Does Children's Memory for Addition Facts Predict General Mathematical Ability?

1995 ◽  
Vol 81 (1) ◽  
pp. 163-167 ◽  
Author(s):  
Colette Gray ◽  
Gerry Mulhern

In this paper are described data from a study of 10-yr.-old children's memory for simple addition facts and an investigation of the relationship between estimated automaticity and general mathematical ability. 21 children were each presented 100 single-digit addition combinations and their addition times analysed. Each child's automaticity for addition facts was estimated by considering the discrepancy between response times for tie and nontie combinations. Analysis indicated a significant correlation between automaticity and mathematical ability ( r = .45, p< .01).

2016 ◽  
Vol 22 (3) ◽  
pp. 375-378 ◽  
Author(s):  
Joshua Sandry ◽  
Jessica Paxton ◽  
James F. Sumowski

AbstractObjectives: The Paced Auditory Serial Addition Test (PASAT) is used to assess cognitive status in multiple sclerosis (MS). Although the mathematical demands of the PASAT seem minor (single-digit arithmetic), cognitive psychology research links greater mathematical ability (e.g., algebra, calculus) to more rapid retrieval of single-digit math facts (e.g., 5+6=11). The present study evaluated the hypotheses that (a) mathematical ability is related to PASAT performance and (b) both the relationship between intelligence and PASAT performance as well as the relationship between education and PASAT performance are both mediated by mathematical ability. Methods: Forty-five MS patients were assessed using the Wechsler Test of Adult Reading, PASAT and Calculation Subtest of the Woodcock-Johnson-III. Regression based path analysis and bootstrapping were used to compute 95% confidence intervals and test for mediation. Results: Mathematical ability (a) was related to PASAT (β=.61; p<.001) and (b) fully mediated the relationship between Intelligence and PASAT (β=.76; 95% confidence interval (CI95)=.28, 1.45; direct effect of Intelligence, β=.42; CI95=−.39, 1.23) as well as the relationship between Education and PASAT (β=2.43, CI95=.81, 5.16, direct effect of Education, β=.83, CI95=−1.95, 3.61). Discussion: Mathematical ability represents a source of error in the clinical interpretation of cognitive decline using the PASAT. Domain-specific cognitive reserve is discussed. (JINS, 2016, 22, 375–378)


2020 ◽  
Vol 10 (14) ◽  
pp. 4761
Author(s):  
Milorad Papic ◽  
Svetlana Ekisheva ◽  
Eduardo Cotilla-Sanchez

Modern risk analysis studies of the power system increasingly rely on big datasets, either synthesized, simulated, or real utility data. Particularly in the transmission system, outage events have a strong influence on the reliability, resilience, and security of the overall energy delivery infrastructure. In this paper we analyze historical outage data for transmission system components and discuss the implications of nearby overlapping outages with respect to resilience of the power system. We carry out a risk-based assessment using North American Electric Reliability Corporation (NERC) Transmission Availability Data System (TADS) for the North American bulk power system (BPS). We found that the quantification of nearby unscheduled outage clusters would improve the response times for operators to readjust the system and provide better resilience still under the standard definition of N-1 security. Finally, we propose future steps to investigate the relationship between clusters of outages and their electrical proximity, in order to improve operator actions in the operation horizon.


10.2196/14657 ◽  
2019 ◽  
Vol 7 (9) ◽  
pp. e14657
Author(s):  
Kyungmi Chung ◽  
Jin Young Park ◽  
DaYoung Joung ◽  
Kyungun Jhung

