The standard explanation for the meaning of inculturation is from the REDEMPTORIS MISSIO:

Incarnating the Gospel in Peoples’ Culture

52. As she carries out missionary activity among the nations, the Church encounters different cultures and becomes involved in the process of inculturation. The need for such involvement has marked the Church’s pilgrimage throughout her history, but today it is particularly urgent.

The process of the Church’s insertion into peoples’ cultures is a lengthy one. It is not a matter of purely external adaptation, for inculturation “means the intimate transformation of authentic cultural values through their integration in Christianity and the insertion of Christianity in the various human cultures.”85 The process is thus a profound and all-embracing one, which involves the Christian message and also the Church’s reflection and practice. But at the same time it is a difficult process, for it must in no way compromise the distinctiveness and integrity of the Christian faith.

Through inculturation the Church makes the Gospel incarnate in different cultures and at the same time introduces peoples, together with their cultures, into her own community.86 She transmits to them her own values, at the same time taking the good elements that already exist in them and renewing them from within.87 Through inculturation the Church, for her part, becomes a more intelligible sign of what she is, and a more effective instrument of mission.

Thanks to this action within the local churches, the universal Church herself is enriched with forms of expression and values in the various sectors of Christian life, such as evangelization, worship, theology and charitable works. She comes to know and to express better the mystery of Christ, all the while being motivated to continual renewal. During my pastoral visits to the young churches I have repeatedly dealt with these themes, which are present in the Council and the subsequent Magisterium.88

Inculturation is a slow journey which accompanies the whole of missionary life. It involves those working in the Church’s mission ad gentes, the Christian communities as they develop, and the bishops, who have the task of providing discernment and encouragement for its implementation.89

53. Missionaries, who come from other churches and countries, must immerse themselves in the cultural milieu of those to whom they are sent, moving beyond their own cultural limitations. Hence they must learn the language of the place in which they work, become familiar with the most important expressions of the local culture, and discover its values through direct experience. Only if they have this kind of awareness will they be able to bring to people the knowledge of the hidden mystery (cf. Rom 16:25-27; Eph 3:5) in a credible and fruitful way. It is not of course a matter of missionaries renouncing their own cultural identity, but of understanding, appreciating, fostering and evangelizing the culture of the environment in which they are working, and therefore of equipping themselves to communicate effectively with it, adopting a manner of living which is a sign of gospel witness and of solidarity with the people.

Developing ecclesial communities, inspired by the Gospel, will gradually be able to express their Christian experience in original ways and forms that are consonant with their own cultural traditions, provided that those traditions are in harmony with the objective requirements of the faith itself. To this end, especially in the more delicate areas of inculturation, particular churches of the same region should work in communion with each other90 and with the whole Church, convinced that only through attention both to the universal Church and to the particular churches will they be capable of translating the treasure of faith into a legitimate variety of expressions.91 Groups which have been evangelized will thus provide the elements for a “translation” of the gospel message,92 keeping in mind the positive elements acquired down the centuries from Christianity’s contact with different cultures and not forgetting the dangers of alterations which have sometimes occurred.93

54. In this regard, certain guidelines remain basic. Properly applied, inculturation must be guided by two principles: “compatibility with the gospel and communion with the universal Church.”94 Bishops, as guardians of the “deposit of faith,” will take care to ensure fidelity and, in particular, to provide discernment,95 for which a deeply balanced approach is required. In fact there is a risk of passing uncritically from a form of alienation from culture to an overestimation of culture. Since culture is a human creation and is therefore marked by sin, it too needs to be “healed, ennobled and perfected.”96

This kind of process needs to take place gradually, in such a way that it really is an expression of the community’s Christian experience. As Pope Paul VI said in Kampala: “It will require an incubation of the Christian ‘mystery’ in the genius of your people in order that its native voice, more clearly and frankly, may then be raised harmoniously in the chorus of other voices in the universal Church.”97 In effect, inculturation must involve the whole people of God, and not just a few experts, since the people reflect the authentic sensus fidei which must never be lost sight of Inculturation needs to be guided and encouraged, but not forced, lest it give rise to negative reactions among Christians. It must be an expression of the community’s life, one which must mature within the community itself, and not be exclusively the result of erudite research. The safeguarding of traditional values is the work of a mature faith.

Evangelical’s Definition of Inculturation

Statements from the Edinburgh 2010, in general representing worldwide Evangelical voices, also refers to the above definition, while including other Protestant and Evangelical Conferences’ reports. This is summarised in the section titled ‘Contextualization, inculturation and dialogue of worldviews‘ under the Transversal Topics of the Conference.

My own observation informs me that the main difference between the Roman Catholic and Protestant’s understanding of inculturation is in the belief of St. Justin Martyr’s theory of spermatic Logos and the Paschal Mystery. Spermatic Logos means that Christ’s presence is with human cultures since creation, and Paschal Mystery means that Christ’s presence is with human cultures after His resurrection through the Holy Spirit. These are the areas where most Protestants disagree with. Apart from that latest Protestant and Evangelical scholarship in general recognises the importance of inculturation.