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Activities/Turtle Art/Tutorials (view source)
Revision as of 01:25, 14 July 2011
, 01:25, 14 July 2011→Planned topics: Add links
====Planned topics====
====Planned topics====
* [[Activities/TurtleArt/Tutorials/Figurate_Numbers|Figurate numbers]]
* [[Activities/TurtleArt/Tutorials/Spirograph|Spirograph]]
* [[Figurate numbers]]
* [[Activities/TurtleArt/Tutorials/Conservation_of_Number|Conservation of number]]
* Spirograph
* [[Activities/TurtleArt/Tutorials/Elementary_Arithmetic|Elementary arithmetic]] with whole numbers (but no numerals)
* Conservation of number
* [[Activities/TurtleArt/Tutorials/Shortcuts_to_the_Times_Table|Shortcuts to the times table]]
* Elementary arithmetic with whole numbers (but no numerals)
* [[Activities/TurtleArt/Tutorials/Abacus|Abacus]] and [[Activities/TurtleArt/Tutorials/Chisanpeop|Chisanpeop]] (abacus on fingers)
* Shortcuts to the times table
* [[Activities/TurtleArt/Tutorials/Fractions|Fractions]] with cake, pie, and pizza slices
* Abacus and Chisanpeop (abacus on fingers)
* [[Activities/TurtleArt/Tutorials/Infinite_Sequences|Infinite sequences]] and [[Activities/TurtleArt/Tutorials/Infinite_Series|series]]
* Fractions with cake and pie slices
* [[Activities/TurtleArt/Tutorials/Groups_of_Symmetries|Groups of symmetries]]
* Infinite sequences and series
* [[Activities/TurtleArt/Tutorials/Permutations|Permutations]] and [[Activities/TurtleArt/Tutorials/Permutation_Groups|permutation groups]]
* Groups of symmetries
* The ring of [[Activities/TurtleArt/Tutorials/Clock_Time|clock time]]
* Permutations and permutation groups
* The fields of [[Activities/TurtleArt/Tutorials/Rational_Numbers|rationals]] and [[Activities/TurtleArt/Tutorials/Real_Numbers|reals]]
* The ring of clock time
* [[Activities/TurtleArt/Tutorials/Knots|Knots]] and [[Activities/TurtleArt/Tutorials/Braids|braids]] (and knitting, crocheting, macramé, tatting...)
* The fields of rationals and reals
* [[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]]...)
* Knots and braids (and knitting, crocheting, macramé, tatting...)
* [[Activities/TurtleArt/Tutorials/Adding_Apples_and_Oranges|Adding apples and oranges]]
* Kindergarten Calculus (tangents, areas, maxima and minima...)
* [[Activities/TurtleArt/Tutorials/Vectors|Vectors]]
* Adding Apples and Oranges
* [[Activities/TurtleArt/Tutorials/Venn_Diagrams|Venn diagrams]]
* Vectors
* [[Activities/TurtleArt/Tutorials/Euclid|Euclid]], Book I: triangles, parallelograms, squares
* Venn diagrams
* [[Activities/TurtleArt/Tutorials/Spherical_Geometry|Spherical geometry]] (Riemann)
* Euclid, Book I: triangles, parallelograms, squares
* [[Activities/TurtleArt/Tutorials/Pseudospherical_Geometry|Pseudospherical geometry]] (Lobachevsky)
* Spherical geometry (Riemann)
* [[Activities/TurtleArt/Tutorials/Projective_Geometry|Projective geometry]]
* Pseudospherical geometry (Lobachevsky)
* [[Activities/TurtleArt/Tutorials/Geometric_Optics|Geometric optics]]
* Projective geometry
* [[Activities/TurtleArt/Tutorials/Moiré_Patterns|Moiré patterns]] and interference
* Geometric optics
* [[Activities/TurtleArt/Tutorials/Tilings|Tilings]]
* Moiré patterns and interference
* [[Activities/TurtleArt/Tutorials/Topology|Topology]] (Rubber-sheet geometry)
* Tilings
* [[Activities/TurtleArt/Tutorials/Juggling|Juggling]]
* Topology (Rubber-sheet geometry)
* The [[Activities/TurtleArt/Tutorials/Square_Circle|square circle]] and other [[Activities/TurtleArt/Tutorials/Metrics|metrics]]
* Juggling
* [[Activities/TurtleArt/Tutorials/Periodic_Functions|Periodic]] and [[Activities/TurtleArt/Tutorials/Almost-Periodic_Functions|Almost-periodic functions]] (Lissajous figures)
* The square circle and other metrics
* [[Activities/TurtleArt/Tutorials/Maps|Maps]]
* Periodic and almost-periodic functions (Lissajous figures)
* [[Activities/TurtleArt/Tutorials/Complex_Numbers|Complex Numbers]]
* Maps
* [[Activities/TurtleArt/Tutorials/Iterated_Functions|Iterated functions]] (attractors, chaos)
* Iterated functions (attractors, chaos)
* [[Activities/TurtleArt/Tutorials/Fractals|Fractals]]
* Fractals
* [[Activities/TurtleArt/Tutorials/Stack_Programming|Stack programming]]
