NCTM Annual Meeting & Exposition (Session 1) San Diego 23 April 2010

problems
from
singapore
classrooms
Dr Yeap Ban Har
National Institute of Education
Nanyang Technological University
Singapore
banhar.yeap@nie.edu.sg
www.singaporemath.com

Primary Mathematics Standards Edition (Grade 6)
problems
to teach new
concepts or skills

Area > 2r2

Area < 4r2

2r2 < Area < 4r2

2r2 < r2 < 4r2

problems
for students
to apply what they learn

1 h = 60 min
60 ÷ 4 = 15
15 x 3 = 45
¾ x 60 = 45
She practiced for 45 minutes.
Primary Mathematics Standards Edition

Mathematical Variation
16

16
30

Keys Grade School, Manila, The Philippines

problems
to teach new
concepts or skills
Keys Grade School, Manila, The Philippines

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

Primary Mathematics Standards Edition Grade 6

problems
to teach new
concepts or skills

How to make sure the butterfly cannot flyHow do you get a butterfly?First there is the egg which hatches into a caterpillar. The caterpillar eats and grows. At the right time, it makes a cocoon out of its own body. While in the cocoon, the caterpillar changes into a butterfly.When the butterfly is ready, it starts to break through the cocoon. First a hole appears. Then the butterfly struggles to come out through the hole. This can take a few hours.If you try to "help" the butterfly by cutting the cocoon, the butterfly will come out easily but it will never fly. Your "help" has destroyed the butterfly.The butterfly can fly because it has to struggle to come out. The pushing forces lots of enzymes from the body to the wing tips. This strengthens the muscles, and reduces the body weight. In this way, the butterfly will be able to fly the moment it comes out of the cocoon. Otherwise it will simply fall to the ground, crawl around with a swollen body and shrunken wings, and soon die.If the butterfly is not left to struggle to come out of the cocoon, it will never fly.We can learn an important lesson from the butterfly.If we do not have struggles and challenges in our work, we will never grow strong and capable. If life has no difficulties, we will become weak and helpless.Lim Siong GuanHead, Civil Service

Mathematics is an excellent vehicle for the development and improvement of a person’s intellectual competence ..
Ministry of Education 2006
DaQiao Primary School

problems
from
singapore
classrooms
Dr Yeap Ban Har
National Institute of Education
Nanyang Technological University
Singapore
banhar.yeap@nie.edu.sg
Another session by Yeap Ban Har will be presented today at
Manchester Hyatt Douglas Pavilion A
3:00 – 4:30
www.singaporemath.com

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NCTM Annual Meeting & Exposition (Session 1) San Diego 23 April 2010

by Jimmy Keng on Apr 23, 2010

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NCTM Annual Meeting & Exposition (Session 1) San Diego 23 April 2010 — Presentation Transcript