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Line 85: + + + + + + + + + + + + + + + + + + + + + − * [[Activities/TurtleArt/Tutorials/Fractions|Fractions]] with cake, pie, and pizza slices − * [[Activities/TurtleArt/Tutorials/Groups_of_Symmetries|Groups of symmetries]] − * The fields of [[Activities/TurtleArt/Tutorials/Rational_Numbers|rationals]] and [[Activities/TurtleArt/Tutorials/Real_Numbers|reals]] − * [[Activities/TurtleArt/Tutorials/Knots|Knots]] and [[Activities/TurtleArt/Tutorials/Braids|braids]] (and knitting, crocheting, macramé, tatting...) − * [[Activities/TurtleArt/Tutorials/Kindergarten_Calculus|Kindergarten Calculus]] ([[Activities/TurtleArt/Tutorials/Tangents|tangents]], [[Activities/TurtleArt/Tutorials/Maxima|maxima]] and [[Activities/TurtleArt/Tutorials/Minima|minima]], [[Activities/TurtleArt/Tutorials/Areas|areas]]...) − * [[Activities/TurtleArt/Tutorials/Adding_Apples_and_Oranges|Adding apples and oranges]] − * [[Activities/TurtleArt/Tutorials/Pseudospherical_Geometry|Pseudospherical geometry]] (Lobachevsky) − * [[Activities/TurtleArt/Tutorials/Projective_Geometry|Projective geometry]] − * [[Activities/TurtleArt/Tutorials/Geometric_Optics|Geometric optics]] − * [[Activities/TurtleArt/Tutorials/Moiré_Patterns|Moiré patterns]] and interference − * [[Activities/TurtleArt/Tutorials/Tilings|Tilings]] − * [[Activities/TurtleArt/Tutorials/Topology|Topology]] (Rubber-sheet geometry) − * [[Activities/TurtleArt/Tutorials/Juggling|Juggling]] − * The [[Activities/TurtleArt/Tutorials/Square_Circle|square circle]] and other [[Activities/TurtleArt/Tutorials/Metrics|metrics]] − * [[Activities/TurtleArt/Tutorials/Periodic_Functions|Periodic]] and [[Activities/TurtleArt/Tutorials/Almost-Periodic_Functions|Almost-periodic functions]] (Lissajous figures) − * [[Activities/TurtleArt/Tutorials/Complex_Numbers|Complex Numbers]] Line 110:
Line 122: − * [[Activities/TurtleArt/Tutorials/Sensors and Actuators|Moving between Turtle Art and the physical world]] − − ''Primary school'' − − * [[Activities/TurtleArt/Tutorials/Algorithms_of_Arithmetic|Algorithms of arithmetic]] − * [[Activities/TurtleArt/Tutorials/Numerals|Numerals]] − * [[Activities/TurtleArt/Tutorials/Learning_Math_by_Teaching_the_Computer|Learning math by teaching the computer]] − * [[Activities/TurtleArt/Tutorials/Galilean_Gravity|Galilean gravity]] − * [[Activities/TurtleArt/Tutorials/Galilean_Relativity|Galilean relativity]] − * [[Activities/TurtleArt/Tutorials/Measuring_Slopes_of_tangents|Measuring slopes of tangents]] − * [[Activities/TurtleArt/Tutorials/Approximate_Integrals|Approximate integrals]] − * [[Activities/TurtleArt/Tutorials/Python_Blocks|Python blocks]] − * [[Activities/TurtleArt/Tutorials/Transition_to_Python|Transition to Python]] − * [[Activities/TurtleArt/Tutorials/Turtle_Art_Add-Ons|Create