Difference between revisions of "Sample Course Outline"

From EscherMath
Jump to navigationJump to search
 
(20 intermediate revisions by 2 users not shown)
Line 1: Line 1:
This is just one of many possible course outlines. The course outlined below was taught in 2004. This course met three times a week for 15 weeks.
+
<b>THIS PAGE SHOULD BE DELETED AS THERE ARE NOW COURSE OUTLINES FROM COURSES TAUGHT USING THIS WIKI</b>
  
{{unfinished}}
+
This is just one of many possible course outlines.
  
 +
A course very much like the one outlined below was taught in 2004.
 +
 +
This course met three times a week (50 minute sessions) for 15 weeks.
  
 
==Week 1 - Euclidean Geometry ==
 
==Week 1 - Euclidean Geometry ==
Line 9: Line 12:
 
* Do the [[Tessellations, a first look Exploration]]
 
* Do the [[Tessellations, a first look Exploration]]
 
* Read the [[Fundamental Concepts]] with special attention to triangles, quadrilaterals and convexity.
 
* Read the [[Fundamental Concepts]] with special attention to triangles, quadrilaterals and convexity.
 +
* [[Homework 1]]
  
 
== Week 2 - Symmetry ==
 
== Week 2 - Symmetry ==
Line 15: Line 19:
 
*[[Symmetric Figures Exploration]]
 
*[[Symmetric Figures Exploration]]
 
*[[Symmetry of Stars and Polygons Exploration]]
 
*[[Symmetry of Stars and Polygons Exploration]]
*[[Rotational and Reflectional Symmetry in Escher’s Prints]]
+
*[[Symmetry and Celtic Knots Exploration]]
*[[Celtic Art Exploration]]
 
  
 
* Read section [[Introduction to Symmetry]]       
 
* Read section [[Introduction to Symmetry]]       
Line 30: Line 33:
 
* Read Schattschneider page 34-52
 
* Read Schattschneider page 34-52
 
* Read [[Tessellations by Polygons]]
 
* Read [[Tessellations by Polygons]]
* [[Polynominoes Exploration]]
+
* [[Polyominoes Exploration]]
  
 
== Week 5 - Escher’s tessellation ==
 
== Week 5 - Escher’s tessellation ==
Line 59: Line 62:
 
* Another approach to an introduction is the [[Spherical Easel Exploration]].
 
* Another approach to an introduction is the [[Spherical Easel Exploration]].
 
* Further exploration: [[Spherical Geometry: Polygons]]
 
* Further exploration: [[Spherical Geometry: Polygons]]
 +
* Start working on homework assignment in class.
 
* Read the section on [[Spherical Geometry]]
 
* Read the section on [[Spherical Geometry]]
  
Line 68: Line 72:
  
 
== Week 11 - Non-Euclidean Geometry ==
 
== Week 11 - Non-Euclidean Geometry ==
Read [[The Three Geometries]]
+
* [[Hyperbolic Geometry with Noneuclid II Exploration]]
 +
* [[Comparison between the three geometries Exploration]]
 +
* Start working on homework assignment in class.
 +
* Read [[The Three Geometries]]
  
 
== Week 12 - Fractals ==
 
== Week 12 - Fractals ==
Exam 2
+
* Read [[Similarity Transformations]]
 +
* Do [[Self-Similarity : A first look]]
 +
* Do [[Self-Similarity Exploration]]
 +
* Exam 2
  
 
== Week 13 - Fractals, 2 and 3 dimensions ==
 
== Week 13 - Fractals, 2 and 3 dimensions ==
 +
 +
* Read [[Fractals]]
 +
* Do [[Escher Fractal Exploration]]
 +
* Do [[Fractal Dimension Exploration]]
 +
* Do [[Escher's Impossible Figures on the Internet Exploration]]
  
 
== Week 14 - The 4th dimension ==         
 
== Week 14 - The 4th dimension ==         
Thanksgiving Holiday - Days off
+
* Thanksgiving Holiday - Days off
+
* Read [[The Fourth Dimension]]
 +
* Read Flatland :
 +
** [http://www.alcyone.com/max/lit/flatland/ Flatland] or
 +
** [http://www.geom.uiuc.edu/~banchoff/Flatland/ Flatland] This site includes copies of the illustrations.
 +
* Do [[Flatland Exploration]]
  
 
== Week 15 - The 4th dimension ==
 
== Week 15 - The 4th dimension ==
 +
* Read [http://www.scifi.com/scifiction/classics/classics_archive/heinlein/heinlein1.html And he built a crooked house… ], Short story by Robert A. Heinlein

Latest revision as of 23:51, 28 August 2014

THIS PAGE SHOULD BE DELETED AS THERE ARE NOW COURSE OUTLINES FROM COURSES TAUGHT USING THIS WIKI

This is just one of many possible course outlines.

A course very much like the one outlined below was taught in 2004.

This course met three times a week (50 minute sessions) for 15 weeks.

Week 1 - Euclidean Geometry

Week 2 - Symmetry

Learn more about symmetry with:

Week 3 - Basic Tessellations

Week 4- More Tessellations

Week 5 - Escher’s tessellation

Week 6 - Border Patterns, Wallpaper Groups


Possible explorations:

Week 7 - Basilica visit and Project 1

Week 8 - Exam

  • Fall Break
  • Exam 1

Week 9 - Spherical Geometry

Week 10 - Hyperbolic Geometry

Week 11 - Non-Euclidean Geometry

Week 12 - Fractals

Week 13 - Fractals, 2 and 3 dimensions

Week 14 - The 4th dimension

Week 15 - The 4th dimension