THE APPROPRIATION OF A DIGITAL TWO-PANE SCALE FOR/IN TEACHING PROPERTIES OF EQUALITY BY A MATHEMATICS TEACHER IN THE 6TH YEAR OF ELEMENTARY SCHOOL
Digital Resources; Physics Education Technology Platform; Equality Relations; Model of Appropriation of a New Resource.
This research aims to analyze the appropriation of a digital two-pan balance for/in the teaching of Properties of Equality by a 6th-grade mathematics teacher. We refer to the two-pan balance simulator available on the Physics Education Technology (PhET) Platform, identified as the Basic Equality Explorer (BEE). On one hand, the research is grounded in the Theory of Conceptual Fields regarding the analysis of problem situations, operational invariants, and symbolic representations related to the concepts involved in the teaching and learning of the Properties of Equality. On the other hand, the Teacher’s Resource Appropriation Model guided the analysis of the pre-appropriation and original appropriation phases of the BEE. Using the reflective investigation methodology, we developed a study on the resource system of the participating teacher, particularly analyzing their way of teaching the Properties of Equality in a 6th-grade class. The construction and analysis of data on the pre-appropriation process of the resource were conducted through interviews based on the teacher’s handling of the BEE and their planning for its use with students. For the analysis of the original appropriation, classroom observations and interviews were carried out. Among the research results, we discuss the rules of action and invariants that composed their schemes of resource use, as well as the different instrumental orchestrations engendered by the teacher. Broadly speaking, the results suggest that, although the teacher used the two-pan balance in teaching the Properties of Equality when solving the worksheet and using the BEE, they predominantly explored problem situations from an arithmetic perspective. Thus, the "=" sign was treated in its operational sense, as an indicator of a result.