Our goal in this article is to organise an epistemological matrix for the concept of rational number that contemplates its different meanings. Aiming at understanding the various ways to signify the rational numbers and based on the theoretical-methodological approach of conceptual profiles, we produce and analyse data from various sources,…

We share a subset of the 41 underlying strategies that comprise five ways of reasoning about integer addition and subtraction: formal, order-based, analogy-based, computational, and emergent. The examples of the strategies are designed to provide clear comparisons and contrasts to support both teachers and researchers in understanding specific…

The accrediting body for media education, the Accrediting Council on Education in Journalism and Mass Communications (ACEJMC), has established twelve professional values and competencies that all students must demonstrate before graduating from accredited journalism and mass communication programs. A close reading suggests that these twelve…

Several psychophysical and neuropsychological investigations have suggested that the mental representation of numbers takes the form of a number line along which magnitude is positioned in ascending order according to our reading habits. A longstanding debate is whether this spatial frame is triggered automatically as intrinsic part of the number…

While numbers, data and statistics have been part of the bureaucracy since the emergence of the nation state, the paper argues that the governance turn has seen the enhancement of the significance of numbers in policy. The policy as numbers phenomenon is exemplified through two Australian cases in education policy, linked to the national schooling…

How does understanding the decimal system change with age and experience? Second, third, sixth graders, and adults (Experiment 1: N = 96, mean ages = 7.9, 9.23, 12.06, and 19.96 years, respectively) made number line estimates across 3 scales (0-1,000, 0-10,000, and 0-100,000). Generation of linear estimates increased with age but decreased with…

When classifying numbers as odd or even with left-right keypresses, performance is better with the mapping even-right/odd-left than with the opposite mapping. This linguistic markedness association of response codes (MARC) effect has been attributed to compatibility between the linguistic markedness of stimulus and response codes. In 2 experiments…

Small numbers are spontaneously associated with left space and larger numbers with right space (the SNARC effect), for example when classifying numbers by parity. This effect is often attributed to reading habits but a causal link has so far never been documented. We report that bilingual Russian-Hebrew readers show a SNARC effect after reading…

Establishes two categories of numbers: (1) relatively frequent numbers and (2) relatively infrequent numbers. The numbers in the first group are manipulated by people and depend, at least to some degree, on memorization; those in the second group are essentially machine inputs. Examples of the first group are examined. (SED)

This report describes phase 1 of a projected 2-phase project designed to investigate the feasibility of developing an interactive videodisc to teach math and science concepts to preschool handicapped children. A videodisc system is proposed that would allow children to manipulate real-world objects in order to acquire concrete knowledge about…

While on the surface baseball cards may appear to be a mundane object of child's play, they are precious tools for examining U.S. society. Baseball cards not only hold a wealth of information regarding the players they feature they also reveal much about the state of society at the time of their production and the individuals who collect them. In…