The increasing use of diary methods calls for the development of appropriate statistical methods. For the resulting panel data, latent Markov models can be used to model both individual differences and temporal dynamics. The computational burden associated with these models can be overcome by exploiting the conditional independence relations…

When students understand content deeply, they recognize main concepts and understand the relationships among ideas. But the typical processes students use to study are generally not designed to generate conceptual understandings. Instead, they tend to become passive learners. In this article, the authors present three commonly used classroom…

Students are often told to use representations to solve mathematics problems, yet it may be a hindrance for many. This article contains an approach, the Graphic Representational Analysis Process, that teachers can use to analyze representations and focus future instruction. (Contains 7 figures.)

The purpose of this study was to determine (1) strategies students use when solving composition problems and the difficulties they encounter; (2) conceptions and/or misconceptions students have with respect to composition of functions; and (3) the effect of using dynamic visualization during instruction on students' understanding of composition of…

We describe how 1 Algebra I teacher and her 8th-grade students used meta-representational knowledge when generating and evaluating equations to solve word problems. Analyzing data from a sequence of 4 lessons, we found that the teacher and her students used criteria for evaluating equations, in addition to other types of knowledge (e.g., different…

From preliminary analysis of teacher-nominated examples of successful technology-supported practice in secondary-school mathematics, the use of graphing software to teach about algebraic forms was identified as being an important archetype. Employing evidence from lesson observation and teacher interview, such practice was investigated in greater…

Will reporting subscores provide any additional information than the total score? Is there a method that can be used to provide more trustworthy subscores than observed subscores? These 2 questions are addressed in this study. To answer the 2nd question, 2 subscore estimation methods (i.e., subscore estimated from the observed total score or…

Standard distributions are ubiquitous but not unique. With suitable scaling, the graph of a standard distribution serves as the graph for every distribution in the family. The standard exponential can easily be taught in elementary statistics courses.

Creating single-subject (SS) graphs is challenging for many researchers and practitioners because it is a complex task with many steps. Although several authors have introduced guidelines for creating SS graphs, many users continue to experience frustration. The purpose of this article is to minimize these frustrations by providing a field-tested…

On a routine basis, educators collect data on their students' academic and social performance to make informed decisions regarding curricular and social instruction. The authors conducted a case study for a student with emotional and behavioral disorders. The student's teacher provided oral and visual feedback during reading instruction. Data…

As part of the "Car Lab Project," students constructed rubber band cars, raced them, and worked through a number of automotive activities. The students engaged in this project certainly had fun, but they also used high-tech gear such as motion sensors and graphing calculators to gather data on the distance and time cars traveled and to generate…

In November 1996, the voters of Montgomery County (Maryland) approved by referendum an amendment to the County Charter that changed the County Council's review and approval cycle of the six-year Capital Improvements Program (CIP) from an annual to biennial cycle. The referendum specified that in odd-numbered fiscal years (on years) the County…

The State Higher Education Finance (SHEF) report is produced annually by the State Higher Education Executive Officers (SHEEO) to broaden understanding of the context and consequences of multiple decisions made every year in each of these areas. No single report can provide definitive answers to such broad and fundamental questions of public…

This paper reviews graphical and nongraphical procedures for evaluating multivariate normality by guiding the reader through univariate and bivariate procedures that are necessary, but insufficient, indications of a multivariate normal distribution. A data set using three dependent variables for two groups provided by D. George and P. Mallery…

Reviews Trueswell's weeding technique, introduces possible application areas, and addresses a number of popular misconceptions. (Author)