* Stack programming
* [[Activities/TurtleArt/Tutorials/Parse_Trees|Parse trees]]
* Parse trees
* [[Activities/TurtleArt/Tutorials/Probability|Probability]]
* Probability
* [[Activities/TurtleArt/Tutorials/Combinatorics|Combinatorics]]
* Combinatorics
* [[Activities/TurtleArt/Tutorials/Models_of_Simple_Molecules|Models of simple molecules]]
* Models of simple molecules
* [[Activities/TurtleArt/Tutorials/Sensors and Actuators|Moving between Turtle Art and the physical world]]
* Moving between Turtle Art and the physical world
''Primary school''
''Primary school''
* Algorithms of arithmetic
* [[Activities/TurtleArt/Tutorials/Algorithms_of_Arithmetic|Algorithms of arithmetic]]
* Numerals
* [[Activities/TurtleArt/Tutorials/Numerals|Numerals]]
* Learning math by teaching the computer
* [[Activities/TurtleArt/Tutorials/Learning_Math_by_Teaching_the_Computer|Learning math by teaching the computer]]
* Galilean gravity
* [[Activities/TurtleArt/Tutorials/Galilean_Gravity|Galilean gravity]]
* Galilean relativity
* [[Activities/TurtleArt/Tutorials/Galilean_Relativity|Galilean relativity]]
* Measuring slopes of tangents
* [[Activities/TurtleArt/Tutorials/Measuring_Slopes_of_tangents|Measuring slopes of tangents]]
* Approximate integrals
* [[Activities/TurtleArt/Tutorials/Approximate_Integrals|Approximate integrals]]
* Python blocks
* [[Activities/TurtleArt/Tutorials/Python_Blocks|Python blocks]]
* Transition to Python
* [[Activities/TurtleArt/Tutorials/Transition_to_Python|Transition to Python]]
* Create your own Turtle Art add-ons in Python
* [[Activities/TurtleArt/Tutorials/Turtle_Art_Add-Ons|Create your own Turtle Art add-ons]] in Python
* Turtle Graphics in Smalltalk
* [[Activities/TurtleArt/Tutorials/Turtle_Graphics_in_Smalltalk|Turtle Graphics in Smalltalk]]
* Transition to Smalltalk
* [[Activities/TurtleArt/Tutorials/Transition_to_Smalltalk|Transition to Smalltalk]]
* Saving Turtle Art programs in Logo
* [[Activities/TurtleArt/Tutorials/Transition_to_Logo|Transition to Logo]]
* [[Activities/TurtleArt/Tutorials/Frieze_Groups|Frieze groups]]
* Frieze groups
* [[Activities/TurtleArt/Tutorials/3D_Tilings|3D tilings]] and crystallographic groups
* 3D tilings and crystallographic groups
* [[Activities/TurtleArt/Tutorials/Coordinate_Geometry|Coordinate geometry]], Cartesian and Polar
* Coordinate geometry, Cartesian and Polar
* [[Activities/TurtleArt/Tutorials/Conditional_Probabilities|Conditional probabilities]]
* Conditional probabilities
* [[Activities/TurtleArt/Tutorials/Elementary_Statistics|Elementary statistics]]
* Elementary statistics
* Models of [[Activities/TurtleArt/Tutorials/Molecular_Structures|Molecular Structures]]; nomenclature
* Models of complex molecules; nomenclature
''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.
* The Chomsky hierarchy of machines and languages
* The [[Activities/TurtleArt/Tutorials/Chomsky_Hierarchy|Chomsky_hierarchy of machines and languages]]
** Finite state machine/automaton
** [[Activities/TurtleArt/Tutorials/Finite_State_Machine|Finite state machine/automaton]]
** Stack machine or pushdown automaton
** [[Activities/TurtleArt/Tutorials/Stack_Machine|Stack machine or pushdown automaton]]
** Bounded linear automaton
** [[Activities/TurtleArt/Tutorials/Bounded_Linear_Automaton|Bounded linear automaton]]
** [[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]]
* Algebra
* [[Activities/TurtleArt/Tutorials/Algebra|Algebra]] (Solving equations; structures (groups, rings, fields,...)
* Trigonometry
* [[Activities/TurtleArt/Tutorials/Trigonometry|Trigonometry]]
* 3D coordinate geometry
* [[Activities/TurtleArt/Tutorials/3D_Coordinate_Geometry|3D coordinate geometry]]
* Elementary differential equations
* [[Activities/TurtleArt/Tutorials/Elementary_Differential_Equations|Elementary differential equations]]
* Electric and magnetic fields
* [[Activities/TurtleArt/Tutorials/Electric_and_Magnetic_Fields|Electric and magnetic fields]]
* Algebraic structures
* [[Activities/TurtleArt/Tutorials/Algebraic_Structures|Algebraic structures]]
* Statistical analysis
* [[Activities/TurtleArt/Tutorials/Statistical_Analysis|Statistical analysis]]