The mathematical flexibility of college students: The role of cognitive and affective factors

Learning Management System Analytics on Arithmetic Fluency Performance: A Skill Development Case in K6 Education

Achieving fluency in arithmetic operations is vital if students are to develop mathematical creativity and critical thinking abilities. Nevertheless, a substantial body of literature has demonstrated that students are struggling to develop such skills, due to the absence of appropriate instructional support or motivation. A proposed solution to tackle this problem is the rapid evolution and widespread integration of educational technology into the modern school system. To be precise, the Learning Management System (LMS) has been found to be particularly useful in the instructional process, especially where matters related to personalised and self-regulated learning are concerned. In the present work, we explored the aforementioned topics in the context of a longitudinal study in which 720 primary education students (4th–6th grade), from United Arab Emirates (UAE), utilised an LMS, at least once per week, for one school year (nine months). The findings revealed that the vast majority (97% of the 6th graders, 83% of the 4th graders, and 76% of the 5th graders) demonstrated a positive improvement in their arithmetic fluency development. Moreover, the Multiple Linear Regression analysis revealed that students need to practice deliberately for approximately 68 days (a minimum of 3 min a day) before seeing any substantial improvement in their performance. The study also made an additional contribution by demonstrating how design practice compliance with gamification and Learning Analytics in LMS may lead children to be fluent in simple arithmetic operations. For educators interested in LMS-based intervention, research implications and directions are presented.

Working Memory and Its Mediating Role on the Relationship of Math Anxiety and Math Performance: A Meta-Analysis

It is well established that math anxiety has a negative relationship with math performance (MP). A few theories have provided explanations for this relationship. One of them, the Attentional Control Theory (ACT), suggests that anxiety can negatively impact the attentional control system and increase one's attention to threat-related stimuli. Within the ACT framework, the math anxiety (MA)-working memory (WM) relationship is argued to be critical for math performance. The present meta-analyses provides insights into the mechanisms of the MA-MP relation and the mediating role of WM. Through database searches with pre-determined search strings, 1,346 unique articles were identified. After excluding non-relevant studies, data from 57 studies and 150 effect sizes were used for investigating the MA-MP correlation using a random-effects model. This resulted in a mean correlation of r = -0.168. The database search of WM as a mediator for the MA-MP relation revealed 15 effects sizes leading to a descriptive rather than a generalizable statistic, with a mean indirect effect size of -0.092. Overall, the results confirm the ACT theory, WM does play a significant role in the MA-MP relationship.