The present study aimed to examine the opinions of in-and preservice middle school mathematics teachers about teaching four operations with integers through "number line" and/or "counters". Participants were 42 middle school mathematics teachers and 51 pre-service mathematics teachers. The data were collected through open-ended…

A review of related research found the use of recorded lecture videos (RLVs) in undergraduate mathematics to be negatively correlated with academic performance. To investigate this correlation, an initial study found students' regular RLV use to be linked to surface approaches to learning. The present study continued this investigation and was…

This study examined the effect of information and communication technologies (ICTs) on intellectually disabled children's academic achievement in teaching mathematics. Hundred children with mild to moderate levels of intellectual disability participated in a four-week experiment in two groups. The results showed that (1) the experimental group…

Noticing students' mathematical thinking is a complex, but important practice for preservice secondary mathematics teachers (PSMTs) to develop. This practice is further complicated when secondary students use technology, as it requires the dual and interconnected attention to students' mathematical thinking and the ways they engage with the…

Recently, teacher recruitment and retention has been the focus of the government and a step taken to support recruitment was the abolishing of the skills tests. Initial teacher training providers became responsible for assessing trainees' mathematicsrather than having it externally assessed. The purpose of this literature review is to synthesise…

The School of Engineering of the Polytechnic of Porto (ISEP) has embraced the DrIVE-MATH project, since September 2017. Active-learning (AL) techniques were implemented in several Math courses, namely Linear Algebra and Analytic Geometry, Probability and Statistics, Statistical Models, Computational Mathematics, and Differential and Integral…

It is known that students have many misconceptions about concepts related to function. By discovering misconceptions using an appropriate measurement instrument, we can determine what changes we need to make in the real functions curriculum to improve learning outcomes. Therefore, we designed an item bank for measuring conceptual understandings of…

This study addresses three aspects of the attitude towards mathematics: usefulness, interest, and recognition of the social roles of mathematics. Mathematical modeling activities were developed and conducted with engineering students. We analyzed how the attitude towards mathematics is manifested in this context and what contribution can be to a…

Parents provide motivational and cognitive support within the same interaction, yet researchers have investigated these separately. We examined two key aspects of parental support, praise (motivational support) and spatial language (cognitive support), from fathers and mothers during three tasks with their first-grade children (6-7-year-olds; N =…

The purpose of this article is to report how Year 6 teachers used geometric reasoning tasks to foster students' mathematical attitudes and dispositions by encouraging communication as students constructed mathematical meaning for themselves. The Year 6 teachers implemented two tasks to provide a rich mathematical assessment opportunity…

Most often, flipped classroom approaches in science and mathematics classrooms follow a traditional approach to teaching, where students receive direct instruction as homework and have to apply and deepen their knowledge in a follow-up lesson. Little is known about the arrangements of in-class and out-of-class phases fostering learning through…

This article describes how two high school algebra teachers and their students focused on examining population trends affected by the creation of a highway though a thriving African American community. The authors adopted Dr. Gholdy Muhammad's (2020) culturally and historically responsive literacy framework to guide their anti-racist mathematics…

How does language shape mathematical development? In this article, we consider this question by reviewing findings from cross-sectional and longitudinal research. In this literature, we find that differences in the structures of languages and individual variations in language ability are associated with mathematical performance in both obvious and…

To explain children's difficulties learning fraction arithmetic, Braithwaite et al. (2017) proposed FARRA, a theory of fraction arithmetic implemented as a computational model. The present study tested predictions of the theory in a new domain, decimal arithmetic, and investigated children's use of conceptual knowledge in that domain. Sixth and…

Research on teaching mathematics to children with autism spectrum disorder using parents as mediators is limited. The purpose of the present study was to carry out an initial evaluation of an adapted numeracy programme with three children with autism spectrum disorder from Arabic families in the UK by training and supporting their parents to…