I have actually been teaching mathematics in Hazelwood Park for about 10 years already. I really love mentor, both for the joy of sharing maths with trainees and for the ability to take another look at old content as well as improve my very own comprehension. I am confident in my ability to educate a range of basic courses. I think I have actually been pretty helpful as an educator, that is confirmed by my favorable student opinions in addition to a large number of unsolicited praises I received from trainees.

Mentor Ideology

According to my opinion, the two primary factors of mathematics education and learning are conceptual understanding and development of functional problem-solving abilities. Neither of them can be the sole priority in an effective mathematics training course. My aim as a teacher is to strike the best equilibrium in between both.

I believe solid conceptual understanding is utterly important for success in a basic maths course. A lot of the most beautiful concepts in mathematics are simple at their core or are constructed on earlier beliefs in straightforward ways. Among the goals of my mentor is to reveal this simplicity for my trainees, in order to grow their conceptual understanding and minimize the frightening aspect of maths. A fundamental issue is that one the appeal of maths is commonly at odds with its strictness. For a mathematician, the ultimate realising of a mathematical result is generally supplied by a mathematical validation. But students usually do not sense like mathematicians, and therefore are not always set to cope with this type of aspects. My work is to filter these concepts down to their essence and describe them in as easy way as feasible.

Extremely often, a well-drawn image or a quick translation of mathematical terminology into layman's terms is one of the most effective method to report a mathematical thought.

Discovering as a way of learning

In a normal initial maths course, there are a range of abilities which trainees are actually anticipated to discover.

This is my viewpoint that trainees typically find out maths most deeply through sample. For this reason after delivering any kind of unfamiliar concepts, most of my lesson time is usually used for solving lots of examples. I meticulously choose my examples to have unlimited variety so that the trainees can distinguish the points which prevail to each and every from the functions that are particular to a particular case. At developing new mathematical techniques, I usually provide the topic as though we, as a team, are disclosing it together. Normally, I will show a new type of issue to resolve, explain any problems that prevent preceding techniques from being employed, suggest a fresh technique to the trouble, and next bring it out to its logical conclusion. I believe this specific method not just engages the students yet equips them by making them a component of the mathematical procedure rather than simply observers who are being told how they can perform things.

As a whole, the conceptual and analytical facets of mathematics complement each other. A good conceptual understanding makes the methods for solving issues to seem more typical, and hence much easier to absorb. Lacking this understanding, students can often tend to see these approaches as strange formulas which they have to learn by heart. The more knowledgeable of these students may still manage to resolve these troubles, yet the process ends up being meaningless and is not likely to be maintained once the training course ends.

A strong experience in analytic additionally constructs a conceptual understanding. Seeing and working through a selection of various examples boosts the mental image that a person has about an abstract concept. That is why, my aim is to stress both sides of maths as plainly and briefly as possible, to make sure that I optimize the student's potential for success.