That way, when it comes time to learn negative numbers, students can extend their mental

number line to the left of zero and comprehend the concept.

The string

number line is an example of an empty

number line.

This is a more abstract, and general, understanding of the meaning of -3 than when it is represented as a specific number of chips or as a specific location on the

number line. Students then learn to interpret integer addition as the sum of two generalised differences.

Evidence suggests that culture does have an influence on the direction of mental

number lines, though researchers are still debating the issue, Milius says.

During the BEA, Michael engaged in high rates of problem behavior across all conditions except when he was allowed access to his

number line, at which point he did not emit any problem behavior (Figure 3).

"But our work shows that there are meaningful human ideas in math, ingenious solutions and designs that have been mediated by writing and notational devices, like the

number line.

In this route, there is an intermediate step between the magnitude representation (i.e., the mental

number line) and the response representation, in which numbers are categorized as either small or large.

She, too, slides her fingers across the

number line and matter-of-factly describes a different answer than Katherine.

This study solves a problem on the distribution of rational numbers along the number plane and

number line. It is shown that the distribution is linked to resonance phenomena and also to stability of oscillating systems.

Every year some students struggle with the concept of

number lines, in particular how a

number line can be used to add and subtract.

Visual processing problems, for example, could lead to children losing their places when using the textbook, confusing numbers like 15 for 51, and using a

number line in reverse.