Table Method - A Logical way to do Primary School Maths

Reply to Table Method - A Logical way to do Primary School Maths on Tue, 20 Feb 2018 04:00:02 GMT

Khong Pek Mao — Tue, 20 Feb 2018 04:00:02 GMT

Lesson 9 - Multiplication

We have learnt how to multiply a Number.

https://s18.postimg.org/vru929xop/20180220_112451-1.jpg\">

Now we shall learn how to multiply a Unit.

https://s18.postimg.org/whd1enldl/20180220_112451-2.jpg\">

Easy? That's what we call a multiple unit.

Now your try.

https://s18.postimg.org/wu4fkw8t5/20180220_112758-1.jpg\">

Remember the Comparison?

https://s18.postimg.org/mk20lpgdl/20180220_113001-1.jpg\">

Now we are going to multiply a unit and number.
We shall call it Horse and Carriage.
We shall multiply the unit. (Horse)
Then we shall multiply the number. (Carriage)

https://s18.postimg.org/czidz6m09/20180220_114550-1.jpg\">

Let's try the following to understand this idea better.

https://s18.postimg.org/u1b80vg6h/20180220_114731-1.jpg\">

https://s18.postimg.org/wvedebxs9/20180220_114731-2.jpg\">

Finally, we are going to put all skills together.

https://s18.postimg.org/4va9uf4q1/20180220_115516-1.jpg\">

Try these sums.

https://s18.postimg.org/6od6i8xh5/20180220_115619-1.jpg\">

https://s18.postimg.org/ba9aqmdvd/20180220_115625-1.jpg\">

https://s18.postimg.org/oeev3aqhl/20180220_115631-1.jpg\">

We have come to the end of skill practice.
In the next lessons we shall learn how to form Equations and solve them.

Reply to Table Method - A Logical way to do Primary School Maths on Tue, 20 Feb 2018 02:35:04 GMT

Khong Pek Mao — Tue, 20 Feb 2018 02:35:04 GMT

Lesson 8 - Grouping of Units and numbers

In the last lesson, we have learnt about Grouping and Difference.

There two rules we need to remember.

First, a unit will only group to another unit, and a number will only group to another number.

Second, a unit will not group a number.

Let's look at the following example.

https://s18.postimg.org/qbbl8dp0p/20180220_102627-1.jpg\">

Now you try these exercise.

https://s18.postimg.org/yi3kzkhjt/20180220_102953-1.jpg\">

https://s18.postimg.org/o8160dwu1/20180220_103141-1.jpg\">

https://s18.postimg.org/i73h3dn3d/20180220_103239-1.jpg\">

Reply to Table Method - A Logical way to do Primary School Maths on Sun, 18 Feb 2018 16:01:14 GMT

Khong Pek Mao — Sun, 18 Feb 2018 16:01:14 GMT

Hi,

Thank you for following the posts.

Yes, the picture you saw in called Number Bond in school.
However, when I communicate with my pupils, they only know is this is one of the exercises in Primary 1 and 2.
After that they never see this picture or heard about it anymore.
Maybe you can find out from your pupils. Let them explain to you what they know about "Number Bond".

I used the term "Part Whole" is because this is the fundamental for arithmetic calculation.
Part + Part = Whole
Example,
1 + 1 = 2
1/3 + 1/3 = 2/3
Adam bought a book for $4 and get a change of $3. He has $7 in total.
Ben has $10, and his father gave him another $5. Ben has $15 now.
You may apply this concept in Before After problems.

When I used the word "Part Whole Concept" to explain to them in problem solving, they can be more understanding.
You may check with your pupils, what is the very first modal they learnt in Primary 1 or 2?

It is called "Part Whole Modal".

Thank you for your opinion. I shall upload more post in near future.

Reply to Table Method - A Logical way to do Primary School Maths on Sat, 17 Feb 2018 07:21:56 GMT

san20sg — Sat, 17 Feb 2018 07:21:56 GMT

Isn’t the part whole concept what you call number bonds?? Number bonds are very commonly taught in primary school mah why do you call it an alternative method?

