Students' procedural knowledge and conceptual understanding of matrices can improve when they use technology, in particular spreadsheets, as a tool. Complex real-world applications of matrix calculations are time-consuming and prone to errors if done by hand, yet calculations can be performed easily with spreadsheets. In this article, the author…

A pilot programme 'Successful Transitions' was conducted by the 'Shannon Consortium' and funded by the Higher Education Authority Strategic Innovation Fund from 2014 to 2016. Second level students who were currently engaged in challenging academic work involving key threshold concepts were selected for instruction designed to improve…

Fraction is one of the important mathematics topics, and it has been determined that students at every grade have misconceptions about fractions. Regarding the fact that technology has been developing rapidly, it is actively used in educational institutions. It has a great number of benefits. It has become inevitable to associate conceptual change…

The aim of this study is to explore Israeli high school graduates' mathematical explanations for the spread of the coronavirus, given that the mathematics required to do so was part of their school curriculum. An online questionnaire consisting of two sections provided a variety of potential framings for explaining the phenomenon. The first…

In mathematics education, digital tools have been used to enhance young children's understanding of specific subject matter. In such implementations, the digital tool can replace, amplify or transform 'ordinary' mathematics teaching. In an initial study, systematization and duplication were identified as critical when young children were to solve…

The goal of the present study is to investigate the impact of procedural and conceptual teaching on students' mathematical performance over time. For this purpose, implicit differentiation and integration by parts were taught in two different ways to first-year university students of two different calculus courses: one course with Conceptual…

In this article, we report the findings of a study conducted with 6 Grade 8 students in the United States. The students posed stories for open number sentences involving addition and subtraction of integers. We analysed the stories posed by the students to build models that describe the conceptual structures behind these posed stories -- the…

Three iterative, 18-episode design experiments were conducted after school with groups of 6-9 middle school students to understand how to differentiate mathematics instruction. Prior research on differentiating instruction (DI) and hypothetical learning trajectories guided the instruction. As the experiments proceeded, this definition of DI…

The main goal of the current study is to develop intervention of learning to promote students' understanding of percentage. The design of the interventions employed the spatial representation of percentage in the form of a bar model and was designed based on the pedagogical concepts of Realistic Mathematics Education (RME). The participants were…

Students often view their role as that of a replicator, rather than a creator, of mathematical arguments. We aimed to engage our students more fully in the creation process, helping them to see themselves as legitimate proof creators. In this paper, we describe an instructional activity (i.e., the "group proof activity") that is…

Classroom research into mathematics and language has studied issues of context specificity such as cultures of explanation or the impact of language policies on practice. More recently, researchers in the domain have started to study issues of content specificity aimed at performing language-responsive mathematics teaching for the learning of…

Despite many studies on students' understanding of the equal sign, little attention has been paid to whole-class discourse on their conceptions of equations with two equal signs. This study analyzed the classroom discourse of 30 fourth graders in Korea who participated in a 5-week classroom teaching experiment. A series of discussions on specific…

This paper analyzes the discursive activity of an upper secondary school teacher on the topic of the derivative. Specifically, we focus on the discursive activity when introducing the three essential concepts related to this topic: the average rate of change, the derivative at a point, and the derivative function. The theoretical framework used is…

The aim of this research is to examine the effect of authentic investigation activities on the reasoning process of ratio concept which has been regarded as the milestone of mathematics and science teaching. In line with this purpose, the research has been carried out with eight 7th grade students attending a public school located in Central…

Learning to use math in science is a non-trivial task. It involves many different skills (not usually taught in a math class) that help blend physical knowledge with mathematical symbology. One of these is the idea of quantification--that physical quantities can be assigned specific numbers (with a unit). A second is to develop an intuition for…