This dissertation is about a particular style of research. The philosophy of this style is that in order to scientifically understand deep learning, it is fruitful to investigate what happens when neural networks are trained on simple, mathematically well-defined tasks. Even though the training data is simple, the training algorithm can end up…

This case study involves one public school in a suburb of a major metropolitan area, focusing on one classroom of first grade students selected from a pool of volunteer classrooms. The first grade class of students, during their regular mathematics instruction, were given three tasks by their teachers designed to elicit a productive struggle…

This article provides an analysis of a data set coming from a two-phase qualitative study that focused on fostering primary students' abstraction of interrelations among quadrilaterals (squares, rectangles, parallelograms, rhombuses, trapezoids). The pilot study consisted of work with eight primary students operating at van Hiele level 2 (e.g.,…

Collaborative learning has been advocated for the last several decades. However, classroom practice has indicated that this method often comes with challenges and low efficiency, suggesting the need for better support for teachers. The aim of this study is to explore teachers' learning about collaborative learning in a professional development…

The mathematics education literature indicates a consensus regarding the importance of developing algebraic thinking in elementary school mathematics. However, the approaches used to implement this concept vary around the world. This study examines how a popular standards-based elementary mathematics textbook series in China provides opportunities…

Researchers in physics education have advocated both for including modeling in science classrooms as well as promoting student engagement with sensemaking. These two processes facilitate the generation of new knowledge by connecting to one's existing ideas. Despite being two distinct processes, modeling is often described as sensemaking of the…

Most undergraduate students do not have practical experience working with model organisms despite having theoretical knowledge of their importance. This practical was developed to offer students experience working with three species of nematode, including "Caenorhabditis elegans." In the first task, students prepare slides of three…

We present here the lessons learned by iteratively designing a tutorial for first-year university students using computer programming to work with mathematical models. Alternating between design and implementation, we used video-taped task interviews and classroom observations to ensure that the design promoted student understanding. The final…

Employing a statistical modeling inspired pedagogy is becoming a widespread practice in the statistics education community. Many have incorporated the practice of formulating conjectures in their modeling-enhanced educational designs and have reported on its benefits. We further elucidate the mechanism through which students' conjecturing may be…

This contribution aimed at investigating how work-related reflection as cognitive efforts towards developing an understanding of work tasks, the surrounding work context, and one's professional competencies adds to the role of psychological empowerment and participative safety in predicting innovative behaviour and job crafting as two forms of…

Commencing students in universities today are very diverse with regards to their academic preparation, language, and cultural background. Some of these students are also first in family to attend university. With such diverse student profiles and previous learning experiences, it is possible that some students may not be confident to employ the…

This article presents a modified version of the bridge drawing assessment administered to a substance use disorder population at admission and discharge from a residential addiction treatment center. Following an overview of the bridge drawing assessment and method, the authors present two case descriptions that illustrate how the modified task…

Completion of an escape room activity requires participants to work as a team to find hidden clues and solve challenging puzzles to escape before time expires. The use of escape rooms for active learning may produce a positive classroom environment by improving teamwork skills, encouraging engagement with course materials, fostering intellectual…

Two case studies of Australian primary school students tracked changes in their data interpretation and representation over three years. Students were engaged in predictive reasoning tasks based on their interpretation of a data table showing temperature change over time. Students' explanations and graphical representations were collected at the…

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…