Reply to Table Method - A Logical way to do Primary School Maths on Thu, 15 Feb 2018 04:08:31 GMT

Khong Pek Mao — Thu, 15 Feb 2018 04:08:31 GMT

Lesson 7 - Grouping and Difference

In this lesson, we shall learn the operation of Units and Numbers.

When 2 White Soldiers (Positive Numbers) come together, we group (add) them.

https://s18.postimg.org/5g4euxi2x/20180215_114111-1.jpg\">

https://s18.postimg.org/5g4euxxih/20180215_114111-2.jpg\">

When 2 Black Soldiers (Negative Numbers) come together, we group (add) them.

https://s18.postimg.org/hhzsp6ehl/20180215_114517-1.jpg\">

https://s18.postimg.org/hhzsp6tx5/20180215_114517-2.jpg\">

What if the Positive Numbers come together with Negative Numbers? We shall take the difference.

Then we shall see which type number is more.

If the Positive is more, the result is Positive.
Imagine 8 White Soldiers fight with 2 Black Soldiers, who will win? The Whites.

https://s18.postimg.org/f1xzb296x/20180215_115229-1.jpg\">

https://s18.postimg.org/xu9ueo0g9/20180215_115229-2.jpg\">

If the Negative is more, the result is Negative.
Imagine 5 Black Soldiers fight with 2 White Soldiers, who will win? The Blacks.

https://s18.postimg.org/muon34mwp/20180215_115645-1.jpg\">

https://s18.postimg.org/h6icc95pl/20180215_115645-2.jpg\">

As far as possible, when we put the two Numbers, we use the terms \"grouping\" and \"difference\" instead of using plus and minus.

This will minimise your confusion later.

Interesting? Let's try the following sums.

https://s18.postimg.org/oz904dwax/20180215_115909-1.jpg\">

https://s18.postimg.org/kdcvw1ihl/20180215_115917-1.jpg\">

https://s18.postimg.org/yjsmr9dx5/20180215_115925-1.jpg\">

https://s18.postimg.org/54myi8ty1/20180215_115941-1.jpg\">

To be continue.....

Reply to Table Method - A Logical way to do Primary School Maths on Thu, 15 Feb 2018 03:37:44 GMT

Khong Pek Mao — Thu, 15 Feb 2018 03:37:44 GMT

Lesson 6 - Positive and Negative Number

First we need to know Positive and Negative numbers. Don't be surprised. This will be taught only in Secondary 1 course, not in Primary school.

Let's look at the number line. (Don't look at your ruler. It tells you half the story.)

https://s18.postimg.org/enwnb71vd/20180215_112423-1.jpg\">

Numbers on the Right side of zero are called Positive numbers.
Numbers on the Left side of zero are called Negative numbers.

https://s18.postimg.org/fdffnnxax/20180215_112423-2.jpg\">

I will relate this to the movie Star Wars, the Black soldiers and the White soldiers.

Those Negative numbers have - sign in front of them are Black Soldiers.

Those Postive number have + sign in front of them are White Soldiers.

Those numbers without signs are White Soldiers.

Let's try to sort the Units and Numbers out.

https://s18.postimg.org/btthy12cp/20180215_113210-1.jpg\">

https://s18.postimg.org/5svt0yng9/20180215_113210-2.jpg\">

Reply to Table Method - A Logical way to do Primary School Maths on Thu, 15 Feb 2018 03:12:19 GMT

Khong Pek Mao — Thu, 15 Feb 2018 03:12:19 GMT

Lesson 5 - Unit and Number

Thank you for those who read this post.

Now we shall proceed to Unit and Number.
What are they?

https://s18.postimg.org/h3ygp5eu1/20180215_110556-1.jpg\">

A Number is what we know.
A Unit is what we do not know.

This is the same as modal drawing. You draw a bar for the unknown.

Let's try this exercise.

Fill in the unit and number in the following circle and square respectively.

https://s18.postimg.org/4ckaiq52x/20180215_110859-1.jpg\">

https://s18.postimg.org/jy1m2owgp/20180215_110859-2.jpg\">

Sound easy? I hope that those pupils in Primary 4 and above can understand.

