We conducted a methodological review of articles using the Programme for International Student Assessment (PISA) or Trends in International Mathematics and Science Study (TIMSS) data published by the SSCI-indexed science education journals, such as the "International Journal of Science and Mathematics Education," the "International…

Current mathematics education reforms devoted to reasoning and proof highlight its importance in pre-kindergarten through grade 12. In order to provide students with opportunities to experience and understand proof, mathematics teachers must have a solid understanding of proofs themselves. In light of this challenge, a growing number of…

Data from 154 interviews with students in grades 3 to 13 were analyzed to suggest a developmental progression of conceptual understanding associated with the sample space for two ordinary six-sided dice tossed simultaneously. The model was then considered in the light of responses to an extension task involving three six-sided dice with four sides…