Teachers’ Responses to Six-Year-Old Students’ Input: Learning Opportunities in Early Mathematics Education

This study explores how teachers in Swedish preschool classes respond to and elaborate on six-year-old students’ input during mathematics teaching. The aim is to understand how different teacher responses offer different learning opportunities related to numbers and number relations. Data were collected through classroom observations of 145 teaching episodes across 95 preschool classes. Each episode was analyzed using an adapted version of the Mediating Primary Mathematics framework. Four qualitatively different response categories, predefined within the framework, were used to capture variation in how student input was responded to. Although most teaching episodes involved brief confirmations, only a few episodes included elaborations that offered students opportunities to engage more deeply with mathematical ideas. Two teaching episodes were selected for a closer analysis, using variation theory of learning, with the aim of describing the different learning opportunities offered depending on how the teachers responded to and elaborated on student input. The results show that, in both teaching episodes, students were given opportunities to learn that numbers can be represented in different ways. In one episode, the teacher’s elaboration enabled students to learn how to use units of five to count collections larger than five. In the other episode, although groups of five were represented visually, they were not explicitly used as a strategy for determining the total, and no alternative to counting by single units was offered. The study highlights the importance of how teachers respond to student input and how these responses influence what becomes possible to learn in early mathematics education.