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Linear algebra occupies a central place in modern mathematics. Also, it is a beautiful and mature field of mathematics, and mathematicians have developed highly effective methods for solving its problems. It is a subject well worth studying for its own sake. This book contains selected topics in linear algebra, which represent the recent contributions in the most famous and widely problems. It includes a wide range of theorems and applications in different branches of linear algebra, such as linear systems, matrices, operators, inequalities, etc. It continues to be a definitive resource for researchers, scientists and graduate students.
Recent research suggests that good relationships between parents and their children’s providers or teachers could lead to positive outcomes for children and families. Positive, mutually respectful, and collaborative relationships between families and schools and education providers and teachers contribute to young children’s school readiness, increase positive family engagement in children’s programs, and strengthen home-program connection, a critical factor to children’s school success. Bridging Family-Teacher Relationships for ELL and Immigrant Students is a comprehensive reference source that focuses on research-based pedagogical practices for teaching young English language learn...
There has been a considerable progress made during the recent past on mathematical techniques for studying dynamical systems that arise in science and engineering. This progress has been, to a large extent, due to our increasing ability to mathematically model physical processes and to analyze and solve them, both analytically and numerically. With its eleven chapters, this book brings together important contributions from renowned international researchers to provide an excellent survey of recent advances in dynamical systems theory and applications. The first section consists of seven chapters that focus on analytical techniques, while the next section is composed of four chapters that center on computational techniques.
In order to promote effective learning, individuals must feel fully appreciated within their own unique identities (i.e., ethnicities, language differences, socioeconomic status, gender, religions). Culturally competent educators employ practices that acknowledge and build on cultural diversity and that identify students themselves as resources and honors assets possessed within the context of the school community. Designing Culturally Competent Programming for PK-20 Classrooms is a comprehensive research publication that explores strategies and best practices for designing culturally competent curricula and serves as a courier for stakeholders fostering inclusive and forward-thinking opportunities in PK-20 classrooms. Highlighting a wide range of topics such as ethics, leadership, and organizational development, this book is ideal for educators, administrators, academicians, curriculum developers, instructional designers, researchers, and students.
Life transitions differ concerning the intensity of the change and the intensity of the child’s reaction to that change. For most children, the first and most significant transition is from the family home to an institution of early care and education, which includes preschool. These transitions can also include children's passage from kindergarten to elementary school. However, the intensity of the child's reaction is related to the size of the change that is happening and also to who or what is involved in that change and the importance a child attributes to that someone or something. Supporting Children’s Well-Being During Early Childhood Transition to School is an essential scholarly...
The idea of storytelling goes beyond the borders of language, culture, or traditional education, and has historically been a tie that bonds families, communities, and nations. Digital storytelling offers opportunities for authentic academic and non-academic literacy learning across a multitude of genres. It is easily accessible to most members of society and has the potential to transform the boundaries of traditional education. As concepts around traditional literacy education evolve and become more culturally and linguistically relevant and responsive, the connections between digital storytelling and disciplinary literacy warrant considered exploration. Connecting Disciplinary Literacy and...
This monograph covers in a comprehensive manner the current state of classification theory with respect to infinite abelian groups. A wide variety of ways to characterise different classes of abelian groups by invariants, isomorphisms and duality principles are discussed.
Linguists, researchers, and other practitioners in language education acknowledge that the resolution of language problems associated with breaking down language and cultural barriers that hinder the growth of learners’ self-identities and national identities is ongoing. In fact, even with decades of research in home language use in the classroom, there are still classrooms worldwide where learners are deprived of the opportunity of building their self-esteem, confidence, and autonomy by communicating with their native language. The global nature of communication requires speakers to use all the languages in their repertoire effectively, thus reinforcing the need to encourage home language...
This book is a concise yet complete calculus textbook covering all essential topics in multi-variable calculus, including geometry in three-dimensional space, partial derivatives, maximum/minimum, multiple integrals and vector calculus as well as a chapter for ODE. All the chapters are constructed in a logical way to outline the essence of each topic and to address potential difficulties arising from learning.