A Developing Approach to Studying Students’ Learning through Their Mathematical Activity

We discuss an emerging program of research on a particular aspect of mathematics learning, students’ learning through their own mathematical activity as they engage in particular mathematical tasks. Prior research in mathematics education has characterized learning trajectories of students by specifying a series of conceptual steps through which students pass in the context of particular instructional approaches or learning environments. Generally missing from the literature is research that examines the process by which students progress from one of these conceptual steps to a subsequent one. We provide a conceptualization of a program of research designed to elucidate students’ learning processes and describe an emerging methodology for this work. We present data and analysis from an initial teaching experiment that illustrates the methodology and demonstrates the learning that can be fostered using the approach, the data that can be generated, and the analyses that can be done. The approach involves the use of a carefully designed sequence of mathematical tasks intended to promote particular activity that is expected to result in a new concept. Through analysis of students’ activity in the context of the task sequence, accounts of students’ learning processes are developed. Ultimately a large set of such accounts would allow for a cross-account analysis aimed at articulating mechanisms of learning.     

Precompetitive anxiety and affective state of climbers in indoor climbing competition

The purpose of this study was to measure the precompetitive anxiety and affective states of climbers, particularly with regard to sex and types of competition. 37 men (M=25.9, SD=3.8 yr.) and 10 women (M=25.9, SD=4.2 yr.), climbers who enrolled in Indoor Sport Climbing Competition, voluntarily participated in two different types of competition-speed and difficulty indoor climbing. The Competitive State Anxiety Inventory-2 and the Positive and Negative Affect Schedule were administered to all climbers just before the competition. The Sport Competition Anxiety Test was also administered to control competitive trait anxiety. Multivariate analysis of covariance yielded a significant interaction of sex and type of competition for affective state (Hotelling T2=0.21; F2,33=3.43, p<.05). Follow-up univariate analysis indicated that the mean Negative Affect score of women climbers before the difficulty competition was higher than mean Negative Affect scores of men before both speed and difficulty competitions and also the mean for women climbers before the speed competition (F1,34 = 6.15, p <.05). The results partially supported the hypothesis of differences in negative affect by sex and types of competition.     

The underlying dimensions of DSM-5 posttraumatic stress disorder (PTSD) and their relationships with mental and somatoform dissociation,depression and anxiety among jail inmates

ABSTRACT

In this study we examined the DSM-5 factor structure of scores on the Turkish version of the posttraumatic stress disorder (PTSD) Checklist for DSM–5 (PCL-5) and predictors of PTSD caseness in a sample of male prisoners. The 7-factor hybrid model was the optimal model relative to the alternatives. Consistent with the PTSD literature in prisoners, the majority of respondents had past traumatic experiences (96.7%), a probable PTSD diagnosis (68.4%), pathological dissociation (46.8%) and somatoform dissociation (52.3%). Probable PTSD caseness was significantly associated with dissociation and depression, as well as higher levels of education and being married. Re-experiencing was strongly associated with mental and somatic dissociation; whereas dysphoric arousal was related to depression and anxiety.