Field experiments in education frequently assign entire groups such as schools to treatment or control conditions. These experiments incorporate sometimes a longitudinal component where for example students are followed over time to assess differences in the average rate of linear change, or rate of acceleration. In this study, we provide methods…

The 2011 study, "Benefits of Practicing 4 = 2 + 2: Nontraditional Problem Formats Facilitate Children's Understanding of Mathematical Equivalence," examined the effects of addition practice using nontraditional problem formats on students' understanding of mathematical equivalence. In nontraditional problem formats, operations appear on…

Randomized trials of educational interventions often face logistical hurdles (Cook, 2002). For example, sometimes they are prevented from reaching their full-term. This would happen if, as a condition of participation, subjects insist on receiving the treatment program within a certain timeframe. This timeframe may be shorter than the full-term…

Prodigies are individuals with exceptional mental abilities. How is it possible that some of these people mentally calculate exponentiations with high accuracy and speed? We examined CP, a mental calculation prodigy, and a control group of 11 normal calculators for moderate mental arithmetic tasks. CP has additionally been tested for exceptionally…

Introduction: When counting is taught to students at primary stage of schooling, they are generally allowed to use their fingers as a counting tool. Therefore, some students continue using their fingers to count, while others stop this habit later. The students who have the habit of using their fingers to count have difficulty when their fingers…

For RCTs of education interventions, it is often of interest to estimate associations between student and mediating teacher practice outcomes, to examine the extent to which the study's conceptual model is supported by the data, and to identify specific mediators that are most associated with student learning. This paper develops statistical power…

We used functional magnetic resonance imaging (fMRI) to explore the patterns of brain activation associated with different levels of performance in exact and approximate calculation tasks in well-defined cohorts of children with mathematical calculation difficulties (MD) and typically developing controls. Both groups of children activated the same…

This NCEE Technical Methods report examines how to address the problem of missing data in the analysis of data in Randomized Controlled Trials (RCTs) of educational interventions, with a particular focus on the common educational situation in which groups of students such as entire classrooms or schools are randomized. Missing outcome data are a…

The aim of this study is to evaluate the benefit of chess in mathematics lessons for children with learning disabilities based on lower intelligence (IQ 70-85). School classes of four German schools for children with learning disabilities were randomly assigned to receive one hour of chess lesson instead of one hour of regular mathematics lessons…

This paper examines the estimation of two-stage clustered RCT designs in education research using the Neyman causal inference framework that underlies experiments. The key distinction between the considered causal models is whether potential treatment and control group outcomes are considered to be fixed for the study population (the…

Despite the increasing use of the microgenetic methodology to examine change, the techniques employed to analyse microgenetic data remain fairly unsophisticated. This paper reviews the existing ways of analysing such data and describes their limitations. We use two recent studies to illustrate how modelling can avoid these problems and reveal…

The issue of lower than expected mathematics achievement is a concern to education leaders and policymakers at all levels of the U.S. PK-12 education system. The purpose of this quantitative, quasi-experimental study was to determine if there was a measurable difference in achievement on the mathematics section of the state test for students (n =…

The purpose of the present study was to evaluate whether verbal fluency tasks may specifically induce relatively greater left than right hemispheric activation in the dorsolateral prefrontal cortex. The effectiveness of the manipulation was evaluated by EEG, which was recorded during performance of the verbal fluency task and during two control…

I estimate the impact of attending a magnet school on student achievement in mathematics in a moderately large Southern district. Admission to magnet schools is through lotteries. Actual attendance by lottery winners is of course voluntary. I use lottery outcomes as instruments to control for bias due to self-selection of enrollees. Because…