The aim of this paper is to present a teaching proposal for the theoretical part relating to the first- and second-order linear difference equations with constant coefficients suitable for the first-year students at various types of universities. In contradistinction to the methods often applied (memorization of algorithms without a proper…

Our study aims to determine how Habermas' construct of rationality can serve to identify and interpret the difficulties experienced by university students in the mathematical problem-solving process. To this end, a problem which required modelling and solving a differential equation was used. The problem-solving processes of university students…

Background/Context: In this study, we draw on evolving definitions of opportunity to learn (OTL) to conceptualize mathematics OTL has having two main components: structural OTL, defined by gatekeeping access to specific mathematics courses through the process of tracking, and instructional OTL, defined by the learning experiences of students in…

String musicians put a high priority on ear training in order to be successful on their instruments. Research suggests that delaying music reading to teach by ear does not negatively affect sight-reading performance in the long term, may improve music literacy skills, and also may improve student perceptions of accomplishment. The pedagogy of…

Background: The poor performance of learners in mathematics has long been a matter of concern in South Africa. The Annual National Assessment (ANA) results reveal that the problem starts in the foundation phase with number concepts. Aim: This research sought to ascertain how foundation phase teachers used mathematical resources to teach number…

Students studying organic chemistry often have difficulty applying prior knowledge from general chemistry in their thinking about organic reaction mechanisms. In the United States, electrophilic aromatic substitution (EAS) mechanisms can be taught towards the end in a second-semester course of organic chemistry, providing students with almost…

Purpose: The purpose of this study was to examine the process of embedding values implemented by excellent teachers in teaching Islamic education in the multi-cultural society. Design/methodology/approach: This study was a qualitative study, which used a combination of in-depth interviews, observation and document analysis for data collection.…

This article explores how motivation in computer games could be integrated into mathematics education. The scope of the study was confined to four motivation dimensions, namely challenge, control, complexity and collaboration. A phenomenology study was conducted with the purpose to obtain a common understanding of nine teachers and 11 students…

Language is often depicted as the sine qua non of mathematical thinking, a view buttressed by findings of language-of-training effects among bilinguals. These findings, however, have been limited to studies of arithmetic. Nothing is known about the potential influence of language on the ability to learn rules about the relations among variables…

When organic chemistry students encounter competing reactions, they are often overwhelmed by the task of evaluating multiple factors that affect the outcome of a reaction. The use of a decision tree is a useful tool to teach students to evaluate a complex situation and propose a likely outcome. Specifically, a decision tree can help students…

Studies related to school mathematics have shown that students who scored well on standardized tests often are unable to successfully use memorized facts and formulae in real-life application outside the classroom. The outcome of TIMSS and PISA studies further emphasizes the importance of mathematics teaching and learning in the Malaysian…

This essay is grounded in the scholarship of teaching and learning and will focus specifically on the ways in which the Harry Potter books highlight the diversity of learning and teaching styles; privilege active experiential learning and problem solving over passive rote learning; and emphasize the benefits of collaboration over competition.…

This paper presents a study of the opportunities presented to students that allow them to learn different types of mathematical reasoning during teachers' ordinary task solving presentations. The characteristics of algorithmic and creative reasoning that are seen in the presentations are analyzed. We find that most task solutions are based on…

In the June 2010 "Harvard Business Review," Dan Ariely, a professor of psychology and behavioral economics at Duke University, wrote a column entitled "You Are What You Measure." In it, he thoughtfully prods business leaders to consider the problematic correlation between the tools for measuring progress and actual…

Simulations are of growing interest within the social studies in terms of research and practice. Although the findings of early research were unfavorable to simulations in terms of student learning, recent research has revealed new and interesting findings related to different domains of student learning that earlier research did not. In light of…