Automated Generation of High School Geometric Questions Involving Implicit Construction

Rahul Singhal, Martin Henz, Kevin McGee

2014

Abstract

We describe a framework that combines a combinatorial approach and automated deduction to generate geometry problems which require implicit constructions for their solution. This is an extension of our framework developed for generating geometric questions without construction. Such a system would help teachers to quickly generate large numbers of questions involving implicit construction on a geometry topic. Students can explore, revise and master specific topics covered in classes and textbooks based on construction-based generated questions. This system may also help standardize tests such as GMAT and SAT. Our novel methodology uses (i) a combinatorial approach for generating geometric figures and objects for construction (ii) automated deduction to generate new questions and solutions. By combining these methods, we are able to generate questions involving finding or proving relationships between geometric objects based on a specification of the geometry objects, concepts, theorems and construction object to be covered by the questions. Experimental results show that a large number of questions can be generated in a short time.

Paper Citation

in Harvard Style

Singhal R., Henz M. and McGee K. (2014). Automated Generation of High School Geometric Questions Involving Implicit Construction . In Proceedings of the 6th International Conference on Computer Supported Education - Volume 1: CSEDU, ISBN 978-989-758-020-8, pages 467-472. DOI: 10.5220/0004947904670472

in Bibtex Style

@conference{csedu14,
author={Rahul Singhal and Martin Henz and Kevin McGee},
title={Automated Generation of High School Geometric Questions Involving Implicit Construction},
booktitle={Proceedings of the 6th International Conference on Computer Supported Education - Volume 1: CSEDU,},
year={2014},
pages={467-472},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0004947904670472},
isbn={978-989-758-020-8},
}

in EndNote Style

TY - CONF
JO - Proceedings of the 6th International Conference on Computer Supported Education - Volume 1: CSEDU,
TI - Automated Generation of High School Geometric Questions Involving Implicit Construction
SN - 978-989-758-020-8
AU - Singhal R.
AU - Henz M.
AU - McGee K.
PY - 2014
SP - 467
EP - 472
DO - 10.5220/0004947904670472