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Designed to support both teachers and university-based tutors in mentoring pre-service and newly qualified mathematics teachers at both primary and secondary levels, Mentoring Mathematics Teachers offers straightforward practical advice that is based on practice, underpinned by research, and geared specifically towards this challenging subject area. Developed by members of The Association of Mathematics Education Teachers, the authors draw upon the most up-to-date research and theory to provide evidence-based practical guidance. Themes covered include: the recognition of the importance of pedagogical content knowledge building upon subject knowledge developing skills of self-evaluation in or...
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 ...
This book is for people who teach calculus – and especially for people who teach student teachers, who will in turn teach calculus. The calculus considered is elementary calculus of a single variable. The book interweaves ideas for teaching with calculus content and provides a reader-friendly overview of research on learning and teaching calculus along with questions on educational and mathematical discussion topics. Written by a group of international authors with extensive experience in teaching and research on learning/teaching calculus both at the school and university levels, the book offers a variety of approaches to the teaching of calculus so that you can decide the approach for yo...
This book takes stock of the state of affairs of the teaching and learning of mathematical modelling with regard to research, development and practice. It provides a conceptual framework for mathematical modelling in mathematics education at all education levels, as well as the background and resources for teachers to acquire the knowledge and competencies that will allow them to successfully include modelling in their teaching, with an emphasis on the secondary school level. Mathematics teachers, mathematics education researchers and developers will benefit from this book. Expertly written and researched, this book includes a comprehensive overview of research results in the field, an expos...
Dialogue has long been used in primary classrooms to stimulate thinking, but it is not always easy to unite the creative thinking of good dialogue with the need for children to understand the core concepts behind knowledge-rich subjects. A sound understanding of key concepts is essential to progress through the national curriculum, and assessment of this understanding along with effective feedback is central to good practice. Dialogic Education builds upon decades of practical classroom research to offer a method of teaching that applies the power of dialogue to achieving conceptual mastery. Easy-to-follow template lesson plans and activity ideas are provided, each of which has been tried an...
"This authoritative handbook reviews the breadth of current knowledge on the conscious and nonconscious processes by which people regulate their thoughts, emotions, attention, behavior, and impulses. Individual differences in self-regulatory capacities are explored, as are developmental pathways. The volume examines how self-regulation shapes, and is shaped by, social relationships. Failures of self-regulation are also addressed, in chapters on addictions, overeating, compulsive spending, and attention-deficit/hyperactivity disorder. Wherever possible, contributors identify implications of the research for helping people enhance their self-regulatory capacities and pursue desired goals"...
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Filled with practical learning activities to adopt within your classroom, The Learning and Teaching of Statistics and Probability places reasoning about quantities and quantification at the core of learning and teaching statistics. A companion website to this book is also available at https://neilhatfield.github.io/IMPACT_Statistics/, allowing readers to access a directory of resources – data collections and web-based applets – used in some of the instructional activities featured within this book. Through its presentation of conceptual analyses and resources for teaching with statistical data, the book’s five chapters establish key concepts and foundational ideas in statistics and pro...