Le Châtelier's principle is used as a basis to derive an expression to calculate solution pH during titrations that involve only strong acids and strong bases. Central to this model are the reaction quotient and a re-equilibration term that represents the extent of neutralization during a titration. Unlike the method traditionally taught to…

In a games-based approach, the idea of understanding is located within the concept of games as decision-laden, problem-solving contexts. However, the concept of "understanding" is largely implicit in much of the germane literature. We are arguing for a more deliberate framework to approach the concept of understanding. We propose that…

The development of universal learning actions [universal'nye uchebnye deystviya] in logic is one of the most important tasks of education. This article explores logical problems as an effective tool for developing logical thinking and the underlying universal learning actions. We outline the basic principles of learning to solve logical problems.…

Through critical interpretation, this paper aims to critically think about some points of Paulo Freire's critical pedagogy and its educational implications. Firstly, this paper explores the influence of life experiences and the Frankfort School on the development of Freire's critical pedagogy. Secondly, it aims to critically assess some points of…

An important but challenging problem-solving technique in introductory mechanics is that of using "tilted axes." For inclined plane and centripetal motion problems, using axes that are aligned relative to the ramp direction or the radial direction (rather than the horizontal and vertical) yields equations that are conceptually more…

For students working on realistic complex modelling problems as autonomously as possible the support by a tutor is indispensable for the students. However, how this support can be realised is still a question that has not been sufficiently answered. Based on prior research, it turned out that teacher interventions based on heuristic strategies…

We share a subset of the 41 underlying strategies that comprise five ways of reasoning about integer addition and subtraction: formal, order-based, analogy-based, computational, and emergent. The examples of the strategies are designed to provide clear comparisons and contrasts to support both teachers and researchers in understanding specific…

Mathematics educators advocate for the use of models as an instructional practice that can potentially aid in building students' understanding of difficult topics. Integers and integer operations are historically problematic for students and are critically important in both arithmetic and the future study of algebra. In this chapter, I explore one…

The paper concerns an important but underappreciated genre of algorithmic puzzles, explaining what these puzzles are, reviewing milestones in their long history, and giving two different ways to classify them. Also covered are major applications of algorithmic puzzles in cognitive science research, with an emphasis on insight problem solving, and…

Ferris wheel is one amusement playground that resembles a giant spinning wheel. Many students are familiar with the Ferris wheel in the mini version of it at night market festivals. This is the potential for learning mathematics. Furthermore, there is a mathematical learning approach called Indonesian Realistic Mathematics Education (IRME) where…

Contribution: A modular three-credit undergraduate course that enables students to sharpen their teaming skills is introduced. The course addresses the professional skill gap between recent undergraduate students and what the work environment expects. Background: The trend of teaming in the industrial world continues to grow as the demand for…

There is a dearth of studies that explore how students with learning disability (LD) cope in school. The purpose of this article, therefore, is to answer this question by reviewing relevant research from a self-determination theoretical frame. Available evidence indicates that students with LD mostly cope more poorly than their peers without…

Instruction targeting the underlying math problem structure is identified as an evidence-based practice for students with a specific learning disability (SLD). Furthermore, schema-based instruction is identified as a potentially evidence-based practice for students with a SLD. This study extended prior work by (a) using a teacher as the…

This paper proposes a model that comprises a learning exercise based on challenges, which tends to promote non-technical skills such as oral expression, communication, resource management, leadership and problem solving among engineering students. Since engineers have been recognized throughout the world for their ability to creatively solve…

Blended learning is becoming increasingly prevalent in engineering education due to its flexibility and enhanced learning outcomes, however it can face challenges in maintaining student engagement and satisfaction. This study investigates the impact of worked example videos (WEVs) as a blended learning approach within undergraduate engineering,…