SMARTTraining www.SingaporeMathTraining.com © 2008 - SMARTTraining Introduction to Singapore Math

Why Implement Singapore Math? Singapore students placed first of all participating countries in 2003, 1999, 1995 on the TIMMS… … both fourth and eighth grade students! © 2008 - SMARTTraining

Singapore students placed first of all participating countries in 2003, 1999, 1995 on the TIMMS…

What is the TIMSS? Benchmarking study of mathematics and science achievement carried out since 1995 by the International Association for the Evaluation of Educational Achievement. © 2008 - SMARTTraining

Benchmarking study of mathematics and science achievement carried out since 1995 by the International Association for the Evaluation of Educational Achievement.

What is the TIMSS? In 2003, 46 countries participated in TIMSS, at the fourth-grade level, the eighth-grade level, or both. 2003 results are the third comparison (1999, 1995 are the dates of the first and second studies). 2007 results will be released December 2008. © 2008 - SMARTTraining

In 2003, 46 countries participated in TIMSS, at the fourth-grade level, the eighth-grade level, or both.

2003 results are the third comparison (1999, 1995 are the dates of the first and second studies).

2007 results will be released December 2008.

Average mathematics scale scores of fourth-grade students, by country: 2003 SOURCE: International Association for the Evaluation of Educational Achievement (IEA), Trends in International Mathematics and Science Study (TIMSS), 2003. © 2008 - SMARTTraining Singapore 594 Hong Kong 575 Japan 565 Chinese Taipei 564 Belgium-Flemish 551 Netherlands 540 Latvia 536 Lithuania 534 Russian Federation 532 England 531 United States 518 Cyprus 510 Moldova, Republic of 504 International 495

SOURCE: International Association for the Evaluation of Educational Achievement (IEA),

Trends in International Mathematics and Science Study (TIMSS), 2003.

Average mathematics scale scores of eighth-grade students, by country: 2003 © 2008 - SMARTTraining Singapore 605 Korea, Republic of 589 Hong Kong 589 Chinese Taipei 585 Japan 570 Belgium-Flemish 537 Netherlands 536 Estonia 531 Hungary 529 Malaysia 508 United States 504 International 466

1. A sound curriculum 2. High expectations 3. Subject banding 4. Well-managed schools 5. Qualified & dedicated teachers © 2008 - SMARTTraining Five Factors to Singapore’s Success

1. A sound curriculum

2. High expectations

3. Subject banding

4. Well-managed schools

5. Qualified & dedicated teachers

Topics are introduced then used for challenging problems Singapore Math Philosophy Emphasis on Mental Math © 2008 - SMARTTraining 26 12 30 + 12 = 42 26 + 16 4

Topics are introduced then used for challenging problems

Emphasis on Mental Math

Word problems begin in 1 st grade. Instruction moves from the concrete to the pictorial to the abstract . Great for visual & English Language Learners. Mastery of basic math facts required! Singapore Math Philosophy © 2008 - SMARTTraining

Word problems begin in 1 st grade.

Instruction moves from the concrete to the pictorial to the abstract .

Great for visual & English Language Learners.

Mastery of basic math facts required!

Begin with the basics… 7 + 3 = © 2008 - SMARTTraining ? Concrete Pictorial Abstract

7 + 3 =

2 Types of Bar Models Part - Whole Model Used to find the whole given the parts or the parts given the whole. Comparison Bars Used to compare two objects to each other. © 2008 - SMARTTraining

Part - Whole Model

Used to find the whole given the parts or the parts given the whole.

Comparison Bars

Used to compare two objects to each other.

Part – Whole Models On Tuesday, Cole ran 6 miles. On Thursday, he ran 8 miles. How many miles did he run altogether? © 2008 - SMARTTraining 8 mi ? mi 6 mi

On Tuesday, Cole ran 6 miles. On Thursday, he ran 8 miles. How many miles did he run altogether?

Comparison Bar Models Laina is 13 years old. Her sister is 22 years old. Find the difference in age between them. © 2008 - SMARTTraining ? 22 13 Laina Sister

Laina is 13 years old. Her sister is 22 years old. Find the difference in age between them.

Ready to Try Some Word Problems? © 2008 - SMARTTraining

Ready to Try Some Word Problems?

In a class, 2/5 of the students wear glasses. If 16 students wear glasses, how many students are there altogether? (Primary Mathematics Standards Edition 3b) © 2008 - SMARTTraining

In a class, 2/5 of the students wear glasses. If 16 students wear glasses, how many students are there altogether?

(Primary Mathematics Standards Edition 3b)

John and Paul spent $45 altogether. John and Henry spent $65 altogether. If Henry spent 3 times as much as Paul, how much did John spend? (Primary Mathematics Standards Edition 5a) © 2008 - SMARTTraining

John and Paul spent $45 altogether. John and Henry spent $65 altogether. If Henry spent 3 times as much as Paul, how much did John spend?

(Primary Mathematics Standards Edition 5a)

Looking for the answers? Email: [email_address] © 2008 - SMARTTraining

Looking for the answers?

Email: [email_address]