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1 Teaching the Shakespeare of Mathematics Marcus du Sautoy

Teaching the Shakespeare of · PDF fileStudents will get to read Shakespeare, romantic poetry, the great ... intriguing problems. A high-quality mathematics education therefore provides

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Page 1: Teaching the Shakespeare of · PDF fileStudents will get to read Shakespeare, romantic poetry, the great ... intriguing problems. A high-quality mathematics education therefore provides

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Teaching the Shakespeare of Mathematics

Marcus du Sautoy

Page 2: Teaching the Shakespeare of · PDF fileStudents will get to read Shakespeare, romantic poetry, the great ... intriguing problems. A high-quality mathematics education therefore provides

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Department for Education

Draft National Curriculum Programmes of Study

Page 3: Teaching the Shakespeare of · PDF fileStudents will get to read Shakespeare, romantic poetry, the great ... intriguing problems. A high-quality mathematics education therefore provides

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Department for Education

Draft National Curriculum Programmes of Study

English

to develop a student’s love of literature through widespread reading for enjoyment. Students will get to read Shakespeare, romantic poetry, the great

novels of the nineteenth century together with seminal works of world literature. Exposure to the great works of literature it is hoped will give

students an appreciation of our rich and varied literary heritage.

Page 4: Teaching the Shakespeare of · PDF fileStudents will get to read Shakespeare, romantic poetry, the great ... intriguing problems. A high-quality mathematics education therefore provides

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Department for Education

Draft National Curriculum Programmes of Study

Science

by building on fundamental ideas and concepts the curriculum aims to foster in students an excitement and curiosity of natural phenomenon. Students will study the fundamental mechanics of the cell, learn about stem cells,

photosynthesis and genomics; they will be exposed to radiation (in a theoretical sense) and the evidence for the Big Bang.

Page 5: Teaching the Shakespeare of · PDF fileStudents will get to read Shakespeare, romantic poetry, the great ... intriguing problems. A high-quality mathematics education therefore provides

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Department for Education

Draft National Curriculum Programmes of Study

Mathematics

Mathematics is a creative and highly inter-connected discipline that has been developed over centuries, providing the solution to some of history’s most

intriguing problems. A high-quality mathematics education therefore provides a foundation for understanding the world, the ability to reason

mathematically, and a sense of enjoyment and curiosity about the subject.

Page 6: Teaching the Shakespeare of · PDF fileStudents will get to read Shakespeare, romantic poetry, the great ... intriguing problems. A high-quality mathematics education therefore provides

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4 dimensional space

Page 7: Teaching the Shakespeare of · PDF fileStudents will get to read Shakespeare, romantic poetry, the great ... intriguing problems. A high-quality mathematics education therefore provides

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( 12.392167, 41.824825 )

Page 8: Teaching the Shakespeare of · PDF fileStudents will get to read Shakespeare, romantic poetry, the great ... intriguing problems. A high-quality mathematics education therefore provides
Page 9: Teaching the Shakespeare of · PDF fileStudents will get to read Shakespeare, romantic poetry, the great ... intriguing problems. A high-quality mathematics education therefore provides

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Page 10: Teaching the Shakespeare of · PDF fileStudents will get to read Shakespeare, romantic poetry, the great ... intriguing problems. A high-quality mathematics education therefore provides
Page 11: Teaching the Shakespeare of · PDF fileStudents will get to read Shakespeare, romantic poetry, the great ... intriguing problems. A high-quality mathematics education therefore provides

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www.mathsinthecity.com

Page 12: Teaching the Shakespeare of · PDF fileStudents will get to read Shakespeare, romantic poetry, the great ... intriguing problems. A high-quality mathematics education therefore provides

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Page 13: Teaching the Shakespeare of · PDF fileStudents will get to read Shakespeare, romantic poetry, the great ... intriguing problems. A high-quality mathematics education therefore provides

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Salvadore Dali’s Corpus Hypercubus.

Crucifixion on a tesseract, a four-dimensional cube

unwrapped in 3 dimensions

Page 14: Teaching the Shakespeare of · PDF fileStudents will get to read Shakespeare, romantic poetry, the great ... intriguing problems. A high-quality mathematics education therefore provides

A universe that is finite but without boundary

Page 15: Teaching the Shakespeare of · PDF fileStudents will get to read Shakespeare, romantic poetry, the great ... intriguing problems. A high-quality mathematics education therefore provides

A universe that is finite but without boundary

Page 16: Teaching the Shakespeare of · PDF fileStudents will get to read Shakespeare, romantic poetry, the great ... intriguing problems. A high-quality mathematics education therefore provides

A universe that is finite but without boundary

Page 17: Teaching the Shakespeare of · PDF fileStudents will get to read Shakespeare, romantic poetry, the great ... intriguing problems. A high-quality mathematics education therefore provides

A universe that is finite but without boundary

Page 18: Teaching the Shakespeare of · PDF fileStudents will get to read Shakespeare, romantic poetry, the great ... intriguing problems. A high-quality mathematics education therefore provides
Page 19: Teaching the Shakespeare of · PDF fileStudents will get to read Shakespeare, romantic poetry, the great ... intriguing problems. A high-quality mathematics education therefore provides

Digital world maps out shapes in hyperspace

Page 20: Teaching the Shakespeare of · PDF fileStudents will get to read Shakespeare, romantic poetry, the great ... intriguing problems. A high-quality mathematics education therefore provides

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Prime Numbers 2,3,5,7,11,13...

