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www.banhar.blogspot.com Public Lessons in Chile, Japan and the Philippines
Nanakuli Elementary School, Hawaii, USA
LEAP Program Manila, The Philippines  
2 1
Participants’ Responses Multiply the first digit by 9 to get the final difference. Multiple the first digit by 10 then do a subtraction (e.g. 3 x 10 – 3). The tens digit in the difference is one less than the first digit and the second digit is obtained by subtracting the first digit from 10 (e.g. if the first digit is 7 then the tens digit is 6 and the ones digit is 10 – 7). Congratulations for getting three different ways. Thank you for those who came up to the stage to help with the demonstration.
Keys Grade School, Manila, The Philippines  
 
De Tweemaster, The Netherlands
Two methods by participants Count dots on the diagonals. The sum divided by 2 gives the area. It works for the rhombus! Count dots inside the polygon and add 1 to get the area. It works for all the cases we had! Wow! Thank you for these.
De Tweemaster, The Netherlands  
- = 3 10 – 7 = 3 11 – 8 = 3 12 – 9 = 3 - = 5 10 – 5 = 5 11 – 6 = 5 12 – 7 = 5   13 – 8 = 5  14 – 9 = 5
Three main points from this lecture: This lecture follows through from the first – we are teaching children, not mathematics. What are the main ideas to teach in mathematics? In this lecture, we saw (1) visualization (2) generalization (3) communication How do we teach it in engaging way? In this lecture we emphasized (1) learning through inquiry (2) learning by collaborating and interacting with peers (3) learning by doing. You are given three further examples to try out.
$100 -  $18 = $82 $82 ÷ 4 =  $20.50 3 3 3 3 3 3 Pathlight School, Singapore
x $100 -  $18 = $82 $82 ÷ 4 =  $20.50 x 3 x 3 3 x 3 3 3 On Thursday, she saved $29.50 4x + 18 = 100 4x = 100 – 18 = 82 x = 82 ÷ 4 =  20.50
Globe Academy, London, UK
             
𝑠=𝑛 −2×180°   𝑠=180𝑛°−360°  
Divide the square into 4 equal parts. St Edwards School, Florida, USA
Worchester State University, USA
Ateneo de Manila Grade School, The Philippines

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First New Teachers' Conference, Manila, 10 September 2011

  • 1. www.banhar.blogspot.com Public Lessons in Chile, Japan and the Philippines
  • 3. LEAP Program Manila, The Philippines  
  • 4. 2 1
  • 5.
  • 6. Participants’ Responses Multiply the first digit by 9 to get the final difference. Multiple the first digit by 10 then do a subtraction (e.g. 3 x 10 – 3). The tens digit in the difference is one less than the first digit and the second digit is obtained by subtracting the first digit from 10 (e.g. if the first digit is 7 then the tens digit is 6 and the ones digit is 10 – 7). Congratulations for getting three different ways. Thank you for those who came up to the stage to help with the demonstration.
  • 7. Keys Grade School, Manila, The Philippines  
  • 9. De Tweemaster, The Netherlands
  • 10. Two methods by participants Count dots on the diagonals. The sum divided by 2 gives the area. It works for the rhombus! Count dots inside the polygon and add 1 to get the area. It works for all the cases we had! Wow! Thank you for these.
  • 11.
  • 12.
  • 13.
  • 14. De Tweemaster, The Netherlands  
  • 15. - = 3 10 – 7 = 3 11 – 8 = 3 12 – 9 = 3 - = 5 10 – 5 = 5 11 – 6 = 5 12 – 7 = 5 13 – 8 = 5 14 – 9 = 5
  • 16. Three main points from this lecture: This lecture follows through from the first – we are teaching children, not mathematics. What are the main ideas to teach in mathematics? In this lecture, we saw (1) visualization (2) generalization (3) communication How do we teach it in engaging way? In this lecture we emphasized (1) learning through inquiry (2) learning by collaborating and interacting with peers (3) learning by doing. You are given three further examples to try out.
  • 17. $100 - $18 = $82 $82 ÷ 4 = $20.50 3 3 3 3 3 3 Pathlight School, Singapore
  • 18. x $100 - $18 = $82 $82 ÷ 4 = $20.50 x 3 x 3 3 x 3 3 3 On Thursday, she saved $29.50 4x + 18 = 100 4x = 100 – 18 = 82 x = 82 ÷ 4 = 20.50
  • 20.              
  • 22. Divide the square into 4 equal parts. St Edwards School, Florida, USA
  • 24. Ateneo de Manila Grade School, The Philippines