This study explored an alternative assessment procedure to examine learning trajectories of matrix multiplication. It took rule-based analytical and cognitive task analysis methods specifically to break down operation rules for a given matrix multiplication. Based on the analysis results, a hierarchical Bayesian network, an assessment model,…

This paper introduces a new spreadsheet tool for adoption by high school or college-level physics teachers who use common assessments in a pre-instruction/post-instruction mode to diagnose student learning and teaching effectiveness. The spreadsheet creates a simple matrix that identifies the percentage of students who select each possible…

This article aims to illustrate a process of making connections, not between mathematics and other activities, but within mathematics itself--between diverse parts of the subject. Novel connections are still possible in previously explored mathematics when the material happens to be unfamiliar, as may be the case for a learner at any career stage.…

Purpose: The paper aims to discuss current Technical Education scenarios in India. It proposes modelling the factors affecting quality in a technical institute and then applying a suitable technique for assessment, comparison and ranking. Design/methodology/approach: The paper chose graph theoretic approach for quantification of quality-enabled…

The works of many scholars on Germanic and Slavic Languages do not really try to contrast the two biggest Indo-European language families, but analyse them seperately, as any close comparison seem to be unconvincible. In many works, we find some parts that usually would deal with loan words/borrowings/barbarisms. And, yet, we noticed that there…

The structure tensor for vector valued images is most often defined as the average of the scalar structure tensors in each band. The problem with this definition is the assumption that all bands provide the same amount of edge information giving them the same weights. As a result non-edge pixels can be reinforced and edges can be weakened…

The field of deafblind (DB) education has a long and rich history which includes a lack of qualified personnel to meet the needs of the population of learners. In addition, the literature base is small, lacking evidence for effective practices or methods of assessing and tracking growth with these learners. The ability to adequately track student…

The Woodcock-Johnson-III cognitive in the adult time period (age 20 to 90 plus) was analyzed using exploratory bifactor analysis via the Schmid-Leiman orthogonalization procedure. The results of this study suggested possible overfactoring, a different factor structure from that posited in the Technical Manual and a lack of invariance across both…

A stochastic matrix is a square matrix with nonnegative entries and row sums 1. The simplest example is a permutation matrix, whose rows permute the rows of an identity matrix. A permutation matrix and its inverse are both stochastic. We prove the converse, that is, if a matrix and its inverse are both stochastic, then it is a permutation matrix.

Compared to text, diagrams are superior in their ability to structure and summarize information and to show relations between concepts and ideas. Perceptual cues, like arrows, are expected to improve the retention of diagrams by guiding the learner towards important elements or showing a preferred reading sequence. In our experiment, we analyzed…

General cognitive diagnostic models (CDM) such as the generalized deterministic input, noisy, "and" gate (G-DINA) model are flexible in that they allow for both compensatory and noncompensatory relationships among the subskills within the same test. Most of the previous CDM applications in the literature have been add-ons to simulation…

This study aims to identify the perception levels of characteristics considered important to choose friends by adolescents from secondary education and to scale them with pair-wise comparison judgements. In this respect, this study was conducted with 100 10th grade students from a state vocational high school located in Marmara region in Turkey.…

Borrowing from marital research literature, a four-square matrix constructed from the twin dimensions of effort and comfort levels is used to describe a typology of campus and community associations. Results from a study using the Optimal College Town Assessment to measure community member perceptions on town-gown relationships are presented next,…

Schools are now situated within a dominant public policy regime that is demanding compliance and standardisation, at a time when the achievement of success for all students demands a capacity at the school level to design and deliver an approach that embeds "an ongoing process of professional learning for teachers" (Caldwell, 2014, p.…

Usually a student learns to solve a system of linear equations in two ways: "substitution" and "elimination." While the two methods will of course lead to the same answer they are considered different because the thinking process is different. In this paper the author solves a system in these two ways to demonstrate the…