Quantitative reasoning plays a crucial role in students' and teachers' successful modeling activities. In a semester-long teaching experiment with an undergraduate student, we explore how her conception of a graph plays a role in her ability to quantify and maintain quantitative structures. We characterize here Lydia's conception of a graph as one…

Planning and conducting experiments require the application of the control of variables strategy (CVS). Research indicates that older children can learn the CVS by engaging in guided-inquiry activities. It has not been studied yet whether this is also the case for children as young as 6- to 7-years. 145 children aged 6-7 years participated in a…

Enjoyment in learning mathematics is often perceived to be a positive, desirable emotion in the learning process. However, the findings of this study indicate that it can act as a barrier to persevering in mathematical reasoning by reinforcing a focus on habitual behaviours and inhibiting self-regulatory behaviours. The study identifies…

Suicide notes are messages left by individuals who commit suicide or who intend to commit suicide. These written messages express the victims' feelings that were not expressed when they were alive. And thus, this qualitative study intends to investigate the characteristics of linguistic features of suicide notes written by eleven male well-known…

The present study compares two methods for assessing peer influence: the longitudinal actor-partner interdependence model (L-APIM) and the longitudinal social network analysis (L-SNA) Model. The data were drawn from 1,995 (49% girls and 51% boys) third grade students (M[subscript age] = 9.68 years). From this sample, L-APIM (n = 206…

Many research results show that students often highlight "mixed-type" reasoning when tackling problematic situations and problems. This reasoning is based on the simultaneous use of common-sense and mere descriptions of facts, perceived as sufficient to build an "explanation" of observed or proposed situations and problems.…

We systematically compared two coding approaches to generate training datasets for machine learning (ML): (1) a holistic approach based on learning progression levels; and (2) a dichotomous, analytic approach of multiple concepts in student reasoning, deconstructed from holistic rubrics. We evaluated four constructed response assessment items for…

This work presents the result of the application of a didactic sequence designed to understand the concept of the Cavalieri's Principle, supported by the GeoGebra application in its version for mobile phones -- 3D Calculator. For this study, the Theory of Categories of Intuitive Reasoning, by Efraim Fischbein, was used as a conceptual basis. The…

Preliminary empirical research conducted by the leading author has shown that design students using biological analogies, or models across different contexts, often misinterpreted these, intentionally or unintentionally, during design. By copying shape or form without integrating the main function of the mimicked biological model, students failed…

By analysing late nineteenth-century and early twentieth-century psychological and pedagogical recommendations to teachers, focusing on exercises for developing students' voluntary attention, this article investigates how such recommendations intended to develop a bureaucratic ethos, and more specifically the ability to be impartial. Key…

This article examines the mathematics learning experiences in proportional reasoning I created for pre-service teachers in my teacher education course in Canada. The approach aimed to enable pre-service teachers to work on and with their prior mathematics understandings, make connections that were particular to what emerged during group work, and…

Background Researchers have long studied the social stratification of physical activity patterns in terms of 'determinants' of physically active lifestyles. In this article, we set out to explore how Bourdieu's concept logic of practice can be used as an intermediating analytical tool to promote understanding rather than the calculation of human…

The effect of online argumentation and reflective thinking-based science teaching on sixth-grade students' epistemic cognition, metacognition, and logical thinking was explored in this study. The research was carried out in the 2020-2021 academic year when all teaching was online due to COVID-19. Students in the study sample were mostly from…

When a Year 7 student physically reacted to a prompt of another student by anxiously drumming the desk with his ruler, exclaiming "uuuuhh", the initial thought of the observing researcher, Laura, was: "this is an interesting account". This started a reflective journey of first applying robust research methodologies to the…

The online flipped classroom (OFC) has emerged as a new teaching method in universities worldwide, which combines asynchronous and synchronous online learning. OFC differs from the traditional flipped classroom as it does not involve face-to-face interaction between teachers and students. Instead, the class meeting is conducted online, and it is…