I’m not entirely sure I have what it takes to do this. This being teaching Maths without a curriculum. It seems a bit daunting. Bearing that in mind, it was important for me to be working within a frame work of sorts (the national curriculum). I’ll not be teaching from it, but will use it from time to time to direct the girls learning.
I have decided to use geometry to help the girls discover many of the objectives on the framework The reason I chose geometry is that (for me) shapes are mathematic from their very core; visual, colourful and very versatile, in addition to being fairly simple to understand. We will be starting with quadrilaterals. Quadrilaterals, in particular squares and rectangles, lend themselves well to illustrating the principles of multiplication. Learning their multiplication tables for instant recall is my main goal this year, although I must say the girls know them fairly well already having spent the last few years drilling them like mad. However, what is missing is their full understanding. So I intend to allow them time to discover the patterns of the tables, one by one. Denise Gaskins has a fabulous series on her blog all about teaching the times tables and I will be drawing many ideas from here.
However, I have so much more planned than mere multiplication. The girls will be discovering fractions, percentages, graphing, tessellations, square numbers, angles and much, much more from working for the next two terms on quadrilaterals. We will then move on to triangles for two terms and finish off the year with circles for the last two terms. I will not be teaching anything (phew!) but I will be facilitating loads. Facilitation is my strength, not teaching. I facilitate learning very successfully in all our other subjects yet feel very unsure of myself here. But it makes sense to work to my strengths rather than my weakness and much of my own reading around the subject of maths confirms that a child who discovers maths by himself is a more effective mathematician than a student who is spoon fed it through a curriculum. I am going to repeat that daily for reassurance and pray all we have planned is successful for the girls.
The girls will also be playing lots of mathematical games, using Life of Fred elementary series (as a time filler when necessary) and doing their five a day questions to work on things they might need practice in.
Finally, I am intending to set the three older children a question or mathematical proof each week, that they can work through in their own time. I know they will all enjoy the challenge of this and I anticipate much dinner time discussion around the puzzle!
One of the decisions I’ve needed to make just recently is whether to have the girls do some maths journaling. Not particularly wanting a folder full of notes the children would be unlikely to choose to look over I decided instead to make a maths informationary. Remember my writing one?
Essentially, this is a homemade file full of information that is accessible at a glance. I thought a mathematical informationary would meet the girls’ needs far more efficiently than a maths journal. Firstly, they would probably use it a lot more and secondly it would take seconds to complete each week.
I used two folders, but more can be added on at a later date. I opened them up flat, trimming off any excess edging and stuck one flap to another. This created lots of lovely space to be sticking simple mini books. I intend to have the girls fill them in each week with anything new they have discovered. This will ensure they understand what they have learnt and also give them a point of reference if they forget any details at a later date:
I will be making one for T11, just because I think it will be useful for him to have (it is his I have photographed, the girls have not made theirs yet). He has a very heavy work load this year so will not have the time to do it himself. So far, I have added the multiplication table to the front. This is primarily for the girl’s sake because we will be drilling these in this year:
A flap book of the decimal system:
And I made up another one outlining all the quadrilaterals. Next week the girls will start investigating quadrilaterals and will be required to fill in a flap book with all they have learnt. T11 has already learnt about these shapes. Here is the quadrilateral flap book:
And here is what it all looks like so far:
Obviously, it looks empty at the moment, but I am certain it will fill up very quickly with all the mathematical activities I have planned for the girls this term!