Diagrammatic Representation of the Competency Classes

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Presentation transcript:

Diagrammatic Representation of the Competency Classes Mathematical literacy Reproduction and routine (no mathematisation) Mathematisation Standard Original and/or complex Competency Class One Standard representations and definitions Routine computations Routing procedures Routine problem solving Competency Class Two Modelling Standard problem solving Interpretation, reflection Multiple well-defined methods Competency Class Three Complex problem solving and posing Reflection and insight Original mathematical approach Multiple complex methods Generalisation Key words for this class: Standard problem solving (making connections and using integration) involving: reasoning, reflection, interpretation

Number, proportionality and operations Quantity Relationships between OECD/PISA 2003 Big Ideas and Curriculum Content Strands Curriculum strands NAEP PISA Big Ideas Number Number, proportionality and operations Quantity Measurement Geometry Geometry and spatial sense Space and shape Algebra Algebra and functions Change and relationships Functions Probability and statistics Data analysis, statistics and probability Uncertainty Statistics Discrete mathematics (not included) Space and Shape, and Change and relationships

Horizontal and Vertical Mathematisation Real-world problem Problem in mathematics world Mathematics world Real world Horizontal Mathematisation Problem structured and formalised Vertical Mathematisation