Proficiency Strands

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Proficiency Strands by Mind Map: Proficiency Strands

1. Problem Solving

1.1. Develop ability to

1.1.1. make choices

1.1.2. interpret

1.1.3. formulate

1.1.4. model

1.1.5. investigate

1.1.6. communicate

1.2. Formulate and solve problems

1.2.1. represent unfamiliar

1.2.2. represent meaning

1.2.3. design investigation

1.2.4. plan their approaches

1.2.5. apply existing strategies

1.2.6. seek solutions

1.2.7. verify answers

2. Understanding

2.1. Knowledge of mathematical concepts

2.1.1. adaptable

2.1.2. transferable

2.2. Make connections

2.2.1. between related ideas

2.2.2. apply to new ideas

2.3. Develop understanding

2.3.1. why

2.3.2. how

2.4. Build understanding

2.4.1. connect related ideas

2.4.2. represent concepts in different ways

2.4.3. identify commonalities and differences

2.4.4. describe their thinking

2.4.5. interpret mathematical information

3. Reasoning

3.1. Develop for logical thought and action

3.1.1. analysing

3.1.2. proving

3.1.3. evaluating

3.1.4. explaining

3.1.5. inferring

3.1.6. jusifying

3.1.7. generalising

3.2. Reason mathematically when

3.2.1. explaining their thinking

3.2.2. justify strategy used

3.2.3. justify conclusions reached

3.2.4. adapt known to the unknown

3.2.5. transfer learning from one context to the other

3.2.6. prove something is true or false

3.2.7. compare and contrast related ideas

3.2.8. explain their choices

4. Fluency

4.1. Choosing appropriate procedures

4.2. Carrying out procedures

4.2.1. accurately

4.2.2. efficiently

4.2.3. appropriately

4.2.4. flexibly

4.3. Recalling

4.3.1. factual knowledge

4.3.2. concepts

4.4. Remain fluent under situations

4.4.1. calculating answers efficiently

4.4.2. manipulate expressions and equations

4.4.3. recall definitions

4.4.4. choose appropriate methods of approximations

4.4.5. recognise robust ways of answering questions