Purpose: Information problem-solving skills (IPS) are essential for university students, as they are required for various academic tasks. While existing research shows immediate post-test improvements with IPS training, its impact on learning remains uncertain. This study examines the effect of a four-component instructional design (4C/ID)…

In the rapidly evolving interdisciplinary field of quantum information science and technology, a major obstacle is the need to understand advanced mathematics to solve complex problems. Current findings in educational research suggest that incorporating visualizations into problem-solving settings can have beneficial effects on students'…

This article elaborates a new direction for studying the construction of novel strategies that enables researchers to model the conceptual underpinnings of students' observable strategic actions during episodes of mathematical problem solving. The nature of the relationship between conceptual and procedural knowledge has been persistently debated…

This paper describes the implementation of problem-based learning in chemical education with regard to the impact that protolytic reactions have on equilibria. The problem-based task presented here is focused on extremely weak acids and calcuation of the pH value of their aqueous solutions. The task is based on comparisons of K[subscript a] ranges…

Problem solving is an important aspect of the mathematics classroom and teachers should work to promote problem solving in their classrooms. The purpose of this explanatory mixed-methods study was to examine mathematics preservice teachers' (PSTs) problem-solving performance and connect it with their K-12 and tertiary education problem-solving…

This study examined pre-service primary teachers' (PSPTs) mathematics performance on a set of question items measuring at the sixth grade level in Hong Kong. These items covered the five learning strands of the local primary mathematics curriculum -- number, algebra, measures, shape and space, and data handling. The participants of the study were…

This study examined the educational effects in strengthening programming skills among university's undergraduate engineering students via integration of a robotics project and an experiential learning approach. In this study, a robotics project was conducted to close the gap of students' difficulty in relating the theoretical concepts of…

Many secondary students with specific learning disabilities (SLD) struggle with mathematics problem solving. When students with SLD are taught to use effective problem-solving strategies, their ability to solve mathematics word problems improves. The purpose of this article is to provide a guide for secondary teachers to implement self-regulated…

One of the most fundamental strategies in mathematics instruction is practice problems because teachers know that practicing a skill improves performance. At the same time, teachers also know that just because students can correctly answer practice problems does not mean they fully understand the concept or how to apply a formula--especially not…

Empower students to become creative, well-rounded citizens who are prepared to meet and overcome real-world challenges. With "Teaching for Transfer," you'll discover a road map for reconfiguring K-12 classroom instruction to ensure learners can expertly apply their knowledge and skills to new contexts. The resource includes ample…

The purpose of this capstone project is to provide an innovative solution to address major public health and social problems known on college campuses in relation to "Ensuring Healthy Development for All Youth," one of the 12 Grand Challenges of Social Work. This project uses conceptual socioecological frameworks of prevention and health…

The aim of this article is to discuss and problematise issues related to conceptual approaches to differences among children in the world of school education. The article is based on results from a Swedish study on categorisation of schoolchildren's "problems" from a historical perspective. Its central questions are: "What concepts…

A test method is described for determining the divisibility of non-negative integers by a prime number. The test uses an integer multiplying factor that is defined for each prime, designated as [beta], to reduce the non-negative integer that is being tested by an order of magnitude in each of a sequence of steps to obtain a series of new numbers.…

We review the history and previous literature on radical equations and present the rigorous solution theory for radical equations of depth 2, continuing a previous study of radical equations of depth 1. Radical equations of depth 2 are equations where the unknown variable appears under at least one square root and where two steps are needed to…

The cosine theorem is used in solving triangulation problems and in physics when solving problems of addition of unidirectional oscillations. However, this theorem is used only for the analytical calculation of triangles or when solving problems of adding two oscillations. Here we propose a generalization of the cosine theorem for the case of…