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1. Exploring the Relationships Among Middle School Students’ Peer Interactions, Task Efficiency, and Learning Engagement in Game-Based Learning

   https://doi.org/10.1177/1046878120907940  

   Moon, Jewoong; Ke, Fengfeng (March 2020, Simulation & Gaming)

   Background. Middle school students’ math anxiety and low engagement have been major issues in math education. In order to reduce their anxiety and support their math learning, game-based learning (GBL) has been implemented. GBL research has underscored the role of social dynamics to facilitate a qualitative understanding of students’ knowledge. Whereas students’ peer interactions have been deemed a social dynamic, the relationships among peer interaction, task efficiency, and learning engagement were not well understood in previous empirical studies. Method. This mixed-method research implemented E-Rebuild, which is a 3D architecture game designed to promote students’ math problem-solving skills. We collected a total of 102 50-minutes gameplay sessions performed by 32 middle school students. Using video-captured and screen-recorded gameplaying sessions, we implemented behavior observations to measure students’ peer interaction efficiency, task efficiency, and learning engagement. We used association analyses, sequential analysis, and thematic analysis to explain how peer interaction promoted students’ task efficiency and learning engagement. Results. Students’ peer interactions were negatively related to task efficiency and learning engagement. There were also different gameplay patterns by students’ learning/task-relevant peer-interaction efficiency (PIE) level. Students in the low PIE group tended to progress through game tasks more efficiently than those in the high PIE group. The results of qualitative thematic analysis suggested that the students in the low PIE group showed more reflections on game-based mathematical problem solving, whereas those with high PIE experienced distractions during gameplay. Discussion. This study confirmed that students’ peer interactions without purposeful and knowledge-constructive collaborations led to their low task efficiency, as well as low learning engagement. The study finding shows further design implications: (1) providing in-game prompts to stimulate students’ math-related discussions and (2) developing collaboration contexts that legitimize students’ interpersonal knowledge exchanges with peers. 

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2. Impact of acculturation on math achievement in community college students

   Halverson, K.; Cirino, P.T.; Bick, J.; Medina, L. (February 2022, Ineternational Neuropsychological Society)

   Objective We live in an increasingly multicultural society which is reflected in the student population. In the community college (CC) setting, students from underrepresented groups are over-represented in remedial math courses and are less likely to complete the sequence. The extant literature suggests higher levels of acculturation, both cultural adoption and cultural maintenance, support academic success. Working memory (WM) is a well-known domain-general predictor of mathematical development and has been shown to relate to math achievement r = .38. Given this moderate relation, additional predictors of math achievement warrant investigation. In the present study, we investigated the potential moderational role of acculturation (cultural adoption and maintenance), on the WM-math relation in a diverse group of CC students (n = 94). Math was assessed both by a standardized measure of math computation and a measure of “everyday math” word problems including medical and financial management. We expected that higher levels of acculturation (adoption and maintenance) would decreasing WM load (via cognitive load) and aid math performance. At higher levels of acculturation, the WM-math relation was hypothesized approximate meta analytic findings, r = .38. Alternatively, at low levels of acculturation, the WM-math correlation was anticipated to be attenuated due to the added variability in culture and the negative impact low acculturation levels have on WM by increasing cognitive load. Participants and Methods A diverse sample of CC students (ages 18-25) who were enrolled in a math course were included. Participants completed an online survey covering demographic and cultural domains, then completed an in-person cognitive testing session to assess language abilities, WM, and math ability. Bivariate correlations and regression based moderation analyses were used. Post-hoc analyses were conducted to assess for three-way interactions with baseline verbal or math abilities. Results WM-math correlations averaged r = .38. Acculturation did not significantly relate to either outcome variable. Neither cultural adoption (computations: F=1.68, p =.199; word problems: F=.42, p =.521 ) nor cultural maintenance (computations: F=.83, p = .364; word problems: F=.36, p = .550) moderated the WM-math relations. Post-hoc analyses revealed significant three-way interactions between cultural adoption and math computation across different levels of vocabulary (F=4.66, p = .034) and math abilities (F= 6.16 p = .015). Conclusion The hypothesized moderational role of acculturation on the WM-math relation was not supported. Post-hoc analyses, however, revealed that the cultural adoption-math relationship varied across different levels of vocabulary and math abilities, although not in the direction anticipated. Finding suggest complex relationships between the WM, acculturation, and math such that acculturation does impact math performance when either vocabulary or math abilities are strong. At low levels of math or vocabulary, students’ WM may already be overtaxed, such that higher acculturation levels cannot benefit the student. Whereas when baseline abilities are average/high, increased cultural adoption can benefit the student by potentially decreasing cognitive load and freeing additional WM capacity which can be applied to the task. Findings could identify patterns of students at risk for math failure and inform future intervention/policy development to address their needs and support success. 

