During the past 20 years, numerous studies examining the use of problem posing in mathematics instruction have documented positive outcomes in terms of students' problem-solving skills, creativity, and attitudes and beliefs regarding the study of mathematics. However, despite these promising results, problem posing in mathematics instruction has…

Problem solving is often regarded as one of the most essential cognitive functions in our daily lives, and, for that reason, educational theorists have long stressed the need for its development. As cognitive flexibility is a fundamental characteristic necessary throughout the problem-solving process, the purpose of this study is to analyse…

The overwhelming presence of a procedural meaning of equality and equations reported in previous research has led to a call for suitable pedagogical interventions to nurture a relational meaning of these concepts. This paper is a response to that call. Drawing on the theory of objectification, the first part deals with the configuration of a Grade…

Word problem solving is the premise for students to generalize their problem solving skills to real world problems. This includes students with autism spectrum disorder (ASD) and intellectual disability (ID). Modified Schema-based Instruction (MSBI) is one strategy that research has shown is effective for teaching students with ASD/ID to acquire…

The increased use of digital technology in higher education requires university students to be digitally proficient. The main objective of this study is to examine the extent to which university students' proficiency in various digital competences could be helpful towards their learning performance. This study adopted DigComp 2.2 to design a data…

A method is presented which can be used to obtain analytical solutions for boundary value problems (BVPs) using the matrix exponential and Maple. Systems of second order, linear differential equations are expressed as two or more first order equations in matrix form, and their solutions are obtained using the matrix exponential, matrix…

Cocreating meaning in collaboration is challenging. Success is often determined by people's abilities to coordinate their language to converge upon shared mental representations. Here we explore one set of low-level linguistic behaviors, linguistic alignment, that both emerges from, and facilitates, outcomes of high-level convergence. Linguistic…

This paper explores the critical difference a certified Action Learning Coach makes to the outcomes of the Action Learning process, which underscores WIAL's insistence that the coach is indispensable to achieving breakthrough solutions with Action Learning. Real-life coaching examples are used to illustrate three key benefits of having a coach:…

Faced with the current unsustainability and recognizing the importance of engineering (and technology) in the Capitalocene, it is important to develop educational approaches that facilitate the awareness and training of engineering students to the sustainable future's construction. The main objective of the study is the evaluation of the…

In this paper, we draw on recent research on so-called Fermi problems and situate the fundamental principles underlying this type of tasks and their use from a task design perspective. We use the models and modelling perspective on teaching and learning to elaborate on aspects related to the design of single-use, as well as sequences of, Fermi…

This study investigates when and how awareness of knowledge gaps (AKG) manifests by observing the problem-solving phase of the educational approach known as problem-solving followed by instruction (PS-I). By comprehensively exploring cognitive and metacognitive process of learners during this phase and categorizing students' judgements of…

Reversibility thinking carried out mentally in mathematical operations has an important role in the process of understanding concepts as it involves developing a thinking process from beginning to end and from end to beginning. This qualitative research aims to describe students' reversible thinking processes in solving algebra problems,…

When faced with the need to transform an object, idea, or situation, people have a tendency to favor adding new components rather than removing existing ones. This is called the "additive bias." Previous research, along with historical and anecdotal examples, shows that this bias may significantly reduce problem-solving abilities and…

Collaborative problem solving (CPS), as a twenty-first century skill, is critically important for both living and life-long learning. Motivation in CPS equates to students' needs to recognize their efforts in collaboration. Given the complexity of CPS contexts, the intertwined relationship among different types of motivations was investigated…

The use of process logs in consultation supervision can facilitate training in process and consultee-centered administrative consultation by emphasizing consultation competencies. Process logs examine various elements that support positive outcomes within a collaborative relationship, such as adherence to the problem-solving process, the use of…