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thinkingMath supplementary titles in the Conquer Problem Sums series employ a dual approach designed to help pupils excel in word problems in a systematic and structured way.

  • Conceptual learning: By using key constructs (groupings of problem sums with similar characteristics), pupils can effectively grow in their conceptual understanding about problem types.
  • Procedural learning: After understanding the problem type using key constructs, pupils can progress to apply a variety of effective methods or strategies to solve the problem.

Parents and educators are thus encouraged to use Conquer Problem Sums starting from P3 and follow through to P4, P5 and P6 (mainly revision) in order to reap maximum benefit.

ThinkingMath books

 

The brief explanation (in the following articles) of each key construct and its variation, if any, is accompanied by an illustration taken from a suitable section of one of the books, and reference is made to other related sections for further practice.

 

Click below to better understand how each key construct works:
 
 
 
 
 

Comments (44)add comment
aletheia lai
aletheia lai: Introduction to thinkingMath
very hard leh
1

February 27
Terence Lee
Terence Lee: Introduction to thinkingMath
hey, why don't you post any queries in the Discussion? Think there's a category called ThinkingMath: see here http://www.onsponge.com/share/...nc=listcat
2

February 27
Wani
Wani: Introduction to thinkingMath
So hard to find the answer.smilies/sad.gif
3

March 24
Anthony Thomas
Anthony Thomas: Introduction to thinkingMath
Hi Wani, as Terence suggested to an earlier comment, please post your query in the ThinkingMath forum. You can get quicker help there.
After logging in, click on this link: http://www.onsponge.com/share/...t&catid=35
4

March 24
chai yao wen
chai yao wen: Overview of Key Constructs in thinkingMath
onspongeee.com is cool ah?smilies/grin.gif
5

April 04
chai yao wen
chai yao wen: Overview of Key Constructs in thinkingMath
wa lao lei u so hard find question
6

April 04
chai yao wen
chai yao wen: ...
sry for saying all that things is my brother do wan so sry


7

April 04
Lim Jia Hui
Lim Jia Hui: Overview of Key Constructs in thinkingMath
hey guys.... im from singapore and i wanna know where are the online solutions are because i have brought back some tuition papers and the questions are the same as conquer. All i know is that my aunt is awesome in math and now she is stuck at a question.... so the creator of onSponge PLS HELP smilies/sad.gif


Love,
(Faith)Lim Jia Hui
8

September 06
Chris Rogers
Chris Rogers: Overview of Key Constructs in thinkingMath
Hi Jia Hui,

The answers to the questions can be found in the online solutions. Just click on the button on the right on the page that says online solutions. I will also sent you a link to your onsponge email.
9

September 06
Lee Jia Ying
Lee Jia Ying: Overview of Key Constructs in thinkingMath
The online solutions only shows all those hard questions, in the onsponge book, the solutions right? o.O
10

September 26
Chris Rogers
Chris Rogers: Overview of Key Constructs in thinkingMath
Yes, you are correct. There are a number of solutions found in the online solutions. The majority of the solutions are found in the back of the +hinkingMath books.
11

September 27
Sook Yi
Sook Yi: Overview of Key Constructs in thinkingMath
As long as we try,we will soon rich our goal!smilies/cheesy.gif
12

December 11
Chris Rogers
Chris Rogers: Overview of Key Constructs in thinkingMath
Yes you are correct. There are many sayings that support your comment such as "Try try again"; "Practise makes perfect"; "We learn from our mistakes"; etc. It all boils down to the fact that if we do not try we cannot move forward. When we try we make mistakes and learn from those mistakes. The real winners are those who try and learn from their mistakes. Those who never make mistakes and/or are afraid of making mistakes will eventually fall behind.
13

December 11
Vishnu
Vishnu: Overview of Key Constructs in thinkingMath
Conquer maths is a challenging series.It can help us in our Psle. wow!smilies/smiley.gif
14

January 16
Chris Rogers
Chris Rogers: Overview of Key Constructs in thinkingMath
I am delighted you find it useful. Remember to use the forum when you have difficulties with any of the strategies.
15

January 18
cherjinhuei
cherjinhuei: Overview of Key Constructs in thinkingMath
It is SO hard to find the answers!!!!!!smilies/angry.gifi am so frustrated!!!
16

February 21
Chris Rogers
Chris Rogers: Overview of Key Constructs in thinkingMath
Do you mean the online solutions? If so they are right at the very top of this page on the right called Online Solutions. If you still cannot see the link (looks like a mouse icon), you can click on this link

http://www.onsponge.com/online-solutions
17

February 21
Dilshan
Dilshan: Overview of Key Constructs in thinkingMath
some questions are really challenging..it's good to try.smilies/grin.gif

Dilshan-singapore (P3 level)
18

February 24
Lunar
Lunar: Overview of Key Constructs in thinkingMath
Yup i agree it help me in maths now
19

March 10
Lunar
Lunar: Overview of Key Constructs in thinkingMath
Thanks to +hinking in maths p5 my maths test paper overall passed with flying colours
20

March 12
Charlton Tan
Charlton Tan: Overview of Key Constructs in thinkingMath
Dah! My teacher gave me homework 6.3 Q5 and the online soloutions do not have it. I wonder where did it fly to...... LOL! Note I am P3 OK?
21

