Drawing to a conclusion
Final Seminar Year 1
Skemp (1976)
Instrumental
understanding
Relational
understanding
2
A Model for the Primary Mathematics
Curriculum
•
•
•
•
•
Facts
Skills
Concepts
Processes
Attitudes
Shuard,H. (1986) Primary Mathematics Today and
Tomorrow , York:SCDC
3
Different types of talk (Mercer 1995):
• Disputational talk involves disagreements and individual rather
than collective decision-making. Exchanges are usually brief and
consist of assertions or counter-assertions
• Cumulative talk represents a building of ideas based on each
other’s suggestions aimed at providing a common consensus.
Exchanges in this type of talk are usually repetitions, confirmations
and elaborations
• Exploratory talk is characterised by critical but constructive
engagement with each other’s ideas. Challenges are justified and
alternatives suggested. Joint agreement in decision-making is the
end result.
Links between the four operations
Addition
Subtraction
Multiplication
Division
Mental Calculation
•
•
•
•
•
•
3.2 + 7.3 + 1.4 + 8.6 + 2.7 + 6.8
36 out of 60 as a percentage =
256 ÷ 16 =
78 ÷ 6 =
24 x 25 =
2.4 x 1 ¼ =
Links between operations
1. 74 x ? = 5 1 8
6.
3?4
+28?
?4 1
2. 4 2 + ? = 136
3. 7 4 - ? = 36
4. ? – 7 4 = 136
7. What is the question?
x
40
5. 168 ÷ ? = 6
?
?
8
1600
72
Carrot Cake Answers
Ingredients
Weight
Cost
Oil
270g
£0.29
Raisins
250g
£0.50
Walnuts
100g
£0.85
Brown Sugar
500g
£0.50
Carrots
750g
£0.60
Eggs
200g
£0.68
Flour
500g
£0.25
Electricity
Total weight = 2570g = 2.57kg
(assuming that no weight is lost during cooking)
£0.07
Total cost = £3.74