TEACH Academy 3-4 May 2013

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TEACH Academy 3-4 May 2013

  1. 1. Bina Bangsa School, Jakartay e a p b a n h a r @ g m a i l . c o mw w w . b a n h a r . b l o g s p o t . c o mTeaching ofMeasurements
  2. 2. Course Content• Some Data on Student Achievement• Review – Problem-Solving Approach• Review – Learning Theories• Case Study – Area & Volume• Challenging Problem SolvingThe slides shown during the course are included here. Photographs of the boardare on TEACH Facebook.East Coast Primary School, Singapore
  3. 3. The focus on problem solving andthinking rather than on content is oneof the key features of mathematicsteaching and learning in variouseducation systems.East Coast Primary School, Singapore
  4. 4. Mathematics is “an excellent vehicle for thedevelopment and improvement of a person’sintellectual competence”.Ministry of Education, Singapore (2006)thinkingschoolslearningnation
  5. 5. Ministry of Education, Singapore (1991, 2000, 2006, 2012)
  6. 6. The twin goals of mathematics in the basiceducation levels, K-10 are Critical Thinking andProblem Solving.Mathematical problem solving is finding a wayaround a difficulty, around an obstacle, andfinding a solution to a problem that is unknown.Department of Education, The Philippines (2012)
  7. 7. Singapore Math allows averagelearners perform at a high level. Thefollowing are some data from someinternational research on mathachievement and attitude.East Coast Primary School, Singapore
  8. 8. Score 1960-1970s 1980s 1990s 2000s500 Japan Hong KongJapanKoreaHong KongJapanKoreaSingaporeHong KongJapanKoreaSingapore400 Thailand The PhilippinesSingaporeThailandMalaysiaThailandMalaysiaThailand300 IndonesiaThe PhilippinesIndonesiaThe PhilippinesReference: E. Hanusek, D. Jamison, E. Jamison & L. Woessmann (2008)All major international tests (literacy, science and mathematics) between 1964 and 2003 were placed on acommon scale. Selected countries shown in the table.
  9. 9. mathematics
  10. 10. gradefourmathematicsSingaporeSouth KoreaHong KongTaiwanJapanNorthern IrelandBelgiumFinlandEnglandRussiaInternational4339373430241012181347880807470595049494728949796939386898578826999100999999969998939790606605602591585562549545542542500advancedhighintermediatelowaverage
  11. 11. gradeeightmathematicsSouth KoreaSingaporeTaiwanHong KongJapanRussiaIsraelFinlandUnited StatesEnglandInternational474849342714124783777873716147403030321793928889877868736865469999969797958796928875613611609586570539516514509507500advancedhighintermediatelowaverage
  12. 12. gradeeightmathematicsSingaporeMalaysiaThailandIndonesiaInternational4822037812821792362615469965554375611440427386500advancedhighintermediatelowaverage
  13. 13. Case Study - AreaEast Coast Primary School, Singapore
  14. 14. Case Study - VolumeEast Coast Primary School, Singapore
  15. 15. 40 cm x 30 cm x 60 cm = 72 000 cm372 000 cm3 ÷ 5 x 3 = 43 200 cm343 200 cm3 ÷ 1800 cm2 = 24 cm
  16. 16. 40 cm x 30 cm x 60 cm = 72 000 cm372 000 cm3 ÷ 5 x 2 = 28 800 cm328 800 cm3 ÷ 1200 cm2 = 24 cm
  17. 17. Challenging Problems – Money andOther Measurement TopicsEast Coast Primary School, Singapore
  18. 18. Weiyang started a savings plan by putting 2coins in a money box every day. Each coin waseither a 20-cent or 50-cent coin. His motheralso puts in a $1 coin in the box every 7 days.The total value of the coins after 182 days was$133.90.(a) How many coins were there altogether?(b) How many of the coins were 50-cent coins?
  19. 19. Weiyang started a savings plan by putting 2coins in a money box every day. Each coin waseither a 20-cent or 50-cent coin. His motheralso puts in a $1 coin in the box every 7 days.The total value of the coins after 182 days was$133.90.(a) How many coins were there altogether?(b) How many of the coins were 50-cent coins?182  7 = 20 + 6 = 26182 x 2 + 26 = 364 + 26 = 390There were 390 coins altogether.
  20. 20. Weiyang started a savings plan by putting 2coins in a money box every day. Each coin waseither a 20-cent or 50-cent coin. His motheralso puts in a $1 coin in the box every 7 days.The total value of the coins after 182 days was$133.90.(a) How many coins were there altogether?(b) How many of the coins were 50-cent coins?$133.90 - $26 = $107.90There were  50-cent coins.50-cent 20-cent 

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