Metacognitive self-regulation is the ability to organize an individual's mental activities according to his/her goals, and it has been found to affect students' mathematics achievement. However, its relationship with problem-solving and posing skills is still not clarified. This study aims to examine the mediating role of metacognitive…

Recent scholarship around teaching elementary mathematics supports the learning of early algebra with 5- to 12-year olds. However, in spite of the recognition of the affordances of early algebra, issues about how to introduce it remain open. Within this context, Davydov's work is often cited as a source of impressive demonstration of young…

Background & aims: In recent years, there has been an increased interest in analyzing the mathematical performance of students with learning difficulties in order to provide them with teaching methods adapted to their needs. In particular, the importance of studying the type of informal strategy that students use when solving problems has been…

Prior work exploring preschool-aged children's reasoning with repeating patterns has shown that patterning ability is an important predictor of math achievement; however, there is limited research exploring older children's growing pattern task performance. The current study tested whether presentation format impacts performance on growing pattern…

Mathematical literacy and numeracy are critical for students during school and post-graduation, however, many U.S. students do not develop the mathematical skillset needed for college or the workplace, despite curricular importance placed on solving problems encountered in mathematics classrooms and spaces. Part of this skillset for critical…

Education is one of the most vital sectors of any nation's development. Site selection for Education Centers (EC) like schools, colleges, and coaching centers can be a very complex process. Various parameters like population, literacy rate, property cost, etc. have to be considered while selecting a site. Though deterministic approaches employed…

A series of distinctive gap-fill activities were designed to provide practice and test students' knowledge in retrosynthetic analysis. Developed and tested during the COVID-19 pandemic, the activities allow students to work through authentic multistep syntheses of various organic target molecules. Students were asked to identify appropriate RSA…

The current article describes an exploratory study that focussed on joint attention behaviour--the basis of interaction predicting productive collaboration--to better understand collaborative problem solving, particularly its social aspects during remote dyadic interaction. The study considered joint attention behaviour as a socio-linguistic…

Everyone, including teachers, is prone to randomness misconceptions. In this article, we investigate the perceptions of randomness held by New Zealand secondary school teachers. The responses to a question asked in an online, anonymous questionnaire sent to New Zealand teachers will be explored. One question asked participants to create a sequence…

What does it mean to "make sense" of physics? It's not a simple question. Most people have an intuitive feeling for when things do (or do not) make sense to them. But putting this feeling into words--especially actionable words--is another task entirely. Generally speaking, there are two ways in which we commonly use the term "make…

In a typical first physics class, homework consists of problems in which numerical values for physical quantities are given and the desired answer is a number with appropriate units. In contrast, most calculations in upper-division undergraduate physics are entirely symbolic. Despite the need to learn symbolic manipulation, students are often…

Research shows that though some students can easily find the correct solutions to the problem(s) at hand, the algorithms that these students create are not always ones that would, when implemented, produce the correct solution(s). Towards shedding light on this phenomenon, the present study explicates a mechanism--accounting for features of the…

When authoring physics problems, professors may develop an intuition for how much information they need to provide such that the problem has a unique answer and is not over constrained. It is an open question as to whether using intuition leads to a sufficiently broad range of problems. In this paper we discuss a systematic way of authoring…

This article recounts the life of mathematician Leonhard Euler and discusses the use of Graph Theory in student learning.

Predicting student problem-solving strategies is a complex problem but one that can significantly impact automated instruction systems since they can adapt or personalize the system to suit the learner. While for small datasets, learning experts may be able to manually analyze data to infer student strategies, for large datasets, this approach is…