Mathematics Teaching 200 - Jan 2007

Mathematics Teaching 200 - Jan 2007
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Special issue on 'surprise' – surprise in mathematics, in classrooms, for learners and for teachers

Features

Surprise and inspiration - Anne Watson and John Mason

Learners can be surprised by the way in which their emerging ideas suddenly connect and reveal something new, concise and unexpected. One of our favourite examples is in a textbook on taxi-cab geometry...

Setting up surprises – should we or shouldn't we? - Jenni BackBuy MT2002021 for £3

Reflections on the nature of surprise and whether there is a conflict for teachers in situations in creating a surprise deliberately. from me, the Institute of Mathematics Pedagogy 2006 was an amazing few days and seemed much longer than four days...

Mathematics without ... irregular polygons - Heather McLeayBuy MT2003133 for £3

In my session at conference we explored some of the more unusual aspects of complex polyhedra, including the notions of 'valence' and 'species'...

Cognitive and social perspectives on surprise - Mundher AdhamiBuy MT2003436 for £3

Meanings of 'surprise' are wide and include uplifting and engaging facets like wonder and amazement on the one hand as well as ones that may be of the opposite nature like interrupt and disrupt on the other...

Inside the letter - Roger Duke and Alan Graham

Of the many possible types of ICT applications available, we have chosen to concentrate on the use of Java applets. The reasons for this choice are based on personal experience and expertise...

Link to Centre for Mathematics Education website with Matchbox Applets

Musings on surprise

From participants of the Institute of Mathematics pedagogy, 2006...

Centre feature

Symmetry in the car park - Karen HancockBuy MT2002425 for £3

It had been raining all week..."If I said we were going into the car park, would you be able to give me an example of rotational symmetry?" "Alloys?"...

From the classroom

Being alongside - Laurinda Brown and Alf ColesBuy MT2000810 for £3

Laurinda Brown and Alf Coles have a conversation arising out of reflections on a classroom incident: "I was sitting at the back of your classroom recently and you were using what we refer to as the Gattegno chart..."

A copy of the Gattegno chart referred to in this article
Dick Tahta and Helen Williams respond to this article

Knowing the answers - Barbara BallBuy MT2001718 for £3

I began by using the sample alphabet programme from Working with Sums and Products. Three inputs are randomly generated and this summer and product are produced...

Boxed in! - Judith StevensBuy MT2002830 for £3

Early years practitioners know what parents are reminded of every Christmas day - it doesn't matter how long families spend carefully selecting the presence, the children are likely to spend longer playing with the empty boxes!

Research

Emergence of themes and issues in development and research - Barbara JaworskiBuy MT2001215 for £3

Barbara Jaworski discusses the use of stories from the classroom to promote development in learning and teaching through inquiry communities...

How interactive is your whiteboard? - Howard Tanner and Sonia JonesBuy MT2003741 for £3

Howard Tanner and Sonia Jones question the assumption that interactive whiteboard is automatically lead to interactive teaching...

Shorts

Surprise - Geoff Faux

When I returned from Sheffield after working on surprise there was a bulging email box waiting for me...

Surprising myself - Jenny Piggott

A colleague of mine would have called such moments 'powerful points' and often used to say that every lesson should have at least one...

Surprising digits? - Alan ParrBuy MT2000607 for £3

Does the number of internal angles other digit determine its shape?

Response to 'Being alongside' - Dick Tahta and Helen Williams

Dick Tahta and Helen Williams respond to Laurinda and Alf's conversation on 'Being Alongside'

Just tell us the rule! – an answer... - Stella Gabriel

The main aim of my teaching has been to enable students to reason, conjecture, estimate, adapt their methods and justify their assertions.

A surprise for Alice - Helen Williams

Alice wants to know the fewest number of aeroplanes needed so that one plane to make a complete journey around the globe.

Lumbering maths - Ken AndersonBuy MT2002223 for £3

She looked bewildered, holding a nickel and three pennies, while looking at the screen on her register. I sensed her discomfort...

Emily's discovery - a reply - Bernard MurphyBuy MT2004141 for £3

Reply to Colin Foster's 'Emily's Discovery' in MT 199

Regular features

Reflections - Malcolm Swan

I love it when students surprise me. I recently worked with a group that appeared to believe that area and perimeter are related (if you increase one, you increase the other). I tried to help them realise that this is incorrect by introducing a counterexample: "Look at this sandwich"...

From the Chair - Sue Johnston-Wilder

8 Correlation Street - Jonny Griffiths

News from ATM

HodLines

Puzzle page

John Harrison provides the beginnings of a solution here

See also

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Editors

 

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