|
|
xii | |
|
|
xiii | |
Acronyms and abbreviations |
|
xiv | |
|
1 The effectiveness of mathematics teaching study |
|
|
1 | (10) |
|
|
1 | (1) |
|
|
1 | (3) |
|
|
4 | (5) |
|
|
4 | (3) |
|
|
7 | (1) |
|
The participating English schools |
|
|
8 | (1) |
|
The participating Chinese schools |
|
|
9 | (1) |
|
|
9 | (2) |
|
2 Growing apart: worldwide pursuit of effective maths education |
|
|
11 | (15) |
|
|
11 | (1) |
|
Mathematics pedagogy: theories and practices |
|
|
11 | (6) |
|
|
11 | (2) |
|
Teaching and ability grouping |
|
|
13 | (1) |
|
|
14 | (1) |
|
|
15 | (1) |
|
|
16 | (1) |
|
|
16 | (1) |
|
|
16 | (1) |
|
Facts and factors in international maths learning gaps |
|
|
17 | (1) |
|
International comparisons of maths learning outcomes |
|
|
18 | (2) |
|
The IEA's international studies |
|
|
18 | (1) |
|
The ETS's IAEP 1 and IAEP 2 |
|
|
19 | (1) |
|
The OECD's assessments --- PISA |
|
|
19 | (1) |
|
International comparisons of maths teaching practices |
|
|
20 | (4) |
|
The TEA's TIMSS Video Studies |
|
|
20 | (2) |
|
The OECD's Teaching and Learning International Survey |
|
|
22 | (1) |
|
The learner's perspective study |
|
|
23 | (1) |
|
|
24 | (2) |
|
3 Four decades of educational effectiveness research in the West |
|
|
26 | (25) |
|
|
26 | (1) |
|
Educational effectiveness research and its subfields |
|
|
26 | (3) |
|
Five phases of educational effectiveness research |
|
|
26 | (1) |
|
|
27 | (1) |
|
Teacher effects vs school effects |
|
|
28 | (1) |
|
Early teaching effectiveness research in the US |
|
|
29 | (10) |
|
The definition of teaching effectiveness |
|
|
30 | (1) |
|
The methodological and conceptual development |
|
|
30 | (2) |
|
Effective teacher behaviours identified |
|
|
32 | (7) |
|
|
39 | (1) |
|
Teaching effectiveness research in the UK |
|
|
39 | (8) |
|
The research designs and methods utilised |
|
|
40 | (4) |
|
The universal interest in the individual child |
|
|
44 | (1) |
|
Effective teacher behaviours identified |
|
|
45 | (1) |
|
|
46 | (1) |
|
Teaching effectiveness research in other nations |
|
|
47 | (3) |
|
|
50 | (1) |
|
4 Research paradigm, design and methods |
|
|
51 | (10) |
|
|
51 | (1) |
|
|
51 | (1) |
|
|
52 | (3) |
|
Structured lesson observations (M1) |
|
|
55 | (1) |
|
Questionnaires to teachers and pupils (M2) |
|
|
56 | (1) |
|
Standardised mathematics tests (M3) |
|
|
57 | (1) |
|
Unstructured lesson observations (M4) |
|
|
57 | (1) |
|
Interviews with teachers (M5) |
|
|
57 | (1) |
|
Focus groups with teachers (M6) |
|
|
58 | (2) |
|
Integrating findings across methods |
|
|
60 | (1) |
|
|
60 | (1) |
|
5 Children and their maths teachers |
|
|
61 | (8) |
|
|
61 | (1) |
|
|
61 | (2) |
|
Children as classes of pupils in schools |
|
|
63 | (1) |
|
Maths teachers --- the demographic selves |
|
|
64 | (1) |
|
Maths teachers --- the professional selves |
|
|
64 | (4) |
|
|
64 | (1) |
|
Teacher school-based activities |
|
|
65 | (2) |
|
Teacher beliefs --- direct transmission or constructivist? |
|
|
67 | (1) |
|
Subjects) that teachers teach |
|
|
67 | (1) |
|
Time arrangement in the maths class |
|
|
67 | (1) |
|
Teacher self-perceived influence and social status |
|
|
68 | (1) |
|
|
68 | (1) |
|
6 Evaluating and correlating maths teaching and learning |
|
|
69 | (27) |
|
|
69 | (1) |
|
Quantity of maths teaching |
|
|
69 | (5) |
|
OTL 1 whole class interaction |
|
|
69 | (1) |
|
OTL 2 whole class lecture |
|
|
70 | (1) |
|
OTL 3 individual/group work |
|
|
70 | (1) |
|
OTL 4 classroom management |
|
|
71 | (1) |
|
OTL 5 Partial class interaction |
|
|
71 | (1) |
|
|
72 | (1) |
|
Summary on the OTL measures |
|
|
72 | (2) |
|
Quality of maths teaching |
|
|
74 | (10) |
|
ISTOF 1 assessment and evaluation |
|
|
74 | (1) |
|
ISTOF 2 clarity of instruction |
|
|
75 | (1) |
|
ISTOF 3 instructional skills |
|
|
76 | (2) |
|
ISTOF 4 promoting active learning and developing metacognitive skills |
|
|
78 | (2) |
|
ISTOF 5 classroom climate |
