Our Number System

During our Discovering Mathematics lecture yesterday, we were looking at the origins of number systems and how other number systems such as Roman Numerals work.

We were given the task to think of the other numeral systems and in groups create our own system. Our group originally started just playing around with dots which became a lot more when we tried to appeal to children. Our simple dot system became like smiley faces (like the emojis used on smartphones which children seem to really enjoy expressing themselves through), named by minions (because of the insane obsession with them currently) and our last section, for any number after five, our numeral system resembled the Munduruku tribe numeral system where after the number five they had “many” where as we used “plenty” after our fifth dotted symbol.

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Richard then posed us with the question  – how would you order ten drinks at the bar? If you say plenty – how do you know you will get exactly ten drinks? But there is a solution to this problem Richard, sums. Multiplication, addition.. If you want ten drinks, simply order kevin drinks twice… You then have exactly ten drinks without needing a number for ten. The Fundamental mathematics Richard…

 

Cross-Curricular Maths

After the Tessellation and Islamic Art maths lecture with Tara, I thought I would reach to the blog again.

Before starting this lecture, I thought shape in general for maths was quite boring. There was nothing interesting or mesmerising about shape when I was learning about it in primary school. However, tessellation was taking shape and doing something completely different.

Tessellation dIMG_6575oes not only involve shape but angles as well. I never realised that only shapes that when the points touch the external angles make 360 degrees would tile. For example four square edges would join together, each square internal angle is 90 degrees so four touching square angles equal 360 degree and they fit together perfectly therefore they have the ability to tile/tessellate. This also works for triangles (shown to the left), hexagons (shown below) and any quadrilateral shapes. However, it does not work for octagons and pentagons.

This is mathematics that is used by any tiler probably subconsciously. If I ever need to tile a room, I now know which shapes to use and which shapes to avoid! Although I do doubt if I will ever been tiling anything…

Using shape to make Islamic Art was fascinating. I have never thought of usiIMG_6586ng shape to create art before in this way and it will definitely be a cross curricular activity I use when I go back into the class room. The nipple and paste idea to create new picture of tessellation is also another maths and art activity I will definitely consider using within the classroom.

This is the kind of art that inspire myself to get the children involved in rather than just another drawing or painting, it is something different for maths, art and religion that I would hope I engage children in all curriculum areas.

These are a few more examples of a shape that tessellate and a shape that doesn’t tessellate.IMG_6576IMG_6579

 

 

My Maths Mindset

Just after starting thMathAnxiety (2)e Discovering Mathematics elections, we were asked to do a maths anxiety questionnaire and reflect upon our maths anxiety. Therefore, this is my blog post on my maths mindset.

I feel my maths anxiety is overall quite low just now. I am fine, and actually quite enjoy, to listen to maths lectures and tutorials. I do not mind doing maths assessments that I am prepared for and aren’t graded such as the OMA. However, I feel more anxious doing examinations that are graded – this isn’t just maths related. The last time I felt like this was in standard grade maths. I quite enjoy the relaxed yet challenging atmosphere my standard grade maths teacher created. This is the way I wish to portray maths in my own classroom.maths

However, I dropped out of higher maths after two weeks because of the anxiety that I would not be able to cope with the level of mathematics and the stress of higher maths. After two weeks, I was feeling extremely anxious that the mathematics was too difficult and I would not get the support I needed to pass the exam.

I feel that maths is approached with a lot less anxiety and stress in university – it is a lot more relaxed atmosphere which is how I hope to convey it within my classroom as a teacher. I remember in primary 7 having a teacher on their probationary year and being very scared to answer any maths question in his class in case I got the answer wrong and was told so in front of the entire class. I feel that show me boards like we used in the lecture today is a good way for only me, as the teacher, to see how everyone is getting on with the topic without shaming them in front of their peers.

Blackboard to Glow Transition

After our ICT lecture with Derek on the ePortfolio transition to the VLE Blackboard to Glow Blogs, I have decided to blog the changes. Last year in MA1 we had a bit of a disastrous time using blackboard for our ePortfolio, the lack of engagement with the ePortfolio showed because of this.

The blackboard ePortfolio was a long list of pages with no interconnectivity between them, this meant that the students  had to write and copy and paste anything they wanted to feature in more than one page. However, on the Glow blogs, students can categorise  one blog post onto as many pages as they wish as well as linking each blog post to the professional standards.

The Glow blogs allows easier sifting through posts. In the ePortfolio on blackboard, there was endless pages and posts getting lost throughout the pages which I can only believe made life difficult for the advisor of studies and markers to look through and find the relevance of each post. However, on the glow blogs ePortfolio, the blog posts can be tagged and categorised into different pages and professional standards which means that the posts can be found with a lot more ease in my opinion.

I personally think that adding links, different blogs/ePortfolio’s, media I think is a lot easier on the glow blogs than the ePortfolio from blackboard. I think adding links, videos, pictures is more straight forward on glow blogs than it was on the ePortfolio, I never once added a video or picture to my old ePortfolio but I will not hesitate to add to my new ePortfolio.

Overall, in my own opinion, I definitely prefer the new glow blog ePortfolio over the blackboard ePortfolio and I think this will show especially with the MA2 engagement in the ePortfolio.

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