Reviewing Forecasting Software — A Review Essay

Two forecasting packages, AUTOCaST and 4CaST/2, which cover overlapping ground but differ in their focus, are contrasted under a number of different headings.     

Reviewing some Results on Fair Domination in Graphs

A fair dominating set in a graph G is a dominating set S such that all vertices not in S are dominated by the same number of vertices from S; that is, every two vertices outside S have the same number of neighbors in S. The fair domination number fd(G) of G is the minimum cardinality of a fair dominating set. In this work, we review the results stated in [Caro, Y., Hansberg, A., and Henning, M., Fair domination in graphs, Discrete Math. 312 (2012), no. 19, 2905–2914], where the concept of fair domination was introduced. Also, some bounds on the fair domination number are derived from results obtained in [Caro, Y., Hansberg, A., and Pepper, R., Regular independent sets in graphs, preprint].     

Reviewing Integrated Science and Mathematics: The Search for Evidence and Definitions From New Perspectives

Based upon current research needs indicated from recent literature reviews, this integrative review concentrates on two of the perceived major impediments to integrating science and mathematics: The lack of evidence to support integration and the lack of a definition for integration. Using mixed methodology, this review found quantitative evidence favoring integration from a meta-analysis of 31 studies of student achievement, qualitative evidence revealing the existence of multiple forms of integration, and historical evidence of publishing patterns from across the 20th century. The forms of integration were identified and defined; differential effects were identified both between forms and between science and mathematics when the forms were analyzed by effect size. Additional research implications and suggestions for future research were also identified.