and fonts. (1) Learning materials. • Teachers produce high-quality PDF documents using L A TEX. • PDF documents lack interactive capabilities. (2) Homework submission and feedback. • Students submit handwritten solutions to homework questions. • Teachers marks and returns the scripts Can L A TEX documents be used as the basis of an e-learning system for mathematics? D Evans Cardiff School of Mathematics 3
letters, numerals and symbols. These are collectively known as glyphs. • Groups of glyphs are called fonts. • Groups of fonts sharing particular design fea- tures are called typefaces. • Computer Modern typefaces for mathematics created by Donald Knuth for TEX (1978) • TEX extended to L A TEX by Leslie Lamport (1984). • L A TEX is the de-facto standard for typesetting mathematical articles and books. D Evans Cardiff School of Mathematics 4
is a technique for storing and accessing hierarchical data in a database. • Retrieval operations are efficient. • Inserts, moves and deletions are comparatively expensive. The django-mptt app makes it very easy to use MPTT with Django models. • Models are defined as subclasses of mptt.models.MPTTModel. • Tree updated automatically when model instances are inserted/moved/deleted. • Instance methods: get_ancestors(), get_children(), etc. • Custom form fields provided by the mptt.forms package. • Template tags and filters for rendering trees recursively. http://github.com/django-mptt/django-mptt/ D Evans Cardiff School of Mathematics 10
M P T T M o d e l ): parent = T r e e F o r e i g n K e y ( s e l f , null=True , related_name= children ) node_type = models. C h a r F i e l d (max_length =10) number = P o s i t i v e S m a l l I n t e g e r F i e l d (null=True) title = C h a r F i e l d (max_length =100, null=True , blank=False) content = T e x t F i e l d (null=True) mpath = C h a r F i e l d (max_length =100, null=True) views.py context[ chapter ] = BookNode.objects.get( pk=pk ) context[ subtree ] = context[ chapter ]. get_descendants(include_ s e l f =True) template.html {% load mptt_tags %} {% recursetree subtree %} {% if node.node_type == "chapter" %} <div class="chapter"> <h1 class="chapter">{{ node.number }}. {{ node.title }}</h1> {{ children }} </div> {% elif %} ... D Evans Cardiff School of Mathematics 11
interaction The following were inspired by exam.cls (written by Phil Hirschhorn, MIT). Free-text answers \begin{homework} \begin{questions} \question First Question. \begin{solution} Solution of First Question. \end{solution} \question Second Question. \begin{solution} Solution of Second Question. \end{solution} \end{questions} \end{homework} Multiple-choice answers \begin{mctest} \begin{questions} \question Which is the odd one out? \begin{choices} \choice John \choice Paul \choice George \correctchoice Dingo \end{choices} \end{questions} \end{mctest} D Evans Cardiff School of Mathematics 12
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