The study examines the collaborative nature of problem solving as dyads and triads of adults were grouped to solve digital problems using online resources. Digital problem solving involves the nimble use of skills, strategies, and mindsets to navigate online in everyday contexts using novel resources, tools, and interfaces, in efficient and…

Invention activities and worked solutions are considered to be effective learning tasks. To date, limited research has been conducted regarding these tasks in teacher education and the process of solving these tasks. This study focuses on the solution quality of student teachers' task solutions. 149 students were randomly assigned to one of two…

Infants start to use a spoon for self-feeding at the end of the first year of life, but usually do not use unfamiliar tools to solve problems before the age of 2 years. We investigated to what extent 18-month-old infants who are familiar with using a spoon for self-feeding are able to generalize this tool-use ability to retrieve a distant object.…

We explore the various Mathematica functions for performing Gaussian elimination, specifically when the linear system contains input parameters. On the one hand, we want the solution, perhaps heuristically found, to be in terms of the input parameters, and as general as possible. On the other hand, we must adhere to all necessary conditions and…

The cross diagram is a way to illustrate and plan the solutions for all kinds of constant-acceleration kinematics problems--including projectile motion, multistage, and multiple-object problems. The cross diagram arranges the kinematic variables in a logical way, making the kinematic relationships between them easy to identify. Combined with a…

Productive Failure is an instructional approach in which students engage in problem-solving attempts prior to instruction. The Productive Failure approach has been found to be more supportive for conceptual knowledge acquisition during subsequent instruction compared to a direct-instruction condition in which students receive instruction first…

A central practice in the discipline of organic chemistry is the ability to solve certain fundamental problems, including predicting reactivity, proposing mechanisms, and designing syntheses. These problems are encountered frequently by both students and practitioners, who need to utilize vast amounts of content knowledge in specific ways to…

Problem-solving skills are advantageous when resolving complicated and multidimensional challenges. Problem-solving skills can be developed through active learning models that engage students in the learning process. One active learning model is RICOSRE. The main focus of RICOSRE is problem-solving activities in (1) reading; (2) identifying the…

Research has extensively linked teacher collaborative work with opportunities for both explicit and implicit professional development. However, while teachers work together more often than before, little is known about how workplace collaborative contexts are structured in terms of who and how frames the problems of practice. Drawing on an…

The purpose of this study aimed to analyze the process of online collaborative problem solving (CPS) via brain-to-brain synchrony (BS) at the problem-understanding and problem-solving stages. Aiming to obtain additional insights than traditional approaches (survey and observation), BS refers to the synchronization of brain activity between two or…

Education professionals face myriad problems of practice, especially in the face of current trauma, injustice, and other stressors. To address those challenges, educators should work collaboratively to target the sources, not just the symptoms, of the problems. Asking why can begin to surface root causes, which may be related to systems,…

Mathematical representations are 'visible productions' that embody mathematical ideas. The author guides teachers with suggestions for the use of representations in mathematical problem solving with students. Representations can be used to help make abstract mathematical ideas accessible, allowing teachers and students to interpret, communicate,…

Problem-solving strategies, such as visual imagining and self-questioning, may assist children with autism spectrum disorder (ASD) in recalling past events. In the current study, at the start of each session, a 7-year-old boy with ASD engaged in a novel activity with a behavior therapist who took pictures of the activity. Ninety minutes later, a…

Designing games from the ground up is a popular activity for helping students think in designerly ways. Despite their benefits, such game design activities may place higher-than-anticipated demands on cognitive and institutional resources. In an effort to alleviate these demands, this study explored how playing and fixing partially completed games…

The objective of this work is to show an educational path for combinatorics and graph theory that has the aim, on one hand, of helping students understand some discrete mathematics properties, and on the other, of developing modelling skills through a robust understanding. In particular, for the path proposed to middle-school students, we used a…