The structure and content of a contemporary second language textbook are intended to encourage the initiative learner activity and create proper conditions for its manifestation in the curriculum. This premise unreservedly accepted by the teaching community proposes a flexible approach to second language acquisition encouraging individual self-learning experience. Textbook Theory and Invariant Approaches to Language Learning: Emerging Research and Opportunities is a critical scholarly publication that examines the structure and function of current second language learning curricula and classrooms. The book pursues three main objectives, which include (1) reconstruction of the general conceptual framework of textbook theory; (2) systematization of the invariant approach applications; and (3) production of a set of concepts, principles, rules, and regularities underlying the invariant-based text development. Featuring a wide range of topics such as learning patterns, proficiency, and communication, this book is ideal for education professionals, academicians, professionals, researchers, curriculum designers, and students.

"This book brings together premises dealing with a variety of aspects of second language acquisition and processing in their fundamental interpretation extending to the essential structure and function of the methodologically sound system"--

The challenge to improve second language acquisition efficiency has always been at the heart of education because a good command of a language provides new opportunities to manipulate information and apply acquired knowledge and skills to novel problems in new situations. Thus, there is a necessity for creating an alternative to either task-based or form-focused methods commonly employed in today’s instruction. An Invariant-Based Approach to Second Language Acquisition: Emerging Research and Opportunities is an essential reference source that elaborates on traditional 2L concepts and terms and provides new practical tools and mechanisms for developing student communicative competencies. Featuring research on topics such as syllabus design, language interpretation, and speech types, this book is ideally designed for educators, administrators, researchers, and academicians.

Digitization has undergone a number of paradigm shifts where structures, processes, and behaviors have changed, including in education. Higher education faces major challenges both pedagogically and technically, but also provides great opportunities to design and teach for self-directed and motivated higher education with smart pedagogy. It is crucial that teachers identify the pedagogical and technological benefits to smart education in order to enhance student-centered learning. Virtual and Mobile Learning Activities in Higher Education is a pivotal reference source that focuses on virtual and mobile learning activities in higher education for student-centered learning and the ways that teachers can design and use different learning activities, both blended and mobile, for self-directed and motivated “smart” education. Additionally, the book examines how students perceive these activities and how the outcomes can be analyzed in use with adaptive, resource-enriched, and technology-embedded tools. Highlighting a broad range of topics including feedback activities, mobile learning, and self-assessment, this book is ideally designed for educators, curriculum developers, instructional designers, programmers, software developers, administrators, policymakers, researchers, academicians, and students.

Reflection groups and invariant theory is a branch of mathematics that lies at the intersection between geometry and algebra. The book contains a deep and elegant theory, evolved from various graduate courses given by the author over the past 10 years.

This book presents the characteristic zero invariant theory of finite groups acting linearly on polynomial algebras. The author assumes basic knowledge of groups and rings, and introduces more advanced methods from commutative algebra along the way. The theory is illustrated by numerous examples and applications to physics, engineering, numerical analysis, combinatorics, coding theory, and graph theory. A wide selection of exercises and suggestions for further reading makes the book appropriate for an advanced undergraduate or first-year graduate level course.

This book, the first volume of a subseries on "Invariant Theory and Algebraic Transformation Groups", provides a comprehensive and up-to-date overview of the algorithmic aspects of invariant theory. Numerous illustrative examples and a careful selection of proofs make the book accessible to non-specialists.