Teacher noticing and its growth toward expertise: an expert–novice comparison with pre-service and in-service secondary mathematics teachers

Although strong references to expertise in different theoretical approaches to teacher noticing have been made in the last decades, empirical knowledge about the development of teacher noticing from novice to expert level is scarce. The present study aims to close this research gap by comparing three different groups of mathematics teachers with different degrees of professional teaching experience—pre-service teachers at the master’s level, early career teachers, and experienced teachers—using data sampled in the frame of the research program from the Teacher Education and Development Study in Mathematics (TEDS-M). Furthermore, the construct of teacher noticing is assessed in a differentiated way by analyzing different noticing facets. Findings confirm that three facets of teacher noticing can be empirically distinguished—perception of important classroom events, their interpretation, and decisions regarding further developments. The results reveal a considerable increase in professional noticing between master’s students and practicing teachers. However, in contrast to other studies, among examples from East Asia, a stagnation or decrease in professional noticing between early career teachers and experienced teachers could be observed. Overall, the study highlights the cultural dependency of expertise development regarding teachers’ noticing.

Overcoming Challenges in Assessing Mathematical Reasoning

Despite mathematical reasoning being necessary for in-depth understanding of mathematical concepts, many teacher experience difficulty in assessing it. Data were collected from 34 primary teachers at 4 Victorian government schools at two post- lesson reflective sessions following lessons with a focus on reasoning. These sessions facilitated teachers’ collaborative efforts to assess their students’ reasoning from students’ work samples. The data included transcripts of all the reflective sessions; written work samples; and associated completed rubrics. Analysis of these data enabled identification of seven challenges teachers experienced in assessing reasoning: Limited guidance provided by curriculum documents; Teachers’ knowledge of reasoning; Teacher noticing and interpretation of student reasoning; Students’ difficulties in articulating their reasoning; Assessing progress in reasoning; Inadequacy of work samples; and Challenges in tracking and reporting student progress in reasoning. The discussion presents strategies to overcome these challenges.

Coaching to develop teacher professional noticing: planning with students and mathematics in mind

PurposeThis paper examines how intentional mathematics coaching practices can develop teacher professional noticing of “ambitious teaching practices” (NCTM, 2020) through connected, collaborative coaching cycles.Design/methodology/approachNarrative analysis is used to examine observations of a mathematics coach and novice teacher to better understand the role of the coach in helping teachers attend to ambitious mathematics teaching (AMT) practices.FindingsThe initial findings of this study suggest that intentional use of focused goals, iterative coaching cycles and a gradual release model of coaching can support shifts in noticing of AMT from being led by the coach to being facilitated by the teacher.Originality/valueThis study offers new insights into the functions of mathematics coaching that can foster shifts in teacher noticing and practice toward AMT. It contributes to the literature on what mathematics coaching looks and sounds like in the context of conversations with teachers, as well as the potential influence that structured, intentional, ongoing coaching supports can have on teacher noticing.