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6.10.3 Mathematical abilities.

Mathematical ability is dependent on formal education as it relies on reasoning and analysis (Scribner & Cole, 1981). Formal reasoning is a cultural component and is different from the reasoning required in adaptation to cultural environments. For some researchers mathematical ability was directly an artifact of educational training, and higher order reasoning cannot occur in illiterate respondents (Luria (1974). Luria suggested that reasoning is an artificial cultural product and must be learned in the context of a Westernized education. As we have seen previously that contention has been called into question. Typically Asian children have performed better than their Western counterparts (Geary, Fan, & Bow-Thomas, 1992). The explanation for the higher performance are the strong family norms for achievement that support mathematical education and the strong educational efforts made to help children develop formal mathematical skills (van de Vijver & Willemsen, 1993).

However, despite the contention of Luria, members of a variety of illiterate cultures learn mathematical skills (Schliemann & Carraher, 2001). Illiterate farmers make very accurate estimation of volume of crops and others use a variety of devices to count and estimate. For example string devices known as khipu were used in the ancient Inca empire to register census data and evidence for the use of geometry to locate objects have been found among illiterate cultural groups living in the Amazon (Dehaene, Izard, Pica, & Spleke, 2006).

6.10.4 The ultimate pedagogical goal: Creativity.

Creativity refers to cognition that is novel and “outside the box”. Cultural development for both good and bad depends in the long term on individuals who can produce new ways of exploring old problems or produce original solutions not previously thought possible. Creativity has enabled humans to take great strides in science for example in the exploration of space with the latest achievement the Mars landing of the vehicle “Curiosity” having occurred during the week of this writing. At the same time creativity has also enabled scientists to contribute to horrifying weapons of mass destruction. All the great thinkers of the world have had creative approaches to the issues of their day. Some researchers think of creativity in terms of personality traits, particularly individuals who are confident and acceptant of the self, and display psychological independence (Barron & Harrington, 1981).

Creative persons have consistent with personal independence the ability to think divergently rather than relying on only the convergent cognition measured in intelligence testing. Also consistent with personal independence is a high tolerance for ambiguity and disorder and the willingness to take risks (Sternberg & Lubart, 1999). Importantly, creative individuals have the ability to resist conformity pressures. These traits were also found in creative individuals even in highly conformist societies like the Sudan (Khaleefa, Erdos, & Ashria, 1996). The creative individual must be able to deal with and overcome many obstacles rooted in pressures from society and culture.

Research has also shown socialization practices to be important. Simonton (1987) concluded that strong parental support and stimulation encourages creativity in children. Stimulation is a necessary component that is often delimited by culture and class. For example, in one comparative study children that had socioeconomic advantages were more creative compared to children from deprived families that struggle for survival. However, even the most creative individual must operate within the boundaries of cultural norms. In one major study Shane, Venkataraman, and MacMillan (1995) results showed that the innovative strategies employed depended on the dominant cultural values. For example using Hofstede’s cultural values, the researchers found that in countries high on uncertainty avoidance creative individuals had to work through relevant organizational norms and procedures. On the other hand in countries identified as high on power distance creative individuals sought the assistance of authorities and found they needed a broad base of support. Whether Socrates or Copernicus, creative individuals have found themselves part of cultures and social structures that had to be taken into account in order to produce creative contributions. Although creative individuals may share traits across various cultures to perform their work they have to acknowledge cultural values and work in ways approved by those who have power (Csikszentmihalyi, 2000).

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