The present analysis employs a path analysis framework or structural equation modeling (SEM) to clarify the intricate relationships among various technology integration TPACK and educational variables in the context of TPP implementing quality. This model quantitatively captures the influence of technology integration TPACK on indicators of educational efficacy, including instructor effectiveness, diploma graduate attitudes, educational materials, instructional leadership capacities, and their collective affect a quality implementation.
6.1. Quality criteria analysis
R square result analysis
Table 1
| R-square | R-square adjusted |
Diploma | 0.053 | 0.050 |
Material | 0.237 | 0.234 |
Dependent | 0.430 | 0.420 |
Instructor | 0.113 | 0.110 |
Leader | 0.230 | 0.227 |
The r-squared and adjusted r-squared values for the different predictors (diploma, material, dependent/ quality of implementation/, instructor, and leader) interpretation of r-squared and adjusted r-squared
The r-squared value indicates that approximately 5.3% of the variation in the dependent / quality of implementation/ explained by the diploma graduate teachers attitude. The adjusted r-squared value, which adjusts for the number of predictors in the model, is slightly lower at 5.0%. This suggests that diploma has a relatively small explanatory power for the dependent variable. Diploma may not be a strong predictor of the outcome. Other variables or factors could be contributing more significantly to the variation in the dependent variable.
The r-squared value indicates that approximately 23.7% of the variation in the quality of implementation explained by the material provision. The adjusted r-squared value is very close, at 23.4%, suggesting that material provision is a good predictor and its explanatory power not significantly diminished when accounting for the number of predictors. Material provision appears to be a meaningful predictor of the quality of TPP, contributing significantly to the explanation of its variation.
The r-squared value indicates that 11.3% of the variation in the dependent variable explained by the instructor competences. The adjusted r-squared value is slightly lower at 11.0%. This suggests that instructor competences have a modest explanatory power. Instructor competences is a moderate predictor of the TPP implementation quality. Its contribution is more significant than diploma graduate teachers attitude but less than material provision.
The r-squared value indicates that 23.0% of the variation in the dependent variable explained by the leader competencies. The adjusted r-squared value is very close, at 22.7%, which indicates that instructional leadership competences is a good predictor. Instructional leaders is also a meaningful predictor of the dependent variable, similar in explanatory power to material provision. Using these insights, one can prioritize the predictors that have higher r-squared and adjusted r-squared values for more focus in research, intervention, or decision-making processes.
Inner model list analysis
Table 2
Inner model list analysis
| VIF |
diploma graduate teacher dependent ( implementation quality) | 1.158 |
provision of material dependent ( implementation quality ) | 1.726 |
Technology integration TPACK factors diploma graduate teacher | 1.000 |
Technology integration TPACK factors material provision | 1.000 |
Technology integration TPACK factors dependent (implementation quality) | 1.434 |
Technology integration TPACK factors instructor competencies | 1.000 |
Technology integration TPACK factors leaders competencies | 1.000 |
instructor competencies dependent ( implementation quality ) | 1.645 |
leaders competencies dependent ( implementation quality) | 1.909 |
The provided data includes variance inflation factors (VIF) for various models, with different predictor variables. VIF is a measure of multi-collinearity, which indicates how much the variance of a regression coefficient inflated due to collinearity with other predictors. VIF interpretation VIF = 1 refers no correlation between the predictor and other variables. 1 < VIF < 5 refers moderate correlation but not severe enough to authorization corrective measures. VIF > 5 indicates high correlation indicating significant multi-collinearity.
