Content authenticity and correctness is one of the important challenges in eLearning as there can be many solutions to one specific problem in cyber space. Therefore, the authors feel it is necessary to map problems to solutions using graph partition and weighted bipartite matching. This article proposes an efficient algorithm to partition…

The semantics, or meaning, of validity is a fluid concept in educational and psychological testing. Contemporary controversies surrounding this concept appear to stem from the proper location of validity. Under one view, validity is a property of score-based inferences and entailed uses of test scores. This view is challenged by the…

At the outset of his thoughtful and thought-provoking article, Haertel (this issue) clearly identifies the issue with which he will be dealing: The disjunct, or gap, in current approaches to evaluating the merits of a given test, between the intended uses of that test and the validity of its score-based interpretations. The author thinks that…

Given a parabola in the standard form y[superscript 2] = 4ax, corresponding to three points on the parabola, such that the normals at these three points P, Q, R concur at a point M = (h, k), the equation of the circumscribing circle through the three points P, Q, and R provides a tremendous opportunity to illustrate "The Art of Algebraic…

Adult students are an important subgroup in higher education. They are returning to school in numbers at higher percentage rates than their traditional counterparts. Between 2000 and 2010, the enrollment of students under age 25 increased by 34%; however, enrollment of students 25 and over rose 42% during the same period. From 2010 to 2020, the…

Although proof has long been viewed as a cornerstone of mathematical activity, incorporating the mathematical practice of proving into classrooms is not a simple matter. In this dissertation I aim to advance research on proof by addressing this issue. In particular, I explore the role proof might play in promoting the learning of mathematics in…

Examples play a critical role in the exploration and proving of conjectures. Although proof has been studied extensively, the precise ways in which examples might facilitate successful proofs are not well documented or understood. Working within a larger set of studies that argue for the value of examples in proof-related activity, in this paper…

Confirmatory factor analysis was used to determine the factor structure of the Wechsler Intelligence Scale for Children-Fourth Edition (WISC-IV) scores of 297 children referred to a children's hospital in the Southwestern United States. Results support previous findings that indicate the WISC-IV is best represented by a direct hierarchical…

Recent documents suggest that all students, even young children, should have opportunities to engage in reasoning and proof (CCSSI 2010; NCTM 2000, 2006, 2009). One mathematical practice that is central to reasoning and proof is making conjectures (CCSSI 2010; NCTM 2000; Stylianides 2008). In the elementary grades, "formulating conjectures…

Kane's paper "Validating the Interpretations and Uses of Test Scores" is the most complete and clearest discussion yet available of the argument-based approach to validation. At its most basic level, validation as formulated by Kane is fundamentally a simply-stated two-step enterprise: (1) specify the claims inherent in a particular interpretation…

In many low- and middle-income countries, young children learn a mother tongue or indigenous language at home before entering the formal education system where they will need to understand and speak a country's official language(s). Thus, assessments of children before school age, conducted in a nation's official language, may not fully reflect a…

Purpose: To date, there is no tool for assessing early pragmatic development of Polish-speaking children. This study aimed to adapt to Polish a standardized parent report measure, the Language Use Inventory (LUI; O'Neill, 2009, in order to enable cross-cultural comparisons and to use the LUI-Polish to screen for pragmatic development in children…

The present study examined the predictive validity of a classroom observation measure, the "Classroom Strategies Assessment System" (CSAS)-Observer Form, as a predictor of student performance on statewide tests of mathematics and English language arts. The CSAS is a teacher practice assessment that measures evidence-based instructional…

This chapter addresses how child-, family-, and school-level characteristics are associated with Chinese children's academic skill development during their preschool years. Academic skills are defined in terms of young children's emergent competencies in academic domains including literacy, mathematics, and science. First, we review the relations…

At least half of states administer or are developing kindergarten entry assessments. In fall 2017 the Illinois State Board of Education began requiring teachers to report data on every child's skills at kindergarten entry using the Kindergarten Individual Development Survey. State and local stakeholders have asked for more information on the…