June 14
Chris Rogers
Chris Rogers: Overview of Key Constructs in thinkingMath
The solutions are in the back of the books - unless your teacher took them out. Either way try drawing a picture of of both containers with the different amounts of glasses and compare the total mass of each container. If you still have a problem, you can post your questions in the forum.
22

June 15
afzal
afzal: Overview of Key Constructs in thinkingMath
very hard hmmsmilies/cry.gif
23

July 27
alan
alan: Overview of Key Constructs in thinkingMath
We & the kids wated our youth and precious time of our life away, looking at the silly question, that has little use in real life situation.
24

July 27
Chris Rogers
Chris Rogers: Overview of Key Constructs in thinkingMath
I certainly agree that kids (with family) should spend more time developing sporting, cultural and other interests that well develop our minds and body. I believe MOE is taking steps towards this and I look forward to the day we have a mixed balance. Unfortunately, it will be too late for my daughter, P5, this year.

Looking back, we question how much of what we learnt was really practical in our everyday situations. I think this all depends on what we ultimately end up doing in our professional and personal lives. For example, percentage, speed, rate are all useful "skills" to have. I would say, ratio and fractions are too. In my mind the biggest question is, "When is the right time to learn each skill?" While I think a child's mind is capable of absorbing more (like a sponge), are those same children mature enough, with appropriate experience, to really benefit from the learning.

I compare this to a graduate who has done 5 years of working experience before taking his/her MBA vs those who take their MBA straight after obtaining their bachelor degree. In my opinion, those with the 5 years of work experience gain more from the MBA, find it easier and more enjoyable. Furthermore they contribute more thus increasing the value of the experience of all involved as well.

My two cents anyway ... smilies/smiley.gif
25

July 27
Saratha
Saratha: Overview of Key Constructs in thinkingMath
I like to do conquer math.smilies/grin.gif
26

September 26
Anonymous
Tan Si Ling Eunice: Overview of Key Constructs in thinkingMath
so hard leh... aiya~~~
i'm scared of what's gonna happen tomorrow. i'm sitting for the psle english. smilies/cry.gif
27

October 06
Anonymous
Tan Si Ling Eunice: ...
and i have the onSponge p5+p6 maths. CHALLENGING LEH
28

October 06
Chiang Kim Eng
Chiang Kim Eng: Overview of Key Constructs in thinkingMath
Where to find solution for Unit 1.1 Question 1 (Conquer P5)
29

December 14
engleong
engleong: Overview of Key Constructs in thinkingMath
smilies/cry.gifsmilies/cry.gif very hard
30

January 15
wangsong
wangsong: Overview of Key Constructs in thinkingMath
what a drag and i hate onsponge because onsponge is hard
31

January 29
maybelle
maybelle: Overview of Key Constructs in thinkingMath
Wow on sponge is differnt from other worksheets!;
32

April 12
Chris Rogers
Chris Rogers: Overview of Key Constructs in thinkingMath
You say it is different. How is it different?
33

April 12
Southri
Southri: Overview of Key Constructs in thinkingMath
what is the full solution for primary 6 thinkingMath@onSponge conquer problem sums,page 90,question 5?
34

April 29
Chris Rogers
Chris Rogers: Overview of Key Constructs in thinkingMath
You can find the full solutions in the pdf files here
http://www.onsponge.com/learn/online-solutions.html
35

April 29
Muhammad
Muhammad: Overview of Key Constructs in thinkingMath
Can you help me to find solutin of this question: Find the sum of the following number patterns. -1+2-3+4-5+6...........-1997+1998-1999+2000
36

June 03
Chris Rogers
Chris Rogers: Overview of Key Constructs in thinkingMath
Did you post the question in the forum?

http://www.onsponge.com/forum/35-thinkingmathonsponge.html
37

June 03
pearly
pearly: Overview of Key Constructs in thinkingMath
where can i find answers on the onsponge bk which is on the internet???smilies/cry.gif
38

June 15
Chris Rogers
Chris Rogers: Overview of Key Constructs in thinkingMath
Hi there,

Under the learn tab on the top menu ... or you can link here

http://www.onsponge.com/learn/online-solutions.html

make sure you are logged in smilies/smiley.gif
39

June 15
James Adams
James Adams: Overview of Key Constructs in thinkingMath
This OnSponge thinking math is good as it helps you train your skills and has more harder question that could be used in secondary.smilies/grin.gif
40

June 21
Priscilla
Priscilla: Overview of Key Constructs in thinkingMath
Gaah, they don't have the 7.2 Q8 & 9! Why is it that it is only certain questions' answers are there? Alamak..smilies/angry.gif


SO... HELP ME!!!!!


(I AM A P3)
41

September 18
Wendy Choong
Wendy Choong: Overview of Key Constructs in thinkingMath
September 19
Yong Shao Tian
Yong Shao Tian: Overview of Key Constructs in thinkingMath
smilies/cry.gifsmilies/kiss.gifhahahahahahaha
43

September 25
Yong Shao Tian
Yong Shao Tian: ...
smilies/wink.gifhahahaha
44

September 25

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