In this paper, we present an analytic framework for investigating expert mathematical learning as the process of building a "network of mathematical resources" by establishing relationships between different components and properties of mathematical ideas. We then use this framework to analyze the reasoning of ten mathematicians and mathematics…

The authors report on the nature of assessing functional caregiving (FC) via three studies, conducted by a university-public preschool collaboration that was designed to measure mothers' confidence to care for children with intellectual disabilities in their homes. Caregiving of children with intellectual disabilities was conceptualized in terms…

Because some defendants undergoing evaluation of their competence to stand trial may feign limitations in their ability to understand and participate in the legal process, assessment of their response style is critical. Preliminary research indicates that the Inventory of Legal Knowledge (ILK) has some potential to identify persons feigning…

This article presents a review of the "KeyMath-3 Diagnostic Assessment" (KeyMath-3 DA), a norm-referenced individually administered diagnostic test. This review focuses only on the KeyMath-3 DA Form-A starter kit, which includes a manual, two easels, and record forms. The KeyMath-3 DA is an updated mathematics diagnostic test with the content…

The pictorial proof of the sum of [superscript n][subscript k=1] k[superscript 2] = 1/6n(n+1)(2n+1) is represented in the form of an integral. The integral representations are also applicable to the sum of [superscript n][subscript k-1] k[superscript m] (m greater than or equal to 3). These representations reveal that the sum of [superscript…

Theory and research on major depression have increasingly assumed a recurrent and chronic disease model. Yet not all people who become depressed suffer recurrences, suggesting that depression is also an acute, time-limited condition. However, few if any risk indicators are available to forecast which of the initially depressed will or will not…

Experiments allow researchers to randomly vary the key manipulation, the instruments of measurement, and the sequences of the measurements and manipulations across participants. To date, however, the advantages of randomized experiments to manipulate both the aspects of interest and the aspects that threaten internal validity have been primarily…

Currently, there is no standard self-report measure of psychopathy in community-dwelling samples that parallels the most commonly used measure of psychopathy in forensic and clinical samples, the Psychopathy Checklist. A promising instrument is the Self-Report Psychopathy scale (SRP), which was derived from the original version the Psychopathy…

The author reviews "Scales for Assessing Emotional Disturbance-Second Edition" (SAED-2; Epstein & Cullinan, 2010), an assessment system primarily designed to assist in determining eligibility for special education services under the category of emotional disturbance (ED), as defined by the "Individuals with Disabilities…

Divergent thinking (DT) tests are among the most popular techniques for measuring creativity. However, the validity evidence for DT tests, as applied in educational settings, is inconsistent partly due to different scoring methods. This study explored the reliability and validity issues of various techniques for administering and scoring two DT…

Purpose: To find out what information children, parents and education staff feel would be important to know to support a child who stutters in the educational environment, in order to develop appropriate resources. Method: A Delphi study was carried out to seek the opinions of experts about the information to include. A structured six stage…

A procedure for generating quasigroups from groups is described, and the properties of these derived quasigroups are investigated. Some practical examples of the procedure and related results are presented.

Proofs that the area of a circle is nr[superscript 2] can be found in mathematical literature dating as far back as the time of the Greeks. The early proofs, e.g. Archimedes, involved dividing the circle into wedges and then fitting the wedges together in a way to approximate a rectangle. Later more sophisticated proofs relied on arguments…

Relationships between adults and parents are characterized by positive and negative qualities. Existing measures of relationship qualities and ambivalence often rely on items that are unbalanced in number of positive and negative items, emotional tone, or missing negative items completely. Three studies established validity (construct, convergent,…

This paper offers a typology of forms and uses of abduction that can be exploited to better analyze abduction in proving processes. Based on the work of Peirce and Eco, we describe different kinds of abductions that occur in students' mathematical activity and extend Toulmin's model of an argument as a methodological tool to describe students'…