What Can Papua New Guinea Curriculum Developers Learn From Singapore’s Maths Mastery Lessons

Researchers in the article (shown on the right) compared mathematics ‘teaching methods’ in the UK to the Singaporean method. Their finding revealed that ‘students taught using problem solving strategy learn faster than their counterparts – ‘making an extra month of progress in a calendar year’.  That’s impressive.

Another point worth reiterating is that student’s ability to do well in maths can be enhanced by tweaking it at certain time. 

The report highlighted that ‘even a small enhancement at age 10 yields long term economic benefits for individual and the country’.

Singapore’s maths mastery concentrates on problem-solving


If PNG students were to do well in mathematics, maths teachers have to look at ways to create resources targeted at developing student’s problem-solving skills, ideally students between the ages of 9 and 16 years. 

Take a look at Singapore’s mastery class. A good example has been indicated – using three wooden bars to find three consecutive numbers that add up to 42. Papua New Guinean (and English, US, NZ and Australian) teachers would solve this by trial and error or by using algebra.

Method one: By trial and error - choose 3 numbers at random. Start at 10, 11, 13 (=34); 11, 12, 13, (=36); 12, 13, 14 (=39) and 13, 14, 15 (=42)

Three numbers are 13, 14 and 15

Method 2: By using algebra - let the first number be x, second number x + 1 and third number x + 2

            x + x + 1 + x + 2 = 42
             3x + 3 = 42
             3x       = 39
                       x       = 13

Three numbers are 13, 14 and 15

Maths Mastery Lessons Singapore



Importance of Maths Mastery Lessons 

This is not about a complete shift in teaching styles. This is about enhancement – creating ‘power lesson’ effective enough to enrich students ability on a weekly or monthly basis.

The importance of helping students to learn faster and think for themselves is far superior to preparing students for examinations. There has to be a balance between building strong problem-solving skills and preparing students to achieve good grades. 

What Singaporean schools have done can also be done in Papua New Guinea. Giving students the best possible opportunity to improve their maths skills on a regular basis, and above all, prepare them for life.

Practical Mathematics: 4 Easy Skills To Aid Mental Calculations And Beat Non–calculator Exam Questions

Here are four mathematical skills you can use in any situation when shopping or dealing with everyday numbers. In fact, having these skills can make you a better maths student – also will help to add, subtract, multiply and divide accurately. 



1. Easy Adding



E.g. 


Skill: Separating numbers into parts, then add

If you can see parts like 20, 20 and 10 (add to 50) and the other 50 make an easy 100. 

Also, 7and 3 (=10) and 8 and 2 (=10) gives 20. By doing this you can get 120 (100 and 20) without having to use a calculator. 

2. Easy subtracting 


E.g. 

Skill: Ensure last digits end with the same number (353 and 33), then subtract in parts
The idea is that the same numbers result in zero, making calculation easier.  

3. Easy Multiplying 


E.g.


Skill: Separate on number (usually the smaller number) into parts, multiply each out, then add. 

3. Easy dividing 


E.g.

Skill: Identify a multiple of the divisor (24 is a multiple of 12 closest to 33), and simplify


Background

Many changes are happening in PNG's education system. Change in structure (in 2016) and change in the curriculum (2015, OBE to SBE) are two significant educational changes. The changes must be equally complimented by good learning content (syllabus).  

Methods above are examples of creating effective learning contents, especially when introducing mathematics in class. 

Traditional mathematics and practical mathematics are still grey areas in PNG mathematics syllabus. The examples I gave above are illustrations of practical mathematics – you can do a mental calculation using those skills when shopping or doing other everyday math. 

Traditional mathematics skills are those that you may require a pen and paper to work out the answers.  Our parents are very good at such working out. But, if we are to make a nation of quick thinkers, we’ve got to introduce practical mathematics for everyday use – not just to help in tests and exams. 

Take above as examples of how mathematics in the classroom can be streamlined to prepare students for life. 

Justice For PNG Children: Investigation Into K50 Million Stolen By Ghosts In The Education Department – Minister



The minister for education admitted education funds to a tune of K50 million went missing without trace during education leaders meeting in Lae recently. It is ominous though, a very important department has put K605 million (this year, 2015) in its pocket only to have realised K50 million has slipped out a hole.

Is education department on the back foot trying to find out how the hole was created or who created it? No. There is complete silence after education leaders meeting.

So, no news about any investigation would mean such theft is likely to continue? Surely the department has to look for ways to stop losing millions of kina to fraudsters and idiots who keep stealing from the children.

Obviously, people within education system and those outside of it have been able to intercept huge chunk of money easily. Whether they have collaborated at national or provincial levels can only be ascertain if an investigation is conducted.

Any baseless arguments (put forward by senior education officials) that ghost students or ghost teachers or ghost schools are to be blamed are baseless allegations. These allegations can be seen as smear campaigns to divert from catching the thieves, if the ministry of education (NEC included) are mum on this issue.

Papua New Guinea Teachers’ Association wanted the government to find out how the K50 million went missing. Opposition Leaders, Don Polye, clearly mentioned that an independent investigation into missing education funds must be carried out. Same sentiments are equally shared among education leaders as evident in recent media reports.

NEC, having sacked education secretary, must now investigate the missing funds. K50 million is a lot of money. There will be traces to follow to either recoup the money or put a stop to such wastage.

Education department should not make guesses about how funds marked for the children of Papua New Guinea have gone missing. There are no ghosts within the education system.  

What is important is justice for ‘our’ children. Therefore it is rightful to find out how the money went missing – and fix it – and punish those who stole from the poor children. This is the right thing to do.

PNG's Investigative Task Force Sweep | Its Work Is Very Much Alive - Revive it, Fund It

It is good to see Peter O'Neill's brain child, the ITFS, has achieved since its inception when he came to power in 2014.

Many, both PNG and internationally, see the demise of this corruption fighting body as 'a father killing his own son to protect his reputation'. Self preservation and good governance do not go together. Why cut off funding for ITFS when white collar criminals are convicted as a result of its work? Why starve it to death? This is criminal.

Perhaps, the important action PNG government can take now is to fund ITFS without politicking about another anti-corruption body. For goodness sake, revive ITFS.



Another ITFS SuccessEremas Wartoto's co-accused imprisoned.I have just checked and verified the penalty. The...
Posted by Sam Koim on Wednesday, 10 June 2015

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