A Validity Framework for the Design of Comparative International Research in Mathematics Education
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In this chapter, we introduce the reader to the importance of measurement validity and the challenges involved in developing the FIRSTMATH knowledge assessments and questionnaires for beginning primary and secondary teachers and their pupils. There are three main challenges: collecting validity evidence and documenting the entire validation process; providing evidence of measurement invariance which is of particular importance given the international comparative nature of the intended inferences; and the development of scales that are appropriate, meaningful, and useful. Evidence is presented regarding how the FIRSTMATH researchers responded to each challenge, the psychometric properties of the FIRSTMATH assessments, and the procedures used to improve these instruments to measure well across countries.
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