I wanted my students to gain a sense of pride and to be able to glimpse the bigger picture of all the maths enquiries we had explored over the year, so I made a quick slideshow of our main units and added some pics of things we had explored in each.
The children had time to add some reflective thoughts of those they wanted to:
° Since this was the first unit I did in 6A, it helped me realise what maths can be since we did different activities than I had ever done before.
° This unit made me constantly curious, and made me wonder new things.
° I had never seen anything like this! I went home confused and saying, is this history or maths class? But, it all came together. You taught us that knowing isn't the point, UNDERSTANDING, is the point!
° These were the basic understandings I had to know to understand the key to maths so this helped me to open myself to mathematics more and to think about it in ways I had never done before. It made me realise that using numbers isn't scary because they don't even really exist.
° I learnt a lot in this unit and it made me think of things I hadn't before. I used to just accept that numbers were the way they were. But in this unit, we needed to think for our ourselves WHY the numbers are designed in that system. This unit first made me realise what you have been explaining all year- knowing the whys of maths is more important than the hows.
° I already knew what angles were and how to use them, so this unit, I challenged my thinking to see if there were PATTERNS in angles, and prove/disprove my theories.
° This unit was to bring geometry in because experimenting with angles was lots of fun and every mistake is an answer in this unit.
° During this unit, I expanded my thinking a lot more,and helped me a lot with thinking maths is fun because we never did problems on paper, it was always fun, creative activities.
° This helped me realise that maths is everywhere in nature and I think its in other places too.
° Fibonacci numbers didn't REALLY grab my interest, but the activities that we did, made me think about if Fibonacci numbers in nature is a real pattern or just a huge coincidence!
° I am still wondering if there are any more ways that we can use Fibonacci numbers, Like prime numbers are useful in a coding security.
° This unit helped me discover that maths is used everywhere and we even we use maths without thinking thinking about it.
° Learning about the Fibonacci numbers really pushed my thinking about how maths connects with everything in the world.
° I had never thought of the question we began our unit with before: Does nature use maths? It is still on my mind when I look at nature these days.
° I discovered different ways and patterns to find area and perimeter. There are lots of connections between them and I liked how we had to find them ourselves instead of being told. It made me feel proud when I found new patterns myself.
° Area and perimeter was the most hands-on activity unit that we had. My personal favourite was measuring the football pitch because there were shortcuts, and we were outside. During this unit, we had an equal balance of group and individual learning.
° This unit helped me understand how and where we use maths in real live. I learnt new strategies and I found out the area of my house.
° I discovered that open ended activities can really develop my mathematical skills because I am the one who is responsible for my own learning. This unit showed me that if I ask more questions to find out then I will deepen my learning. This was the unit that made me realise how I can be a very effective mathematician.
° This unit helped me to understand a bit more how we use maths in real life.
° I always found data handling more difficult than other parts of maths, but I realised that when you draw it out onto some type of chart of graph, it makes finding average, mean, maximum, minimum etc, easier!
° There are many new ways of data handling like graphs, the mean,median and mode etc. I never new that all these ways are for handling data.
° This unit was very fun because we got to make our own graphs and learn in a more creative way, like racing and finding the time. This helped the learning to be more engaging and increases the chance that we will remember the unit.
° During this unit, I learnt how Fractions, Decimals, and Percentages are all connected with each other. The activities that we did made me think about how we use them in our daily lives, which put a new insight to my thinking.
° It helped the class see how we can find maths everywhere even in humans, and art.
° I liked how we had to think where we were with our understandings of fractions and then chose what we should learn next.
° Why is it the one that changes the number most first, even if it is an unknown value you can still solve it as you get to it, what example is there that clearly explains why you need brackets, even if you did it left to right then why left to right?
° BODMAS was just for geniuses I thought but actually all you have to master is the strategy and the order of operations and then you have turned something hard to easy.
° In this unit I learnt that WHY is very very very very very important. When we understand why, then it all makes sense.
° This unit was a lot of fun because we got to discover new things, like how much my pencil case weighs, or how much water you have to put in a scale to match the mass of a orange. And it was especially fun to think about how much I weigh on other planets!
° This unit made me realise how connected science and maths is.
° Negative to positive strengthens my understanding of how the world works and different strategies to find when working with positive and negative numbers.
° In this unit we were always making theories and testing them to see if they were true or not. They have many connections which was fun and helpful.
° In this unit I realised that prime numbers are like building blocks of composite numbers like primary colours are the building blocks to secondary colours.
° In this unit I started to feel like ciphers, codes, internet security, and encoding writing are very interesting for me.
° Maybe someone could say that something hasn't anything to do with maths, but this unit made me think that every-single-thing has a connection to maths.
° This was my favourite maths unit because we had to test our theories all the time and we did fun and engaging activities. I especially liked making paint colours using ratios. That made me understand what ratios are in a deep way.
° I finally discovered why people in America have different units of measurement.
° This made me realise how much we use maths in our real lives and that decimals are really important to understand.
° From this unit I discovered that column strategies is most faster and very useful but I also discovered that some people have different strategies that can solve questions easy.
° I liked how we had to decide which strategies were more effective. I really liked learning the area model strategy because it finally made me understand what i am doing when I am multiplying big numbers. Before I couldn't understand.
° We had to be responsible for ourselves in this unit by choosing strategies to enquire into and then decide which is better to use.
After some time making our reflection comments on each slide, we discussed how impressed were with all the learning we had done in one year and others remarked on how much they had changed as mathematicians. One student remarked how she thought it was amazing that we did an entire year of maths without any textbook and not even one worksheet!
I then gave them a quick google form survey to find out further:
Our base 10 number system unit was our first unit of the year. Being so long ago, I had figured it wouldn't rank very high as children tend to think of things they did more recently.
Seeing this high result has made me realise that the unit should very much stay next year.
I also found it interesting that it was primarily number units that they found more interesting than the more hands on measuring units.
Again, the base 10 number unit ranked high. I think it was the first time that they started understanding why discovering the WHYS of maths is so important and interesting.
Seeing these results makes me rethink of how long I schedule units for next year. Clearly, I should be giving them more time for children to enquire into.
How have you changed as a mathematician this year?