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Writing analogy: calligraphy copybooks, applications and books

Authors
Xavier Bordoy
Date of creation

Abstract

Different types of activities and their differences

The analogy

Recently, I discovered a analogy about mathematical activities: what kind of writing task do you do?

A caligraphic copybook page. You can see a zoomed version
A caligraphic copybook page. You can see a zoomed version
Formal application example. You can see the original document
Formal application example. You can see the original document
The book cover of Don Quijote de la Mancha. You can see the zoomed version
The book cover of Don Quijote de la Mancha. You can see the zoomed version

Following 5 Practices for Orchestrating Productive Task-Based Discussions in Science (Cartier et al. 2013) these categories rise up the demanding of knowledge. And I think that students really “write a book” if they do Project-based learning.

An example of this analogy

I give you an example of this analogy for practicing fractions as operator. I want students to calculate \(\frac{3}{4}\) of \(16\).

Calligraphy copybooks

Aplication

Book

Update: I change the book analogy from this:

Can you find three different ways to divide this plot verifying this requeriment?

What is the division which has the minimum cost? (each fencing side has a cost of $10)?

Can you compare yours with your neighbours’?

Can you find out what is the minimum cost division among all possible divisions?"

to above.

References

Cartier, Jennifer L., Margaret S. Smith, Mary Kay Stein, and Danielle K. Ross. 2013. Practices for Orchestrating Productive Task-Based Discussions in Science. National Council of Teachers of Mathematics. http://www.nctm.org/store/Products/5-Practices-for-Orchestrating-Task-Based-Discussions-in-Science/.

Govern de les Illes Balears. 2006. Llibre d’estil. amadip.esment.


  1. Try and failure, \(\frac{3}{4} \cdot 16\), equations (\(3x+x = 16\)), etc.

  2. Does the cost vary if we choose joined (arc-connex) regions than disjoint areas?