reflections-math.html

Lewis Carroll

The Math Page

Week One

Focus: Lewis Carroll's Literary Style - Boolean Logic

Objective: Students will be able to identify and use Boolean operators in internet searchs and mathematical logic problems.

Task:

Lewis Carroll's Mathematics
Research on George Boole, Boolean Logic, and Logical operators using internet and library resources
In-class discussion of Boolean Logic and uses in the modern world - internet searches, electronic circuitry, etc
In-class discussion and lecture on logical operators
In-class presentation on internet searching
Student perform an internet search and research for Lewis Carroll

Final project: Students will choose from different options (Carroll's logic, artistic works, literary works, or Boolean logic) to present the results of their internet research.

Resources:

Lewis Carroll's Mathematics and Logic

http://www.lewiscarroll.org/logic.html Lewis Carroll Logician and Mathematician

George Boole Biography Links

http://www-stall.rz.fht-esslingen.de/studentisches/Computer_Geschichte/grp2/boole.html

http://www.pronet.net.au/~kerry/boole.htm

http://graphicscity.intergraph.com/articles/9710/history/ref/1847ad.htm

http://www.digitalcentury.com/encyclo/update/boole.html

Boolean Logic Links

http://www.epnet.com/eptech/userdoc/tutorial/web/boolean.htm

http://www.pronet.net.au/~kerry/boolean.htm

http://www.ece.utexas.edu/~jharper/index2.html

Boolean Algebra Links

http://www.astro.virginia.edu/~eww6n/math/BooleanAlgebra.html

http://www.realtime-info.be/encyc/techno/terms/97/10.htm

http://www.sti.nasa.gov/thesaurus/B/word1747.html

Internet Search Links

http://www.colosys.net/search/ Web Search Cheat Sheet - Tips for several search engines

http://www.windweaver.com/searchtools.htm Search engine description and uses

http://www.hamline.edu/library/bush/handouts/comparisons.html Comparison of search engines

http://www.kcpl.lib.mo.us/search/srchengines.htm Introduction to search engines and Feature Comparison Chart

http://www.washingtonpost.com/wp-srv/interact/longterm/safari/compass/compass.htm Description of search engines and links to each engine.

http://www.unn.ac.uk/features.htm Comparison of search engines

Week Two

Focus: Lewis Carroll's Artistic Style - Geometry and Trigonometry

Objective: Students will be able to identify and construct geometric figures as exhibited in Lewis Carroll's and other art work.

Task:

Introduction to geometry and trigonometry
In-class discussion and lecture on geometric shapes and relationships (Geometer Sketch Pad)
In-class discussion of angles and angle relationships to geopmetric figures
In-class development of 3-D geometric figures
Internet and library research of Carroll's photographic and artistic works

Final project: Students will prepare a written report relating Carroll's artistic work to geometery or trigonometry. (Alternate final project - develop a web page relating one of Carroll's artistic works to geometry or trigonometry.)

Resources:

Geometry Links

http://www.geom.umn.edu/welcome.html Geometry Center

http://www.ics.uci.edu/~eppstein/junkyard/topic.html Geometry Junkyard

http://forum.swarthmore.edu/geometry/k12.geometry.html Math Forum K-12 Geometry

http://www.li.net/~george/virtual-polyhedra/vp.html Virtual Polyhedra

http://www.keypress.com/sketchpad/index.html Geometer Sketchpad Index

Trigonometry Links

http://www.sisweb.com/math/tables.htm Dave's Math Tables and Resource Page

http://cyberschool.4j.lane.edu/People/Faculty/PaulsonA/APCalculus/Chap.1-3/ch1/section3_4.html Trig Review

http://utrao.as.utexas.edu/ast307/sphertrig/trig.html Spherical Trigonometry

Carroll's and Other's Artistic Works

http://www.lewiscarroll.org/photo.html Carroll's Photography

http://www.rust.net/~kdonohue/alice2.html#photographs Photographs and Illustrations

http://www.people.virginia.edu/~bhs2u/carroll/dodgson.html Dodgson the Photographer

http://www.geom.umn.edu/graphics/pix/General_Interest/Fractals/ computer generated fractals

http://www.zianet.com/jmateo/ArtState.htm Julio Mateo Geometric Art

http://www.geom.umn.edu/graphics/pix/General_Interest/Digital_Art/ Geometric Art - Digital

Week Three

Continuity with logic puzzles. Study mathematic logical puzzles. Students will be developing their own puzzles as well this week.

Focus: Lewis Carroll's Puzzling Style - Mathematical and Logical Puzzles

Objective: Students will be able to discribe the methodology and systems associated with solutions to matematical and logic puzzles.

Task:

Introduction to mathematical and logical puzzles
In-class discussion and lecture on mathematical and logical puzzles
In-class project to solve a Carroll mathematical or logical puzzle
In-class development of original mathematical or logical puzzle
In-class project to solve other students puzzles

Final project: Students will present their mathematical or logical puzzle to the class. Presentation should include the solution and reasoning behind their solution.

Resources:

Logical Puzzles Links

http://thinks.com/puzzles/carroll/carroll.htm Classic Puzzles by Lewis Carroll

http://home.earthlink.net/~lfdean/carroll/puzzles/puzzles.html Puzzles from wonderland

http://home.earthlink.net/~lfdean/carroll/puzzles/logic.html Carroll Logical Puzzles

http://www.cut-the-knot.com/LewisCarroll/tridiagram.html Carroll Trilateral Diagrams

http://stud1.tuwien.ac.at/~e9226344/Themes/Puzzles/logic.html The Sphinx Logical Puzzles and solutions

Mathematical Puzzles and Problems Links

http://stud1.tuwien.ac.at/~e9226344/Themes/Puzzles/math.html The Sphinx Mathematical Puzzles and solutions

http://bradley.bradley.edu/~delgado/potw/potw.html Bradley University Puzzle of the week

http://pegasus.cc.ucf.edu/~mathed/problem.html University of Central Florida, The casio classroom

http://mailer.fsu.edu/~ssproule/pow.htm Problem of the Week Index