In their years of teaching geometry, Wong and Bukalov realized that the greatest challenge has been getting students to improve their reasoning. Many students have difficulty writing formal proofs--a task that requires a good deal of reasoning. Wong and Bukalov reasoned that the solution was to divide the lessons into parallel tasks, allowing…

In this paper, we investigate which aspects are overriding in the concept images of monotonicity of Finnish tertiary mathematics students, i.e., on which aspects of monotonicity they base their argument in different types of exercises related to that concept. Further, we examine the relationship between the quality of principal aspects and the…

An experiment with a mechanical black box containing unknown masses is presented. The experiment involves the determination of these masses and their locations by performing some nondestructive tests. The set-ups are inexpensive and easy to fabricate. They are very useful to gain an understanding of some well-known principles of mechanics.

The purpose of this study is to develop a better understanding of technologies that use natural language as the basis for concept map construction. In particular, this study focuses on the semantic relation (SR) approach to drawing rich and authentic concept maps that reflect students' internal representations of a problem situation. The…

Pythagoras Theorem is an old mathematical treatise that has traversed the school curricula from secondary to tertiary levels. The patterns it produced are quite interesting that many researchers have tried to generate a kind of predictive approach to identifying triples. Two attempts, namely Diophantine equation and Brahmagupta trapezium presented…

We use epistemological framing to interpret participants' behavior during group problem-solving sessions in an intermediate mechanics course. We are interested in how students frame discussion and in how the groups shift discussion framings. Our analysis includes two framing axes, expansive vs narrow and serious vs silly, which together…

Starting with the fundamental and general criterion for a spontaneous process in thermodynamics, delta S[subscript tot] greater than or equal to 0, we review its relationships to other criteria, such as delta A and delta G, that have limitations. The details of these limitations, which can be easily overlooked, are carefully explicated. We also…

The purpose of the present study was to examine direct and indirect relations among social problem-solving, depression, and aggression, as well as the mediating role of depression in the link between social problem-solving and aggression among Turkish youth. Data for the present study were collected from 413 adolescents. The participants' age…

Problem solving task design is not only the design of a non-routine problem to be solves by the students. Our task design also requires a supporting document, the practical worksheet, which would act as a cognitive scaffold for the students in the initial stages of the problem solving process before they can internalize the metacognitive…

Values are conceptualized as the standards individuals use to determine the status of events and actions and are considered to influence individuals' behaviours, reasoning, and perceptions. Based on a synthesis of six school-based student values enhancement programs, this paper reports on the development of the Children's Values Questionnaire…

Background Engineering: Faculty members should adopt effective pedagogical approaches in order to maximize student learning. The beliefs of faculty members about instructional practice are an important construct in determining what and how they teach. Purpose: This study investigates the effect of faculty members' involvement in model-eliciting…

This study is part of ongoing research in undergraduate mathematics education. The study was guided by the belief that understanding the mental constructions the pre-service teachers make when learning matrix algebra concepts leads to improved instructional methods. In this preliminary study the data was collected from 85 pre-service teachers…

Subjective confidence for solving classroom problems while instructing students in appropriate academic material is crucial for effective teaching. One way to develop problem solving confidence may result from the semester most education majors spend in the classroom as student teachers. The problem solving inventory (PSI) was given to university…

This study aimed at investigation of the roles of the laboratory in students' academic achievement in chemistry in secondary schools in Ebonyi State of Nigeria. Four research questions and two hypotheses guided the study. A sample of 240 students selected through simple random sampling technique from ten secondary schools in the 3 Education Zones…

Higher order thinking skills (HOTS) is one of the important aspect of teaching and learning mathematics. By using HOTS, student will be able to acquire a deep understand of mathematical concepts and can be applied in real life. Students ability to develop the capacity of the HOTS is closely related with thinking processes while solving mathematics…