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Mathematics Proficiency Strands (Fluency (Choose appropriate procedures…
Mathematics Proficiency Strands
Understanding
Build robust knowledge
Adaptable and transferable mathematical concepts
Make connections
Progressively apply the familiar to develop new ideas
Related concepts
Build understanding
Represent concepts in different ways
Connect related ideas
Identify commonalities and differences between aspects of content
Describe thinking mathematically
Interpret mathematical information
Develop an understanding of the relationship between the 'why' and the 'how' of mathematics
Fluency
Recognise robust ways of answering questions
Calculate answers efficiently
Choose appropriate procedures
Carry out
procedures
Flexibly
Accurately
Efficiently
Appropriately
Recalling factual knowledge and concepts readily
Choose appropriate methods and approximations
Recall definitions and regularly use facts
Manipulate expressions and equations
Find Solutions
Problem Solving
Make choices
Problem situations
Interpret
Formulate
Model
Investigate
Communicate solutions effectively
Formulate and solve problems
Represent unfamiliar or meaningful situations
Design investigations and plan their approaches
Apply their existing strategies to seek solutions
Verify that their answers are reasonable
Reasoning
Capacity for logical thought and actions
Analysing
Proving
Evaluating
Explaining
Inferring
Justifying
Generalising
Reasoning mathematically
Explain thinking
Deduce and justify strategies used and conclusions reached
Adapt the known to the unknown
Transfer learning from one context to another
Prove that something is true or false
Compare and contrast related ideas and explain choices