By W.H. Schmidt (Editor), Curtis C. McKnight (Editor), S. Raizen (Editor)
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Additional resources for A Splintered Vision: An Investigation of U.S. Science and Mathematics Education
Grade 4). Bold-face labels are more general categories that subsume more specific (non-bold-face) performance expectations. S. and international) are arranged in three categories — specific expectations listed only in 70 percent of curriculum guides, those listed in 70 percent of both curriculum guides and textbooks, and those listed only in 70 percent of the textbooks. S. Investigating Problem Solving Predicting Verifying Mathematical Reasoning Developing notation & vocabulary Developing algorithems Knowing Representing Recognizing equivalents Recalling mathematical objects and properties Knowing Representing Using Routine Procedures Using equipment Performing routine procedures* Using more complex procedures Using Routine Procedures Using equipment Performing routine procedures* Using more complex procedures* Investigating & Problem Solving Formulating and clarifying problems and solutions Developing strategy Solving Investigating & Problem Solving Formulating and clarifying problems and solutions Developing strategy Solving Predicting Verifying Recalling mathematical objects and properties' Mathematical Reasoning Generalizing Conjecturing Justifying and proving Communicating Using vocabulary and notation Relating representations Describing/discussing 45 UNFOCUSED CURRICULA Exhibit 15.
Roots & Radicals Measurement Perimeter, Area & Volume Geometry: Position, Visualization & Shape 2-D Geometry: Coordinate Geometry 2-D Geometry: Basics 2-D Geometry: Polygons & Circles 3-D Geometry Measurement Units Perimeter, Area & Volume Estimation & Errors Geometry: Position, Visualization & Shape 2-D Geometry: Coordinate Geometry 2-D Geometry: Basics 2-D Geometry: Polygons &Circles 3-D Geometry Measurement Perimeter, Area & Volume Geometry: Position, Visualization & Shape 2-D Geometry: Coordinate Geometry* 2-D Geometry: Basics 2-D Geometry: Polygons & Circles 35 UNFOCUSED CURRICULA Exhibit 12.
Numbers Whole Numbers Properties of Operations Fractions and Decimals Relation of Common & Decimal Fractions Integer, Rational & Real Numbers Negative Numbers, Integers & Their Properties Other Numbers & Number Concepts Number Theory Counting Estimation & Number Sense Estimating Quantity & Size Rounding & Significant Figures Proportionality Proportionality Concepts Data Representation, Probability, & Statistics Data Representation & Analysis Validation & Structure Validation and Justification Structuring and Abstracting Other Content UNFOCUSED CURRICULA 33 If we wish to use more extensive coverage of topics in textbooks as evidence of focus, only three topics receive more extensive coverage at Population 1.