The factor structure of the measure of school engagement 'Engagement Versus Disaffection with Learning: Teacher Report' was investigated in the sample of 360 Swedish 6th graders. Confirmatory factor analyses showed no support for the suggested four-factor structure including behavioural engagement, emotional engagement, behavioural disaffection and emotional disaffection. Exploratory analyses resulted instead in solutions differentiating between indicators of engagement and indicators of emotional problems. A four-factor solution including factors of positive engagement, disengagement, internalized and externalized emotional problems had the best fit. Positive engagement and disengagement factors showed good internal consistency with omega coefficients exceeding 0.95 and are deemed suitable for further use. Several challenges of measuring the complex construct of school engagement are discussed.