A graphical method is presented for assessing the state of identifiability of the parameters in a linear structural equation model based on the associated directed graph. We do not restrict attention to recursive models. In the recent literature, methods based on graphical models have been presented as a useful tool for assessing the state of…

In the Walking Out Graphs Lesson described here, students experience several types of representations used to describe motion, including words, sentences, equations, graphs, data tables, and actions. The most important theme of this lesson is that students have to understand the consistency among these representations and form the habit of…

There is a long-standing debate about the principles constraining the combinatorial properties of suffixes. Hay 2002 and Hay & Plag 2004 proposed a model in which suffixes can be ordered along a hierarchy of processing complexity. We show that this model generalizes to a larger set of suffixes, and we provide independent evidence supporting the…

Graphing utilities, such as the ubiquitous graphing calculator, are often used in finding the approximate real roots of polynomial equations. In this paper the author offers a simple graphing technique that allows one to find all solutions of a polynomial equation (1) of arbitrary degree; (2) with real or complex coefficients; and (3) possessing…

We present the topic of graph connectivity along with a famous theorem of Menger in the real-world setting of the national computer network infrastructure of "National LambdaRail". We include a set of exercises where students reinforce their understanding of graph connectivity by analysing the "National LambdaRail" network. Finally, we give…

In this article, our main objective is to present the use of Microsoft Software Excel 2007/2003 for teaching college and university level curriculum in science and engineering. In particular, we discuss two interesting and fascinating examples of interactive applications of Microsoft Excel targeted for undergraduate students in: 1) computational…

This tricentennial tribute commemorates Euler's major contributions to mathematical and physical sciences. A brief biographical sketch is presented with his major contributions to certain selected areas of number theory, differential and integral calculus, differential equations, solid and fluid mechanics, topology and graph theory, infinite…

This dissertation explores the use of geometric and graphical models for a variety of information search and filtering applications. These models serve to provide an intuitive understanding of the problem domains and as well as computational efficiencies to our solution approaches. We begin by considering a search and rescue scenario where both…

The "TOEFL Junior"® Standard Test is an assessment that measures the degree to which middle school-aged students learning English as a second language have attained proficiency in the academic and social English skills representative of English-medium instructional environments. The assessment measures skills in three areas: listening…

This content analysis examined illustrations (n =3,357) in the core lessons of four top-selling publishers' social studies textbooks, grades one through three. The graphical (n =556) and pictorial (n =2801) displays were coded for typology, explanation (labels or captions), referential text connection, location of referential connection, function…

This study adds momentum to the ongoing discussion clarifying the merits of visualization and analysis in mathematical thinking. Our goal was to gain understanding of three calculus students' mental processes and images used to create meaning for derivative graphs. We contrast the thinking processes of these three students as they attempted to…

Middle school teachers tend to rely heavily on texts that have become increasing more visual. There is little information available about the graphical demands of general middle grades' science texts. The purpose of this study was to quantify the type and quality of the graphical representations and how they interacted with the textual material in…

An emerging line of research demonstrates a distinction between social and natural sciences; natural sciences devote more page space in journals to data graphics than social sciences. The present survey asked how the subdiscipline of Education, Special Education, compares to other disciplines of science. Also, how do the Individuals with…

This paper reports on a design experiment conducted to explore the construction of meanings by 17 year old students, emerging from their interpretations and uses of algebraic like formalism. The students worked collaboratively in groups of two or three, using MoPiX, a constructionist computational environment with which they could create concrete…

Students in a general education science course made significant gains in scientific reasoning skills when they were taught using carefully designed hands-on activities and writing assignments. The activities required students to make use of scientific skills such as graphing, predicting outcomes under changing conditions, or designing experiments,…