Thales of Miletus

A WebQuest for 10th Grade Geometry Students

Designed by

Songül Bozyel
songulbozyel@gmail.com

Introduction | Task | Process | Evaluation


Introduction

Thales of Miletus... Yes, he is the one who derived that famous Thales' Theorem. Did he have a sudden thought or was he inspired by something? Here are two stories:

"Thales is looking at the Great Pyramid with Pharaoh Amasis and the abbot of the God Amon in an Egypt visit. For the purpose of humiliating Thales in the presence of pharaoh, the abbot challenges to Thales and asks: "How high is this pyramid?" Thales takes his scepter and thrusts it into sand at the point where the shadow of the pyramid finishes. After some basic calculations carried out on a stone tablet, Thales declares the height of the pyramid as 160 paces. The abbot and pharaoh are at a loss as to what to say or do."

"Miletus is a trading city lies along coast, and trade is carried out by ships. As soon as the ship is visible in the sea, it is important to estimate the time of ship's coming into harbor to adjust prices. Thales, as a merchant, takes two sticks nailed into a cross and goes to top of a tower. And he finds the distance between harbor and ship."

How did Thales found the height of the pyramid and the distance between the ship and harbor? Why the abbot wanted to humiliate him in the presence of pharaoh? Were there other studies of Thales which were annoyed people?


 


Task

Journey to Thales' world is beginning...

In the first part of your project: you'll prepare a biography of Thales of Miletus. This biography should include information at least about the place that Thales is from, his interests, the time period in which he lived, his interactions with his colleagues or students.

The second part of your project will include your explanations about how Thales found the height of the pyramid and the distance between the ship and harbor.

The third part of your project will focus on Thales' mathematics and in other professions, and these studies'importance and reflections in that time period and in later periods.


 


Process

Firstly, groups with 3 members will be assigned in the class. Groups will be free to share the parts of the project in preparation process. However, please pay attention to the fact that; it is responsibility of any member to know all parts.

The entire project will be completed in four weeks. At the second and the third weeks, we'll discuss your studies that you carried out outside of the class in the course. Dead line for submission of project repots is the class period at the fourth week. At the fifth week presentations of your projects will be started. You may choose any presentation way for your project.

Here are the suggested links to find related information for each part of your project:

Visit the following web sites to review information for biography part of your project:

  • Thales
  • Thales
  • Miletus
  • Miletus (Milet)
  • Thales of Miletus
  • Thales of Miletus
  • Thales of Miletus
  • Greek Philosophy
  • The Seven Sages of Greece - Thales
  • Thales of Miletus - A compendium of articles
  • The Lives and Opinions of Eminent Philosophers
  • Visit the following web sites to review information for your explanations in the second part of your project (Sometimes there will be graphical represantations as clues:

  • Shadows
  • Boat - Triangle
  • Thales Theorem
  • Thales' Theorem
  • Thales Theorem - Image
  • Thales Theorem - Image
  • Visit the following web sites to review information for your project's third part:

  • Thales
  • Thales of Miletus
  • Thales of Miletus
  • A Brief History of Clocks: From Thales to Ptolemy
  • Seven Sages - Thales
  • Thales of Miletus
  • Science and Human Values
  • Thales and Natural Causation

  •  


    Evaluation

    At the third week of your study, you will be asked to complete a peer evaluation form. Besides a group grade will be assigned by using the rubric given below. You can use this rubric as a checklist in preparation process of your subject.

    BeginningDevelopingAccomplishedExemplary
    Part 1 5 Points
    *Identity and brief information about who he is *No timeline
    10 Points
    *Details are supplied but may be irrelevant or focus is on physical descriptions *Timeline but sequence is out of order
    15 Points
    *He is described with supporting details *Timeline in sequence *Brief information about the place he lived
    20 Points
    *Descriptive identification and in depth exploration into his life *Timeline with details and in sequence *Appropriate integration of pictorial or graphical expressions
    Part 2 5 Points
    *Incomplete or incorrect explanation *Few or no details
    10 Points
    *Limited explanation *Some details are given but not clear
    15 Points
    *Complete explanation *No details about the steps used *No pictorial or graphical expression or irrelevant use of them
    20 Points
    *Complete explanation with detailed identification of the steps used *There is more than one explanation for each situation *Appropriate use of pictorial or graphical expressions *Details show excellent understanding
    Part 3 5 Points
    *Brief information about his studies *Few or no detail
    10 Points
    *Details are supplied but may be focused on only one area of his studies *No chronological order
    15 Points
    *Information about his studies in more than one area *There is chronological order *No examples, and no pictorial or graphical expression or irrelevant use of them
    20 Points
    *Information about his studies in more than one area with examples *Chronological order *Appropriate use of pictorial or graphical expressions *Details show excellent understanding

    Web Page by Songül Bozyel (e136215@metu.edu.tr)
    URL: www.metu.edu.tr/~e136215