Pearl City Hawaii 9 August 2011

Professional Development for
Singapore Math (Upper Grades)
Day 2 Session 1
Open Lesson
Visualization & Generalization

Emphasis on Visualization & Generalization
Draw a polygon with a total of 4 dots on the sides.
Other than visualization, the ability to see patterns and to make generalization is another core intellectual competency.

Nanakuli Elementary School, Hawaii

Day 2 Session 2
Focus on
Visualization

Focus on Thinking: Visualization
The area of the trapezoid.
In Singapore Math, visualization is one of the core thinking skills.

110g
In Singapore Math, bar model method is a key strategy and it emphasizes visualization.

110g
290g

110g
?
?
290g

290 g – 110 g = 180 g
180 g ÷ 2 = 90 g
3 x 90 g = 270 g
Bella puts 270 g of sugar on the dish.
110g
?
?
290g

Day 2 Session 3
Focus on
Generalization

Focus on Thinking: Generalization
2
3
4
5
6
1
10
9
8
7
11
12
13
14
15
16
20
19
18
17
21
22
23
24
25
26
30
29
28
27
31
32
33
34
35
36
In Singapore Math, patterning and generalization is an core intellectual competency.

Focus on Thinking: Generalization
2
3
4
5
1
8
7
6
9
10
11
12
13
16
15
14
17
18
19
20
21
24
23
22
25
26
27
28
29
In Singapore Math, patterning and generalization is an core intellectual competency.

6 is shared equally between 2.
6 ÷ 2 = 3
In 6, how many 2s are there?
6 ÷ 2 = 3

1÷12=2

2÷12=2  2

3÷12=3  2

4÷12=4  2

𝑛÷12=𝑛  2

1÷34=113

2÷34=2  113

3÷34=3  113

Skemp
Understanding in mathematics
relational
(conceptual)
instrumental
(procedural)
conventional
Teaching for conceptual understanding is given emphasis in Singapore Math.
Primary Mathematics Standards Edition Grade 6

Day 2 Session 4
Focus on
Number Sense

There were several ways the value of m was established
First, last and middle of the numbers used
If there are more odd numbers in the list then m are odd
Contributions from course participants

The value of s was established in different ways
First + last + middle of the numbers used to get the middle s
Three times the middle number to get the middle s
The middle three consecutive numbers which is essentially the same as three times the middle number to get the middle s
The first + second + last of the numbers used to get the smallest s
For 72, 73, 74, 75 and 76, we can use the values of s for 2, 3, 4, 5, 6 – just add 210.
Contributions from course participants

http://www.banhar.blogspot.com	454
http://banhar.blogspot.com	219
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Pearl City Hawaii 9 August 2011

by Jimmy Keng on Aug 09, 2011

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Pearl City Hawaii 9 August 2011 — Presentation Transcript