Understanding how struggling students approach math is vital to designing effective math lessons. Many low achieving students rely on a weak knowledge of procedures and attempt calculations without adequate consideration of the problem. We investigated how enabling or preventing premature calculations affected learning math. Students were…

In the core of computational thinking (CT) practices is problem-solving. However, there is little research on connecting CT with problem solving processes. We developed a computer-based assessment on CT that can log students' problem-solving processes and administered it to a group of fifth graders as a pre- and post- measure of a robotics…

The use of learner modelling approaches is critical for providing adaptive support in educational computer games, with predictive learner modelling being among the key approaches. While adaptive supports have been shown to improve the effectiveness of educational games, improperly customized support can have negative effects on learning outcomes.…

There is growing attention to the potential for developing professional learning experiences for content area teachers to infuse computational thinking (CT), which refers to the set of problem-solving practices related to the computer science discipline, into their classrooms. Although research has begun to document professional learning models…

Problem solving is a basic skill needed to function effectively in the working environment. Teachers are no exception to this professional demand. It is of utmost importance for teacher education programs to prepare pre-service teachers with this fundamental competency. The DPACE model is a preliminary effort by two teacher educators to enhance…

Moving from arithmetic to algebraic thinking at early grades is foundational in the study of number patterns and number relationships. This qualitative study investigates mental computational activity in a third grade classroom's and its relationship to algebraic thinking and reasoning. The data sources include classroom observations, field notes,…

This study examined mathematics achievement in school-aged children with autism spectrum disorder (ASD), symptoms of attention-deficit/hyperactivity disorder (ADHD), or typical development (TD) over a 30-month period and the associations between cognitive and reading abilities with mathematics achievement in children with ASD. Seventy-seven…

Increased recognition of the importance of computational thinking as a core skill for all students has led many states to adopt and implement computer science standards, with a focus on teaching computational thinking. Consequently, there is an increased need to prepare educators that are equipped with the knowledge, skills, and instructional…

A key debate in computer science education is whether and how computational thinking (CT) is used within disciplines other than computer science. Broad definitions provide many avenues for developing integrated instruction, as practices within existing activities can simply be reframed in terms of CT. But such general use of the term CT may…

There is little empirical research related to how elementary students develop computational thinking (CT) and how students apply CT in problem-solving. To address this gap in knowledge, this study made use of learning trajectories (LTs; hypothesized learning goals, progressions, and activities) in CT concept areas such as sequence, repetition,…

This study explores the potential of modern board games to foster key competences in primary education. A total of 238 students and 17 teachers from Spain, Romania, and Greece implemented 29 board games targeting Linguistic Communication, Mathematical Competence, and Learning to Learn. The intervention included teacher training, pedagogical…

A concern in engineering education is students adopting a 'recognise and reproduce' approach to problem solving. In this study, an assignment was conceived and analysed through Legitimation Code Theory -- which allows for visualisation of students' thinking, and to illuminate how students construct knowledge in open-ended problem solving. The…

In three experiments, I first examined the correlation between the presence of transformation of stimulus function (TSF) across computation and the presence of TSF across saying and writing for spelling words, and then tested the effects of the establishment of TSF across saying and writing on the establishment of TSF across math operants. Eight…

We investigate upper-division student difficulties with direct integration in multiple contexts involving the calculation of a potential from a continuous distribution (e.g., mass, charge, or current). Integration is a tool that has been historically studied at several different points in the curriculum including introductory and upper-division…

This study explored the mental constructions displayed by pre-service mathematics teachers (PMTs) when applying Cramer's rule. The aim was to reveal the character of mental constructions made around the nature of the solution set of equations and the role of parameters in the solution of equations with parametric coefficients. These mental…