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If you get back to my original post, there is a possibility of contradiction. Once you are "lucky" to get a bunch of Hs in a row, it's hard to imagine that the chance is exactly 1/2 that you will get another H in your next toss because another rule suggests that the number of Hs and Ts will be...

I prompted myself to re-read the theory of probability that is in 1st year University mathematics. I see now that probability is completely linked to statistics. The concept itself is about using fraction to describe the chance in a best possible way. As the events are repeated indefinitely, the...

Re: Truong's tutoring, any comments? I suppose Caucasian like coaching places that look Caucasian. Put it this way, I am not Caucasian but I would not like any place that does not look clean, sparkling, friendly and professional looking. I always check the toilet and equipment to make sure if...

I have talked to some parents whose kids did not do too well in HSC and School certificate. They all seem to claim that tutoring is really about using tutoring colleges to force the kids to do homework. I wonder if this is rationalisation for failure or genuine feeling. They also claim that many...

Re: Truong's tutoring, any comments? Well, by the look of it he is a bit of an authoritative person or a kind dictator which is expected of a rich guy like him. If he does not allow room for challenge, then I don't like recommending him to any one. Teachers should allow room for challenge. One...

But this is precisely the problem. Teachers give you the rule that was copied from a book and you apply it to get a result. Then teachers and you pray to God that the rule is correct. It feels like you start from some where you don't know and end up in somewhere you don't know.

I will try to solve some of the important basic gaps I still have to see what my teachers have missed out. The basics of probability is very shaky! Say if you have 1 coin, you toss it 3 times. They say probability that you get 3 heads is 1/8. Is this valid? It's very hazy here. I would say...

I wonder if you guys at HS ever try to work out the rule for AND and OR when it comes to working out probability? For example, if you toss a coin, the probability of a head is 1/2. If you toss it again, the probability of a head is again 1/2. Therefore the possibility of tossing two heads in...

I think it's relative and hard to judge which way is easier depending on what you are used to. There are many ways to solve same problem. Some ways require knowledge that often get taught in later years. The way you presented actually requires many more steps in between such as addition of...

As the original question asked "How much faster can Anna cycle than she can walk?", your view indicates that the answer is 300% faster. That means 3 times faster. Which is the right answer in my opinion. So the author's question was kind of OK. I only suggested that changing the question to "How...

Re: Truong's tutoring, any comments? Glad to hear that. He must have got it right using best students as teacher and also focus on the basics. One of my nieces did not get high results from attending his classes. After she was moved one-on-one tutoring, she improved about 10% on her marks. But...

This is a more complex way of thinking. Even after you have done it, you wonder if your method is absolutely correct. I find it quite hazy to think that if you take two speeds, plus together to form the combined speed, then divide the Area by this combined speed to get the reduced combined time...

I went to orientation day. The teacher said that one kid already got moved to HS next door for enrichment in math. The problem is that this only encourage the kid to specialise too much in math at the expense of many other things. The kids should spend less time in math and try to excel in other...

I taught my kid math from grade 2. By grade 3, the kid already started to correct the poor teachers every time they made a silly mistake. I found that a good sense of fraction and ratio together forms a powerful platform for the kid to advance in math. Ratio ties things together in a...

No I am not American. I came from Asia long ago. I was doing my HSC in the 80s. I recently investigated math tests from US and Singapore just out of interest. I realise that US math tests are better as they are deeper and broader and seem to focus a bit more on interpretation of data. Generally...

Re: Truong's tutoring, any comments? I still have one niece going to Truong's. I was told that he's annoyed about parking violations, skipping home work and non-payment. However I heard he that he was easy on money issues if people talked to him. I heard he would eject any student who violate...

You are going in for a bit of fun but most kids going in for a shock. On the first day, you land in a lecture theatre taking 300-500 freshmen at the same time. The lecturer talks to all and there will be no conversation. Essentially the lecturer only run through main ideas and address very few...

Wrong! "How much more" means something else. How about you try this? --- Anna has $4 and John has $3. How much more money does Anna have than John? --- That asks for the difference only, 4 - 3 = 1 Now, look at this --- Anna has $4 and John has $3. How many times of money does Anna have compared...

Do you guys notice that there is a series of math books for primary schools called "Targeting mental math" for primary school? That one is tough series. It asks kids to try to perform mental calculations. It's tough at first but kids get used to imagining and improving the ability to toss...

You should research more on what algebra is. Even kids at year 1-2 have done algebra in a very informal way. It's a way of thinking that treats some entity (written or unwritten) as the unknown to be discovered. Then the entity is entered into a relationship. Resolution of the problem is by way...