A 12-episode constructivist teaching experiment with two pairs of elementary preservice teachers was conducted to examine how they reason distributively and proportionally. Specifically, I studied how prospective teachers reason with ratios as multiplicative comparisons. Prospective teachers solved different problems in one specific context (Step…

Computational thinking is seen as a basic and essential skill in the 21st century, but its development issue in accounting education is still relatively limited. Therefore, anchored in Wing's (2006) computational thinking theory, this study makes a case for developing problem-solving skills, which involve abstraction, decomposition,…

It's time to design the next iteration of higher education. There is no question that higher education faces significant challenges. Most of today's universities aren't prepared to tackle issues like demographic change, the continued defunding of public education, cost pressures, and the opportunities and challenges of educational technologies.…

As problems become increasingly complex, science educators need to better understand how new knowledge is constructed and applied in heterogeneous team collaborations, and how to teach students to productively engage in these processes. We discuss the emergence of insights in collaborative sensemaking and suggest a model that articulates the…

This research proposes a didactic strategy to enrich the assimilation processes of the change of variable theorem in solving the definite integral. The theoretical foundations that support it are based on the contributions of social constructivism, problem solving, and treatment of theorems. The practical validation of the strategy is carried out…

This paper describes our work to determine the naturalistic images that first-time second-semester university calculus students possess for series convergence. We found that the students we interviewed most frequently determined whether a series converged by imagining a process of appending summands into a running total and examining whether this…

The purpose of this action research was to improve mathematical problem-solving abilities using the virtual 5E instructional organization for undergraduate math students who required to pass the criteria of 70% of the full score. This study involved thirty undergraduate math students from one university who were enrolled in mathematical…

Students must develop higher order cognitive skills (HOCS) that allow them to think critically and use their learning in novel situations. However, little is known about how including HOCS in teaching and assessment affects students' perception of learning. We combine quantitative and qualitative data to determine whether the inclusion of HOCS and…

In this paper, we describe the influence of the implementation of methodology for teaching and learning multiple integrals based on the constructivist approach and the interconnectedness of multiple representations (with an emphasis on dynamic representations) for different mathematical objects using GeoGebra's applications Graphing Calculator and…

This study looks at whether creativity and critical thinking help students solve problems and improve their grades by mediating the link between 21st century skills (learning motivation, cooperativity, and interaction with peers, engagement with peers, and a smart classroom environment). The mediating relationship between creativity and critical…

The shift from traditional education to maker-centered learning calls for an analysis and evaluation of the current studies on professional development in maker-centered learning. The current systematic literature review was conducted to examine existing literature on teacher professional development for maker-centered learning. It aligns the…

Researchers have documented many misconceptions students hold about sampling variability. This study takes a different approach--instead of identifying shortcomings, we consider the productive reasoning pieces students construct as they reason about sampling distributions. We interviewed eight undergraduate students newly enrolled in an…

By integrating computational thinking (CT) based mathematical reasoning with early childhood education through programming a dinosaur game in Scratch, this study aims to enhance the pedagogical skills of pre-service teachers by using learning objects (LOs). Also, explores frameworks for LOs construction to align with pedagogical goals, emphasizing…

Problem solving plays an essential role in all scientific disciplines, and solving problems can reveal essential concepts that underlie those disciplines. Thus, problem solving serves both as a common tool and desired outcome in many science classes. Research on teaching problem solving offers principles for instruction that are guided by learning…

Simulation educational technologies provide a convenient way to augment classroom learning in higher education. The University of Colorado Boulder has created many Physics Education Technology (PhET) computer simulations relevant to concepts in Sciences and Mathematics. There is a notable gap in the literature of simulation-based technologies,…