Paper Folding

Fractions can be modeled in various ways. The model with the square as the whole turned out to be the most useful. It can be used for everything except reducing a fraction to its lowest form.

Process with diagrams and suggested activities are included.

 

Between the evocative possibilities of 'what ifs' & 'why nots', Kelli Anderson's This Book is a Planetarium makes an Arvind Guptaesque case for a humble paper. Here is a quick look on paper, paper folding and its myriad transformations. Storytelling on all things scientific has just turned multimodal & multisensorial.

A square paper comes handy when it comes to exploring geometric series & addition of fractions. Try this today.

When I was a small child I read the following claim about paper folding: “It is impossible to fold any piece of paper in half
more than eight times no matter how big, small, thin or thick the paper is”. At that time I accepted the fact after some experimentation. But last month, to my amazement, I discovered that a grade 11 student in California, Britney C. Gallivan, had mathematically disproved the above statement in 2002
The conics include circle, ellipse, parabola, hyperbola and a pair of intersecting lines. The first and the last can be readily drawn on paper, but there are no constructions for the remaining three using compasses and straight edge. Paper folding
(to be described presently) provided one such way to generate the three remaining conics on paper without much difficulty.

When a small intestine needs an effective surface area of one football field, how does a waist accommodate such a large space? A hands on model to explore 'structure, function & economy'.

In this note, we offer an explanation to the observations made in the ‘Origamics’ article (November 2013 issue of At Right
Angles).

Haga’s Origamic activities require students to explore simple, geometric properties found when we fold paper in prescribed ways. The aim of these activities is to give students easy-to-explore paperfolding puzzles so that they can experience a micro-version of the three stages of mathematical research: exploration, conjecture and proof. In this article, we take up another ‘origamics’ exploration by Dr. Kazuo Haga from the chapter 'Intrasquares and Extrasquares' of his book.

Here's how you can use straws to demonstrate the Powers of 5. Your students can play and discover the magic of numbers themselves.

Click on the link below to view how the powers of three can also be demonstrated:

Straw and the powers of 3

English

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