Low multi-collinearity the VIF values are all below 2, indicating that multi-collinearity is not a significant issue in the models. This suggests that the predictors can used together without causing instability in the regression coefficients. Model reliability the low VIF values (close to 1) for technology integration TPACK factors across multiple predictors imply that technology integration TPACK-related factors are independent and reliable predictors. This suggests that technology integration TPACK can confidently use in regression models without multi-collinearity concerns. Focus on leader’s competencies the highest VIF value (1.909) for leader’s competencies indicates a relatively higher degree of multi-collinearity with dependent variables. While this is still within an acceptable range, it suggests that leader’s competencies may have overlapping information with other predictors. Care should take when interpreting the coefficients of leader’s competencies in regression models. Provision of material and instructor competencies the moderate VIF values for provision of material (1.726) and instructor competencies (1.645) indicate that these variables have some multi-collinearity but are still acceptable predictors. Their inclusion in regression models should not pose significant issues. The VIF analysis reveals that multi-collinearity is not a major concern in the provided models. All VIF values are well below the threshold of 5, indicating that the predictors can be used together without causing significant instability in the regression estimates. Ensure careful interpretation when this variable is included in models. Comprehensive approach continue using a diverse set of predictors (diploma graduate teacher, provision of material, and instructor competencies) as they do not exhibit problematic multi-collinearity. By understanding and addressing multi-collinearity, researchers and educators can make more decisions that are informed and build reliable statistical models.
Model fit analysis
Table 3
Model fit | Structured model | Estimated model |
SRMR | 0.072 | 0.138 |
The provided data includes several fit indices for two different models a structured model and an estimated model. The fit indices used are SRMR (Standardized Root Mean Square Residual), SRMR (Standardized Root Mean Square Residual) Structured Model (0.072). This value is below the commonly accepted threshold of 0.08, indicating a good fit.
Validity and reliability analysis
The provided data includes various metrics for assessing the construct validity and reliability of different variables: Cronbach’s alpha, Composite Reliability (rho a and rho c), and Average Variance Extracted (AVE). Threshold commonly accepted threshold for acceptable reliability is 0.70. All variables have Cronbach’s alpha values above 0.70, indicating good internal consistency and reliability. Interpretation all constructs are reliable based on Cronbach’s alpha. Composite reliability (rho a and rho c) threshold values above 0.70 are considered acceptable. All variables have rho a and rho c values well above 0.70, indicating good composite reliability. All constructs demonstrate good composite reliability. Average variance extracted (AVE) threshold is values above 0.50 considered acceptable, indicating that more than 50% of the variance of the indicators captured by the construct.
Table 4
Validity and reliability analysis
Construct validity of variables | Cronbach’s alpha | Composite reliability (rho a) | Composite reliability (rho c) | Average variance extract |
Diploma graduate teacher (intermediate) | 0.830 | 0.905 | 0.885 | 0.542 |
Material provision(intermediate) | 0.878 | 0.881 | 0.906 | 0.579 |
Technology integration TPACK | 0.837 | 0.840 | 0.891 | 0.672 |
Dependent | 0.703 | 0.703 | 0.871 | 0.771 |
Instructor competencies(intermediate) | 0.910 | 0.917 | 0.924 | 0.503 |
Instructional leadership performance | 0.923 | 0.925 | 0.933 | 0.520 |
Diploma graduate teacher (0.542), material provision (0.579), technology integration TPACK (0.672), dependent (0.771), instructor competencies (0.503), and instructional leadership performance (0.520) all have AVE values above 0.50. Therefore, all constructs have acceptable convergent validity, as they all have AVE values above 0.50.
Construct validity all constructs have good convergent validity as indicated by the AVE values being above 0.50. This means that the constructs well represented by their indicators. Reliability the high values of Cronbach’s alpha and composite reliability (rho a and rho c) indicate that the constructs are reliable and consistently measured. The constructs instructor competencies and instructional leadership performance exhibit particularly high reliability with Cronbach’s alpha values of 0.910 and 0.923, respectively.
Model trustworthiness given the good reliability and validity metrics, the constructs can be trusted for further analysis and interpretation in research models. The dependent variable, despite having the lowest Cronbach’s alpha (0.703), still meets the acceptable threshold and shows strong convergent validity with an AVE of 0.771. Focus on improvement while all constructs meet the thresholds, instructor competencies has an AVE close to the threshold (0.503). Efforts could made further improve its indicators to increase this value.
