1. Shanghai Teaching Showcase 2015
London Thames Maths Hub
Shanghai Teaching Showcase 2015
Harris Academy Beckenham
Friday 20th November 2015
Morning Session
9:10—9:25 Arrival & refreshments
9:25—9:45 Introduction
Alice Lacey & Chris Whitehead
9:50—10:40 Year 7 lesson
Figures with Ms Huang
10:40—11:10 Table discussions
11:10-11:30 Break
11:30—12:00 Q&A
Ms Huang & Mr He
12:00-12:30 Lunch
Afternoon Session
12:30—12:40 Introduction
Alice Lacey & Chris Whitehead
12:40—13:30 Year 8 Lesson
Fractions with Mr He
13:30—13:40 Table discussions
13:40—14:00 Q&A
Ms Huang & Mr He
14:00—14:10 Plenary
Next steps…
14:10—Depart

2. Shanghai Teaching Showcase 2015
London Thames Maths Hub
Shanghai Teaching Showcase 2015
Shanghai
England
Ms Huang
(Bella)
Jincai Experimental
Primary School
Mr He
(Mike)
Yangjin-Juyuan
Experimental School
Ms Lacey
(Alice)
Harris Academy
South Norwood
Mr Whitehead
(Chris)
Harris Academy
Beckenham

3. Shanghai Teaching Showcase 2015
London Thames Maths Hub
Shanghai Teaching Showcase 2015
Why Shanghai?

4. Shanghai Teaching Showcase 2015
London Thames Maths Hub
Shanghai Teaching Showcase 2015
PISA 2012

5. Shanghai Teaching Showcase 2015
London Thames Maths Hub
Shanghai Teaching Showcase 2015
And what’s in the tap?
What’s the boat?
What’s the water?

6. Shanghai Teaching Showcase 2015
London Thames Maths Hub
Shanghai Teaching Showcase 2015
Lessons from Shanghai lessons
Slower
More
Shorter
No!
Less
Longer
Faster

7. Shanghai Teaching Showcase 2015
London Thames Maths Hub
Shanghai Teaching Showcase 2015
Londonshanghaimaths.wordpress.com

8. Shanghai Teaching Showcase 2015 The initial impact on our teaching
London Thames Maths Hub
Shanghai Teaching Showcase 2015
The initial impact on our teaching

9. Shanghai Teaching Showcase 2015
London Thames Maths Hub
Shanghai Teaching Showcase 2015
Observation 1
Year 7 - Geometry
Lesson 1 – Perpendicular lines
Lesson 2 – Drawing perpendicular lines
Lesson 3 – Composite figures
Today – Parallelograms
Ms Huang
(Bella)
Jincai Experimental
Primary School
Lesson 5 – Area of parallelograms
Lesson 6 – Trapezoid
Lesson 7 – Area of trapezoid

10. Shanghai Teaching Showcase 2015 Chanting to consolidate learning
London Thames Maths Hub
Shanghai Teaching Showcase 2015
Chanting to consolidate learning

11. Shanghai Teaching Showcase 2015
London Thames Maths Hub
Shanghai Teaching Showcase 2015
Taking the concrete to the abstract a b O
Algebraic
expression:
a⊥b A B

12. Shanghai Teaching Showcase 2015
London Thames Maths Hub
Shanghai Teaching Showcase 2015
Conceptual Variation – Concept vs. Non concept O A B C D A B C D O

13. Shanghai Teaching Showcase 2015
London Thames Maths Hub
Shanghai Teaching Showcase 2015
Conceptual Variation – Concept vs. Non concept A B E C F D M N P Q

14. Shanghai Teaching Showcase 2015
London Thames Maths Hub
Shanghai Teaching Showcase 2015
Procedural Variation
Multiple methods of solving a problem

15. Shanghai Teaching Showcase 2015
London Thames Maths Hub
Shanghai Teaching Showcase 2015
Examples from previous topics

16. Shanghai Teaching Showcase 2015
London Thames Maths Hub
Shanghai Teaching Showcase 2015
Taking the concrete to the abstract
18+8=26
8+18=26
8+18=18+8
Algebraic
expression:
a + b = b + a
The commutative law of addition

17. Shanghai Teaching Showcase 2015
London Thames Maths Hub
Shanghai Teaching Showcase 2015
Conceptual Variation
Fill in the blanks by using the commutative law of addition
256＋214=           ＋256
X+Y=          ＋X
△+☆=          ＋
十 367=367 ＋      

18. Shanghai Teaching Showcase 2015
London Thames Maths Hub
Shanghai Teaching Showcase 2015
Procedural Variation
Multiple examples of the problem
Solve by making the question simpler
1) 28＋45＋72     2) 62＋123＋38  3) 67+（151+33) =
=100+45
=145 = =
=223 = =
=251

19. Shanghai Teaching Showcase 2015 (intelligent practice)
London Thames Maths Hub
Shanghai Teaching Showcase 2015
Multiple applications of a method
(intelligent practice)
Miss Li bought gifts for her class. The class has 125 students and each present costs £16. How much will Miss Li pay in total?
125×16
=125×8×2
=1000×2
=2000

20. Shanghai Teaching Showcase 2015
London Thames Maths Hub
Shanghai Teaching Showcase 2015
Different forms of variation
Multiple examples of the problem
Multiple methods of solving a problem
Multiple applications of a method

21. Shanghai Teaching Showcase 2015
London Thames Maths Hub
Shanghai Teaching Showcase 2015
Observation – What to look out for
Ms Huang’s lesson plan
Lesson PPT slides – with space to annotate
Worksheet
Observation Form