標(biāo)題: Titlebook: Connecting Mathematics and Mathematics Education; Collected Papers on Erich Christian Wittmann Book‘‘‘‘‘‘‘‘ 2021 The Editor(s) (if applica [打印本頁(yè)] 作者: CROSS 時(shí)間: 2025-3-21 17:25
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作者: 對(duì)待 時(shí)間: 2025-3-21 23:49
Future Tropical Cyclone Activitys and conceptions of mathematics teaching? This problem—relevant for theoretical and empirical studies in mathematics education as well as for teacher training—is considered in the present paper. The author suggests an approach which is based on teaching units (Unterrichtsbeispiele). Suitable teachi作者: fluoroscopy 時(shí)間: 2025-3-22 03:16 作者: ostracize 時(shí)間: 2025-3-22 08:05 作者: irreparable 時(shí)間: 2025-3-22 12:12 作者: ungainly 時(shí)間: 2025-3-22 13:17
Importance of Tropical Forests,r is structured as follows: It starts with a general plea for placing the mathematical training of any category of students into their professional context. Then the context of primary education in Germany, with its strong emphasis on the principle of learning by discovery, is sketched.作者: ungainly 時(shí)間: 2025-3-22 19:51
Florencia Montagnini,Carl F. Jordanovation and to transform it effectively and creatively to their context. This refers not only to the design and the implementation of learning environments but also to their empirical foundation. Empirical studies conducted in the usual style are not the only option for supporting the design empiric作者: 書(shū)法 時(shí)間: 2025-3-22 22:10 作者: 使服水土 時(shí)間: 2025-3-23 04:54 作者: FIN 時(shí)間: 2025-3-23 08:04 作者: faculty 時(shí)間: 2025-3-23 13:28 作者: 試驗(yàn) 時(shí)間: 2025-3-23 15:07 作者: Chameleon 時(shí)間: 2025-3-23 19:26
The Alpha and Omega of Teacher Education: Organizing Mathematical Activities,r is structured as follows: It starts with a general plea for placing the mathematical training of any category of students into their professional context. Then the context of primary education in Germany, with its strong emphasis on the principle of learning by discovery, is sketched.作者: 清楚說(shuō)話 時(shí)間: 2025-3-24 00:48
Slope Stability and Mass Movements section shows that learning environments are a natural way to address teachers in their main role, teaching, and that therefore this approach is promising for improving mathematics teaching in an effective way. The section ends with a teaching model based on Guy Brousseau’s theory of didactical situations.作者: Nonporous 時(shí)間: 2025-3-24 03:48 作者: 含糊其辭 時(shí)間: 2025-3-24 06:52
Importance of Tropical Forests,r is structured as follows: It starts with a general plea for placing the mathematical training of any category of students into their professional context. Then the context of primary education in Germany, with its strong emphasis on the principle of learning by discovery, is sketched.作者: CLOWN 時(shí)間: 2025-3-24 11:09 作者: 牽索 時(shí)間: 2025-3-24 17:55 作者: 演繹 時(shí)間: 2025-3-24 20:55 作者: follicular-unit 時(shí)間: 2025-3-25 03:07
https://doi.org/10.1007/978-1-4020-5775-5In his famous talk at ICME 2 (Exeter 1972) the French mathematician R. Thom pointed out that any conception of mathematics teaching necessarily rests on a certain view of mathematics (Thom 1973, 204). As a consequence mathematics education cannot develop without close links to mathematics.作者: 過(guò)份艷麗 時(shí)間: 2025-3-25 03:57 作者: 用不完 時(shí)間: 2025-3-25 08:24 作者: GULP 時(shí)間: 2025-3-25 15:01
https://doi.org/10.1007/b138811This paper gives an account of the conceptual and practical approach to “operative proofs” that has been developed in the Mathe 2000 project. By means of some typical learning environments, this notion and its theoretical background are explained.作者: Congestion 時(shí)間: 2025-3-25 19:28 作者: cortex 時(shí)間: 2025-3-25 20:44 作者: 擁護(hù) 時(shí)間: 2025-3-26 02:09
When Is a Proof a Proof?,In his famous talk at ICME 2 (Exeter 1972) the French mathematician R. Thom pointed out that any conception of mathematics teaching necessarily rests on a certain view of mathematics (Thom 1973, 204). As a consequence mathematics education cannot develop without close links to mathematics.作者: 奴才 時(shí)間: 2025-3-26 07:19
Standard Number Representations in the Teaching of Arithmetic,The paper describes the specific approach towards the choice and use of number representations as developed by the project Mathe 2000.作者: 紳士 時(shí)間: 2025-3-26 08:35 作者: 影響帶來(lái) 時(shí)間: 2025-3-26 15:53
Operative Proofs in School Mathematics and Elementary Mathematics,This paper gives an account of the conceptual and practical approach to “operative proofs” that has been developed in the Mathe 2000 project. By means of some typical learning environments, this notion and its theoretical background are explained.作者: 排名真古怪 時(shí)間: 2025-3-26 18:54 作者: 殖民地 時(shí)間: 2025-3-26 21:24
sts) and “well-understood” mathematics.Demonstrates how to f.This open access book features a selection of articles written by Erich Ch. Wittmann between 1984 to 2019, which shows how the “design science conception” has been continuously developed over a number of decades. The articles not only desc作者: FRAUD 時(shí)間: 2025-3-27 01:29 作者: Morose 時(shí)間: 2025-3-27 05:22
Management of Tropical Forests,turn to a balanced situation it is necessary to pay more attention to theories which are based on mathematics. As an example of such a “homegrown” theory, the paper presents the structure-genetic didactical analysis, the research method of mathematics education conceived of as a “design science”.作者: BULLY 時(shí)間: 2025-3-27 10:15 作者: 遺傳 時(shí)間: 2025-3-27 15:32
