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In their introductory article to a special issue on advanced mathematical thinking thatconsidered symbolizing, mathematizing, algorithmatizing, defining, and reasoning, Selden andSelden (2005) stated:Sometimes referred to as “mathematical habits of mind” or “mathematical practices,” these[aforementioned specific] ways of thinking about and doing mathematics may be fairlywidely regarded as productive, but are often left to the implicit curriculum. (p. 1)Also, according to Bass (2005), mathematical habits of mind are critical to many aspects of theeducational process. He argued that:the knowledge, practices, and habits of mind of research mathematicians are not onlyrelevant to school mathematics education, but that this mathematical sensibility andperspective is essential for maintaining the mathematical balance and integrity of theeducational process—in curriculum development, teacher education, assessment, etc.
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