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…

The movie awards for 2018 were dominated by works by and about marginalized people who are underrepresented in contemporary movies. The movies use established forms of superficial, sensational, and escapist movie-making. The conventions of these "eye candy" forms contradict and undermine the serious adult significance of the works, in…

This article contests the emphasis that is frequently placed upon child-friendly methods in research with young children. Focusing upon a series of research encounters from a doctoral study of play in an early years classroom, I examine my interactions with the children and their social and material worlds and draw upon these encounters to…

The application of new methods and measures in domains with few methodological traditions of that kind often presents researchers with a challenge; they may have to take up the task of developing their understanding of the phenomenon while, at the same time, creating the practices for its study. For us, the method was eye tracking, and the topic,…

Pakistan is considered to be the fifth largest young country in the world. Around 63 percent population of the country comprises youth aged between 15 and 33 (UN Population Fund Report 2017). Such a large young population has posed daunting challenges to the social, economic and political sectors of the state. The fast rising youth bulge of…

This article reviews Rosenthal and Jacobson's (1968) seminal study, "Pygmalion in the Classroom" (PC). We consider what preceded PC, the actual study, immediate criticisms of it, Rosenthal's reactions to the criticism, and, importantly, the research that followed PC from 1968 to roughly 1990. Despite critical criticisms of it, we…

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…

A prevailing theory of mathematical problem solving predicts that children will be less accurate solving a + b = c + __ problems versus a + b = __ + c. However, this has never been tested directly. Because of low base rates, information combined from multiple studies can help improve estimation accuracy and precision. This study compared…

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.…

Fairy tales have a long history of providing educational morals for young women, particularly children. The lessons from older fairy tales have long influenced the metanarratives regarding how women should act in our culture and contemporary versions are no different. Contemporary adaptations of these fairy tales, however, have moved the genre…

Instructors may be reluctant to adopt simulations because of time, labor, or material constraints, or perceived incompatibility with large classes. In fact, simple games can cover multiple key concepts with minimal time and effort by the instructor. Simple games are also adaptable to other topics and classes, including large lectures. This article…

In the field of social sciences, certain tasks, such as the identification of typologies and the characterization of groups of individuals according to a set of questions, tend to pose a challenge for researchers. Further complications arise if the chosen rating scale is from 0 to 10, since the responses can be treated either as metric or…