ACM Proficiency Strands

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ACM Proficiency Strands by Mind Map: ACM Proficiency Strands

1. Understanding

1.1. Build knowledge

1.1.1. Adaptable mathematical concepts

1.1.2. Transferable mathematical concepts

1.2. Make connections between related concepts

1.3. Progressively apply the familiar to develop new ideas.

1.4. Understand relationships

1.4.1. Why of mathematics

1.4.2. How of mathematics

1.5. Build understanding

1.5.1. Connect related ideas

1.5.2. Represent concepts in different ways

1.5.3. Identify commonalities and differences between aspects of content

1.5.4. Describe their thinking mathematically.

1.5.5. Interpret mathematical information.

2. Problem Solving

2.1. Problem situations

2.1.1. Make choices

2.1.2. Interpret

2.1.3. Formulate

2.1.4. Model

2.1.5. Investigate

2.1.6. Communicate solutions effectively

2.2. Formulate and solve problems

2.2.1. Use mathematics to represent unfamiliar or meaningful situations.

2.2.2. Design investigations and plan their approaches.

2.2.3. Apply their existing strategies to seek solutions.

2.2.4. Verify their answers are reasonable.

3. Fluency

3.1. Choose appropriate procedures

3.2. Carry out procedures

3.2.1. Flexibly

3.2.2. Accurately

3.2.3. Efficiently

3.2.4. Appropriately

3.3. Readily recall

3.3.1. Factual knowledge

3.3.2. Factual concepts

3.3.3. Definitions

3.4. Calculate answers efficiently

3.5. Recognise robust ways of answering questions

3.6. Choose appropriate

3.6.1. Methods

3.6.2. Approximations

3.7. Regularly use facts

3.8. Manipulate expressions and equations to find solutions

4. Reasoning

4.1. Develop an increasingly sophisticated capacity for logical thought and actions.

4.1.1. Analysing

4.1.2. Proving

4.1.3. Evaluating

4.1.4. Explaining

4.1.5. Inferring

4.1.6. Justifying

4.1.7. Generalising

4.2. Explain their thinking

4.3. Deduce and justify strategies used and conclusions reached.

4.4. Adapt the known to the unknown.

4.5. Transfer learning from one context to another.

4.6. Prove that something is true or false.

4.7. Compare and contrast related ideas and explain their choices.