In The Geometry of Meaning, Peter Gardenfors proposes a theory of semantics that bridges cognitive science and linguistics and shows how theories of cognitive processes, in particular concept formation, can be exploited in a general semantic model. He argues that our minds organize the information involved in communicative acts in a format that can be modeled in geometric or topological terms -- in what he terms conceptual spaces, extending the theory he presented in an earlier book by that name. Many semantic theories consider the meanings of words as relatively stable and independent of the communicative context.

Ronald W. Langacker created an approach to linguistics called Cognitive Grammar, which is essentially a system of symbols that can be used to organize and analyze how semantics and phonology interact with each other in human language. Cognitive Grammar lays the groundwork for cognitive linguistics, which has become a major sub-field over the past 30 years. Langacker's 2008 Oup book Cognitive Grammar is the authoritative introduction to Cg. But for an introduction it's rather long-584 pages, divided into four sections, two of which are truly introductory and two of which offer a more detailed methodology for researchers.

The  Companion to Cognitive Linguistics is a comprehensive and accessible reference resource to research in contemporary cognitive linguistics. Written by leading figures in the field, the volume provides readers with an authoritative overview of methods and current research topics and future directions.
The volume covers all the most important issues, concepts, movements and approaches in the field. It devotes space to looking specifically at the major figures and their contributions. It is a complete resource for postgraduate students and researchers working within cognitive linguistics, psycholinguistics and those interested more generally in language and cognition.

Conversion in English: A Cognitive Semantic Approach

Drawing on the conceptual metaphor and metonymy theory outlined in works by George Lakoff, Rene Dirven, Gunter Radden and Zoltan Kovecses, Conversion in English: A Cognitive Semantic Approach proposes that the process of conversion in contemporary English is basically a semantic process underlain by a series of conceptual metonymic and metaphoric mappings.

The volume constitutes a state-of-the-art account of issues related to teaching, learning and testing speaking in a second language. It brings together contributions by Polish and international scholars which seek to create links between theory, research and classroom practice, report the findings of studies investigating the impact of linguistic, cognitive and affective factors on the development and use of speaking skills, and provide concrete pedagogic proposals for instruction and assessment in this area