Page 21: Teaching the Shakespeare of · PDF fileStudents will get to read Shakespeare, romantic poetry, the great ... intriguing problems. A high-quality mathematics education therefore provides

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Page 22: Teaching the Shakespeare of · PDF fileStudents will get to read Shakespeare, romantic poetry, the great ... intriguing problems. A high-quality mathematics education therefore provides

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Page 23: Teaching the Shakespeare of · PDF fileStudents will get to read Shakespeare, romantic poetry, the great ... intriguing problems. A high-quality mathematics education therefore provides

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Page 24: Teaching the Shakespeare of · PDF fileStudents will get to read Shakespeare, romantic poetry, the great ... intriguing problems. A high-quality mathematics education therefore provides
Page 25: Teaching the Shakespeare of · PDF fileStudents will get to read Shakespeare, romantic poetry, the great ... intriguing problems. A high-quality mathematics education therefore provides
Page 26: Teaching the Shakespeare of · PDF fileStudents will get to read Shakespeare, romantic poetry, the great ... intriguing problems. A high-quality mathematics education therefore provides
Page 27: Teaching the Shakespeare of · PDF fileStudents will get to read Shakespeare, romantic poetry, the great ... intriguing problems. A high-quality mathematics education therefore provides
Page 28: Teaching the Shakespeare of · PDF fileStudents will get to read Shakespeare, romantic poetry, the great ... intriguing problems. A high-quality mathematics education therefore provides
Page 29: Teaching the Shakespeare of · PDF fileStudents will get to read Shakespeare, romantic poetry, the great ... intriguing problems. A high-quality mathematics education therefore provides

Record Breaking Primes

2 57,885,161

-1 In 2013 a new record was set by the Great Internet Mersenne Prime Search

This prime has over 17 million digits.

www.mersenne.org

Page 30: Teaching the Shakespeare of · PDF fileStudents will get to read Shakespeare, romantic poetry, the great ... intriguing problems. A high-quality mathematics education therefore provides
Page 31: Teaching the Shakespeare of · PDF fileStudents will get to read Shakespeare, romantic poetry, the great ... intriguing problems. A high-quality mathematics education therefore provides
Page 32: Teaching the Shakespeare of · PDF fileStudents will get to read Shakespeare, romantic poetry, the great ... intriguing problems. A high-quality mathematics education therefore provides
Page 33: Teaching the Shakespeare of · PDF fileStudents will get to read Shakespeare, romantic poetry, the great ... intriguing problems. A high-quality mathematics education therefore provides

Olivier Messiaen: composer and mathematician

Page 34: Teaching the Shakespeare of · PDF fileStudents will get to read Shakespeare, romantic poetry, the great ... intriguing problems. A high-quality mathematics education therefore provides
Page 35: Teaching the Shakespeare of · PDF fileStudents will get to read Shakespeare, romantic poetry, the great ... intriguing problems. A high-quality mathematics education therefore provides
Page 36: Teaching the Shakespeare of · PDF fileStudents will get to read Shakespeare, romantic poetry, the great ... intriguing problems. A high-quality mathematics education therefore provides
Page 37: Teaching the Shakespeare of · PDF fileStudents will get to read Shakespeare, romantic poetry, the great ... intriguing problems. A high-quality mathematics education therefore provides

Code cracking: Find two primes p and q so that

126,619 = p x q

Prime numbers are literally the key to making and breaking RSA, the cryptographic code that powers internet commerce

Page 38: Teaching the Shakespeare of · PDF fileStudents will get to read Shakespeare, romantic poetry, the great ... intriguing problems. A high-quality mathematics education therefore provides
Page 39: Teaching the Shakespeare of · PDF fileStudents will get to read Shakespeare, romantic poetry, the great ... intriguing problems. A high-quality mathematics education therefore provides

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From Terry Prachett's Thief of Time.

Susan is a teacher talking to her Head teacher:

"What precisely was it that you wanted madam?" she said. "It's just that I have left

the class doing algebra and they get restless when they've finished".

"Algebra?" said Madam Frout. "But that's far too difficult for seven-year-

olds!"

"Yes but I didn't tell them that, and so far they haven't found out" said Susan.

Page 40: Teaching the Shakespeare of · PDF fileStudents will get to read Shakespeare, romantic poetry, the great ... intriguing problems. A high-quality mathematics education therefore provides

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Page 41: Teaching the Shakespeare of · PDF fileStudents will get to read Shakespeare, romantic poetry, the great ... intriguing problems. A high-quality mathematics education therefore provides

41www.rigb.org/christmaslectures06/

Page 42: Teaching the Shakespeare of · PDF fileStudents will get to read Shakespeare, romantic poetry, the great ... intriguing problems. A high-quality mathematics education therefore provides

www.mangahigh.com

Page 43: Teaching the Shakespeare of · PDF fileStudents will get to read Shakespeare, romantic poetry, the great ... intriguing problems. A high-quality mathematics education therefore provides

https://soundcloud.com/abriefhistoryofmaths

Page 44: Teaching the Shakespeare of · PDF fileStudents will get to read Shakespeare, romantic poetry, the great ... intriguing problems. A high-quality mathematics education therefore provides

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Teaching the Shakespeare of Mathematics

Marcus du Sautoy