The main purpose of this study was to test the effects of word-problem (WP) intervention, with versus without embedded language comprehension (LC) instruction, on at-risk 1st graders' WP performance. We also isolated the need for a structured approach to WP intervention and tested the efficacy of schema-based instruction at 1st grade. Children (n…

The purpose of the current study was to examine academic and cognitive profiles of first graders who responded adequately and inadequately to intensive small-group reading intervention (Tier 2), as well as assess how these profiles differ based on the criteria used for classification of unresponsiveness. Nonresponders were identified using two…

The purpose of this study was to explore the utility of a dynamic assessment (DA) of algebraic learning in predicting third graders' development of mathematics word-problem difficulty. In the fall, 122 third-grade students were assessed on a test of math word-problem skill and DA of algebraic learning. In the spring, they were assessed on…

Dynamic assessment (DA) involves helping students learn a task and indexing responsiveness to that instruction as a measure of learning potential. The purpose of this study was to explore the utility of a DA of algebraic learning in predicting third graders' development of mathematics problem solving. In the fall, 122 third-grade students were…

The purpose of this study was to assess the effects of schema-broadening instruction (SBI), with and without explicit instruction in strategies for tackling the complexities involved in real-life (RL) math problems, on the math problem solving of third-grade students. Teachers (n = 30) were assigned randomly to 3 16-week conditions: control, SBI,…

This article first describes two types of assessment (problem solving and standard treatment protocol) within a "responsiveness-to-instruction" framework to identify learning disabilities. It then specifies two necessary components (measures and classification criteria) to assess responsiveness-to-instruction, and present pertinent findings from…

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…

The purposes of this study were to assess the effects of schema-based instruction (SBI) in promoting mathematical problem solving and to investigate schema induction as a mechanism in the development of mathematical problem solving. Twenty-four 3rd-grade teachers, with 366 students, were assigned randomly to conditions that provided instruction on…

This article describes the two basic versions of the responsiveness-to-intervention (RTI) approach for identifying learning disabilities, the problem solving model and the standard-protocol approach. It reviews evidence on effectiveness and feasibility and concludes that more needs to be understood before RTI may be viewed as a valid…

This article describes "Hot Math," a third-grade intervention conducted with small groups of students with disabilities or in inclusive classrooms that fosters mathematical problem solving. Hot Math integrates two promising practices to promote mathematical problem solving, explicit instruction about transfer and self-regulation strategies.…

A small-group mathematical problem-solving tutorial treatment with explicit instruction including transfer to novel problems was evaluated with 40 students. On word problems and transfer word problems, tutoring effected reliably stronger growth, although effects on real-world problem solving, while moderate to large, were not statistically…