Abstract
In this paper we discuss the articulation between teaching and learning, how to differentiate them and how to establish relations between them, limiting ourselves to aspects dealing with knowledge. The aim is to allow the design of teaching situations more relevant for learning. The characteristics differentiating teaching and learning are used to analyse research studies relative to two time scales, one of the order of months or years and the other of the order of hours. The comparison shows the importance of the grain size chosen to analyse the knowledge involved both in teaching and in learning. On the first scale, the analysis of the students' knowledge and that of the knowledge to be taught are done independently to the extent that students' knowledge is not analysed in reference to the knowledge to be taught (in terms of error or missing aspect) but on the basis of the student's coherency. The decomposition of these two types of knowledge into similar components allows us to compare them and leads us to propose “intermediate notions” between the usual physics knowledge to be taught and the students prior knowledge. These intermediate notions can be rather far from complete correct physics knowledge but are learnable by the students. On the second scale, detailed analysis of a single teaching session and the students' processes during this session needs a fine level of knowledge granularity. Such a level allows us to make hypotheses based on the elements of students' prior knowledge from which they can construct new knowledge and not only on the prior knowledge which has to be modified. This granularity level allows an emphasis on the positive aspects of students' prior knowledge and enables us to construct hypothesis in order to design teaching situations. Making explicit “intermediate notions” in the knowledge to be taught at a rather large level of granularity of knowledge and the positive aspects of students' prior knowledge at a fine level of granularity, are proposed as ways to improve teaching for fruitful learning.
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Tiberghien, A. Learning and teaching: Differentiation and relation. Research in Science Education 27, 359–382 (1997). https://doi.org/10.1007/BF02461759
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DOI: https://doi.org/10.1007/BF02461759