Out-of-field teaching refers to the practice of assigning teachers to teach subjects that do not match their training or education. This paper reports on a study evaluating the impact of a national professional development programme for out-of-field teachers of post-primary school mathematics in Ireland -- the Professional Diploma in Mathematics…

Secondary mathematics pre-service teachers often have different experiences of mathematics and its teaching and learning during their initial teacher education. This paper documents the beliefs about mathematics, its teaching, and its learning, of mathematicians and mathematics educators who teach secondary mathematics pre-service teachers. The…

The pre-service teacher followed in this paper aimed to act as an agent of change during a time of reform in Irish secondary mathematics education. A teacher-researcher led action research project was conducted to depict the reality of the situation regarding the implementation of mathematical problem solving from a variety of perspectives-namely…

Education research journals regularly report on small-scale studies that have been successful in changing mathematics teachers' classroom practices. But it is rare to find professional development programs for teachers of mathematics that have been scaled up and sustained over time. This article reports on a research-informed, large-scale…

It is great to see how the sharing of ideas sparks new ideas. In 2011 Lyon and Bragg wrote an "Australian Primary Mathematics Classroom" (APMC) article on the mathematics of kitchen gardens. In this article the authors show how the kitchen garden may be used as a starting point for proportional reasoning. The authors highlight different…

Presents a study that investigates ways to promote the development of reasoning and problem-solving skills in a secondary mathematics classroom and summarizes the key concepts from sociocultural theory. Examines three cases in which students appeared to resist interaction and communication with their peers. Contains 11 references. (ASK)

Reports on a 3-year study of patterns of student-student social interaction that mediated metacognitive activity in senior secondary school mathematics classrooms. Unsuccessful problem solving was characterized by students' poor metacognitive decisions exacerbated by lack of critical engagement with each other's thinking while successful outcomes…

This paper takes a 'networking of theories' approach to understand the complexity of the phenomenon of agency. We examine an episode, where a kindergarten teacher and nine children work on an addition problem, from three different perspectives: Valsiner's zone theory; Radford's theory of objectification; and Pickering's dance of agency. Our…

This article presents a lesson that focuses on numeracy. In the lesson, students were tasked to find the best path for a new expressway. The purpose of the activity was for students to gain an appreciation of the complexities associated with designing public infrastructure and to put into practice the mathematical skills. This article also…

Proportional reasoning involves the use of ratios in the comparison of quantities. While it is a key aspect of numeracy, particularly in the middle years of schooling, students do not always develop proportional reasoning naturally. Research suggests that many students do not apply proportional methods appropriately and that they often erroneously…

This paper draws on a one year study of three secondary school classrooms to examine the nature of student-student-technology interaction when working in partnership with computer algebra systems (CAS) on mathematical modelling tasks and the classroom affordances and constraints that influence such interaction. The analysis of these data indicates…

Analysis of protocols from think-aloud paired problem-solving sessions of 2 year-11 students found that, although the students were generally successful in coordinating their different, yet complementary, problem-solving roles, their metacognitive decision making was sometimes adversely affected by the social interaction between them. (17…

Describes a study of 2 secondary students working problems over a 10-week period. Information on metacognitive awareness, confidence, and ability were collected through two videotaped sessions and questionnaires. Results suggest impulsiveness and perceived order of merit inhibit effective problem solving. (MTE)