Ensuring the quality of investigations requires the understanding of procedures by which empirical evidence is obtained. This can be interpreted as becoming aware of and using criteria for evidence in one's mental structure. The question is whether this process can be observed in practice. In two schools for pre-university education where 11th…

Hachey's (2013) article celebrates a revolution that is taking place in early childhood mathematics education, fueled in part by developmental research demonstrating the mathematical capabilities of young children. At the same time, Hachey notes that the mathematics revolution she describes is not yet complete. In this commentary, the author…

In the early stages of word learning, children demonstrate considerable flexibility in the type of symbols they will accept as object labels. However, around the 2nd year, as children continue to gain language experience, they become focused on more conventional symbols (e.g., words) as opposed to less conventional symbols (e.g., gestures). During…

This paper describes the design of a mathematical microworld to tackle the persistent difficulties that secondary school students have with the idea of algebraic generalization, which is a key stumbling block in secondary-school mathematics classrooms. Our focus is to characterize algebraic ways of thinking and to design both affordances of the…

Learning and executive functions such as task-switching share common neural substrates, notably prefrontal cortex and basal ganglia. Understanding how they interact requires studying how cognitive control facilitates learning but also how learning provides the (potentially hidden) structure, such as abstract rules or task-sets, needed for…

For students with physical and health disabilities, the development of self-advocacy skills is critical to their future success. Characteristics that may inhibit the development of self-advocacy skills in this population include reliance on others for assistance across multiple areas requiring physical abilities, deficits in communication skills,…

Since heterogeneity between reliability coefficients is usually found in reliability generalization studies, moderator analyses constitute a crucial step for that meta-analytic approach. In this study, different procedures for conducting mixed-effects meta-regression analyses were compared. Specifically, four transformation methods for the…

This work has a three-fold purpose. The first is to set out the rationale for an alternative approach for assessing the generalizability of research findings. (It is related to but not equivalent to the CE method.) The second is to formalize this approach through a quantitative model. The third is to apply the approach to the results of the…

This study systematically replicated and extended previous research on response interruption and redirection (RIRD) by assessing instructed responses of a different topography than the target behavior, percentage of session spent in treatment, generalization of behavior reduction, and social validity of the intervention. Results showed that RIRD…

We will first recall useful formulas in integration that simplify the calculation of certain definite integrals with the quadratic function. A main formula relies only on the coefficients of the function. We will then explore a geometric proof of one of these formulas. Finally, we will extend the formulas to more general cases. (Contains 3…

Purpose: Kiran and colleagues (Kiran, 2007, 2008; Kiran & Johnson, 2008; Kiran & Thompson, 2003) previously suggested that training atypical examples within a semantic category is a more efficient treatment approach to facilitating generalization within the category than training typical examples. In the present study, the authors extended…

Every environment contains infinite potential features and correlations among features, or patterns. Detecting valid and learnable patterns in one environment is beneficial for learners because doing so lends predictability to new environments where the same or analogous patterns recur. However, some apparent correlations among features reflect…

This chapter describes a concrete process that stakeholders can use to make predictions about the future performance of programs in local contexts. Within the field of evaluation, the discussion of validity as it relates to outcome evaluation seems to be focused largely on questions of internal validity (Did it work?) with less emphasis on…

Three questions regarding adult readers' processing of generalization inferences (conceptually broad statements that subsume several specific statements) are investigated. College students (N=193) read expository texts containing target statements that were consistent, inconsistent, or off-topic in relation to a generalization implied by one…

The purpose of this study was to synthesize internal consistency reliability for the subscale scores on the Maslach Burnout Inventory (MBI). The authors addressed three research questions: (a) What is the mean subscale score reliability for the MBI across studies? (b) What factors are associated with observed variance in MBI subscale score…