The Intended Mathematics Curriculum As Represented In State Level Curriculum Standards
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The Intended Mathematics Curriculum as Represented in State-Level Curriculum Standards
This volume represents a detailed analysis of the grade placement of mathematics learning goals across all state-level curriculum standards published as of May 2005. The volume documents the varied grade-level mathematics curriculum expectations in the U.S. and highlights a general lack of consensus across states. As states continue to work to improve learning opportunities for all students this report can serve as a useful summary to inform future curriculum decisions. The report is also intended to stimulate discussion at the national level regarding roles and responsibilities of national agencies and professional organizations with regard to curriculum leadership. Serious and collaborative work that results from such discussions can contribute to a more coherent, focused mathematics curriculum for US students
Lessons Learned from Research on Mathematics Curriculum
This volume focuses on research related to mathematics curriculum. But rather than focusing on results of research, it focuses on lessons learned about conducting research on curriculum, whether about design and development, analysis of curriculum in the form of official standards or textbook instantiations, teacher intentions related to curriculum implementation, or actual classroom enactment. For scholars interested in curriculum research, the volume offers lessons about conducting curriculum research that have been learned by others engaged in such work, including frameworks, tools, and techniques, as well as challenges and issues faced, with solutions to address them. Sharing lessons from authors of different countries strengthens the broader mathematics research community and provides insights that can help researchers make important strides forward in research on mathematics curriculum.
Variability is the Rule
In response to No Child Let Behind, states have developed mathematics curriculum frameworks that outline their intended curriculum for grades K–8. While some have indicated that districts or individual schools may use their framework as a model for specific curricular programs, others have taken a more prescriptive or even mandatory stance. Collectively, these frameworks present a sense of the national mathematics program and what we expect students learn. This volume follows The Intended Curriculum as Represented in State Mathematics Curriculum Standards: Consensus or Confusion? (Reys). While the Reys volume focused on number and operations, algebra and reasoning strands, the Smith volume analyzes geometry, measurement, probability, and statistics strands. It also presents an analysis what verbs used tell us about the cognitive demand of grade level expectations. This volume, even more than the Reys volume, emphasizes the theme of variability in the content, expression, and clarity of grade level expectations across the states. As the nation moves toward implementation of the Common Core Standards, this volume highlights some of the challenges teachers and other school personnel face in interpreting mathematics grade-level standards as goals for classroom teaching. The shift from 50 state standards to one document does not resolve this basic challenge.