The study of solutions to polynomial equations over finite fields has a long history in mathematics and is an interesting area of contemporary research. In recent years, the subject has found important applications in the modelling of problems from applied mathematical fields such as signal analysis, system theory, coding theory and cryptology. In…

This investigation presents students with the challenge of determining the total number of eggs in a photograph of a stack of egg trays. The perspective of the photograph does not allow students to count all the individual eggs in the top tray but does allow them to see the number of eggs in one row and one column of the top tray. During this…

Ill-structured problems can be regarded as one of the measures that meet recent social needs emphasizing students' abilities to solve real-life problems. This study aimed to analyze the mathematical abstraction process in solving such problems, and to identify the mathematical abstraction level ([I] Recognition of mathematical structure through…

Screen inferiority in performance and metacognitive processes has been repeatedly found with text learning. Common explanations for screen inferiority relate to technological and physiological disadvantages associated with extensive reading on screen. However, recent studies point to lesser recruitment of mental effort on screen than on paper.…

Introducing challenging tasks in such a way that makes them accessible, rather than daunting, to students is a challenge for teachers. Solving challenging tasks involves students having to grapple with the problem. The role of the teacher is to motivate and clarify the problem rather than showing students how to solve the problem.

In this work, we examine students' ways of thinking when presented with a novel linear algebra problem. Our intent was to explore how students employ and coordinate three modes of thinking, which we call computational, abstract, and geometric, following similar frameworks proposed by Hillel (2000) and Sierpinska (2000). However, the undergraduate…

The study investigated the effects of Solve-Reflect-Pose Strategy (SRP) on pre-service mathematics teachers' algebraic knowledge for teaching in Nigeria. A pre-test-post-test quasi experimental design was employed. Intact classes were used and in all, 182 pre-service mathematics teachers' participated in the study (92 in the experimental group…

Research has shown that students' emotional intelligence (EI) can be enhanced with time intensive instructional method, nevertheless some studies are inconclusive. This study looked at the impact of including short EI lessons in an introductory hospitality management class. Results showed that students who started with low EI increased their…

Although academic staff have a key role to play in innovation at higher education institutions (hEIs), current innovation adoption among academic staff is disappointing. Most curricula at hEIs are stalled in the traditional pedagogical model of knowledge transmission for teaching and learning with little exploration of technologies for…

Educational robotics (ER) is increasingly present in secondary education classrooms and has acquired greater projection, especially with the appearance of championships, such as FIRST® LEGO® League. These competitions are based on a globalizing focus of the different areas of the curriculum, therefore, we consider that it directly links with the…

The purpose of this study was to determine the effectiveness of blended learning environments enriched with the use of gamification elements. The study was carried out using the convergent parallel mixed design, in which the qualitative and quantitative data were integrated. The study was conducted with 63 participants who were randomly divided…

Problem solving has been characterized as one of the 'employability skills' due to the high demand for such abilities in a modern workplace. Most universities do not monitor progress of the generic problem-solving skills (PSS) of their students due to a lack of available assessment tools. We used previously reported 15-min tests to measure the…

The social studies curriculum travels through time and space and is bigger on the inside than it is on the outside. To an outsider, the social studies curriculum is a single line on a program of studies, 45 minutes of a student's school day. Those on the inside, however, know that the field covers history, geography, civics, economics, and much…

How do we preserve our civil society and dynamic political system and prepare students to be active citizens in a democratic society? The need for civic education is more essential now than ever before, and students deserve access to powerful civic lessons that actively engage them in learning about our democracy. The ultimate goal would be for…

Humans have become the most dominant animal on the planet. They have adaptations providing advantages over other animals. They have even out competed other species in their own genus. Humans have opposable forefingers and thumbs for superior dexterity, very large brains for intelligence, walk upright with bipedal locomotion to cover distances more…