Credentials of hypothetical standing principal candidates are assessed in a 3X2 completely crossed factorial design varying diversity of applicants (Hispanic, Latino, or White) and diversity of students (low vs. high Hispanic enrollments). Screening decisions of superintendents are assessed according to job-related criteria, probability of an…

The use of lecture capture in higher education is becoming increasingly widespread, with many instructors now providing digital videos of lecture content that can be used by students as learning resources in a variety of ways, including to catch up on material after a class absence. Despite accumulating research regarding the relationship between…

Problem Statement: Difficulties in the learning process usually emerge from the problem of mental representations constructed by students in their interactions with the world. This previous knowledge and these ideas are in contradiction with scientific facts, and are known as misconceptions or alternative ideas. Thus, an analysis of the mental…

"t"-Tests are widely used by researchers to compare the average values of a numeric outcome between two groups. If there are doubts about the suitability of the data for the requirements of a "t"-test, most notably the distribution being non-normal, the Wilcoxon-Mann-Whitney test may be used instead. However, although often…

When playing percussion instruments, the main activity is done with the help of a motion or motor skills; to perform it, developed fine motor skills are necessary: the speed and precision of fingers, hands and palms. The aim of the research was to study and test the development of young adults' fine motor skills while learning to play percussion…

Research on teaching high school mathematics shows that the topic of percentages often causes learning difficulties. This article describes a method of teaching percentages that the authors used in university bridging courses. In this method, the information from a word problem about percentages is presented in a two-way table. Such a table gives…

A challenging problem in some developing countries such as Nigeria is inadequate training of students in effective problem solving using the core concepts of their disciplines. Related to this is a disconnection between their learning and socio-economic development agenda of a country. These problems are more vivid in statistical education which…

Presented at the Annual Meeting of the American Educational Research Association (AERA) in April 2009. Compares results of different approaches to propensity-score matching with hierarchical data.

This article demonstrates that the variance of three or four observations can be expressed in terms of the range and the first order differences of the observations. A more general result, which holds for any number of observations, is also stated.

An exact permutation test is provided for the tetrachoric correlation coefficient. Comparisons with the conventional test employing Student's t distribution demonstrate the necessity of using the permutation approach for small sample sizes and/or disproportionate marginal frequency totals. (Contains 4 tables.)

Experimental data are analysed statistically to allow researchers to draw conclusions from a limited set of measurements. The hard fact is that researchers can never be certain that measurements from a sample will exactly reflect the properties of the entire group of possible candidates available to be studied (although using a sample is often the…

This study elaborates the Rasch differential item functioning (DIF) model formulation under the marginal maximum likelihood estimation context. Also, the Rasch DIF model performance was examined and compared with the Mantel-Haenszel (MH) procedure in small sample and short test length conditions through simulations. The theoretically known…

To ensure the competitiveness of the USA in the global economy, and its role as a leader in science and engineering, it is important to cultivate the next generation of home grown mathematicians. However, while universities across the USA offer calculus classes to thousands of undergraduate students each year, very few of them go on to major in…

The purpose of this causal-comparative study was to examine whether differences exist in the mathematics achievement of fifth grade gifted students based on the instructional delivery model used for mathematics instruction, cluster or collaborative, as defined by the Georgia Department of Education. The content area of mathematics, an area…

The aim of the paper is to compare and evaluate the probability-related misconceptions of pupils at different education levels. A cross-sectional/age study was thus conducted with 540 pupils in 5th-8th grades. An instrument, comprising six questions on the concepts of compound events, probability of an event and probability comparisons, was used.…