The analysis indicates that all the constructs exhibit good reliability and validity, making them suitable for use in further research. The high reliability and acceptable AVE values suggests that the constructs are well measured and accurately represent the underlying concepts.
Table 5
Discriminate validity analysis
Heterotrait-monotrait ratio (HTMT) | Diploma graduate teacher | Material provision | Technology integration TPACK | Dependent | Instructor competencies | Instructional leadership performance |
Diploma graduate teacher attitudes (intermediate) | | | | | | |
Educational Material provision(intermediate) | 0.341 | | | | | |
Technology integration TPACK independent | 0.271 | 0.566 | | | | |
Dependent /quality of TPP/ | 0.427 | 0.529 | 0.720 | | | |
Instructor competencies(intermediate) | 0.350 | 0.533 | 0.365 | 0.500 | | |
Instructional leadership performance (intermediate) | 0.274 | 0.626 | 0.538 | 0.637 | 0.627 | |
The heterotrait-monotrait (HTMT) ratio is a measure used in structural equation modeling to assess the discriminant validity of constructs. Discriminant validity ensures that different constructs are indeed distinct from each other. An HTMT value greater than 0.90 often considered problematic, suggesting that two constructs may not be distinct. However, some literature suggests a more conservative threshold of 0.85.
Diploma graduate teacher and material provision (0.341) this value is well below the threshold of 0.85, indicating good discriminant validity between these two constructs. Diploma graduate teacher and technology integration TPACK (0.271) this value is also well below the threshold, indicating good discriminant validity. Diploma graduate teacher and dependent (0.427) again, this value is below the threshold, supporting discriminant validity. Diploma graduate teacher and instructor competencies (0.350) this value suggests good discriminant validity. Diploma graduate teacher and instructional leadership performance (0.274) this value is below the threshold, indicating good discriminant validity.
Material provision and technology integration (0.566) this value is below the threshold, indicating good discriminant validity. Material provision and dependent (0.529) this value is below the threshold, indicating good discriminant validity. Material provision and instructor competencies (0.533) this value suggests good discriminant validity. Material provision and instructional leadership performance (0.626) this value is below the threshold, indicating good discriminant validity. Technology integration and dependent (0.720) this value is below the threshold, indicating good discriminant validity. Technology integration and instructor competencies (0.365) this value suggests good discriminant validity.
Technology integration and instructional leadership performance (0.538) this value is below the threshold, indicating good discriminant validity. Dependent and instructor competencies (0.500) this value suggests good discriminant validity. Dependent and instructional leadership performance (0.637) this value is below the threshold, indicating good discriminant validity. Instructor competencies and instructional leadership performance (0.627) this value is below the threshold, indicating good discriminant validity. In conclusion, your HTMT analysis indicates good discriminant validity between the constructs, suggesting that the measures used are appropriately distinct. This supports the robustness and reliability of your research findings.
Normality analysis
The provided data includes statistical measures for five variables such as diploma graduate attitude, material provision, technology integration, instructor implementation competencies, and instructional leader’s capacity.
Table 6
| Mean | Standard deviation | Excess kurtosis | skewness | Number of observation |
Diploma | 0.000 | 1.000 | -0.351 | -0.505 | 294.000 |
Material | 0.000 | 1.000 | -0.688 | 0.152 | 294.000 |
Technology integration TPACK | 0.000 | 1.000 | -0.702 | -0.072 | 294.000 |
Instructor | 0.000 | 1.000 | -0.308 | -0.064 | 294.000 |
Leader | 0.000 | 1.000 | -0.445 | -0.233 | 294.000 |
Observations about the mean of 0.000 and a standard deviation of 1.000 are smart. This does indeed point towards standardization, a common technique employed to bring different variables onto a comparable scale [28]. This is particularly useful when dealing with multivariate analysis, as it prevents variables with larger scales from dominating the analysis [19]. A skewness value near zero suggests a symmetrical distribution resembling the normal distribution. This favorable characteristic for many parametric statistical tests that often rely on the assumption of normality [23].
