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The Didactic Transposition of the Fundamental Theorem of Calculus

Title: The Didactic Transposition of the Fundamental Theorem of Calculus
Language: English
Authors: Topphol, Vegard
Source: REDIMAT - Journal of Research in Mathematics Education. 2023 12(2):144-172.
Availability: Hipatia Press. Claramunt, 4, Local 2 08030, Barcelona, Spain. Tel: +34-93-302-1226: e-mail: info@hipatiapress.com; Web site: https://hipatiapress.com/hpjournals/index.php/ijep/
Peer Reviewed: Y
Page Count: 32
Publication Date: 2023
Document Type: Journal Articles; Reports - Research
Education Level: Secondary Education
Descriptors: Calculus; Mathematics Instruction; Secondary School Students; Textbooks; Teaching Methods; Mathematical Concepts; Foreign Countries; Definitions; Phrase Structure
Geographic Terms: Norway
ISSN: 2014-3621
Abstract: Using the tools of praxeological analysis and didactical transposition analysis, the treatments of the Fundamental Theorem of Calculus in one Norwegian, Grade 13 textbook is analysed, with a particular focus on the development of the logos block of the FTC. The terms structure, functioning and utility, first introduced by Chevallard in 2022, is further to describe different dimensions of the mathematical object at stake. Through the analysis, a lack in the logos relating to the concept of integrability is identified in the textbook, and consequences of this is explored in relation to a set of tasks found in the book.
Abstractor: As Provided
Entry Date: 2023
Accession Number: EJ1398215
Database: ERIC