MCI in Chile

Seminario Internacional de Educación Conocer el método Singapur para la enseñanza de matemáticas 4 January 2012 Dr Yeap Ban Har banhar@sg.marshallcavendish.com Marshall Cavendish Institute Singapore Presentation slides are available at www.banhar.blogspot.com

Seminario Internacional de Educación Conocer el método Singapur para la enseñanza de matemáticas 8:30 a 9:00 Acreditación 9:00 a 9:15 Inauguración: Presentación Dr. Ban Har 9:15 a 10:30 Plenaria 1: Teorías básicas en la enseñanza de matemáticas 10:45 Preguntas 11:00 a 11:30 Café 11:30 a 13:00 Continuación Plenaria 1 13:00 a 14:00 Almuerzo 14:00 a 16:00 Plenaria 2: El modelo de las barras en la enseñanza de resolución de problemas 16:00 Café 16:30 a 18:00 Continuación Plenaria 2 18:00 Cierre MAP101 & MAP111

What to teach inmathematics sothat it is usefulto students. How to teach it so that all children can learn it well.

whatis singapore mathematics

Singapore Mathematics: Focus on Thinking anexcellent vehicle for the development &improvement of a person’s intellectual competencies Ministry of Education Singapore 2006

See Page 4

110 g180 g 110 g Bella puts 180 g brown sugar on the dish. 290 g

on an identical dish 110 g 2 units = 180 g 1 unit = 90 g 180 g 110 g 3 units = 270 g Bella puts 270 g brown sugar on the dish.See also Page 70 290 g

There was a discussionabout the fact that thetotal weight isambiguous. In the casewhere we take the totalweight to be the total ofthe dish and Bella’ssugar, the solution is ashown in .

Fundamental of Singapore Method Singapore Mathematics focuses on the ability to visualize. For example, bar models areSingapore Mathematics used extensively.focuses on the ability tohandle information.Hence the emphasis onword problems.

Singapore Math Visualization

See Page 5

C H E R Y L

C H E R Y L1

C H E R Y L 2

C H E R Y L 3

C H E R Y L 4

C H E R Y L 5

C H E R Y L 6

C H E R Y L 7

C H E R Y L 8

C H E R Y L 9

C H E R Y L

C H E R Y L Which letter is 99?

D A V I D

Methods Method 1: Look at the ones digit. 99 has 9 as the ones digit. So it is at E. Method 2: Use division. One method divides 99 by 6 but this was found to be a coincidence. Later, it was found that dividing by 10 works. Another method subtracts 6 before dividing by 10.Method 3: Look at the first column – 1, 11, 21, 31, 41 – hence 101 is at C. 99 can then befound by working backwards.

Can the three methodsbe used for DAVID?Two new methods weregiven for DAVIDMethod 4See the pattern asDAVIDIVA. This is confirmby difference of 8between 1 and 9, 9 and17 etc.Method 5Notice 4n – 1 (1 less thanmultiple of 4) under theletter V.

Fundamental of Singapore MethodSingapore Mathematicsfocuses on the ability tosee patterns and makegeneralizations.

Singapore MathPatterns & Generalization

Singapore Mathematics: Focus on Problem SolvingSee Page 6

See Page 7

CPA Approach based onJerome Bruner wasused to learn division offractions – using paperfolding and subsequentdrawing. See Page 10

Singapore MathLearn New Concept Through Problem Solving

How many 4s are there in 12? 12 ÷ 4 = 3

Seminario Internacional de Educación Conocer el método Singapur para la enseñanza de matemáticas 4 January 2012 Dr Yeap Ban Har banhar@sg.marshallcavendish.com Marshall Cavendish Institute Singapore Presentation slides are available at www.banhar.blogspot.com

Fundamental of Singapore MethodSingapore Mathematicsfocuses on the ability tovisualize. Forexample, bar models areused extensively.

What is the Bar Model Method?

5 units = 60 1 units = 60 : 5 = 12 8 units = 8 x 12 = 80 + 16 = 96Number of women There are 96 people at the party.Number of menNumber of children Correction: In the Spanish course book, it should be “1/6 del resto son hombres.”

Bar Model Method In Early Grades

Correction: In the Spanish courseJack book, it should be “el doble de Kyla”.Kyla3 units = $3001 units = $300 : 3 = $100Kyla gets $100.

LarryMaria4 units = $3001 units = $300 : 4 = $753 units = 3 x $75 = $300 - $75 = $225Maria gets $225.

What if the larger number is 58?1st Number Then the smaller number is 58 – 12 = 46.2nd Number 12 What if the sum of the numbers is 58?58 + 12 = 70 58 – 12 = 46The larger number is 70. 46 : 2 = 23 Then the smaller number is 23 and the larger number is 23 + 12 = 35.

58 – 12 = 46Peter 46 : 2 = 23Natalia 12 Peter’s bag weighs 23 kg. Natalia’s bag weighs 23 kg + 12 kg = 35 kg.

Basic Models include Part-Whole Model and Comparison Model

Mathematics to develop visualization through bar models, number sensethrough mental calculation, and ability to manage information through word problems.

1st Day2nd Day 43rd Day 4 44th Day 4 4 4 2505th Day 4 4 4 46th Day 4 4 4 4 47th Day 4 4 4 4 4 48th Day 4 4 4 4 4 4 4

1+2+3+4+5+6+7+8+9=?1st Day There are 45 fours.2nd Day 4 45 x 4 = 180 10 units = 250 – 180 = 703rd Day 4 4 01 units = 70 : 10 = 74th Day 4 4 4 She made (7 + 9 x 4) = 43 paper cranes on the last day. 2505th Day 4 4 4 46th Day 4 4 4 4 47th Day 4 4 4 4 4 48th Day 4 4 4 4 4 4 4

SamTerry 72Vanessa

PabloWynn ?Zena 100

Advanced Techniques

270110

2 units = 160 g 1 units = 160 g : 2 = 80 g The container weighs 270 110 g – 80 g = 30 g Using algebra x+ 3y = 270 x + y = 110110 So, 2y = 160 y = 160 : 2 = 80 x + y = 110 So, x = 30 The container weighs 30 g.

x y y y 270x y 110

boys 34girls

boys 68girls

boys 88 – 68 = 20girls

boysgirls

boys 2 girls units = 14 34 1 girls unit = 7girls 3 girls units = 21 21 girls wear spectacles. 34 – 20

Homework

cookies cake 3,6 kg

cookies

cookiescookies

basketball soccer Answer: 60 basketball soccer Answer: 100

basketball soccer Answer: 84

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MCI in Chile

by Jimmy Keng on Jan 04, 2012

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MCI in Chile — Presentation Transcript