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Purpose: To suggest possible content from school mathematics curricula with reference to six major mathematical activities identified as being pan-cultural.
Reference: 6
Counting:
Quantifiers (each, some, many, none); includes Adjectival number names, Finger and body counting, Tallying, Numbers, Place value, Zero, Base 10, Operations on numbers, Combinatorics, Accuracy, Approximation, Errors, Fractions, Decimals, Positives, Negatives, Infinitely large, small, Limit, Number patterns, Powers, Number relationships, Arrow diagrams, Algebraic representation, Events, Probabilities, Frequency representations
Location:
Prepositions, Route descriptions; includes Journeys (distance), Straight and curved lines, Angle as turning, Rotations, Systems of location: Polar coordinates; 2D/3D coordinates, Mapping, Latitude/longitude, Loci, Linkages, Circle, Ellipse, Vector, Spiral
Measuring:
Comparative quantifiers (e.g., faster, thinner); includes Accuracy of units, Estimation, Length, Area, Volume, Time, Temperature, Weight, Conventional [& customised] units, Standard [& non-standard] units, System of units (metric), Money, Compound units, also Capacity
Design:
Design, Abstraction, Shape, Form, Aesthetics; includes Similarity, Congruence, Properties of shapes, Common geometric shapes, figures and solids, Nets, Surfaces, Tessellations, Symmetry, Proportion, Ratio, Scale-model, Enlargements, Rigidity of shapes
Explaining:
Similarities, Classifications, Conventions; includes logical connectives,
Linguistic explanations: Logical arguments, Proofs
Symbolic explanations: Equation, Inequality, Algorithm, Function
Figural explanations: Graphs, Diagrams, Charts, Matrices
Mathematical modelling, Criteria: internal validity, external generalisability
Playing:
Games, Fun, Puzzles, Paradoxes; includes Modelling, Imagined reality, Rule-bound activity, Hypothetical reasoning, Procedures, Plans, Strategies
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