Reply to Table Method - A Logical way to do Primary School Maths on Thu, 15 Feb 2018 02:56:22 GMT

Khong Pek Mao — Thu, 15 Feb 2018 02:56:22 GMT

Hi,

Thank you for reading this post.

This is the fundamental to this method.
Just like we have learnt Part-Whole modal is the fundamental of 1 + 1.

Give me some time, I will upload more techniques.

Thank you.

Khong Pek Mao

Reply to Table Method - A Logical way to do Primary School Maths on Fri, 09 Feb 2018 05:26:48 GMT

Zeit — Fri, 09 Feb 2018 05:26:48 GMT

Dear Mr Khong

No offence, but what’s so special about this Table Method? Just entering given data into Excel Table only to get the sum in each row? Should be for preschoolers I think? Doesn’t address more and less than at all.

Reply to Table Method - A Logical way to do Primary School Maths on Thu, 08 Feb 2018 04:37:23 GMT

Khong Pek Mao — Thu, 08 Feb 2018 04:37:23 GMT

Lesson 4 - Setting up the table

Now you have known how to read from the table.

The next step is to learn how to setup a table.

The first thing you need to know is Read your problem sum line by line.

My advise is not to read the whole question at one time. You will be confused by all the information and do not know where to start.

Let's look at one example. Read line by line.

https://s18.postimg.org/nj1ksjubt/20180208_123255-1.jpg\">

Now you try.

https://s18.postimg.org/sughdogix/20180208_123443-1.jpg\">

https://s18.postimg.org/i7mo89vix/20180208_123450-1.jpg\">

https://s18.postimg.org/jmo8x04bt/20180208_123456-1.jpg\">

Reply to Table Method - A Logical way to do Primary School Maths on Thu, 08 Feb 2018 04:16:40 GMT

Khong Pek Mao — Thu, 08 Feb 2018 04:16:40 GMT

Lesson 3 - The Parts

Now we will learn how to find the Parts.

https://s18.postimg.org/48pyvhdux/20180208_120721-1.jpg\">

Total - Part 1 = Part 2

Let's look at one example.

https://s18.postimg.org/3vykpqiux/20180208_121138-1.jpg\">

Now you try.

https://s18.postimg.org/lneshd2wp/20180208_121253-1.jpg\">

https://s18.postimg.org/ou9c10i7t/20180208_121300-1.jpg\">

https://s18.postimg.org/rbl38ecft/20180208_121309-1.jpg\">

https://s18.postimg.org/6rg9a5p1l/20180208_121315-1.jpg\">

Reply to Table Method - A Logical way to do Primary School Maths on Sat, 03 Feb 2018 04:26:59 GMT

Khong Pek Mao — Sat, 03 Feb 2018 04:26:59 GMT

Lesson 2

What is the Table Method?

Now let's look at a Table.

https://s18.postimg.org/5xz0gbmax/20180203_114507-1-1.jpg\">

Now we shall put the information into a table.

https://s18.postimg.org/ur8kgypvt/20180203_114507-1-2.jpg\">

What can we do?

1) We can add across the horizontal row.

2) We can add down the veritcal column.

3) We can add all the Totals to get the Grand Total

Let's practice.

https://s18.postimg.org/k4erboumx/20180203_122325-1.jpg\">

https://s18.postimg.org/ynlwd3g21/20180203_122332-1.jpg\">

https://s18.postimg.org/u1ps4qmt5/20180203_122340-1.jpg\">

https://s18.postimg.org/5xz0gfowp/20180203_122345-1.jpg\">

Reply to Table Method - A Logical way to do Primary School Maths on Sat, 03 Feb 2018 03:54:31 GMT

Khong Pek Mao — Sat, 03 Feb 2018 03:54:31 GMT

Lesson 1

The Part whole concept.

This is the very first concept all pupils will learn since Primary 1.

https://s18.postimg.org/io38tchdl/20180203_114449-1.jpg\">

Any number is made up of another 2 numbers.

The original number is called the Whole, while the other two are called Parts.

1) Part 1 + Part 2 = Whole

2) Part 1 = Whole - Part 2

In our journey, we will follow very closely to this concept.