The mechanisms of dissemination of the counting frames in the teaching of mathematics in Spain during the nineteenth century are studied. José Mariano Vallejo and Pablo Montesino proposed them in order to facilitate an arithmetic initiation based on intuition, following Pestalozzi's proposals. The diffusion channels considered were pedagogical…

This review article focuses on the teaching of computer programming in primary school mathematics, as reported by 37 empirical studies. Our findings show that a variety of research methods are used, which often combine qualitative and quantitative approaches. Furthermore, we found the focus of attention to vary from emphasis on the teacher and the…

Computational Thinking (CT) is an emerging topic in school curricula. Different tools exist to support the learning of CT, namely visual programming languages and tangible development platforms (TDP), which are widely used in extra-curricular activities. To date, few tools have been developed that consider both teachers' needs and the school…

This study investigated the computational thinking (CT) practices of eight pre-service teachers through their Scratch and Python programs. Conducted within an undergraduate-level computer science education course, students learned CT concepts via parallel instruction in block-based programming (Scratch) and text-based programming (Python). The…

In this new era, computational thinking is becoming increasingly intriguing for indepth study. The 2022 PISA framework illustrates that computational thinking can play a significant role in solving real-world mathematical problems, both in formulating problems and in mathematical reasoning processes. Many countries have integrated computational…

In-service teachers implementing a science, technology, engineering, and math (STEM) curriculum centered on computational thinking (CT) work with unique content and pedagogical experiences. Understanding how curriculum design and teacher professional development affect curriculum implementation can help researchers understand the critical aspects…

Computational thinking is a means to understand and solve complex problems through using computer science concepts and techniques. While there is an increase in the number of initiatives focusing on coding, whether they (a) address computational thinking and problem-solving skills and (b) use methods of teaching problem solving is yet to be…

In 2010, Nolan and Temple Lang proposed "integration of computing concepts into statistics curricula at all levels." The unprecedented growth in data and emphasis on data science has provided an impetus to finally realizing full implementations of this in new statistics and data science programs and courses. We discuss a proposal for the…

In this study, we propose an integrated hierarchical model of computational estimation strategies (IHMCES), which can be used to organize a set of computational estimation strategies, used by a group of individuals, in strategy ranges. IHMCES can be used for the description of the repertoire, profile and flexibility of individuals regarding the…

The use of technologies in mathematics education at all levels has been discussed extensively for a number of years. It is one of the few themes that was the object of two ICMI studies, the most recent being published in 2010. Two new approaches, emerging lately in the teaching and learning of Mathematics at all levels, will be discussed:…

As students develop understanding and fluency in single-digit operations such as addition, they develop sophisticated strategies and number sense (magnitude, number order, and composition). Deficits in number sense and reliance on inefficient approaches can lead to struggle in mathematics. Intervention research in this area reported effects on…

The adoption of computational thinking in the classroom has been growing in the last years. Its use needs to be supported by the correct digital technologies and teaching methods, and for this, is required, capable teachers. This work aims to understand how computational thinking is addressed by Computer Science Teacher Education courses in…

This study explored teachers' conceptualizations of integrated computational modeling in secondary physics by exposing twelve experienced physics teachers to programming and then analyzing interview responses. Responses revealed that teachers fell along a spectrum of disciplinary boundary-stretching mentalities. This paper presents a preliminary…

Contribution: In this study, an alternative educational approach for introducing quantum computing to a wider audience is highlighted. The proposed methodology considers quantum computing as a generalized probability theory rather than a field emanating from physics and utilizes quantum programming as an educational tool to reinforce the learning…

Algebra I encompasses several topics that serve as a basis for students' subsequent mathematics courses as they progress in school. Some of the key topics that students struggle with is solving linear equations and algebraic word problems. There are several factors that may contribute to this ongoing struggle for students such as the structure of…