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https://youtu.be/zQ_hnePpwJ8

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"getting up and moving around into the learning experience"

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"getting up and moving around into the learning experience"

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http://archive.bridgesmathart.org/2013/bridges2013-337.pdf

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https://naturalmath.com/2013/10/6-big-adventures-in-street-math/

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I am volunteering at elementary school recess, and was wondering if you can recommend some math games for outdoors - Anna Belaschenko, via the Moebius Noodles newsletter.

Here is a collection under the #StreetMath tag from our Facebook updates.

1. Sequence hopscotch

Use the old favorite to play with new sequences. How about counting in binary, or using Fibonacci?

Invite kids to make up their own sequences and hopscotch patterns.

Pictures by Dave & Anna Douglas and Dr. Mike's Math Games for Kids.

2. Murals or graffiti

Make a bold statement that math owns the place! Draw large math diagrams, fractals, or Fibonacci spirals on walls. If you don't want a permanent graffiti, prop up a particle board or cardboard next to the wall, or simply tape large paper to the wall. Even easier, you can draw sidewalk murals in chalk.

Ellie Balk writes on good.is:

For the last four years, Green School math teacher Nathan Affield and I have teamed up to create murals that combine art and mathematics to empower students and connect them to their communities in Brooklyn, New York. In 2011, Affield and I created a project where a math class surveyed the whole school on how they were feeling, what color that feeling represented, where that feeling fell on a scale between one and 10, and what time of day the data was recorded. The students then aggregated and color-coded the data to create a 150 histogram covering the back wall of the school. At first glance, the mural looks like an abstract, colorful cityscape. It is only when the mural is "read", that the data can be understood.

Pictures by Ellie Balk and Visualize Pi Project.

3. Geometric paths

Invite kids to build spiral or labyrinthine paths between pretend-play houses, or within pretend-play parks.

Children can draw their paths in chalk, mark them by hand or foot in sandboxes, or line up branches and pebbles.

The paths can be large enough for kids to walk, or small enough for pretend-play with toys. Gently introduce inspiring "math building codes," such as fractal branching paths or classical labyrinths.

Pictures by Joseángel Murcia of Tocamales, Mick Kelly and Wikipedia.

4. Scavenger hunts and Math Treks

Help the kids grow their math eyes!

Pick a math concept and invite everyone to find it. Can you see multiplication in how tree branches grow, in rows of windows, or in kids' own fingers ( hands times 5)? Alternatively, invite kids to find as many math ideas as they can in one object.

Beside multiplication, trees also have symmetry (in leaves), fractal-like branching, tessellations of cells or bark and so on. Invite kids to show the ideas they find with gestures or "human sculptures" for awesome photo-ops!

Architecture can be particularly mathy!

Pictures by Mathematical Association of America and Wikipedia. Video by Natural Math.

5. Play with yarn, fabric, and ropes

Develop spatial reasoning: turn one-dimensional and two-dimensional materials (yarn, fabric) into three-dimensional creations.

After kids explore freely for a while, you can introduce mathy inspirations, such as macrame patterns or formula-based string art.

Check out pictures and videos of yarn bombing, a community movement to cheer up local spaces.

Pictures by Cathy of California, Sense of Wonder and Wikipedia.

6. Build giant models

Math feels different when you can climb it! Math is ten times cooler when it takes ten people to lift it!

Learning through the whole body activates more areas of the brain. You can bring boards and large boxes, or use found objects such as tree branches. Paper works too. Kids can invent their own shapes, or build models of surfaces and polygons that are famous for their beauty.

Pictures by Albion College and Vi Hart on Wikipedia.

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6 BIG adventures in #StreetMath - Natural Math

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I am volunteering at elementary school recess, and was wondering if you can recommend some math games for outdoors - Anna Belaschenko, via the Moebius Noodles newsletter. Here is a collection under the #StreetMath tag from our Facebook updates. 1. Sequence...Read more ›

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Orienteering activities : maps and adventure

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Orienteering activities : maps and adventure

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Origami Proof of the Pythagorean Theorem

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I simply love it!!!