your own Turtle Art add-ons]] in Python − * [[Activities/TurtleArt/Tutorials/Turtle_Graphics_in_Smalltalk|Turtle Graphics in Smalltalk]] − * [[Activities/TurtleArt/Tutorials/Transition_to_Smalltalk|Transition to Smalltalk]] − * [[Activities/TurtleArt/Tutorials/Transition_to_Logo|Transition to Logo]] − * [[Activities/TurtleArt/Tutorials/Frieze_Groups|Frieze groups]] − * [[Activities/TurtleArt/Tutorials/3D_Tilings|3D tilings]] and crystallographic groups − * [[Activities/TurtleArt/Tutorials/Coordinate_Geometry|Coordinate geometry]], Cartesian and Polar − * [[Activities/TurtleArt/Tutorials/Conditional_Probabilities|Conditional probabilities]] − * [[Activities/TurtleArt/Tutorials/Elementary_Statistics|Elementary statistics]] − * Models of [[Activities/TurtleArt/Tutorials/Molecular_Structures|Molecular Structures]]; nomenclature Line 138:
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Activities/Turtle Art/Tutorials (view source)
Revision as of 17:32, 16 July 2011
, 17:32, 16 July 2011→Planned topics: Rearrange
====Planned topics====
====Planned topics====
''Primary school''
* [[Activities/TurtleArt/Tutorials/Numerals|Numerals]]
* [[Activities/TurtleArt/Tutorials/Kindergarten_Calculus|Kindergarten Calculus]] ([[Activities/TurtleArt/Tutorials/Tangents|tangents]], [[Activities/TurtleArt/Tutorials/Maxima|maxima]] and [[Activities/TurtleArt/Tutorials/Minima|minima]], [[Activities/TurtleArt/Tutorials/Areas|areas]]...)
* [[Activities/TurtleArt/Tutorials/Complex_Numbers|Complex Numbers]]
* [[Activities/TurtleArt/Tutorials/Adding_Apples_and_Oranges|Adding apples and oranges]]
* [[Activities/TurtleArt/Tutorials/Groups_of_Symmetries|Groups of symmetries]]
* [[Activities/TurtleArt/Tutorials/Figurate_Numbers|Figurate numbers]]
* [[Activities/TurtleArt/Tutorials/Figurate_Numbers|Figurate numbers]]
* [[Activities/TurtleArt/Tutorials/Spirograph|Spirograph]]
* [[Activities/TurtleArt/Tutorials/Spirograph|Spirograph]]
* [[Activities/TurtleArt/Tutorials/Elementary_Arithmetic|Elementary arithmetic]] with whole numbers (but no numerals)
* [[Activities/TurtleArt/Tutorials/Elementary_Arithmetic|Elementary arithmetic]] with whole numbers (but no numerals)
* [[Activities/TurtleArt/Tutorials/Shortcuts_to_the_Times_Table|Shortcuts to the times table]]
* [[Activities/TurtleArt/Tutorials/Shortcuts_to_the_Times_Table|Shortcuts to the times table]]
* [[Activities/TurtleArt/Tutorials/Fractions|Fractions]] with cake, pie, and pizza slices
* [[Activities/TurtleArt/Tutorials/Algorithms_of_Arithmetic|Algorithms of arithmetic]]
* [[Activities/TurtleArt/Tutorials/Learning_Math_by_Teaching_the_Computer|Learning math by teaching the computer]]
* [[Activities/TurtleArt/Tutorials/Knots|Knots]] and [[Activities/TurtleArt/Tutorials/Braids|braids]] (and knitting, crocheting, macramé, tatting...)
