Numeracy & Early Counting
What is the order of the Five Principles of Counting?
1. Stable word order
2. One to one
3. Cardinal
4. Order of Irrelevance
5. Abstract Principle
What is Bridging to ten ?
A facile counting strategy where you recognise what is needed to form ten
What is a composite unit?
a conceptual whole made up of parts
What is Level 1: Analysis
The Van Hiele level where a child focuses on the combination of parts of a shape, like sides, lengths and angles, but the parts are not related
What are informal units?
Before using standard units, children often measure things using “hand spans” or “footsteps.”
What is an Emergent Counter?
A child who may know something about numbers, but can't count a collection of items
What is the purpose of base 10 blocks?
These manipulatives help children “see” tens and ones, supporting regrouping and decomposition
What is the array method?
Rows and columns represent multiplication in this method.
What is a Rhombus?
A special type of quadrilateral that has sides that are all the same size, however it does not contain right angles
What is the order of the Measurement Framework?
First → Identify the attribute, Second → Use informal units, Third → Use formal units, Fourth → Use large units (km, tonnes, ...)
What is mathematics?
Is the study of numbers, shapes, and space using reason and usually a special system of symbols and rules for organising them
What is Place Value?
A number concept that is essential to counting very large and very small numbers, which can be aided through experiences with base ten manipulative and bundling, trading and regrouping activities
How can you use manipulatives to teach division?
What is Perpendicular?
Lines that cross at right angles
What is area?
An attribute that expresses the size of a surface
What is numeracy?
Encompasses the knowledge, skills, behaviours and dispositions that students need to use mathematics in a wide range of situations. It involves students recognising and understanding the role of mathematics in the world and having the dispositions and capacities to use mathematical knowledge and skills purposefully
What is Mental compuation?
The process of carrying out arithmetic calculations without the aid of external devices
What is the sequence we take children through to learn multiplication and division (Numeracy Progressions)?
MuS1 → Forming equal groups, MuS2 → Perceptual multiples, MuS3 → Figurative (imagined units), MuS4 → Repeated abstract composite units, MuS5 → Coordinating composite units
What is symmetry?
The quality of being made up of exactly similar parts facing each other or around an axis
What is the Principle of Conservation?
The ability to determine that a certain quantity will remain the same despite adjustment to the container, shape or apparent size
What is Figurative Counting
An early counting strategy where students reconstruct numbers relying on imagined units in their mind
What are the stages of the Learning Progression sequence for Additive Strategies?
Emergent, perceptual, figurative, counting on, flexible/ facile
What is the CPA framework
After students master sharing with manipulatives, teachers connect the process to written algorithms through this teaching sequence.
What is Shape Classification?
Shapes can be classified by their sides, angles, or symmetry.
Why do you need to convert lengths?
For example in this question:
You measure a desk as 1.2 m long and a table as 85 cm long.
Converting both lengths to the same unit ensures your comparison is accurate and meaningful.