Background Response times to depressive symptom items in a mobile-based depression screening instrument has potential as an implicit self-schema indicator for depression but has yet to be determined; the instrument was designed to readily record depressive symptoms experienced on a daily basis. In this study, the well-validated Korean version of the Center for Epidemiologic Studies Depression Scale-Revised (K-CESD-R) was adopted. Objective The purpose of this study was to investigate the relationship between depression severity (ie, explicit measure: total K-CESD-R Mobile scores) and the latent trait of interest in schematic self-referent processing of depressive symptom items (ie, implicit measure: response times to items in the K-CESD-R Mobile scale). The purpose was to investigate this relationship among undergraduate students who had never been diagnosed with, but were at risk for, major depressive disorder (MDD) or comorbid MDD with other neurological or psychiatric disorders. Methods A total of 70 participants—36 males (51%) and 34 females (49%)—aged 19-29 years (mean 22.66, SD 2.11), were asked to complete both mobile and standard K-CESD-R assessments via their own mobile phones. The mobile K-CESD-R sessions (binary scale: yes or no) were administered on a daily basis for 2 weeks. The standard K-CESD-R assessment (5-point scale) was administered on the final day of the 2-week study period; the assessment was delivered via text message, including a link to the survey, directly to participants’ mobile phones. Results A total of 5 participants were excluded from data analysis. The result of polynomial regression analysis showed that the relationship between total K-CESD-R Mobile scores and the reaction times to the depressive symptom items was better explained by a quadratic trend—F (2, 62)=21.16, P<.001, R2=.41—than by a linear trend—F (1, 63)=25.43, P<.001, R2=.29. It was further revealed that the K-CESD-R Mobile app had excellent internal consistency (Cronbach alpha=.94); at least moderate concurrent validity with other depression scales, such as the Korean version of the Quick Inventory for Depressive Symptomatology-Self Report (ρ=.38, P=.002) and the Patient Health Questionnaire-9 (ρ=.48, P<.001); a high adherence rate for all participants (65/70, 93%); and a high follow-up rate for 10 participants whose mobile or standard K-CESD-R score was 13 or greater (8/10, 80%). Conclusions As hypothesized, based on a self-schema model for depression that represented both item and person characteristics, the inverted U-shaped relationship between the explicit and implicit self-schema measures for depression showed the potential of an organizational breakdown; this also showed the potential for a subsequent return to efficient processing of schema-consistent information along a continuum, ranging from nondepression through mild depression to severe depression. Further, it is expected that the updated K-CESD-R Mobile app can play an important role in encouraging people at risk for depression to seek professional follow-up for mental health care.


2013 ◽  
Vol 3 (4) ◽  
pp. 557-563 ◽  
Author(s):  
Chrystalina A. Antoniades ◽  
Zheyu Xu ◽  
R.H.S. Carpenter ◽  
Roger A. Barker

Author(s):  
Fabian Hemmert

The work reported in this article is concerned with the relationship of the user to his mobile phone, especially with the habit of checking the mobile phone for missed events. We present two qualitative studies that have been conducted with mobile phones, symbolizing their status through life-like movements - breath and pulse. It was to be determined whether a continuous, rythmic and life-like signal would be eligible to ambiently express the phone’s state. The results of the studies were mixed, as some users were simply annoyed by the permanent actuation, while others appreciated the functionality. The response times to occured events seem to be appropriate for an ambient display. The studies raised further questions, regarding the psychological and physiological consequences of such technology.


1979 ◽  
Vol 10 (3) ◽  
pp. 195-210 ◽  
Author(s):  
Edward A. Silver

Two studies investigated the relationship between students' perceptions of mathematical problem relatedness and their performance on tests of verbal and mathematical ability. A total of 156 eighth-grade students partitioned collections of mathematical verbal problems into disjoint subsets whose problems they judged to be mathematically related. The extent to which a person sorted problems on the basis of mathematical structure was significantly related to the individual's problem-solving ability as well as other mathematical and verbal abilities. Furthermore, partial correlations analysis indicated that the relationship remained significant even when the effects of general ability variables such as IQ were controlled.


1982 ◽  
Vol 54 (3) ◽  
pp. 715-722 ◽  
Author(s):  
N. William Walker

The relationship between cognitive tempo and time estimation by young boys is investigated. Emphasis is on clarifying the physiological vs learned etiology of cognitive tempo on the assumption that a predilection to cortical excitation or inhibition can be indicated through time estimation. Significant differences between 20 impulsive and 20 reflective boys (aged 8–0 to 8–11) on estimates of reproduction time and a high correlation (−.49) between impulsive boys' response times and estimates of reproduction time were noted.


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