Background: To become qualified engineers, undergraduates must develop a contextualized epistemic cognition (EC) during the engineering design process (EDP), but little is known about their EC in the authentic EDP. This study aimed to gain an in-depth understanding of the EC and reported epistemic changes of undergraduate engineering students who…

When researchers code behavior that is undetectable or falls outside of the validated ordinal scale, the resultant outcomes often suffer from informative missingness. Incorrect analysis of such data can lead to biased arguments around efficacy and effectiveness in the context of experimental and intervention research. Here, we detail a new…

This study allows for the examination of associations between components of the home mathematics environment -- including parents' formal numeracy practices, math attitudes, and numeracy expectations -- and children's development of math problem solving skills following the transition into formal school. Sixty-six children from three schools in…

This study described the mathematical depth in a mathematical activity carried out in a village in Turkey's Eastern Anatolia Region. This activity presented in the context of the game reflects a cultural situation of doing mathematics over time. In this context, it can identify as a study of ethnomathematics. Therefore, the cultural game was…

Robotics programming is a type of coding that combines mechanics and programming. Robotics technology facilitates coding instruction. Coding improves students' problem-solving skills. However, studies from the literature show that some teaching methods do not have a positive effect on coding skills. This study aims to examine the effects of…

It remains a challenge for teachers to integrate modeling tasks in everyday mathematics classes. Many studies have been conducted that show the difficulties faced by teachers. One of the challenging aspects in this regard is that of assessment. In the present study, a connection between structures of learners' solution strategies and cognitive…

Informed by decades of research and standards-based policies, there has been a growing demand for high-quality teaching and learning in mathematics and science classrooms. Achieving these ambitious goals will not be easy; students' opportunities for learning as shaped by the tasks they are assigned will matter the most. The purpose of this article…

In this work three examples of textbook circuits (resistor-capacitor, resistor-inductor and resistor-inductor-capacitor) have been modeled by employing the Euler method for the approximate solution of differential equations using algorithms implemented in the "Python" programming language. The aim of this work was to demonstrate how…

This paper is about an experimental problem on forced oscillations, which was given to 14-year-old primary school pupils at the Slovenian national (final) level of the physics competition in April 2019. At the time when the competition took place these pupils were approaching the end of the school year, when they encountered physics as a school…

Background: Engineering students commonly learn domain knowledge by engaging with visual representations of it. However, at times they have trouble accessing information from these representations due to the way information is encoded in features of the representation. Purpose: To describe how students engage with representation features, we…

The goals of learning mathematics are to develop thinking skills. But the results showed that critical thinking ability are still low and the lack of self confidence of students. Therefore we need a supportive learning, alternative learning is DAPIC (Define, Assess, Plan, Implement, and Communicate) Problem Solving with Realistic Mathematics…

Toddlers show high sensitivity to creator's intention when they interpret pictures. Previous research suggest that toddlers' performance can be facilitated in a picture comprehension task by making available the creator's intention that is, the social origin of picture-creation. The present study aims to test the generalizability of this…

Critical thinking and problem solving is one of the competencies that must be possessed to meet the 21st Century. This competence is very important to be mastered by students, especially vocational high school students. One learning model that can hone 21st Century competencies is Problem Based Learning. This research was carried out on productive…

As the cost of attending postsecondary education increases, a growing number of college students seek and obtain employment while attending school (Carnevale, Smith, Melton, & Price, 2015; Davis, 2012). Existing research concerning college student employment typically addresses the same question: Is working during college related to students'…

We present in this paper a pair of approaches to support mathematics educators and learners in formulating original tasks. In particular, we facilitate the posing of rich mathematical problems by using two novel methods that were created by a mathematics department at a K-12 school in the United States, and further developed alongside our students…