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Traditional mathematics remediation is based on the theory that traditional mathematics remedial courses increase students’ subsequent academic performance. However, most students assigned to these courses do not pass them and thus cannot graduate. An alternative approach, corequisite remediation, assigns students instead to college-level quantitative courses with additional academic support, often aligned to a student’s major. Here, we report the longer-term results of a randomized controlled trial comparing corequisite remediation (with statistics) and traditional algebra remediation (297 students per group). The corequisite group not only demonstrated significantly higher quantitative course pass rates but also success in many other disciplines, as well as significantly higher graduation rates. We also report the results of two quasi-experimental analyses (propensity score matching) demonstrating higher pass rates for corequisite mathematics remediation with 347 additional students in different settings. Policies requiring corequisite mathematics remediation can result in greater student success than is obtained with traditional remediation.

By definition, all of the stimuli in an equivalence class have to be functionally interchangeable with each other. The present experiment, however, demonstrated that this was not the case when using post-class-formation dual-option response transfer tests. With college students, two 4-node 6-member equivalence classes with nodal structures of A-->B-->C-->D-->E-->F were produced by training AB, BC, CD, DE, and EF. Then, unique responses were trained to the C and D stimuli in each class. The responses trained to C generalized to B and A, while the responses trained to D generalized to E and F. Thus, each 4-node 6-member equivalence class was bifurcated into two 3-member functional classes: A-->B-->C and D-->E-->F, with class membership precisely predicted by nodal structure. A final emergent relations test documented the intactness of the underlying 4-node 6-member equivalence classes. The coexistence of the interchangeability of stimuli in an equivalence class and the bifurcation of such a class in terms of nodal structure was explained in the following manner. The conditional discriminations that are used to establish a class also imposes a nodal structure on the stimuli in the class. Thus, the stimuli in the class acquire two sets of relational properties. If the format of a test trial allows only one response option per class, responding on those trials will be in accordance with class membership and will not express the effects of nodal distance. If the format of a test trial allows more than one response option per class, responding on those trials will be determined by the nodal structure of the class. Thus, the relational properties expressed by the stimuli in an equivalence class are determined by the discriminative function served by the format of a test trial.

A number of primary-intervention studies with typical adults and children in opencommunity settings have been conducted in the area of applied behavior analysis. For example, communities and researchers have attempted to reach out to certain populations by designing and offering community-based prevention programs. In such attempts, the target individuals have not yet experienced the contingency between the participation and its consequence; that is, it is likely that the recruitment depends on antecedent control of participation. The present paper reviewed studies with group designs in which the individuals were recruited to community-based prevention programs. The selected studies were classified into the following four antecedent control procedures used in the studies: stating contingencies in the invitation; altering the value of consequence through the invitation; manipulating response effort; and others. After specific recruiting strategies used in the studies were examined, the authors concluded that many of the studies consisted of multiple and confounding variables. It is recommended future studies isolate the effects of different independent variables, rather than evaluate treatment packages.

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