Topic models are mathematical and statistical models used to analyze textual data. The objective of topic models is to gain information about the latent semantic space of a set of related textual data. The semantic space of a set of textual data contains the relationship between documents and words and how they are used. Topic models are becoming…

This dissertation investigates the ways that natural languages evolve and what it means in the overall cultural evolution of society. Computational and modeling advances have made possible to explore large-scale text data and test hypothesis of language evolution. Similar to biological systems, natural languages are evolving systems with words as…

Purpose: The purpose of this study is to explore the mathematical values, mathematics educational values, and educational values involved in mathematical modeling tasks based on different mathematical modeling perspectives. Design/Approach/Methods: In this context, the present study is a qualitative research based on document analysis. The data…

The reconciliation of theories of concepts based on prototypes, exemplars, and theory-like structures is a longstanding problem in cognitive science. In response to this problem, researchers have recently tended to adopt either hybrid theories that combine various kinds of representational structure, or eliminative theories that replace concepts…

To function well in an unpredictable environment using unreliable components, a system must have a high degree of robustness. Robustness is fundamental to biological systems and is an objective in the design of engineered systems such as airplane engines and buildings. Cognitive systems, like biological and engineered systems, exist within…

The purpose of this paper is to show an alternative to teach how people can do mathematical modeling of natural sciences such as physics, biology, earth science, meteorology and engineering disciplines like computer science, artificial intelligence, but also social sciences such as economics, psychology, sociology and political science using…

Extracting and representing semantic information from large scale corpora is at the crux of computer-assisted knowledge generation. Semantic information depends on collocation extraction methods, mathematical models used to represent distributional information, and weighting functions which transform the space. This dissertation provides a…

Critical education scholars contend that schools ought to play a role in the transformation of inequitable institutions and social arrangements. In part, this entails educating students in the academic disciplines, viewed as powerful lenses through which students might see the world in order to better understand why things are the way they are and…

Current debates about successful mathematics pedagogy suggest that mathematical learning and problem solving can be enhanced by using metaphors as they provide students with a tool for thinking. But assisting pre-service teachers to understand the importance of careful and accurate explanations for mathematical concepts remains an issue. This…

Chronometric studies of language and memory processing typically emphasize changes in mean response time (RT) performance across conditions. However, changes in mean performance (or the lack thereof) may reflect distinct patterns at the level of underlying RT distributions. In seven experiments, RT distributional analyses were used to better…

This article investigates how linguistic expressions of time--in particular, temporal adverbs and verb tense morphemes--are used to establish temporal reference at the level of brain physiology. First, a formal semantic analysis of tense and temporal adverbs is outlined. It is argued that computing temporal reference amounts to solving a…

The authors present a computational model that builds a holographic lexicon representing both word meaning and word order from unsupervised experience with natural language. The model uses simple convolution and superposition mechanisms to learn distributed holographic representations for words. The structure of the resulting lexicon can account…

Discusses language comprehension and describes a technology for computer-aided text analysis called READWARE and software from the READWARE family called the Research Assistant that measures the relatedness of words or phrases by examining their letters. The theory of Letter Semantics is explained, and paradigms for text processing in information…

Purpose: The purpose of this paper is to present a computational approach and a toolset to infer spatial displacements as they occur in route narrative documents and report on first experiments done to produce computer-aided learning (CAL) applications and instructional design editors that exploit the inferred georeferenced itineraries.…