This paper discusses the relevance of using physical situations to introduce the concept of angles at elementary school. We compare the effectiveness of two geometry teaching sequences. In the first one (physical sequence), the pupils learned the angle concept by experimenting on the playground (i.e. mesospace) and then modelling the situation. In…

A significant challenge of pandemic teaching was creating active small group learning experiences in a synchronous online learning environment. Efforts to address this challenge led to an instructional process, using multiple Google Apps, that was not only effective in an online setting, but has the potential to improve seated small group…

In spring 2018, an inquiry-oriented differential equations course was offered at the Lebanese American University. This paper highlights students' comprehension of some qualitative aspects of differential equations, namely their understanding of the equations and their solutions. It also explores the students' success in moving between the…

College calculus plays an important role in STEM students' degree and career aspirations. One of the key factors considered in assessing a student's ability to be successful in calculus is their proficiency in topics from prior mathematics courses such as algebra and precalculus. This study set out to examine the impact of students' precalculus…

This study investigates teachers' beliefs about the inquiry-based learning approach in mathematics. In particular, as the first research problem, it addresses teachers' beliefs about the appropriateness of inquiry activities for all students, after three years of attendance in a professional development programme, focused on inquiry. As a second…

Implementing inquiry-oriented instructional proposals at the university level collides with many constraints related to the current pedagogical paradigm based on the transmission of previously established works of knowledge. One such constraint comes from defining subjects' curricula by a set of topics to study, not questions to inquire. Our…

The article focuses on study visits from the perspective of mathematical project work. Project work means a systematic organizing method of teaching that is based around a project. The research questions are the kinds of study visits students made, the meaning(s) of those visits, the mathematical content in the visits and how such study visits…

In this paper, we investigate the learning experiences, beliefs and motivations of students in classes where the mathematics teachers have received support for using inquiry-based learning activities. Data were collected from 248 students in the age-range 11-16 using electronic questionnaires. Our results show that key features of inquiry-based…

Among many consequences of the pandemic was an abrupt switch to virtual instruction coupled with feelings of isolation around mandated lockdowns. This situation pushed us to humanize our mathematics classes in ways we had not done previously. Our takeaway from this experience is that community building must be done intentionally and actively. The…

This paper reports on data obtained during semi-structured interviews with students who had recently experienced a guided inquiry approach to learning ordinary differential equations (ODEs) in a service-taught module. Previous research identified the strengths and weaknesses of similar cohorts of students. The results from that research informed…

Tertiary mathematics educators have been shifting towards an active learning approach to teaching. Many external factors support or hinder their transition towards evidence-based instructional practices, including, of recent international interest, the physical learning spaces. In this study in the U.S., I observed and interviewed instructors of…

In this paper, six interviews with course coordinators from two mathematics departments are analysed to better understand the relationship between course coordination and local data in the Precalculus to Calculus 2 sequence with respect to online grading platforms. We highlight several potential coordinator decisions and present illustrative…

The paper describes active learning strategies used in undergraduate college algebra and business calculus courses. There are a variety of active learning strategies described in the literature. We wanted to implement a few that together, satisfy the key characteristics of active learning strategies. The active learning strategies described in…

Teaching mathematics to future engineers while keeping up with real-world scientific evolutions is a challenge with diverse constraints and difficulties. In this article, I present and analyze the design and implementation of a Study and Research Path (SRP) in a statistics class in a French chemical engineering school. An SRP is a project-based…

This study aimed to explore the effects of an instructional intervention in which GeoGebra and the think-pair-share method were used to teach the relationship between the graph of a parametric curve and the derivatives of its component functions. The participants in the study were 19 prospective mathematics teachers. To assess the understanding of…