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Douglas H. Clements; Julie Sarama – Routledge, Taylor & Francis Group, 2014
In this important book for pre- and in-service teachers, early math experts Douglas Clements and Julie Sarama show how "learning trajectories" help diagnose a child's level of mathematical understanding and provide guidance for teaching. By focusing on the inherent delight and curiosity behind young children's mathematical reasoning,…
Descriptors: Young Children, Early Childhood Education, Numeracy, Mathematics Education
Brese, Falk, Ed. – International Association for the Evaluation of Educational Achievement, 2012
The goal for selecting the released set of test items was to have approximately 25% of each of the full item sets for mathematics content knowledge (MCK) and mathematics pedagogical content knowledge (MPCK) that would represent the full range of difficulty, content, and item format used in the TEDS-M study. The initial step in the selection was to…
Descriptors: Preservice Teacher Education, Elementary School Teachers, Secondary School Teachers, Mathematics Teachers
Fosnot, Catherine Twomey; Jacob, Bill – National Council of Teachers of Mathematics, 2010
This book provides a landscape of learning that helps teachers recognize, support, and celebrate their students' capacity to structure their worlds algebraically. It identifies the models, contexts, and landmarks that facilitate algebraic thinking in young students and provides insightful and practical methods for teachers, math supervisors, and…
Descriptors: Mathematics Education, Elementary School Mathematics, Investigations, Number Systems