and written),

Leading a discussion,

Line graph, J3 1:25–5:01, 46:32; J4 27:27–29:01

Maintaining the challenge of the task, J3, N2, S3

Mathematics, preserving integrity of, while maintaining appropriate level, C2 14:58–18:47

Meaning of,

Mistakes in whole-class discussion, S2 20:00–23:02, S4 30:38–34:46

Motivating,

Multiple entry points (solution methods), problems with, J1

Multiple representations of a topic, J4 26:16–29:19, S4 37:45–41:58

Notation, use of, see Representations

Overhead projector,

Parallel lines, J1, J2

Peer assessment, C3 34:47–38:54; S2 20:00–23:02

Perimeter, C1, C2

Polygons,

Presenting problems, J3 1:00–4:39

Problem solving, J4

Proof, N2, HK2, HK3, HK4

Pythagoras, N2

Pythagorean theorem,

Ray, A1

Real-world connections, N1 12:32–16:03, US2 20:54–26:47

Representations,

Scaffolding, N4, J1, US4

Secants, US4

Small group, US1 2:35–20:03, 20:52–30:35

Solids, S3

Solution launches the main topic of the lesson, HK4 3:17–4:33, 5:52–7:35, 12:47–17:40; J4 17:09–21:11, 23:30–25:43

Something "taught" but not learned,

Square (of a number), HK1

Square root, HK1

Statistics, A3, A4

Student-created problems, J1

Students, at the board,

Students working in pairs, A1

Tangents, US4

Teacher responses to

Technology, use of,

Theorem, Motivating, N2

Triangles,

Van Ceulen, C2 20:07–22:10

Variables, HK4, S2, US2

Video, examples of linear and non-linear relationships, N1 12:32–14:36

Wait time, N1 3:30–12:15, S4 1:27, US1 2:00, 2:12, 7:27

Whole-class instruction,

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