6.2. Major result analysis
Pathways to Effective Technology Integration analysis
The diagram appears to be a path analysis or a structural equation model representing the relationships between different variables related to technology integration TPACK and TPP implementation.
Technology integration has a significant impact on all the variables measured. The strongest influence is on material and leader, with path coefficients of 0.487 and 0.480 respectively. This suggests that improvements or changes in technology integration might strongly influence educational materials and instructional leadership factors. The analysis reveals that technology integration exerts a significant positive influence across all variables under investigation. Notably, the path coefficients for educational materials (0.487) and instructional leadership (0.480) are particularly high, indicating that enhancements in technology integration could substantially affect these critical components of the educational process. This suggests that institutional investments in technology integration resources may lead to transformative changes in how educational materials are developed and delivered, as well as how instructional leadership exercised within educational settings.
Instructor influences dependent (quality implementation) path coefficient = 0.084 The instructor has a less significant but positive influence on the dependent variable, suggesting that while the instructor's role is important, it might not be the most critical factor within this model. While the instructor’s influence on the dependent variable is present (path coefficient = 0.084), it is comparatively lower than that of the technology integration TPACK-mediated variables. This finding indicates that, although instructors play an essential role in the educational landscape, their impact in this model less pronounced than that of technology integration TPACK and instructional leadership. This lower path coefficient may suggest a need for additional support and resources for instructors to maximize their effectiveness within the educational ecosystem.
Diploma graduate teachers attitude influences dependent path coefficient = 0.180. The diploma graduate teachers attitude has a moderate positive influence on the dependent variable, indicating that the positive realization of a diploma graduate teachers attitude has a notable impact on the TPP implementation quality considered in this model. Provision of material influences implementation quality path coefficient = 0.006. The path from material to the dependent variable is very weak, suggesting that material alone might not significantly affect the outcome directly. The impact of the diploma graduate teacher on the TPP implementation quality is moderate (path coefficient = 0.180), highlighting its importance in shaping educational outcomes. Conversely, the path from educational materials to the TPP implementation quality is insignificant (path coefficient = 0.006), suggesting that the mere availability of educational materials may not do for meaningful learning outcomes such as implementation quality of teacher preparation program efficacy. This underscores the necessity of focusing on the application and integration of such materials within diverse pedagogical strategies rather than solely their provision.
Leader influences implementation quality path coefficient = 0.246. Instructional leadership has a relatively strong positive influence on the dependent variable, indicating the importance of instructional leadership in affecting the outcome. Instructional leadership emerges as a critical factor influencing the dependent variable, with a path coefficient of 0.246. This finding underscores the pivotal role that educational leaders play in fostering a conducive learning environment. Investments in instructional leadership development programs could be instrumental in enhancing educational effectiveness and outcomes, as strong instructional leadership appears to correlate positively with improved quality of TPP implementation.
Technology integration is a crucial factor in improving educational quality, according to a model. It positively influences instructors, materials, instructional leadership, and diploma graduates' attitudes. A balanced approach, including improvements in teaching quality, instructional leadership, and diploma program support, can lead to better outcomes. Strategic investments in technology integration infrastructure recommended.
Path coefficient analysis
The provided data appears to be a simplified representation of the path coefficients from a structural equation model or path analysis.
Table 7
Path coefficient analysis
| Diploma | Material | Technology integration TPACK | Dependent | instructors | Leader |
Diploma | | | | 0.180 | | |
Material | | | | 0.006 | | |
Technology integration TPACK | 0.231 | 0.487 | | 0.364 | 0.337 | 0.480 |
Dependent | | | | | | |
Instructors | | | | 0.084 | | |
Leader | | | | 0.246 | | |
Path coefficients diploma to dependent is 0.180, material to dependent is 0.006, technology integration TPACK to diploma is 0.231, technology integration TPACK to material is 0.487, technology integration TPACK to dependent is 0.364, technology integration TPACK to instructors is 0.337, technology integration TPACK to leader is 0.480, instructors to dependent is 0.084, and leader to dependent is 0.246.
Technology integration TPACK influences on diploma is moderate positive impact (0.231). Material is strong positive impact (0.487). Dependent is moderate positive impact (0.364). Instructors is moderate positive impact (0.337). Leader is strong positive impact (0.480). This implies that technology integration TPACK serves as a foundational factor influencing various aspects of the educational environment. Its strongest impacts are on material provision and leader’s efficacy, indicating that technology integration advancements significantly enhance educational materials availability and instructional leadership competences.
Diploma influences on dependent is moderate positive impact (0.180). This implies that achieving a diploma graduate teacher’s attitude positively has a notable influence on the TPP implementation quality. Material influences on TPP implementation quality is very weak positive impact (0.006). This implies that, the direct influence of materials on the TPP implementation quality is minimal; indicating that while materials are necessary; their direct impact on outcomes is limited without other supporting factors. Instructor’s influences on TPP implementation quality is weak positive influences (0.084). It implies that instructors have a positive but relatively weak direct impact on the dependent variable, suggesting that their influence might more effectively mediated through other variables like technology integration or instructional leadership. Leader influences on TPP implementation quality is moderate positive impact (0.246). Which mean that Instructional leadership has a significant positive influence on the dependent variable, highlighting the importance of strong instructional leadership in achieving better educational outcomes.
Enhancing educational results at teacher education institutes may achieved by investing in technology integration. In their [5] research, Baker & Inventado explore how technology might improve learning outcomes by enabling data-driven decision-making. Setting modern technology as a top priority together with bettering instructional leadership and diploma attitudes results in a more comprehensive strategy that produces superior outcomes. This paper by [38] demonstrates how integrating technology into teacher education may enhance teaching strategies and student learning. The effectiveness of teacher preparation programs (TPPs) depends on instructional leadership, which calls for robust leader development and ongoing professional training.
The importance of professional development and strong instructional leadership in teacher training programs emphasized in the [16] study. It is not enough only provide instructional resources; instead, effective use of technology and teaching methodologies is crucial [9].To improve educational performance overall, a holistic approach that strengthens teacher support, instructional leadership, and technological integration is essential. As [33] discusses the value of effective instructional leadership in creating a setting that encourages innovation in education.
Specific indirect effect matrix analysis
The provided data indicates specific indirect effects of technology integration TPACK on the dependent variable through different mediating factors.
Table 8
Specific indirect effect matrix analysis
| Specific indirect effects |
Technology integration factors instructor competencies dependent | 0.028 |
Technology integration factors material provision dependent | 0.003 |
Technology integration factors diploma graduate teacher dependent | 0.042 |
Technology integration factors leaders competencies dependent | 0.118 |
The analysis of indirect effects reveals a nuanced interplay between technology integration factors and the quality of program implementation, mediated through various actors and resources. While all posited relationships demonstrate a positive association, the magnitude of these indirect effects varies significantly, suggesting strategic considerations for maximizing the impact of technology integration on quality educational outcomes.
Firstly, the study reveals a relatively weak indirect effect of technology integration factors on program implementation quality through instructor competencies (0.028). While statistically significant, this finding suggests that simply providing instructors with technology integration may not be sufficient substantially enhance program implementation. This aligns with existing literature emphasizing the importance of pedagogical training alongside Technology integration TPACK adoption [36]. Institutions should prioritize professional development programs that focus not only on technical skills but also on integrating technology integration effectively into pedagogical practices.
Similarly, the indirect effect through material provision is negligible (0.003), indicating that the mere availability of technology integration enhanced materials does not guarantee improved implementation quality. This finding underscores the importance of considering how materials integrated into the curriculum and utilized by both instructors and learners. As highlighted by [7], effective technology integration TPACK requires a holistic approach that aligns technology integration TPACK tools with pedagogical goals and learner needs.
