ERIC Number: EJ1233141
Record Type: Journal
Publication Date: 2019-Oct
Pages: 38
Abstractor: As Provided
ISBN: N/A
ISSN: EISSN-2014-3621
EISSN: N/A
CAS Assisted Proofs in Upper Secondary School Mathematics Textbooks
Jankvist, Ulfe Thomas; Misfeldt, Morten
REDIMAT - Journal of Research in Mathematics Education, v8 n3 p232-266 Oct 2019
This article addresses the didactical effects of CAS assisted proofs in Danish upper secondary mathematics textbooks as a result of the 2005 reform that introduced CAS as a part of the upper secondary level curriculum (and examinations). Based on a reading of 33 upper secondary school mathematics textbooks, 38 instances of CAS assisted proofs are identified in ten different textbooks. The CAS based proofs in these textbooks are of three types: complete outsourcing of the proof to CAS; partial outsourcing of the proof to CAS; and additional verification of the proof' correctness by CAS. The analyses draw on theoretical constructs related to both proofs and proving (e.g. proof schemes) and to use of digital technologies in mathematics education (lever potential, blackboxing, instrumental genesis). In particular, the analyses make use of a distinction between epistemic, pragmatic and justificational meditations. Results suggest both potential problems with using CAS as an integrated part of deductive mathematical proofs in textbooks, since it appears to promote undesired proof schemes with the students, and difficulties with understanding these problems using the constructs of epistemic and pragmatic mediations that are often adopted in the literature regarding CAS use in mathematics teaching and learning.
Descriptors: Computer Uses in Education, Computer Assisted Instruction, Secondary School Mathematics, Mathematical Logic, Textbooks, Textbook Content, Mathematics Instruction, Foreign Countries, Computation, Persuasive Discourse, Logical Thinking, Algebra, Mathematics Skills
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Publication Type: Journal Articles; Reports - Research
Education Level: Secondary Education
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A
Identifiers - Location: Denmark
Grant or Contract Numbers: N/A