The History of Mathematics

Here are some mathematical activities that will help you appreciate the origins of Mathematics.

In the timeline above note that the dates associated with mathematicians from further back in history are approximations.

Origins

Where did mathematics come from? Was it invented or discovered?

This is neither a scheme of work, programme of study or lesson plan. It is an eclectic collection of ideas and activities to use as part of your mathematical studies.

Maths Minds

Maths Minds

Match the mathematician and their birth years with the image suggesting some mathematics they are associated with.

Mathematician Pairs

Mathematician Pairs

The traditional pairs or Pelmanism game requiring the ability to recognise some of the great mathematicians.

Pascal's Triangle

Pascal's Triangle

Get to know this famous number pattern with some revealing learning activities

Sieve of Eratosthenes

Sieve of Eratosthenes

A self checking, interactive version of the Sieve of Eratosthenes method of finding prime numbers.

Magic Square

Magic Square

Each row, column and diagonal should produce the same sum.

Roman Numerals Quiz

Roman Numerals Quiz

This online, self marking quiz tests your ability to convert Roman numerals.

Fibonacci Quest

Fibonacci Quest

A number of self marking quizzes based on the fascinating Fibonacci Sequence.

Remainder Race

Remainder Race

A game involving chance and choice requiring an ability to calculate the remainder when a two digit number is divided by a single digit number.

Code Cracker

Code Cracker

Crack the code by replacing the encrypted letters in the given text. There are lots of hints provided about code breaking techniques.

Tangram Template

Tangram Template

An online challenge to use all the pieces of the tangram puzzle to fit into the outlines provided.

Pythagoras

Pythagoras

An online exercise to test your understanding of and ability to apply Pythagoras' Theorem.

Algebra In Action

Algebra In Action

Real life problems adapted from an old Mathematics textbook which can be solved using algebra.

A History of the Calendar

A History of the Calendar

A fast paced animation explaining the development of the modern calendar.

The Great Maths Mystery

The Great Maths Mystery

Explore the astonishing power mathematics across the centuries in this video from PBS.

Königsberg Bridges

Königsberg Bridges

This classic puzzle in graph theory was famously solved by the mathematician Leonhard Euler in 1736.

The modern decimal system

📜

was developed by Indian mathematicians between the 1st and 4th centuries CE and later adopted by the Islamic world. It was introduced to Europe in the Middle Ages, significantly improving mathematical calculations.

The first known woman mathematician

📜

was Hypatia of Alexandria (c. 355–415 CE). She was a philosopher, astronomer, and mathematician who taught and wrote on subjects such as algebra and geometry.

Fibonacci's sequence

📜

was introduced to the West by Leonardo of Pisa, known as Fibonacci, in his 1202 book "Liber Abaci." The sequence was actually based on an earlier Indian work and is famous for its appearance in nature.

The Pythagorean Theorem

📜

was known to the Babylonians over 1,000 years before Pythagoras. The famous relationship between the sides of a right triangle appears on a clay tablet known as Plimpton 322, dating back to around 1800 BCE.

Euclid's "Elements"

📜

is one of the most influential works in the history of mathematics. Written by Euclid around 300 BCE, it served as the main textbook for teaching mathematics for over 2,000 years.

The word "algebra"

📜

comes from the Arabic word "al-jabr," which means "reunion of broken parts." It was introduced by the Persian mathematician Al-Khwarizmi in his 9th-century book "Al-Kitab al-Mukhtasar fi Hisab al-Jabr wal-Muqabala."

The equals sign (=)

📜

was invented by the Welsh mathematician Robert Recorde in 1557. He chose this symbol because, as he wrote, "no two things can be more equal than a pair of parallel lines."

The concept of zero

📜

was first developed by ancient Indian mathematicians around the 5th century CE. The use of zero as a number was later transmitted to the Islamic world and eventually reached Europe, where it transformed mathematics.

Oldest Proverb

📜

"Accurate Reckoning. The entrance into the knowledge of all existing things and all obscure secrets." is an ancient Egyptian mathematical proverb found in the Rhind Mathematical Papyrus, which dates back to around 1650 BCE.

