Since the 20th National Congress, with the emphasis on innovation and entrepreneurship on country, innovation and entrepreneurship education has become an important part of talent training in universities. The constructivist learning concept advocates that students' learning should respect their own meaning construction, and social mutual assistance and situational construction to acquire knowledge. Based on the current issue of students' innovation and entrepreneurship, this article takes the constructivist learning perspective as a guide to explore strategies to enhance their innovation and entrepreneurship abilities, and is committed to promoting the improvement of their abilities.

In Industry 4.0, the business model innovation plays a crucial role in enabling organizations to stay competitive and capitalize on the opportunities presented by digital transformation. Industry 4.0 is driven by digitalization and characterized by integrating various emerging technologies. These technologies can potentially change traditional business models and create new value propositions for customers. This paper aims to analyze and review the research papers through a bibliometric approach scientifically. The data were extracted from reputable Clarivate Web of Science (WoS) Core Collection sources from 2010 to 2023 (June). However, the publication started in 2018 for the research fields. The results show that scientific publications on research domains have increased significantly from 2020. VOSviewer, R Language, and Microsoft Excel were utilized for analysis. Bibliometric and Scientometric approaches conducted to determine and explore the publication patterns with significant keywords, topical trends, and content clustering better discussions of the publication period. The visualization of the data set related to research trends of Industry 4.0 in relation to Business Model Innovation resulted in several co-occurrence clusters namely: 1) Business Model Innovation; 2) Industry 4.0; 3) Digital transformation; and 4) Technology implementation and analysis. The study results would identify worldwide research trends related to the research domains and recommendations for future research areas.

It is well known that determining the exact values of crossing number for circulant graphs is very difficult. Even so, some important results in this field are still proved. D.J. Ma was proved that the crossing number of C(2m + 2, m) is m + 1[8]. Then such problem for C(n, 3) was further solved [7]. Pak Tung Ho and X. Lin obtained accurate values for the crossover numbers of C (3m, m) and C (3m + 1, m)[4][5]. In this paper, as a complement, we show that the edges from the principal cycle of C(9, 3) do not cross each other in an optimal drawing.

Using the Resource Advantage Theory approach, this research aims to examine the gap between entrepreneurial opportunities and marketing performance, with market-based innovation capability acting as a mediating variable. The data collection method used non-probability sampling with a purposive sampling technique. The data that was eligible to be processed were 250 respondents. Hypothesis testing was used using the AMOS application. The research results show that market-based innovation capability can improve marketing performance as a mediating variable. In addition, market penetration strength can also improve marketing performance. As a strategic variable, market-based innovation capability (MBIC) converts entrepreneurial opportunities into competitive advantages relevant to market needs. In addition, business actors become more adaptive and responsive to market dynamics, increasing competitiveness sustainably. MBIC, rooted in the Resource Advantage Theory of competition, contributes to developing market-based innovation strategies in the UMKM sector.

This research presents an innovative perspective on vocational education by merging the Instructional System Design (ISD) model with Innovation in Thailand Vocational Education and Training (InnoTVET) principles. Targeted at nursing students, the course aims to cultivate entrepreneurial skills while connecting vocational training with healthcare policy development. It aligns with global movements in Education for Sustainable Development (ESD), addressing the increasing demand for nurse entrepreneurs who can devise creative healthcare solutions within established policy frameworks. By employing mastery learning techniques alongside design thinking, the course effectively bridges theoretical concepts with practical applications. The mixed-methods study underlines relevant contribution in students’ entrepreneurial mindsets. Results from t-tests reveal the students’ ability to identify opportunities, engage in innovative thinking, and work within policy frameworks. Findings are supported by qualitative data, which demonstrate enhanced confidence, improved problem-solving capacities, and a deeper understanding of healthcare market dynamics. Although expert evaluation of student projects is scheduled for future iterations, the initial outcomes reinforce the course’s success. The course is structured into seven modules spanning 45 hours, featuring active learning components, five business-oriented assignments, and a final innovation project that integrates the curriculum’s core elements. This design ensures students develop both practical expertise and interdisciplinary insights critical to healthcare innovation. The integration of InnoTVET and ISD principles in nursing education sets a precedent for vocational education reform. This example of a successful nursepreneurship initiative provides a scalable model for enhancing vocational programs in diverse fields, fostering innovation and sustainability.

This paper discusses the construction strategy of innovation and entrepreneurship education path for college students under the background of digital economy. Firstly, this paper analyzes the characteristics of digital economy and its influence on higher education, and then puts forward four core construction paths for college students' innovation and entrepreneurship education: integrating digital skills and knowledge, promoting practice and innovative thinking, interdisciplinary integration and collaborative learning, and linking industry and academia. Each path discusses the specific implementation and expected effect in detail. The purpose of this study is to provide higher education institutions with effective methods and strategies to cultivate students with innovative spirit and entrepreneurial ability in the era of digital economy.