In this study, I examined how 34 Spanish-speaking English language learners (ELLs) used their linguistic resources (English and Spanish) and language modes (oral and written language) to demonstrate their knowledge of proportional reasoning in a dual language mathematics assessment task. The assessment allows students to see the item in both…

Traditional grammar pedagogy conceptualizing grammar as rules of thumb fails to provide learners with comprehensive, accurate, or systematic knowledge on the system. The present classroom-based study aims at investigating application of an alternative pedagogical grammar method integrating the pedagogical framework of systemic theoretical…

The concept of variability is central to statistics. In this research report, we review mathematics education research on variability and, based on that review and on feedback from an expert panel, propose a learning progression (LP) for variability. The structure of the proposed LP consists of 5 levels of sophistication in understanding…