This study used Focus Group to analyze user requirements for user interface so as to understand what capabilities of the Collaborative Problem Solving (CPS) Instructional Platform were expected by users. After 12 focus group interviews, the following four functions had been identified as essential to the CPS Instructional Platform: CPS…

The purpose of this article was to summarize results from 5 randomized control trials assessing the effects of intervention to improve the fraction performance of 4th-grade students at-risk for difficulty in learning about fractions. We begin by explaining the importance of competence with fractions and why an instructional focus on fractions…

In 2021, our state, like others across the nation, passed legislation restricting the teaching of race and racism (i.e. divisive concepts). While we remained steadfastly committed to our approach for preparing urban teachers, we were concerned how the political context would impact our graduates' ability to enact culturally responsive and critical…

Many recent models of learning and instruction center learning on real-world tasks and problems to support knowledge application and transfer. Of the many different approaches to centering learning on real-world tasks and problems, one main area in recent literature attempts to balance the efficiency of adequate learner support with the…

Educator preparation in comprehension strategy instruction (CSI) is essential to meeting the needs of English learners (ELs) in contemporary schools. This article provides teacher educators and professional developers with concrete examples of practices to prepare classroom teachers in comprehensive strategy instruction, based on an experimental…

Problem-Based Learning (PBL) is well known for enhancing students' problem solving skills and teamwork, while the role of PBL tutors is to facilitate discussion rather than teach. This study used four focus groups to explore PBL tutors' motivation, challenges and support mechanisms, and the relationship between these. The study found that there…

This paper outlines a programme "Safe and Social" that has been implemented with adults with intellectual disability across multiple contexts in a service based in Ireland. The emphasis within the programme is on providing service users and staff with a framework and the necessary language to discuss social behaviours and boundaries,…

Supporting students to develop an understanding of the meaning of fractions is an important goal of elementary school mathematics. This involves developing partitioning strategies, creating representations, naming fractional quantities, and using symbolic notation. This article describes how teachers can use a formative assessment problem to…

This essay proposes a reflection on the learning difficulties and teaching approaches associated with arithmetic word problem solving. We question the development of word problem solving skills in the early grades of elementary school. We are trying to revive the discussion because first, the knowledge in question--reversibility of arithmetic…

Creative and critical thinking skills are the abilities, which can sometimes be used interchangeably in definition. In fact, they have different constructs because they differentiate in outcome of human behaviours. Also one of today's requirements is that individuals should approach everyday problems by using both competences. So, one of the…

One in four children in the state of Georgia is food insecure. In the city of Athens, 60 miles northeast of Atlanta, the number approaches one in three. More than 33 percent of residents have significantly limited access to healthy foods, living in areas of the city that the U.S. Department of Agriculture (USDA) has identified as food deserts.…

Knowing an equation has a unique solution is important from both a modelling and theoretical point of view. For over 70 years, the approach to learning and teaching "well posedness" of initial value problems (IVPs) for second- and higher-order ordinary differential equations has involved transforming the problem and its analysis to a…

This article explores the process of finding the Fermat point for a triangle ABC in three dimensions. Three examples are presented in detail using geometrical methods. A delightfully simple general method is then presented that requires only the comparison of coordinates of the vertices A, B and C.

Dealing with problem-solving has been a growing challenge in teaching engineering and over the career of these professionals. To increase the ability to understand a problem and consequently improve the quality of the solutions, an exercise was proposed to students of an MBA program, and they have experienced some challenges on interpreting…

Members of a third-grade class were involved in a heated discussion. They were using a fixed number of links to create fences for toy cows. The children could change the shape of the field produced by the links, but they could not add any links or take any away. Understanding the relationship between perimeter and area is a difficult concept for…