Mathematical arguments are central components of mathematics and play a role in certain types of modelling of potential mathematical giftedness. However, particular characteristics of arguments are interpreted differently in the context of mathematical giftedness. Some models of giftedness see no connection, whereas other models consider the…

In this paper, we provide an overall perspective on the teaching and learning of discrete mathematics. Our aim is to highlight what research has been conducted in this area and to connect it to existing research ideas for future work. We begin by characterizing discrete mathematics and its role in the school curriculum, highlighting themes,…

Recent policy reforms to the national assessment system in England have altered the way in which teachers undertake assessment. Through an analysis of data from a small-scale interview study with eleven primary teachers in the south and east of England, we examine the ways in which teachers work with assessment software to monitor and track…

Despite efforts to integrate science and mathematics learning in elementary school through carefully designed activities, students' cognitive processes remain relatively untapped as a possible place of intersection. We believe "reasoning" is a productive co-curricular concept that could lead to meaningful integration. We conducted a…

If students are to pursue the mathematical strategies they devise, teachers must be able to notice these strategies in-the-moment, attending to what a student did and interpreting what they understand. Otherwise, teachers might urge students to pursue a different approach. Novice teachers may find it particularly challenging to notice strategies…

We present a design study developed in an Italian school. Taking inspiration from the work of the Russian psychologist V. V. Davydov, we have reformulated some activities of his curriculum for the first grade, in order to adapt them to a didactic project for a fifth grade class. In the paper we firstly expose our theoretical assumptions and the…

Learning to count and to produce the correct sequence of number words in English is not a simple process. In NSW government schools taking part in "Early Action for Success", over 800 students in each of the first 3 years of school were assessed every 5 weeks over the school year to determine the highest correct oral count they could…

The present study evaluated the effects and interaction of item set size and instructional time on students' fluency growth rates with multiplication facts over time when using an Explicit Timing intervention. The first goal was to determine an interaction between set size and instructional time across time that would influence the fluency growth…

Replication studies play a critical role in scientific accumulation of knowledge, yet replication studies in mathematics education are rare. In this study, the authors replicated Thanheiser's (Educational Studies in Mathematics 75:241-251, 2010) study of prospective elementary teachers' conceptions of multidigit number and examined the main claim…

This study investigated the influence of immersive classroom simulation activities on the development of elementary pre-service teachers in two separate mathematics and science education courses that simultaneously focus on pedagogy and content. Participants submitted written personal reflections about their teaching experiences using the…

Teaching and learning of foundational math have emerged as concerns in India, and might be connected with the problems of large classroom sizes and inappropriate curriculum resources. To address these problems of practice, ABC School explored the use of blended learning in three Grade 2 mathematics classrooms (n = 108), while a control group of…

This study provides the first large-scale quantitative exploration of mathematical language use in U.S. classrooms. Our approach employs natural language processing techniques to describe variation in the use of mathematical language in 1,657 fourth and fifth grade lessons by teachers and students in 317 classrooms in four districts over three…

Teaching mathematics online has been highlighted as one of the solutions to the current crisis for education caused by the COVID-19 virus pandemic and subsequent school closures. However, we do not know what attitudes and experience teachers have towards online teaching. The aim of this study was to gain insights into how Japanese teachers were…

Previous studies on metacognitive performance have explored children's abilities during primary school (7-11 years) in abstract and mathematical reasoning tasks. However, there have been no studies evaluating the metamemory processes with spatial tasks in primary school children, and even more generally, only a few studies have explored spatial…

As the field draws to greater consensus around components of productive mathematics classrooms, the need increases to answer questions about how we operationalize and measure these components and how we can actualize such practice in classrooms. This research report shares an analysis from a larger project aimed at describing and quantifying…