Children\'s Mathematics

Rotation – turning, twisting or rolling oneself or objects in the environment around. Children play circle games, running in ci ...

John is finding out about capacity, area, perimeter, shape, space and volume through his schemas. When he is inside that cuboid ...

into children’s minds and is extremely mathematical. We have provided a back- ground on mathematical schemas and are now going t ...

said about her drawing (Kellog, 1969). Other studies such as Eng’s looked at changes in content (Eng, 1999)). In the examples we ...

area is particularly important to extend children’s schemas. Many of the mathemat- ical concepts bound up in visits also nourish ...

Chloë’s older sister, Lydia, was already in the first class in school. A week after the meeting about schemas, Chloë’s mother se ...

This observation was 25 minutes long. During this session Naomi explored going round a boundaryor perimeter and other mathematic ...

We had been very excited by our early observations, but shorter observations of schemas are more manageable in a busy classroom. ...

Figure 3.4 James and Mitchell construct spirals Several children decided to make square, oblong, triangular, oval, diamond and p ...

Figure 3.5Aaron’s spiral ‘map’ Spiral marks and representations Spirals and spiral-like marks appeared on paper, in painting and ...

Figure 3.6 Spiral aliens We put plain yoghurt in the fridge with some fruits and jam for children who wanted to stir. On anothe ...

experience in providing the content of representation’. She argues that these first- hand experiences could be called the ‘stuff ...

traced their development, a visible pattern began to emerge that was quite unex- pected. When represented on paper the pattern l ...

Understanding Aaron’s pattern of schema explorations Aaron appeared to move through seventeen schema interests during nine month ...

Rotationand spiralschemas also complemented each other. The observations above show the way in which Aaron added to his understa ...

schemas. Compare a less stimulating mathematical curriculum where the teacher has a script to ‘teach’ shapes. The teacher in thi ...

Figure 4.1Alex’s letter Alex, 4:7, read his letter (Figure 4.1) to me: ‘Hello! I want you to write to me – I’d like that. School ...

The significance of emergent writing Two voices Elizabeth: one of the major turning points in my teaching career came, in the ea ...

initial shock, then you sort out whether you accept it or not. I decided this criticism of my mathematics teaching was a fair co ...

series of capital ‘Hs’ which link with his schemas at that time (height, grids and tra- jectoriesand verticalandhorizontal lines ...