Reasoning and Proof in Algebra: The Case of Three Reform-Oriented Textbooks in China

Autor/inn/en	Fu, Yu; Qi, Chunxia; Wang, Jiayao
Titel	Reasoning and Proof in Algebra: The Case of Three Reform-Oriented Textbooks in China
Quelle	In: Canadian Journal of Science, Mathematics and Technology Education, 22 (2022) 1, S.130-149 (20 Seiten)Infoseite zur Zeitschrift PDF als Volltext Verfügbarkeit
Zusatzinformation	ORCID (Qi, Chunxia)
Sprache	englisch
Dokumenttyp	gedruckt; online; Zeitschriftenaufsatz
ISSN	1492-6156
DOI	10.1007/s42330-022-00199-1
Schlagwörter	Foreign Countries; Validity; Mathematical Logic; Algebra; Mathematics Instruction; Textbooks; Instructional Program Divisions; Textbook Content; China + Suchen Sie Ihr Suchwort? Ausland; Gültigkeit; Mathematical logics; Mathematische Logik; Mathematics lessons; Mathematikunterricht; Textbook; Text book; Schulbuch; Lehrbuch; Lehrbuchtext
Abstract	Examining the narratives of algebra content of three popular series of mathematics textbooks in China, this study explored the opportunities for students to learn about reasoning and proof (RP). In this study, we incorporated Davis's subdivision of conjecture into Stylianides's framework. Based on this, we analysed the components of RP (patterns, conjectures, proofs and non-proof arguments), as well as the purposes of each component respectively. The results show that the proportion of RP tasks was less than 40% and there was no significant statistical difference in the number of RP components by grade among the three series of textbooks. On the other hand, across topic levels, there was a significant statistical difference in RP tasks. Furthermore, there were only a few opportunities for developing conjecture precursors and proof precursors. Based on them, we discussed the arrangement and features of Chinese textbooks to explain these differences. (As Provided).
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Erfasst von	ERIC (Education Resources Information Center), Washington, DC
Update	2024/1/01