In this study, we examine "what went wrong" in our professional development program for encouraging cognitively demanding instruction, focusing on the difficulties we encountered in using an observational tool for evaluating this type of instruction and reaching inter-rater reliability. We do so through the lens of a discursive theory of…

We contribute to the understanding of teacher noticing by focusing on what a teacher may notice in students' mathematical contributions in the context of problem-based lessons. Complementing approaches to research on noticing that focus on individual teachers' perceptual, cognitive, or situated skills, this conceptual article offers four…

Background and Aims: Students with intellectual disability benefit from high-quality instruction in reading and mathematics. Methods: This Theoretical Paper outlines the need for effective, evidence-based instructional practices for this population and the potential for observation research to inform such advancements. We report our systematic…

In this article, the authors share two examples of student engagement in visible, mathematical thinking through a Chalk Talk within the four walls of the classroom, as well as the connected spaces of online learning. Five steps for facilitating the Chalk Talk are outlined, with descriptions of teacher moves for each step. The silent thinking…

Background: Numerous studies show that active and engaging classrooms help students learn and persist in college, but adoption of new teaching practices has been slow. Professional development programs encourage instructors to implement new teaching methods and change the status quo in STEM undergraduate teaching, and structured observations of…

Most studies of mathematics teacher noticing employ information-processing-based models of noticing. While information processing has been used productively to research the cognitive requirements of noticing, critics have argued that these accounts conceptualise noticing as a relatively passive and mental act. This paper demonstrates how an…

Purpose: This study aims to develop a self-reflection scale useful for teachers to improve their skills and to clarify the Japanese teachers' characteristics during mathematics lesson observation (MLO). In MLO, it is important to understand the lesson plan in advance to clarify observation points, and we aim to develop a scale including these…

This paper focuses on patterns of instructional practices in mathematics classrooms in two Nordic contexts, Finland and Norway. While sharing some key features in terms of ways of organizing schooling and education, these two contexts also exhibit interesting differences in instruction at the classroom level. In using a standardized coding manual…

In the context of a professional learning research project we investigated the nature of support offered to classroom teachers and school mathematics leaders to facilitate teachers' implementation of sequences of challenging tasks. End of year questionnaire data were collected from 70 Foundation to Year 2 teachers and ten numeracy leaders who…

This study explores the types of mathematical connections established in the classroom in the teaching of functions. An extended model for mathematical connections (different representations (DR), procedural (PC), if-then (I-T), part-whole connections (PWC), feature/property (F/P), analogies, and instruction-oriented connections (IOC)) is used as…

This review examines a range of lesson observation frameworks designed for and used in the observation of teaching in mathematics. This includes frameworks specifically designed for international comparisons of teaching practices and teacher effectiveness, as well as those used for teaching development. Five chapters focus on: (1) Introduction…

The purpose of this study is to understand how and what leaders (a principal, district coach, regional coach, and district assistant superintendent) professionally noticed within a video club context as they watched mathematics lessons. Professional noticing refers to the extent to which leaders are able to move beyond forming general descriptions…

In this article Dan Jazby also explores the issue of noticing, but this time from the teacher's perspective. Dan argues that teacher noticing is a purposeful activity that requires both the technical skills to recognise how students are thinking and the tactical skills to know when and where to look for particular cues.

The aim of this action research was to make significant changes to mathematics teaching in a combined second and third primary school class based on the characteristics of high-quality mathematics teaching. A further aim was to improve student satisfaction with the lessons. The changes in teaching were systematically monitored and reflected upon…

Mathematics standards and practices highlight the vital role that language plays in mathematics education. However, there remains a common misconception that mathematics is somehow language-free or less linguistically demanding than other content areas. This qualitative study describes an intervention implemented in six elementary mathematics…