This study investigated different math-talk facilitations, and conceptualized the teachers' talk moves for productive student mathematics discussions. Our findings suggest that students' strategy development is supported by talk moves coordinating a wide range of student strategies, representations and discussions that are at a process-level and…

External number representations are commonly used throughout the first years of instruction. The twenty-frame is a grid that contains two rows of 10 dots each, and within each row, dots are organized in two groups of five. The assumption is that children can make use of these structures for enumerating the dots, rather than relying on one-by-one…