Children display an early sensitivity to implicit proportions (e.g., 1 of 5 apples vs. 3 of 4 apples), but have considerable difficulty in learning the explicit, symbolic proportions denoted by fractions (e.g., "1/5" vs. "3/4"). Theoretically, reducing the gap between representations of implicit versus explicit proportions…

Personalized sequencing and recommendation of pedagogical actions in virtual learning environments are relevant aspects in promoting an effective learning process with computer-aided support. Hence, this work investigates the use of automated planning to sequence these actions according to student profiles. Actions are modeled to correspond to the…

There is an increased demand for useful measures that capture students' math learning during intervention. Similarly, there is an awareness of the importance of researchers observing guidelines for study quality in publishing intervention results, including information related to outcome measures. We investigated the characteristics of outcome…

This study employed a qualitative research design to describe and analyze self-regulation processes (monitoring and control) of the novice middle school mathematics teachers in terms of teaching activities. The participants consisted of six mathematics teachers with five or less years of teaching experience. The data of the study were mainly…

Slamecka and McElree (1983) and Rivera-Lares et al. (2022), like others before them, factorially manipulated the number of learning trials and the retention interval. The results revealed two unsurprising main effects: (a) the more study trials, the higher the initial degree of learning, and (b) the longer the retention interval, the more items…

According to Social Cognitive Theory, self-efficacy describes students' beliefs in their ability to be successful within a certain task or domain. Though some contributions to self-efficacy are generally accepted, it is important to continue to look for additional factors that contribute to self-efficacy, especially those that provide…

The school and the home are both influential contexts in which a child learns mathematics, and therefore schools and families should work collaboratively to achieve shared goals for children's mathematics learning. In culturally and linguistically diverse areas, schools have richness to draw on but may face additional challenges in engaging with…

Recent meta-analyses have demonstrated a significant association between children's early math achievement and their experiences with math at home, including their caregivers' talk about math. However, few studies have investigated the relations between caregiver math talk and children's learning with experimental designs. Eighty-six children (M =…

The objective of this study is to examine the characteristics of PSTs' selection of real-life examples for discussion, the aspects they attended to during the discussion, and their reflection on facilitating the discussion. A total of 46 elementary PSTs in the US joined in the study. We gathered data from a three-phase task using an online course…

In this paper, we review algorithmic bias in education, discussing the causes of that bias and reviewing the empirical literature on the specific ways that algorithmic bias is known to have manifested in education. While other recent work has reviewed mathematical definitions of fairness and expanded algorithmic approaches to reducing bias, our…

This study examined the temporal relationship between attitude toward mathematics and mathematics achievement among first-year secondary (i.e. middle) school students (grade 7, about 14-15 years) with a focus on sex differences in Central Uganda. Random-intercept cross-lagged panel models, based on structural equation modeling, were used to…

Research suggests that tasks that use technology as a reorganizer (technology is used to produce dynamic representations) are linked with the development of students' conceptual knowledge, yet many secondary mathematics textbooks in the USA predominantly include tasks that use technology as an amplifier (technology is used to produce static…

The udu is a traditional Nigerian percussion instrument that can be thought of as a Helmholtz resonator with two apertures. We use a simple two-particle mechanical analogue to study the behaviour of such a resonator and find that the model describes quite well the main features of udu acoustics.

From a teacher's perspective, teacher learning happens through a complex web of learning experiences. However, research on teacher professional development (PD) typically focuses on the direct influence of single activities or programs. PD researchers less often acknowledge the interactive impacts on teacher learning of the multiple experiences…

Currently, many relevant problems about intuitive imagination literacy have been studied except the cognitive degree of pre-service high school mathematics teachers about it. To address this gap, this study investigates 51 pre-service high school mathematics teachers. Results showed that: (1) The cognitive scope of them about intuitive imagination…