Problem posing is a promising teaching method for enhancing motivation and performance in mathematics and more specifically in mathematical modelling. Hence, the goals of our study were twofold: (1) to examine the effects of problem posing on modelling performance, self-efficacy, and task values in solving modelling problems, and (2) to analyze…

The variational thinking of high school students based on mathematical connections was analyzed through a laboratory on linear functions. This qualitative research based on design was developed in three phases: diagnostic test, implementation of the mathematics laboratory and final test, with students from a public institution in Barranquilla,…

This article explores how seven Swedish digital teaching platforms in mathematics make use of the affordances provided by various modalities and dynamic functions. A model based on social semiotics is used to analyse how dynamic functions are used, whether or not the language is technically oriented, if relational or operational processes are…

Assessing scientific modeling competence (SMC) is challenging because of the multi-dimensionality of the construct and the potential variability of student performance across tasks. To deal with the challenges, this study applied Kane's validity framework to assess high-school students' SMC in Newtonian mechanics and examined how students'…

Statistics teaching at the high school level needs modernizing to include digital sources of data that students interact with every day. Algorithmic modeling approaches are recommended, as they can support the teaching of data science and computational thinking. Research is needed about the design of tasks that support high school statistics…

The Cell Phone modeling task centers on a Fermi real-world estimation question. The task and rubric can be used at different grade levels to focus on the modeling process and classroom community. Finding time and space to engage students, especially novice modelers, in mathematical modeling can be a challenge, yet the benefits of modeling are…

We conducted an experiment to determine the impact of short-term pressure on 1,228 Grade 8 students' outcomes when performing simple math exercises. We required all students to complete 100 simple math questions for 90 seconds. We analysed students' results and then divided them into three groups: (i) a control group who did nothing; (ii) a group…

The present study examines secondary school students' geometrical figure apprehension based on Duval's theoretical framework regarding perceptual, operative, and discursive apprehension. The aim is to explore the cognitive structure of the geometrical figure apprehension dimensions (operative, discursive, and perceptual) in three grades of…

Objective: Socially-relevant and controversial topics, such as the climate crisis, are subject to differences in the explanations that scientists and the public find plausible. Scaffolds can help students be evaluative of the validity of explanations based on evidence when addressing such topics and support knowledge gains. Method: This study…

Worldwide, teachers are expected to engage their students in authentic practices, like scientific modeling. Research suggests that teachers experience challenges when integrating modeling in their classroom instruction, with one explanation that teachers themselves lack the necessary modeling competence. Currently, theoretical conceptualizations…

The purpose of the study is to evaluate how prospective mathematics teachers (PMTs) modify tasks to facilitate students' learning of pattern generalization through the use of their mathematical knowledge for teaching. Case study, which is a type of qualitative research method, was used to determine the mathematical characteristics that PMTs use…

The number line is a model that is used to measure, count, order and even operate, which requires a symbolic interpretation. Then, we investigate the conceptions of 72 in service secondary teachers, when they manage the model of the number line associated with order, spatial location and the relative position between numbers and marks. In a…

The aim of the study was to investigate the effect of the Common Knowledge Construction Model (CKCM) on 10th-grade students' conceptual understanding of the buoyancy and density of liquids topic. Within a pre-experimental (one group pre-test/post-test) research design, this study was conducted with 22 of 10th-grade students. To collect data, the…

This study adopts a holistic single-case design to explain the task design processes of mathematics student teachers (MSTs) regarding History, Theory, Technology, and Modeling (HTTM). A criterion sampling method was used to select nine MSTs who had successfully completed "algorithms and programming" course. Video analyses, written answer…

Feedback loop reasoning is an essential part of systems thinking, which includes the analysis and description of system behaviour and regulative measures. In feedback loops, every change can simultaneously represent a cause and an effect. Research on reasoning in feedback loops is limited to investigating students' existing mental models. This…