This paper focuses attention on psychological evidence of relevance to advanced mathematical thinking. It considers Edelman’s theory of neural Darwinism and Paivio’s theory of dual coding and contemplates how they reveal different perspectives in mathematics education. The former is consonant with the notion of concept image with both supportive and conflicting mental resonances, the latter is ...

The use of concept maps continues to grow worldwide, and users are consistently finding new applications and uses for the tool. However, we continue to observe difficulties in the use of the tool that seem to be consistent throughout countries and domains of use. Among them, we cite the difficulty in the construction and structure of propositions, the lack of a focus question to guide the const...

To manage information like ontology, we usually use categorization with concept hierarchy. Such concept hierarchies are managed individual for each system due to the many differences in concept hierarchies. Consequently, it is difficult to reuse information in computer-based systems. Here, we propose a new concept alignment method for concept hierarchies as a solution to this problem, and const...

This paper presents a tool for creating and visualising formal concept trees. The concept tree provides an alternative visualisation to the more commonly known concept lattice. The tool described here is an extension of the In-Close formal concept mining program, where concepts are output in a format that can be visualised in a Web Browser using the Collapsible Tree Layout from the D3.js JavaSc...

Fuzzy Logics have been applied successfully within both Formal Concept Analysis and Description Logics. Especially in the latter field, Fuzzy Logics have been gaining significant momentum during the last two years. Unfortunately, the research on fuzzy logics within the two communities has been conducted independently from each other, leading to different approaches being pursued. We show that i...

Abstract. We propose a method to incrementally compute and use, during the concept formation, the relevance of a concept property. This relevance is computed through the account of the property correlation with other ones and it is used by the concept quality function in order to improve predictive accuracy. The proposed approach is analyzed concerning both the prediction power of the generated...

Daily experience shows that in the real world, the meaning of many concepts heavily depends on some implicit context, and changes in that context can cause radical changes in the concepts. This paper introduces a method for incremental concept learning in dynamic environments where the target concepts may be context-dependent and may change drastically over time. The method has been implemented...

The present work deals with a teaching experience with students beginning their formation in engineering at a university level. It deals with a non traditional course of Calculus using concept mapping as a teaching tool. Considering learning by the students to be a development of both cognitive aspects as well as non-cognitive aspects, concept mapping was integrated into the course in order to ...

Concept drift occurs when a target concept changes over time. I present a new method for learning shifting target concepts during concept drift. The method, called Concept Drift Committee (CDC), uses a weighted committee of hypotheses that votes on the current classification. When a committee member’s voting record drops below a minimal threshold, the member is forced to retire. A new committee...

This paper describes UAIC’s system built for participating in the Scalable Concept Image Annotation challenge 2015. We submitted runs both for Subtask 1 (Image Concept detection and localisation) and for Subtask 2 (Generation of Textual Descriptions of Images). For the first subtask we created an ontology with relations between concepts and their synonyms, hyponyms and hypernyms and also with r...