Joint application of socio-cultural approach on continuing professional education among mathematics teachers

The University's fundamental missions are teaching, research, and public service. Higher education promotes the advancement of knowledge and the pursuit of cooperation locally, nationally, and internationally. It develops in people a respect for the dignity and worth of the individual, a capacity for critical reasoning and a desire for learning. Therefore, expanding higher education in China through continuing education has developed high quality human resources in quantity and quality issues in universities. Especially, in the universities mission rapidly increased the extension of the boundaries of knowledge through research and scholarship. This was the result of developing ideas and the facing of issues and challenges in a knowledge based economic society that relies on information technology, innovation, knowledge creation, development of human resources, and cultivation of skills. Based on the socio-cultural notion that mediated action cannot be separated from the milieu in which it occurs, meaningful continuing professional education (CPE) among mathematics lecturers will be hypothesized in the present paper. We posit a study for continuing professional education of lecturers that prepares them for 21st century skills, competencies and identities as lecturers. The construct of Community of Practice (COP) is relevant and important for thinking about successful lecturer learning. Based on the literature, we propose design tenets for supporting and sustaining communities in the 21st century: foregrounding practice, relying on existing social networks, building on strengths, of diversity in membership, task practices that require collaboration and peer and leadership mentoring. Further, technology architectural considerations for the development of an online learning environment that supports the continual professional education of teachers is proposed. An attempt will be made in this study to investigate and to explore, effectiveness sociocultural issues on promoting continuing professional education (CPE) will be exhibited by mathematics teachers Malaysian .The quantitative method will be used in this study and will survey 45 lecturer respondents in Malaysia. A sample will be obtained randomly from universities in Malaysia whilst a questioner as a instrument will be used. Data analysis are Mean, Standard Division, Variance and ANOVA (F-test). In this study we will indicate the impact of socio-cultural approach on promoting continuing professional education (CPE) among mathematics teachers

Effect of dietary anthocyanins on biomarkers of oxidative stress and antioxidative capacity: A systematic review and meta-analysis of randomized controlled trials

In this study, the efficacy of dietary anthocyanins (ACs) on indices of oxidative stress and antioxidative capacity was evaluated through a meta-analytical approach. meta-analysis of 23 trials indicated that ACs significantly reduced the levels of malondialdehyde (MDA; −0.41, 95% CI: −0.62 to −0.21, P < 0.001), oxidized low-density lipoprotein (Ox-LDL; −0.27, 95% CI: −0.55 to 0.02, P = 0.064), and isoprostane (−0.57, 95% CI: −0.78 to −0.36, P < 0.001) while significantly increased the level of total antioxidative capacity (TAC; 0.32, 95% CI: 0.08 to 0.55, P = 0.008) and activity of superoxide dismutase (SOD; 0.29, 95% CI: 0.07 to 0.51, P = 0.010) and glutathione peroxidase (GPx; 0.59, 95% CI: 0.19 to 1.0, P = 0.004). Compared to healthy subjects, ACs were more useful for unhealthy subjects because of the significant decrease in MDA, Ox-LDL, and isoprostane levels; and significant increase in TAC level and SOD activity. The overall results indicate that dietary ACs alleviate oxidative stress and enhance antioxidative capacity in the subjects. Keywords:Anthocyanins, Antioxidant, Oxidative stress, Antioxidative capacity, Antioxidative defense, Meta-analys

Revised Variational Iteration Method for Solving Systems of Ordinary Differential Equations

A modification of the variational iteration method applied to systems of linear/non-linear ordinary differential equations, which yields a series solution with accelerated convergence, has been presented. Illustrative examples have been given

Presenting a Mathematical Programming Model for Discovering Eulerian Paths (EP) in Certain Specific Graphs

In the modern era, graph theory is considered a useful tool for quantification and simplification of various dynamic components in complex systems. By representing elements as nodes and their connections as edges, graph theory can transform anything from urban planning to computer data into a meaningful mathematical language. Nowadays, numerous practical applications have been designed and developed based on graph theory. Graph theory is a branch of discrete mathematics that aims to describe and solve problems with discrete structures using points and edges. One of the problems concerning graphs is the Eulerian path problem. This research demonstrates that this problem can also be investigated from the perspective of Operations Research (OR). In a more general sense, the Eulerian path problem is a routing problem. This paper presents a pure mathematical model to describe the relationship between the variables of the Eulerian path problem. One of the features of the proposed mathematical model is its solvability by most optimization software. Finally, several numerical examples are provided to enhance the understanding of this model, and they are solved using the proposed approach. All the analyses in this research are conducted using one of the most advanced optimization software, MATLAB. The proposed mathematical model provides a systematic and efficient approach to discover Eulerian paths in specific graphs, contributing to the advancement of graph theory and its practical applications

