NCTM2010 Annual Meeting & Exposition Session by Yeap Ban Har on Making Connections: Problems from...

33
problems from singapor e classrooms Dr Yeap Ban Har National Institute of Education Nanyang Technological University Singapore [email protected] Slides available from www.mathz4kidz.com MAKING CONNECTIONS

description

In this session, Yeap Ban Har introduced to the participants challenging problems, mostly teacher-created ones, taken from Singapore classrooms.

Transcript of NCTM2010 Annual Meeting & Exposition Session by Yeap Ban Har on Making Connections: Problems from...

Page 1: NCTM2010 Annual Meeting & Exposition Session by Yeap Ban Har on Making Connections: Problems from Singapore Classrooms

problemsfromsingapore

classroomsDr Yeap Ban HarNational Institute of EducationNanyang Technological University [email protected]

Slides available from www.mathz4kidz.com

MAKING CONNECTIONS

Page 2: NCTM2010 Annual Meeting & Exposition Session by Yeap Ban Har on Making Connections: Problems from Singapore Classrooms

Da Qiao Primary School, Singapore

Page 3: NCTM2010 Annual Meeting & Exposition Session by Yeap Ban Har on Making Connections: Problems from Singapore Classrooms

1 ÷ ¾ = ?

12 ÷ 4 = 3

Page 4: NCTM2010 Annual Meeting & Exposition Session by Yeap Ban Har on Making Connections: Problems from Singapore Classrooms

1 ÷ ¾ = ?

12 ÷ 4 = 3

1 ÷ ¾ =

3

11

2 ÷ ¾ =

3

112

3 ÷ ¾ =

3

113

n ÷ ¾ = 3

11n

Page 5: NCTM2010 Annual Meeting & Exposition Session by Yeap Ban Har on Making Connections: Problems from Singapore Classrooms
Page 6: NCTM2010 Annual Meeting & Exposition Session by Yeap Ban Har on Making Connections: Problems from Singapore Classrooms
Page 7: NCTM2010 Annual Meeting & Exposition Session by Yeap Ban Har on Making Connections: Problems from Singapore Classrooms

12 ÷ 4 = 3

3 ÷ ¾ = 4

makingconnections

Page 8: NCTM2010 Annual Meeting & Exposition Session by Yeap Ban Har on Making Connections: Problems from Singapore Classrooms

12 ÷ 4 = 3

Page 9: NCTM2010 Annual Meeting & Exposition Session by Yeap Ban Har on Making Connections: Problems from Singapore Classrooms
Page 10: NCTM2010 Annual Meeting & Exposition Session by Yeap Ban Har on Making Connections: Problems from Singapore Classrooms

Primary Mathematics Standards Edition Grade 6

Page 11: NCTM2010 Annual Meeting & Exposition Session by Yeap Ban Har on Making Connections: Problems from Singapore Classrooms
Page 12: NCTM2010 Annual Meeting & Exposition Session by Yeap Ban Har on Making Connections: Problems from Singapore Classrooms
Page 13: NCTM2010 Annual Meeting & Exposition Session by Yeap Ban Har on Making Connections: Problems from Singapore Classrooms
Page 14: NCTM2010 Annual Meeting & Exposition Session by Yeap Ban Har on Making Connections: Problems from Singapore Classrooms
Page 15: NCTM2010 Annual Meeting & Exposition Session by Yeap Ban Har on Making Connections: Problems from Singapore Classrooms
Page 16: NCTM2010 Annual Meeting & Exposition Session by Yeap Ban Har on Making Connections: Problems from Singapore Classrooms
Page 17: NCTM2010 Annual Meeting & Exposition Session by Yeap Ban Har on Making Connections: Problems from Singapore Classrooms

210

5

1

8

3

Page 18: NCTM2010 Annual Meeting & Exposition Session by Yeap Ban Har on Making Connections: Problems from Singapore Classrooms

210

5

1

8

3

21040

7

5

1

8

3

3040

1

96040

32

5

4 Mrs Hoon sold 960

cookies.

