Maria Trigueros

In spite of the fact that APOS Theory has been used extensively in numerous scholarly publications, in the design of textbooks, and in teaching practice, there is no single references that contains all the relevant information about its components, and provides guidance about its application. The goal of this book is to present the main elements of APOS theory. It should be useful for researchers who work with, or would like to learn more about, this theoretical approach, people who are interested in the way which mathematical conceptions are constructed according to this theory, Mathematics Education researchers, graduate students in Mathematics Education, and Mathematics instructors.

In spite of the fact that APOS Theory has been used extensively in numerous scholarly publications, in the design of textbooks, and in teaching practice, there is no single references that contains all the relevant information about its components, and provides guidance about its application. The goal of this book is to present the main elements of APOS theory. It should be useful for researchers who work with, or would like to learn more about, this theoretical approach, people who are interested in the way which mathematical conceptions are constructed according to this theory, Mathematics Education researchers, graduate students in Mathematics Education, and Mathematics instructors.

Linear algebra is a cornerstone of mathematics, yet its teaching and learning present unique challenges. This book invites readers to explore how linear algebra concepts can be introduced and developed through engaging activities, real-world applications, and the integration of technology in the classroom. Delving into key topics such as systems of linear equations, linear transformations, determinants, eigen theory, and vector spaces, the book bridges theory and practice. It provides field-tested activities that engage student thinking, offering instructors adaptable tools to foster conceptual understanding. Additionally, it presents recent research findings, making them accessible to educators and researchers alike. By focusing on task design, student interaction, and instructor facilitation, the book demonstrates how these elements can work together to enhance learning. Researchers will also find a comprehensive overview of studies on linear algebra education, with a focus on tasks and tools that promote meaningful engagement. This highly practical book is an indispensable resource for educators, researchers, and general readers looking to transform linear algebra instruction and enhance student engagement.

Linear algebra is a cornerstone of mathematics, yet its teaching and learning present unique challenges. This book invites readers to explore how linear algebra concepts can be introduced and developed through engaging activities, real-world applications, and the integration of technology in the classroom. Delving into key topics such as systems of linear equations, linear transformations, determinants, eigen theory, and vector spaces, the book bridges theory and practice. It provides field-tested activities that engage student thinking, offering instructors adaptable tools to foster conceptual understanding. Additionally, it presents recent research findings, making them accessible to educators and researchers alike. By focusing on task design, student interaction, and instructor facilitation, the book demonstrates how these elements can work together to enhance learning. Researchers will also find a comprehensive overview of studies on linear algebra education, with a focus on tasks and tools that promote meaningful engagement. This highly practical book is an indispensable resource for educators, researchers, and general readers looking to transform linear algebra instruction and enhance student engagement.