### Abstract

This paper describes our continuing work on enabling a tutor to evaluate algebraic solutions to word problems in physics. Current tutoring systems require students to explicitly define each variable that is used in the algebraic equations. We have developed a constraint propagation based heuristic algorithm that finds the possible dimensions and physics concepts for each variable. In earlier work we developed techniques that worked for a small set of problems and evaluated them on a small number of students. The work described here covers an extension to and evaluation of a much larger class of problems and a larger number of students. The results show that our technique uniquely determines the dimensions of all the variables in 89% of the sets of equations. By asking the student for dimension information about one variable, an additional 3% of the sets can be determined. Thus a physics tutoring system can use this technique to reason about a student's answers even when the scaffolding and context are removed.

Original language | English (US) |
---|---|

Title of host publication | Proceedings of the Seventeenth International Florida Artificial Intelligence Research Society Conference, FLAIRS 2004 |

Editors | V. Barr, Z. Markov |

Pages | 455-459 |

Number of pages | 5 |

State | Published - Dec 17 2004 |

Event | Proceedings of the Seventeenth International Florida Artificial Intelligence Research Society Conference, FLAIRS 2004 - Miami Beach, FL, United States Duration: May 17 2004 → May 19 2004 |

### Publication series

Name | Proceedings of the Seventeenth International Florida Artificial Intelligence Research Society Conference, FLAIRS 2004 |
---|---|

Volume | 2 |

### Other

Other | Proceedings of the Seventeenth International Florida Artificial Intelligence Research Society Conference, FLAIRS 2004 |
---|---|

Country | United States |

City | Miami Beach, FL |

Period | 5/17/04 → 5/19/04 |

### Fingerprint

### All Science Journal Classification (ASJC) codes

- Engineering(all)

### Cite this

}

*Proceedings of the Seventeenth International Florida Artificial Intelligence Research Society Conference, FLAIRS 2004.*Proceedings of the Seventeenth International Florida Artificial Intelligence Research Society Conference, FLAIRS 2004, vol. 2, pp. 455-459, Proceedings of the Seventeenth International Florida Artificial Intelligence Research Society Conference, FLAIRS 2004, Miami Beach, FL, United States, 5/17/04.

**Inferring the context for evaluating physics algebraic equations when the scaffolding is removed.** / Liew, C. W.; Shapiro, Joel; Smith, D. E.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

TY - GEN

T1 - Inferring the context for evaluating physics algebraic equations when the scaffolding is removed

AU - Liew, C. W.

AU - Shapiro, Joel

AU - Smith, D. E.

PY - 2004/12/17

Y1 - 2004/12/17

N2 - This paper describes our continuing work on enabling a tutor to evaluate algebraic solutions to word problems in physics. Current tutoring systems require students to explicitly define each variable that is used in the algebraic equations. We have developed a constraint propagation based heuristic algorithm that finds the possible dimensions and physics concepts for each variable. In earlier work we developed techniques that worked for a small set of problems and evaluated them on a small number of students. The work described here covers an extension to and evaluation of a much larger class of problems and a larger number of students. The results show that our technique uniquely determines the dimensions of all the variables in 89% of the sets of equations. By asking the student for dimension information about one variable, an additional 3% of the sets can be determined. Thus a physics tutoring system can use this technique to reason about a student's answers even when the scaffolding and context are removed.

AB - This paper describes our continuing work on enabling a tutor to evaluate algebraic solutions to word problems in physics. Current tutoring systems require students to explicitly define each variable that is used in the algebraic equations. We have developed a constraint propagation based heuristic algorithm that finds the possible dimensions and physics concepts for each variable. In earlier work we developed techniques that worked for a small set of problems and evaluated them on a small number of students. The work described here covers an extension to and evaluation of a much larger class of problems and a larger number of students. The results show that our technique uniquely determines the dimensions of all the variables in 89% of the sets of equations. By asking the student for dimension information about one variable, an additional 3% of the sets can be determined. Thus a physics tutoring system can use this technique to reason about a student's answers even when the scaffolding and context are removed.

UR - http://www.scopus.com/inward/record.url?scp=10044278216&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=10044278216&partnerID=8YFLogxK

M3 - Conference contribution

AN - SCOPUS:10044278216

SN - 1577352017

SN - 9781577352013

T3 - Proceedings of the Seventeenth International Florida Artificial Intelligence Research Society Conference, FLAIRS 2004

SP - 455

EP - 459

BT - Proceedings of the Seventeenth International Florida Artificial Intelligence Research Society Conference, FLAIRS 2004

A2 - Barr, V.

A2 - Markov, Z.

ER -