Primer Encuentro de Formacion Docente
-
Upload
jimmy-keng -
Category
Education
-
view
2.242 -
download
2
description
Transcript of Primer Encuentro de Formacion Docente
![Page 2: Primer Encuentro de Formacion Docente](https://reader036.fdocuments.net/reader036/viewer/2022062707/5583ec34d8b42a2a4d8b4d1f/html5/thumbnails/2.jpg)
MAP 101 Fundamentals in Singapore Mathematics Curriculum
Dr Yeap Ban Har [email protected]
Marshall Cavendish Institute Singapore
![Page 3: Primer Encuentro de Formacion Docente](https://reader036.fdocuments.net/reader036/viewer/2022062707/5583ec34d8b42a2a4d8b4d1f/html5/thumbnails/3.jpg)
Singapore Mathematics: Focus on Thinking
excellentvehicleanforthe
development&improvement of
a person’s intellectual
competenciesMinistry of Education Singapore 2006
![Page 4: Primer Encuentro de Formacion Docente](https://reader036.fdocuments.net/reader036/viewer/2022062707/5583ec34d8b42a2a4d8b4d1f/html5/thumbnails/4.jpg)
![Page 5: Primer Encuentro de Formacion Docente](https://reader036.fdocuments.net/reader036/viewer/2022062707/5583ec34d8b42a2a4d8b4d1f/html5/thumbnails/5.jpg)
110 g
290 g
110 g180 g
Bella puts 180 g brown sugar on the dish.
![Page 6: Primer Encuentro de Formacion Docente](https://reader036.fdocuments.net/reader036/viewer/2022062707/5583ec34d8b42a2a4d8b4d1f/html5/thumbnails/6.jpg)
110 g
290 g
110 g180 g
2 units = 180 g
1 unit = 90 g
3 units = 270 g
Bella puts 270 g brown sugar on the dish.
on an identical dish
![Page 7: Primer Encuentro de Formacion Docente](https://reader036.fdocuments.net/reader036/viewer/2022062707/5583ec34d8b42a2a4d8b4d1f/html5/thumbnails/7.jpg)
Singapore Mathematics focuses on the ability to visualize. For example, bar models are used extensively.
![Page 8: Primer Encuentro de Formacion Docente](https://reader036.fdocuments.net/reader036/viewer/2022062707/5583ec34d8b42a2a4d8b4d1f/html5/thumbnails/8.jpg)
Singapore MathVisualization
![Page 9: Primer Encuentro de Formacion Docente](https://reader036.fdocuments.net/reader036/viewer/2022062707/5583ec34d8b42a2a4d8b4d1f/html5/thumbnails/9.jpg)
![Page 10: Primer Encuentro de Formacion Docente](https://reader036.fdocuments.net/reader036/viewer/2022062707/5583ec34d8b42a2a4d8b4d1f/html5/thumbnails/10.jpg)
Method 1The positions of 11, 22, 33 are at C, H, E respectively. Positions of multiples of 11 can be located.
Method 2The positions of numbers ending with 1 and 6 can be located ta either ends. Thus 91 or 96 can be located. Subsequently, 99 can be located.
Method 3Numbers ending with 9 are at E. So, 99 is at E too.
Method 4The position for 99 can be found by writing out all the numbers but this is not efficient method.
![Page 11: Primer Encuentro de Formacion Docente](https://reader036.fdocuments.net/reader036/viewer/2022062707/5583ec34d8b42a2a4d8b4d1f/html5/thumbnails/11.jpg)
Method 1The letters under A and I are even. So 99 cannot be there.
Method 2The positions of numbers ending with 9 form a diagonal pattern.
Method 3The numbers under first D increases by 8. Thus 17 + 80 = 97 is under first D. The position for 99 can be worked out.
Method 4The positions of multiples of 8 I is definitely under A. 8 x 12 = 96 is under A. The position of 99 can be worked out.
Method 5Numbers under V is 1 less than multiples of 4. So, 2011 (1 less than 2012) is under V. 99 is less than 100.
![Page 12: Primer Encuentro de Formacion Docente](https://reader036.fdocuments.net/reader036/viewer/2022062707/5583ec34d8b42a2a4d8b4d1f/html5/thumbnails/12.jpg)
Method 2The positions of numbers ending with 9 form a diagonal pattern.
In December 2010, another group of teachers in Chile who did this course also came up with a similar method.
![Page 13: Primer Encuentro de Formacion Docente](https://reader036.fdocuments.net/reader036/viewer/2022062707/5583ec34d8b42a2a4d8b4d1f/html5/thumbnails/13.jpg)
Another MethodIn a course done in December 2010 with another group of Chilean teachers, there was a method that involves division. For Cheryl it was 99 : 10. For David, it was 99 : 8. Are you able to figure out that method?
![Page 14: Primer Encuentro de Formacion Docente](https://reader036.fdocuments.net/reader036/viewer/2022062707/5583ec34d8b42a2a4d8b4d1f/html5/thumbnails/14.jpg)
Singapore MathPatterns & Generalization
![Page 15: Primer Encuentro de Formacion Docente](https://reader036.fdocuments.net/reader036/viewer/2022062707/5583ec34d8b42a2a4d8b4d1f/html5/thumbnails/15.jpg)
Singapore Mathematics: Focus on Problem Solving
![Page 16: Primer Encuentro de Formacion Docente](https://reader036.fdocuments.net/reader036/viewer/2022062707/5583ec34d8b42a2a4d8b4d1f/html5/thumbnails/16.jpg)
![Page 17: Primer Encuentro de Formacion Docente](https://reader036.fdocuments.net/reader036/viewer/2022062707/5583ec34d8b42a2a4d8b4d1f/html5/thumbnails/17.jpg)
![Page 18: Primer Encuentro de Formacion Docente](https://reader036.fdocuments.net/reader036/viewer/2022062707/5583ec34d8b42a2a4d8b4d1f/html5/thumbnails/18.jpg)
![Page 19: Primer Encuentro de Formacion Docente](https://reader036.fdocuments.net/reader036/viewer/2022062707/5583ec34d8b42a2a4d8b4d1f/html5/thumbnails/19.jpg)
CPA Approach based on Jerome Bruner was used to learn division of fractions – using paper folding and subsequent drawing.
