The purpose of this study was to explore the paths by which word-problem intervention, with versus without embedded pre-algebraic reasoning instruction, improves word-problem performance. Students with mathematics difficulty (MD; n = 304) were randomly assigned to a business-as-usual condition or one of two variants of word-problem intervention.…

Children with intellectual disabilities experience well-documented challenges in the development of problem-solving, particularly related to mathematical word-problem solving. Such challenges are related to both linguistic and conceptual skills. While interventions to assist children in developing conceptual skills are well reported, linguistic…

Science education motivates students to be problem solvers who utilize scientific knowledge for the social problems that they encounter in their lives. However, for better solutions for the problem, just knowledge of scientific concepts would not be enough because students need to approach problems aesthetically also. Understanding social,…

Research on how university faculty design courses has been limited and marked by modest detail on faculty design processes. Addressing this gap, seven faculty members supported by an educational developer at a teaching-intensive university used collaborative autoethnography (CAE) to explain how university faculty engage in reflective, iterative…

Computational Thinking (CT) is a problem-solving process applicable across all disciplines. It has been defined as a 21st-century skill (Wing, "Communications of the ACM," 49(3), 33-35, 2006). Unfortunately, little pedagogical research is available to guide teachers and designers when devising a CT course. This study addresses this issue…

This paper describes two examples of teaching situations in which the idea of infinity arises, and supports the conclusion that infinity is not a physical reality but a very powerful and useful mathematical device which facilitates modelling and the solution of problems in physics.

Pedigree problems are typical genetics tasks in schools. They are well suited to help students learn scientific reasoning, representing realistic genetic problems. However, pedigree problems also pose complex requirements, especially for secondary students. They require a suitable solution strategy and technical knowledge. In this study, we…

Nurturing autonomous learners is a fundamental instructional goal, aimed at honing students' problem-solving skills for use in later educational and career experiences. The study explores the results of a yearlong program providing professional learning to mathematics student teachers with the aim of nurturing mathematically talented students…

In interactive e-learning environments such as Intelligent Tutoring Systems, pedagogical decisions can be made at different levels of granularity. In this work, we focus on making decisions at "two levels": whole problems vs. single steps and explore three types of granularity: "problem-level only" ("Prob-Only"),…

The action sequences of respondents in problem-solving tasks reflect rich and detailed information about their performance, including differences in problem-solving ability, even if item scores are equal. It is therefore not sufficient to infer individual problem-solving skills based solely on item scores. This study is a preliminary attempt to…

One of the crucial 21st-century digital skills, in the context of digital transformation, is problem solving--equally so in the fields of science, technology, engineering, and mathematics (STEM). In the context of kindergarten, learning through play is central; therefore, pretend play, and particularly guided pretend play, is suggested as an…

This article discusses a pedagogical technique for utilizing breakout rooms for small group discussions and synchronous drawing features in Zoom to create crowdsourced solutions to mathematical problems that involve graphing or visualization. Students begin with specific examples and then move quickly to the development of a more general…

The article describes a methodology for studying Fresnel diffraction with the active involvement of students in discussing the results of a demonstration experiment. To create a clearly visible model of Fresnel zones, a centimeter radio wave range was chosen, in which the first zone is about 10 cm in size. This makes visible the created…

Purpose: Problem solving skills (PSS), an important component of learning outcomes, is one of the desirable skills in engineering graduates as stated by many employers, researchers and government bodies in India for a strong foothold in professional world. There is a need to develop comprehensive understanding and integration of theory (concept)…

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…