Statistics and probability enabled students to better understand, process, and evaluate massive amounts of quantitative data that existed and had a probabilistic sense in uncertain situations. The research article aimed to elucidate the performance and self-efficacy as predictors of students' achievement in the statistics and probability courses. The study utilized a descriptive-predictive research method and was conducted at Sto. Tomas National High School, involving a sample of 263 grade 11 senior high school students. The gathered data were analyzed using descriptive (...) measures and multiple regression analysis. The study's results revealed that the performance in General Mathematics was very satisfactory, while self-efficacy was high. Moreover, the level of achievement in Statistics and Probability was very satisfactory. It was also revealed that both General Mathematics performance and self-efficacy had a positive and significant relationship with Statistics and Probability achievement. Through regression analysis, it was discovered that General Mathematics performance was the strongest predictor that influenced achievement in Statistics and Probability. The study identified a significant predictive model for Statistics and Probability achievement. These findings could provide valuable guidance to teachers in enhancing the achievement of senior high school students in Statistics and Probability. (shrink)

Private schools are working tirelessly to provide a quality education without support from the government. This article aims to evaluate the internal and external job stress of high school teachers in private schools in Leyte, Philippines, and determine its governing factors. The study involved a complete enumeration process in selecting the participants and gathering primary data. In analyzing and extracting relevant information from the data, standard descriptive metrics, correlation analysis, and Chi-square test for independence were employed with the aid of (...) statistical software. The findings of the study depicted that private teachers are both internally and externally moderately stressful in their jobs. The Chi-square test revealed that employment status and years in service are associated with the private teachers’ internal job stress and it is significant at a 10% level. In addition, it is depicted that gender, monthly salary, and years in service are significantly dependent on the teachers’ external job stress at a 10% level. Conclusively, the school heads and management of private schools must lessen the work assignments to avoid exhaustion and increase benefits to improve the well-being of teachers. Moreover, it is suggested that teachers in private schools must be provided with training and seminars, incentives, supplies for teaching, and other benefits that improve their productivity and become globally competitive educators. (shrink)

The pandemic disrupted educational systems globally, prompting the need for alternative learning modalities like online, modular, and blended learning. The SLCP, particularly within the context of a school in Region 8, integrates these modalities to address essential learning competencies. This research paper aimed to evaluate the school Learning Continuity Plan (LCP) through its School Continuity Learning Plan Program using (CIPP) model of evaluation. Employing a qualitative design, data were gathered through purposive interviews with 1 non-teaching personnel, 1 department head, and (...) 3 teachers and an analysis of the approved LCP road-map. Findings revealed comprehensive alignment with the evaluation model domains, though certain areas required revisiting for improvement. The study advocated for the administration's holistic consideration, especially recognizing teachers as front line contributors to the LCP. Their pivotal role in the design and planning phases was emphasized for the effective mechanization of the school LCP. Hence, it was concluded that educational administrators should prioritize collaboration with teachers and consider their perspectives to enhance the overall quality and functionality of the LCP. Moreover, the study recommended organizational consideration, valued teachers in school LCP, prioritized health, integrated modalities, and emphasized quality learning with metrics in LCP. (shrink)

This article aims to elucidate the level of interaction among the different players in the abaca business enterprise in Region VIII, Philippines. The study used a survey method that gathered primary data from farmers, Local Government Units (LGUs), traders, innovators from universities, processors, and nongovernment organizations. Appropriate sampling methods were employed in determining the sample sizes of different players, and the research instrument used to determine the interaction process is a developed questionnaire that involved a Likert scale. The data were (...) analyzed using statistical measures such as count and average mean and presented in tabular form and network analysis. The results showed that abaca farmers have minimal to no interaction with the other key players except with the local traders. With that, the main problem for abaca farmers is the lack of innovative information to improve their production. Local traders interact with farmers moderately but have weak interaction with the Philippine Fiber Industry Development Authority (PhilFIDA) in terms of provision for research, education, and support services, among others. LGUs moderately interact with farmers but have no interaction at all with other Abaca key players. Moreover, PhilFIDA staff only have a moderate interaction with abaca farmers, and local traders rarely interact with PhilFIDA staff. Likewise, PhilFIDA’s interaction with State Universities and Colleges (SUCs) is weak and SUCs have moderate interaction with farmers and the LGUs. Conclusively, the interactions among the players of the abaca industry are generally weak which can be strengthened through institutionalizing a system where stakeholders can work together for the common good and obtain a sustainable supply chain. (shrink)

