This experimental study evaluated the effectiveness of a research-based intervention, schema-based instruction (SBI), on students' proportional problem solving. SBI emphasizes the underlying mathematical structure of problems, uses schematic diagrams to represent information in the problem text, provides explicit problem solving and metacognitive…

Despite years of implementing standards-based accountability systems, many teachers today lack the necessary preparation to develop standards-based instructional strategies and to inform decisions utilizing student assessments. The eMINTS ("Enhancing Missouri's Instructional Networked Teaching Strategies") National Center at the…

The significant increase of English Language Learners (ELLs) in the United States raises complex questions about how to provide these students with access to high quality education that can improve both their content knowledge of school subjects and their English proficiency, particularly their academic English proficiency. The development of…

In this paper the augmentation of worked examples with animations for teaching problem-solving skills in mathematics is advocated as an effective instructional method. First, in a cognitive task analysis different knowledge prerequisites are identified for solving mathematical word problems. Second, it is argued that so called hybrid animations…

With regard to transfer, is it better to provide pupils with ready-made representations or is it more effective to scaffold pupils' thinking in the process of generating their own representations with the help of peers and under the guidance of a teacher in a process of guided co-construction? The sample comprises 10 classes and 239 Grade 5…

Mathematical problem solving is a transfer challenge requiring children to develop schemas for recognizing novel problems as belonging to familiar problem types for which they know solutions. Schema-based transfer instruction (SBTI) explicitly teaches transfer features that change problems in superficial ways to make them appear novel even though…