The Transition from School to University in Mathematics: Which Influence Do School-Related Variables Have?

Particularly in mathematics, the transition from school to university often appears to be a substantial hurdle in the individual learning biography. Differences between the characters of school mathematics and scientific university mathematics as well as different demands related to the learning cultures in both institutions are discussed as possible reasons for this phenomenon. If these assumptions hold, the transition from school to university could not be considered as a continuous mathematical learning path because it would require a realignment of students’ learning strategies. In particular, students could no longer rely on the effective use of school-related individual resources like knowledge, interest, or self-concept. Accordingly, students would face strong challenges in mathematical learning processes at the beginning of their mathematics study at university. In this contribution, we examine these assumptions by investigating the role of individual mathematical learning prerequisites of 182 first-semester university students majoring in mathematics. In line with the assumptions, our results indicate only a marginal influence of school-related mathematical resources on the study success of the first semester. In contrast, specific precursory knowledge related to scientific mathematics and students’ abilities to develop adequate learning strategies turn out as main factors for a successful transition phase. Implications for the educational practice will be discussed.     

Climbing Bloom's taxonomy pyramid: Lessons from a graduate histology course

Bloom's taxonomy was adopted to create a subject‐specific scoring tool for histology multiple‐choice questions (MCQs). This Bloom's Taxonomy Histology Tool (BTHT) was used to analyze teacher‐ and student‐generated quiz and examination questions from a graduate level histology course. Multiple‐choice questions using histological images were generally assigned a higher BTHT level than simple text questions. The type of microscopy technique (light or electron microscopy) used for these image‐based questions did not result in any significant differences in their Bloom's taxonomy scores. The BTHT levels for teacher‐generated MCQs correlated positively with higher discrimination indices and inversely with the percent of students answering these questions correctly (difficulty index), suggesting that higher‐level Bloom's taxonomy questions differentiate well between higher‐ and lower‐performing students. When examining BTHT scores for MCQs that were written by students in a Multiple‐Choice Item Development Assignment (MCIDA) there was no significant correlation between these scores and the students' ability to answer teacher‐generated MCQs. This suggests that the ability to answer histology MCQs relies on a different skill set than the aptitude to construct higher‐level Bloom's taxonomy questions. However, students significantly improved their average BTHT scores from the midterm to the final MCIDA task, which indicates that practice, experience and feedback increased their MCQ writing proficiency. Anat Sci Educ 10: 456–464. © 2017 American Association of Anatomists.     

Nonparametric Evidence of Validity,Reliability, and Fairness for Rater‐Mediated Assessments: An Illustration Using Mokken Scale Analysis

Numerous researchers have proposed methods for evaluating the quality of rater‐mediated assessments using nonparametric methods (e.g., kappa coefficients) and parametric methods (e.g., the many‐facet Rasch model). Generally speaking, popular nonparametric methods for evaluating rating quality are not based on a particular measurement theory. On the other hand, popular parametric methods for evaluating rating quality are often based on measurement theories such as invariant measurement. However, these methods are based on assumptions and transformations that may not be appropriate for ordinal ratings. In this study, I show how researchers can use Mokken scale analysis (MSA), which is a nonparametric approach to item response theory, to evaluate rating quality within the framework of invariant measurement without the use of potentially inappropriate parametric techniques. I use an illustrative analysis of data from a rater‐mediated writing assessment to demonstrate how one can use numeric and graphical indicators from MSA to gather evidence of validity, reliability, and fairness. The results from the analyses suggest that MSA provides a useful framework within which to evaluate rater‐mediated assessments for evidence of validity, reliability, and fairness that can supplement existing popular methods for evaluating ratings.     

Will you be my friend? A multilevel network analysis of friendships of students with and without special educational needs backgrounds in inclusive classrooms

The objective of this study was to determine the relationship between having a special educational needs background (SEN) and the likelihood of having friends in inclusive classes. We assumed that a combination of individual, dyadic and contextual variables can sufficiently explain the relation between a SEN diagnosis and the likelihood of friendship. Data analysis was based on a cross-sectional sample of students (N = 1241) in second and third grade primary-school classes. To address the different levels adequately, the present study improves upon previous research in two ways: First, the sociometric data were analyzed with the p2 model, a specialized multilevel network model. Second, the study focused solely on friendships and emphasized the concept’s unique features with respect to inclusive education. Data analysis indicated that students with SEN had a decreased probability of becoming friends with their classmates compared to students without SEN. Even when individual, dyadic, and contextual variables were included into the model, the association between a SEN diagnosis and the likelihood of friendship persisted. The implications of the results are discussed with respect to their implications for inclusive teaching practice.     

