Mastery of mathematical literacy is essential for developing life skills in the 21st century. Mathematical literacy is even more critical in elementary schools as it forms the basis for mastery at the junior and senior high school levels. Elementary school students differ in their characteristics from students at the higher education level. They,…

Current environmental risks, such as climate change and nature loss, force us to look for solutions in every sector of society. A successful sustainability transition requires the manipulation of deep systemic leverage points. Hence, a deep leverage point framework based on sustainability competencies is needed to conceptualise sustainability…

In this paper, we explore the role that examples play as mathematicians formulate conjectures, and we describe and exemplify one particular example-related activity that we observed in interviews with thirteen mathematicians. During our interviews, mathematicians productively used examples as they formulated conjectures, particularly by creating…

This work provides a characterization of the learning of graph theory through the lens of the van Hiele model. For this purpose, we perform a theoretical analysis structured through the processes of reasoning that students activate when solving graph theory problems: recognition, use and formulation of definitions, classification, and proof. We…

The Multimedia Research Laboratory, inserted in the Federal University of Ceará has the Multimedia Mathematics Education Group, in which they study the mathematics teaching with the methodological contribution of the Fedathi sequence (FS). In one of the study meetings, the members raised the issue of how a class in the light of the FS could be,…

The need to develop consistent theoretical frameworks for the teaching and learning of discrete mathematics, specifically of graph theory, has attracted the attention of the researchers in mathematics education. Responding to this demand, the scope of the Van Hiele model has been extended to the field of graphs through a proposal of four levels of…

The miracle question (MQ) is a technique for assessing clients' ability to discover their potential in search of solutions. Educators can train students to use the classic MQ (What would life be without this problem?) to develop solution-focused skills in social work and counseling. This article describes the MQ Variations tool derived from the…

An assessment of graphic literacy was developed by articulating and subsequently validating a skills-based cognitive model intended to substantiate the plausibility of score interpretations. Model validation involved use of multiple sources of evidence derived from large-scale field testing and cognitive labs studies. Data from large-scale field…

We argue that examples can do more than serve the purpose of illustrating the truth of an existential statement or disconfirming the truth of a universal statement. Our argument is relevant to the use of technology in classroom assessment. A central challenge of computer-assisted assessment is to develop ways of collecting rich and complex data…

Attaining equitable education for all is one of the sustainable development goals. Not only the gap of education between urban and rural students but also the gap of access to information and communications technology also exists. Thus, an effort to resolve this gap is necessary. This study combines novel engineering, which is the fusion of…

Background: Research on teaching and learning for science, technology, engineering, and mathematics (STEM) subjects has increased, and has demonstrated the importance of integrating interdisciplinary knowledge and skills. Our research model was based on the theory of planned behavior (TPB) and the data were analyzed by partial least…

There exist many studies on modeling competencies and their promotion; however, there is a need to investigate what modeling competencies are and how they vary in lower and higher-achieving groups of students in mathematics within the current modeling literature domain. This study examined how mathematical modeling competencies were displayed in…

The aim of this study is to validate an instrument to evaluate the teaching of mathematics through mathematical processes using a structural equation model. To that end, we have administered the instrument to 95 in-service Spanish teachers and we have also analysed the presence of mathematical processes (problem solving, reasoning and proof,…

Here, we present a strong test of the hypothesis that sacrificial moral dilemmas are solved using the same value-based decision mechanism that operates on decisions concerning economic goods. To test this hypothesis, we developed Psychological Value Theory. Psychological Value Theory is an expansion and generalization of Cohen and Ahn's (2016)…

The opinions of mathematics teachers about using mathematical modeling (MM) in daily life problems and their use of MM in solving a daily life problem were examined within the scope of the graduate-level MM course in this study. The research was designed as a case study. Participants are five mathematics teachers selected by the purposive sampling…