The Math Forum

Search All of the Math Forum:

Views expressed in these public forums are not endorsed by NCTM or The Math Forum.

Math Forum » Discussions » Education » math-teach

Notice: We are no longer accepting new posts, but the forums will continue to be readable.

Topic: Concept Inventories in Mathematics
Replies: 16   Last Post: Sep 28, 2010 9:30 PM

Advanced Search

Back to Topic List Back to Topic List Jump to Tree View Jump to Tree View   Messages: [ Previous | Next ]
GS Chandy

Posts: 8,307
From: Hyderabad, Mumbai/Bangalore, India
Registered: 9/29/05
Re: Concept Inventories in Mathematics
Posted: Sep 21, 2010 10:04 PM
  Click to see the message monospaced in plain text Plain Text   Click to reply to this topic Reply

The concept inventory idea would, I believe, be an excellent tool to enable monitoring (including self-monitoring) of progress of learning in math - it could also turn out to be an 'active aid' to learning (see ii below). If, as Richard Hake shows, such constructs are not readily available to the math educator/learner, they should be - a most worthwhile project indeed for some math teachers and educators? See, for instance, 'Concept Inventory' at Wikipedia -

I observe that the OPMS process, about which I have written here, could:

i) Enable concept inventories to be created where they do not exist; and

ii) (Possibly) Lead to a rather more sophisticated type of concept inventory, including an ontology and maps showing how the understanding of one concept could contribute to (/enhance/ support) the understanding of other(s). These maps could, with some small effort, be personalized to suit the abilities/ learning styles* of specific students or groups of students.

I recall that the late John N. Warfield - inventor of the modeling processes underlying the OPMS - had done some exercises with mathematicians and math teachers at George Mason University that foreshadowed the ideas of Concept Inventories as discussed here at ii) above. The "John N. Warfield Collection" held at the library of George Mason University (see should be able to provide access to the related documents.

(*Yes - I do know that some of us think 'learning styles' is not a valid concept. I happen to feel it is - though I have no detailed evidence to support this feeling - however, plenty of references to 'learning styles' do come up via Google).


Point your RSS reader here for a feed of the latest messages in this topic.

[Privacy Policy] [Terms of Use]

© The Math Forum at NCTM 1994-2018. All Rights Reserved.