* [[Activities/TurtleArt/Tutorials/Galilean_Gravity|Galilean gravity]]
* [[Activities/TurtleArt/Tutorials/Galilean_Relativity|Galilean relativity]]
* [[Activities/TurtleArt/Tutorials/Measuring_Slopes_of_tangents|Measuring slopes of tangents]]
* [[Activities/TurtleArt/Tutorials/Approximate_Integrals|Approximate integrals]]
* [[Activities/TurtleArt/Tutorials/Python_Blocks|Python blocks]]
* [[Activities/TurtleArt/Tutorials/Transition_to_Python|Transition to Python]]
* [[Activities/TurtleArt/Tutorials/Turtle_Art_Add-Ons|Create your own Turtle Art add-ons]] in Python
* [[Activities/TurtleArt/Tutorials/Turtle_Graphics_in_Smalltalk|Turtle Graphics in Smalltalk]]
* [[Activities/TurtleArt/Tutorials/Transition_to_Smalltalk|Transition to Smalltalk]]
* [[Activities/TurtleArt/Tutorials/Transition_to_Logo|Transition to Logo]]
* [[Activities/TurtleArt/Tutorials/Frieze_Groups|Frieze groups]]
* [[Activities/TurtleArt/Tutorials/Moiré_Patterns|Moiré patterns]] and interference
* [[Activities/TurtleArt/Tutorials/Tilings|Tilings]]
* [[Activities/TurtleArt/Tutorials/Topology|Topology]] (Rubber-sheet geometry)
* [[Activities/TurtleArt/Tutorials/Juggling|Juggling]]
* The [[Activities/TurtleArt/Tutorials/Square_Circle|square circle]] and other [[Activities/TurtleArt/Tutorials/Metrics|metrics]]
* [[Activities/TurtleArt/Tutorials/Abacus|Abacus]], [[Activities/TurtleArt/Tutorials/Abacus/Chisanpeop|Chisanpeop]] (abacus on fingers), and [[Activities/TurtleArt/Tutorials/Visual_Numerals|visual numerals]]
* [[Activities/TurtleArt/Tutorials/Abacus|Abacus]], [[Activities/TurtleArt/Tutorials/Abacus/Chisanpeop|Chisanpeop]] (abacus on fingers), and [[Activities/TurtleArt/Tutorials/Visual_Numerals|visual numerals]]
* [[Activities/TurtleArt/Tutorials/Infinite_Sequences|Infinite sequences]] and [[Activities/TurtleArt/Tutorials/Infinite_Series|series]]
* [[Activities/TurtleArt/Tutorials/Infinite_Sequences|Infinite sequences]] and [[Activities/TurtleArt/Tutorials/Infinite_Series|series]]
* [[Activities/TurtleArt/Tutorials/Permutations|Permutations]] and [[Activities/TurtleArt/Tutorials/Permutation_Groups|permutation groups]]
* [[Activities/TurtleArt/Tutorials/Permutations|Permutations]] and [[Activities/TurtleArt/Tutorials/Permutation_Groups|permutation groups]]
* The ring of [[Activities/TurtleArt/Tutorials/Clock_Time|clock time]]
* The ring of [[Activities/TurtleArt/Tutorials/Clock_Time|clock time]]
* [[Activities/TurtleArt/Tutorials/Vectors|Vectors]]
* [[Activities/TurtleArt/Tutorials/Vectors|Vectors]]
* [[Activities/TurtleArt/Tutorials/Venn_Diagrams|Venn diagrams]]
* [[Activities/TurtleArt/Tutorials/Venn_Diagrams|Venn diagrams]]
* [[Activities/TurtleArt/Tutorials/Euclid|Euclid]], Book I: triangles, parallelograms, squares
* [[Activities/TurtleArt/Tutorials/Euclid|Euclid]], Book I: triangles, parallelograms, squares
* [[Activities/TurtleArt/Tutorials/Spherical_Geometry|Spherical geometry]] (Riemann)
* [[Activities/TurtleArt/Tutorials/Spherical_Geometry|Spherical geometry]] (Riemann)
* [[Activities/TurtleArt/Tutorials/Maps|Maps]]
* [[Activities/TurtleArt/Tutorials/Maps|Maps]]
* [[Activities/TurtleArt/Tutorials/Iterated_Functions|Iterated functions]] (attractors, chaos)
* [[Activities/TurtleArt/Tutorials/Iterated_Functions|Iterated functions]] (attractors, chaos)
* [[Activities/TurtleArt/Tutorials/Fractals|Fractals]]
* [[Activities/TurtleArt/Tutorials/Fractals|Fractals]]
* [[Activities/TurtleArt/Tutorials/Combinatorics|Combinatorics]]
* [[Activities/TurtleArt/Tutorials/Combinatorics|Combinatorics]]
* [[Activities/TurtleArt/Tutorials/Models_of_Simple_Molecules|Models of simple molecules]]
* [[Activities/TurtleArt/Tutorials/Models_of_Simple_Molecules|Models of simple molecules]]
''Higher''
''Higher''
At this level it is not necessary to use Turtle Art_to_introduce ideas. Nevertheless the ability to display a topic in Turtle Art demonstrates that it is of only a moderate level of complexity.
