Theon's ladder is an ancient method for easily approximating "n"th roots of a real number "k." Previous work in this area has focused on modifying Theon's ladder to approximate roots of quadratic polynomials. We extend this work using techniques from linear algebra. We will show that a ladder associated to the quadratic…

In this paper, we present the development and validation of a new measure of attitudinal learning--the Attitudinal Learning Inventory (ALI). While specific scales are available for measuring attitudes, they largely focus on established attitudes, not the impact of instruction on those attitudes. We developed the inventory with two explicit…

A simulation study is a useful tool in examining how validly item response theory (IRT) models can be applied in various settings. Typically, a large number of replications are required to obtain the desired precision. However, many standard software packages in IRT, such as MULTILOG and BILOG, are not well suited for a simulation study requiring…

The Survey of Earned Doctorates (SED) has historically been used to report the number of new doctorates entering over 100 different academic disciplines annually, including the field of mathematics education. In this article, we examine the validity of the use of this measure for this purpose by analyzing data from 23 institutions that grant…

We examined authors' treatment of instrument validity in a stratified random sample (n = 94) of quantitative studies published in the Journal of Agricultural Education from 2007 to 2016. A majority (78.7%) of studies reported use of either a researcher-developed instrument (41.5%) or an existing instrument modified by the researchers (37.2%). In…

Relatively little is known about differences in the quality of engineering education within and across countries because of the lack of valid instruments that allow for the assessment and comparison of engineering students' skill gains. The purpose of our study is to develop and validate instruments that can be used to compare student skill gains…

Objective Structured Teaching Exercises (OSTEs) are used to evaluate feedback skills. OSTEs are simulated teaching scenarios using standardized learners and trained facilitators to deliver immediate feedback to participants. As per researchers' limited knowledge, there is no published assessment tool to assess the feedback skills using OSTE in…

Purpose: The purpose of this study is to examine the psychometric properties of the Career Adapt-Abilities Scale (CAAS-Arabic form) and investigates the relationship between Emirati students' employability skills and their career adaptability in the workplace, against the backdrop of the Fourth Industrial Revolution (IR 4.0).…

Measuring cognitive load is important in virtual learning environments (VLE). Thus, valid and reliable measures of cognitive load are important to support instructional design in VLE. Through three studies, we investigated the validity and reliability of Leppink's Cognitive Load Scale (CLS) and developed the extraneous cognitive load (EL)…

This manuscript focuses on how students make sense of proofs. Participants were students who engaged in peer-review conferences of each other's attempted proofs in a graduate-level real analysis course for mathematics teachers. Building on the concept of distance from conversational analysis, we distinguish how three types of distance (epistemic,…

The investigation of epistemological beliefs has become important in both pre-service and in-service education of teachers. Different scales have been developed to determine teachers' epistemological beliefs. The same scale yields different results in different cultures especially due to the cultural aspects of education. Therefore, testing the…

Nationally published research suggests middle and high school educators are often experts within their respective disciplines, but they may be unprepared to effectively consider literacy needs and ways to incorporate literacy within their discipline. To better understand teachers' perceived capabilities in their ability to teach and incorporate…

We report on the construction and validation of the Young Children's Math Anxiety Scale (YCMAX), a developmentally appropriate measure of math anxiety intended for kindergarten students. We administered the YCMAX to a sample of public school kindergarteners (N = 355) and conducted factor analyses to examine its structure. A two-factor solution…

Several instruments that measure the teaching, learning, and assessment quality have been developed and published. However, a psychometrically sound instrument to measure teaching, learning, and assessment quality in early childhood care and education that suitable for the Malaysian context needs to be validated. Therefore, this study aimed to…

In this article, we reviewed how intelligence tests were developed and normed, with a careful eye to underserved groups. Based on state recommendations, five group-administered and five individually-administered tests were reviewed for demographics; invariance testing; validity and reliability reporting; and gifted identification suitability. We…