Student teachers’ work on instructional explanations in multiplication – representations and conversions between them
Anita Valenta and Ole Enge
In this study we are analysing student teachers’ instructional explanations. The study is based on student teachers’ written work on two different tasks about different strategies and properties in multiplication and explaining these. Our research questions concern the type of representation registers student teachers use in their explanations. In explanations where several representation registers are used, we analyse what can be challenges in conversions between representations. Data is analysed using the framework of Duval’s cognitive analysis, and analyses and discussions are related to development of mathematical knowledge for teaching.
Anita Valenta is Associate Professor in mathematics education at Sør-Trøndelag University College in Trondheim, Norway. Her main interest is in developing a knowledge base for mathematics teacher education, research in student teachers’ mathematical knowledge for teaching and algebra in the early grades.
Ole Enge is Associate Professor in mathematics education at Sør-Trøndelag University College in Trondheim, Norway. He is interested in developing a knowledge base for mathematics teacher education, research on instructional routines in mathematics teaching and students’ proportional reasoning.