Page 19: NCTM2010 Annual Meeting & Exposition Session by Yeap Ban Har on Making Connections: Problems from Singapore Classrooms

Telok Kurau Primary School, Singapore

A lion weighs 135 kg. A cow weighs 87 kg more than the lion. An elephant weighs 139 more than the cow. How heavy is the elephant?

(Primary 2)

Page 20: NCTM2010 Annual Meeting & Exposition Session by Yeap Ban Har on Making Connections: Problems from Singapore Classrooms

135 kg 87 kg 139 kg

Page 21: NCTM2010 Annual Meeting & Exposition Session by Yeap Ban Har on Making Connections: Problems from Singapore Classrooms

Telok Kurau Primary School, Singapore

A lion weighs 135 kg. A cow weighs 87 kg more than the lion. An elephant weighs 139 more than the cow. How heavy is the elephant?

(Primary 2)

Page 22: NCTM2010 Annual Meeting & Exposition Session by Yeap Ban Har on Making Connections: Problems from Singapore Classrooms

Shop A

Shop B

After

Page 23: NCTM2010 Annual Meeting & Exposition Session by Yeap Ban Har on Making Connections: Problems from Singapore Classrooms

Shop A

Shop B

Before 156 kg

72kg

156 kg – 72 kg = 84 kg

3 units = 84 kg

1 unit = 84 kg ÷ 3 = 28 kg72 kg – 28 kg = 44 kg

Shop B sold 44 kg of rice.

Shop A sold 44 kg of rice.

Page 24: NCTM2010 Annual Meeting & Exposition Session by Yeap Ban Har on Making Connections: Problems from Singapore Classrooms

handbag

half

$1890

Page 25: NCTM2010 Annual Meeting & Exposition Session by Yeap Ban Har on Making Connections: Problems from Singapore Classrooms

handbag

three-fourths

$1890

Page 26: NCTM2010 Annual Meeting & Exposition Session by Yeap Ban Har on Making Connections: Problems from Singapore Classrooms

handbag

three-eighths

$1890

Page 27: NCTM2010 Annual Meeting & Exposition Session by Yeap Ban Har on Making Connections: Problems from Singapore Classrooms

handbag

28

16

14

8

7

4

12 units = $1890

1 unit = $1890 ÷ 12 = $

$1890

$1200 $690

$600 $90

$60 $30

1 unit = $1890 ÷ 12 = $157.50

35 units = $157.50 x 35 = $

Her salary is $5512.50 .

Page 28: NCTM2010 Annual Meeting & Exposition Session by Yeap Ban Har on Making Connections: Problems from Singapore Classrooms

24

apples

pears192 + 24

8 units = 192 + 24 = 216

There were 5 x 27 apples at first.

There were 3 x 27 – 24 pears at first.

1 unit = 27

There were 78 more apples than pears at first.

Page 29: NCTM2010 Annual Meeting & Exposition Session by Yeap Ban Har on Making Connections: Problems from Singapore Classrooms
Page 30: NCTM2010 Annual Meeting & Exposition Session by Yeap Ban Har on Making Connections: Problems from Singapore Classrooms
Page 31: NCTM2010 Annual Meeting & Exposition Session by Yeap Ban Har on Making Connections: Problems from Singapore Classrooms

women

men 12

45

5 parts

2 parts

Page 32: NCTM2010 Annual Meeting & Exposition Session by Yeap Ban Har on Making Connections: Problems from Singapore Classrooms

women

menwomen men

50 10

55 11

60 12

… …

100 20

150 30

Page 33: NCTM2010 Annual Meeting & Exposition Session by Yeap Ban Har on Making Connections: Problems from Singapore Classrooms

problemsfromsingapore

classroomsDr Yeap Ban HarNational Institute of EducationNanyang Technological University [email protected]

Slides available from www.mathz4kidz.com

MAKING CONNECTIONS