Teachers need help teaching subjects in MTB-MLE and other subjects because the language used is Cebuano. This has an impact on learning activities that could be more optimal. This study aims to analyze the difficulties faced by grade 3 students in implementing Cebuano-Visayan teaching and assess the management actions taken by school administrators and teachers. This research uses a descriptive research design. Data was collected using purposive sampling from 17 school administrators, 30 teachers, and 253 students. Data collection methods use (...) observation and questionnaires. The arithmetic mean is used as a statistical tool. The research results show that school administrators often undertake various management actions to facilitate the implementation of Cebuano-Visayan. Speaking and grammar skills were moderately complex, while reading, comprehension, and vocabulary skills were identified as the most challenging for Grade 3 students. This research revealed that effective and adequate management strategies contribute to the learning difficulties encountered in Cebuano teaching Visayan. Despite efforts by school officials and teachers to address this situation, it continues and even worsens. Therefore, school leaders are advised to re-evaluate their school curricula and thoroughly assess the inclusion of the Cebuano-Visayan language in the lower elementary grades (Grades 1-3) to identify actual problems and provide appropriate interventions and practical solutions. (shrink)

We investigate the algebraic structures of square grid graphs and obtain isomorphism theorems.

Teaching experience is the key to becoming effective in imparting knowledge to students. This study aims to develop regression models to determine the various factors of teaching experiences among high school educators. A cross-section of teachers in a Vocational School in Hilongos, Leyte, Philippines was considered as participants in this study. Some descriptive measures and ordinary least square (OLS) regression were employed to describe and make inferences in the survey data, respectively. Results revealed that teachers are" very satisfied" in their (...) teaching experiences on how routinely, challenging, enjoyable, and rewarding their job is. On the other hand, they are" satisfied" with how creative and logical they are in their teaching career. In addition, it is revealed that there are factors that significantly influence the teachers' experiences such as age, gender, civil status, educational attainment, income, room facilities, school compound, leisure, social relationships, and health. Hence, good compensation, support from the government, a conducive school environment, and health benefits for the teachers' hard work and dedication to their job will result in positive teaching experiences. Furthermore, relaxation and health activities, vacation, and good vibes from other teachers result to feel comfortable and confident in teaching. (shrink)

Many teachers experience decreased motivation and dissatisfaction due to a lack of support from school leaders, which ultimately impacts the quality of teaching and learning. This study analyzes the relationship between teachers' motivation and satisfaction with school leadership using correlational and regression approaches. This study used a quantitative descriptive-correlational research design. Sixty-one primary school teachers participated in this study as respondents, who were selected through simple random sampling. Data were collected using a validated research questionnaire consisting of motivation and satisfaction. (...) The research instrument was subjected to a reliability test with Cronbach's alpha to ensure consistency using the instrument in the form of a questionnaire sheet. Data analysis used descriptive statistics, Pearson product-moment correlation, Spearman rho correlation, chi-square test, ordinary least square (OLS) regression, and logit regression to determine the strength and direction of the relationship between variables. The regression results further showed that increased satisfaction with school leadership predicted higher levels of teacher motivation. It is concluded that improving school leadership practices can significantly contribute to increased teacher motivation, improving teaching quality and overall school performance. Therefore, it is recommended that school leaders receive targeted training to develop leadership skills that can increase teacher satisfaction and motivation. (shrink)

