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Early Geometrical Thinking in the Environment of Patterns, Mosaics and Isometries
This book discusses the learning and teaching of geometry, with a special focus on kindergarten and primary education. It examines important new trends and developments in research and practice, and emphasizes theoretical, empirical and developmental issues. Further, it discusses various topics, including curriculum studies and implementation, spatial abilities and geometric reasoning, as well as the psychological roots of geometrical thinking and teacher preparation in geometry education. It considers these issues from historical, epistemological, cognitive semiotic and educational points of view in the context of students' difficulties and the design of teaching and curricula.
How Humans Learn to Think Mathematically
How Humans Learn to Think Mathematically describes the development of mathematical thinking from the young child to the sophisticated adult. Professor David Tall reveals the reasons why mathematical concepts that make sense in one context may become problematic in another. For example, a child's experience of whole number arithmetic successively affects subsequent understanding of fractions, negative numbers, algebra, and the introduction of definitions and proof. Tall's explanations for these developments are accessible to a general audience while encouraging specialists to relate their areas of expertise to the full range of mathematical thinking. The book offers a comprehensive framework for understanding mathematical growth, from practical beginnings through theoretical developments, to the continuing evolution of mathematical thinking at the highest level.
Educating the Developing Mind
A must-read for anyone working within education or intellectual development, Educating the Developing Mind introduces and integrates classical and modern research with the theory of the developing mind, creating a robust theory of learning and instruction. Drawing on the theories of Piaget, Bruner, and Vygotsky, coupled with 40 years of empirical research, this book highlights the importance of individual and social construction in learning and proposes a robust framework and methodology for teaching and strengthening learner cognitive processes. Filled with subject-specific research, this essential book highlights how cognitive development takes place and advocates a guided constructive app...
Hypothetical Learning Trajectories
The purpose of this special issue is to present several research perspectives on learning trajectories with the intention of encouraging the broader community to reflect on, better define, adopt, adapt, or challenge the concept. The issue begins by briefly introducing learning trajectories. The remaining articles provide elaboration, examples, and discussion of the construct. They purposefully are intended to be illustrative, exploratory, and provocative with regard to learning trajectories construct; they are not a set of verification studies.
Teacher Noticing: Bridging and Broadening Perspectives, Contexts, and Frameworks
This book reflects on the continuing development of teacher noticing through an exploration of the latest research. The authors and editors seek to clarify the construct of teacher noticing and its related branches and respond to challenges brought forth in earlier research. The authors also investigate teacher noticing in multiple contexts and frameworks, including mathematics, science, international venues, and various age groups.
Professionalism in Teacher Education
Papers presented at the 39th Annual Conference of the Indian Association of Teacher Educators, held at Allahabad during 10-11 February 2006.
