Chapter 1 Introduction 1 Research Background 2 Research Purposes 3 Research Questions 4 Organization of the Book Chapter 2 Literature Review 1 Cognitive Theories of Polysemy 1.1 Contextualization 1.2 Embodiment 1.3 Schematization 1.4 Conceptualization 1.5 Categorization 1.6 Prototypicality 2 Cognitive Approaches to Polysemous Over 2.1 Full-Specification Approach 2.2 Full-Transformation Approach 2.3 Multi-Level Schematization Approach 2.4 Principled Schematization Approach 3 Common Weaknesses of Previous Approaches 4 Summary Chapter 3 Converging Perspectives: A Usage-Based Approach 1 Representational Vagueness in Classic Cognitive Approaches 2 Theoretical Foundation for the Study 2.1 Creativity and Naturalness of Language 2.2 Meaning and Sense in Lexical Semantics 2.3 Vagueness and Ambiguity in Polysemy 3 Methodological Foundation for the Study 3.1 A Usage-Based Approach 3.2 A Usage-Based Analysis: the PATH Sense of Over 4 Summary Chapter 4 A Usage-Based Construction of Over in Syntagmatic Dimension 1 Syntagmatic Construction: Within-Type Frequency and Similarity 2 Method and Data 3 Syntagmatic Construction of Over: Above-Across 3.1 Collocation 3.2 Semantic Association 3.3 Colligation 4 Summary Chapter 5 A Usage-Based Construction of Over in Paradigmatic Dimension 1 Paradigmatic Construction: Between-Type Frequency and Similarity 2 Method and Data 3 Paradigmatic Construction of Over 3.1 Basic Level Construction 3.2 Between-Type Construction: Above-Across vs.Covering 4 Summary Chapter 6 Conclusion 1 Summary 2 Prospects for the Future 3 Limitation References