標(biāo)題: Titlebook: Approaches to Algebra; Perspectives for Res Nadine Bernarz,Carolyn Kieran,Lesley Lee Book 1996 Kluwer Academic Publishers 1996 algebra.arit [打印本頁(yè)] 作者: 字里行間 時(shí)間: 2025-3-21 16:10
書(shū)目名稱(chēng)Approaches to Algebra影響因子(影響力)
書(shū)目名稱(chēng)Approaches to Algebra影響因子(影響力)學(xué)科排名
書(shū)目名稱(chēng)Approaches to Algebra網(wǎng)絡(luò)公開(kāi)度
書(shū)目名稱(chēng)Approaches to Algebra網(wǎng)絡(luò)公開(kāi)度學(xué)科排名
書(shū)目名稱(chēng)Approaches to Algebra被引頻次
書(shū)目名稱(chēng)Approaches to Algebra被引頻次學(xué)科排名
書(shū)目名稱(chēng)Approaches to Algebra年度引用
書(shū)目名稱(chēng)Approaches to Algebra年度引用學(xué)科排名
書(shū)目名稱(chēng)Approaches to Algebra讀者反饋
書(shū)目名稱(chēng)Approaches to Algebra讀者反饋學(xué)科排名
作者: albuminuria 時(shí)間: 2025-3-21 23:11
978-0-7923-4168-0Kluwer Academic Publishers 1996作者: CRASS 時(shí)間: 2025-3-22 03:14
Mathematics Education Libraryhttp://image.papertrans.cn/b/image/160299.jpg作者: libertine 時(shí)間: 2025-3-22 07:28
,Einführung in das konsistente Partnering,en reduces algebra), the solving of specific problems or classes of problems (which has played an important role historically in the development of algebra and its teaching), the generalization of laws governing numbers (a very strong focus in certain curricula), the more recent introduction of the 作者: 官僚統(tǒng)治 時(shí)間: 2025-3-22 10:01
Hansj?rg Gaus,Christoph Emanuel Müllermetric analysis, as well as the theory of proportions, played an important role in the development of algebra in the Renaissance. Until Viète’s algebraic revolution at the end of the 16th century, geometry was a means to prove algebraic rules, and, likewise, algebra was a means to solve some geometr作者: Transfusion 時(shí)間: 2025-3-22 15:15 作者: Subjugate 時(shí)間: 2025-3-22 20:38 作者: Genistein 時(shí)間: 2025-3-22 22:27 作者: aggressor 時(shí)間: 2025-3-23 03:20
Ergebnisse der empirischen Untersuchung,tremely effective. After a reflection on my own immersion into algebra and the evolution of attitudes toward the teaching of algebra, a teaching experiment using generalization activities is presented. Two generalizing activities are described in some detail, looking at the behavior of adults in the作者: 修飾語(yǔ) 時(shí)間: 2025-3-23 07:24 作者: 嘴唇可修剪 時(shí)間: 2025-3-23 10:51
Leistung und Systemisch-integrative Führung evolution, lead to thinking about the didactic role that this activity could play in the construction of algebraic knowledge on the part of the students. This idea, together with the growing body of evidence that spreadsheet environments may help pupils to develop fundamental aspects of algebraic t作者: Commemorate 時(shí)間: 2025-3-23 16:21
https://doi.org/10.1007/978-3-8350-9000-2bra as problem solving” tradition. The following comments mention the possibility of distinguishing algebra much more sharply from arithmetic, question the assumption that growth in learning should be gradual and point out the influence of research designs on research “conclusions.”作者: Optimum 時(shí)間: 2025-3-23 19:58
https://doi.org/10.1007/978-3-8350-9000-2e necessity of including a manipulable symbolic language. Then, the need for a fuller classification system for the analysis of word problems is argued. Such a system should take account not only of a larger variety of problems but also of the interactions and distinctions between formulating the pr作者: Reverie 時(shí)間: 2025-3-24 01:16
Leistung und Systemisch-integrative Führung question: “Where can we find the problems that brought about the development of algebra?” A first answer, not a bad one, may be: “In the beginning were the problems.” A second answer may also be: “Problems are central in mathematics; they are at the core of the main texts of algebra.” A third answe作者: 學(xué)術(shù)討論會(huì) 時(shí)間: 2025-3-24 04:18
Leistung und Systemisch-integrative Führungormulas, one of the main modes of algebraic activity that need to be learned. But the exploration of generic problems and their extensions that provides a mathematically authentic and motivating mode of activity through which all of algebra can be learned. The chapter reviews the nature of algebra a作者: 協(xié)迫 時(shí)間: 2025-3-24 06:32 作者: 兇兆 時(shí)間: 2025-3-24 10:59
Approaches to Algebra978-94-009-1732-3Series ISSN 0924-4921 Series E-ISSN 2214-983X 作者: Biguanides 時(shí)間: 2025-3-24 18:30