Create a Classroom Mathematics Timeline

Timeline

600BCE

2024

Creating a timeline of mathematics along the top of your classroom walls can be a fantastic visual aid for students, helping them to understand the historical context and development of mathematical concepts. Below is a step-by-step guide with tips and ideas to help you design this timeline effectively.

1. Choose the Starting Year

2. Plan the Layout

3. Select Notable Events and Mathematicians

4. Design and Create the Timeline

5. Engage Students with the Timeline

6. Update and Expand the Timeline

By following these steps, you can create a visually engaging and educational mathematics timeline that will inspire and inform your students throughout the year.


Here is an alphabetical list of the mathematicians who appear in the timeline at the top of this page. More information can be found by either clicking on their name in the timeline above or the information symbol in the list below.

📜 Abraham de Moivre (1667 - 1754)

📜 Abu al-Wafa (940 - 998)

📜 Adrien-Marie Legendre (1752 - 1833)

📜 Al-Khwarizmi (780 - 850)

📜 Alan Turing (1912 - 1954)

📜 Andrew Wiles (1953 - present)

📜 Apollonius (262BCE - 190BCE)

📜 Archimedes (287BCE - 212BCE)

📜 Aryabhata (476 - 550)

📜 Augustin-Louis Cauchy (1789 - 1857)

📜 Bernhard Riemann (1826 - 1866)

📜 Blaise Pascal (1623 - 1662)

📜 Brahmagupta (598 - 668)

📜 Carl Friedrich Gauss (1777 - 1855)

📜 David Hilbert (1862 - 1943)

📜 Diophantus (200 - 284)

📜 Emmy Noether (1882 - 1935)

📜 Eratosthenes (276BCE - 194BCE)

📜 Euclid (330BCE - 270BCE)

📜 Eudoxus of Cnidus (390BCE - 340BCE)

📜 Fibonacci (1170 - 1250)

📜 François Viète (1540 - 1603)

📜 Georg Cantor (1845 - 1918)

📜 George Boole (1815 - 1864)

📜 Gerolamo Cardano (1501 - 1576)

📜 Gottfried Wilhelm Leibniz (1646 - 1716)

📜 Gottlob Frege (1848 - 1925)

📜 Henri Poincaré (1854 - 1912)

📜 Heron of Alexandria (50BCE - 40)

📜 Hipparchus (190BCE - 120BCE)

📜 Hippocrates of Chios (470BCE - 410BCE)

📜 Hypatia (355 - 415)

📜 Isaac Newton (1642 - 1726)

📜 Jacob Bernoulli (1654 - 1705)

📜 Jamshid al-Kashi (1380 - 1429)

📜 Johann Bernoulli (1667 - 1748)

📜 Johannes Kepler (1571 - 1630)

📜 John Napier (1550 - 1617)

📜 John von Neumann (1903 - 1957)

📜 Joseph-Louis Lagrange (1736 - 1813)

📜 Karl Weierstrass (1815 - 1897)

📜 Kurt Gödel (1906 - 1978)

📜 Leonhard Euler (1707 - 1783)

📜 Nicolaus Copernicus (1473 - 1543)

📜 Nicole Oresme (1323 - 1382)

📜 Nikolai Lobachevsky (1792 - 1856)

📜 Omar Khayyam (1048 - 1131)

📜 Paul Erdős (1913 - 1996)

📜 Pierre de Fermat (1607 - 1665)

📜 Pierre-Simon Laplace (1749 - 1827)

📜 Ptolemy (100 - 170)

📜 Pythagoras (570BCE - 495BCE)

📜 Ramanujan (1887 - 1920)

📜 René Descartes (1596 - 1650)

📜 Zu Chongzhi (429 - 500)


Transum,

Tuesday, September 10, 2019

"And the sad thing is that I still remember some of these calculators that are now museum exhibits.

Old Calculators

Old Calculators

Old Calculators

Old Calculators

Old Calculators

I took these photographs in the Whipple Museum of the History of Science in Cambridge in July 2019"

Do you have any comments? It is always useful to receive feedback and helps make this free resource even more useful for those learning Mathematics anywhere in the world. Click here to enter your comments.

 

Abacus
An old abacus known as a Suanpan
Pair of Compasses
A pair of compasses, both made in China but one is much better than the other for getting your bearings!

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