“…Yet, this does not imply a recommendation to adopt Japanese math textbooks, as was done with Singapore's math textbooks, which were adopted by other countries including the U.S. and Israel (Ramakrishnan, 2000). Rather, it is recommended that Japan's attribute mastery profile stimulate educators in the U.S. and Israel to reflect on their own intended mathematics curriculum and the way it is being taught in order to find out what needs to be changed and how to get to what is educationally possible, as exemplified by the Japanese students (Cogan & Schmidt, 2002;Wagemaker, 2002). In this regard, identifying and mapping clusters of hierarchically related latent knowledge states at the country level can be useful; such maps (as demonstrated in this article) can help tracing developmental paths towards mastery which are valuable for evaluating both the intended and the implemented curricula and can aid in designing remedial instruction.…”