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Numeracy Features and Performance Strategies

Levels 1 - 5
Level 3
At each Level, information is provided about features and performance strategies which underpin the Indicators of Competence. This information is a guide for teachers in their consistent and reliable interpretation of Indicators of Competence. There are four sections: Meaning Making Strategies, Problem Solving Strategies, Mathematical Knowledge and Mathematical Representation. All four sections should be consulted.

other level 3 areas:
Indicators
  Conditions of Performance
Language and Literacy Features and Strategies
Sample Activities

Meaning-Making Strategies

Problem Solving Strategies

  Draws on a combination of hands-on (concrete) and real life materials, diagrams, language and symbols to derive mathematical meaning.

  Draws on personal experience, prior knowledge and mathematical knowledge within context to make predictions and check reasonableness.

  Reflects and questions by relating the mathematics to personal experience, prior knowledge, the experience and opinions of others.

  Clarifies intended meaning of activity by asking questions which go beyond repetition and rephrasing.

  Uses knowledge of mathematical concepts from first language to English, and uses bilingual dictionary for assistance with general and mathematical vocabulary.

 Uses a number of different pieces of mathematical information.

  Interprets information from texts, (e.g. plans, maps, newspaper articles and graphs, information fliers, etc.) where the necessary information is easily accessible.

  Uses a blend of personal "in-the-head" methods, pen and paper and calculator procedures.

  Begins to adapt prior experience and examples in the selection of appropriate and efficient methods of solution.

  Uses some approximation with reference to relevant experience to check that the outcome fits task or activity.

Mathematical Knowledge

Mathematical Representation

  Reads, writes and interprets decimal fractions and percentages.

  Uses everyday data to construct tables, graphs and charts.

  Interprets, compares and calculates with whole numbers and money.

  Calculates with fractions, decimal fractions and percentages, linking equivalent forms and using appropriate to context.

  Measures length, mass, capacity, time, temperature using common measuring instruments.

  Understands the interrelationship of units in the metric system.

  Uses distance, direction, coordinates, simple scales, labels, symbols and keys to read and use maps and plans.

  Develops knowledge of properties of two dimensional and three dimensional shapes,
(e.g. describes shapes in terms of properties such as angles, sides, etc.)

  Constructs simple three dimensional shapes from two dimensional nets, and vice versa.

  Comprehends activities or tasks which include limited formal mathematical symbolism, abbreviations and language, and some unfamiliar information which is culturally accessible.

  Uses symbolism and conventions relevant to the mathematical knowledge of the level, e.g. scale: 1:100, km per hr = km/hr, $/m.

  Uses a combination of oral and written mathematical and general language, some symbolism and diagrams to indicate the problem solving process and results.

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