Though previously unacknowledged, a SMART (Sequential Multiple Assignment Randomized Trial) design uses both regression discontinuity (RD) and randomized controlled trial (RCT) designs. This combination structure creates a conceptual symbiosis between the two designs that enables both RCT- and previously unrecognized, RD-based inferential claims.…

The purpose of this paper is to demonstrate and describe why alternating treatments design (ATD) researchers should consider employing a no-treatment series during the alternating treatments phase. To identify limitations associated with excluding this design element, we obtained examples of ATD studies published in five school psychology journals…

An online intro-to-proof course provided an unexpected opportunity for a series of email exchanges that yielded insights into one student's mathematical thinking and the ambiguous role of mathematical jargon in miscuing this student's reasoning. The jargon deals with the notation [limit value of a function], which encapsulates multiple conceptual…

The use of singular methodologies has dominated emotional and behavioral disorder (EBD) intervention research, and by extension, the field has not deployed mixed-methods research (MMR). The purpose of this article is to provide an overview of MMR and demonstrate its utility for conducting EBD intervention research. The basic tenants and design…

As the research base for school crisis intervention and prevention expands, the need for well-developed tools to assess school readiness in the event of a crisis increases. This paper describes how the Comprehensive Crisis Plan Checklist (CCPC) was updated to reflect advances in crisis management and crisis planning. An extensive literature search…

Randomization of large number of participants to different treatment groups is often not a feasible or preferable way to answer questions of immediate interest to professional practice. Single case designs (SCDs) are a class of research designs that are experimental in nature but require only a few participants, all of whom receive the…

This paper documents the process and outcome of the development and validation of a coding scheme to analyse mathematics classroom discourse in the context of Hong Kong primary schools. The objective of this coding scheme was to systematically analyse teacher discourse behaviours before and after an intervention programme; the programme aimed to…

To support students with disabilities who do not respond to typically effective reading intervention, special education teachers are expected to implement evidence-based practices for intensifying intervention. Data-based individualization is an effective, evidence-based practice recommended in research to intensify intervention, but requires…

A proof is a connected sequence of assertions that includes a set of accepted statements, forms of reasoning and modes of representing arguments. Assuming reasoning to be central to proving and aiming to develop knowledge about how teacher actions may promote students' mathematical reasoning, we conduct design research where whole-class…

The concept of "proof" has attracted considerable research attention over the past decades in part due to its indisputable importance to the discipline of mathematics and to students' learning of mathematics. Yet, the teaching and learning of proof is an instructionally arduous territory, with proof being recognized as a hard-to-teach…

In this retrospective commentary on "Acceptability of Behavioral Interventions Used in Classrooms: The Influence of Amount of Teacher Time, Severity of Behavior Problem, and Type of Intervention," I first examine the concept of social validity and related measurement challenges per Wolf's concerns about consumers' subjective reactions to…

In contrast to existing research that has typically addressed the process from example generation to proof construction, this study aims at enhancing empirical examination after proof construction leading to revision of statements and proofs in secondary school geometry. The term "empirical examination" refers to the use of examples or…

The What Works Clearinghouse (WWC) Standards Briefs explain the rules the WWC uses to evaluate the quality of studies for practitioners, researchers, and policymakers. This brief explains what baseline equivalence is and why it matters. As part of the WWC review process for certain types of studies, reviewers assess whether the intervention group…

In this article, we respond to Wolery's critique of the What Works Clearinghouse (WWC) pilot "Standards," which were developed by the current authors. We do so to provide additional information and clarify some points previously summarized in this journal. We also respond to several concerns raised by Maggin, Briesch, and Chafouleas…

Presenting major advances in understanding learning disabilities (LDs) and describing effective educational practices, this authoritative volume has been significantly revised and expanded with more than 70% new material. Foremost LD experts identify effective principles of assessment and instruction within the framework of multi-tiered systems of…