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Background: Although research on mathematics learning programs has taken off in recent years, little is known about how different person characteristics are related to practice behaviour with such programs. When implementing a mathematics learning program in the classroom, it might be important to know whether students with specific characteristics need more encouragement to make use of this learning opportunity. Objectives: Using a supply‐use model, we analysed the predictive power of students' cognitive characteristics (prior mathematics knowledge), personality traits (conscientiousness), motivational‐affective characteristics (mathematics self‐concept and mathematics anxiety), and family background characteristics (socioeconomic status and migration background) for practising with an adaptive arithmetic learning program. Methods: We used longitudinal data from 203 fifth graders from seven non‐academic‐track schools in Germany. Practice behaviour, measured by completed tasks in the learning program, was recorded weekly for every student over a period of 22 weeks. Results and Conclusions: The results of our multilevel analyses showed that mathematics anxious students practised less with the program. We did not find any relationship with the other characteristics. Takeaways: Our results suggest that mathematics anxious students need more encouragement when practising with a mathematics learning program; otherwise, they do not get the chance to benefit from the use. Lay Description: What is already known about this topic: The use of mathematics learning programmes in mathematics education has recently intensified.It is important that students practice with such learning programmes regularly over a longer period of time in order for them to achieve learning success.Students differ in their mathematics learning behaviour. What this paper adds: Little is known about how person characteristics are related to practice behaviour with mathematics learning programmes.Students may differ in their use of a mathematics learning programme, which is why cognitive characteristics, personality traits, motivational‐affective characteristics, and family background characteristics may affect students' practice behaviour. Implications for practice: Mathematics anxious students practiced less with a mathematics learning program, and need more encouragement to benefit equally from the implementation in school.Teachers should keep in mind that after the initial enthusiasm, practice with a programme may decrease over time, especially after school holidays. [ABSTRACT FROM AUTHOR]

The study presented in the paper has the following goals. The first is to review and compare teacher competence frameworks developed in Eastern (Chinese) and Western (German) contexts, exemplified for the domain of mathematics. Major similarities of the two contexts could be reconstructed in the conceptualization of teacher competence as a multidimensional construct comprising knowledge, teaching-related skills and beliefs. Distinct differences could be identified as well, with the Chinese frameworks including a wider range of teacher-competence facets and emphasizing more teaching-related competencies than the Western (German) frameworks. The second purpose is to adapt and validate a German framework of the measurement of mathematics teacher competence in a Chinese context. This adaptation and validation uses exemplarily mathematics teacher, in detail follow-up-studies of the international Teacher Education and Development Study: Learning to Teach Mathematics (TEDS-M). With the integration of a qualitative approach (e.g. elemental validity) and a quantitative approach (e.g. construct validity) to validate the framework, the results of both approaches suggest a satisfactory validity for the adaptation. Overall, the results point out that the examined teacher competence framework and its instruments can be used for comparative analyses in Germany and China. [ABSTRACT FROM AUTHOR]