Posted in A. Math, Educational Advice

Improvement in a student’s math result …

Daniel, one of A. Math tutees, showed me his class test result yesterday: 34/40. The test was on Indices and Surds, Wow, excellent, I said to him. Daniel is from the N(A) stream, and usually fails his Math tests. That he could obtain 34/40 and top his class in just a few weeks of tuition was phenomenal. So I started reflecting on what went right, because there are many students, even those from top schools, who do not make such a giant leap in such a short amount of time.

So what was the major factor contributing to Daniel’s significant improvement? Well, it’s not some secret special technique. In fact, it’s a well-known technique that some students just don’t want to use – ask many, many questions, even “silly” ones, about the same topic until one is satisfied that understanding has been achieved. Daniel even questions me when he doesn’t understand the steps I show him, whereas many students simply copy or write down my solution. Daniel sometimes takes a while to process the information I give to him; he will pause and ponder, and then sheepishly asks a basic question. He will even ask questions periodically to affirm that his steps are correct.

Students need to make meaning out of what they hear or see; it’s not enough to just listen to teachers or observe what they do in class. And you make meaning when you have a dissonance in your mind; some pieces of the jigsaw puzzle don’t fit and you have the courage to ask and then ponder again.

Regarding asking questions, I have one advice though: you must attempt to answer your own questions first, for the struggle to answer your own questions will make it easier for you to understand another person’s explanation.  : )

Good luck!

Rgds,

Ilyasa

Posted in H1 Economics, H2 Economics

Good Economics article to read, for those doing H2 or H1 Econs

If you are a H2 or H1 Econs student, please take time to think through the following economics article:

http://sg.news.yahoo.com/blogs/singaporescene/land-people-fit-singapore-economy-025020996.html

It’s important that you keep abreast of the economic challenges facing Singapore, our unique situation, and hence our micro and macro economic policies.

As an ex-Econs teacher and currently tutor, I dare say that our H2 and H1 Economics exams are the hardest in the world for 18 year olds. For microeconomics, you are expected to think like a business owner or CEO, and for macroeconomics, you are expected to think like a minister. Our Economics exam papers assume that you know and understand every basic economic concept, and you are straightaway expected to apply your Econs knowledge to analyse and answer case studies and essay questions.

Good luck.

Rgds,

Ilyasa

 


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Posted in Pure Physics, Sec Science

Sec 4 Physics Reflections 03/02/13 – Current Electricity

Today, I asked them a few questions to improve their conceptual understanding of electricity:

(1) What is the difference between e.m.f and potential difference?

(2) What is the difference between resistance and resistivity?

(3) How do you derive the unit for resistivity?

(4) Why does the resistance of a metallic conductor increase when its temperature increases?

(5) Why is the ammeter connected in series to a resistor but the voltmeter is connected in parallel?

Some points to note:

(1) Resistance is NOT the gradient of the V-I graph.

(2) The I-V and V-I graphs of a conductor may be different and you’ll need to understand why and explain the difference.

Rgds,

Ilyasa, M.Ed, PGDE, ex-MOE Math and Physics teacher (hp: 97860411)

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Posted in A. Math, A. Math Tips

Sec 4 A. Math Reflections 02/02/13 – Higher Derivative

Today I taught them the Higher Derivatives, using displacement, velocity and acceleration as real-life examples. I chose not to introduce the 2nd derivative as a means to test whether a turning point is a maximum or minimum, as I preferred to do that when teaching the application of differentiation in tangents and normals at a point in a curve.

Points to note:

(1) students must not write the 2nd derivative as dy^2/dx^2;

(2) d^2y/dx^2 is not the same as (dy/dx)^2;

(3)  d^2y/dx^2 is the same as f”(x) or f^2(x);

(4) there may be product rule, quotient rule or chain rule involved when finding the higher derivatives.

Rgds,

Ilyasa, M.Ed, PGDE, ex-MOE Math and Physics teacher (hp: 97860411)

 

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Posted in A-Level, H1 Economics, H2 Economics

JC 2/1 H2/H1 A-Level Economics Tuition for 2013

 

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ORIGINAL POST (OUTDATED):

 

(1) JC2 H2 Economics: (Investment amt: $320 per month)

Sat 7.00 pm to 9.00 pm

(2) JC2 H1 Economics: (Investment amt: $320 per month)

Sun 7.00 pm to 9.00 pm;

(3) JC1 H2 Economics: (Investment amt: $320 per month)

(upon request)

(4) JC1 H1 Economics: (Investment amt: $320 per month)

(upon request)

 

DETAILS:

Location: Blk 627 Bukit Batok Central #07-640

Tutor(s): Mr Jay Lim, Master of International Management, ex-banker, experienced full-time tutor.

Content: A-Level micro and macro economics, directed readings, case studies, examples from real life and current affairs.

Focus: How to score in economics essays, must-have skills for handling economics case studies, metacognition in economics, thinking the economists’ way.

Class Size: 2-6 students

To register, kindly call, or send an sms to 97860411, indicating the Student Name, Subject and Level.

Related links:

(1) Economics Revision Package

(2) General Paper Resource & Practice Package

(3) General Paper Tuition

(4) JC H2/H1 Math Tuition

Posted in Pure Chemistry

Sec 4 Chemistry Tuition By Experienced Tutors

For our latest timetable, click here =>  secbutton

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ORIGINAL POST (OUTDATED):

Sec 4   Pure Chemistry:   (Investment amt: $180 per mth).

