Recent research has shown that two forms of education intervention significantly improve financial outcomes: rigorous, in-depth personal finance courses and additional mathematics coursework. This suggests that a mathematics course that offered systematic, in-depth applications to personal finance could be particularly effective. In this article,…

The results of international comparative studies like PISA and TIMSS attract researchers to conduct studies comparing math contents of curricula directly to each other. Unlike those studies, we compared math contents of Indonesian and Singaporean curricula based on math contents tested in PISA 2012 items. We also enrich the comparison with the…

In this article we review the evidence of the impact of lesson study on student learning, teacher development, teaching materials, curriculum, professional learning and system enhancement. We argue for lesson study to be treated holistically as a vehicle for development and improvement at classroom, school and system levels rather than as a…

This paper deals with the nature of teaching mathematical thinking and presents a case study of a single Japanese lesson where the characteristics of mathematical thinking and the teaching thereof are identified in relation to multiplication. The raison d'être for this teaching is questioned and investigated by looking at how multiplication is…

Drawing upon task-based learning designs from second language acquisition, we critique how mathematics education has primarily conceived of tasks as problems to be solved. We extend the notion of communicative gaps (e.g., opinion and information) into a framework that considers the flows of information that tasks structure and facilitate. We then…

"The Enactment Project" seeks to find out in more detail what is happening in Singapore mathematics classrooms. In particular, the video data of 30 teachers suggests that there is a distinctive Singapore secondary mathematics pedagogy, almost like its DNA, which is characterized by cycles of Development, Seatwork and Review (DSR). This…

Mathematics teachers are vital components in determining what mathematics students have the opportunity to learn. There are a vast number of factors and reasons that influence a teacher's instructional decisions. As such, teachers rely heavily on their curricular reasoning (CR) to make decisions about what content to teach, how that content is…

We describe here lessons learned in designing an early algebra curriculum to measure early algebra's impact on children's algebra readiness for middle grades. The curriculum was developed to supplement regular mathematics instruction in Grades K-5. Lessons learned centered around the importance of several key factors, including using conceptual…

This article examines the role that replication research has played in the development and refinement of mathematics interventions for learners with extensive support needs. By highlighting 16 research studies, we seek to inform stakeholders of lessons learned and knowledge gained through replication. These studies show that when given…

The school system in both the Republic of Ireland [ROI] and Northern Ireland [NI] is configured to accommodate children into discrete educational bands at different stages on their learning journey. Research has consistently shown that the transition from primary to post-primary, which typically occurs between the ages of 11 and 13, is the most…

In 2012 mathematics was assigned a special status within the Irish post-primary school curriculum with the introduction of a bonus points initiative (BPI). Students are now awarded additional credit in their upper post-primary school state examination results if they achieve a passing grade in mathematics at higher level. This extra credit will…

In this article we present the results of a qualitative investigation into the teaching and learning of Taylor series and local approximations. In order to perform a comparative analysis, two investigations are conducted: the first is historical and epistemological, concerned with the pedagogical evolution of semantics, syntax and semiotics; the…

In this paper a didactic proposal is presented which consists of a methodology aimed at secondary level mathematics teachers, the aim of this proposal is to provide the teacher with a tool to design teaching sequences in order to take them to the classroom; These designs have the particularity of incorporating digital technology for the…

It is important to support pre-service teachers in terms of mathematical task design so as to increase the success of their future teaching. The purpose of this study was to evaluate mathematical tasks designed by pre-service primary and elementary mathematics teachers within the framework of task design principles. For this purpose, a total of 43…

The purpose of this research is to evaluate the problems encountered in the process of realizing the continuity of preschool and primary school mathematics education and to determine the use of technology in mathematics education in line with the opinions of teachers. The research is a phenomenological study within the scope of qualitative…