Search results for " Reason."
showing 10 items of 462 documents
Normativity, moral realism, and unmasking explanations
2004
Moral Projectivism must be able to specify under what conditions a certain inner response counts as a moral response. I argue, however, that moral projectivists cannot coherently do so because they must assume that there are moral properties in the world in order to fix the content of our moral judgements. To show this, I develop a number of arguments against moral dispositionalism, which is, nowadays, the most prom- ising version of moral projectivism. In this context, I call into question both David Lewis' dispositionalist account of colour and Chistine Korsgaard's procedural realism.
Teaching Early Mathematical Skills to 3- to 7-Year-Old Children — Differences Related to Mathematical Skill Category, Children’s Age Group and Teache…
2022
Abstract This study explored teaching early mathematical skills to 3- to 7-year-old children in early childhood education and care (ECEC) and pre-primary education. Teachers in ECEC (N = 206) answered a web survey. The first aim was to determine whether teaching frequency or pedagogical awareness of teaching early mathematical skills varied according to the category of skills (numerical skills, spatial thinking skills and mathematical thinking and reasoning skills) and whether children’s age group moderated these differences. The second aim was to explore to what extent teacher-related characteristics and children’s age group explained variations in teaching frequency concerning early mathe…
Visual cues improve students’ understanding of divergence and curl: Evidence from eye movements during reading and problem solving
2019
The coordination of multiple external representations is important for learning, but yet a difficult task for students, requiring instructional support. The subject in this study covers a typical relation in physics between abstract mathematical equations (definitions of divergence and curl) and a visual representation (vector field plot). To support the connection across both representations, two instructions with written explanations, equations, and visual representations (differing only in the presence of visual cues) were designed and their impact on students’ performance was tested. We captured students’ eye movements while they processed the written instruction and solved subsequent c…
Automated Checking of Flexible Mathematical Reasoning in the Case of Systems of (In)Equations and the Absolute Value Operator
2021
We present an approach and a tool for automatically providing feedback on solutions that involve complicated reasoning patterns. Currently the tool supports linear systems of equations and inequations that may also contain the absolute value operator and a restricted form of rational functions. This suffices for designing problems that are laborious to solve with standard mechanical procedures, but much easier using short-cuts that students may find by creative thinking. Earlier research has found that struggling with important mathematics promotes conceptual development. Our goal is to encourage students to such struggling. A crucial feature is to give them great freedom to choose the path…
Do teachers’ professional vision and teaching experience always go hand in hand? Examining knowledge-based reasoning of Finnish Grade 1 teachers
2021
This mixed-method study explored 54 Finnish Grade 1 teachers' professional vision and teaching experience. Teachers' retrospective think-aloud interviews, conducted while watching their eye-tracking recordings of classroom actions, were analysed according to the domains of knowledge-based reasoning. Negative associations between teaching experience and amount of knowledge-based reasoning were found. The qualitative examination of three teachers with different amounts of teaching experience provided concrete examples and broadened the findings. We suggest that teachers’ knowledge-based reasoning should be seen not only as an ability that increases with experience but also as an ability that …
The development of Early Mathematical Skills – A Theoretical Framework for a Holistic Model
2019
This article presents a theoretical framework for a holistic model of the development of early mathematical skills in early childhood education. The first aim of this study was to conduct a comprehensive international review of the literature to explore early mathematical skills categories. The literature review yielded three early mathematical skills categories, namely (1) numerical skills, (2) spatial thinking skills and (3) mathematical thinking and reasoning skills. Previous studies have shown that several mathematical skills develop gradually and simultaneously in early ages and that these skills areas are interconnected in mathematical skills learning. Accordingly, the second aim of t…
An Automatic Ontology-Based Approach to Support Logical Representation of Observable and Measurable Data for Healthy Lifestyle Management: Proof-of-C…
2020
Background Lifestyle diseases, because of adverse health behavior, are the foremost cause of death worldwide. An eCoach system may encourage individuals to lead a healthy lifestyle with early health risk prediction, personalized recommendation generation, and goal evaluation. Such an eCoach system needs to collect and transform distributed heterogenous health and wellness data into meaningful information to train an artificially intelligent health risk prediction model. However, it may produce a data compatibility dilemma. Our proposed eHealth ontology can increase interoperability between different heterogeneous networks, provide situation awareness, help in data integration, and discover…
Algorithms for coherence checking and propagation of conditional probability bounds
2001
In this paper, we propose some algorithms for the checking of generalized coherence (g-coherence) and for the extension of imprecise conditional probability assessments. Our concept of g-coherence is a generalization of de Finetti’s coherence principle and is equivalent to the ”avoiding uniform loss” property for lower and upper probabilities (a la Walley). By our algorithms we can check the g-coherence of a given imprecise assessment and we can correct it in order to obtain the associated coherent assessment (in the sense of Walley and Williams). Exploiting some properties of the random gain we show how, in the linear systems involved in our algorithms, we can work with a reduced set of va…
Diagrams
2020
Diagrams are two-dimensional representations of a domain in which relations among elements like points, lines, open/bounded regions on a plane match relations among the elements of that domain. Diagrams are means of surrogate reasoning, namely of exploring the possibilities to reduce or eliminate the uncertainty imparted by a problem through operations on external aids. The study of diagrams addresses formal and cognitive issues.
Parlare alla pancia. Sulla falsa dicotomia tra emozioni e ragioni
2020
Nell’attuale dibattito sul tema della post-verità le emozioni sono generalmente pensate in contrapposizione o ai ‘fatti’ o alle ‘ragioni’. Tale contrapposizione sottintende una forte svalutazione della sfera emotiva, percepita come sostanzialmente ‘irrazionale’ e pertanto pericolosa. L'articolo intende mostrare l’inadeguatezza di questa idea facendo ricorso all' apparato concettuale della Retorica di Aristotele. Il limite principale della dicotomia emozioni/ragioni consiste nel non tenere nel debito conto il fatto che l’azione umana (cui il discorso persuasivo in ultima istanza mira) non può mai prescindere dalla componente del desiderio, che è invece centrale nella prospettiva aristotelica…