A Comparison of Item-Selection Methods for Adaptive Tests with Content Constraints

In test assembly, a fundamental difference exists between algorithms that select a test sequentially or simultaneously. Sequential assembly allows us to optimize an objective function at the examinee's ability estimate, such as the test information function in computerized adaptive testing. But it leads to the non-trivial problem of how to realize a set of content constraints on the test—a problem more naturally solved by a simultaneous item-selection method. Three main item-selection methods in adaptive testing offer solutions to this dilemma. The spiraling method moves item selection across categories of items in the pool proportionally to the numbers needed from them. Item selection by the weighted-deviations method (WDM) and the shadow test approach (STA) is based on projections of the future consequences of selecting an item. These two methods differ in that the former calculates a projection of a weighted sum of the attributes of the eventual test and the latter a projection of the test itself. The pros and cons of these methods are analyzed. An empirical comparison between the WDM and STA was conducted for an adaptive version of the Law School Admission Test (LSAT), which showed equally good item-exposure rates but violations of some of the constraints and larger bias and inaccuracy of the ability estimator for the WDM.     

Modeling Growth in Electronic Learning Environments Using a Longitudinal Random Item Response Model

In educational environments, monitoring persons' progress over time may help teachers to evaluate the effectiveness of their teaching procedures. Electronic learning environments are increasingly being used as part of formal education and resulting datasets can be used to understand and to improve the environment. This study presents longitudinal models based on the item response theory (IRT) for measuring persons' ability within and between study sessions in data from web-based learning environments. Two empirical examples are used to illustrate the presented models. Results show that by incorporating time spent within- and between-study sessions into an IRT model; one is able to track changes in ability of a population of persons or for groups of persons at any time of the learning process.     

Estimation of a Nonlinear Intervention Phase Trajectory for Multiple-Baseline Design Data

A multilevel logistic model for estimating a nonlinear trajectory in a multiple-baseline design is introduced. The model is applied to data from a real multiple-baseline design study to demonstrate interpretation of relevant parameters. A simple change-in-levels (ΔLevels) model and a model involving a quadratic function (Quadratic) for the nonlinear intervention phase data were also estimated. In addition, a simulation study was conducted to assess Markov chain Monte Carlo estimation of the logistic model and compare its trajectory recovery with use of the ΔLevels and Quadratic models. While most of the logistic model's parameter values were recovered well, trajectory recovery was very reasonable using the simpler Quadratic model. Results are discussed along with recommendations for practitioners and directions for future research.     

The future is present in the past: A meta-analysis on the longitudinal associations of parent–adolescent relationships with peer and romantic relationships

Positive peer and romantic relationships are crucial for adolescents' positive adjustment and relationships with parents lay the foundation for these relationships. This longitudinal meta-analysis examined how parent–adolescent relationships continue into later peer and romantic relationships. Included longitudinal studies (k = 54 involving peer relationships, k = 38 involving romantic relationships) contained demographically diverse samples from predominantly Western cultural contexts. Multilevel meta-regressions indicated that supportive and negative parent–adolescent relationships were associated with supportive and negative future peer and romantic relationships. Meta-analytic structural equation modeling (k = 54) indicated that supportive parent–adolescent relationships unidirectionally predicted supportive and negative peer relationships, while negative parent–adolescent relationships were bidirectionally associated with supportive and negative peer relationships. Maintaining mutually supportive relationships with parents may help adolescents to develop positive social relationships.     

Promoting historical contextualisation in classrooms: an observational study

The aim of this observational study is to explore how history teachers promote historical contextualisation in their lessons. Historical contextualisation is the ability to situate phenomena and individuals’ actions in the context of time, historical location, long-term developments, or specific events to give meaning to these phenomena and actions. Using the Framework for Analysing the Teaching of Historical Contextualisation (FAT-HC), five trained raters observed eight history teachers twice. To further analyse the observation scores, the FAT-HC items were divided into eight categories while distinguishing between items that demonstrate historical contextualisation and items focusing on engaging students in historical contextualisation processes. The results indicate that the teachers in the sample did not explicitly promote historical contextualisation in their lessons. No teacher obtained a mean FAT-HC score >2.00 on a four-point scale. The teachers mainly demonstrated historical contextualisation, while engaging students in historical contextualisation processes was observed far less often. The findings can be used to help teachers formulate domain-specific instruction to promote students’ ability to perform historical contextualisation.     

