Professional learning in mathematical reasoning: reflections of a primary teacher

Reasoning is an important aspect in the understanding and learning of mathematics. This paper reports on a case study presenting one Australian primary teacher’s reflections regarding the role played by a professional learning program in her developing understanding of mathematical reasoning. Examination of the transcripts of two interviews identified changes in her perceptions of mathematical reasoning by mapping interview responses against the Mathematical Reasoning Framework (Herbert et al., 2015). This change indicates that a well planned program of professional learning based on a demsonstration is efficacious in developing teachers’ understanding of mathematical reasoning.

Making use of students’ research journals as instruments for detecting students’ reasoning in co-constructing scientific concepts in a German and Australian primary school

This chapter describes two cases, one from Germany and the other from Australia in which science journals were used in classrooms that adopted an inquiry-based approach to teaching science. We are interested in the following research questions:1. In what ways do teachers use journals to promote student learning of science?2. What evidence of reasoning is present in the cases in respect of the use of learning journals?3. When and in which form is feedback given in journals?