In this paper, we investigate the ways in which 15 year-old students conceive interrelated issues of randomness. We deal with these issues of randomness as a whole and not separately from each other, in contrast to the research so far. In order to analyse the students' ways we introduce a modification of Kyburg's Schema [(1974). "The logical…

As it is already observed by mathematicians and educators, there is a discrepancy between the formal techniques of mathematical logic and the informal techniques of mathematics in regards to proof. We examine some of the reasons behind this discrepancy and to what degree it affects doing, teaching and learning mathematics in college. We also…

The present study investigates the effect of three neo-Piagetian constructs, namely Formal Reasoning (FR), Field Dependence/Independence (FDI) and Divergence (DIV), as well as the effect of age and gender, on students' portrayed representations of the atomic structure, considering their degree of coherence. For this purpose students'…

In recent years, the learning and teaching of combinatorics presents particular educational research interest from the primary up to higher education levels. The combinatorial problems constitute a valuable opportunity for mathematical exploration, as combinatorics is a branch of mathematics with many applications, providing a complex network of…

Risk is a fundamental component of well-being and is interconnected with all aspects of child development. The aim of this paper is to explore children's (N = 50) own perspectives and perceptions of risky situations. Semi-structured interviews were conducted and images were used as prompts. Children aged five to six years were asked to identify…

The role of teachers is very important for the educational utilization of Computational Thinking (CT) and its integration in education. As with any innovation, CTs' successful integration considerably depends on the perceptions, beliefs and attitudes of the teachers who will be asked to implement it. The study of these characteristics, concerning…

This paper aims at exploring (a) whether preschoolers recognize that offspring share physical traits with their parents due to birth and behavioural ones due to nurture, and (b) whether they seem ready to explain shared physical traits with a "pre-biological" causal model that includes the contribution of both parents and a rudimentary…

In this study, structural equation modeling (SEM) is applied to an instrument assessing students' understanding of chemical change. The instrument comprised items on understanding the structure of substances, chemical changes and their interpretation. The structural relationships among particular groups of items are investigated and analyzed using…

In this study, we investigate the meaning students attribute to the structure of mathematical induction (MI) and the process of proof construction using mathematical induction in the context of a geometric recursion problem. Two hundred and thirteen 17-year-old students of an upper secondary school in Greece participated in the study. Students'…

Students' experiences and perceptions of good teaching and understanding in literature and physics during one school year were investigated through in-depth interviews with students in eight Greek high school classes in the first, second and third grade. The pedagogical quality of in-depth teaching and understanding of subject matter, as described…

Fuzzy logic, which is based on fuzzy sets theory introduced by Zadeh in 1965, provides a rich and meaningful addition to standard logic. The applications which may be generated from or adapted to fuzzy logic are wide-ranging and provide the opportunity for modeling under conditions which are imprecisely defined. In this article we develop a fuzzy…

This study examined the development of children's reasoning about the afterlife and its relationship with parental afterlife beliefs and testimony. A total of 123 children aged 5, 7, and 10 years were read a story describing the events that led to a person's death. After hearing the story, children were asked questions about the dead agent's…

In this study, structural equation modeling (SEM) is applied to an instrument assessing students' understanding of the particulate nature of matter, the collective properties and physical changes, such as melting, evaporation, boiling and condensation. The structural relationships among particular groups of items were investigated. In addition,…

In this study, students' understanding of chemical changes was investigated in relation to four individual differences, related to logical thinking, field dependence/independence, convergence and divergence thinking. The study took place in Greece with the participation of students (n = 374) from three grades (8th, 10th and 12th grades) of…

In this study, students' understanding of the structure of matter and its changes of state such as melting, evaporation, boiling, and condensation was investigated in relation to three cognitive variables: logical thinking (LTh), field dependence/independence, and convergence/divergence dimension. The study took place in Greece with the…