Mon 7.45 pm to 9.15 pm;

Sat 10.45 am to 12.15 pm;

Sun 12.30 pm to 2.00 pm;

Sun 2.15pm to 3.45 pm;

Tutor(s):

Mr Anthony H.: SMU undergrad who scored A for A-level Chemistry

Mr Tan J. D. : NTU undergrad, alumnus of Hwa Chong Institution, who scored A in A-level Chemistry

DETAILS:

Location: Blk 627 Bukit Batok Central #07-640

Average Class Size: 2-5 students

To register, kindly call or send an sms to 97860411, indicating the Student Name, the Subject and Level.

Posted in A. Math, A. Math Tips

Sec 4 A. Math Reflections sat1415 19/01/2013 – Differentiation

This was our third lesson in Jan. We did the Product Rule for Differentiation after spending the last two sessions doing the Basic Rule and the Power Rule (a subset of the chain rule).

I told students to differentiate directly, in line, and not use the “let u = f(x) and v = g(x)” which is longer, more confusing and can cause more careless mistakes.

Now they are able to perform dy/dx = f(x)g'(x) + g(x)f'(x) quite quickly without introducing new variables such u and v which can be quite clumsy. Most of the time, finding dy/dx is part of a larger question, so it is unwise to make this part too long.

I ended the lesson with an intro to the Quotient Rule. Again, I don’t recommend the use of u’s and v’s and instead differentiate directly in line. We’ll be practising the Quotient Rule in the next session.

Again I tell students that Calculus is almost one-third of the A. Math syllabus, so if you want to get A1 you have to master Differentiation and Integration, which, in my opinion (and students hate it every time I say it), are amongst the easiest of topics in A.Math.

However, Integration at the A-Levels (H2 Math) can be quite difficult. But we’ll cross the bridge when we come to it. : )

Ilyasa, M.Ed, PGDE, ex-MOE teacher

(hp: 97860411)

 

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Posted in Pri Math, Pri Science

P6 (PSLE) Math & Science Tuition at Concept Learning

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@ BLK 644, BUKIT BATOK CENTRAL, #01-68. S(650644).

CALL 65694897 OR SMS 98530744 OR 97860411.

For more details, kindly visit www.conceptlearning.sg, or call 97860411.

PSLE Math & Science

Posted in For sale, H2 Economics

Effective JC H2 / H1 Economics Model Essays

On Monday, a Mrs Lee came to collect the GP Resource and Practice Package that she ordered. I didn’t realise she had come to my place before, until she mentioned that her daughter’s econs essay marks had improved significantly (from ard 5 to ard 19 marks now)after reading and studying the Economics Essay Revision Package that she had bought from me earlier. If you dont believe this, you can call Mrs Lee directly if she agrees to be ‘interviewed’. However, her daughter’s case study marks didn’t improve so I’m looking into it to understand why.

Well, I wasn’t surprised at all, as the same set of essays had been used by my Math student, Emily, to get an A at her Econs a year earlier (you can verify it with her if she agrees; she’s now studying in the US after getting four As in her H2 subjects). For those of you econs students who are too busy to attend econs tuition, and you can self-study, I would encourage you to purchase this Econs revision package that I had compiled. The essays may not be perfect (you may even add to them), but are far better than those written by average Econs students.

Alternatively, if you live near Bukti Batok, you can come to my place for econs tuition, which will be taught by Mr Jay Lim, an ex-banker in his 50’s, who has wide experience in practising finance and economics, and supported by myself and the materials that I have compiled. Although not an ex-JC teacher, Mr Lim is US-trained, and very comfortable with case studies and very familiar with the world of economics, finance, international trade and banking. He is also currently tutoring an IB student in Business & Management.

For enquiries, just give me a call or sms, to 97860411.

Rgds,

Ilyasa, M.Ed, PGDE, ex-sch teacher

Posted in Pure Physics

Reflections on Sec 4 Physics class (9/12/12) …

Just like in the Sec 4 A Math class ytdy, we revised Sec 3 Physics instead, but I will move on to Electricity in Jan 2013. The two students in this class are from Nan Hua and NJC, in case you want to know, although I find it strange that parents ask me which schs the students come from (I’ll write another article soon – ‘The kinds of parents who call me’). C’mon, if you are weak in Physics, you are weak in Physics, even if you are a graduate from Harvard. Apparently, parents are concerned about the syllabi. However, let me tell you something – even two IP schs or two non-IP schs can be at different topics in Physics at the same time. As for level of difficulty, Sec 4 Physics is Sec 4 Physics; no IP sch is going to teach Quantum Physics at Sec 4 ok, except, maybe, NUS High. In fact, some O-level sch prelim papers are harder than those of the IP schools.

We covered Kinematics and Moments ytdy, and as usual, students have misconceptions about free-falling objects, free body diagrams, kinematics graphs and what constitutes ‘perpendicular distance’ and ‘line of action of the force’ in the calculation of moments. Since they were new students, I also listed the 6 ways that examiners make physics questions difficult, and these have nothing to do with physics! (I will post an article abt this some time soon). Every year, I find that students THINK that they know Kinematics and Dynamics, but they can’t answer some conceptual questions I ask. Even some JC students have actually not understood their Sec 3 Physics!

Ilyasa

Related post:

(1) Sec 4 Physics tuition.