This article reports on a national survey of post-secondary mathematics instructors (n = 458) of mathematics courses designed for elementary teachers. The article links the use of various instructional practices to instructor characteristics. Specifically, there were statistically significant differences in reported use of class time depending on…

The aim of this study was to determine the strategies teachers offer to provide students with experience solving problems in the classroom. A total of 15 secondary school teachers serving in secondary schools were observed through 10 classes each, with no emphasis on the topics covered and grade levels taught. The researcher observing the classes…

This study investigates how three widely used calculus textbooks realise integrals as a potential to prompt mathematical competencies, adapting the rating scheme used in Boesen et al. ("The Journal of Mathematical Behavior," 33:72-87, 2014), Pettersen and Braeken ("International Journal of Science and Mathematics Education,"…

Research Findings: These two studies examined the different mathematical opportunities provided in preschool classrooms, with a particular focus on the availability of mathematical-themed books in classroom libraries. In study one, we interviewed teachers (N= 150) using an online survey to assess the content of preschool classroom libraries. In…

The duo of artefacts is a simplified model of the complex systems of various manipulatives (either tangible or virtual) that mathematics teachers and their students use in classrooms. It offers a means to study the complexity of the interweaving of the tangible and of the digital worlds in the teaching and learning processes. A duo of artefacts is…

Several researchers have promoted reimagining functions and graphs more quantitatively. One part of this research has examined graphing "conventions" that can at times conflict with quantitative reasoning about graphs. In this theoretical paper, we build on this work by considering a widespread convention in mathematics teaching: putting…

Mathematics, when viewed as a subject to be studied, is a long-established polarising discipline; people's feelings are always passionate and deeply rooted in their identity. Self-identified 'maths people' may end up in careers driven by their fascination with numbers; engineers, architects, analysts, whilst those on the opposite end of the…

Students with disabilities and/or those who have difficulty learning mathematical concepts can be found in almost every classroom. Over the last several decades, the responsibilities and roles of general and special education educators have shifted, blurring the conventionally held boundaries between special education and general education…

This dissertation conducted two studies that examined two methods of instructional planning to effectively match students to a whole number computation intervention that would best meet their needs. Study 1 was a systematic synthesis of all studies that used brief experimental analysis (BEA) to determine an effective mathematics intervention for…

The aim of the current research is to know the effect of teaching mathematics using the PDEODE teaching strategy supported by the e-learning environment in developing the conceptual understanding and problem-solving skills among the fourth grade of the primary stage. To achieve the research objectives, the experimental approach was in its…

The learning of calculus concepts is considered challenging for students. This claim is actual for calculus in general and for specific concepts in particular. In this paper, we focus on the concept of the inflection point. We argue that one of the roots of this problem is the lack of a useful and productive meaning of the concept--the…

Researchers strive to create learning environments where they can apply technology and different teaching methods together. Flipped learning has been a popular approach in recent years because it offers opportunities for both online and offline learning. The present study aims to conduct a thematic analysis of articles on the use of the flipped…

The aim of the study was to investigate the validity level of Socrates-based linear algebra e-module, both material validity and design. This is a research and "development" (R&D) with ADDIE procedure: analysis, design, develop, implement, and evaluate. The participants were 30 students and 2 lecturers who supervised linear algebra…

Calculus is traditionally tested, at least in part, by a closed book written examination taken under secure conditions. In March 2020, two-thirds of the way through a vector calculus course, our institution went into lockdown and all teaching and assessment had to shift online. While some teachers insisted that remotely written non-proctored…

In this study we aimed to capture the characteristics of Chinese high-quality lessons from a lesson structure perspective, specifically addressing the elements of teaching activity and their sequence. Sixteen videotaped middle school mathematics lessons were selected from 224 daily lessons collected from urban districts in five cities located in…