This is Paula's presentation for Maths for the pre-course day for the Primary PGCE at the University of Hull.

1. PGCE
Primary
Mathematics
2020/21
Pre-course day
January 2019

4. You will need a
calculator…or your phone!
First:
Enter a 3 digit numeral
onto your calculator where
all the digits are the same
e.g. 111
(please don’t use 000)
Then…
Divide it by the sum of its
digits. 111 for example
would be divided by 3
DON’T PRESS = YET
Finally…on the count of
three, lets all press =123

6. It’s all to do with pattern, one of the big ideas at
the heart of mathematics.
111 ÷ 3 is indeed 37. But 222 ÷ 6 is also 37, since
we are dividing twice as much as before (222 is
twice 111) by twice as much as before (6 is twice
3)!
Or, putting it another way:
111 ÷ 3 = 37, which can be written as (111 x 1) ÷ (3 x 1) = 37
222 ÷ 6 = 37, which can be written as (111 x 2) ÷ (3 x 2) = 37
333 ÷ 9 = 37, which can be written as (111 x 3) ÷ (3 x 3) = 37
444 ÷ 12 = 37, which can be written as (111 x 4) ÷ (3 x 4) = 37
555 ÷ 15 = 37, which can be written as (111 x 5) ÷ (3 x 5) = 37
666 ÷ 18 = 37, which can be written as (111 x 6) ÷ (3 x 6) = 37
777 ÷ 21 = 37, which can be written as (111 x 7) ÷ (3 x 7) = 37
888 ÷ 24 = 37, which can be written as (111 x 8) ÷ (3 x 8) = 37
999 ÷ 27 = 37, which can be written as (111 x 9) ÷ (3 x 9) = 37
Beautiful!

7. https://nrich.m
aths.org/14314 7

8. So …
What is the
main purpose
of the course?
January 2019

9. • To address your subject knowledge in
mathematics
• To equip you to teach mathematics to
pupils in early years and primary
settings

10. • Workshops – you will do a lot of
mathematics!
• Subject-knowledge development,
self-study and tests
• An assignment
• Placement tasks, including …
planning, teaching, assessing
and evaluating mathematics in
schools

11. Place Value – making connections
Adapted from Haylock and Cockburn (2008)
Symbols
Concrete Experiences
PicturesLanguage
Digit
Value
Place
Worth
Tens
Ones
Equals

12. Multiplying/dividing
by 10
• 12 x 10 =
• Just add a zero!
• 120
What is the
problem with this
rule?

13. • Complete an online test to assess
understanding
•https://study.sagepub.com/node/98029/

14. Start to collect resources …

15. Preparing for the course

18. https://youtu.be/y9-g9Gk0zhQ