"This volume examines mathematics as a product of the human mind and analyzes the language of "pure mathematics" from various advanced-level sources. Through analysis of the foundational texts of mathematics, it is demonstrated that math is a complex literary creation, containin…
"This volume examines mathematics as a product of the human mind and analyzes the language of 'pure mathematics' from various advanced-level sources. Through analysis of the foundational texts of mathematics, it is demonstrated that math is a complex literary creation, containin…
"This volume examines mathematics as a product of the human mind and analyzes the language of 'pure mathematics' from various advanced-level sources. Through analysis of the foundational texts of mathematics, it is demonstrated that math is a complex literary creation, containin…
"This volume examines mathematics as a product of the human mind and analyzes the language of 'pure mathematics' from various advanced-level sources. Through analysis of the foundational texts of mathematics, it is demonstrated that math is a complex literary creation, containin…
This volume examines mathematics as a product of the human mind and analyzes the language of "pure mathematics" from various advanced-level sources. Through analysis of the foundational texts of mathematics, it is demonstrated that math is a complex literary creation, containing…
I. Preface -- 1. Introduction -- 2. Universals -- 3. Language as a Complex System -- II. Property of Population -- 4. Relation Between Rank and Frequency -- 5. Bias in Rank-Frequency Relation -- 6. Related Statistical Universals -- III. Property of Sequence -- 7. Returns -- 8. L…
"This volume explores the universal mathematical properties underlying big language data and possible reasons why such properties exist, revealing how we may be unconsciously mathematical in our language use. These properties are statistical and thus different from linguistic un…
This volume explores the universal mathematical properties underlying big language data and possible reasons why such properties exist, revealing how we may be unconsciously mathematical in our language use. These properties are statistical and thus different from linguistic uni…
"This book brings together ideas from experts in cognitive science, mathematics, and mathematics education to discuss these issues and to present research on how mathematics and its learning and teaching are evolving in the Information Age. Given the ever-broadening trends in Ar…
1. The Information Age, Mathematics, and Mathematics Education (S. Costa, M. Danesi, D. Martinovic) -- 2. An Unsupervised Approach to User Characterization in Online Learning and Social Platforms (D. Vilenchik) -- 3. Argumentation is Elementary: The Case for Teaching Argumentati…
This book brings together ideas from experts in cognitive science, mathematics, and mathematics education to discuss these issues and to present research on how mathematics and its learning and teaching are evolving in the Information Age. Given the ever-broadening trends in Art…
This monograph uses the concept and category of "event" in the study of mathematics as it emerges from an interaction between levels of cognition, from the bodily experiences to symbolism. It is subdivided into three parts. The first moves from a general characterization of the …