1 Introduction

The origin and development of investment theory were introduced, emphasizing Norton's viewpoint that language learners invest in language learning to acquire symbolic and material resources, enhance cultural capital, and social status. The chapter also discusses the extension of investment models, highlighting the complexity of identity, ideology, and capital in language learning investment. The article aims to review the relationship between investment theory and second language learning, explore how social context affects individuals, and how language learners position their roles. Investment theory reveals the process by which language learners choose to learn a specific second language under the influence of historical background, life experiences, and social practices. In the era of the Internet, the experience of second language learners has become more complex and affected by multiple socio-cultural factors.

Theoretical Basis of Investment 2

Explored the theoretical basis of investment for second language learners and emphasized the complex interactive relationship between investment and identity recognition. Investment theory suggests that the identity of language learners is complex and fluid, with multiplicity and changes over time and space. The investment behavior of learners is achieved through frequent social interactions, and their identity, motivation, and social factors collectively shape their investment behavior in second language learning. The choices of learners in second language learning are closely related to their identity and investment beliefs, and the interaction between the two affects their choice and use of communicative discourse. Investment behavior is determined by an individual's identity and expectations, which collectively drive or hinder the process of language learning. However, although learners may have motivation to learn a certain language, actual investment behavior may not necessarily be achievable. In a cross-cultural context, investment in language learning reflects the dynamic process of learners' identity recognition, as they expect to integrate into the target cultural group through learning a specific language, thereby constructing an idealized future. Learners must invest a significant amount of time and energy into language learning, and coordinate their resources and needs in the process. Although on the surface, learners may choose to learn a certain language independently, this choice is still constrained by various factors such as society, culture, and economy. Therefore, the issue of power behind language learning investment is also highlighted.

Empirical research on three investments

The investment of second language learners is significantly influenced by their teacher identity, especially in the two-way immersive curriculum in the United States, where teachers play an important role in improving learners' bilingual proficiency and cross-cultural literacy. Language learners from cross-cultural backgrounds may feel lonely and helpless under the guidance of teachers, leading to resistance towards English learning. The expectations and language proficiency of teachers also directly affect students' learning motivation and investment. The investment of second language learners is fluid, complex, and multifaceted, influenced by multiple social factors and ideologies. As an internationally recognized language, the investment in learning English is related to social and material interests, but non-native English speakers face cultural and language barriers. Cross cultural second language learners pursue personal interests by investing heavily in English learning, and their success or failure is influenced by social and material benefits. Learners' investment choices reflect their personal future goals and cultural affiliation, and their social background influences their level of investment. Investment involves not only material and social capital, but also emotional factors, and learners achieve social inclusion and cross-cultural adaptation through language learning.

4. Promoting investment in second language learning in cross-cultural contexts

The importance of investment in second language learning was emphasized, and how to promote language learning investment for learners through research and projects was explored. The article points out that although immersive teaching is effective, it is not enough to provide the best learning opportunities, and language learning that integrates content is more helpful in improving effectiveness. Learners need to understand the structure and dynamics of language learning investment, and explore various factors that affect investment, including limiting and facilitating factors. Reducing classroom restrictions and enhancing learners' control and freedom over language are key strategies to promote investment. A strict classroom system may become a barrier, limiting learners' investment motivation and sense of control. Teachers should review classroom rules that may restrict learners, give more freedom, choose topics that can arouse learners' interest, enhance emotional motivation and team inclusiveness. Reduce strict rule restrictions, create favorable "fields", and stimulate learners to actively invest in language learning. An unrestricted learning environment, learners' sense of freedom, and their sense of control over the learning process interact to form a balance mechanism, effectively driving language learners to continue investing in a second language.

5 Conclusion

In depth exploration of the concept of "investment" in second language learning in cross-cultural contexts reveals the complex relationship between second language learning investment and personal identity and power. An empirical study was conducted on the relationship between teacher identity and learner investment behavior in English learning, and key factors promoting investment among second language learners were summarized. It is pointed out that in the new order of globalization, the research on the identity of second language learners is increasingly influenced by structural and agency issues in cross-cultural contexts. The investment of second language learners in a specific language largely depends on their social background. The arrival of the digital age has continuously expanded the space for language learning and intertwined it with power structures, exerting a profound impact on the understanding of language learning and learning strategies. The investment model effectively examines the microstructure of power in second language learning and reveals the underlying systemic control patterns in communicative practice. The host country should develop cross-cultural language teaching strategies based on specific needs to promote effective investment by second language learners in the target language.