Learning Difficulties with the Concept of Function in Maths: A Literature Review

Author:

Trujillo Macarena1ORCID,Atarés Lorena2,Canet María José3ORCID,Pérez-Pascual María Asunción3ORCID

Affiliation:

1. Department of Applied Mathematics, Universitat Politècnica de València, 46022 València, Spain

2. Department of Food Technology, Universitat Politècnica de València, 46022 València, Spain

3. Department of Electronics Engineering, Universitat Politècnica de València, 46022 València, Spain

Abstract

The concept of function is a threshold concept in mathematics since it is essential for a deep understanding of the subject and is often problematic for students. Despite the importance of this concept, numerous studies have found that students have several difficulties and misconceptions about it. This work aims to assess, classify and synthesize the existing information about the learning difficulties and misconceptions related to the concept of function. In this sense, the main achievement of the work is the synthesis and classification by topics of the information gathered from the literature.

Funder

Universitat Politècnica de València. Convocatoria A+D 2021. Proyectos de Innovación y Mejora Educativa

Publisher

MDPI AG

Subject

Public Administration,Developmental and Educational Psychology,Education,Computer Science Applications,Computer Science (miscellaneous),Physical Therapy, Sports Therapy and Rehabilitation

Reference48 articles.

1. Threshold concepts and troublesome knowledge (2): Epistemological considerations and a conceptual framework for teaching and learning;Meyer;High. Educ.,2005

2. Pettersson, K. (2008). Algoritmiska, Intuitiva och Formella Aspekter av Matematiken i Dynamiskt Samspel: En Studie av hur Studenter Nyttjar Sina Begreppsuppfattningar Inom Matematisk Analys, Chalmers Tekniska Hogskola.

3. Lima, P.D.S.N., das Almas Silva, L., Félix, I.M., and de Oliveira Brandão, L. (2019, January 16–19). Difficulties in basic concepts of mathematics in higher education: A systematic review. Proceedings of the 2019 IEEE Frontiers in Education Conference (FIE), Covington, KY, USA.

4. Thomas, M.O., Freitas Druck, I.D., Huillet, D., Ju, M.K., Nardi, E., Rasmussen, C., and Xie, J. (2012, January 8–15). Key mathematical concepts in the transition from secondary school to university. Proceedings of the 12th International Congress on Mathematical Education, Seoul, Republic of Korea.

5. Levels in the understanding of the function concept;Bergeron;Proc. Conf. Funct.,1982

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