Teaching

Maths teaching log

I am a student at Warwick University studying maths.  I did a module on secondary school teaching, and as a part of this, I got the chance to do teaching experience in schools.  This is a log of the work I have done and materials I used.  

January 2006

I did a module called Development of Mathematical Concepts which examined a number of different learning theories.  This is my final essay:
Is Constructivism important for thinking about the learning of mathematics.pdf


February - March 2006

Assessment for Introduction to Secondary School Teaching is via mini essays.  Here are mine:
Essay 1: Should Mathematics be compulsory?
Essay 2: Lesson observation from the point of view of students
Essay 3: Relating a personal learning experience to a learning theory
Essay 4: How mathematical ideas are developed through school, higher education and the workplace
Essay 5: Lesson observation with particular reference to assessment methods


Final Essay: Reflective essay on experience in schools

(Click here to have access to the original word document formats)

Wednesday 8 March


This is the first bit of teaching I have planned.  It is for a year 7 bottom set, and it is designed to be a 10 minute introduction or starter to a lesson teaching the relationship between fractions, decimals and percentages.  

I start with a presentation and find out how much they know.  Hopefully this refreshes the topic in their minds and makes it a bit easier to understand.  

Then I get them to work in 2s or 3s with a set of cards, some of which have pictures of fractions, some written fractions and some decimals for if they get that far.  There are two levels of difficulty, so they will get 6 different fractions to match up, and the ones that manage that quickly enough can try 6 slightly harder ones, try to match up simple decimals with them, and then see if they can recognise equivalent fractions (2/5 = 4/10, etc).  Afterwards I go through the last few slides of the presentation to make sure they get the right answers and help them to see why.  

Wednesday 22 March

We will be working with 10 of the brightest students in set 2 of a year 9 group.  We're going to go through their exam papers (which we had the pleasure of marking for most of the day), and introduce laws of indices.  It's technically a lesson, but no resources as such, just some notes on which questions to try with them.  


Friday 24 March


Our first proper lesson.  The objective is to introduce expanding brackets.  We will use the following method to explain why we multiply out brackets the way we do:

(x+2)(x+1)
If we are extending by 2 one way and 1 the other, we can add these lines on, and by splitting up the shape we can find the area of each bit.  Then we just add them up.  

I have made a worksheet of practice questions of increasing complexity to make sure they understand what they're supposed to do.  And here's a version with the answers.  



Thursday 30 March

We did a joint starter for Janice's year 7 group on increasing and decreasing numbers by a percentage.  We came up with a bunch of questions and did a kind of quiz with them.  They each had a little whiteboard and pen, and put their answers on that, so we could see what everyone in the room had worked out.  It went down well, and they all got involved, but made them a bit noisy.  We went round helping afterwards to explain how to do some of the harder questions from the exercises.  

I created a Training Entry Profile which is a log of my experiences along with the relevant QTS (Qualified Teacher Status) standards which I have touched on or begun to meet alongside.  Have a look if you want to see a fuller account of what I did in the three weeks.  


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