Modeling Conceptualization and Investigating Teaching Effectiveness: A Comparative Case Study of Earthquakes studied in Classroom Practice and in Science

International audienceOur research addresses the issue of teaching and learning concepts in science education as an empirical question. We study the process of conceptualization by closely examining the unfolding of classroom lesson sequences. We situate our work within the practice turn line of research on epistemic practices in science education. We also adopt a practice turn approach when it comes to the learning of concepts, as we consider conceptualization as being inherent within epistemic practices. In our work, pedagogical practices are modeled as learning games and epistemic practices in science education are characterized as enacted epistemic games emerging through the unfolding of learning games. Science practices are modeled as source epistemic games since they are the source of the knowledge at stake in pedagogical practices. From this point we examine closely how playing learning games can enable students to play enacted epistemic games and then in turn the source epistemic games at the core of conceptual understanding. Thus, the main contribution of this paper is to link pedagogical practices to epistemic practices in science education and to science practices in general. Our method is consistent with this epistemological framework as our case study on the concept of earthquakes in a 5th grade classroom sequence illustrates. Following an investigation of two experienced teachers and their classes during a teaching unit, our analysis shows how teaching effectiveness is determined by a dialectic. This entails on the one hand a didactic continuity between learning games and enacted epistemic games and, on the other, an epistemic continuity between enacted epistemic games and source epistemic games

Teaching and learning about whole numbers in primary school

This book offers a theory for the analysis of how children learn and are taught about whole numbers. Two meanings of numbers are distinguished – the analytical meaning, defined by the number system, and the representational meaning, identified by the use of numbers as conventional signs that stand for quantities. This framework makes it possible to compare different approaches to making numbers meaningful in the classroom and contrast the outcomes of these diverse aspects of teaching. The book identifies themes and trends in empirical research on the teaching and learning of whole numbers since the launch of the major journals in mathematics education research in the 1970s. It documents a shift in focus in the teaching of arithmetic from research about teaching written algorithms to teaching arithmetic in ways that result in flexible approaches to calculation. The analysis of studies on quantitative reasoning reveals classifications of problem types that are related to different cognitive demands and rates of success in both additive and multiplicative reasoning. Three different approaches to quantitative reasoning education illustrate current thinking on teaching problem solving: teaching reasoning before arithmetic, schema-based instruction, and the use of pre-designed diagrams. The book also includes a summary of contemporary approaches to the description of the knowledge of numbers and arithmetic that teachers need to be effective teachers of these aspects of mathematics in primary school. The concluding section includes a brief summary of the major themes addressed and the challenges for the future. The new theoretical framework presented offers researchers in mathematics education novel insights into the differences between empirical studies in this domain. At the same time the description of the two meanings of numbers helps teachers distinguish between the different aims of teaching about numbers supported by diverse methods used in primary school. The framework is a valuable tool for comparing the different methods and identifying the various assumptions about teaching and learning.</p