When the new programming language Pascal was developed in the 1970's, Walter Gander did not like it because because many features which he appreciated in prior programming languages were missing in Pascal. For example the block structure was gone, there were no dynamical arrays, no functions or procedures were allowed as parameters of a procedure,…

Programming is becoming increasingly common in mathematics degrees as it is a desirable skill for new graduates. However, research shows that its use is mostly restricted to computational or modelling tasks. This paper reports a study on students' perceptions of and difficulties with Lean, an interactive theorem prover introduced as part of a…

Students need to learn and practice computational thinking and skills throughout PreK-12 to be better prepared for entering college and future careers. We designed a math-infused computer science course for third to fifth graders to learn programming. This study aims to investigate the impact of the course on students' knowledge acquisition of…

Threshold concepts have been characterised in the literature as jewels in the curriculum as they can inform teaching and learning practices. Therefore, identifying and addressing threshold concepts in any discipline is critical. The aim of the current study is to explore the existence of threshold concepts in computer programming and specifically…

There has been a renewed interest in creativity as a twenty-first century skill in K-12 mathematics education. However, previous research has paid less attention to creative actions than to other learning outcomes, which are often product- instead of process-based, especially in a programming context. Thus, situated in the context of mathematical…

We present here the lessons learned by iteratively designing a tutorial for first-year university students using computer programming to work with mathematical models. Alternating between design and implementation, we used video-taped task interviews and classroom observations to ensure that the design promoted student understanding. The final…

Using robot programming activities for learning in the classroom is one way to drive interest and engagement in the STEM field among students, especially girls. And this is afield that is particularly characterized by an underrepresentation of women. Accordingly, many countries are increasingly integrating activities related to computer science…

We characterize the recently included programming content in Swedish mathematics textbooks for elementary school. Especially, the connection between programming content and traditional mathematical content has been considered. The analytical tools used are based on the so-called 5E's, a theoretical framework of action, developed within the…

In this paper, I discuss undergraduate students' engagement in basic Python programming while solving combinatorial problems. Students solved tasks that were designed to involve programming, and they were encouraged to engage in activities of prediction and reflection. I provide data from two paired teaching experiments, and I outline how the task…

In this paper, the researchers have tried to solve one of the didactic tasks of an educational institution - the formation of a student's thinking, the development of their algorithmic style of thinking and intelligence. Since an important component of human intellectual development is precisely algorithmic thinking, learning to solve standard…

This memo includes results of data collection from the second cohort of Collaborative Partnership to Teach Mathematical Reasoning Through Computer Programming (CPR2) teachers from classroom implementation of CPR2 in fall 2021. Findings are included for the student pre-assessment, Student Computer Science Attitude Survey, and Learning Mathematics…

The current quantitative study, a naturalistic field experiment, was conducted in a public primary school in Soweto, Johannesburg, with the objective to examine how children's achievement on four assessments at the beginning of Grade R, namely their numeracy, their mathematics-specific vocabulary, their executive functions, and their logical…

The potential benefits from the introduction of programming environments such as "Scratch" for learning mathematics has reactivated research in this area. Nonetheless, there are few studies which attempt to analyse their influence at the stage of Primary Education. We present the results of a quasi-experimental piece of research with…

Cross-curricula opportunities afforded by STEM education (Science, Technology, Engineering and Mathematics education), supports an environment where students can develop twenty-first century competencies. One approach to addressing cross-curricula opportunities in STEM education is the introduction of computer science (computer…

The purpose of this study is to identify secondary computer science (CS) teachers' pedagogical needs in the United States. Participants were selected from secondary teachers who were teaching CS courses or content in a school setting (public, private, or charter) or an after-school program during the time of data collection. This is a qualitative…