Work

Student understanding of the relation between tangent plane and the differential

Year: 2016

Type: conference-paper

Abstract: Action-Process-Object-Schema (APOS) is used to study students' understanding of the relationship between tangent planes and the differential. An initial conjecture, called a genetic decomposition, of mental constructions students may use in constructing their knowledge of planes, tangent planes, and the differential is proposed. It is tested with semi-structured interviews with 26 students. Results of the study suggest that students tend not to relate these ideas on their own and suggest ways to refine the initial genetic decomposition in order to help students to better understand these concepts.

Source: HAL

Authors: Martínez-Planell, Rafael, Trigueros Gaisman, Maria, Mcgee, Daniel

Institutions: University of Puerto Rico System, University of Puerto Rico-Mayaguez, Instituto Tecnológico Autónomo de México, Northern Kentucky University

Language: English

Topic: Mathematics Education and Teaching Techniques

Subfield: Education

Field: Social Sciences

Domain: Social Sciences

SDG: Quality education

Open Access status: green

OpenAlex ID: W2465780229

FWCI:

Cites: 8

Cited by:

Related to: 10