10 - Mathematics Flashcards
What is numerical equality? (Mathematics Developmental)
The realisation that all sets of objects could have something in common
What does infant competence reflex? (Mathematics Developmental)
Perceptual, rather than arrhythmic, ability
What is stabilising? (Mathematics Developmental)
The ability to look at a group of objects and estimate how many there are
What are the 4 basic principles of counting? (Mathematics Developmental)
- Stable order
- Cardinality
- Order irrelevance
- Abstraction
What is stable order? (Mathematics Developmental)
Always reciting numbers in the same order
What is cardinality? (Mathematics Developmental)
The number you stop at is the number you have
What is order irrelevance? (Mathematics Developmental)
The order doesn’t matter as long as you don’t sample with replacement
What is abstraction? (Mathematics Developmental)
Count anything
What is the balance scale problem? What is ? (Mathematics Developmental)
4 Stage model of problem solving
What do preschoolers notice about the balance scale problem? (Mathematics Developmental)
The weights on each side (ignoring the distance)
What do school children notice about the balance scale problem? (Mathematics Developmental)
Focus on the weight, except when weights on both sides are equal
What do adolescence notice about the balance scale problem? (Mathematics Developmental)
Consider the weight and distance on both sides
What do adults notice about the balance scale problem? (Mathematics Developmental)
Concept of torque (longer the lever, the less weight is needed)
What is overlapping waves theory? (Mathematics Developmental)
- Children use multiple strategies to solve problems
- Advanced strategies come with age/experience
- Development involves change in the current strategies and development of new strategies
In what 3 ways does variability contribute to cognitive growth? (Mathematics Developmental)
1) Related problems
2) Same problem twice
3) Same single trial
