Numeracy
Operational Domains:Addition and Subtraction, Multiplication and Division and Proportions and Ratios
It is important for students to have a strong knowledge base as it is essential for students to broaden their strategies across a full range of numbers, and knowledge is often an essential prerequisite for the development of more advanced strategies.
Knowledge provides the foundation for strategies and strategy creates new knowledge through use.
Stage 5 : Early Additive
At this stage, students have begun to recognise that numbers are abstract units that can be treated simultaneously as wholes or can be partitioned and recombined. This is called part-whole thinking.
A characteristic of this stage is the derivation of results from related known facts, such as finding addition answers by using doubles or teen numbers.The strategies that these students commonly use can be represented in various ways, such as empty number lines, number strips, arrays, or ratio tables.
A characteristic of this stage is the derivation of results from related known facts, such as finding addition answers by using doubles or teen numbers.The strategies that these students commonly use can be represented in various ways, such as empty number lines, number strips, arrays, or ratio tables.
Stage 6: Advanced Additive Part-Whole
Students at this stage are learning to choose appropriately from a repertoire of part-whole strategies to solve and estimate the answers to addition and subtraction problems. They see numbers as whole units in themselves but also understand that a within these units is a range of possibilities for subdivision and recombining.Simultaneously, the efficiency of these students in addition and subtraction is reflected in their ability to derive multiplication answers from known facts. These students can also solve fraction problems using a combination of multiplication and addition-based reasoning.