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…

This article describes an instructional sequence used with inservice secondary mathematics teachers as part of a graduate course. The instructional sequence focused on designing tasks using Interactive Geometry Software (IGS). This study answers a call for replication studies to investigate the use of an established instructional sequence. Results…

Designed for this study as a conceptual framework comprising particular educational approaches and techniques for mathematics teaching and learning, the Successful Mathematics Classroom (SMC) aimed to promote college students' mathematics self-efficacy, motivation, and achievement. Through using a case study methodology, a range of tests and…

Many students who take a mathematics course as part of their post-secondary education are not enrolled in a mathematically-intensive degree program. This poses a challenge to mathematics departments that, for example, value and privilege more traditional mathematics curriculum: should students in such courses be taught differently than those in…

Tangent lines are often first introduced to students in geometry during the study of circles. The topic may be repeatedly reintroduced to students in different contexts throughout their schooling, and often each reintroduction is accompanied by a new, nonequivalent definition of tangent lines. In calculus, tangent lines are again reintroduced to…

A research project on using comics for teaching mathematics was initiated in one Singapore primary school. One class of Grade 5 (students of age 11-12) students was exposed to comics for mathematics instruction. This paper reports a case study of seven students' perception of the features of the comics instructional package and how these features…

While traditional graphing calculators have become commonplace in high school mathematics classrooms, newer and more powerful connected graphing packages (CGP) are less pervasive. This study observes how four teachers integrate a CGP into their high school mathematics classrooms, with a focus on the challenges the teachers faced and the…

This paper examines the various ways in which university lecturers of large first-year university mathematics courses receive and use feedback on their students' learning with particular emphasis on feedback collected at a mathematics support centre in an Irish university. Drawing on findings from interviews conducted with 13 lecturers at three…

This study used a modified mathematical knowledge for teaching (MKT) framework to compare the "common content knowledge" (CCK) of two groups of purposively selected pre-service primary mathematics teachers (n = 86) in relation to spatial visualization. Specifically, thirty-five pre-service teachers (n[subscript 1] = 35) with a pure…

This paper reports on initial findings from the Visible Maths Pedagogy research project, a collaboration between an academic researcher and two teacher researchers (the paper's authors). The aim of the project was to explore the effects of making pedagogy more visible on students' success in school mathematics. We adopted a Participatory Action…

Introducing the distributivity property of multiplication over addition is a well-known challenge in mathematics education, especially in primary school. As a contribution, this paper presents the results of a cycle of design research that focuses on the design, implementation and evaluation of a modelling activity in which 2nd-grade students are…

The aim of this study was to examine how fifth grade students' critical thinking and problem-solving skills can be developed using practices based on Newman and Weglage's (1993. Five standarts for authentic instruction. "Educational Leadership," 50(7), 8-12) authentic learning standards ("high-order thinking," "depth of…

The current study was conducted with the goal of helping to address the research gap of improving preservice teachers' pedagogical knowledge about probability by investigating how preservice teachers explored concepts of probability during aleatoric music composition, as well as their contemplation process during follow-up reflections focused on…

Engineers who choose to change careers and become mathematics teachers are a specific group as far as their mathematics learning in the context of engineering and their previous work experience are concerned. Regarding mathematics, they mainly engaged in applied mathematics associated with engineering, which is a highly practical field. This…

In this study, we aim to explore the extent of mathematics pre-service teachers' ability to apply their procedural understanding combined with spatial perception for drawing conceptual conclusions related to angles in a pyramid. The participants are 16 pre-service high school mathematics teachers. They have studied solid geometry during one…