MathIS is a new project that aims to reinvigorate secondaryschool mathematics by exploiting insights of the dynamics of algorithmic problem solving. This paper describes the main ideas that underpin the project. In summary, we propose a central role for formal logic, the development of a calculational style of reasoning, the emphasis on the algorithmic nature of mathematics, and the promotion o...

Proofs with logical relations play a key role to establish rich properties such as normalization or contextual equivalence. They are also challenging to mechanize. In this paper, we describe two case studies using the proof environment Beluga: first, we explain the mechanization of the weak normalization proof for the simply-typed lambda-calculus; second, we outline how to mechanize the complet...

The mathematical process Application and Modelling has just been factored into the new mathematics curriculum. Its implication is that even children should now be involved in works of mathematical modelling. Mathematical modelling is deliberated upon in this paper with a view towards supporting the new math curriculum. An example of pupils’ development of a problem representation in this paper ...

We believe that children as young as ten can directly benefit from opportunities to engage in computational thinking. One approach to provide these opportunities is to focus on social game play. Understanding gameplay is commonacross a range ofmedia and ages. Children can begin by solving puzzles on paper, continue on game boards, and ultimately complete their solutions on computers. Through th...

The conceptual framework and initial steps taken by a project that aims to incorporate computational scientific thinking into the university-level classes taken by preservice and in-service teachers (education majors) are described. The project is called INSTANCES, an almost-acronym for incorporating computational scientific thinking advances into education and science courses, and is supported...

Computational thinking is a fundamental skill for problem-solving, it uses computational concepts and other types of such as algorithmic. The experience improving in nursing students using block-based programming environments Code.org, Lightbot, the Python textual language described. results obtained are analyzed by applying pre-and post-test to students. methodological design quasi-experimenta...