What is mathematics Formal system of thought for recognizing classifying and exploiting patterns The origins of counting Geometric patterns Wave patterns in water and on land Patterns of movement ID: 1045371
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1. MATHEMATICS IN THE MODERN WORLD
2. What is mathematics?Formal system of thought for recognizing, classifying, and exploiting patternsThe origins of countingGeometric patternsWave patterns in water and on landPatterns of movementFractals
3. Where is mathematics?We see hints or clues of it …In natureIn our daily routineIn our worldIn people and communitiesIn events
4. What is mathematics for?To help us unravel the puzzles of nature, a useful way to think about natureOrganize patterns and regularities as well as irregularitiesTo be able to predictTo help us control weather, epidemicsProvides tools for calculationsProvides new questions to think about
5. What is mathematics about?Numbers, symbols, notationsOperations, equations, and functionsProcesses and “thingification” of processes (that are abstractions, e.g., 3)Proof – a story rather than a sequence of statements
6. How is mathematics done?With curiosityWith a penchant for seeking patterns and generalitiesWith a desire to know the truthWith trial and errorWithout fear of facing more questions and problems to solveWith tenacity (willingness to keep working)
7. Who uses mathematics?Mathematicians: pure and appliedScientists: natural and socialPractically everyoneBut different people use different math at different times, for different purposes, using different tools with different attitudes
8. Why is mathematics important to know?It puts order in disorderIt helps us become better personsIt helps the world a better place to live in
9. Most talented mathematician of the middle agesBorn: 1170, Pisa, ItalyDied: 1250, Pisa, ItalyName: Leonardo BonacciAlso known as . . . Leonardo of Pisa Leonardo Pisano Bigollo Leonardo FibonacciPopularly known as FIBONACCI
10. If two new rabbits are put in a pen,How many rabbits willbe in the pen after one year?In 1202, Fibonacci wrote a very famous book “Liber abaci” to describe mathematics he learned.
11. Assume that rabbits... ... always produce one male and one female offspring. ... can reproduce once every month. ... can reproduce when they are one month old. ... never die! “If 2 new born rabbits are put in a pen, how many rabbits will be in the pen after one year?” Your Task: Work with your seatmate and create an illustration (tree diagram, table, flowchart, etc) on how the rabbit population expanded over a year.
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13. http://britton.disted.camosun.bc.ca/fibslide/fib00.jpg
14. White Calla Lily: http://britton.disted.camosun.bc.ca/fibslide/fib01.jpg
15. Euphorbia: http://britton.disted.camosun.bc.ca/fibslide/fib02.jpg
16. Trillium: http://britton.disted.camosun.bc.ca/fibslide/fib03.jpg
17. Columbine: http://britton.disted.camosun.bc.ca/fibslide/fib04.jpg
18. Bloodroot: http://britton.disted.camosun.bc.ca/fibslide/fib05.jpg
19. Black-eyed susan: http://britton.disted.camosun.bc.ca/fibslide/fib06.jpg
20. Shasta Daisy with 21 petals: http://britton.disted.camosun.bc.ca/fibslide/fib07.jpg
21. Field daisies with 34 petals: http://britton.disted.camosun.bc.ca/fibslide/fib08.jpg
22. The Fibonacci sequence in plantsCount the number of branches per generation.
23. The Fibonacci sequence1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, . . . How many rabbits are there on the 13th month? 14th month?Can you state the rule on how to get a term of the sequence?
24. The Fibonacci SURPRISE!1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, . . . What can you say about every third term?What can you say about every fourth term?What can you say about every fifth term?
25. MORE SURPRISES!1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, . . . Try adding together any three consecutive Fibonacci numbers. What do you notice? Can you explain it?Choose any four consecutive Fibonacci numbers. Add the first and last, and divide by two. What do you notice? Can you explain it?Discover any surprise of your own.
26. FruitsA banana has 3 sectionsAn apple has 5 sectionsFabulous Fibonacci: http://fabulousfibonacci.blogspot.com/
27. PineappleFabulous Fibonacci: http://fabulousfibonacci.blogspot.com/
28. CauliflowerFabulous Fibonacci: http://fabulousfibonacci.blogspot.com/
29. http://www.gettyimages.com/detail/photo/cone-of-pine-royalty-free-image/108820976
30. http://www.gettyimages.com/detail/photo/top-view-of-a-brown-pine-cone-on-a-white-background-royalty-free-image/172978445
31. http://www.gettyimages.com/detail/photo/hawaii-oahu-diamond-head-sunflower-close-up-high-res-stock-photography/601204276
32. https://www.123rf.com/photo_7987120_sunflower-seedheaad-pattern-fibonacci.html
33. https://www.shutterstock.com/image-photo/lily-flowers-on-white-background-252724396?irgwc=1&utm_medium=Affiliate&utm_campaign=Nguyen%20Duy%20Phi&utm_source=38874
34. http://www.gettyimages.com/detail/photo/buttercups-summer-sun-royalty-free-image/172368337
35. http://www.gettyimages.com/detail/photo/close-up-of-yellow-back-eyed-susan-flower-royalty-free-image/562845269
36. http://www.gettyimages.com/detail/photo/close-up-of-beautiful-dutch-iris-royalty-free-image/159594206
37. http://www.gettyimages.com/detail/photo/aster-royalty-free-image/185089362
38. http://www.gettyimages.com/detail/photo/yellow-cauliflower-royalty-free-image/186828825
39. http://www.gettyimages.com/detail/photo/yellow-cauliflower-royalty-free-image/186828825
40. https://www.noupe.com/inspiration/photography/nature-s-pattern-photography-35-outstanding-photos.html
41. https://www.noupe.com/inspiration/photography/nature-s-pattern-photography-35-outstanding-photos.html
42. https://www.noupe.com/inspiration/photography/nature-s-pattern-photography-35-outstanding-photos.html
43. https://www.noupe.com/inspiration/photography/nature-s-pattern-photography-35-outstanding-photos.html
44. http://www.gettyimages.com/detail/photo/bees-royalty-free-image/157643400https://www.extremetech.com/extreme/172357-the-most-beautiful-snowflake-photos-youll-ever-see-captured-with-a-cheap-diy-camera