The study identifies a moderate indirect effect through diploma graduate teachers (0.042), suggesting that technology integration can positively influence program implementation by supporting the qualifications and effectiveness of educators. This finding supports the growing body of research advocating for the integration of technology integration TPACK into teacher education programs [40]. Institutions should prioritize the development, implementation of technology integration enhanced teacher education programs that equip educators with the skills, and knowledge effectively influence technology integration in their classrooms.
The analysis's last finding, which highlights the crucial role that instructional leadership plays in influencing technology integration for educational progress, is the indirect effect through leaders' abilities (0.118). This result is consistent with studies showing how transformative instructional leadership is critical to the success of technology integration projects [21]. Institutions ought to fund programs for instructional leadership development that improve school administrators' ability to create, carry out, and maintain learning environments rich in technological integration.
This study's result emphasizes the intricate relationship between program implementation quality and technology integration elements. Technology integration can have a favorable impact on several program execution issues, but the extent of these benefits depends on deliberate alignment with educational objectives and strategic investments in human resources.
Correlation matrix analysis
The information provided looks to be a correlation matrix, illustrating the relationships between variables like attitudes of diploma graduates, the availability of materials, the factor related to technology integration, the quality of implementation (dependent), the competencies of instructors, and the competencies of instructional leadership. The values of correlation coefficients vary from − 1 to 1. A score of 1 denotes an ideal, happy relationship. A complete negative connection is represented by a -1. A value of 0 denotes no association.
Table 9
Correlation matrix analysis
| Diploma | Material | Technology integration TPACK | Dependent | instructors | leader |
Diploma | 1.000 | | | | | |
Material | 0.304 | 1.000 | | | | |
Technology integration TPACK | 0.231 | 0.487 | 1.000 | | | |
Dependent | 0.353 | 0.418 | 0.555 | 1.000 | | |
Instructors | 0.319 | 0.484 | 0.337 | 0.409 | 1.000 | |
Leader | 0.243 | 0.565 | 0.480 | 0.516 | 0.578 | 1.000 |
The correlation analysis have conducted reveals a complex interplay between various factors influencing educational outcomes. The findings highlight the interconnected nature of diploma graduate teacher attitudes, material provision, Technology integration quality of implementation represented as the “Dependent”, instructor effectiveness, and instructional leadership quality. The analysis correctly identifies the pivotal role of material provision in shaping the educational environment. The moderate to strong positive correlations between material provision and other variables, notably the strong positive correlation with instructional leadership quality (0.565), suggest that investing in high quality materials can have a high effect, positively influencing Technology integration instructor effectiveness, and instructional leadership practices. This make parallel with resource-based theories, which posit that access to and effective utilization of resources, including material resources, are crucial for organizational effectiveness [12].
Furthermore, the findings underscore the crucial role of Technology integration in contemporary educational settings. The strong positive correlation between Technology integration and the dependent variable (0.555) reinforces the growing body of evidence demonstrating the positive impact of Technology integration on quality implementation [42]. However, it is important to acknowledge that Technology integration is not a solution. Effective Technology integration pivots on various factors, including pedagogical approaches, instructor competency, and institutional support [11].
The analysis interestingly highlights the centrality of instructional leadership in shaping teacher educational outcomes. The strong positive correlations between instructional leadership and other variables, particularly the strong association with instructor effectiveness (0.578) and learner outcomes (0.516), underscore the crucial role of effective instructional leadership in fostering a positive and productive learning environment. This aligns with research highlighting the impact of transformational instructional leadership on school improvement efforts [32].
Invest in high-quality materials and technologies, with comprehensive implementation plans. Implement instructional leadership development programs to influence technology integration, support instructors, and foster a positive college climate. Provide ongoing professional development opportunities for instructors; empower them to shape school improvement efforts.