Monday, February 29, 2016

The Mathematics in Card Games

Chinese New Year has just passed and I was reminded of the card games I used to play during Chinese New Year when I was young, and when it was still fashionable. I reckoned since then that being good with numbers does give one a better chance at winning some card games. 

Here's a simple card game that I have developed:

2 ~ 3 players

1. Twenty cards - comprising Ace to 10 of two different suites. 
2. Shuffle and place cards face down.
3. Start by flipping two cards - if they add up to ten, the player gets to keep the cards, if not, place the cards face down again. 
4. Each player takes turn to flip the cards till there are no more possibilities of making 10.
5. Player with the most number of cards win.

Variation
1. Increase to 30 cards
2. Players can flip 2 or 3 cards that add up to ten, twenty or thirty.

Mathematics in the Game

Retention ~ first and foremost, a player with better retention will have a better chance at winning the game. This condition will urge players to try harder at remembering the positions of cards face down. Fluency in recalling mathematical facts and performing skills is an important aspect of mathematical learning as children will need to remember symbols, rules, conversions, algorithms, formulas etc to do well in maths.

Number Bonds ~ players who know their number bonds well will play well. By watching how other players bond the numbers, a player who is weaker with number bonds will become stronger over time.

Mental Calculation ~ if a player does not know number bonds, this game will help players develop the ability to add mentally - always a plus in maths learning and our daily life.

When using games to help children learn maths, it is important to let them talk about the mathematical facts in the games. Mathematical communication is a good indicator of mathematical ability.

Sunday, February 28, 2016

Maths Trail

Maths Trail is an excellent way for students to appreciate mathematics in our environment. 
Here are the teachers in Brunei having fun in the maths trail that they designed for one another, applying what they had learnt during the Singapore Maths Courses.








Friday, February 26, 2016

Singapore Maths In Surabaya & Jakarta

Do you know that Indonesia is the 4th most populous country in the world? It has about 250 million people! So, the attendance at both my lectures in Surabaya and Jakarta was also large ~ at a whopping 300 in Surabaya and 600 in Jakarta! I really had a great time working with such a huge crowd. 




                                     





Thursday, February 25, 2016

Singapore Maths In The Philippines

I trained about 200 teachers in Davao on Singapore Maths. They are energetic teachers who tried hard at everything ~ from problem solving to presentation to debating on the mathematics! It was an absolutely exciting and invigorating session for me. Davao rocks!!








Wednesday, February 24, 2016

Model Drawing Would Save The Day

I saw a fb post by a father asking for help with his child's year 4 maths homework. It is an interesting question, requiring a degree of analysis that I would classify as problem solving.

The question:

Mr Lee had 280 red and white T-shirts for sale.
After selling 109 white T-shirts and 1/5 of the red T-shirts, he had an equal number of red and white T-shirts left.
How many red T-shirts did he have for sale at first?

To solve this problem, the child would probably start with this:

280 - 109 = 171

Then what's next?

A common error for this type of problem would be to divide 171 by 8, thus getting an answer of 21.375, which we would immediately know is wrong because we can't have a 0.375 T-shirt. 

In a problem solving situation like this, drawing a model would help the child analyse the problem and derive at the correct answer. The next step should be 171 divide by 9. The last step would be...?

Would you like to try drawing the model and find the answer for yourself?



Singapore Maths in Jamaica

Jamaica is a lovely country with enthusiastic teachers and Bob Marley!!

A solemn introduction!

~ Showing off Singapore Maths ~

Even though the seating arrangement is less than ideal, teachers in Jamaica work relentlessly on the various problems posed! 

Still working hard at it!


Self-organising group discussion.

A very sporting teacher who shared his solution.

Thanks for the pat on my shoulder! I was so happy I couldn't get my eyes opened!


See the resemblance? 

Port Royal

Read more about the conference here:

http://www.jamaicaobserver.com/news/Teaching-mathematics-the-Singapore-way

http://www.jnbs.com/maths-decline-points-to-teaching-challenges

Tuesday, February 23, 2016

Independent Thinking Starts From Young


Mark, a 3+ years old boy does his maths homework most nights at home with his mom. Last night he did the above exercise. 
He said, "I counted sixteen but there is no 16. Can I change 19 to 16?"
His mother was so proud of him she what's app'ed me the episode. I am very proud of him too ~ the true spirit of a Singaporean!

Here's Mark:

Training in Brunei

Teachers in Brunei had a taste of Singapore Maths through a series of workshops on various maths topics such as fractions, whole numbers, measurements etc, and skills-related workshops such as bar models and problem solving. 

Here's some snapshots of a workshop done in Oct 2015.



Two teachers shared their insights on an activity.

Teachers in Brunei are happy learners!

Designing a maths game together.

Discussing the rules of the game designed.