# The Generalization of the Solution Process in a Mathematical Problem-Solving Activity with an Advanced Computing Environment

### Cecilia Fissore, Valeria Fradiante, Marina Marchisio

#### 2023

#### Abstract

In a problem-solving activity, generalizing is an important process by which the specifics of a solution are examined. Technologies support this process, making it possible to create interactive explorations that allow to see how the result changes as the initial data vary. In this article we focus on the generalization of the solution process during a mathematical problem-solving activity using an Advanced Computing Environment (ACE). Our research questions are: how can we analyze the skills students develop while generalizing a problem? What are the most frequent difficulties? We analyzed the solution of a problem-solving activity with an ACE submitted by 75 students using a model specially developed by us for studying generalization using interactive components. The model considers three phases: design and choice of interactive components, programming of the system and control stages of generalization of a problem. For each stage we established a set of indicators to understand the competences achieved by each student. The results show that the students generalized the problem using different strategies, with some difficulty in the programming and control phase. The model developed allows to reflect on the skills achieved by students in the various phases of the generalization process.

Download#### Paper Citation

#### in Harvard Style

Fissore C., Fradiante V. and Marchisio M. (2023). **The Generalization of the Solution Process in a Mathematical Problem-Solving Activity with an Advanced Computing Environment**. In *Proceedings of the 15th International Conference on Computer Supported Education - Volume 2: CSEDU,* ISBN 978-989-758-641-5, SciTePress, pages 426-433. DOI: 10.5220/0011986200003470

#### in Bibtex Style

@conference{csedu23,

author={Cecilia Fissore and Valeria Fradiante and Marina Marchisio},

title={The Generalization of the Solution Process in a Mathematical Problem-Solving Activity with an Advanced Computing Environment},

booktitle={Proceedings of the 15th International Conference on Computer Supported Education - Volume 2: CSEDU,},

year={2023},

pages={426-433},

publisher={SciTePress},

organization={INSTICC},

doi={10.5220/0011986200003470},

isbn={978-989-758-641-5},

}

#### in EndNote Style

TY - CONF

JO - Proceedings of the 15th International Conference on Computer Supported Education - Volume 2: CSEDU,

TI - The Generalization of the Solution Process in a Mathematical Problem-Solving Activity with an Advanced Computing Environment

SN - 978-989-758-641-5

AU - Fissore C.

AU - Fradiante V.

AU - Marchisio M.

PY - 2023

SP - 426

EP - 433

DO - 10.5220/0011986200003470

PB - SciTePress