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| == 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. * [[http://iml.univ-mrs.fr/~delecroi/lycee-vd.patch|Sage patch]] * 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 ? |
