Many studies in mathematics education research occur with a nonrepresentative sample and are never replicated. To challenge this paradigm, I designed a large-scale study evaluating student conceptions in group theory that surveyed a national, representative sample of students. By replicating questions previously used to build theory around student…

Due to statistical analysis, the issue of random sampling is pertinent to any quantitative study. Unlike quantitative study, the elimination of inferential statistical analysis, allows qualitative researchers to be more creative in dealing with sampling issue. Since results from qualitative study cannot be generalized to the bigger population,…

The author discusses validation hierarchies grounded in the tradition of quantitative research that generally consists of the criteria of validity, reliability and objectivity and compares this with similar criteria developed by the qualitative tradition, described as trustworthiness, dependability and confirmability. Although these quantitative…

Intended for use by educators and the public, this report interprets the findings of two research studies on competency-based vocational education (CBVE) in Kentucky secondary schools: "The Development of an Instrument to Measure Student Attitudes toward Competency-Based Individualized Instructional Modules," by John C. Thomas, and…