## What goes wrong in the SAGE notebook interface for secondary school usage

Some of (nice) sage features are not well adapted at an elementary level. In particular:

• the oriented object syntax should sometimes be avoided: the interface must be intuitive from the mathematic *standard* syntax point of vue; on the other side we must keep all python features of list, tuple, dict as they are (ask teachers).
• the algebra under polynoms must be hided a little bit. QQbar, Number fields and symbolic rings must stay in backend;
• the namespace is huge (a general problem of SAGE)
• the help on elementary functions is not well adapted

Supplementary:

• do a french translation of commmands (?)
• write some help files and a really basic tutorial mixing Sage and python.

## A bad solution for polynoms

The high school interface provides two basics functions for creating variables : the var (a symbolic variables for functions) and unknowns (exclusively for polynoms).

The version with unknown returns algebraic elements when asking for roots:

```sage: unknown('X')
X
sage: P = X^2 - X - 1
sage: roots(P)
[(-0.618033988749895?, 1), (1.618033988749895?, 1)]```

The version with var returns symbolic expression when asking for roots:

```sage: var('x')
sage: P = x^2 - x - 1
sage: roots(P)
[(-1/2*sqrt(5) + 1/2, 1), (1/2*sqrt(5) + 1/2, 1)]```

## Patches

Following the development model of Sage, we will use mercurial patches here.

• a patch for the documentation will come soon

## Program of high school in France

In bracket are the corresponding levels.

• second degree polynom [1e S]
• sequences in particular recursive ones [1e S]
• sequences and approximations : pi, e, sqrt(2), ... [1e S]
• continuity and derivation [Tale S]
• functions study and graphics [Ta1e S]
• integration[Tale S]
• elementary graph theory [Tale ES]

## Object or not

The python list usage must be kept as it is. But we have the choice to use or not (explicitely) some methods.

Starting from a list:

`python: l = [1,2,3]`

We can use the standard append:

`python: l.append(4)`

or the += concatenation:

`python: l += [4]`

## TODO

There is still a lot of problems:

• clearing the namespace causes some crashes (there are some general memory initialization). I make research to do it properly. For now, I use a "do it, if it works it's good" method.
• sqrt(n) (log(n), exp(n), ...) returns a symbolic expression which does not evaluate correctly as boolean expression.
• help topics in the rest documentation
• latex rendering in plot is not easy to have : sage: text("\$" + latex(my_object) + "\$", (0,0)). Is there a better way ?

HighSchoolDesign (last edited 2010-03-01 10:37:19 by robert.marik)