The Nature of Argumentation in School Mathematics and Physics Texts: The Case of Periodicity

The present study explores reasoning and argumentation in Greek mathematics and physics texts in specific topics related to the notion of periodicity. In our study, argumentation is taken as the sequence of the modes of reasoning (MsoR) that an author develops in a text when organizing and presenting new knowledge. Inductive content analysis was applied on 71 thematic units taken from 4 mathematics and 4 physics textbooks, and a coding system of categories and subcategories of MsoR was produced. Our analysis discerned 4 main categories of MsoR: empirical, logical-empirical, nomological, and mathematical; we argue that each mode of reasoning (MoR) plays a different role in conceptualizing aspects of periodicity. Analysis of the sequence of MsoR in two thematic units raised pragmatic considerations on the text understanding in relation to the scientific argumentation discourse and highlights ontological differences in the two subjects when ascending from observations to generalizations. Educational implications of the findings are discussed.     

Teacher Educators’ Activity Aiming to Support Inquiry Through Mathematics and Science Teacher Collaboration

This study explores teacher educators’ (TEs’) activity as they support mathematics and science teacher collaboration in co-designing and jointly implementing tasks. We view TEs’ activity through the lens of Activity Theory and expansive learning and draw evidence from data generated within the mascil project that linked mathematics and science teaching with workplace situations through inquiry-based teaching. We focus on five TEs’ actions and goals, use data from their professional development sessions with teachers and from the TEs’ interactions during their own meetings, and highlight the illuminating case of one teacher educator. We trace evidence indicating paths of actions followed by each Teacher Educator and look for indications of their professional learning. Our analysis reveals generic and content-focused actions. All TEs faced different kinds of contradictions and had difficulties handling them. In terms of professional learning, all TEs adapted their prior teacher education practices and appreciated the critical role of epistemological differences between the two disciplines.

     

Students' argumentation in decision-making on a socio-scientific issue: implications for teaching

This study explores the arguments used by 14-year-old students in making decisions about the design of a road in their area. The whole activity was based on an actual problem at the time the research took place. The procedure was a sequence, where students worked first individually, then in groups and finally they had to take a class decision. Then they had to realize one of the final proposals and design the construction of a bridge that their planning had involved. This paper first elaborates the general perspective of such an approach; it then describes the process of argumentation and analyses the nature of the students' arguments, which are discussed on the basis of a specifically constructed network.