Concrete symbols (e.g., "sun," "run") can be learned in the context of objects and actions, thereby grounding their meaning in the world. However, it is controversial whether a comparable avenue to semantic learning exists for abstract symbols (e.g., "democracy"). When we simulated the putative brain mechanisms of…

We investigate the articulation between domain-general reasoning and interpretive processes in failures of deductive reasoning. We focus on illusory inferences from disjunction-like elements, a broad class of deductive fallacies studied in some detail over the past 15 years. These fallacies have received accounts grounded in reasoning processes,…

The comprehension of connectives is crucial for understanding the discourse relations that make up a text. We studied connective comprehension in English to investigate whether adult comprehenders acquire the meaning and intended use of connectives to a similar extent and how connective features and individual differences impact connective…

Definitions are an integral aspect of mathematics. In particular, they form the backbone of deductive reasoning and facilitate precision in mathematical communication. However, when multiple non-equivalent definitions for the same term exist, their ability to serve these purposes can be called into question. While ambiguity can be productive, the…

In recent years, big data has become ubiquitous in our day-to-day lives. Therefore, it is imperative for educators to integrate nontraditional (big) data into statistics education to ensure that students are prepared for a big data reality. This study examined graduate students' expressions of uncertainty while engaging with traditional and…

In the property listing task (PLT), participants are asked to list properties for a concept (e.g., for the concept "dog," "barks," and "is a pet" may be produced). In conceptual property norming (CPNs) studies, participants are asked to list properties for large sets of concepts. Here, we use a mathematical model of…

Semantic is associated with the relationship between symbol, reference, and the problem's context involved in the problem-solving process which also involves reasoning and decision-making. Hence, this study describes the characteristics of students' semantic reasoning to solve the double discounts problem. 51 high school students in Sidoarjo…

When young children learn to use language, they start to use their hands in co-verbal gesturing. There are, however, considerable differences between children, and it is not completely understood what these individual differences are due to. We studied how children at 4 years of age employ speech and iconic gestures to convey meaning in different…

In the context of an analytical geometry, this study considers the mathematical understanding and activity of seven students analyzed simultaneously through two knowledge frameworks: (1) the Van Hiele levels (Van Hiele, 1986, 1999) and register and domain knowledge (Hibert, 1988); and (2) three action frameworks: the SOLO taxonomy (Biggs, 1999;…