The idea of "threshold concepts" has been used to identify discipline-based concepts that are critical to that academic area. Threshold concepts are often difficult for students to assimilate in a meaningful way but, once done, can be powerful for the learner. In general, threshold concepts are 1) transformative to learner thinking; 2)…

A national initiative encourages STEM careers to prepare students to succeed in an increasingly competitive economy (National Research Council, 2011). The STEM pipeline is dependent on students' mathematics course-taking trajectories, which are determined once a student enrolls in his/her first Algebra course. Despite efforts to increase access to…

Many educational Randomized Controlled Trials (RCTs) collect baseline versions of outcome measures (pretests) to be used in the estimation of impacts at posttest. Although pretest measures are not necessary for unbiased impact estimates in well executed experimental studies, using them increases the precision of impact estimates and reduces sample…

This applied paper is a report of a naturalistic observation in a mathematics classroom focusing on two second-graders. Following an exploratory visit to understand the setting and develop more specific questions for the study, the purpose of this empirical investigation was to describe the behavior of two children in the particular classroom…

Technology is viewed as a significant independent variable of the organization, affecting the organizational task structure. Viewing the classroom as the unit of observation, a technological change is introduced in the form of electronic computers to teach mathematics. Organizational task structure is defined in terms of teacher-pupil interaction…