November 29, 2016
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Comments Off on Music and maths
“Rhythm depends on arithmetic, harmony draws from basic numerical relationships, and the development of musical themes reflects the world of symmetry and geometry. As Stravinsky once said: “The musician should find in mathematics a study as useful to him as the learning of another language is to a poet. Mathematics swims seductively just below the […] Continue reading
November 29, 2016
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Comments Off on Maths is art?
Maths is everywhere, from structures and buildings to technology and science, mathematics can be seen by anyone at anytime. However, what some people fail to notice is the importance of maths within art, with sequences and ratios being used to create some of the most famous paintings and designs ever created. ad far back as Leonardo […] Continue reading
November 28, 2016
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Comments Off on There’s maths in art… No i’m not going crazy!
Until I chose ‘Discovering Mathematics’ as my elective this year I was totally unaware just how much mathematics affects us in our everyday life’s during absolutely everything we do. One of the recent things that I have learnt is that maths is used just as much in a maths class as it is in an […] Continue reading
November 28, 2016
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Comments Off on Profound Understanding of Fundamental Mathematics
“Teachers must have a profound understanding of fundamental mathematics.” – Liping Ma, 2010 To teach maths, you must first understand maths. To understand maths you have to be fully engaged and willing to put yourself in your pupils’ shoes and learn. Liping Ma states that this is one of the most important factors in terms […] Continue reading
November 28, 2016
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Comments Off on Lets have fun, lets do maths!
One of the most important factors for me to have children engage with mathematics at a level that they want to learn and more important understand what they are learning is to make sure they enjoy what they are learning. In order for this to happen it is up to us, as teachers, parents and […] Continue reading
November 28, 2016
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Comments Off on Han’s The Magical Horse
The question can animals count arose during one of our mathematics inputs and it got me to thinking, well can they? We had been looking at Von Osten and his clever horse, Hans. Osten had a keen interest in animal intelligence and with the help of Hans, this would ultimately win him some degree of […] Continue reading
November 23, 2016
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Comments Off on Bookies or Bust
One area the particularly interested me throughout my development within the module was the importance of math’s within gambling, something I myself occasionally partake in and something many of my friends do. Gambling consists of many forms including betting shops, casinos, and racing but for this I will focus on casinos in particular. A study by the […] Continue reading
November 22, 2016
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Comments Off on Can animals count?
Society has shown an interest in animals and their ability to count and understand numbers for centuries. However, clear documentation of this only emerges around the early 1900’s. The curiosity began with well-known stallion ‘Clever Hans’, this information is encapsulated form Alex Bellos’s ‘Alex’s adventures in numberland’. Hans’s owner ‘Wilhelm van Osten’, who was a […] Continue reading
November 22, 2016
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Comments Off on Making Mathematical Connections
During my engagement with the discovering mathematics module, and my research for my essay, I came across an enlightening post from Linda M. Gojak, the president of the National Council of Teachers of Mathematics (NCTM). Within the post she states the importance of making connections within mathematics, and how one experience of connections being made […] Continue reading
November 22, 2016
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Comments Off on Why did I choose Discovering Mathematics?
I chose to take the elective of discovering mathematics mainly because of my fear of maths. Before choosing my elective, I had a look at all of the choices given to me. Originally, I was going to take French as my elective but as I am fluent in French already, I did not feel that […] Continue reading
November 21, 2016
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Comments Off on Maths and Music in Harmony
“Rhythm depends on arithmetic, harmony draws from basic numerical relationships, and the development of musical themes reflects the world of symmetry and geometry. As Stravinsky once said: “The musician should find in mathematics a study as useful to him as the learning of another language is to a poet. Mathematics swims seductively just below the […] Continue reading
November 21, 2016
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Comments Off on Time for Maths
Time is a funny thing. It is something that we all use but we have no idea where it originates from. Why do we use the time system that we do? How before clocks were invented did we know what time it was? How do animals know what time it is? Well let’s try and […] Continue reading
November 20, 2016
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Comments Off on Inspiring the Future – Redraw the Balance
November 16, 2016
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Comments Off on Maps, Maths and More Maps
We recently received a workshop from Richard which looked at the aspect of mathematics involved in reading a map. We completed the task on google maps, because sadly we were not allowed to complete the task in the middle of the Highlands due to health and safety. We were placed in an area which we […] Continue reading
November 16, 2016
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Comments Off on Time flies when you’re having fun!
Before Mechanical Clocks Before mechanical clocks were invented there were sundials, obelisks and water clocks which helped people tell the time of day it was. Sundials, obviously, told the time by the sun and the way it worked was with the shadows produced on the sundial. Sundials are the oldest known instruments for telling time. The […] Continue reading
November 16, 2016
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Comments Off on Where has the penny gone?
This summer, I went on holiday to Canada to visit family. I stayed in Markham, Ontario which is about half an hour from the centre of Toronto (which is not the capital of Canada). On my first full day in Canada, my cousin and I ended to Downtown Toronto to do some shopping. We went […] Continue reading
November 16, 2016
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Comments Off on Main Principles in Mathematics
Liping Ma (2010) suggests that to have a profound understanding of fundamental mathematics (PUFM) that you must have these 4 main principles which are, basic ideas, connectedness, multiple perspectives and longitudinal coherence. In this post, I will discuss my understanding of these 4 principles. Basic Ideas Liping Ma (2010, p.122) states that: “Basic Ideas. Teachers […] Continue reading
November 16, 2016
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Comments Off on My first NOMA AND OLA
A couple of weeks ago, I fully attempted an OLA and a NOMA. I had tried before in the past, but the OLA was not working properly when it came to the sound, but finally it started to work. When I found out we had to engage with the OLA and NOMA I was not […] Continue reading
November 14, 2016
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Comments Off on Nature of time
Time is something that I hadn’t really thought about as it just something that we have come to learn and know. It is probably one of the most important aspects of mathematics that directs our lives. Everything we do is according to a time and schedule. It was a bit of a surprise to me […] Continue reading
November 14, 2016
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Comments Off on Number systems and Connectedness
Richard said to us that in order to look at some of what we would look at in Discovering mathematics, we would have to forget everything we know. And he was right. One of our lectures we looked a place value and binary and my mind boggled. So much so that Richard went over binary […] Continue reading
