Authentic Learning Activities Number Operation

Although emerging technologies are becoming popularised for teaching, learning and research, the relationship between their use and transformative effects on higher education remain largely unexplored. This edited collection seeks to fill this gap by providing a nuanced view, locating higher education pedagogical practices at an intersection of emerging technologies, authentic learning and activity systems. Providing numerous case studies as examples, the book draws from a wide range of contexts to illustrate how such a convergence has the potential to track transformative teaching and learning practices in the higher education sector. Chapters provide the reader with a variety of transformative higher education pedagogical practices in southern contexts, theorised within the framework of Cultural Historical Activity Theory (CHAT) and tool mediation, while using authentic learning as a pedagogical model upon which this theoretical framework is based. The topics covered in the book have global relevance, with research paying particular attention to South Africa, Australia and New Zealand, where the authors are based. The book will be of interest to educators, researchers and practitioners in higher education, as well as those interested in emerging technologies in education more generally.

This book helps educators provide opportunities for their students to engage in creative and collaborative projects that blur the lines between subjects and promote problem-finding and problem-solving activities. It offers a global perspective on makerspaces through an Indian and Australian lens, illustrating the commonalities between the approach and the pedagogy in order to highlight the universal nature of these essential 21st-century skills. The book is particularly useful for science, technology and mathematics teachers, highlighting the potential of engaging in a more integrated curriculum approach to their specific discipline. It is of great interest to scholars whose research focuses on understanding 21st-century skills and how they can be taught and assessed in a school setting. It is an indispensable resource for teacher educators, school administrators, curriculum designers, policymakers and researchers in the field of science education.

Numbers are the backbones of mathematics. From 1 to infinity, numbers accompany and underlie the learning of mathematics and research. While perceived as familiar and understood, numbers present fascinating and often mysterious patterns, relationships and pedagogical issues. The Learning and Teaching of Number explores how mathematics education research has addressed issues related to the structure of numbers and number operations and provides a classroom context. It invites readers to explore less-travelled paths through a well-trodden terrain of number. This fascinating book combines mathematical content with pedagogical ideas and research results. Focusing on number, the book illustrates central ideas related to numbers via a variety of tasks at different levels of complexity. The Learning and Teaching of Number will allow the reader to examine and develop personal understanding of number sets and the relationships among them; enhance personal understanding of familiar topics associated with number operations; engage in a variety of tasks and strengthen personal problem-solving skills; enrich their repertoire of mathematical tasks and pedagogical actions; and consider research ideas and results related to teaching numbers, number operations and number relationships. This is a valuable resource for teacher education courses, graduate programs in mathematics education and professional development programs. Teacher trainers and maths teachers will find their personal understanding of numbers and relationships enriched and will draw connections between research and classroom pedagogy which will extend and enhance their teaching.