Successful mathematical problem-solving relies on choices about how best to represent and solve problems. In this article, a range of methods and strategies are presented for solving a single mathematical problem, including novel methods posed by in-service teachers at one Australian university. The variety of problem-solving strategies rely on…

In fact, ever since Seymour Papert (famous in his later years for constructionism, a learning theory that married conceptual constructivism with concrete experience) created Logo programming, many schools have been coding using Logo, the educational computer programming software that has the famous 'turtle' on the computer screen. Importantly,…

The main purpose of the study is to understand the mathematical problem-solving strategies among student teachers. This study used both quantitative and qualitative type of research. Aside from the semi-structured interviews, data were gathered through participant's actual mathematical problem-solving outputs and the videotaped interviews.…

After three years of collecting electronic resources of troubleshooting tickets in Springhare's LibAnswers at University of Houston Libraries, the author conducted an analysis of over 300 tickets. The type of problem was identified for each ticket and then categorized into a functional area using an existing categorization schema developed at…

The two-stroke engine is an engineering marvel that has been incorporated into many aspects of modern-day life. While many seek to eliminate the two-stroke, others seek to revive this simple and effective power plant, aiming to make it more environmentally friendly and fuel-efficient. If successful, improvements could be far-reaching and…

Today, children of all ages experience rigorous career preparation as part of their education. School systems strive to implement mandated standards to help students excel in standardized testing and gain necessary skills for future job opportunities. In this worthwhile pursuit, many creative school programs such as art and music are deemed…

As a foundational evolutionary concept, the Hardy-Weinberg principle should be taught enthusiastically in introductory biology courses. In a companion Perspectives paper, I made the case that students are often given limited or incorrect information on the HW principle due to a lack of mastery or confidence on the part of their teachers. The…

The global digital revolution has irrevocably transformed societies and industries. The accounting profession is predicted to experience a significant change in the future, due to technological developments. Practices will be automated and related positions obsolete, thus accounting graduates need to be educated for new and different tasks and…

To be successful in any field, one needs to have good decision making, effective critical thinking and problem-solving skills. The skills an individual possess not only helps him/her to earn his/her livelihood but also aids in the development and progress of the whole nation. So, there is an urgent need of integrating our traditional courses with…

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…

Mathematics is full of mystery. We illuminate the myth to expose two conflicting senses of mystery at work in mathematics and its education practices. There is a sense of boundlessness with mathematics--the idea that we never fully know. There is also a practice of concealment, in which an answer or solution is known by special people who may…

This paper discusses authenticity from the perspective of mathematics education. Often, school mathematics offers students inauthentic word problems, which don't show the authentic usefulness of mathematics in real life. In some tasks, authentic aspects are combined with inauthentic ones (e.g., an authentic context, but the question is artificial…

Most questionnaires construe avoidance as resulting from a problem-solving process and analyse only a few, single-factor and mostly non-adequate, forms of avoidance. The aim of the present study was to develop a multi-dimensional questionnaire to measure avoidance among adolescents. We tested the Avoidance Questionnaire for Adolescents (AQA) with…

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…

Children's early mathematical abilities are fundamental to their later academic achievement. An interest in mathematics in the early years is likely to establish a positive attitude to later mathematical learning, hopefully sustaining continued interest in mathematics and mathematical learning. Approaches to early mathematics teaching in the early…