標(biāo)題: Titlebook: Adventures of Mind and Mathematics; Wolff-Michael Roth Book 2020 Springer Nature Switzerland AG 2020 mathematical reasoning.cognitive math [打印本頁(yè)] 作者: 譴責(zé) 時(shí)間: 2025-3-21 17:37
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作者: Optimum 時(shí)間: 2025-3-21 23:01 作者: myocardium 時(shí)間: 2025-3-22 02:58
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作者: 猛擊 時(shí)間: 2025-3-22 07:18 作者: 小臼 時(shí)間: 2025-3-22 11:08 作者: BRAWL 時(shí)間: 2025-3-22 13:08
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作者: anachronistic 時(shí)間: 2025-3-22 19:14
Affect in the Mathematical Mind(cf. Lakoff and Nú?ez 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作者: 保守黨 時(shí)間: 2025-3-22 22:56
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作者: 職業(yè)拳擊手 時(shí)間: 2025-3-23 03:06 作者: 斑駁 時(shí)間: 2025-3-23 07:51
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作者: ERUPT 時(shí)間: 2025-3-23 09:51
On Signifier Things and Signing-as-Eventfronted 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作者: certain 時(shí)間: 2025-3-23 15:46 作者: 采納 時(shí)間: 2025-3-23 18:05
2522-5405 and enactivist approaches.Provides an alternative to common 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 f作者: SMART 時(shí)間: 2025-3-24 01:39
Book 2020m 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 primac作者: 潛移默化 時(shí)間: 2025-3-24 05:08 作者: 馬籠頭 時(shí)間: 2025-3-24 09:07 作者: FLIC 時(shí)間: 2025-3-24 14:32
Mathematical Thinking as Eventin the all-pervasive cinematographic take, movement does not return to life by animating still images from the outside (Bergson 1908). The move from thought-things to thinking-as-event is not easy because, as the opening quotation points out, what is to be thought—thinking—withdraws itself. Thought 作者: 花束 時(shí)間: 2025-3-24 15:37
When Does Mathematical Form Make Sense?al occurrences. Instead, there is continued passage from word to word to word, and in most conversations, speakers are not concerned with the word itself but appear to be transported to and become part of the continuously evolving content. Theories focusing on entitative meanings that go with substa作者: 脆弱帶來(lái) 時(shí)間: 2025-3-24 21:53 作者: 效果 時(shí)間: 2025-3-25 00:48 作者: Outmoded 時(shí)間: 2025-3-25 03:18 作者: 碎片 時(shí)間: 2025-3-25 10:10 作者: 不真 時(shí)間: 2025-3-25 14:32 作者: Intractable 時(shí)間: 2025-3-25 17:34
Andrei A. Agrachev,Yuri L. Sachkovct–predicate relation as the foundation of truth sentences. This choice is important, as it determines, for example, the relation between what we understand as mind, on the one hand, and as the material world including the human body, on the other hand. The perennially discussed gaps (abysses) betwe作者: Inculcate 時(shí)間: 2025-3-25 23:52
https://doi.org/10.1007/11374343 Through such further and further division of the movement, the latter does not return—which is the core of Zeno’s paradox. As a result, “if in the natural world there were no other way of getting things save by such successive addition of their logically involved fractions, no complete units or who作者: DALLY 時(shí)間: 2025-3-26 02:42
Controllability, attainability,in the all-pervasive cinematographic take, movement does not return to life by animating still images from the outside (Bergson 1908). The move from thought-things to thinking-as-event is not easy because, as the opening quotation points out, what is to be thought—thinking—withdraws itself. Thought 作者: faddish 時(shí)間: 2025-3-26 05:19 作者: nettle 時(shí)間: 2025-3-26 08:51
https://doi.org/10.1007/BFb0042035asts the one developed in this book, which focuses on knowing-how-to-do-things-for-the-purpose-of. This form of knowing always names an event and cannot be reduced to the individual (thingified) body.作者: 飛鏢 時(shí)間: 2025-3-26 16:36 作者: 破譯密碼 時(shí)間: 2025-3-26 19:01 作者: Commodious 時(shí)間: 2025-3-27 00:38 作者: ambivalence 時(shí)間: 2025-3-27 04:03 作者: intertwine 時(shí)間: 2025-3-27 08:16 作者: peak-flow 時(shí)間: 2025-3-27 11:10
https://doi.org/10.1007/11374343about change more generally, yields fallacious theories. The example of thinking about a movement, such as the drawing of a line, in terms of consecutive states clearly shows that movement does not come back from still photographs even if we were to take more and more of them within the same time pe作者: blackout 時(shí)間: 2025-3-27 16:07 作者: 個(gè)人長(zhǎng)篇演說(shuō) 時(shí)間: 2025-3-27 18:53
https://doi.org/10.1007/BFb0042035eorized as sign(ifier) things that refer to something else. The apotheosis of this approach exists in/as the Theory of Knowledge Objectification (Radford 2013), which holds that knowledge is externalized in mathematical forms that can be shared within groups of individuals. These mathematical forms 作者: FIN 時(shí)間: 2025-3-27 22:01
https://doi.org/10.1007/BFb0042035course that is used so often that it does not appear to require any further explanation. A particular problem arises from the fact that the term is used in many different ways, doing a lot of different theoretical work (e.g., N?th 1990). This exclusive semantic focus on the meaning of words also was作者: 煩憂(yōu) 時(shí)間: 2025-3-28 03:41
https://doi.org/10.1007/BFb0042035could 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作者: 江湖騙子 時(shí)間: 2025-3-28 09:29 作者: 北京人起源 時(shí)間: 2025-3-28 10:33
https://doi.org/10.1007/BFb0042035les (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作者: 草率女 時(shí)間: 2025-3-28 14:36
https://doi.org/10.1007/BFb0042035uch as philosophy for millennia. The concept is central because “we can deal only with things, in some sense, experienced” (Whitehead 1933, 287). Dewey (1946) wholeheartedly agrees but adds that we can also have the experience of the . of future experience, thus expanding the extent of the phenomeno作者: Counteract 時(shí)間: 2025-3-28 20:10 作者: Coeval 時(shí)間: 2025-3-28 23:15
Mathematics in Mindhttp://image.papertrans.cn/a/image/150406.jpg作者: 暴發(fā)戶(hù) 時(shí)間: 2025-3-29 06:03
https://doi.org/10.1007/978-3-030-51809-7mathematical reasoning; cognitive mathematics; transactional psychology; Cartesianism; progression of ac作者: refine 時(shí)間: 2025-3-29 09:53