Math in Nature

I love math! I started working with some advanced math students last year and we incorporated some Math in Nature as part of our explorations.  Below are some links we found helpful.

General Resources

Maths Outdoors – http://creativestarlearning.co.uk/c/maths-outdoors/

Hexaflexagon –  https://www.youtube.com/watch?v=VIVIegSt81k

Honeycomb Conjecture

Honeybees Love Hexagons – https://www.youtube.com/watch?v=QEzlsjAqADA

Hexagon Tiling – http://mathworld.wolfram.com/HexagonTiling.html

Tessellation – http://mathworld.wolfram.com/Tessellation.html

Honeycomb Conjecture – https://www.youtube.com/watch?v=7hnbfcWHLYc

The Golden Ratio

Golden Ratio – http://mathworld.wolfram.com/GoldenRatio.html

Golden Rectangles All Around Activity – http://math.rice.edu/~lanius/Geom/around.html

Fibonacci Numbers

Fibonacci Number – http://mathworld.wolfram.com/FibonacciNumber.html

Doodling in Math – https://www.youtube.com/watch?v=ahXIMUkSXX0 Notes and References: https://vimeo.com/147799854

The magic of Fibonacci numbers –https://www.ted.com/talks/arthur_benjamin_the_magic_of_fibonacci_numbers#t-363498

Fractals

General Information and teaching ideas – http://creativestarlearning.co.uk/maths-outdoors/outdoor-maths-fractals-in-nature/

Fractal Foundation – http://fractalfoundation.org/

Nico’s Fractal Machine- Fractal Creator where you can stop and save an image of the fractal you made

https://sciencevsmagic.net/fractal/#0223,0090,1,1,1,0,1

African Fractals – http://www.csdt.rpi.edu/african/African_Fractals/applications4.html

Books

By Nature’s Design https://www.amazon.com/Natures-Design-Exploratorium-Book/dp/0811803295

The Magic of Mathematics

https://www.amazon.com/Magic-Mathematics-Discovering-Spell/dp/0933174993/ref=sr_1_1?s=books&ie=UTF8&qid=1490188530&sr=1-1&keywords=the+magic+of+mathematics

Of Interest

How to Draw with Math https://blogs.scientificamerican.com/guest-blog/how-to-draw-with-math/

 

 

 


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Experiments with Truth

“Gandhi called his life “experiments with truth,” and experimenting in the complex field of forces that bear on our lives is how we learn more about our integrity. We learn experimentally that we thrive on some connections and wither with others, that we enhance our integrity by choosing relationships that give us life and violate it by assenting to those that do not.

Experimentation is risky. We rarely know in advance what will give us life and what will sap life away. But if we want to deepen our understanding of our own integrity, experiment we must – and then be willing to make choices as we view the experimental results.

‘All real living is meeting,’ said Martin Buber, and teaching is endless meeting. Staying open to new meetings, trying to distinguish those that have integrity from those that do not, is a tiring and sometimes frightening task. I am often tempted to protect my sense of self behind barricades of status or role, to withhold myself from colleagues or students or ideas and from the collisions we will surely have.

When I succumb to that temptation, my identity and integrity are diminished – and I lose the heart to teach.”

Revisiting one of my favorite books – Courage to Teach by Parker Palmer – and the above spoke to me.


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Where do you want to go today?

TheHiddenWorldsofNatParks

Here are some great sites for virtual field trips.

Discovery VR (works on computers, mobile, and VR)
www.discoveryvr.com/

The Hidden Worlds of the National Parks
www.google.com/culturalinstitute/beta/project/national-park-service

Google Expeditions
www.google.com/edu/expeditions/

 


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