Grundlagen der empirischen Untersuchung,in an educational approach based on an oversimplified vision of algebra, which hides the semantic background of its grammar. In this chapter, some decisive factors in the evolution of the constitution of algebraic language are discussed in order to extract lessons from history that have a bearing on the teaching of this language today.作者: characteristic 時(shí)間: 2025-3-24 19:00 作者: 全部逛商店 時(shí)間: 2025-3-25 02:10 作者: Defraud 時(shí)間: 2025-3-25 04:53
Some Reflections on Teaching Algebra through GeneralizationThis brief commentary chapter devoted to issues suggested by the Mason and Lee chapters raises a number of fundamental questions concerning generalization: the epistemological status of generalization and the nature and complexities of generalization as it is manifested in the didactic context of the algebra classroom.作者: graphy 時(shí)間: 2025-3-25 09:46
The Role of Problems and Problem Solving in the Development of Algebrain an educational approach based on an oversimplified vision of algebra, which hides the semantic background of its grammar. In this chapter, some decisive factors in the evolution of the constitution of algebraic language are discussed in order to extract lessons from history that have a bearing on the teaching of this language today.作者: 水獺 時(shí)間: 2025-3-25 13:26 作者: insert 時(shí)間: 2025-3-25 16:43 作者: 辮子帶來(lái)幫助 時(shí)間: 2025-3-25 22:02 作者: tympanometry 時(shí)間: 2025-3-26 04:09
Book 1996o exact measure. Operations on magnitudes cannot be actually numerically calculated, except if those magnitudes are exactly measured by a certain unit. The theory of proportions does not have access to such operations. It cannot be seen as an "arithmetic" of ratios. Even if Euclidean geometry is don作者: Inflated 時(shí)間: 2025-3-26 08:06
,Einführung in das konsistente Partnering,concepts of variable and function (which appeared much later historically and which occupy a position of growing importance in some programs), and the study of algebraic structures (which marked the school curriculum in the 1960s under the influence of modern mathematics).作者: 卵石 時(shí)間: 2025-3-26 10:28 作者: 跟隨 時(shí)間: 2025-3-26 12:59
0924-4921 limited to exact measure. Operations on magnitudes cannot be actually numerically calculated, except if those magnitudes are exactly measured by a certain unit. The theory of proportions does not have access to such operations. It cannot be seen as an "arithmetic" of ratios. Even if Euclidean geome作者: 修剪過(guò)的樹(shù)籬 時(shí)間: 2025-3-26 17:50 作者: CONE 時(shí)間: 2025-3-26 23:06
https://doi.org/10.1007/978-3-8350-9000-2d. Such a system should take account not only of a larger variety of problems but also of the interactions and distinctions between formulating the problem equations and manipulating them to find the problem solutions.作者: Acetaldehyde 時(shí)間: 2025-3-27 04:44
Leistung und Systemisch-integrative Führungre the problems.” A second answer may also be: “Problems are central in mathematics; they are at the core of the main texts of algebra.” A third answer, another good one that will be presently justified, is: “The problems are at the end ... of the text.”作者: 短程旅游 時(shí)間: 2025-3-27 05:20
Leistung und Systemisch-integrative Führunges a mathematically authentic and motivating mode of activity through which all of algebra can be learned. The chapter reviews the nature of algebra and outlines such an approach, giving examples of typical tasks and of students work.作者: Albumin 時(shí)間: 2025-3-27 12:43
Das Systemisch-integrative Führungsmodelloom. The problem solving approaches to algebra, situated in today’s classroom, offer activities and obstacles that suggest different questions—some of which point back to the historical issues raised. The dichotomy of the general versus the particular and the question “What is a problem?” thread through the reflections in this commentary chapter.作者: forecast 時(shí)間: 2025-3-27 17:37
From Euclid to Descartes: Algebra and its Relation to Geometryaic revolution at the end of the 16th century, geometry was a means to prove algebraic rules, and, likewise, algebra was a means to solve some geometrical problems. In this chapter, I discuss some of the relations which, from Euclid to Descartes, bound algebra to geometry.作者: 拒絕 時(shí)間: 2025-3-27 19:16 作者: 使服水土 時(shí)間: 2025-3-27 23:09 作者: 使?jié)M足 時(shí)間: 2025-3-28 04:45