On Subject Variations in Achievement Motivations: A Study in Business Subjects

Student achievement motivations are crucial in learning in two ways: as a determinant and an aim of learning. In this study, we focus on two related questions with regard to achievement motivations: to what extent are they subject-specific, and to what extent are they malleable? Answers to both questions are especially important when aiming to influence motivations. Malleability of motivation is studied by designing structural equation models that explain achievement motivation out of the most stable student characteristics one can think of: gender, and personality traits. Subject matter variability is studied by estimating these models for five main subject areas in a business program. The motivation construct we use is based on the expectancy-value model and distinguishes four different facets: cognitive competence, difficulty, task-value and affect. We find evidence for strong subject-specificity and considerable non-malleability of achievement motivation; part of that last aspect is a remarkably constant over-confidence gender gap present in the data of the calibration of competency beliefs and performance in all subject areas.     

Finite element modelling and experimental study of oblique soccer ball bounce

In this study, we develop a finite element model to examine the oblique soccer ball bounce. A careful simulation of the interaction between the ball membrane and air pressure in the ball makes the model more realistic than analytical models, and helps us to conduct an accurate study on the effect of different parameters on a bouncing ball. This finite element model includes a surface-based fluid cavity to model the mechanical response between the ball carcass and the internal air of the ball. An experimental set-up was devised to study the bounce of the ball in game-relevant impact conditions. Ball speed, angle, and spin were measured before and after the bounce, as well as ball deformation and the forces during the impact. The finite element model has been validated with three different sets of data, and the results demonstrate that the finite element model reported here is a valuable tool for the study of ball bounce. After validation of the model, the effect of the friction coefficient on soccer ball bounce was studied numerically. Simulation results show that increasing the friction coefficient may result in reversal of the horizontal impact force.     

Perception and action in golf putting: skill differences reflect calibration

We assessed how golfers cope with the commonly observed systematic overshoot errors in the perception of the direction between the ball and the hole. Experiments 1 and 2, in which participants were required to rotate a pointer such that it pointed to the center of the hole, showed that errors in perceived direction (in degrees of deviation from the perfect aiming line) are destroyed when the head is constrained to move within a plane perpendicular to the green. Experiment 3 compared the errors in perceived direction and putting errors of novice and skilled players. Unlike the perceived direction, putting accuracy (in degrees of deviation from the perfect aiming line) was not affected by head position. Novices did show a rightward putting error, while skilled players did not. We argue that the skill-related differences in putting accuracy reflect a process of recalibration. Implications for aiming in golf are discussed.     

A dynamic analysis of why learners develop a preference for autonomous learners in computer-mediated communication

A large number of studies in CMC have assessed how social interaction, processes and learning outcomes are intertwined. The present research explores how the degree of self-determination of learners, that is the motivational orientation of a learner, influences the communication and interaction patterns in an online Problem Based Learning environment. Given the complexity of CMC, we expected that autonomous learners would be more willing to contribute to cognitive discourse. In time, we expected that control-oriented learners would develop a preferential attachment to contribute to discourse from autonomous learners. Data were gathered from 37 autonomous and 39 control-oriented learners who posted 1669 messages. Using a dynamic multi-method approach of content analysis of cognitive and social discourse, social network analysis, and measures of academic motivation, we find some preliminary evidence that motivational orientation influences communication and social interaction patterns amongst learners. From the beginning, most control-oriented learners develop a preference to connect to and communicate with autonomous learners, although a separate team-analysis indicates that group dynamics also influence how learners develop connections with other learners in time. Our findings further the understanding of differences found in distance learning courses about participation and drop-out.