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E-grāmata: Teaching Mathematics in the Secondary School

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(Secondary mathematics teacher, Liverpool), (formerly course leader for PGCE mathematics at Edge Hill University)
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This fully updated third edition looks at the fundamentals of mathematics teaching, how to plan lessons and assess learning, and how to promote an inclusive approach in the classroom.

Key new features include: 
  • Updated content reflecting: the 2014 National Curriculum in England, the Teachers' Standards and revised requirements for GCSE and A level mathematics
  • Updated 'Evidence from research' features, highlighting developments in the field
  • An expanded section on mathematical misconceptions
  • New coverage on teaching for mastery.


"This is a comprehensive guide covering everything about learning to teach maths. Suitable for anyone considering teaching as a profession, those already in training and new teachers, it provides excellent coverage of the theoretical and practical aspects of teaching maths in an accessible style." - Emma McCrea, ITE Lecturer and author of Making Every Maths Lesson Count 

Recenzijas

Teaching Mathematics in the Secondary School is a comprehensive guide covering everything about learning to teach maths. Suitable for anyone considering teaching as a profession, those already in training and new teachers, it provides excellent coverage of the theoretical and practical aspects of teaching maths in an accessible style. -- Emma Mccrea

About the Authors ix
Acknowledgements x
Publisher's Acknowledgements xi
New to this Edition xii
How to Use this Book xiii
1 Teaching Mathematics
1(18)
Your early days as a trainee teacher
2(1)
Professionalism
3(1)
Motivations
4(2)
What is mathematics?
6(4)
Why should mathematics be taught?
10(1)
Numeracy and mathematics
11(2)
Evidence from the research
13(6)
2 Fundamentals of Teaching Mathematics
19(26)
School policies
20(1)
Departmental policies
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)
Proof and justification
34(3)
Proof and fallacy
37(2)
Evidence from the research
39(6)
3 Planning to Teach a Mathematics Lesson
45(30)
Long-term planning
46(2)
Medium-term planning
48(6)
Short-term planning
54(3)
Planning mathematically
57(8)
Issues in planning
65(2)
Using resources
67(1)
Homework
68(2)
Evidence from the research
70(5)
4 The Elements of a Mathematics Lesson
75(18)
An introductory activity
77(2)
The main teaching activity
79(4)
Summing up
83(5)
Evidence from the research
88(5)
5 Learning Mathematics
93(26)
Early ideas
94(1)
Constructivism
94(2)
Social constructivism
96(1)
The role of the teacher
96(1)
Effective teaching and learning
97(1)
Pupils' active involvement
98(1)
Working in pairs
99(1)
Group work
100(1)
Deep learning and mastery
101(3)
Misconceptions
104(3)
Cognitive conflict
107(2)
Metacognition
109(1)
Mindsets
110(1)
Evidence from the research
111(8)
6 Assessment
119(26)
The purposes of assessment
120(2)
The nature of assessment
122(4)
Involving pupils in assessment
126(3)
Use of data
129(1)
Questioning
130(3)
Record-keeping
133(1)
Writing reports
134(1)
National testing
135(3)
Evidence from the research
138(7)
7 Inclusive Teaching
145(26)
Inclusion
146(1)
Culture
147(1)
Gender
147(2)
Ethnicity
149(1)
Differentiation
150(2)
Special educational needs
152(2)
Very able pupils
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)
Number
172(1)
Mental methods
172(1)
Written methods
173(8)
Ratio, proportion and rates of change
181(1)
Algebra
181(5)
Geometry and measures
186(4)
Probability
190(1)
Statistics
191(1)
Evidence from the research
192(5)
9 ICT in Mathematics Teaching
197(20)
Background
198(1)
Pedagogical issues
199(1)
Styles of using ICT
200(3)
Use as a presentational tool
203(1)
Use of the interactive board
204(4)
Internet resources
208(2)
Evidence from the research
210(7)
10 Continuing Professional Development
217(22)
Evaluating your lessons
218(7)
Evaluating lessons later in your career
225(1)
Ofsted inspections
226(3)
The induction year
229(1)
Professional development within the school/department
230(3)
Professional associations
233(1)
Master's level credits
234(2)
Conclusion
236(3)
Index 239
Paul Chambers was educated at Cambridge and Nottingham Universities. Subsequently, he worked in three different schools before spending many years recruiting and training teachers of mathematics at one of the largest providers of teacher education in the country. He has worked as external examiner for two universities. He has direct experience of several different programmes of initial teacher education, including full-time and flexible PGCEs and a three-year BSc with Qualified Teacher Status. He is fully conversant with the demands of other routes into teaching, such as School Direct and Teach First programmes. Previous publications include several articles in mathematics magazines for teachers and joint authorship of teachers packs for AS and A level mathematics. He was one of Her Majestys Inspectors for nine years.



Robert Timlin studied mathematics and theoretical physics then undertook further studies leading to the award of a PhD. Rob qualified as a teacher after a PGCE where he studied with co-author Paul Chambers. Rob has taught in several schools in the North West of England and in London. He has been both a successful Head of Department and Assistant Headteacher. He has also worked as an educational consultant, advising local authorities and other public and private bodies on the teaching of mathematics. He has taught on a number of higher education courses, including the establishment of a successful PGCE Mathematics course at Liverpool John Moores University, and the role of Principal Lecturer in Mathematics Education at Manchester Metropolitan University. He has taught on undergraduate teaching courses and on mathematics degree courses as well as on Masters degrees in educational practice.