This paper attempts to investigate five and six-year old children's ability to formulate logical reasoning. More specifically, our interest focuses on the investigation of young children's ability to use arguments based on logical reasoning. Can pre-school children build arguments based on logical reasoning such as deductive reasoning, or forms of…

The paper is a philosophical analysis of experimentation. The philosophical framework of the analysis is the interrogative model of inquiry developed by Hintikka. The basis of the model is explicit and well-formed logic of questions and answers. The framework allows us to formulate a flexible logic of experimentation. In particular, the formulated…

The received view of mathematical practice is that mathematicians gain certainty in mathematical assertions by deductive evidence rather than empirical or authoritarian evidence. This assumption has influenced mathematics instruction where students are expected to justify assertions with deductive arguments rather than by checking the assertion…

This article looks at a simple geometry problem that also involves some reasoning about number combinations, and show how it was used in a Year 7 classroom. The problem is accessible to students with a wide range of abilities, and provides scope for stimulating extensive discussion and reasoning in the classroom, as well as an opportunity for…

While a significant amount of research has been devoted to exploring why university students struggle applying logic, limited work can be found on how students actually make sense of the notational and structural components used in association with logic. We adapt the theoretical framework of unitizing and reification, which have been effectively…

Few studies on calculus limits have centred their focus on student understanding of limits at infinity or infinite limits that involve continuous functions (as opposed to discrete sequences). This study examines student understanding of these types of limits using both pure mathematics and applied-science functions and formulas. Seven calculus…

The extent to which individual differences in cognitive abilities affect the relationship among task complexity, attention to form, and second language development has been addressed only minimally in the cognition hypothesis literature. The present study explores how reasoning demands in tasks and working memory (WM) capacity predict learners'…

Understanding the underpinnings of social responsiveness and theory of mind (ToM) will enhance our knowledge of autism spectrum disorder (ASD). We hypothesize that higher-order relational reasoning (higher-order RR: reasoning necessitating integration of relationships among multiple variables) is necessary but not sufficient for ToM, and that…

At first glance Sweden looks like a researcher's paradise with high levels of GDP investment in research and high scores on citation indexes, yet recent studies have suggested that Sweden might be losing its edge in groundbreaking research. This paper explores why that is happening by examining researchers' logics of decision-making at a large…

Recent studies reveal that children can solve proportional reasoning problems presented with continuous amounts that enable intuitive strategies by around 6 years of age but have difficulties with problems presented with discrete units that tend to elicit explicit count-and-match strategies until at least 10 years of age. The current study tests…

Undergraduate computer science students need to learn analytical reasoning skills to develop high-quality software and to understand why the software they develop works as specified. To accomplish this central educational objective, this article describes a systematic process of introducing reasoning skills into the curriculum and assessing how…

This research targets children's informal strategies and knowledge of fractions by examining their ability to create, interpret, and connect representations in doing and communicating mathematics when solving fractions tasks. Our research group followed a constant comparative method to analyze clinical interviews of children in grades 2-6 solving…

Organic chemistry is often promoted as a course designed to cultivate skill in scientific "ways of thinking." Expert organic chemists perceive their field as one in which plausible answers to complex questions are arrived at through analytical thought processes. They draw analogy between problem solving in organic chemistry and diagnosis…

The study addresses professional vision, including the abilities of selective attention and knowledge-based reasoning. This article focuses on the latter ability. Groups with different sport-specific and pedagogical expertise (n = 60) were compared according to their observation and interpretation of sport activities in a four-field design. The…

Two large sections of first-semester general chemistry were assigned to use different homework systems. One section used MindTap, a Cengage Learning product, which presents short sections of the textbook with embedded homework questions; such that students could read the textbook section then answer one or more questions in the same screen. The…