![Page 20: Primer Encuentro de Formacion Docente](https://reader036.fdocuments.net/reader036/viewer/2022062707/5583ec34d8b42a2a4d8b4d1f/html5/thumbnails/20.jpg)
![Page 21: Primer Encuentro de Formacion Docente](https://reader036.fdocuments.net/reader036/viewer/2022062707/5583ec34d8b42a2a4d8b4d1f/html5/thumbnails/21.jpg)
Singapore MathLearn New Concept Through
Problem Solving
![Page 22: Primer Encuentro de Formacion Docente](https://reader036.fdocuments.net/reader036/viewer/2022062707/5583ec34d8b42a2a4d8b4d1f/html5/thumbnails/22.jpg)
![Page 23: Primer Encuentro de Formacion Docente](https://reader036.fdocuments.net/reader036/viewer/2022062707/5583ec34d8b42a2a4d8b4d1f/html5/thumbnails/23.jpg)
![Page 24: Primer Encuentro de Formacion Docente](https://reader036.fdocuments.net/reader036/viewer/2022062707/5583ec34d8b42a2a4d8b4d1f/html5/thumbnails/24.jpg)
![Page 25: Primer Encuentro de Formacion Docente](https://reader036.fdocuments.net/reader036/viewer/2022062707/5583ec34d8b42a2a4d8b4d1f/html5/thumbnails/25.jpg)
Singapore MathDrill-and-Practice Through
Problem Solving
![Page 26: Primer Encuentro de Formacion Docente](https://reader036.fdocuments.net/reader036/viewer/2022062707/5583ec34d8b42a2a4d8b4d1f/html5/thumbnails/26.jpg)
![Page 27: Primer Encuentro de Formacion Docente](https://reader036.fdocuments.net/reader036/viewer/2022062707/5583ec34d8b42a2a4d8b4d1f/html5/thumbnails/27.jpg)
Singapore MathApplying Knowledge in
Problem Solving
![Page 28: Primer Encuentro de Formacion Docente](https://reader036.fdocuments.net/reader036/viewer/2022062707/5583ec34d8b42a2a4d8b4d1f/html5/thumbnails/28.jpg)
![Page 29: Primer Encuentro de Formacion Docente](https://reader036.fdocuments.net/reader036/viewer/2022062707/5583ec34d8b42a2a4d8b4d1f/html5/thumbnails/29.jpg)
Learning Theories
![Page 30: Primer Encuentro de Formacion Docente](https://reader036.fdocuments.net/reader036/viewer/2022062707/5583ec34d8b42a2a4d8b4d1f/html5/thumbnails/30.jpg)
![Page 31: Primer Encuentro de Formacion Docente](https://reader036.fdocuments.net/reader036/viewer/2022062707/5583ec34d8b42a2a4d8b4d1f/html5/thumbnails/31.jpg)
![Page 32: Primer Encuentro de Formacion Docente](https://reader036.fdocuments.net/reader036/viewer/2022062707/5583ec34d8b42a2a4d8b4d1f/html5/thumbnails/32.jpg)
![Page 33: Primer Encuentro de Formacion Docente](https://reader036.fdocuments.net/reader036/viewer/2022062707/5583ec34d8b42a2a4d8b4d1f/html5/thumbnails/33.jpg)
![Page 34: Primer Encuentro de Formacion Docente](https://reader036.fdocuments.net/reader036/viewer/2022062707/5583ec34d8b42a2a4d8b4d1f/html5/thumbnails/34.jpg)
![Page 35: Primer Encuentro de Formacion Docente](https://reader036.fdocuments.net/reader036/viewer/2022062707/5583ec34d8b42a2a4d8b4d1f/html5/thumbnails/35.jpg)
How many 4s are there in 12? 12 ÷ 4 = 3
![Page 36: Primer Encuentro de Formacion Docente](https://reader036.fdocuments.net/reader036/viewer/2022062707/5583ec34d8b42a2a4d8b4d1f/html5/thumbnails/36.jpg)
![Page 37: Primer Encuentro de Formacion Docente](https://reader036.fdocuments.net/reader036/viewer/2022062707/5583ec34d8b42a2a4d8b4d1f/html5/thumbnails/37.jpg)
![Page 38: Primer Encuentro de Formacion Docente](https://reader036.fdocuments.net/reader036/viewer/2022062707/5583ec34d8b42a2a4d8b4d1f/html5/thumbnails/38.jpg)
![Page 39: Primer Encuentro de Formacion Docente](https://reader036.fdocuments.net/reader036/viewer/2022062707/5583ec34d8b42a2a4d8b4d1f/html5/thumbnails/39.jpg)
![Page 40: Primer Encuentro de Formacion Docente](https://reader036.fdocuments.net/reader036/viewer/2022062707/5583ec34d8b42a2a4d8b4d1f/html5/thumbnails/40.jpg)
![Page 41: Primer Encuentro de Formacion Docente](https://reader036.fdocuments.net/reader036/viewer/2022062707/5583ec34d8b42a2a4d8b4d1f/html5/thumbnails/41.jpg)
![Page 42: Primer Encuentro de Formacion Docente](https://reader036.fdocuments.net/reader036/viewer/2022062707/5583ec34d8b42a2a4d8b4d1f/html5/thumbnails/42.jpg)