A growing emphasis on computational thinking worldwide necessitates student proficiency in creating algorithms. Focusing on the use of counterexamples for developing student-invented algorithms, I reanalyze two pieces of data from previously published research, pertaining to two different cases of students' algorithmatizing activity. In both…

Holistic data science education places data science in the context of real world applications, emphasizing the purpose for which data were collected, the pedigree of the data, the meaning inherent in the data, the deploying of sustainable solutions, and the communication of key findings for addressing the original problem. As such it spends less…

Research has shown that hands-on projects promote stem education, namely via problem-solving. CanSat, literally 'satellite in a can', is a stem educational project promoted by the European Space Agency. This paper addresses this issue by researching this STEM project and trying to understand how secondary students solve problems in the STEM CanSat…

Cyber-physical systems (CPS) are increasingly used in manufacturing, transportation, health, and other industries. To develop these complex interdisciplinary systems, highly qualified CPS engineers are required who possess sound engineering knowledge and excellent transferable skills. Academic institutions offer a range of modules and curricula to…

In recent years, the US society has witnessed a sharp growth in political divide, particularly between those holding conservative and liberal views (Pew Research Center, 2014, 2017). Among the multitude of issues that the American people find divisive, the issue on gun regulation has been one of the most controversial ones (Pew Research Center,…

Government guidelines are demanding greater educational outcomes and intentional teaching in Australian preschools. The purpose of this paper is to present the results of a study of how children incorporate concepts into child-initiated play. A cohort of 18 children (aged 3.0-5.8, mean age of 4.8) were digitally observed over seven weeks…

There is a critical need to consider ways to enrich the educational experiences and well-being of adolescents when the lack of empathy in the world is high. This paper presents the concepts of "Artful Empathy" and "Artful and Empathic Learning Ecology." The concepts are exemplified from a multi-site case study within Australian…

In each educational curriculum, trigonometry is an important subject at upper secondary schools and pre university level that apply in many other subjects such as algebra, calculus, geometry and physics. Many of students have serious problem in learning the trigonometric materials because usually mathematics educators transfer the trigonometric…

In 2014 NCTM advocated for productive struggle by expressing the need for teachers to allow their students the time necessary to grapple with their mathematical "uncertainties." We posit pre-service teachers need opportunities to productively struggle when learning and applying their mathematical understanding in order to understand how…

We present action research of a problem posed as part of a multi-participant national (Israeli) test checking the mathematical knowledge of high school students at the ages of 16-17, where some of those who solved this problem made an error by using the converse to a well-known theorem, where the converse is not true. In order to examine the…

Eye tracking enables the reconstruction of eye movements and thus the analysis of visual information selection and integration processes during problem solving. In this way, learner-specific difficulties can be identified and problem-solving process can be adapted accordingly. For such an adaptation, the prediction of response behavior plays a…

Pedagogical methods for graduate-level statistics courses have rarely focused on the pursuit of conditional knowledge or the ability to choose which concepts/procedures are relevant given a specific research situation. However, utilization of an innovative approach called decision-based learning (DBL) not only provides students with the…

With the challenges of a global pandemic, political and social unrest, and the consequences these issues bring, there is a universal call for empathy as we attempt to maneuver through this tumultuous time. For instructional designers, this includes employing empathy and empathic design as they grapple with how to design instructional interventions…

There is little empirical research related to how elementary students develop computational thinking (CT) and how they 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,…

Since formal mathematics is discussed in terms of abstract symbols, many students face difficulties to acquire a clear understanding of mathematical concepts and ideas. Transforming abstract or dis-embodied representations of mathematical concepts and ideas into embodied representations is a strategy to make mathematics more tangible and…