As computational thinking (CT) is new to teachers, they need support on how CT integration will work. This study examines the use of a hypothetical learning trajectory (HLT) to support teachers in integrating computational thinking into mathematics lessons utilizing GeoGebra. By employing the educational design research (EDR) methodology, the…

We report on a case study of eight grade 5 to 6 students (ages 12-14) involved in a three-day "digital-making summer camp" focused on mathematical problem-solving through block-based programming combined with programmable electronics. Data analysis focused on the computational thinking (CT), mathematics, and problem-solving challenges…

In this paper, we introduce novel instructional approaches to engage students in using modelling with data to motivate and teach differential equations. Specifically, we introduce a pedagogical framework that will execute instructional modules to teach different solution techniques for differential equations through repositories and notebook…

With an increased push to integrate coding and computational literacy in K-12 learning environments, teacher educators will need to consider ways they might support preservice teachers (PSTs). This paper details a tinkering approach used to engage PSTs in thinking computationally as they worked with geometric concepts they will be expected to…

The goal of this paper is to promote the use of R and Python as high-level, free, open-source programming environments that can be used as a computational and visualization tool for teaching differential equations. Both R and Python also allow for creating reproducible dynamic documents using Markdown, which combines live code, plain text, and…

A multiple case study was conducted to investigate how Lego robotics instruction incorporated into a middle grades mathematics methods course could inform pre-service teachers' (PSTs) TPACK through the lens of Social Constructivist Theory. The qualitative data analysis revealed that when instruction on Lego robotics technology is integrated into…

The GeomBot is a drawing robot that combines the well-known strengths and opportunities offered by Scratch with those of Papert's original robotic drawing-turtle. In this study we look at the GeomBot as a physical programmable artifact around which action research with a group of teachers and a researcher was carried out with the aim of designing,…

Scratch is a tool for initial learning of programming, but also for creating educational and entertainment content, making mathematical and scientific projects, simulating and visualizing experiments. This paper examines the effectiveness of Scratch's application in mathematics, in the study of basic geometric shapes. The analysis has shown that…

This article reports on a research project that examined the ways that 10-year-old students, who were using Scratch for coding, engaged with mathematical ideas. Interactive software is emerging that has cross-curricula implications and facilitates thinking in rich, problem-solving environments. Scratch, a free-to-use graphical programming…

Programming with Computer Algebra Systems (CAS) has become an important tool as a support in Computer lectures in Mathematics subjects aimed at Engineering degrees. In this paper, the authors present their teaching experience within the concept "Line Integration" with the help of two specific CAS: DERIVE and MAXIMA. When introducing the…

In response to a recent Canada-wide survey, where it was found that mathematicians use computer programming much less in their teaching than in their research, an exploratory study involving 14 Canadian mathematicians sought to gain a deeper understanding of the place of programming in both contexts. To capture the differences in the degree of…

The article highlights and discusses aspects about the initial perceptions of Computational Thinking of a group of Mathematics teachers in K-12, estimates the contributions of a continuing education course on the subject and addresses possible changes in the participants' way of teaching. The case study was conducted through continuing education…

Recent years have brought the need for new pedagogical approaches that appeal to the involvement and participation of learners in the learning process. One of these approaches is the flipped classroom, which gives to learners the possibility to prepare for the next class, through pre-recorded video lectures and close-ended problems. Many studies…

We have adapted our two laboratories at our department based on our research results, which were presented at the conference CADGME 2014 in Halle and published in the journal. In this article we describe the hardware and software structure of the Laboratory 1: LabIT4KT-1: Laboratory of Computer Modelling and the Laboratory 2: LabIT4KT-2:…

This investigation concerns two questions: (i) is simple educational programming with children, compared to working on mathematical tasks, more effective in increasing scores in mathematical abilities, spatial awareness and working memory? (ii) is educational programming on a digital device, compared to similar paper and pencil programming…