Mathematical Argumentation skills have historically been overlooked in assessment, but the inclusion of Mathematical Argumentation in the Common Core State Standards (CCSS) as one of the Standards of Mathematical Practice challenges assessment developers to assess this mathematical practice. Explanation and justification of one's own thinking to a…

Focuses on the language used by elementary mathematics teachers and its relationship to students' understanding of mathematical concepts, as well as their misconceptions. Describes eight situations in which the use of precise, formal mathematical terms could be replaced by informal language, particularly when introducing new concepts. (TW)

Study of the language produced by teachers in American university mathematics classrooms suggests that teachers redefine or remap the semantic domains of the first and second person pronouns to include third person and indefinite reference. There were five sets of discourse-defined semantic mappings for the pronoun "we." (Author/CB)

Techniques for integrating English-as-a-Second-Language (ESL) instruction and mathematics instruction, particularly the language of mathematics, are discussed. Focus here is on mathematics instruction for limited-English-speaking students in the mainstream classroom. First, examples of the academic language of mathematics that students must…