Tag Archives: maths elective

Have I Discovered Mathematics?

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If you had asked me this time last year whether I would have chosen to do a mathematics module at university I would have said no- absolutely not. Fast forward 6 months and if you asked me how I was feeling about the upcoming new semester and the Discovering Mathematics module I had in fact chosen to do I would have said I was dreading it. Maths has never been something I’ve ever been particularly excited about (as you can see from my very first maths blog post). However if you asked me today how I feel about maths- after having just submitted my discovering mathematics assignment- I would say it excites and intrigues me.

Over the past three months, I have found myself getting excited about our mathematics inputs. I have had my mind expanded by learning about the origin of numbers, the mathematics behind board games, the universe in which we live and so, so much more. I’ve learnt different teaching techniques, I’ve built my knowledge and most importantly, I’ve built my confidence.

At the start of this module I completed the Online Maths Assessment  and scored 76%. Before starting this blog post I completed it again and scored 76%. Although I got the exact same score in both attempts, in my second I felt a lot more confident (even getting a little bit excited when a question about the Fibonacci sequence came up!). I have realized that maths can be fun and as someone who has always described themselves as ‘creatively minded’ I have realized that I can use this to my advantage when teaching mathematics rather than seeing it as a hindrance.

Although I did teach maths lessons whilst on my first year placement- even choosing to teach maths for my summative assessment- I think in the future I will be able to incorporate different subject areas within my lessons and be a more enthusiastic teacher. I believe this will allow me to engage the children in my lessons better and will hopefully allow them to feel a similar excitement when learning mathematics.

But what about that dreaded maths anxiety-is it any different? I do believe my maths anxiety has been seriously reduced, I don’t get a rush of worry when anyone mentions sums and I don’t panic when thinking about teaching it in the future. However I do think it would be very easy for me to slip back into a maths anxious frame of mind. In order to stop this from happening I must continue to engage with the subject, whether this be through the OMA or just doing maths in my head rather than using a calculator.

So, throughout the discovering mathematics module I’ve gone from feeling like this…

to feeling a bit more like this…

 

Board Games- Mathematical? No way!?

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I’m going to start off this post with a little bit of honesty… During our recent input about the maths within board games I was kind of (very) distracted by a ‘Where’s Wally?’ jigsaw puzzle so I didn’t quite manage to make a lot of notes on the subject… But never mind! it’s time to explore the mathematics within some of the nations favourite board games!

Throughout my childhood I would always get a new board game for Christmas- without fail. The whole family would sit and play the newest edition of ‘Monopoly’ or ‘Guess Who’ instead of watching the Queen’s speech. But little did I know that these board games weren’t just a way to escape the Christmas TV but were actually forcing me to use mathematics even during the holidays (sneaky…)

I feel like the best place to start when talking about board games is obviously with Monopoly. Although it may seem like a game you can win using luck, it’s actually a lot more complicated! Monopoly uses chance, probability, percentages and much more. There is actually a science behind winning the game so, if you want to impress (and probably annoy) your friends and family this Christmas just watch this short video, follow the rules and you’ll be sure to win every time!

However, monopoly is not the only game which uses maths. Jigsaw puzzles (just like the Where’s Wally one I was so easily distracted by) also use maths. Jigsaws use tessellation to ensure all the pieces will fit together, they use distribution and fractions.

So, if you, your son, daughter, sibling, etc is ever asked to take a board game into class on the last day of school, it’s only because they’re mathematical!

Please Mind The Gap…

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Sun, Mercury, Venus, Earth, Mars, Asteroid Belt, Jupiter, Saturn, Uranus, Neptune, Pluto, Kuiper Belt Objects- it’s the solar system!

But what’s wrong? I’ve included the belts of comets, I’ve even included downgraded dwarf-planet Pluto but there’s still something missing…

The same thing that’s missing from this picture of the solar system… But what is it..?

The gaps! We’re missing the masses of space between the planets which make up space. (funnily enough…) Planets are like grains of sand spaced out in a large outdoor stadium.

When teaching children about the solar system and using images like the one above it is fundamental to ensure you also teach about the gaps between the planets.

But how do we teach about the gaps between planets when it would be near enough impossible to fit them all on a page? its all about scale and proportion.

One way I found to be effective was to line the planets up in a setting I knew (this also links to the CfE principle of relevance). For example, when explaining to a room full of confused-looking student teachers, Dr Simon Reynolds used Dundee and the surrounding areas. If, scaled down, the sun was at the Dundee Science centre, the furthest away planet (that we know of), Neptune would be way past St Andrews and into the Scottish waters. (See below)

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This image shows how difficult it is to show the planets and gaps between them in a single picture. With the planets proportionally sized and spaced out you can barely even see the inner planets (Mercury, Venus, Earth and Mars) which are all scattered across the Tay Road Bridge.

Another activity Dr Simon Reynolds engaged us in was using different balls to show the difference in size between the different plants. For example, if the sun was the size of a beach ball, the Earth would be a small bouncy ball and Neptune would be a football.

So, even if using pictures like the first one in the blog post to teach children about the planets in our solar system, it is equally important to teach about the gaps and sizes of each of the planets using a number of different activities.

Mathematics and Art

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You can either be mathematically minded or creatively minded, you can’t possibly be both, right?

Wrong.

Maths and art go hand in hand, they’re like apple and cinnamon or cheese and crackers.

Throughout school maths and art were always completely separate subjects, they took place in completely different parts of the school and even in primary school they were taught by different teachers. I could never have imagined them going together. That was until a very eye-opening input about their connections throughout time.

Artists have been using maths to create masterpieces for hundreds, if not thousands of years. Ancient Greeks used the Golden Ratio to ensure buildings and sculptures were pleasing to the eye. Renaissance painters used mathematical  to ensure facial features and body parts were in proportion and a lot of religious art in heavily mathematical with tessellation and geometric shapes featuring heavily.

Islamic art is possibly my favourite kind of mathematical art, so far… I think it’s eye catching and beautiful. Islamic art uses tessellation to create stunning images which paint the walls and ceilings of buildings.

Tessellation is the arrangement of shapes closely fitted together to create repetitive patterns. However, tessellation can not be done with any shape, it can only work if all of the angles of the shape add to make 360° such as squares, hexagons and equilateral triangles.