Constructing a consensus problem space from extensive qualitative data for an ill-structured real-life problem and expressing the result to a broader audience is challenging. To effectively communicate a complex problem space, visualization of that problem space must elucidate inter-causal relationships among the problem variables. In this…

The purpose of this article is to conduct a mathematical and phenomenological comparison of three concepts: (1) the finite limit of a function at a point, (2) the finite limit of a sequence, and (3) the infinite limit of a sequence. Additionally, we aim to analyse the presence of these concepts in Spanish textbooks. The methodology employed is…

In recent years, researchers have paid increasing attention to the embodiment of education for sustainable development (ESD) in early childhood education (ECE) policies in various countries, but there is a lack of relevant research in China. Therefore, this study adopts the ESD analytical framework to analyze some representative ECE policies in…

The aim of this study was to investigate the correlation between culturally relevant Black American-sounding names and potential racial microaggressions within problem-solving scenarios in mathematics. Often, marginalized groups are unfairly characterized in society, leading to biased perceptions. Initially, I hypothesized that there would be no…

The aim of this paper is to describe and analyze how a group of prospective teachers create problems to develop proportional reasoning either freely or from a given situation across different contexts, and the difficulties they encounter. Additionally, it identifies their beliefs about what constitutes a good problem and assesses whether these…

This article explores the educational and philosophical contributions of Nikolai V. Bugaev, a prominent 19th-century Russian mathematician and founder of the Moscow philosophical-mathematical school. The study specifically focuses on Bugaev's textbook, "Arithmetic of Whole Numbers," analyzing Bugaev's pedagogical approaches within the…

Business analytics is a fast-growing field that requires a combination of technical, analytical, and communication skills. This article aims to identify the most sought after skills for business analytics jobs based on a content analysis of over 2600 online job postings. The results show that the top skills include analytics, communication,…

This study is concerned with the analysis of mathematical textbook tasks at the second-level in Ireland, in the context of the introduction of the revised curriculum entitled 'Project Maths'. A total of 7635 tasks on the topics of Pattern, Sequences and Series, and Differential Calculus were analysed; these tasks were selected from editions of…

The aim of this study is to reveal and evaluate the attending and interpreting skills of student thinking of prospective teachers, as well as their instructional suggestions as responding skills. The current study was conducted with 29 prospective mathematics teachers (PMTs) within a qualitative design in the context of probability. First, three…

This small-scale study explored the presence of collaborative metacognitive talk (CMT) during collaborative problem solving (CPS) in a Scottish primary mathematics class. Content analysis was conducted on student and teacher group interactions during CPS (n = 12 students in 3 groups × 3 sessions). The largest proportion of CMT was…

Advancement of testing of mathematical problem-solving skills calls for open-ended, realistic tasks particularly susceptible to bias, compromising the score validity and fairness of tests. Informed by universal design principles, this study framed 360 prototype items developed for the "Problem-solving Measures Grades 6-8 Computer Adaptive…

America's strength lies in its inherent diversity--an enduring truth that makes the Eurocentric nature of our educational curricula troubling. Despite this foundational reality, curricular materials remain predominantly Eurocentric, often excluding authentic representation and inclusion of Black/African American experiences in children's and young…