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3. Gender differences in mathematics and its cognitive and non-cognitive predictors in community college students

   Boada, C.; Cirino, P.T. (February 2023, International Neuropsychological Society)

   Objective Historically, numerous studies have supported a male advantage in math. While more recent literature has shown that the gender gap is either decreasing or non-significant, a gender difference remains for higher level math (high school and college) (Hyde et. al. 1990; Casey et. al. 1995). It is known that both cognitive and non-cognitive factors influence math performance. There is little evidence for gender differences in working memory (Miller & Bichsel, 2004), which is a key predictor for mathematics. There is, however, evidence for gender differences in the non-cognitive domain, including math anxiety, with females having higher levels (Miller & Bichsel, 2004; Goetz, et. al. 2013). This study evaluates gender differences in both standardized and everyday math performances, and the way that cognitive and non-cognitive factors impact math. The study is focused on a very understudied group with high levels of math difficulty, namely community college students. We expected to find gender differences in math, and expect these to be in part accounted for by gender differences in strong mathematical predictors, particularly non-cognitive factors. Participants and Methods Participants included 94 community college students enrolled in their first math class (60 female; 34 male). Participants were administered the Kaufman Test of Educational Achievement – 3rd edition (KTEA3): Math Computation (MC) and Math Concepts Application (MCA) subtests, as well as an original Everyday Math (EM) measure which assessed their math ability in the context of common uses for math (e.g., financial and health numeracy). Additional measures included math anxiety, self-efficacy, and confidence. Finally, measures of complex span working memory tasks were administered to assess verbal and spatial working memory. Analyses were performed using correlation and regression to examine relationships between the cognitive and non-cognitive variables and standardized and everyday math measures. Results Correlations showed that all cognitive and non-cognitive variables are significantly correlated with all three math measures (all p < .05). There were no significant gender differences for any of the math measures, nor the working memory, or non-cognitive measures. Regression showed that across all three math outcomes, math anxiety and verbal working memory are significantly predictive of math performance. Overall R2 values were significant (range 27% to 37%, all p < .001). Working memory and math anxiety were unique predictors in all three regressions (all p < .05), but other non-cognitive variables such as self-efficacy did not show unique prediction (all p > .05). Conclusions There was no evidence for gender differences on any studied variable. This stands in contrast to prior studies, although few studies have included community college students. On the other hand, both cognitive and non-cognitive factors were complimentary in the prediction of math outcomes, which is consistent with prior work. Among non-cognitive predictors, math anxiety was particularly prominent. This study clarifies prior conflicting work regarding gender differences, and highlights the role of both math anxiety and working memory as relevant for multiple math outcomes. 

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4. Non-linear relationships between math anxiety and performance in digital learning

   Egorova, A (May 2025, https://digital.wpi.edu/show/2f75rd59b)

   Mathematics anxiety is a phenomenon characterized by feelings of tension and nervousness towards math (Ashcraft, 2002). Unsurprisingly, it has been extensively documented to be negatively associated with mathematical performance (Ramirez et al., 2018). Research consistently shows that math anxiety impacts cognitive processing abilities and diminishes working memory resources, leading to poorer problem-solving skills and lower achievement in mathematical tasks (Ashcraft & Krause, 2007; Ramirez et al., 2013). It is important to consider students with different math anxiety levels and patterns when creating new math learning interventions, as math anxiety affects how students perceive and learn from mathematical interventions. Recognizing and accommodating the diverse math interventions to math anxiety can help create more effective learning environments. In this dissertation, I will present three studies that examine how math anxiety interplays with math performance and manifests in learning. 

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5. Sources of Anxiety among Engineering Students: Assessment and Mitigation

   https://doi.org/10.18260/p.25845  

   Yanik, Paul; Yan, Yanjun; Kaul, Sudhir; Ferguson, Chip (June 2016, American Society for Engineering Education)

   Anxiety stemming from the challenges faced by engineering students could be used as a predictor of academic performance. Such anxiety may lead to compromised student self-efficacy manifesting itself as reduced motivation, concentration, or reasoning capability. These symptoms often lead to a loss of confidence in engineering abilities and reduced commitment to engineering degree programs, resulting in lower retention. Various studies have been conducted to analyze the direct effects of both academic and non-academic sources of anxiety in engineering programs such as curriculum requirements, academic readiness (e.g. study skills), personality type, and attitudes toward learning as a means of improving future pedagogical strategies and mitigation of physiological aspects of anxiety. Less common are studies that investigate the efficacy of timely interventions in response to self-reported vulnerabilities and concerns of engineering students. This paper presents data from practical efforts to identify and mitigate anxiety among engineering students. A group of twenty-seven engineering and engineering technology students, who were part of a scholarship program, was asked to submit journal entries in which they reflected on their fears and anxieties related to their participation in their degree program. Prominent themes which emerged from student reflection included time management and its effects on academics and social activities, the likelihood of degree completion and success in engineering-specific coursework (e.g. senior capstone projects), and aspects of life following graduation such as handling accumulated debt and finding a job. As a cohort, the students participated in periodic vertically-integrated discussion groups with faculty mentors and their peers at multiple levels of seniority, and were introduced to university resources designed to address specific student needs. Results of a follow-on survey suggested that peer-to-peer discussions can be useful in alleviating anxiety on particular topics. It was also observed that the interactions facilitated by these group discussions are helpful in developing a sense of community and shared enthusiasm among the cohort. 

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