Comparing the efficacy of dynamic vs. static visualisations in students‘ characteristics of basic mental models of the derivative

Basic data for this talk

Type of talkscientific talk
Name der VortragendenNguyen, Hoang; Greefrath, Gilbert
Date of talk06/09/2024
Talk languageEnglish

Information about the event

Name of the eventMathematics Education in the Digital Age 4 (MEDA4)
Event period03/09/2024 - 06/09/2024
Event locationBari
Organised byFaggiano, E.; Clark-Wilson, A.; Tabach, M.; Weigand, H.-G.

Abstract

In this study we examine the question of whether the two central basic mental models of the derivative “local rate of change” and “tangent slope” can be developed more effectively using dynamic or static visualisations after an intervention introducing the concept of the derivative. For this purpose, a questionnaire on these two basic mental models was completed by 11th grade students (N=218). The t-tests indicate that the “tangent slope” was developed significantly more effectively in the dynamic group than in the static group with a small effect size (d=.462); however, there was no difference regarding the “local rate of change“ when comparing the two groups.
Keywordsbasic mental models, derivative, dynamic visualisations, static visualisations

Speakers from the University of Münster

Greefrath, Gilbert
Professorship of Mathematics Didactics with a focus on secondary schools (Prof. Greefrath)
Nguyen, Hoang
Professorship of Mathematics Didactics with a focus on secondary schools (Prof. Greefrath)