# Tutor profile: Joshua M.

## Questions

### Subject: Trigonometry

How would you define Trigonometry?

Trigonometry is a branch of mathematics that studies relationships between the sides and angles of triangles. Trigonometry is found all throughout geometry, as every straight-sided shape may be broken into as a collection of triangles. Further still, trigonometry has astoundingly intricate relationships to other branches of mathematics, in particular complex numbers, infinite series, logarithms and calculus.

### Subject: Statistics

What is Statistics? How would you define statistics?

Statistics is the science concerned with developing and studying methods for collecting, analyzing, interpreting and presenting empirical data. Statistics is a highly interdisciplinary field; research in statistics finds applicability in virtually all scientific fields and research questions in the various scientific fields motivate the development of new statistical methods and theory. In developing methods and studying the theory that underlies the methods statisticians draw on a variety of mathematical and computational tools-like calculators.

### Subject: Algebra

How would you teach algebra?

In algebra, X marks the spot. Well, sometimes it’s N or Y. Either way, that spot can often leave children’s heads spinning, as they find themselves face-to-face with funny-looking equations that need to be simplified. Maths doesn’t always have the most positive reputation among young people (or older people, to be fair) and algebra – with its signs, symbols and substitutions – is up there with the least beloved of it. But it doesn’t have to be intimidating. I believe that when presented in the right way, it can even be exciting and magical. First, the basics. For young pupils, understanding the repetitive nature of patterns is a crucial step in laying the groundwork for algebra. You can use this interactive lesson and encourage your pupils to demonstrate their understanding by continuing a pattern on a string of beads. Or, if your craft supplies are plentiful, you could get them to replicate and complete the pattern in real life.

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