pt. I. The foundations of PISA mathematics -- The evolution and key concepts of the PISA mathematics frameworks -- Mathematical competencies and PISA -- The real world and the mathematical world -- Using competencies to explain mathematical item demand : a work in progress -- A research mathematician's view on mathematical literacy -- pt. II. Implementing the PISA survey : collaboration, quality and complexity -- From framework to survey data : inside the PISA assessment process -- The challenges and complexities of writing items to test mathematical literacy -- Computer-based assessment of mathematics in PISA 2012 -- Coding mathematics items in the PISA assessment -- The concept of opportunity to learn (OTL) in international comparisons of education -- pt. III. PISA's impact around the world : Inspiration and adaptation -- Applying PISA ideas to classroom teaching of mathematical modelling -- The impact of PISA on mathematics teaching and learning in Germany -- The impact of PISA studies on the Italian national assessment system -- The effects of PISA in Taiwan : contemporary assessment reform -- PISA's influence on thought and action in mathematics education