Arithmetic is a major mathematical focus in elementary school curriculum, and researchers such as Mason (2008) claim that "algebraic thinking is required in order to make sense of arithmetic" (p. 58). When adding, subtracting, multiplying, and dividing, learners must rely on a small set of fundamental properties also important for the…

Students' interest in mathematics is important for their learning of mathematics, and the ability to accurately judge students' motivational orientation is important for mathematics teachers. The aim of this study was to answer the following research questions: (1) Is there a difference in students' interest in solving problems with and without a…

Learning in anatomy can be both spatially and visually complex. Pedagogical investigations have begun exploration as to how spatial ability may mitigate learning. Emerging hypotheses suggests individuals with higher spatial reasoning may attend to images differently than those who are lacking. To elucidate attentional patterns associated with…

This study offers a view on students' technology-based problem solving activity through the lens of a theoretical model which accounts for the relationship between mathematical and technological knowledge in successful problem solving. This study takes a qualitative approach building on the work of a 13-year-old girl as an exemplary case of the…

Creativity is more important than ever in today's knowledge-based economy. Although many students doubt their own creativity, very few exercises are designed to help them access this ability. We believe that self-expression and self-reflection are important for understanding personal creative ability. Jung introduced the mandala to promote these…

Courses: Communication and Conflict. Objectives: Through the use of a game-based framework, students will build intrinsic motivation to engage with course material and course content, and will engage their critical-thinking, problem-solving, and communication skills in relation to conflict management over the length of the course. A list of…

Enzyme kinetics is an essential part of biochemistry programs, which have been gaining importance in recent years for their applications in biotechnology and biomedicine. The teaching and learning of these issues has been traditionally hampered by difficulties that stem mainly from the dynamic and mathematical nature of the topic and the…

In this paper, we derive the result of the classical gambler's ruin problem using elementary linear algebra. Moreover, the pedagogical advantage of the derivation is briefly discussed.

This study investigated 111 pre-service teachers' (PSTs') flexibility with referent units in solving a fraction division problem using a length model. Participants' written solutions to a measurement fraction division problem were analyzed in terms of strategies and types of errors, using an inductive content analysis approach. Findings suggest…

By allowing students to ask critical questions about the places and spaces surrounding them, teachers can empower them to develop problem-solving skills to tackle issues and make a difference in their communities. In this article, Smith and Lowenstein offer three wonderful examples of long-standing environmental place-based education projects that…

Six US first-year university students in humanities or social science degree programmes were interviewed while solving 4 tasks on continuity and asymptotes in a required mathematics course. The focus was on how the students referred to the definitions or to the concept images when solving the tasks and if partial understandings appeared. Partial…

There has been much controversy over the null hypothesis significance testing procedure, with much of the criticism centered on the problem of inverse inference. Specifically, p gives the probability of the finding (or one more extreme) given the null hypothesis, whereas the null hypothesis significance testing procedure involves drawing a…

Environmental experience can enhance the ideas of design students. Thus, this type of experience may interfere with the influence of design students' cognitive style on creativity. The aim of this study was to examine the influence of environmental experience on the relationship between innovative cognitive style and industrial design students'…

The United States is one of only three countries in the world that remain uncommitted to the metric system. Perhaps to policymakers the decision to hang on to miles, pounds, and gallons is one of tradition. However, as a physics teacher I have seen firsthand how growing up with U.S. Customary Units (commonly called by the pseudonym "British…

In mathematical activities and in the analysis of mathematics teaching-learning processes, "objects," "signs", and "representations" are often mentioned, where the meaning assigned to those words is sometimes very broad, sometimes limited, other times intuitive, allusive, or not completely clear. On the other hand, as…