Research monographs (which may be based on PhD works).
Some of the contributions to this volume deal primarily with foundational issues, others with specific models and theoretical issues. A few are concerned with semantics, but most focus on syntax.
This book identifies the basic elements of the language of mathematics, such as values, variables, and functions, while presenting the grammatical rules for combining them into expressions and other structures.
Taking the reader on a wondrous journey through the invisible universe that surrounds us--a universe made visible by mathematics--Devlin shows us what keeps a jumbo jet in the air, explains how we can see and hear a football game on TV, and ...
Another way of expressing this, is that the thesis of the book takes the idea of mathematics as a human creation, and, using the evidence from language, comes to more radical conclusions than most writers allow.
The Language of Mathematics was awarded the E.W. Beth Dissertation Prize for outstanding dissertations in the fields of logic, language, and information.
" Professor Geoffrey Pullum, University of Edinburgh, UK "I really liked this book. First, it is written very well and secondly, the author has taken a rather non-standard but very attractive approach to mathematical linguistics.
Covers all areas, including operations on languages, context-sensitive languages, automata, decidability, syntax analysis, derivation languages, and more.
This brief collection of refereed papers approaches several technical as well as methodological aspects of the mathematical formalization of natural language, particularly in syntax and in semantics.
Word, definitions and concepts in discourses of mathematics, teaching and learning. Language and Education, 18, 1–15. Moschkovich, J. N. (2007). ... The pragmatics of mathematics education: Vagueness in mathematical discourse.
This book explores the ways in which fourth-grade students use story, metaphor, and language to develop mathematical thinking skills and strategies. Replete with children's stories and illustrations, the book looks...