This study investigates prospective elementary and secondary school mathematics teachers' ways of reasoning about differentiability at a point and corner points while working on a mathematical modelling activity. Adopting a multiple-case study design, the participants of the study were 68 prospective elementary school mathematics teachers enrolled…

In our rapidly changing world, the role of education is not only to pass on knowledge, because the acquired knowledge will be quickly expired, the different professions are also changing in a short time. It would be also important to pass on a kind of ability which the students will be able to independently acquire knowledge after completing their…

The teaching guides that complement textbooks have key importance in the assessment of competence in problem solving, because these materials contain the assessment tools that teachers frequently use to quantify the achievements of their students. In this paper, we set two aims: to analyze which curriculum contents are given priority in the…

Design thinking--understanding the human needs related to a problem, reframing the problem in human-centric ways, creating many ideas in brainstorming sessions, and adopting a hands-on approach to prototyping and testing--offers a complementary approach to the rational problem-solving methods typically emphasized in business schools. Business…

Engineering design process-oriented STEM activities are activities that involve solving a real-world problem with teamwork by using integrative engineering design and engineering applications using scientific and mathematical concepts and 21st century skills. The research aimed to examine the effects of engineering design process-oriented STEM…

While educators and policymakers increasingly link the '21st-century' skills of communication, teamwork, problem-solving, and self-directed learning to graduate success in important high-technology industries, few studies look at how technological college faculty -- who are expected to help instil these important skills in students -- learn to…

The purpose of this paper is to review the utility of think alouds in writing instruction and highlight the function of think-aloud modeling in the development of cognitive and metacognitive strategies that support learners' independence. For these purposes, modeling with coping is also explained. Coping models, in which teachers encounter…

Recent reform efforts state the importance of providing students with opportunities to persevere with challenging mathematics to make meaning. We posit translanguaging practice as a vital option by which Latinx bilingual students can sustain collective perseverance during problem solving. In this paper, we employ a constant-comparative overlay…

As a theory of skill acquisition, the instance theory of automatization posits that, after a period of training, algorithm-based performance is replaced by retrieval-based performance. This theory has been tested using alphabet-arithmetic verification tasks (e.g., is A + 4 = E?), in which the equations are necessarily solved by counting at the…

Many literature studies point out how the process that moves the student from personal reasoning to the arrangement of fruitful argument could help them in the development of mathematical argumentative thinking. Starting from the above assumptions, in this paper we investigate the interaction among teacher/researcher and students in a Digital…

Exceptional talent includes the ability and willingness to solve varied, complex problems, and having a knowledge structure that facilitates problem solving and creativity. The purpose of this study was to determine changes in students' knowledge structures resulting from fidelity of implementation of Real Engagement in Active Problem Solving…

Scholars have defined higher-order thinking (HOT) skills as a cognitive ability to interpret, analyze, arrange, and extend newly obtained and learned information (Lewis & Smith, 1993; Newmann, 1991a). Higher-order thinking skills draw much public attention, because they have been deemed to be an essential determinant of contemporary…

With the projects implemented in the 'Design for the Disabled' course in Gazi University 2019- 2020 academic year, fourteen students are asked to develop solutions for the problems of disabled individuals, which is one of the real-world issues, while gaining professional knowledge such as critical thinking, idea generation and learning the…

This work describes how the combination of the mistakes committed by a group of pre-service teachers when solving a Fermi problem, with the representation of the temporal analysis of their resolutions, can offer more in-depth information about their conceptual misconceptions regarding mathematical and modelling concepts. The combined…

Although the current landscape in education emphasizes the importance of developing students' information literacy in formal education settings, little attention has been paid to information literacy within the context of social media use. This study investigated the relationship between information literacy and social media competence (SMC) among…