Ho Chi Minh City Open University Journal of Science
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    New Research and Applications in Mathematics Education and Differential Geometry

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    The aim of the study is to investigate the preferred and actual strategy use in interpreting remainders within division problems of undergraduate preservice mathematics teachers. The qualitative case study, which comprises 23 senior students in primary mathematics education, employed a semi-structured interview protocol to explore strategies that participants applied themselves in problem solving and posing, and those they preferred to employ for instructional purposes. Strategies discussed were Zero Remainder (R0), Ignoring Remainder (R1), Rounding/Adding Remainder (R2), Sharing/Dividing Remainder (R3), and Interpreting Remainder to Find the Initial Amount (R4). Accordingly, the most frequently employed strategy during application was R3 with 43%, indicating a tendency toward contextual sharing and exact solutions by means of fractions or decimals. On the other hand, R3 and R2 were equally preferred at 30% each, wherein R2 was valued regardless of its perceived cognitive demands. A significant discrepancy was found in that 70% of participants employed different strategies in use compared to their preference. Qualitative analysis identified key reasons for this gap, including awareness of strategies, differences between instructional planning and implementation, connection with daily life, and considerations pertaining to mental effort and student habits. The study concludes that this mismatch between preference and use reflects not a deficiency but rather the strategic flexibility of the participants and their contextual awareness. This pinpoints the need of teacher education programs in developing metacognitive awareness and deeper understanding of how, when, and why to apply different remainder interpretation strategies, thus bridging the gap between conceptual knowledge and practical application.</p

    Functional Assessment of the Subjects with Unertan Syndrome: 10 Years Follow-Up Study

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    Unertan Syndrome (UTS) is rare seen a typical autosomal-recessive inheritance disease in the world. This is the first study in the literature that examined physical functioning of subjects suffering from UTS in detail. Five quadrupedal subjects and one bipedal-ataxic subject are presented in this study. Neurological status, activities of daily living, and physical functioning of the cases were assessed. Their parents’ level of influence was evaluated using the Impact on Family Scale. We examined all the cases in 2008 for the first time and in 2018 for final assessments. In the second visit in 2018, we found that all the cases had lower physical functioning and showed decreased independence in daily living activities. The quadrupedal subjects were still using quadrupedal gait pattern. We observed that their condition is getting worst as they get older. The parents reported that they influenced by their children’s situation. The results obtained from this study showed that UTS affects physical functioning and independence in daily living activities of the subjects. UTS affects parents’ lives negatively as well. Both UTS survivors and their parents should be included in an intensive rehabilitation program, including physiotherapy, ergotherapy, speech therapy, social support program, and psychotherapy to prevent health problems and to improve their quality of life

    Chemometric optimization of the CdO superhydrophobic thin film coating process: design of experiments (DOE)-based mathematical modeling for roughness and wettability prediction of cadmium-based transparent conductive oxide surfaces

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    This study developed mathematical prediction models to predict the RMS roughness value (Rq) and water contact angle (WCA) values of cadmium-based superhydrophobic transparent conductive oxide surfaces. An experimental design approach was used to optimise the process parameters in the SILAR deposition of CdO films. Validation experiments were carried out under selected random conditions to validate the developed mathematical models. The obtained mathematical models not only predicted the roughness and contact angle values with high accuracy but were also used to determine the optimum process parameters to obtain the most effective surface roughness and contact angle. The results indicated that the developed mathematical models can predict the Rq and WCA values of the synthesized transparent conductive oxide surfaces both under optimum conditions and under randomly selected conditions with relative error varying between 0.6 and 4.7%. The Rq and WCA of the most effective cadmium-based superhydrophobic transparent conductive oxide surface synthesised under optimum conditions were measured as to be 189.1 nm and 151.15 degrees, respectively, and were estimated by the developed models to be 193.3 nm and 150.28 degrees, respectively. The closeness of the experimental and predicted values obtained for both models demonstrated the reliability of the developed mathematical models

    BÖLGESEL KALKINMA VE TURİZM İLİŞKİSİ

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    Genetic Diversity and Association Mapping for Salinity Tolerance in Watermelon (Citrullus Lanatus L.)

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    AbstractSalt stress is one of the most critical abiotic constraints on global agricultural productivity, negatively impacting plant growth, development, and yield potential. Watermelon, a&nbsp;moderately salt-sensitive crop, experiences substantial reductions in key growth parameters, including root and stem length, leaf count, and biomass production under salt stress. Understanding the genetic basis of salt tolerance is crucial for developing resilient cultivars. This study investigates the physiological and molecular responses of diverse watermelon genotypes to salt stress under controlled conditions, with a&nbsp;particular focus on identifying key molecular markers linked to stress tolerance. Under salt stress (8 dS m⁻1), the average root length of watermelon genotypes declined from 61.73 ± 0.91 cm (control) to 55.85 ± 0.73 cm, indicating an 8.16% reduction in root development. Chlorophyll&nbsp;a&nbsp;and b&nbsp;levels decreased by 17.1 and 13.6%, respectively, though specific genotypes (e.g., W7, W15, and W28) exhibited an increase in these parameters, suggesting potential tolerance mechanisms. Molecular marker analysis revealed that ISSR, SSR, and SRAP technologies effectively differentiate salt-tolerant and salt-sensitive genotypes. Notably, the ISSR-DBDACA7.540 band showed a&nbsp;strong association with photosynthetically active radiation (PAR) and malondialdehyde (MDA), achieving the highest regression coefficient (42.7%). These findings emphasize the varying salt stress responses among watermelon genotypes and highlight the critical role of molecular markers in evaluating and improving stress tolerance. The identified genetic resources can facilitate the selection of salt-tolerant genotypes and their incorporation into breeding programs, contributing to the development of more resilient watermelon varieties.</div

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