research product . Other ORP type . 2021

Test for the Assessment of Basic Mental Models of Derivatives and Integrals

Greefrath, Gilbert; Oldenburg, Reinhard; Siller, Hans-Stefan; Ulm, Volker; Weigand, Hans-Georg;
Open Access German
  • Published: 08 Jan 2021
  • Publisher: HAL CCSD
Abstract
A test is presented which measures whether and to what extent persons have developed basic mental models of the concepts of the first derivative of a function and of the definite integral.The main idea for measuring basic mental models is to offer participants argumentations that use certain basic mental models and to ask them to what extent these argumentations are close to or consistent with their own thinking.Each task presents a mathematical situation as a stimulus and four correct argumentations within the context of this situation as possible responses (corresponding to four basic mental models). Participants are asked to mark for each item on a five-point Likert scale to what extent the respective answer corresponds to their thinking.
Subjects
free text keywords: [MATH]Mathematics [math], [SHS.EDU]Humanities and Social Sciences/Education, ddc:510
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