Work

Multiple models for teaching logarithms: with a focus on graphing functions

Year: 2017

Type: conference-paper

Abstract: This argumentative paper focuses on graphing logarithmic functions and presents some mathematical knowledge for teaching, employing vom Hofe's construct of basic models (or 'Grundvorstel-lungen') and Sfard's distinction between operational and structural conceptions. On the assumption that difficulties students have with graphing might be a consequence of the standard interpretation of logarithms as inverse exponents, it claims that logarithmic functions should not be introduced structurally, as inverse exponential functions. Instead, several operational models of the logarithmic concept are proposed, and their explanatory power for graphing logarithmic functions is expounded. These models are intended to serve students as a meaningful basis for argumentation.

Source: HAL

Author: Christof Weber

Institution: FHNW University of Applied Sciences and Arts Northwestern Switzerland

Language: English

Topic: Mathematics Education and Teaching Techniques

Subfield: Education

Field: Social Sciences

Domain: Social Sciences

Open Access status: green

OpenAlex ID: W2943716661

FWCI:

Cites: 8

Cited by: 1

Related to: 10