The Democratic foundation established by the ancient Greeks

Abstract:  

Our integrated project blends the subjects of math and history.  Since two of our group members never bothered to show up these are the only two subjects we will be covering, with the two history majors focusing on religion and government respectively.  The math portion will focus on famous Greek mathematicians.  With the help of a special education major, we will alter the plan to cater to the needs of special needs students. 
   
I plan to use the week to explain how the ancient Greeks introduced a democratic form of government.  This was a revolutionary form of rule in a world of dictators and tyrants.  Throughout the week the class will learn about the origins of Greek democracy and its prominent figures.  We will then compare and contrast the Greek form of democracy to the one used in our own government.  We will also be discussing the possible reasons why democracy failed in Greece and if it seems possible for the United States to suffer the same fate.

Names and Majors of the Team Members:

Subjects Integrated:

Objectives:  

Rationale:  

    An integrated lesson plan is a vital learning tool for students.  It helps students to understand that key concepts can be carried from subject to subject.  It is also helpful in that students do not stop learning about a certain subject area when the bell rings.  A particular culture or idea can be carried on in the next class thus promoting a deeper understanding of the subject matter.

Unit Description 

Day One: The origins of democracy

Day Two: Popular Political Figures

Day Three: Comparing and Contrasting

Day Four: The failure of Greek democracy

Day Five: Could it happen to us?

Special Accommodations:  Recommended by Tom Witschi

Jose Gonzalez

The Mathematical Foundation that was Built by the Greeks

Abstract:

    I will introduce five famous mathematicians from Greek times.  Since we are doing a unit plan for a week, one figure per day should work.  The five I have selected are Pythagoras, Zeno of Elea, Aristotle, Diophantus of Alexandria, and Euclid.  It will not only be a mathematical view, but also a philosophical, and where possible, a political view.  On each day I will first talk about the life of each historical figure.  This will include places were they born and/or died, with whom they talked to, where and how they came up with the ideas that they are famous for and then dive into what their achievements mean for us today.  We will see how government played a role in situations such as with the fabled irrational crises, in which Pythagoras was killed because he was spreading the idea of the irrational number.  Finally I will assign a project in which the class will have to write a paper on a Greek mathematician who I did not cover.  I will either provide a list for the class or simply assign a person to each group.  I will set up groups of 2 or three, depending on class size.  For students who are visually impaired, I would blow up the any overhead used, and give them a copy of it.  If necessary I would get sheets that are done in brail.  If a student is gifted, I would have them try to figure out how a certain Greek mathematician came up with whatever idea without the use of calculators.  If a student has ADHD/BD I would try to have them develop a 5 minute play on their Greek mathematician.  If a student is deaf, I would have to rely on an interpreter, and give them copies of the notes.

Subject Integrated:

Objective:

After the lesson, students should be able to:

Rationale: 

Resources needed:

Unit Description:

Day one: Pythagoras

Day two: Zeno of Elea

We will discuss the ideas of Zeno.  Not only will we talk about a few of his paradoxes but also discuss what others have thought of his paradoxes.  Try to see if any students can solve these paradoxes, or simply see its errors.  Since all of Zeno’s work I written by Plato, we will also discuss the ideas he had and the problems he had with the government (history) and his ideas on education and life (English)     

Day three:  Aristotle 

We will discuss the ideas he had about the universe and the good he did.  He is also mentioned by Plato, so we will discuss his views on Aristotle.  We will discuss the arguments these two men had and the ideas each try to pass.  Also, I will introduce the idea of axioms and what they are.

Day four:  Diophantus of Alexandria

He is known as the father of algebra.  He wrote a book called Arithmetica. This book is a collection of 130 problems giving numerical solutions of determinate and indeterminate equations.  I will introduce determinates and show how to solve them. 

Day five: Euclid

Euclid is known for many things and I will touch on certain things.  He wrote a book called The Elements.  We will look into the reading including the definitions and five postulates he writes about.  We will see how these definitions and postulates have impacted the world of math to this day. 

List of Famous Ancient Greek Mathematicians

Anthemius
Antiphon
Apollonius
Archimedes
Archytas
Aristaeus
Aristotle
Autolycus of Pitane
Bryson
Callippus
Chrysippus
Cleomedes
Conon
Democritus
Dinostratus
Diocles
Dionysodorus
Diophantus
Domninus
Eratosthenes
Euclid
Eudemus of Rhodes
Eudoxus
Eutocius
Geminus
Heraclides of Pontus
Heron
Hipparchus
Hippias
Hippocrates
Hypatia
Hypsicles
Leucippus
Marinus of Neapolis
Menaechmus
Menelaus
Nicomachus
Nicomedes
Oenopides of Chios
Pappus
Perseus
Philon of Byzantium
Plato
Proclus
Ptolemy
Serenus
Simplicius
Thales
Theodosius
Theon of Alexandria
Theon of Smyrna
Thymaridas
Xenocrates

Brandon Schoenman

History: 

Objectives: 

After completing the unit, students will be able to: 

Rationale: 

This unit is important because it shows students how the religious aspect of ancient Greek society impacted civilization and is still impacting civilization. Students should possess some knowledge of the Greek gods because they are still prevalent in pop culture, and in such social aspects as the Olympic games. Greek civilization helped to shape human civilization and a major part of everyday life for the Greeks were the gods that they worshipped.

Resources needed: 

Unit description: 

Accommodations for Students with Special Needs: