# Activities/Turtle Art/Tutorials

## Tutorials

### Tony Forster's Blog

Tony Forster has written a number of blog posts about his experiments with Turtle Art:

An bringing it all together, the Turtle Art Oscilloscope.

Tony has also used the programmable block to do file IO.

### Video Tutorials

I know there are a few but they are not categorized on this page... we'll make that happen soon. Help would be appreciated.

### Mokurai's Tutorials

Mokurai has been working on how to teach Sugar by guided discovery, rather than by explicit direction, with only the necessary minimum of hints. At the same time, he has been working on Turtle Art examples to teach concepts of mathematics, programming, Computer Science, and physics, aiming where possible at presentations suitable for pre-literate pre-schoolers. Thus, no text, no formulas, no calculations. Those can come later in sequences on the same topics as children develop, including a transition from Turtle Art to Python, Logo, and Smalltalk, with options for other languages. However, it is necessary to provide texts, sometimes with formulas and calculations, for the teacher or parent helping the child. These will appear on Mokurai's Replacing Textbooks blog, available at PlanetSugarlabs, and will be incorporated into Open Education Resources on the Sugar Labs Replacing Textbooks server.

Planned topics

Pre-school

• You be the Turtle
• Turtle Art programming without words (includes Mayan and other visual numerals)
• Spirograph
• Counting
• Mathematics and art
• Conservation of number
• Figurate numbers
• Elementary arithmetic with whole numbers (but no numerals)
• Shortcuts to the times table
• Abacus and Chisanpeop (abacus on fingers)
• Fractions with cake and pie slices
• Infinite sequences and series
• Groups of symmetries
• Permutations and permutation groups
• The ring of clock time
• The fields of rationals and reals
• Knots and braids (and knitting, crocheting, macramé, tatting...)
• Kindergarten Calculus (tangents, areas, maxima and minima...)
• Vectors
• Venn diagrams
• Euclid, Book I: triangles, parallelograms, squares
• Spherical geometry (Riemann)
• Pseudospherical geometry (Lobachevsky)
• Projective geometry
• Geometric optics
• Moiré patterns and interference
• Tilings
• Topology (Rubber-sheet geometry)
• Juggling
• The square circle and other metrics
• Periodic and almost-periodic functions (Lissajous figures)
• Maps
• Iterated functions (attractors, chaos)
• Fractals
• Stack programming
• Parse trees
• Probability
• Combinatorics
• Models of simple molecules
• Moving between Turtle Art and the physical world

Primary school

• Algorithms of arithmetic
• Numerals
• Learning math by teaching the computer
• Galilean gravity
• Galilean relativity
• Measuring slopes of tangents
• Approximate integrals
• Python blocks
• Transition to Python
• Turtle Graphics in Smalltalk
• Transition to Smalltalk
• Saving Turtle Art programs in Logo
• Transition to Logo
• Frieze groups
• 3D tilings and crystallographic groups
• Coordinate geometry, Cartesian and Polar
• Conditional probabilities
• Elementary statistics
• Models of complex molecules; nomenclature

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.

• The Chomsky hierarchy of machines and languages
• Algebra
• Trigonometry
• 3D coordinate geometry
• Elementary differential equations
• Electric and magnetic fields
• Algebraic structures
• Statistical analysis