This open access book investigates current issues related to the evolution of research on teaching mathematics and examines up to thirty years of presage-process-product research (PPPR) in mathematics with respect to conceptualization, instrumentation, and design. The book discusses the theoretical and methodological challenges associated with PPPR, critically reviews current research, and explores the likely direction of further developments to identify future paths for research on high-quality mathematics teaching in the digital era. Subjects that are covered in this work focus on the relationships between 1) student learning outcomes measured upon completion of the mathematics teaching; 2) student learning activities in the classroom; 3) interactive mathematics teacher activities, and best practices in mathematics classrooms conducted in the presence of students; 4) pre-post-active mathematics teacher activities such as planning, assessment, and other teaching-related activities outside of the classroom; 5) mathematics teachers’ competencies, knowledge, and skills; and 6) mathematics teachers’ characteristics, including beliefs, attitudes, and motivation. This book discusses the evolution of such research in mathematics teaching and teacher education in the digital era and is of interest to researchers exploring the field of mathematics teaching and mathematics teacher education as well as educators.

This open access book investigates current issues related to the evolution of research on teaching mathematics and examines up to thirty years of presage-process-product research (PPPR) in mathematics with respect to conceptualization, instrumentation, and design. The book discusses the theoretical and methodological challenges associated with PPPR, critically reviews current research, and explores the likely direction of further developments to identify future paths for research on high-quality mathematics teaching in the digital era. Subjects that are covered in this work focus on the relationships between 1) student learning outcomes measured upon completion of the mathematics teaching; 2) student learning activities in the classroom; 3) interactive mathematics teacher activities, and best practices in mathematics classrooms conducted in the presence of students; 4) pre-post-active mathematics teacher activities such as planning, assessment, and other teaching-related activities outside of the classroom; 5) mathematics teachers’ competencies, knowledge, and skills; and 6) mathematics teachers’ characteristics, including beliefs, attitudes, and motivation. This book discusses the evolution of such research in mathematics teaching and teacher education in the digital era and is of interest to researchers exploring the field of mathematics teaching and mathematics teacher education as well as educators.

Diese Festschrift anlasslich Gabriele Kaisers 70. Geburtstags fuhrt Beitrage von mathematikdidaktischen Forscherinnen und Forschern zusammen, denen Gabriele Kaiser in ihrer eigenen wissenschaftlichen Laufbahn die entscheidenden Impulse gegeben hat, und die heute auf die gemeinsame Zeit mit Gabriele zuruckblicken. Im Laufe der Jahre pragten dabei unterschiedliche mathematikdidaktische Schwerpunkte das wissenschaftliche Werk von Gabriele Kaiser. Entsprechend vereinigt die Festschrift Beitrage zur Mathematischen Modellierung, zur Lehrerprofessionsforschung und zum Umgang mit Heterogenitat.

Does the Nordic model of education still stand by its original principles and safeguard education for all? This Open Access volume is a carefully crafted collection of chapters that investigate the different aspects of equity, equality and diversity across the education systems in the Nordic countries. Based on data from various national and international large-scale assessments, the volume provides a better understanding of both the functions and foundations of the Nordic model, along with how the concepts mentioned above are enacted in practice. Across the chapters, data from different national and international large-scale assessment studies are used for cross- and single-country analyses on a variety of issues related to equity, equality and inequality in diverse educational settings. The investigations address different subject domains (i.e., mathematics, science, reading), age and grade groups, but also issues related to teachers and the schools themselves. In addition to these empirical chapters, the book addresses the theoretical and methodological underpinnings of the ideas and tools embedded in the phenomena of equity and equality and how they have met in the Nordic model of education.