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Developing an integrated framework for analyzing ways of reasoning in mathematics

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dc.contributor.author Sevinc, Serife
dc.contributor.author Kohanová, Iveta
dc.contributor.author Iskakil-Bostan, Mine
dc.contributor.author Kubáček, Zbyněk
dc.contributor.author Isler-Baykal, Isil
dc.contributor.author Lada, Magdalini
dc.contributor.author Cakiroglu, Erdinc
dc.contributor.author Di Paola, Benedetto
dc.date.accessioned 2023-12-07T09:49:23Z
dc.date.available 2023-12-07T09:49:23Z
dc.date.issued 2022
dc.identifier.isbn 978-84-09-45476-1
dc.identifier.uri https://dspace.uniba.sk/xmlui/handle/123456789/146
dc.description.abstract Mathematics education literature involves studies that sought a way of investigating the mode of reasoning in mathematics textbooks because textbooks are the main resource for teachers in planning their mathematics lessons. In this vein, this study aimed to analyze the ways of reasoning in mathematics textbooks that are currently used in five countries: Slovakia, Czech Republic, Italy, Norway, and Turkiye, as a part of a Horizon 2020 Project. We initially started with a framework that aimed to examine the effect of teachers’ participation in the lesson study on the improvement of students’ mathematical reasoning (Project LESSAM). However, as the textbook analysis of different countries proceeded, we realized that this framework would not solely be sufficient to address the types of reasoning with alternative tasks presented in those textbooks. Thus, our framework development followed four main steps: (1) starting with a proposed framework that focused on different types of reasoning (2) identification of reasoning and proof tasks among worked examples, (3) categorization of ways of reasoning through the proposed framework, and (4) developing new categories based on a review of existing frameworks, to cover and differentiate all types of reasoning in the worked examples. Hence, in this study, we aim to present the integrated framework that we developed to analyze the ways of reasoning in worked examples (the problems with explained solutions) in the above-mentioned countries’ textbooks. We also discuss future research agenda for analyzing mathematics textbooks with this integrated framework. en_US
dc.description.sponsorship This project has received funding from the European Union’s Horizon 2020 research and innovation programme under grant agreement No 951822. H2020 číslo 951822, Enhancement of research excellence in mathematics teacher knowledge, acronym MaTeK (projectmatek.eu). en_US
dc.language.iso en en_US
dc.publisher IAETED academy en_US
dc.subject mathematical education en_US
dc.subject ways of reasoning en_US
dc.subject mathematics worked examples en_US
dc.subject mathematics textbook analysis en_US
dc.title Developing an integrated framework for analyzing ways of reasoning in mathematics en_US
dc.type Article en_US


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