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I know, I know. Go Look in My (Interactive) Notebook....

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Interactive notebooks have saved my sanity! I need to send heartfelt thanks to Sarah Carter of Math=Love. Hers was the first blog I found on interactive notebooks and even better, it was about algebra! For the last two years, my students and I have been cutting, folding, writing, gluing and learning as we build our notebooks.

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I've been playing with paper folding recently, and exploring the mathematics involved. I'm simply amazed by the number of mathematical ideas that can be represented by paper folding, so I thought I would share a few of my discoveries here.
Sequences
As you can see above, you can generate the sequence of numbers 1, 2, 4, 8, 16, 32 and so on, just by folding the paper in half again each time. This means that there is an exponential relationship between the number of folds you have made and the number of areas created on the paper.

Notice that if I instead fold the paper into thirds each time, the sequence changes into 1, 3, 9, 27, etc... which suggests that folding a piece of paper is a little bit like multiplication.
Fractions
First, form the fraction by folding the paper into quarters and shading three of them in.

Now fold the paper in the other direction into thirds, and shade , ideally in the other direction. Where your two shadings have overlapped is the product of your two fractions, in this case .
Symmetry
Here is an example of folding the paper around the centre to produce rotational symmetry. I worked with a student to produce snowflakes with 9 points, 12 points, and other points, after watching this interesting video by Vi Hart.

Tessellations

If you fold a paper in half a bunch of times, you can create a tesselation by cutting portions of the paper out. The number of folds and the size of the repeated portion of the tessellation have an interesting relationship.
Circle geometry
If you very carefully cut a circle out of a piece of paper (which will finally give you a use for all of those CDs you have laying around you aren't using anymore), you can prove quite a large number of the theorems from circle geometry by folding the paper in certain ways.

For example, if you fold the paper in half twice in two different directions, the intersection of the folds has a useful property.

For further resources on paper folding and mathematics, see this TED talk by Robert Lang, this book on the mathematics of paper-folding, and this useful PDF describing some geometry theorems that can be demonstrated through paper folding. See also this very interesting article on fraction flags (via @DwyerTeacher).

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I've been playing with paper folding recently, and exploring the mathematics involved. I'm simply amazed by the number of mathematical ideas that can be represented by paper folding, so I thought I would share a few of my discoveries here.

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even Stanford University is not afraid of failure!!!

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MP1 Toughen up!

Students develop grit and resiliency in the face of nasty, thorny problems. It is the most sought after skill for our students.

MP2 Think abstractly!

Students take problems and reformat them mathematically. This is helpful because mathematics lets them use powerful operations like addition.

MP3 Work together!

Students discuss their strategies to collaboratively solve a problem and identify missteps in a failed solution. MathPickle recommends pairing up students for all its puzzles.

MP4 Model reality!

Students create a model that mimics the real world. Discoveries made by manipulating the model often hint at something in the real world.

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Make Your Own Impossible Cylinder--Mathematical Association of America's Math Horizons

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DIY your own mathematical optical illusion! Download this printable template (pdf) from the Mathematical Association of America: http://bit.ly/ImpossibleCylinder Read about the mathematics behind this illusion in "Sugihara's Impossible Cylinder" (David Richeson, Math Horizons, September 2016, pp. 18-19, http://www.maa.org/MathHorizons. Math Horizons is a publication of the Mathematical Association of America).

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scientific research

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Edutopia is a free source of information, inspiration, and practical strategies for learning and teaching in preK-12 education. We are published by the George Lucas Educational Foundation, a nonprofit, nonpartisan organization.

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as a fun assesment

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makes the world go round!
makes me start over and over again!
failure is not a permanent situation!
failure is part of the game!

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a way to encourage students to think about what happened, to discuss and think deeply about the purpose and implications of the activity, reinforcing what was learned.