|
|
80 | (1) |
|
ISTOF 6 classroom management |
|
|
81 | (1) |
|
Summary on the ISTOF measures |
|
|
82 | (2) |
|
Outcomes of maths learning |
|
|
84 | (9) |
|
|
85 | (3) |
|
|
88 | (3) |
|
|
91 | (2) |
|
Effects of maths teaching |
|
|
93 | (2) |
|
|
95 | (1) |
|
7 Seeing maths teaching through different eyes |
|
|
96 | (40) |
|
|
96 | (1) |
|
Seeing maths teaching through the researchers' eyes |
|
|
96 | (12) |
|
Typical lesson flow of the maths class in England |
|
|
96 | (2) |
|
Key characteristics of the maths lessons in England |
|
|
98 | (3) |
|
Typical lesson flow of the maths class in China |
|
|
101 | (2) |
|
Key characteristics of the maths lessons in China |
|
|
103 | (5) |
|
Seeing maths teaching through individual teachers' eyes |
|
|
108 | (18) |
|
Teacher beliefs of effective maths teaching |
|
|
108 | (3) |
|
Teacher self-evaluations of their maths teaching |
|
|
111 | (14) |
|
International awareness and flexibility to change |
|
|
125 | (1) |
|
Seeing maths teaching through groups of teachers' eyes |
|
|
126 | (9) |
|
The focused maths lesson from England: content and process |
|
|
126 | (2) |
|
The focused maths lesson from England --- native colleagues' views |
|
|
128 | (1) |
|
The focused maths lesson from England --- foreign colleagues' views |
|
|
128 | (1) |
|
The focused maths lesson from China: content and process |
|
|
129 | (4) |
|
The focused maths lesson from China --- native colleagues' views |
|
|
133 | (1) |
|
The focused maths lesson from China --- foreign colleagues' views |
|
|
133 | (2) |
|
|
135 | (1) |
|
|
136 | (16) |
|
|
136 | (1) |
|
Correlations between maths teaching and learning |
|
|
136 | (4) |
|
The evaluation of teacher behaviours |
|
|
137 | (1) |
|
The evaluation of learning outcomes |
|
|
138 | (1) |
|
Correlating teaching with learning |
|
|
139 | (1) |
|
Multiple perspectives on effective maths teaching --- one aim |
|
|
140 | (4) |
|
|
140 | (1) |
|
In the maths teacher's mind |
|
|
141 | (2) |
|
In the local and foreign colleagues' mind |
|
|
143 | (1) |
|
Connecting numbers with voices |
|
|
144 | (7) |
|
Differentiation and ability gaps (EN) |
|
|
144 | (1) |
|
Pro direct transmission, re-inputs and partial interaction (EN) |
|
|
144 | (1) |
|
|
144 | (1) |
|
Teaching for all, pro-constructivist and whole class interaction (CN) |
|
|
145 | (1) |
|
The effectiveness of first input and teachers' SMK and PCK |
|
|
145 | (1) |
|
Lesson objectives, direct transmission and constructivist |
|
|
146 | (1) |
|
Self-reflection and metacognition |
|
|
146 | (1) |
|
Teacher questioning: who solves the problem? |
|
|
147 | (1) |
|
|
147 | (1) |
|
|
147 | (1) |
|
|
148 | (1) |
|
Classroom management and corresponding CPD needs |
|
|
148 | (1) |
|
|
148 | (1) |
|
|
149 | (1) |
|
|
150 | (1) |
|
|
151 | (1) |
|
9 Improving maths teaching cross-nationally |
|
|
152 | (11) |
|
|
152 | (1) |
|
What we have achieved thus far |
|
|
152 | (4) |
|
A cross-national voyage towards effective maths teaching |
|
|
153 | (1) |
|
Effective maths teaching formula --- we know it all along |
|
|
153 | (1) |
|
The discovery of TER evidence from the West in an Eastern context |
|
|
154 | (1) |
|
First TER study ever attempting the value-added approach across nations |
|
|
155 | (1) |
|
Advancing the TER field by applying effectiveness and improvement methods |
|
|
155 | (1) |
|
First TER study seeking to form an international dialogue on teaching |
|
|
155 | (1) |
|
Reunion of two communities of maths teaching research |
|
|
155 | (1) |
|
New paradigm, new methods, the holistic reality |
|
|
155 | (1) |
|
Methodological contribution: multifunction of videos in TER |
|
|
156 | (1) |
|
We could have achieved more |
|
|
156 | (2) |
|
A few regrets on this journey |
|
|
156 | (1) |
|
A lot to look forward to next |
|
|
157 | (1) |
|
Improve maths teaching cross-nationally, now! |
|
|
158 | (2) |
|
|
160 | (3) |
References |
|
163 | (12) |
Index |
|
175 | |