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Per Øystein Haavold 《创造性行为杂志》2020,54(3):555-566
In this exploratory study, I investigate the relationship between age, knowledge, and creativity in mathematics, by looking at to what extent does grade level, controlled for mathematical achievement, influence mathematical creativity and what characterizes the relationship between grade level, mathematical achievement and mathematical creativity. This was accomplished in two steps. In the first part, 301 students, 184 grade eight students and 117 grade eleven students, were given a creative mathematics test. A 3 × 2 ANOVA indicates that the older students were more creative; however, there was a significant interaction effect between grade level and achievement in mathematics on mathematical creativity. In the second part, an inductive content analysis was performed on the solutions of high achievers in grade eleven and grade eight. The results indicate that high achievers in grade eight are more creative than high achievers in grade eleven, but the nature of the task mediates the relationship between creativity and knowledge. 相似文献
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How does improving children's ability to label set sizes without counting affect the development of understanding of the cardinality principle? It may accelerate development by facilitating subsequent alignment and comparison of the cardinal label for a given set and the last word counted when counting that set (Mix et al., 2012). Alternatively, it may delay development by decreasing the need for a comprehensive abstract principle to understand and label exact numerosities (Piantadosi et al., 2012). In this study, preschoolers (N = 106, Mage = 4;8) were randomly assigned to one of three conditions: (a) count‐and‐label, wherein children spent 6 weeks both counting and labeling sets arranged in canonical patterns like pips on a die; (b) label‐first,wherein children spent the first 3 weeks learning to label the set sizes without counting before spending 3 weeks identical to the count‐and‐label condition; (c) print referencing control. Both counting conditions improved understanding of cardinality through increases in children's ability to label set sizes without counting. In addition to this indirect effect, there was a direct effect of the count‐and‐label condition on progress toward understanding of cardinality. Results highlight the roles of set labeling and equifinality in the development of children's understanding of number concepts. 相似文献
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Kelly S. Mix 《Child Development Perspectives》2019,13(2):121-126
Research has demonstrated strong relations between spatial skill and mathematics across ages and in both typical and atypical populations, suggesting that a significant proportion of variance in mathematics performance can be explained by variance in spatial skill. Why do these relations exist and how do they develop? Studies of dimensionality in the two domains suggest the relation holds across tasks and is not limited to specific spatial or mathematics subskills. Spatial skills might perform several functions in real-time problem solving, but these have not been differentiated empirically. The relation appears to be based on automatic shared processing, as well as strategic recruitment of spatial processes. Developmentally, the relation is consistent in its strength, but may change qualitatively, particularly in response to novel mathematics content. 相似文献
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This article compares students' critiques within a class discussion about an invented statistic to STEM professionals' critiques from interviews to better understand how the situated meanings of a statistic are similar and different across student and professional worlds. We discuss similarities and differences in how participants constructed meaning for the statistic, and argue that disciplinary practices in schooling will always have an approximate, and somewhat indeterminate, relation to the figured worlds of professional practice. 相似文献
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David H. Uttal Katherine O’Doherty Rebecca Newland Linda Liu Hand Judy DeLoache 《Child Development Perspectives》2009,3(3):156-159
Abstract— As the articles in this special issue suggest, linking concrete and abstract representations remains a fundamentally important challenge of cognition development and education research. This issue is considered from the perspective of the dual-representation hypothesis—all symbols are simultaneously objects in their own right and representations of something else—which can shed light on the challenges of linking concrete and symbolic representations. Manipulations that lead children to focus on the object properties may actually make it harder for them to focus on what the symbols represent. Conversely, decreasing children’s attention to the object’s properties can make it easier for them to establish a link between concrete and symbolic. The educational implications of the dual-representation hypothesis are considered. 相似文献
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A series of studies was conducted which focused on US adults' beliefs about the relative importance of acquiring mathematical skills for preschool children and about how children acquire these skills. In Study 1, adults rated general information, reading and social skills as all being more important than mathematical skills. They also claimed that parents have the most influence on preschool children's learning regardless of content area. In Study 2, the parents of kindergarten children also rated reading, general information and social skills as all being more important than mathematics in preparing children for the first grade. The more important parents felt mathematics were, the more they reported engaging in a variety of mathematical-related activities with their children. However, the importance they placed on mathematics was not related to their child's actual mathematical performance. In summary, adults seem to value mathematics less than other skills in preparing young children to enter elementary school. © 1998 John Wiley & Sons, Ltd. 相似文献