At this level it is not necessary to use Turtle Art_to_introduce ideas. Nevertheless the ability to display a topic in Turtle Art demonstrates that it is of only a moderate level of complexity.
* [[Activities/TurtleArt/Tutorials/Trigonometry|Trigonometry]]
* The [[Activities/TurtleArt/Tutorials/Chomsky_Hierarchy|Chomsky_hierarchy of machines and languages]]
* The [[Activities/TurtleArt/Tutorials/Chomsky_Hierarchy|Chomsky_hierarchy of machines and languages]]
** [[Activities/TurtleArt/Tutorials/Finite_State_Machine|Finite state machine/automaton]]
** [[Activities/TurtleArt/Tutorials/Finite_State_Machine|Finite state machine/automaton]]
** [[Activities/TurtleArt/Tutorials/Activities/TurtleArt/Tutorials/Turtle_Art_Turing_Machine|Turtle Art Turing Machine]]
** [[Activities/TurtleArt/Tutorials/Activities/TurtleArt/Tutorials/Turtle_Art_Turing_Machine|Turtle Art Turing Machine]]
* [[Activities/TurtleArt/Tutorials/Algebra|Algebra]] (Solving equations; structures (groups, rings, fields,...)
* [[Activities/TurtleArt/Tutorials/Algebra|Algebra]] (Solving equations; structures (groups, rings, fields,...)
* [[Activities/TurtleArt/Tutorials/3D_Coordinate_Geometry|3D coordinate geometry]]
* [[Activities/TurtleArt/Tutorials/3D_Coordinate_Geometry|3D coordinate geometry]]
* [[Activities/TurtleArt/Tutorials/Elementary_Differential_Equations|Elementary differential equations]]
* [[Activities/TurtleArt/Tutorials/Elementary_Differential_Equations|Elementary differential equations]]
* [[Activities/TurtleArt/Tutorials/Algebraic_Structures|Algebraic structures]]
* [[Activities/TurtleArt/Tutorials/Algebraic_Structures|Algebraic structures]]
* [[Activities/TurtleArt/Tutorials/Statistical_Analysis|Statistical analysis]]
* [[Activities/TurtleArt/Tutorials/Statistical_Analysis|Statistical analysis]]
* Models of [[Activities/TurtleArt/Tutorials/Molecular_Structures|Molecular Structures]]; nomenclature
* [[Activities/TurtleArt/Tutorials/3D_Tilings|3D tilings]] and crystallographic groups
* [[Activities/TurtleArt/Tutorials/Coordinate_Geometry|Coordinate geometry]], Cartesian and Polar
* [[Activities/TurtleArt/Tutorials/Conditional_Probabilities|Conditional probabilities]]
* [[Activities/TurtleArt/Tutorials/Elementary_Statistics|Elementary statistics]]
* The fields of [[Activities/TurtleArt/Tutorials/Rational_Numbers|rationals]] and [[Activities/TurtleArt/Tutorials/Real_Numbers|reals]]
* [[Activities/TurtleArt/Tutorials/Pseudospherical_Geometry|Pseudospherical geometry]] (Lobachevsky)
* [[Activities/TurtleArt/Tutorials/Projective_Geometry|Projective geometry]]
* [[Activities/TurtleArt/Tutorials/Geometric_Optics|Geometric optics]]
* [[Activities/TurtleArt/Tutorials/Periodic_Functions|Periodic]] and [[Activities/TurtleArt/Tutorials/Almost-Periodic_Functions|Almost-periodic functions]] (Lissajous figures)
* [[Activities/TurtleArt/Tutorials/Sensors and Actuators|Moving between Turtle Art and the physical world]]