Book‘‘‘‘‘‘‘‘ 2021tion” has been continuously developed over a number of decades. The articles not only describe this conception in general terms, but also demonstrate various substantial learning environments that serve as typical examples. In terms of teacher education, the book provides clear information on how to作者: Omniscient 時(shí)間: 2025-3-27 19:39 作者: Mindfulness 時(shí)間: 2025-3-27 22:36
,Structure-Genetic Didactical Analyses—Empirical Research “of the First Kind”,turn to a balanced situation it is necessary to pay more attention to theories which are based on mathematics. As an example of such a “homegrown” theory, the paper presents the structure-genetic didactical analysis, the research method of mathematics education conceived of as a “design science”.作者: 半圓鑿 時(shí)間: 2025-3-28 03:35
Florencia Montagnini,Carl F. Jordanally. Another option consists of uncovering the empirical information that is inherent in mathematics by means of structure-genetic didactical analyses. In this chapter, a third option is proposed as particularly suited to bridge the gap between didactical theories and practice: collective teaching experiments.作者: STELL 時(shí)間: 2025-3-28 08:09 作者: 傳授知識(shí) 時(shí)間: 2025-3-28 13:21
Future Tropical Cyclone Activityo one another. My interest is equally directed to teacher training and to the methodology of research in mathematics education. The structure of the paper is as follows. First I would like to make reference to and characterize an earlier discussion on the status and role of mathematics education; se作者: Concrete 時(shí)間: 2025-3-28 15:35 作者: NADIR 時(shí)間: 2025-3-28 20:38
essential knowledge for teaching mathematics beyond the pure delivery of subject matter. For this purpose, mathematics has to be conceived of as an organism that is deeply rooted in elementary operations of the978-3-030-61572-7978-3-030-61570-3作者: GLUE 時(shí)間: 2025-3-28 23:12 作者: Heart-Rate 時(shí)間: 2025-3-29 07:02
,Mathematics Education as a ‘Design Science’,ve witnessed a vivid programmatic discussion on the role and nature of mathematics education in the German speaking part of Europe (cf., the papers by Bigalke, Griesel, Wittmann, Freudenthal, Otte, Dress and Tietz in the special issue 74/3 of the . as well as Krygowska .). Since then the status of m作者: 發(fā)牢騷 時(shí)間: 2025-3-29 07:17 作者: 外來(lái) 時(shí)間: 2025-3-29 12:08 作者: 滲入 時(shí)間: 2025-3-29 19:08
,Clinical Interviews Embedded in the “Philosophy of Teaching Units”—A Means of Developing Teachers’ y by internal motives but is also a reaction to pressures coming from well-established disciplines, which question the academic status of mathematics education, as well as from teachers’ associations, which question the utility of mathematics education for practice.作者: 向下五度才偏 時(shí)間: 2025-3-29 21:21
,Mathematics Education as a ‘Design Science’,, there is the risk that by adopting standards, methods and research contexts from other well-established disciplines, the applied nature of mathematics education may be undermined. In order to preserve the specific status and the relative autonomy of mathematics education, the suggestion to conceiv作者: Factorable 時(shí)間: 2025-3-30 02:07
Designing Teaching: The Pythagorean Theorem,namely, the design of teaching. As expressed in the title, a well-known topic of geometry, the Pythagorean theorem, is used for illustrating this integrative approach to student teachers. In other words, the emphasis of the paper is . on the Pythagorean theorem per se but . on general principles of 作者: IOTA 時(shí)間: 2025-3-30 07:01
The Alpha and Omega of Teacher Education: Organizing Mathematical Activities,r is structured as follows: It starts with a general plea for placing the mathematical training of any category of students into their professional context. Then the context of primary education in Germany, with its strong emphasis on the principle of learning by discovery, is sketched.作者: 黑豹 時(shí)間: 2025-3-30 09:23
Collective Teaching Experiments: Organizing a Systemic Cooperation Between Reflective Researchers aovation and to transform it effectively and creatively to their context. This refers not only to the design and the implementation of learning environments but also to their empirical foundation. Empirical studies conducted in the usual style are not the only option for supporting the design empiric作者: 堅(jiān)毅 時(shí)間: 2025-3-30 14:34
,Structure-Genetic Didactical Analyses—Empirical Research “of the First Kind”,g the field. This imbalance greatly reduces the impact of mathematics education both on teacher education and on the teaching practice. In order to return to a balanced situation it is necessary to pay more attention to theories which are based on mathematics. As an example of such a “homegrown” the作者: Neuralgia 時(shí)間: 2025-3-30 16:49
Jennifer Robinson,Allen J. Scott,Peter J. Taylor sharp peak near R = 3.5 kpc and a broader peak centred near R = 7 kpc. Northern CO data show only a broad peak, centred near R = 6 kpc..A preliminary interpretation of the combined southern and northern CO data is consistent with a four-arm spiral structure with a pitch angle of 12° ± 1°.作者: A保存的 時(shí)間: 2025-3-30 22:43
Conference proceedings 1992 ecosystem levels. The geographical distribution of topics rangesfrom the tropics to northern temperate areas. In fact, limnology isincreasingly becoming a science which is, rightly, relevant toeveryday life, not just an academic subject. .作者: 外面 時(shí)間: 2025-3-31 04:12 作者: 項(xiàng)目 時(shí)間: 2025-3-31 05:40
ce information and data that are reliable and relevant.PreseElectrochemistry is the basis of many important and modern applications and scientific developments?such as nanoscale machining (fabrication of miniature devices with three dimensional control in the?nanometer scale), electrochemistry at th作者: 公理 時(shí)間: 2025-3-31 10:49
