Primary school teacher’s noticing of students’ mathematical thinking in problem solving

Professional noticing of students’ mathematical thinking in problem solving involves the identification of noteworthy mathematical ideas of students’ mathematical thinking and its interpretation to make decisions in the teaching of mathematics. The goal of this study is to begin to characterize pre-service primary school teachers’ noticing of students’ mathematical thinking when students solve tasks that involve proportional and non-proportional reasoning. From the analysis of how pre-service primary school teachers notice students’ mathematical thinking, we have identified an initial framework with four levels of development. This framework indicates a possible trajectory in the development of primary teachers’ professional noticing.

A catechism geographical, historicall and chronologicall

Notebook of unlined pages holding a handwritten copy of Tutor Flynt's "Catechism" copied by Harvard student Hull Abbot (1702-1774, Harvard AB 1720). The volume lists questions and accompanying answers on various academic subjects.

A catechism geographicall, historical and chronologicall 1719

Notebook of unlined pages with paper marbled cover holding a handwritten copy of Tutor Flynt's "Catechism" likely copied by Harvard student John Wolcott in 1719. The volume lists questions and accompanying answers on various academic subjects. On the last page, the inscription "John Wolcott [the name is crossed over] his geography, 1719" indicates Wolcott (1702-1747), a member of the Harvard class of 1721, copied the book.