"If students do a lot of counting forward and backward, they create that mental number line
so they can see numbers and visualize numbers in their head," Adams said.
In primary school, one of the first encounters children have with formal scales occurs when they learn about numbers using a number line
. The number line
has been identified as a core mathematical tool used to support children's development of relative thinking (e.g., scale, magnitude, relative positioning of whole numbers and fractions); understanding of whole numbers, sequencing, and number relationships; and their understanding of equivalence (e.g., fractions, decimals, and percentages) (Geary, Hoard, Nugent & Byrd-Craven, 2008; National Council of Mathematics Teachers, 2006).
This is different from the number line
or chip model because it means a student has to compare the value between two positive numbers to determine what integer will represent a given situation.
Holmes and his colleagues, Vladislav Ayzenberg and Stella Lourenco of Emory University, conducted two experiments to find out what role attention plays in such a mental number line
within a real-life setting.
With the chicks, she says, the researchers focused on whether any kind of mental number line
would show up at all, regardless of direction.
. The number line
was included to determine if Michael's problem behavior would change when the intervention targeted a skills deficit.
In contrast, individuals from the same ethnic group who had received formal education used the entire number line
, showing that the more nuanced understanding of the line can be learned and enforced by education and cultural practices, the team found.
A common view in the number processing literature is that numerical magnitude is analogically represented in a mental number line
(Dehaene, 1992), formally given by a set of units in which nearby numbers are represented with overlapping distributions of activation (for different implementations of this kind of representation, see Verguts, Fias, & Stevens, 2005).
Two video cameras and several dozen math teachers sitting on risers at the back of the classroom are watching as Katherine slides her fingers across the whiteboard and explains where she would mark the number line
to indicate 3/7.
This book explains how to teach the connections involved in developing number sense, and highlights the key ideas at each stage in children's learning, covering counting, addition and subtraction, the number line
, multiplication and division, written calculations, and teaching approaches.
They also brightened up the wooden slats outside the entrance, and are creating a number line
with paint on paving slabs.