Children learn mathematics most effectively in contexts that are meaningful to them. In order to realize the potential of those contexts for fostering young children's mathematical learning, knowledge or mathematics as well as child development is the way to nurture and challenge children's thinking. Avoiding the debates surrounding "hands-on" learning vs. direct instruction, the author focuses on the value of different contexts for learning and illustrates ways to genuinely engage children as active learners. The work is rich with examples of children's interactions with each other and with adults as they utilize and extend their understanding of mathematics. Examples and guidelines for developing lessons and activities will be useful to educators and parents. Chapters explore such topics as: how we underestimate young children's mathematical capabilities; how appropriate sequencing of learning and building on prior knowledge will enhance understanding; what teachers, including parent-teachers, need to know; and high-stakes testing. This is a work that brings together the connections between knowing the basics and constructing knowledge in accessible and practical ways.
Sydney L. Schwartz is professor emerita, elementary and early childhood education, Queens College, City University of New York. She publishes extensively in her field of mathematics education.
Chapter 1 The Educational Challenge: Empowering Young Children to Use MathematicsChapter 2 Designing Games and Playful Activities: Meaningful Contexts for Practice and ApplicationChapter 3 How Young Children Learn Mathematics: Content and Process ConnectionsChapter 4 How Young Children Learn Number Concepts and SkillsChapter 5 How Young Children Learn Geometry and MeasurementChapter 6 The Connection between Assessment and TeachingChapter 7 How Adults Can Communicate with Young Children about MathematicsChapter 8 Calendars and Clocks: Tools for Time ManagementChapter 9 Science and Mathematics: Curriculum PartnersChapter 10 Social Studies and Mathematics: Curriculum PartnersChapter 11 Meaningful Use of Mathematics in Classroom RoutinesChapter 12 Putting It All Together: One Model