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Titlebook: Adventures of Mind and Mathematics; Wolff-Michael Roth Book 2020 Springer Nature Switzerland AG 2020 mathematical reasoning.cognitive math

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发表于 2025-3-21 17:37:09 | 显示全部楼层 |阅读模式
期刊全称Adventures of Mind and Mathematics
影响因子2023Wolff-Michael Roth
视频video
发行地址Presents a transactional approach to the question of mind mathematics, thus overcoming the body-mind dualism that exists even in embodiment and enactivist approaches.Provides an alternative to common
学科分类Mathematics in Mind
图书封面Titlebook: Adventures of Mind and Mathematics;  Wolff-Michael Roth Book 2020 Springer Nature Switzerland AG 2020 mathematical reasoning.cognitive math
影响因子This monograph uses the concept and category of “event” in the study of mathematics as it emerges from an interaction between levels of cognition, from the bodily experiences to symbolism. It is subdivided into three parts.The first moves from a general characterization of the classical approach to mathematical cognition and mind toward laying the foundations for a view on the mathematical mind that differs from going approaches in placing primacy on events.The second articulates some common phenomena–mathematical thought, mathematical sign, mathematical form, mathematical reason and its development, and affect in mathematics–in new ways that are based on the previously developed ontology of events. The final part has more encompassing phenomena as its content, most prominently the thinking body of mathematics, the experience in and of mathematics, and the relationship between experience and mind. The volume is well-suited for anyone with a broad interest in educationaltheory and/or social development, or with a broad background in psychology..
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Mathematical Thinking as Eventessence of knowing and learning as living events. It misses that not only the content of thinking changes in the course of learning, as psychologists believe but also the very event of thinking. In this chapter, I develop an approach in which the event rather than some representation or schema is th
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Genesis of Mathematical Reasoningcould the monadic individuals of constructivism ever construct their own forms of behavior (practices) so that they are recognizably the same as the behaviors of contemporaries. How could such behaviors manifest continuity along a historical route of the field or discipline? One recent study in math
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Affect in the Mathematical Mind(cf. Lakoff and Núñez 2000). Affect and cognition may be related through the phenomenon of ., where two distinct areas of experience come to co-occur because two areas of the brain are activated simultaneously. In mathematics education, too, emotions and affect have become an area of interest. Howev
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The Thinking Body of Mathematicsles (scientific psychology) or to cultural principles (interpretive psychology). To this date, as some critics note, little has changed. This is so because even in those circles where scholars are concerned with the “enacted” and “embodied” mind, the specters of Cartesianism loom: Mind is thought of
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https://doi.org/10.1007/BFb0042035fronted with signifier–signs for which they have to construct meaning. Here, the signifier–sign is treated as if it could exist outside of its relations to the things signified. Long ago, such an approach to the question of the signifier–sign has been subject to severe critique from pragmatist philosophers, who suggest that
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