With the rapid progress of information technology, more and more things can be transmitted and analyzed in the form of data through sensors. The idea of interconnection of all things is gradually becoming a reality. With its blessing, many areas of people’s life are quietly changing, such as health care and education. In particular, the concept of smart classroom makes music, geography, and other traditional subjects, which are in a weak position and glow with a new era glory. This paper takes the music wisdom education mode under the background of Internet of things as the research object, analyzes the contemporary practice of music wisdom classroom by using the methods of data analysis and vertical comparison, and uses the methods of data analysis and longitudinal comparison to analyze the contemporary practice of music wisdom classroom, the practical choices it provides in the music teaching process, and the innovative music teaching design form. The strengths that enhance students’ cultural experience in the music classroom and other areas can be elaborated upon. And its future development trend is expected. Looking forward, it will make remarkable achievements in intelligent attendance management, the connotation and extension of innovative music wisdom education in compound classroom interaction, and so on.

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Objectives The improvement of the manufacturing industry’s total factor productivity depends not only on innovation factor double circulation, but also on cross-border mobility to a large extent. Methodology This paper constructs a model that demonstrates the impact of innovation factor double circulation and cross-border flow on the manufacturing industry’s total factor productivity, and it seeks to estimate this impact by using panel data from China’s manufacturing industry taken from the period 2009–2020. Findings It finds the path dependence of innovation factors significantly increased their double circulation cost, and did not significantly improve the manufacturing industry’s total factor productivity. Conclusion It finds the path dependence of innovation factors significantly increased their double circulation cost, and did not significantly improve the manufacturing industry’s total factor productivity. Cross-border flow improves the marginal efficiency of innovation factors, realizes the spatial agglomeration of high-end innovation factors and greatly promotes the double circulation of innovation factors in a way that effectively improves the manufacturing industry’s total factor productivity. Implications These conclusions have profound policy implications: cross-border flows can promote the incremental adjustment of innovation factors; fully release the development potential and toughness of the dual circulation of innovation factors; and are essentially conducive to improving the manufacturing industry’s total factor productivity.