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I always teach to count on the big number line on the floor. Children move a certain number of steps according to the number that they obtain rolling a die. If done in teams it becomes a game and this is more motivating.

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Video about Thales theorem, how to use it.

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We did this activity with mixed groups of children from the first and second class. Children built their own tangrams and used them to draw animals and pictures according to samples that where given

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We did this activity in a second class last year.
Children brought their food boxes and then they put them on a big peace of paper to make the print of the faces, they discovered that all the boxes had six faces, and that there whwere three different sizes (bottom and top are the same, left and right are the same back and forth are the same)  they cut the faces and stuck them on the box to make a house.
With the houses we built a long road with fair numbers on the right and odd numbers on the left.

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Right now, “math is taught as a ‘right or wrong’ subject, which conveys the message that either you can or you can’t do it. This is a stereotyped message about who can achieve; and it has all the ingredients for failure and inequity -- which is what you see in mathematics performance. A lot has to do with beliefs among teachers. One belief that the best teachers have is that all of their students can achieve.”

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Give your students practice working with Pythagoras. MathPickle will give $1000 to anyone who finds and publishes in a reputable mathematics journal optimal solutions up to 50x50. This money must be split with the problem solver's most inspirational K-12 teacher.

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In this feature, we bring together a range of paper-folding tasks, which offer opportunities for mathematical exploration. The article outlines how paper folding can help learners to deepen their understanding of geometry, to become more fluent with mathematical language, to persevere and become more curious about something they see.

Many of the tasks below are of a similar format whereby initially learners are challenged to visualise the shape they will get when they fold a piece of paper along the creases shown in a photo. They are then invited to make those shapes in different sizes, create a pattern and then arrange the patterns in different ways to make particular designs.

We hope you will be inspired to introduce your learners to the world of paper folding and look forward to receiving photos of their creations.

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In this feature, we bring together a range of paper-folding tasks, which offer opportunities for mathematical exploration. The article outlines how paper folding can help learners to deepen their understanding of geometry, to become more fluent with mathematical language, to persevere and become more curious about something they see.

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This fits perfectly with our school project about warp and weft......

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Learning about graphs, formulas with movement

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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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30 11 2016

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Game of filling up a grid with pentominos, as well as constructing shapes with pentomino pieces