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ATTRIBUTES (Matching (Observing and classifying things that are alike and…
ATTRIBUTES
Matching
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Concept: objects can be classified depending on their attributes and joined(matched) those who are similar or different.
Skill: finding objects which are the same/different in some way and describing the similarities/differences.
When matching, we use 2 objects only. To provide a description of attributes children can talk about colours, positions, sizes…
Examples of games can be matching cards, flipbooks or dominos.
Sorting
Sorting or classifying according to shape, colour…(any attribute).
Concept: objects can be classified depending on their attributes. This time by grouping attributes with the same characteristics.
The skill involved is actually doing it, sorting the objects and describing what they are doing.
The 3Ds are: Decide, Do and Describe. Colour does not offer the degree of variability that we look for. We look for a degree of variability in some attribute.
You can not get more yellow or less yellow, but you can get bigger or smaller.
Game: the one attribute difference game.
Comparing
Concept: classification of objects depending on more or less of a mathematically significant attribute.
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Ordering
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Skill: is actually doing it. Events such as days of the week or months in a year have a specific order such as numbers in mathematical operations.
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Patterning
Patterning requires all the previous concepts and skills mastered. It is a repetition of some recognisable feature.
Skill is actually being able to recognise that feature. It is really important because it stimulates creativity and requires to organise and remember previous mathematical knowledge. Algebra is the mathematical statement of a pattern.
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Counting
Principles:
- one to one correspondence
- stable order (1…9)
- cardinal principle (last number counted tells how many in the set)
- abstraction (what it is possible to count e.g., number of people vs liquid in a glass)
- order irrelevance (left to right or right to left?)
Three types of numbers: cardinal(1, 2, 3…), ordinal(first, second, third…) and nominal(labels such as phone numbers or bus numbers: we do not operate on those numbers)
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