In the Philippines, schools are grappling with the challenge of students at risk of dropping out (SARDO), a concern heightened by evolving educational landscapes and technology. To address this, a study delved into the experiences of at-risk students, examining their attitudes towards school, subjective norms, and perceived control. Through interviews with a purposeful sample of 10 Grade 7 SARDO students, the research uncovered themes such as mixed feelings about school, with boredom and grade pressure being significant. Students also discussed the (...) influence of peers, teachers, and family, expressing a preference for a more liberating school environment. The findings suggest that interventions should be tailored to individual circumstances, considering family dynamics and socioeconomic factors. Personalized, inclusive education, better teacher training, a positive school climate, and community support are highlighted as key strategies to prevent dropouts and promote a fairer educational system. (shrink)

Learning mathematics through distance education can be challenging, with the “logical” and “rewarding” nature proving difficult to measure. This article aimed to articulate an argument explaining the “logical” and “rewarding” nature of online mathematics learning, elucidating their causal factors. Existing data from the literature that involving students at Visayas State University, Philippines, were utilized in this study. The study used statistical measures to capture descriptions from the data, and quantile regression analysis was employed to forecast the predictors of the logicality (...) and rewarding nature of learning mathematics at a distance. Results indicate that learning mathematics in the new normal is perceived as “logical” and moderately “rewarding”. The regression and correlation analyses revealed a significant positive association between the perceived “logical” nature and the rewarding experience of learning mathematics. The constructed statistical models depicted that the determinants of logicality in learning mathematics include family income, money spent on the internet, learning environment, household size, social status, and health. Moreover, causal factors such as family income, money spent on the internet, learning environment, leisure activities, social status, and health significantly determine the rewarding nature of learning mathematics online. Conclusively, institution must support college students with their online learning needs. Furthermore, mathematics instructors should create lively and exciting online discussions that boost their logical thinking. Providing problem-solving task that are intrinsically rewarding can contribute to a more fulfilling learning experience. (shrink)

Teachers are considered committed to their job if they remain in their profession and accept professional responsibilities. This article aimed to investigate the public teachers' willingness to remain in their jobs and identify some determinants that causally affect it. The study employed a developed research instrument based on an existing research paper in the literature to gather primary data from cross-sectional public teachers. This study used random sampling to select the required participants of the survey and utilized appropriate statistical methods (...) (descriptive and inferential statistics) to summarize and extract information from the data gathered. This study involved five schools as subjects. Some descriptive analysis was utilized such as frequencies and percentages to give a description of the gathered data and extract relevant information. The results showed that female public teachers are more likely to stay in the profession as opposed to male teachers. In addition, employment status and job position are significant factors that influence teachers to stay in their profession. Conclusively, public teachers who are satisfied with their current income and work assignments are more likely economically secure and willing to serve. Hence, the study suggests that the government must support public teachers regarding incentives and benefits, salary increases, and other resources that improve their well-being and productivity, and avoid employee turnover. (shrink)

This study aimed to explain the level of adoption of vegetable technologies among the youth members of 4-H clubs in some parts of Southern Leyte, Philippines, and expose its governing predictors. The data gathering employed cross-sectional and primary information among the 118 youth members selected in the form of a census. The study used a researcher-developed research instrument adapted from existing studies in the literature. The collected data were summarized using some standard descriptive metrics in statistics and an ordinal regression (...) model was constructed to determine the predictors of vegetable technology adoption. The findings revealed that there are only a few youth members are implementing (8.47%) and adopting (4.24%) the vegetable technologies even if they have positively perceived the 4-H coordinator. The regression model revealed that youth members are more like to implement the vegetable technology if they have a higher income (p-value<0.1), they have no financial debt (p-value<0.01) and they learned from an effective 4-H coordinator (p-value<0.1). Furthermore, the ordered regression model revealed that youth members are going to implement (p-value<0.01) and adopt (p-value<0.01) the technology if it is not complex to follow. Conclusively, the local government must support the youth members regarding the financial aspect, and by providing expert agricultural extension agents to guide them in implementing and adopting the vegetable technologies. (shrink)

