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Technology-Enabled Mathematical Problem Posing as Modeling

机译:技术建模的数学问题

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Acknowledging the notions of modeling, problem solving, problem posing, and applications as the major driving force behind current mathematical education pedagogy, the objective of the paper is to discuss the use of technology for posing problems in the context of K-12 teacher education. Towards this end, the embedded nature of relationship between problem posing and problem solving in the presence of technology is revisited. Theoretical considerations in formulating mathematical problems by teacher candidates are described and used for the analysis of genuine problem posing activities. This analysis reveals technology as an agency for one’s mathematical development and illuminates its function as a cognitive amplifier. The need for paying attention to the concept of didactic coherence in formulating new problems and the power of reciprocal problem posing for advancing learners’ higher order thinking skills in a technological paradigm are emphasized. The paper argues for the importance of problem posing experience for the learning of mathematics with computers and the need for further research in this area.
机译:认识到建模,解决问题,提出问题和应用程序的概念是当前数学教育教学法的主要推动力,本文的目的是讨论在K-12教师教育的背景下使用技术提出问题的方法。为此,人们重新探讨了在技术存在下问题提出与问题解决之间关系的内在本质。描述了由教师候选人提出数学问题的理论考虑,并将其用于分析真正的问题提出活动。这项分析揭示了技术是促进数学发展的动力,并阐明了其作为认知放大器的功能。强调了在制定新问题时要注意教学连贯性的概念,以及在技术范式中提高学习者的高阶思维技能所产生的对等问题的力量。该论文提出了在计算机上学习数学的问题提出经验的重要性以及在这一领域进行进一步研究的必要性。

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