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Engaging Young Children in Mathematics: Standards for Early Childhood Mathematics Education brings together the combined wisdom of a diverse group of experts involved with early childhood mathematics. The book originates from the landmark 2000 Conference on Standards for Prekindergarten and ...

Engaging Young Children in Mathematics: Standards for Early Childhood Mathematics Education brings together the combined wisdom of a diverse group of experts involved with early childhood mathematics. The book originates from the landmark 2000 Conference on Standards for Prekindergarten and Kindergarten Mathematics Education, attended by representatives from almost every state developing standards for young children's mathematics; federal government officials; mathematicians; mathematics educators; researchers from mathematics education, early childhood education, and psychology; curriculum developers; teachers; policymakers; and professionals from organizations, such as the National Conference of Teachers of Mathematics and the National Association for the Education of Young Children. The main goal of the Conference was to work collectively to help those responsible for framing and implementing early childhood mathematics standards. Although it has its roots in the Conference, the expanded scope of the standards and recommendations covered in this book includes the full range of kindergarten to grade 2. The volume is organized into two main parts and an online appendix (http://www.gse.buffalo.edu/org/conference/). Part One, Major Themes and Recommendations, offers a framework for thinking about pre-kindergarten-grade 2 mathematics education and specific recommendations. Part Two, Elaboration of Major Themes and Recommendations, provides substantive detail regarding young students' understandings of mathematical ideas. Each Part includes five parallel subsections: "Standards in Early Childhood Education"; "Math Standards and Guidelines"; "Curriculum, Learning, Teaching, and Assessment"; "Professional Development"; and "Toward the Future: Implementation and Policy." As a whole the book: presents comprehensive summaries of research that provide specific guidelines for standards, curriculum, and teaching; takes the recent reports and recommendations for early childhood mathematics education to the next level; integrates practical details and research throughout; and provides a succinct, but thorough review of research on the topics, sequences, and learning trajectories that children can and should learn at each of their first years of life, with specific developmental guidelines that suggest appropriate content for each topic for each year from 2-year-olds to 7-year-olds. This is an indispensable volume for mathematics educators, researchers, curriculum developers, teachers and policymakers, including those who create standards, scope and sequences, and curricula for young children and professional teacher development materials, and students in mathematics education, early childhood trainers, teacher educators, and faculty in mathematics education.

Observers have maintained that grades in secondary and postsecondary institutions have become inflated. This possibility is an especially serious concern to many colleges and universities because such inflation could make it increasingly difficult for them to distinguish among high-achieving ...

Observers have maintained that grades in secondary and postsecondary institutions have become inflated. This possibility is an especially serious concern to many colleges and universities because such inflation could make it increasingly difficult for them to distinguish among high-achieving students. This study examines this possibility by evaluating changes in high school grading standards across the nation as a whole from 1982 to 1992.

Testing is one of the most controversial of all state and federal educational policies. The effects of testing are quite ambiguous. The same test may lead to different consequences in different circumstances, and teachers may use very different strategies to prepare students for tests. Although most ...

Testing is one of the most controversial of all state and federal educational policies. The effects of testing are quite ambiguous. The same test may lead to different consequences in different circumstances, and teachers may use very different strategies to prepare students for tests. Although most experts agree that mandatory testing leads to teaching to the test, they disagree about whether it leads to meaningless drill, wasted time, de-professionalizing teachers, and demotivating students, or to more challenging and thoughtful curricula, more engaging teaching, increased student motivation, and increased accountability. To help sort through this ambiguity and provide a firmer basis for decisions, The Ambiguity of Teaching to the Test: Standards, Assessment, and Educational Reform offers a hard look at the effects of state testing, and thoroughly examines the ambiguity of test preparation and how test preparation practices are influenced by what teachers know and the leadership coming from the school and district. Drawing on data from a three-year study of New Jersey's testing policy in elementary mathematics and science, it helps to explain the variety of ways that teachers modify their teaching in response to state tests, raises important questions, and offers useful guidance on how state policymakers and local and district school administrators can implement policies that will improve educational equity and performance for all students. It also offers an in-depth analysis of classroom practices that should inform teachers and teacher educators whose goal is to meaningfully implement conceptually based teaching practices. This comprehensive look at the statewide variation in testing practice features: *a data-based, non-ideological treatment of how testing affects teachers, in a field characterized by ideologically driven beliefs and by anecdotes; *an extensive and well-integrated combination of qualitative and quantitative data sources that provide a statewide overview, as well as an in-depth analysis of teachers and classrooms; *a careful analysis of the variety of forms of teaching to the test; and *a multilevel exploration of how a variety of personal and leadership factors can influence teaching to the test. This is an important book for researchers, professionals, and students in educational testing, educational policy, educational administration, mathematics and science education, educational reform, and the politics and sociology of education. It will also prove useful for state policymakers, school and district leaders, and teacher educators and curriculum specialists who are making decisions about how to design and respond to new testing systems.