# A Personalized Learning Path Recommendation Method Incorporating Multi-Algorithm
## 3 Methodology
### Related Work
#### 3.1.2 Quantitative Learning Ability  
Ability is developed and cultivated in the process of human activities and is a personalized psychological feature that plays a role in regulating and stabilizing the whole process. Learning ability is the psychological condition for learners to successfully complete learning tasks, acquire knowledge and achieve learning goals. In traditional educational activities, few researchers fully consider the impact of user learning ability differences and the combination of user information and behaviour [13]. Presently, in the field of smart education, researchers have gradually conducted relevant research on learners' learning ability. [PERSON] et al. [14] evaluated learners' learning ability from two aspects: learning motivation and cognitive ability. On the basis of the above research, this paper proposes the learning ability \(S\), which is suitable for the learning path recommendation model. The learning ability of a learner reflects the comprehensive ability of learners in all aspects. Therefore, this paper constructs the learning ability of learners from four aspects: executive ability (\(S^{1}\)), adaptive ability (\(S^{2}\)), knowledge management ability (\(S^{3}\)) and ability to analyse and solve problems (\(S^{4}\)). The learning ability \(S_{i}\) of learner \(i\) is expressed as \(S_{i}=\big{(}S^{1}+S^{2}+S^{3}+S^{4}\big{)}/4\), where \(S\) is a direct number between 0 and 1, \(S_{i}\in[0\), 0.3) is weak, \(S_{i}\in[0.3\), 0.7) is medium, and \(S_{i}\in[0.7,\ 1]\) is strong. 1. Executive Ability  
Executive ability refers to whether learners can complete the given learning task within the specified time. Its value will affect learners' mastery of a certain knowledge point, thus affecting learners' academic performance. This paper mainly quantifies executive ability and calculates the completion degree of learners' learning tasks. The specific calculation is presented as follows:  
\[S^{1}_{i}=\frac{\sum\limits_{j=1}^{n}\big{(}\frac{\sum\limits_{k=1}^{m}z_{jk} }{m}\big{)}}{n} \tag{6}\]  
where \(S^{1}_{i}\) indicates the execution ability of learner \(i\), \(z_{jk}\) indicates the completion of learning Item \(k\) corresponding to learning task \(j\), \(n\) indicates the number of tasks that learners need to complete, and \(m\) indicates the number of learning items corresponding to each learning task. Thus, \(S^{1}_{i}\) takes the average value of all learning tasks completed by learners. 2. Adaptive Ability  
In the era of intelligent education, learners can achieve better learning results only if they efficiently and quickly adapt to the learning environment. In this paper, the quantification of learners' adaptability mainly considers the aspects of learners' concentration and interaction. Concentration is quantified by the total login time and total leave time of learners on the platform. The degree of interaction mainly reflects the interaction of learners on the platform. The specific calculation is presented as follows:  
\[S_{i}^{2}=\alpha\sum\limits_{j=1}^{n}\frac{T_{j}}{\sum\limits_{k=1}^{n}t_{jk}}+(1 -\alpha)(\frac{C_{f}+C_{p}+C_{x}+C_{d}+C_{s}}{5}) \tag{7}\]  
where \(S_{i}^{2}\) indicates the learner's adaptive ability; \(T_{j}\) indicates the total login time of learner \(i\) in the \(j\)th login; \(t_{jk}\) indicates the total leave time of learner \(i\) in the \(j\)th login; \(n\) indicates the total login times; \(m\) indicates the total leave times each time; \(C_{f}\), \(C_{p}\), \(C_{x}\), \(C_{d}\), and \(C_{s}\) indicate the number of posts, comments, downloads, likes, and collections, respectively, of learners on the platform; is the weight coefficients, with a value of 0.6. 3. Knowledge Management Ability  
Knowledge management ability reflects the learners' ability to integrate, consolidate and memorize learned knowledge points to avoid the loss of knowledge points, which is reflected in the learners' upload rate of notes, the completion rate of exercise questions, and Q & A.