The double curse of misconceptions: misconceptions impair not only text comprehension but also metacomprehension in the domain of statistics

Research shows that misconceptions are usually detrimental to text comprehension. However, whether misconceptions also impair metacomprehension accuracy, that is, the accuracy with which one self-assesses one’s text comprehension, has received far less attention. We conducted a study in which we examined students’ (N = 47) comprehension and metacomprehension accuracy (prediction accuracy and postdiction accuracy) of a statistics text as a function of their statistical misconceptions. Text comprehension and metacomprehension accuracy referred to both conceptual and procedural aspects of statistics. The results showed that students who had more misconceptions achieved poorer conceptual text comprehension and, at the same time, provided more overconfident predictions of their conceptual and procedural text comprehension than students who had fewer misconceptions. In contrast, postdiction accuracy of conceptual and procedural text comprehension was not affected by misconceptions.     

Preschoolers’ Motivation to Over-Imitate Humans and Robots

From preschool age, humans tend to imitate causally irrelevant actions—they over-imitate. This study investigated whether children over-imitate even when they know a more efficient task solution and whether they imitate irrelevant actions equally from a human compared to a robot model. Five-to-six-year-olds (N = 107) watched either a robot or human retrieve a reward from a puzzle box. First a model demonstrated an inefficient (Trial 1), then an efficient (Trial 2), then again the inefficient strategy (Trial 3). Subsequent to each demonstration, children copied whichever strategy had been demonstrated regardless of whether the model was a human or a robot. Results indicate that over-imitation can be socially motivated, and that humanoid robots and humans are equally likely to elicit this behavior.     

Specific Preschool Executive Functions Predict Unique Aspects of Mathematics Development: A 3-Year Longitudinal Study

This study assessed the extent to which executive functions (EF), according to their factor structure in 5-year-olds (N = 244), influenced early quantity–number competencies, arithmetic fluency, and mathematics school achievement throughout first and second grades. A confirmatory factor analysis resulted in updating as a first, and inhibition and shifting as a combined second factor. In the structural equation model, updating significantly affected knowledge of the number word sequence, suggesting a facilitatory effect on basic encoding processes in numerical materials that can be learnt purely by rote. Shifting and inhibition significantly influenced quantity to number word linkages, indicating that these processes promote developing a profound understanding of numbers. These results show the supportive role of specific EF for specific aspects of a numerical foundation.     

Looking at Eye Gaze Processing and Its Neural Correlates in Infancy—Implications for Social Development and Autism Spectrum Disorder

The importance of eye gaze as a means of communication is indisputable. However, there is debate about whether there is a dedicated neural module, which functions as an eye gaze detector and when infants are able to use eye gaze cues in a referential way. The application of neuroscience methodologies to developmental psychology has provided new insights into early social cognitive development. This review integrates findings on the development of eye gaze processing with research on the neural mechanisms underlying infant and adult social cognition. This research shows how a cognitive neuroscience approach can improve our understanding of social development and autism spectrum disorder.     

Exploring the Impact of Rater Effects on Person Fit in Rater-Mediated Assessments

Researchers have documented the impact of rater effects, or raters’ tendencies to give different ratings than would be expected given examinee achievement levels, in performance assessments. However, the degree to which rater effects influence person fit, or the reasonableness of test-takers’ achievement estimates given their response patterns, has not been investigated. In rater-mediated assessments, person fit reflects the reasonableness of rater judgments of individual test-takers’ achievement over components of the assessment. This study illustrates an approach to visualizing and evaluating person fit in assessments that involve rater judgment using rater-mediated person response functions (rm-PRFs). The rm-PRF approach allows analysts to consider the impact of rater effects on person fit in order to identify individual test-takers for whom the assessment results may not have a straightforward interpretation. A simulation study is used to evaluate the impact of rater effects on person fit. Results indicate that rater effects can compromise the interpretation and use of performance assessment results for individual test-takers. Recommendations are presented that call researchers and practitioners to supplement routine psychometric analyses for performance assessments (e.g., rater reliability checks) with rm-PRFs to identify students whose ratings may have compromised interpretations as a result of rater effects, person misfit, or both.     

Detecting Measurement Disturbances in Rater‐Mediated Assessments

The term measurement disturbance has been used to describe systematic conditions that affect a measurement process, resulting in a compromised interpretation of person or item estimates. Measurement disturbances have been discussed in relation to systematic response patterns associated with items and persons, such as start‐up, plodding, boredom, or fatigue. An understanding of the different types of measurement disturbances can lead to a more complete understanding of persons or items in terms of the construct being measured. Although measurement disturbances have been explored in several contexts, they have not been explicitly considered in the context of performance assessments. The purpose of this study is to illustrate the use of graphical methods to explore measurement disturbances related to raters within the context of a writing assessment. Graphical displays that illustrate the alignment between expected and empirical rater response functions are considered as they relate to indicators of rating quality based on the Rasch model. Results suggest that graphical displays can be used to identify measurement disturbances for raters related to specific ranges of student achievement that suggest potential rater bias. Further, results highlight the added diagnostic value of graphical displays for detecting measurement disturbances that are not captured using Rasch model–data fit statistics.