The transition of the educational system in the Philippines vastly affects basic and higher education. A mismatch of pre-requisite Mathematics learning competencies from the basic education level occurred when the student reached higher education. This descriptive-developmental method of the study utilized the developed contextualized learning modules for the bridging course on the identified learning gaps in Calculus with Analytic Geometry for the Bachelor of Secondary Education (BSEd) major in Mathematics. Real-world concepts and situations featuring the Province of Sorsogon, Philippines were integrated into the learning modules while promoting independent learning. The content, format, presentations and organizations, accuracy, and up-to-datedness of information of the learning modules passed the evaluation of 13 experts (Mathematics Professors) from the different Higher Education Institutions (HEIs) in the Bicol Region, Philippines. Also, the 18 student participants were very much satisfied with the utilization of the learning modules that bridged their learning gaps in the conic section through independent learning.

This article is focused on the development of organizational and pedagogical conditions of college students' vocational training in terms of social partnership and experimental study of their effectiveness. The leading methods in the study of this problem are the observations, conversations, monitoring, questioning, psychological testing and pedagogical experiment, allowing checking of the effectiveness of the proposed organizational and pedagogical conditions of students' vocational training in terms of social partnership. The article deals with the role of social partnership of colleges and enterprises; identifies organizational and pedagogical conditions of students' vocational training in terms of social partnership between the college and the company; justifies forms of cooperation between the educational institutions and its social partners; identifies criteria for production and pedagogical management of students' vocational training in the conditions of Social Partnership between the college and the company; proves the effectiveness of college students' vocational training in the conditions of social partnership. The paper submissions are of a definite value in the organization of social partnership in the system of secondary and higher vocational education.