The COVID-19 pandemic health protocols have adversely impacted the economic profit and business operations of micro, small, and medium enterprises (MSMEs). This study aimed to evaluate the business strategies employed by MSMEs as they are facing the public health crisis in Bato, Leyte, Philippines. A random sample of 200 MSMEs were surveyed using a structured questionnaire. Some descriptive statistics and Chi-square test for independence were used to summarize and determine the relationship among variables, respectively. Results showed that dominantly more of (...) the MSMEs are operated by owner-managers during the pandemic. On average, most (97.5%) of the enterprise operating are micro and operates for about 3 years. About 63.5% of the MSMEs during the pandemic has adopted a new strategies to cope with COVID-19’s negative impact and most of them are micro in nature. The major business strategies adopted to survive the adverse impact of the pandemic are as follows: following health protocols (50%), finding suppliers in nearby towns (33.8%), seeking alternative sources (26%), increasing prices of items sold (24.5%), and local outsourcing (22.5%), among others. It is concluded that age is a significant factor in implementing business strategies (p-value<0.019). This implies that owner-managers with higher age (average is 40 years old) are more likely to adopt business strategies. Moreover, as they are experiencing vulnerability to the pandemic such as economic profits being significantly reduced, then they are more likely to implement strategies (p-value<0.001). Short and long term plans are considered in order to survive and sustain its business operations. Hence, the study recommends that the government should help and enhance the capability of enterprises in managing risk as well as ensuring MSME’s continuity amidst the pandemic. (shrink)

Studying statistics during distance education is challenging due to limitations and communication problems. This has an impact on learning activities that could be more optimal. This research aims to analyze students' SQ3R level in learning statistics and determine its significant predictors. This type of research is quantitative research. The research design of this study is complex correlational research. The data collection method uses a questionnaire. Data analysis techniques use descriptive and inferential statistics. Secondary data from existing research studies were used (...) and summarized using standard statistical metrics. In addition, ordinal regression analysis was used to determine the predictors of students' SQ3R level in statistics learning and was tested at a standard significance level. Findings reveal that students usually use the SQ3R method to learn statistics during online learning. The statistical model illustrates that students' ability to read and review statistics is shaped by the learning environment, teaching attitudes, physical and emotional health, and free time activities. The study suggests that to improve students' learning of statistics in distance education, educational institutions and professors should create a conducive learning environment, use strategic teaching methods, and emphasize the importance of harmonious study habits due to the SQ3R method. (shrink)

Business resilience is the ability to quickly recover from difficulties and continue operating by applying innovative strategies. The article aims to document the resilience level of micro, small, and medium enterprises (MSMEs) in the Pacific towns of Southern Leyte, Philippines, and capture its causal determinants amid the health crisis using descriptive correlational research design. Using a research-made questionnaire, cross-sectional and primary data were collected from a random sample of MSMEs and were summarized using statistical measures. The significant determinants of the (...) resilience of MSMEs were determined using the Chi-square test for independence via cross-tabulation of categorical data. Results depicted that, on average, MSMEs during the pandemic are "resilient", particularly in their situational awareness, keystone vulnerabilities, and adaptive capacity as they combat the disruption of the health crisis. The Chi-square test reveals that age, civil status, business job position of the MSMEs' personnel, and the estimated monthly income of the enterprise are the highly significant factors that affect the resilience of MSMEs during the health crisis. In particular, younger age, single status, and owner of the enterprise are more active and creative in digital business technology, which increases their resilience in response to challenges brought about by the pandemic. Moreover, enterprises with lower incomes do adopt innovative business strategies that improve economic resilience and profit. Furthermore, the study suggests that enterprises must consider strategic plans and goals to enhance their capability in risk management as they will face future crises. (shrink)

