Teachers Lesson Plans
Seeing Math in Art
25000 BCE Early geometric designs used and found in archaeological references
5000 BCE Egyptians use decimals and geometry for surveying, engineering, agriculture
3400 BCE Symbols used for number, although only straight lines, in Egypt
2000 BCE Babylonians correctly solve problems with rectangular right prisms and right cylinders.
1850 BCE Babylonians document what is known as Pythagorean Theorem.
700 BCE Indian Sulbasutras created indicating extensive geometric and astronomical understanding used to construct altars for the Veda people
575 BCE Thales brings Babylonian mathematics to Greece - using geometry to calculate the height of pyramids, distance of ships
530 BCE Pythagoras teaches and creates a society of learning and religious secrecy, probably the first person to prove Pythagorean Theorem.
300 BCE Euclid presents systematic development of geometry in The Elements.
250 BCE Archimedes presents formulae for calculating volume of sphere and cylinder, with an approximation of π.
Brahmagupta uses zero and negative numbers in written work
Al-Khwarizmi writes work using arithmetic, geography, and astronomy and first work is the source of the word algebra (from al-jabr).
Fibonacci writes work that introduces famous sequence of numbers called Fibonacci sequence.
Zhu Shijie indicates Chinese understanding of what is now known as Pascal's Triangles and sum of sequences.
First mathematics book Euclid's Elements printed.
Copernicus publishes work that the Sun, not the Earth, is the centre of the Universe
Galileo publishes discoveries made with telescopes.
Kepler uses elliptical orbits to document conic sections, beginning early introduction to Calculus
First use of trigonometric abbreviations (sin, tan, cos) in writing by Girard.
Descartes formally applies algebra to geometry, beginning branch now called Cartesian Geometry.
Fermat and Pascal exchange letters to work out formal laws for chance and probability.
Leibniz demonstrates a calculating machine which can multiply, divide, and extract roots.
Newton presents theories of motion, gravity, and mechanics.
The Greek letter π used to represent the ratio of circumference to its diameter.
Bernoulli publishes work documenting probability models and exponential series.
Bayes presents new ideas about chance, now considered Bayesian Theory of Probability.
Babbage begins construction of a large machine (engine), to calculate logarithmic and trigonometric functions.
M÷bius presents a strip of paper with only one side and edge - now known as the M÷bius strip.
Venn diagrams presented as visual in group theory.
Hilbert poses famous problem list as a challenge to the next century.
Einstein offers General Theory of Relativity.
Sierpinski works on Set Theory and presents closed curve leading to fractals.
Turing describes theoretical machine (Turing machine) leading to the modern computer.
Mandelbrot describes the theory of fractals, more fully described in 1982.