Numeracy & Early Counting
1. Stable word order
2. One to one
3. Cardinal
4. Order of Irrelevance
5. Abstract Principle
The Five Principles of Counting
A facile counting strategy where you recognise what is needed to form ten
What is Bridging to ten ?
a conceptual whole made up of parts
What is a composite unit?
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 is Level 1: Analysis
Before using standard units, children often measure things using “hand spans” or “footsteps.”
What are informal units?
A child who may know something about numbers, but can't count a collection of items
What is an Emergent Counter?
These manipulatives help children “see” tens and ones, supporting regrouping and decomposition
What are base 10 blocks?
Rows and columns represent multiplication in this method.
What is the array method?
A special type of quadrilateral that has sides that are all the same size, however it does not contain right angles
What is a Rhombus?
First → Identify the attribute, Second → Use informal units, Third → Use formal units, Fourth → Use large units (km, tonnes, ...)
What is the order of the Measurement Framework?
The study of numbers, shapes, and space using reason and usually a special system of symbols and rules for organising them
What is mathematics?
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
What is Place Value?
Using tools like counters or base 10 blocks to share objects into equal groups.
(looking for what are these tools called and what they are being used for here)
How can you use manipulatives to teach division?
Lines that cross at right angles
What is Perpendicular?
An attribute that expresses the size of a surface
What is area?
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 numeracy?
The process of carrying out arithmetic calculations without the aid of external devices.
It's all in your head, baby!
What is Mental computation?
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
The quality of being made up of exactly similar parts facing each other or around an axis
Symmetry?
The ability to determine that a certain quantity will remain the same despite adjustment to the container, shape or apparent size
What is the Principle of Conservation?
An early counting strategy where students reconstruct numbers relying on imagined units in their mind
What is Figurative Counting
Emergent, perceptual, figurative, counting on, flexible/ facile
What are the stages of the
Learning Progression sequence for Additive Strategies?
Concrete -> Pictorial -> Abstract
After students master sharing with manipulatives, teachers connect the process to written algorithms through this teaching sequence.
What is the CPA framework
Can be classified by their sides, angles, or symmetry.
Shapes
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.