This study aimed to assess the sensory attributes and general acceptability of steamed meat of broiler chickens fed with non-fermented (control) and fermented diets. The study used water, water + coco vinegar, and water + RPL8+AKE probiotic as fermenting causal agents. A total of thirty (30) breast carcass (steamed at 100oC for 10-15 minutes) samples per treatment at five grams (5g) per sample were utilized for evaluation. A group of thirty trained taste panelists composed of Food Technology students assessed the (...) sensory attributes using the quality score and Hedonic scale sheets. Descriptive statistics were used in the sensory evaluation, and analysis of variance (ANOVA), and multiple comparison test using Tukey’s honestly significant difference (HSD) test was used to compare the treatment means of the sensory attributes of the steamed meat samples in terms of skin color, flesh color, aroma, texture, taste, and general acceptability. The rating scores on skin colors (p-value=0.050), and texture (p-value=0.013) of steamed meat of broiler chickens fed with non-fermented and fermented diets were significantly different at a 5% level. Results revealed that the fermented diets have improved the broilers' skin colors (yellowish cream) and improved the texture quality of meat (moderately firm). Based on ANOVA, there is no significant difference observed in the descriptive scores in relation to flesh color (p-value=0.171), aroma (p-value=0.621), taste (p-value=0.723) and general acceptability (p-value=0.491). However, the steamed carcass of broiler-fed fermented diets (coco vinegar and probiotic) is slightly preferred based on ranks. Hence, fermented diets can modify the meat quality of broilers to meet consumers’ expectations. (shrink)

Students during the distance education were experiencing solitude and depression in their studies due to no social interaction which led to psychological suffering. In this article, college students' attitudes toward statistics learning were investigated, and its predictors by statistical modeling. Secondary data was extracted from a current study from the literature, summarized using descriptive statistics, and presented in tabular form. As for modeling the predictors of students' attitudes in learning statistics, it was done through multiple linear regression via the ordinary (...) least square (OLS) approach. The finding of statistical calculations revealed that, on average, students possess a "neutral attitude" towards learning statistics online. This suggests that students do not show active involvement and positive engagement in the classroom environment due to some challenges they have encountered during online learning. The regression model I revealed that students who are using mobile phones, fewer study hours in statistics, and intimate relationships with teachers are the significant factors of positive attitude in learning. On the other hand, regression model II showed that low internet signal and low mental health are significant determinants of positive behavior in learning statistics online. Conclusively, students who have suitable gadgets for online learning and with good vibes with their teachers have good performance in class even if they study less, however, effective. Moreover, students with less distraction on social media and with mental stress, tend to deviate their attention in studying their lessons in statistics which positively increases their learning attitude and well-being. (shrink)

This paper aims to develop an elegant formula for the series of consecutive cubes of natural numbers under alternating signs. In addition, this paper investigates the formula under odd and even number of terms and discuss some important findings.

This paper aims to construct a new formula that generates a generalized version of congruent numbers based on a generalized version of Pythagorean triples. Here, an elliptic curve equation is constructed from the derived generalized version of Pythagorean triples and congruent numbers and gives some new results.

A set D subset of V(G) is a dominating set of a graph G if for all x ϵ V(G)\D, for some y ϵ D such that xy ϵ E(G). A dominating set D subset of V(G) is called a connected dominating set of a graph G if the subgraph <D> induced by D is connected. A connected domination number of G, denoted by γ_c(G), is the minimum cardinality of a connected dominating set D. The triple repetition sequence denoted by (...) {S_n:n ϵ Z+} is a sequence of positive integers which is repeated thrice, i.e., {S_n}={1,1,1,2,2,2,3,3,3, ...}. In this paper, we construct a combinatorial explicit formula for the triple repetition sequence of connected domination numbers of a triangular grid graph. (shrink)

In this study, the learning experience and its cognitive factors of Mathematics among senior high school students of Visayas State University were investigated using a correlational research approach. A complete enumeration of 222 grade 11 and 12 senior high students in the second semester of school year 2018-2019 were used as the participants of the survey. Using a developed structured questionnaire, a primary data was employed. Results showed that the mathematics attitude of students influence their learning experience and academic performance. (...) Mathematics anxiety has a negative effect on the students learning experience especially for females. However, mathematical resilience locates itself in a positive psychology which addresses mental wellness and makes the students positively perceived that mathematics is interesting even if it is challenging. Also, results revealed that senior high school students are mostly visual learners in mathematics, which implies that students practice visualizing or pictures numbers/equations and other concepts in their mind. Furthermore, it can be gleaned that an academic performance is not just derived from study habits but to their motivation and interest in mathematics. (shrink)