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Teacher Learning in a Community of Practice: A Case Study of ...

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at her maths books to which the teacher replied that they could only do that after five<br />

m<strong>in</strong>utes.<br />

There was a buzz <strong>of</strong> activity from all quarters <strong>of</strong> the class. The noise levels began to rise<br />

considerably (louder than I've heard <strong>in</strong> any other lesson I've observed). The teacher seemed<br />

undisturbed by it. (I found this quite remarkable, as my experience at this school thus far<br />

had been that teachers were quite strict about high noise levels especially <strong>in</strong> their<br />

presence). As I looked around, I saw many children attempt<strong>in</strong>g their graphs. Some pupils<br />

were not prepared to risk their first attempts on the blank graph paper that the teacher<br />

had given to them but preferred to draw up their own for a first attempt. A few pupils<br />

simply sat and stared at their worksheet, wonder<strong>in</strong>g what was go<strong>in</strong>g on, anxious at not<br />

know<strong>in</strong>g where to start from/ what to do. After about five m<strong>in</strong>utes, the teacher received a<br />

rem<strong>in</strong>der from several pupils that five m<strong>in</strong>utes were up and wanted to look at their maths<br />

books. The teacher allowed this, and said that he was go<strong>in</strong>g to give them another five<br />

m<strong>in</strong>utes and that they really had to try their best, aga<strong>in</strong> signall<strong>in</strong>g that it was okay to make<br />

a mistake - but he wanted them to at least try out the graph. He moved around the class,<br />

look<strong>in</strong>g at pupils' work, but not <strong>of</strong>fer<strong>in</strong>g comments or assistance from the now almost<br />

plead<strong>in</strong>g pupils. He smiled and nodded approv<strong>in</strong>gly at some <strong>of</strong> the attempts.<br />

After about five m<strong>in</strong>utes John called the pupils to attention. There was much quiet moan<strong>in</strong>g<br />

amongst the pupils. He expla<strong>in</strong>ed that sometimes it was good for them to work out th<strong>in</strong>gs<br />

for themselves and mentioned that he had seen some <strong>in</strong>terest<strong>in</strong>g graphs as he walked<br />

around. He then drew a blank graph on the board (X and Vaxes) and began by ask<strong>in</strong>g pupils<br />

where po<strong>in</strong>t zero would appear on the graph. All pupils appeared to agree that it was at the<br />

po<strong>in</strong>t where the axes met. He asked pupils if they could remember what the vertical axis<br />

was called, expla<strong>in</strong><strong>in</strong>g and <strong>in</strong>dicat<strong>in</strong>g which one was the vertical axis. He did the same for the<br />

horizontal axis thus establish<strong>in</strong>g X and V-axes.<br />

He then referred to the demand schedule po<strong>in</strong>t<strong>in</strong>g to the fact that the table had two<br />

columns and that each column could be represented on a separate axis. He expla<strong>in</strong>ed that to<br />

draw the graph for Jay's demand for coke, the V-axis would be used for 'price' (P) and the<br />

X-axis for quantity (Q) and proceeded to label the 'axes' price and 'quantity'. He proceeded<br />

to calibrate the vertical axis <strong>in</strong> multiples <strong>of</strong> R2 from zero to RlO, and the X-axis <strong>in</strong> multiples<br />

<strong>of</strong> two go<strong>in</strong>g up to twenty. By then, many pupils had stopped look<strong>in</strong>g at the board and were<br />

busy study<strong>in</strong>g their own graphs.<br />

John wanted to proceed, but could sense a quiet buzz (pupils whisper<strong>in</strong>g to each other about<br />

their graphs). At this po<strong>in</strong>t the teacher stopped his explanation and asked whether the<br />

class wanted to proceed on their own. Several pupils eagerly wanted to try it on their own,<br />

while some did not. A few did not respond but looked around at other pupils and the<br />

teacher. He looked around and at his watch and decided to allow pupils to proceed to plot<br />

the graph on their own. Aga<strong>in</strong> there was some protest<strong>in</strong>g from some pupils who appeared<br />

uncerta<strong>in</strong>. John walked around and helped <strong>in</strong>dividuals.<br />

178

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