About the Authors |
|
ix | |
Acknowledgements |
|
x | |
Publisher's Acknowledgements |
|
xi | |
New to this Edition |
|
xii | |
How to Use this Book |
|
xiii | |
|
|
1 | (18) |
|
Your early days as a trainee teacher |
|
|
2 | (1) |
|
|
3 | (1) |
|
|
4 | (2) |
|
|
6 | (4) |
|
Why should mathematics be taught? |
|
|
10 | (1) |
|
|
11 | (2) |
|
Evidence from the research |
|
|
13 | (6) |
|
2 Fundamentals of Teaching Mathematics |
|
|
19 | (26) |
|
|
20 | (1) |
|
|
21 | (1) |
|
Spiritual, moral, social and cultural education |
|
|
21 | (3) |
|
The development of the National Curriculum in mathematics |
|
|
24 | (3) |
|
The structure of the National Curriculum |
|
|
27 | (1) |
|
Progression in mathematics |
|
|
28 | (4) |
|
Proof in the school curriculum |
|
|
32 | (2) |
|
|
34 | (3) |
|
|
37 | (2) |
|
Evidence from the research |
|
|
39 | (6) |
|
3 Planning to Teach a Mathematics Lesson |
|
|
45 | (30) |
|
|
46 | (2) |
|
|
48 | (6) |
|
|
54 | (3) |
|
|
57 | (8) |
|
|
65 | (2) |
|
|
67 | (1) |
|
|
68 | (2) |
|
Evidence from the research |
|
|
70 | (5) |
|
4 The Elements of a Mathematics Lesson |
|
|
75 | (18) |
|
|
77 | (2) |
|
The main teaching activity |
|
|
79 | (4) |
|
|
83 | (5) |
|
Evidence from the research |
|
|
88 | (5) |
|
|
93 | (26) |
|
|
94 | (1) |
|
|
94 | (2) |
|
|
96 | (1) |
|
|
96 | (1) |
|
Effective teaching and learning |
|
|
97 | (1) |
|
Pupils' active involvement |
|
|
98 | (1) |
|
|
99 | (1) |
|
|
100 | (1) |
|
Deep learning and mastery |
|
|
101 | (3) |
|
|
104 | (3) |
|
|
107 | (2) |
|
|
109 | (1) |
|
|
110 | (1) |
|
Evidence from the research |
|
|
111 | (8) |
|
|
119 | (26) |
|
The purposes of assessment |
|
|
120 | (2) |
|
|
122 | (4) |
|
Involving pupils in assessment |
|
|
126 | (3) |
|
|
129 | (1) |
|
|
130 | (3) |
|
|
133 | (1) |
|
|
134 | (1) |
|
|
135 | (3) |
|
Evidence from the research |
|
|
138 | (7) |
|
|
145 | (26) |
|
|
146 | (1) |
|
|
147 | (1) |
|
|
147 | (2) |
|
|
149 | (1) |
|
|
150 | (2) |
|
Special educational needs |
|
|
152 | (2) |
|
|
154 | (1) |
|
Language in mathematics education |
|
|
155 | (4) |
|
Teaching pupils for whom English is an additional language |
|
|
159 | (3) |
|
Evidence from the research |
|
|
162 | (9) |
|
8 Teaching Different Topics |
|
|
171 | (26) |
|
|
172 | (1) |
|
|
172 | (1) |
|
|
173 | (8) |
|
Ratio, proportion and rates of change |
|
|
181 | (1) |
|
|
181 | (5) |
|
|
186 | (4) |
|
|
190 | (1) |
|
|
191 | (1) |
|
Evidence from the research |
|
|
192 | (5) |
|
9 ICT in Mathematics Teaching |
|
|
197 | (20) |
|
|
198 | (1) |
|
|
199 | (1) |
|
|
200 | (3) |
|
Use as a presentational tool |
|
|
203 | (1) |
|
Use of the interactive board |
|
|
204 | (4) |
|
|
208 | (2) |
|
Evidence from the research |
|
|
210 | (7) |
|
10 Continuing Professional Development |
|
|
217 | (22) |
|
|
218 | (7) |
|
Evaluating lessons later in your career |
|
|
225 | (1) |
|
|
226 | (3) |
|
|
229 | (1) |
|
Professional development within the school/department |
|
|
230 | (3) |
|
Professional associations |
|
|
233 | (1) |
|
|
234 | (2) |
|
|
236 | (3) |
Index |
|
239 | |