Effects of White Chicken Eggshell Powder on Compressive Strength, Water Solubility, and Setting Time of Calcium-Enriched Mixture

Introduction: The present study aimed to evaluate the effects of adding chicken eggshell powder (CESP) to calcium-enriched mixture (CEM) cement on its compressive strength (CS), solubility, and setting time. Materials and Methods: In this study, CESP was added at weight percentages of 3% and 5% to the powder component of the CEM cement. To measure the CS, a total of 36 samples (height, 6 mm; diameter, 4 mm) were tested in a universal testing machine. The setting time was assessed for 18 disk-shaped samples (diameter, 10 mm; height, 1 mm). Additionally, solubility test was performed on 18 samples (diameter, 8 mm; height, 1 mm) after 24 hours, 72 hours, seven days, and 14 days under dehydration conditions by calculating the weight changes; the results were then subjected to a normality test. Next, for the comparison of different test groups, parametric ANOVA test and post-hoc Tukey’s multiple comparison test were performed at a significance level of 0.05. Results: The addition of 5% CESP to the CEM cement significantly reduced its setting time and water solubility (P=0.02 and P=0.01, respectively). Moreover, it significantly increased the CS over a 21-day period (P&lt;0.001). Additionally, the addition of 3% CESP also resulted in a significant increase in CS (P&lt;0.001). While 3% CESP reduced setting time and water solubility, the difference was not statistically significant. Conclusion: The findings suggest that the addition of 5% CESP to CEM cement has the potential to improve its sealing ability, durability, and ability to withstand chewing forces in endodontic treatments. These results highlight the relevance of CESP as an additive for cement modifications and indicate its potential clinical implications

Impact of dietary anthocyanins on systemic and vascular inflammation: Systematic review and meta-analysis on randomised clinical trials

Anthocyanins are natural bioactive compounds that have several health benefits. This systematic review and meta-analysis assessed the impact of dietary anthocyanins on markers of systemic and vascular inflammation. Meta-analysis of 32 randomised controlled trials indicated that dietary anthocyanins significantly decreased levels of C-reactive protein (CRP; −0.33 mg/l, 95% CI: −0.55 to −0.11, P = 0.003), interleukin-6 (IL-6; −0.41 ρg/ml, 95% CI: −0.70 to −0.13, P = 0.004), tumor necrosis factor-alpha (TNF-α; −0.64 ρg/ml, 95% CI: −1.18 to −0.09, P = 0.023), intercellular adhesion molecule-1 (−52.4 ng/ml, 95% CI: −85.7 to −19.1, P = 0.002), and vascular adhesion molecule-1 (VCAM-1; −49.6 ng/ml, 95% CI: −72.7 to −26.5, P 300 mg/day) significantly decreased levels of CRP, IL-6, TNF-α, and VCAM-1. The results indicate that dietary anthocyanins reduce the levels of systemic and vascular inflammation in the subjects. Keywords: Anthocyanins, Inflammation, Inflammatory markers, Adiponectin, Meta-analysi

Experimental and theoretical investigations of new Schiff base compound adsorption on aluminium in 1 M HCl

The new Schiff base, 2,2\u27-((1Z,1\u27Z)-(((propane-1,3-diylbis(oxy))bis(2,1-phenyle­ne))bis­(me­tha­­nyl­­ylidene))bis(azanylylidene))diethanol, was investigated as a cor­ro­sion inhibitor of aluminium in 1 M HCl. Polarization and electrochemical impedance mea­surements were used for this purpose. Polarization curves showed that the compound is a mixed-type corrosion inhibitor. Also, the results showed an increase in inhibition efficiency as the concentration of the compound increased. The maximum corrosion inhibition effici­ency of approximately 81 % was reached at the concentration of 2 mg/L of the inhibitor. The results of the density functional theory method were consistent with the experimental results. The surface morphology of the samples was examined under atomic force microscopy

On the trees with maximum Cardinality-Redundance number

A vertex $v$ is said to be over-dominated by a set $S$ if $|N[u]\cap S|\geq 2$. The cardinality--redundance of $S$, $CR(S)$, is the number of vertices of $G$ that are over-dominated by $S$. The cardinality--redundance of $G$, $CR(G)$, is the minimum of $CR(S)$ taken over all dominating sets $S$. A dominating set $S$ with $CR(S) = CR(G)$ is called a $CR(G)$-set. In this paper, we prove an upper bound for the cardinality--redundance in trees in terms of the order and the number of leaves, and characterize all trees achieving equality for the proposed bound