The purpose of this article is twofold. The first is to provide evaluative information on the recovery of model parameters and their standard errors for the two-parameter item response theory (IRT) model using different estimation methods by Mplus. The second is to provide easily accessible information for practitioners, instructors, and students…

The Reduced Reparameterized Unified Model (Reduced RUM) is a diagnostic classification model for educational assessment that has received considerable attention among psychometricians. However, the computational options for researchers and practitioners who wish to use the Reduced RUM in their work, but do not feel comfortable writing their own…

The problem of racial and ethnic discipline disproportionality is both long-standing and widespread. Educators must address this issue by identifying rates of discipline disproportionality, taking steps to reduce it, and monitoring the effects of intervention on disproportionality. The purpose of this guide is to provide a reference for…

Social return on investment (SROI) offers a new strategy to measure and communicate the value of outcomes achieved by programs that provide social, health, and education services to children and their families. It can be a powerful tool for demonstrating the monetary value of programs and services and for communicating that value in a way that can…

Social return on investment (SROI) analysis offers a practical new approach for measuring and communicating the value of outcomes achieved by programs that provide social, health, and educational services to children and their families. This guide highlights the key steps in conducting SROI research, issues in data-gathering and analysis, as well…

The "positive-negative charge" model is described and demonstrated with all four operations on integers. Its major advantages are that it is both concrete and complete. (MNS)

A model for directed numbers, using a sentry moving along the number line, is described. (MNS)

A model is offered which can be used for teaching addition, subtraction, multiplication, and division with directed numbers. Illustrations for all operations are given. (MNS)

An explanation of strong base effect demonstrates that deprotonation of a reactant shifts an equilibrium toward reactants in the same way that a deprotonation of a product shifts it towards products. (Author/SA)

Shows how to model Newton's method for approximating roots on a spreadsheet. (MKR)

Provides general background on basic concepts of systems theory. Discusses applications of systems theory to computational and inferential chemistry in molecular and reaction systems, systems analysis, and synthesis. Describes methodology for studying chemical systems by computer and gives advantages of an integrated computational environment. (JM)

Mastering the basic number combinations involves discovering, labeling, and internalizing relationships, not merely drill-based memorization. Counting procedures and thinking strategies are components, and it may be that using stored procedures, rules, or principles to quickly construct combinations is cognitively more economical than relying…

Certain properties of lenses provide a physical model of the mathematical concepts of multiplication of integral numbers and of similarity transformations in geometry. Further, they can provide a realistic concrete representation for rules governing multiplication of signed numbers. Suggestions for problems and classroom demonstrations involving…

A way to use tongue depressors in a model of multiplication is presented. The original intent was to use the sticks to teach about fractions, but "mistakes" in student responses led to new ideas. It is felt that teachers should use the model in teaching multiplication. (MP)

Applications of this model to problems associated with basic phenomena in radioactivity, heat transfer, neutron chain reactions, RC circuits and vacuum pumping are presented. Example computations for each situation are included. (CW)