Education and demonstration – Mathematics – Arithmetic
Patent
1996-02-22
1996-12-17
Apley, Richard J.
Education and demonstration
Mathematics
Arithmetic
434188, 434191, 434211, 434212, 434302, 434303, G09B 700, G09B 2304
Patent
active
055846998
ABSTRACT:
A system for teaching proofs, including a set of playing cards and a playing field electronically displayed on a computer game screen. The playing field includes two boxes labelled "GIVEN" and "CONCLUSION" for entry of a premise and a conclusion from a theorem (or other problem). By selecting from a certain menu or submenu contained in a window, a card may be reviewed. To set up the playing field, a mathematical statement, displayed on a set-up card of a group of set-up cards containing each statement from the universe of statements known, is entered into the boxes. The statements may be custom labelled. Geometric figures associated with the theorem may also be electronically drawn on the screen by a user to complete the set-up. After set-up is complete, a user then chooses from a set of playing cards, each card displaying a specific mathematical concept from the universe of mathematical concepts such as definitions, postulates, constructions, properties and theorems, and places it on the playing field. The system allows a chosen playing card to be dragged by means of a mouse to the playing field and, if properly placed, to "stick" in place on the playing field. Improperly placed cards "snap" back to their original file position. After each card has been correctly placed, a line between properly placed cards is generated connecting proper premises and conclusions to each other and the GIVEN or CONCLUSION to display a completed proof.
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Teacher's Guide, Geometry Two: Proofs and Extensions (IBM Geometry Series), copyright WICAT Systems, Inc. 1987.
Apley Richard J.
Litman Richard C.
Richman Glenn E.
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