Do we need to use modelling to solve all math problem sums?

[CoffeeCat]

Usually questions for p1 & p2 are too simple, 1-2 steps and so many children, usually the better ones will question the need to draw models.


1 of the reason why for many type of psle questions it is better to use other methods (like ratio , branching or units or whatever they are called) is because the numbers used make drawing a model very cumbersome. However those methods are often derived based on an understanding of using the model to solve. They are not different methods, merely different ways of doing the same question based on same underlying principles.

If i recall correctly, when I was in p6, when I see a question I just draw a model. My view is that drawing a model is simply a way to consolidate all the data and make sense of the problem, see relationships /critical properties that allow me to solve the question via any other method.

[bebebub]

Many assessment books comes with solutions, complete with models. That was how I learn to teach my dd when she was in P1 n P2. she also finds model drawing troublesome, and often bargain her way out of drawing the models. Now at P3, I allow her to solve the straight forward problem sums without the models, but she will attempt to draw models for those that she faces difficulty. I always like that look on her face when she realize the solution after drawing the model :lol:


If your child is doing fine in maths, no need to search for tuition centre just for that. It is rather easy for parents to pick up model drawing by looking at the examples (at least for lower primary), n teach accordingly. There is also a Model Drawing Guide published by MOE, available in Popular. I think it's for P1 to P6. HTH.

[Mr David]

Hi.

Nope, it is not necessarily to use model drawings to solve all the maths problems. For instance, if the number involved is fairly large, it will be difficult and tedious for the student to draw so many units of boxes. In fact, the use of model drawings is only one of the few techniques that the child has to know. Other techniques include:
1. Use Before & After
2. Look for Patterns
3. Work Backwards
4. Use Guess & Check etc.
Personally, I have always preferred the use of ratios over modelling. As for speed-related questions, it is advisable for the student to "draw out’’ the question, since a picture speaks a thousand words.

[cimman]

Modelling is just one of a vast number of heuristics that one uses to solve maths problems.

There is the working backwards heuristic, the guess and check, the logical reasoning, the drawing heuristic, the identify the pattern heuristic, the number of legs type of problems, and so on.

I think the question is phrased wrongly. I think it should be " For questions that uses modelling heuristics, is it necessary to use the modelling approach ?"
I think it depends. With some questions, you can solve it easily with algebra, with others, the modelling approach is better. So it is best to be familiar with both approaches and know when to use either method.

As for algebra, don’t believe the educators when they say algebra is not required. All those problems with squares, circle symbols are thinly disguised algebra problems. True, they don’t require advanced algebra knowledge, but it’s still basic algebra.

[junling91]

post was deleted.

[sub_evo76]

Hi junling,


Sorry, not too sure if you know but do you think JE1 PSLE Maths or Conceptmath is better for lower primary?

Thanks!

[jtparent]

Hi

would like to find out which is better for p5 math. will it b concept math / jei math?

pls share

tia

[SmallMedLarge]

I use this book


The Singapore Model Method for Learning Mathematics was available from the Marshall Cavendish (http://smartt.wordpress.com/page/2/)

The book outlines the very basic types of model drawing - suitable for P1 and P2. Upper primary, the children can use these basic models to solve more difficult sums.

Bought the book from Popular.

[2DMommy]

SmallMedLarge:

I use this book


The Singapore Model Method for Learning Mathematics was available from the Marshall Cavendish (http://smartt.wordpress.com/page/2/)

The book outlines the very basic types of model drawing - suitable for P1 and P2. Upper primary, the children can use these basic models to solve more difficult sums.

Bought the book from Popular.

Hi Maple leaf

Recently, i just attended a P1 math workshop organised by my son's school. They also recommend this book to us. At P1/P2 level, problem sums can be solved without model drawing but as they progress to P3/P4 or even P5/P6, they will find model drawing useful. It's quite easy to pick up, you may want to try learning them and teach your kid first?

[SmallMedLarge]

I have a p4 and p1 child…


While I agree that many problem sums can be solved without model drawing, I would say that drawing models is a good habit … start from P1. Learn basics and then can practice.

Then when they go to upper primary - they already know how to make use of basic models to solve problem sums which are more complex.