Problem-Solving Approaches to Algebra: Two Aspectses a mathematically authentic and motivating mode of activity through which all of algebra can be learned. The chapter reviews the nature of algebra and outlines such an approach, giving examples of typical tasks and of students work.作者: ABOUT 時(shí)間: 2025-3-28 09:36 作者: 本土 時(shí)間: 2025-3-28 12:46
Ergebnisse der empirischen Untersuchung,at of variable, are quite different. The historical discussion allows us to raise some questions concerning the role geometry and arithmetic could play in the teaching of basic concepts of algebra in junior high school.作者: 全等 時(shí)間: 2025-3-28 15:31
Grundlagen der empirischen Untersuchung,It is a matter of awakening and sharpening sensitivity to the presence and potential for algebraic thinking. Some examples of tasks which have been exploited in this way are presented with comments about some of the difficulties encountered.作者: 隼鷹 時(shí)間: 2025-3-28 21:42
Zusammenfassung und Implikationen,t which is normally expected in algebra, we can get a better understanding of the fundamental changes required of pupils in the passage from one mode of treatment to the other (conflicts, necessary adjustments, new constructions). Any didactic setting (choice of appropriate situations and interventions) necessarily relies upon this knowledge.作者: 鞭打 時(shí)間: 2025-3-28 23:13
Leistung und Systemisch-integrative Führungrelevant results of the study are discussed, in particular those emphasizing the shift that pupils make within this environment from proceeding from the known to the unknown (pre-algebraic process) to dealing with the unknown in order to determine its numerical value (algebraic process).作者: Recess 時(shí)間: 2025-3-29 04:23 作者: 沒(méi)有準(zhǔn)備 時(shí)間: 2025-3-29 07:46
Expressing Generality and Roots of AlgebraIt is a matter of awakening and sharpening sensitivity to the presence and potential for algebraic thinking. Some examples of tasks which have been exploited in this way are presented with comments about some of the difficulties encountered.作者: fabricate 時(shí)間: 2025-3-29 12:26
Emergence and Development of Algebra as a Problem-Solving Tool: Continuities and Discontinuities witt which is normally expected in algebra, we can get a better understanding of the fundamental changes required of pupils in the passage from one mode of treatment to the other (conflicts, necessary adjustments, new constructions). Any didactic setting (choice of appropriate situations and interventions) necessarily relies upon this knowledge.作者: 咒語(yǔ) 時(shí)間: 2025-3-29 18:57
Developing Algebraic Aspects of Problem Solving within a Spreadsheet Environmentrelevant results of the study are discussed, in particular those emphasizing the shift that pupils make within this environment from proceeding from the known to the unknown (pre-algebraic process) to dealing with the unknown in order to determine its numerical value (algebraic process).作者: peritonitis 時(shí)間: 2025-3-29 21:46
0924-4921 f of the 19th century, Euclid‘s Elements was considered a model of a mathematical theory. This may be one reason why geometry was used by algebraists as a tool 978-0-7923-4168-0978-94-009-1732-3Series ISSN 0924-4921 Series E-ISSN 2214-983X 作者: 溫和女孩 時(shí)間: 2025-3-30 01:16 作者: 該得 時(shí)間: 2025-3-30 05:40
Approaches to Algebra: Perspectives for Research and Teachingen reduces algebra), the solving of specific problems or classes of problems (which has played an important role historically in the development of algebra and its teaching), the generalization of laws governing numbers (a very strong focus in certain curricula), the more recent introduction of the 作者: GLUT 時(shí)間: 2025-3-30 10:00
From Euclid to Descartes: Algebra and its Relation to Geometrymetric analysis, as well as the theory of proportions, played an important role in the development of algebra in the Renaissance. Until Viète’s algebraic revolution at the end of the 16th century, geometry was a means to prove algebraic rules, and, likewise, algebra was a means to solve some geometr作者: 蓋他為秘密 時(shí)間: 2025-3-30 12:41
The Roles of Geometry and Arithmetic in the Development of Algebra: Historical Remarks from a Didactme hypotheses on the origins of Diophantus’ algebraic ideas, based on recent historical data. The first part deals with the concept of unknown and its links to two different currents of Babylonian mathematics (one arithmetical and the other geometric). The second part deals with the concepts of form作者: 災(zāi)禍 時(shí)間: 2025-3-30 20:26 作者: 擺動(dòng) 時(shí)間: 2025-3-30 23:18
