The use of the flipped classroom (FC) model in higher education is becoming increasingly common. Although the FC model has many benefits, there are some limitations using this model for learners who do not have self-directed learning skills and do not have a developed learner autonomy. One of these limitations is that students with low academic…

The research presented is of an investigation into the critical thinking (CT) and problem solving (PS) abilities used by high school technology and engineering (T/E) students when attempting to achieve a viable solution for an authentic engineering design-no-make challenge presented outside the context of the classroom in which their STEM content…

Visual representations, such as diagrams, are known to be valuable tools in problem solving and proof construction. However, previous studies have shown that simply having access to a diagram is not sufficient to improve students' performance on mathematical tasks. Rather, students must actively extract information about the problem scenario from…

Diagrams are ubiquitous in physics, especially in physics education and physics problem solving. Physics problem solvers may generate diagrams to orient to a scenario, to organize information, to directly obtain an answer, or as a tool of communication. In this study, we asked 19 undergraduate and graduate physics majors to answer 18…

This study aimed to investigate the effects of feedback types and opportunities to change answers on the learners' achievement and their ability to solve physics problems. We compared three feedback types, namely (1) static feedback with hints, (2) reducing feedback with hints, and (3) knowledge of response, and two types of opportunities to…

Background: Engineering programs have increasingly incorporated design challenges into courses. These design challenges vary in the degree to which they present complex, ill-structured, and relevant problems, and therefore may vary in the degree to which they support students to learn to frame design problems. Purpose/Hypothesis: We characterized…

Problem-solving is one of the most important twenty-first-century skills and should be acquired at an early age. Since programming is a kind of problem-solving process, it may be seen in the context of problem-solving skills development. Hence, this study aims to identify the effectiveness of one of the most popular programming tools…

The purpose of this study was to investigate university students' conceptions of the definite integral in the process of finding the volume of a solid of revolution. The participants were four students enrolled in a university calculus course in Turkey. Data were obtained by task-based interviews, in which the participants had to work on a problem…

This study used task-based interviews to examine students' reasoning about multivariable optimization problems in a volume maximization context. There are four major findings from this study. First, formulating the objective function (i.e. the function whose maximum or minimum value(s) is to be found) in each task came easily for 15 students who…

Background and Context: Block-based programming is a popular approach to teaching introductory programming. Block-based programming often works in the context of microworlds, where students solve specific puzzles. It is used, for example, within the Hour of Code event, which targets millions of students. Objective: To identify design guidelines…

Background: The idea of computational thinking is underpinned by the belief that anyone can learn and use the underlying concepts of computer science to solve everyday problems. However, most studies on the topic have investigated the development of computational thinking through programming activities, which are cognitively demanding. There is a…

Teachers and caregivers use children's books (i.e., trade books) to support mathematics learning in school and home settings; shared book reading offers a unique opportunity to support students' understanding of operations and schema development. No prior studies have examined the representations of addition, subtraction, multiplication, and…

The paper offers three examples of passionate immersion with strange objects and working with peculiar multispecies assemblages, such as the assemblage of a dove called Romeo and the technology to humidify a greenhouse called 'Princess', or the experiment of orienteering in forests for years, accounting for slips, scratches and tumbles as being…

Complex problem solving (CPS) is considered to be one of the most important skills for successful learning. In an effort to explore the nature of CPS, this study aims to investigate the role of inductive reasoning (IR) and combinatorial reasoning (CR) in the problem-solving process of students using statistically distinguishable exploration…

We are all fascinated by loops and their formation in space. When a line cuts itself, it forms an intersection point and creates a space. This is an experimental study done by analyzing several loops, forming a concrete formulation by visualizing the patterns observed, and then proving the formulations proposed using the known standard…