The measurement of learning engagement is a major research theme, both in the learning analytics community and the broader area of educational research. The complexity of conceptualizing as well as operationalizing the construct of engagement generates a wide range of instruments, such as self-report surveys, log data from technology-enhanced learning systems, think-aloud, and tests. In this empirical work, we investigate the alignment of behavioural traces of engagement with self-report measures and their impact on academic performance. The unique contribution of this study is the integration of temporal, behavioural, affective, and cognitive dimensions of engagement by combining digital traces at three different learning phases with self-...