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From a discussion on teaching post-calculus mathematics

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How do we want students to know the things we want them to know?

How about, "When my students start my course, I want them to be able to
recall, explain and use everything they have studied before."

**recall** means recite definitions and theorems;

**explain** means teach me or another student these definitions etc,
pointing out, in their own words, what the ideas mean to them; this will
probably involve dialogue and lots of examples;

**use** means extend the ideas to different situations, tackle novel
problems, etc.

I think it is useful, when stating objectives, to use verbs which can, in
some sense, be assessed. The above needs to be unpacked even more and
precise "content" statements made.

Ken Houston

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Professor S. Kenneth Houston

School of Computing and Mathematics

University of Ulster

Jordanstown, Newtownabbey

Co. Antrim

Northern Ireland

BT37 0QB

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