In this paper, we are interested in the learning outcomes from undergraduate students' digital experiences of conducting multiple pure and applied mathematics investigations supported by programming technology. Our case study encompasses a sequence of three project-based mathematics courses implemented for over 20 years at Brock University. We…

Background/purpose: This study aims to examine the inferential statistical literacy of mathematics education students based on their cognitive styles--field-dependent (FD) and field-independent (FI). Inferential statistical literacy involves not only understanding statistical concepts such as hypothesis testing and parameter estimation but also…

Computational thinking (CT) has been argued as an essential skill for all students, critical to surviving in the 21st-century era and navigating through a more digital world. Understanding the impact of variables such as gender and age on the development of problem-solving skills is essential for creating equal educational experiences. This…

In this methodological paper, I present an enactivist approach to study how a student becomes coherently aware within a mathematics classroom, observing on the basis of my own observations of the learning of the students, acknowledging myself as part of the context, engaging with features of what I am seeing, demonstrating how through the…

This study combines the concepts of flexibility and partitioning, and aims to probe fourth grade students' flexibility in partitioning strategies. Seven students participated in this descriptive case study. Students were given three partitioning tasks. Forty-eight answers produced by students were evaluated and classified based on the strategies…

This study is an investigation of the possible relationship between clinical interview skills and teacher noticing. In a multiple case study, video-recordings of pre-service teachers' (PSTs') mathematical clinical interviews and their written critiques of a mathematics lesson were examined using qualitative content analysis. Findings suggest that…

To solve an unfamiliar mathematics problem, students of the subject must know more than the appropriate prerequisite content knowledge. They must also know how best to strategically apply their knowledge, how to monitor and gauge the effectiveness of their work, and how to respond (both cognitively and emotionally) to unanticipated results.…

The study used Bayesian and Frequentist methods to investigate whether the roles of linguistic, quantitative, and spatial attention skills are distinct in children's acquisition of reading and math. A sample of 175 Chinese kindergarteners was tested with measures of linguistic skills (phonological awareness and phonological memory), quantitative…

Background: Teachers' self-reported stress is related to the quality of teacher-student interactions and students' learning outcomes. However, it is unclear if teachers' physiological stress is related to child-centred teaching practices in the classroom and whether teaching practices mediate the link between teachers' stress and students'…

In teacher education, enhancing pre-service teachers' higher-order thinking skills (HOTs) is very crucial. The effect of comprehensive professional development in assessment for learning (AfL) on pre-service teachers' HOTs in an algebra course was investigated using a nonequivalent group quasi-experimental design. A total of 129 pre-service…

The notion that mental arithmetic is associated with shifts of spatial attention along a spatially organised mental number representation has received empirical support from three lines of research. First, participants tend to overestimate results of addition and underestimate those of subtraction problems in both exact and approximate formats.…

The authors assessed a battery of number skills in a sample of over 500 preschoolers, including both monolingual and bilingual/ multilingual learners from households at a range of socio-economic levels. Receptive vocabulary was measured in English for all children, and also in Spanish for those who spoke it. The first goal of the study was to…

Types of mathematical learning disability (MLD) are very heterogeneous. Lower scores on mathematics and several cognitive skills have been revealed in samples with MLD compared with those with typical development (TD), but these studies vary in sample selection, making it difficult to generalize conclusions. Furthermore, many studies have…

This study explored teaching early mathematical skills to 3- to 7-year-old children in early childhood education and care (ECEC) and pre-primary education. Teachers in ECEC (N = 206) answered a web survey. The first aim was to determine whether teaching frequency or pedagogical awareness of teaching early mathematical skills varied according to…

Proportional reasoning has been greatly influencing the development of students' mathematical abilities. Along with the area conservation ability, it helps elementary students comprehend area measurement. This exploratory study aimed to produce qualitative-descriptive data on elementary students' proportional reasoning in solving the conservation…