Measuring And Visualizing Space In Elementary Mathematics Learning
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Measuring and Visualizing Space in Elementary Mathematics Learning
Measuring and Visualizing Space in Elementary Mathematics Learning explores the development of elementary students’ understanding of the mathematics of measure, and demonstrates how measurement can serve as an anchor for supporting a deeper understanding of number operations and rational numbers. The concept of measurement is centrally implicated in a number of mathematical operations, yet is not often given the placement it deserves in the elementary mathematics curriculum. By drawing on K-5 classroom research, authors Lehrer and Schauble have been able to articulate a learning progression that describes benchmarks of student learning about measure in length, angle, area, volume, and rational number, exploring related concepts, classroom experiences, and instructional practices at each stage. Offering a unique, research driven resource for helping students develop a deep understanding of measurement to further enhance mathematical understanding, as well as further learning in other STEM disciplines; the book will be relevant for scholars, teacher educators, and specialists in math education. The book is accompanied by online resources developed for practitioners, including instructional guides, examples of student thinking, and other teacher-focused materials, helping clarify how to bring concepts of measure and rational number to life in classrooms.
Disciplinary and Interdisciplinary Education in STEM
This book provides an international platform for educators from different STEM disciplines to present, discuss, connect, and develop collaborations in two inter-related ways: (1) sharing and discussing changes and innovations in individual discipline-based education in STEM/STEAM, and (2) sharing and discussing the development of interdisciplinary STEM/STEAM education. Possible relationships and connections between individual disciplines (like mathematics or physics) and STEM education remain under explored and the integration of traditionally individual discipline-based education in STEM education is far from balanced. Efforts to pursue possible connections among traditionally separated individual disciplines in STEM are not only necessary for the importance of deepening and expanding interdisciplinary research and education in STEM, but also for the ever-increasing need of reflecting on and changing how traditional school subjects (like mathematics or physics) can and should be viewed, taught, and learned. Scholars from eight countries/regions provide diverse perspectives and approaches on changes and innovations in STEM disciplinary and interdisciplinary education. Disciplinary and Interdisciplinary Education in STEM will be a great resource to students and researchers in STEM education as well as STEM curriculum developers and teacher educators internationally.
Visualizing Mathematics
This unique volume surveys recent research on spatial visualization in mathematics in the fields of cognitive psychology and mathematics education. The general topic of spatial skill and mathematics has a long research tradition, but has been gaining attention in recent years, although much of this research happens in disconnected subfields. This volume aims to promote interaction between researchers, not only to provide a more comprehensive view of spatial visualization and mathematics, but also to stimulate innovative new directions in research based on a more coordinated effort. It features ten chapters authored by leading researchers in cognitive psychology and mathematics education, as well as includes dynamic commentaries by mathematics education researchers on cognitive psychology chapters, and by cognitive psychologists on mathematics education chapters. Among the topics included: From intuitive spatial measurement to understanding of units. Spatial reasoning: a critical problem-solving tool in children’s mathematics strategy tool-kit. What processes underlie the relation between spatial skill and mathematics? Learning with and from drawing in early years geometry. Communication of visual information and complexity of reasoning by mathematically talented students. Visualizing Mathematics makes substantial progress in understanding the role of spatial reasoning in mathematical thought and in connecting various subfields of research. It promises to make an impact among psychologists, education scholars, and mathematics educators in the convergence of psychology and education.