標(biāo)題: Titlebook: Connecting Abstract Algebra to Secondary Mathematics, for Secondary Mathematics Teachers; Nicholas H. Wasserman Book 2018 Springer Nature [打印本頁] 作者: 貧血 時間: 2025-3-21 17:14
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作者: 眉毛 時間: 2025-3-21 21:10
Anwendungen des Sinus- und Kosinussatzes., theory. In this chapter, we share results from a large-scale implementation of the GTCA with 375 students across 30 undergraduate institutions in the USA. We include a breakdown of performance based on major. We pair these findings with a detailed look at several GTCA tasks with direct connections 作者: 四目在模仿 時間: 2025-3-22 03:17
Berechnung des rechtwinkligen Dreiecks,a in order to develop effective understandings of the concepts of zero-divisors and the zero-product property (ZPP) in abstract algebra. A critical step in the learning trajectory involved the outright rejection of the legitimacy of zero-divisors as counterexamples to the ZPP, an activity known as m作者: 流出 時間: 2025-3-22 06:03 作者: 煉油廠 時間: 2025-3-22 11:48
Berechnung des rechtwinkligen Dreiecks,culum and helpful in building a coherent approach to school mathematics. We consider the case of quadratic equations, a topic which was once a topic of the abstract algebra of its day but whose place in the secondary curriculum is sometimes now questioned. We then consider the influence of the highe作者: 天氣 時間: 2025-3-22 16:20 作者: 天氣 時間: 2025-3-22 18:21
https://doi.org/10.1007/978-3-662-38242-4cs, aimed at conceptual coherence. It centrally features the real number line, with its geometric and arithmetic structures. It starts with linear measurement, expressed through division with remainder (.), which leads directly to place value and modular congruence. Abstract algebra enters through t作者: 小鹿 時間: 2025-3-23 00:16 作者: detach 時間: 2025-3-23 05:22
Berechnung des rechtwinkligen Dreiecks,ctitioner and research-based viewpoints of their interrelated themes and implications for curriculum, research, and faculty professional development. In the context of making mathematical connections between abstract algebra and secondary mathematics explicit, this commentary reflects on the learnin作者: investigate 時間: 2025-3-23 07:45 作者: 善于騙人 時間: 2025-3-23 12:36
Berechnung des rechtwinkligen Dreiecks,nt of the mathematical education of future secondary teachers. In this chapter, I argue that engagement in mathematical practices (e.g., constructing arguments, attending to precision) can serve as a link for preservice teachers from their study of abstract algebra to the content they will teach as 作者: Acclaim 時間: 2025-3-23 16:17 作者: 健壯 時間: 2025-3-23 21:03
https://doi.org/10.1007/978-3-662-36585-4portant mathematical opportunities. First, geometry from a transformation approach connects to algebra at the secondary level, especially through transformations of graphs; and second, geometry from a transformation approach connects to abstract algebra at the university level, especially through li作者: fallible 時間: 2025-3-24 01:01
https://doi.org/10.1007/978-3-662-36585-4 as having three interrelated components—(1) ability to recognize and look for elements of a given type, (2) awareness of structure, and (3) tendency to attend to and look for structure. We suggest the adoption of a structural perspective as a central theme in both school algebra and abstract algebr作者: 招募 時間: 2025-3-24 03:54 作者: AWRY 時間: 2025-3-24 09:32 作者: 不能仁慈 時間: 2025-3-24 14:36
Research in Mathematics Educationhttp://image.papertrans.cn/c/image/235590.jpg作者: fastness 時間: 2025-3-24 18:00
Connecting Abstract Algebra to Secondary Mathematics, for Secondary Mathematics Teachers978-3-319-99214-3Series ISSN 2570-4729 Series E-ISSN 2570-4737 作者: 希望 時間: 2025-3-24 20:21
https://doi.org/10.1007/978-3-319-99214-3Secondary Mathematics Teacher Education; Abstract Algebra; Secondary Mathematics; Connections between S作者: 少量 時間: 2025-3-25 02:15 作者: reaching 時間: 2025-3-25 06:41 作者: AUGUR 時間: 2025-3-25 07:53
Anwendungen des Sinus- und Kosinussatzes.,cs. In my findings, I discuss the differences in the participants’ descriptions of connections as reflected by their experiences with the secondary curriculum and their individual conceptualizations of abstract algebra.作者: 空氣 時間: 2025-3-25 15:14
Understanding School Mathematics in Terms of Linear Measure and Discrete Real Additive Groupsization of the “pattern generalization” activities in school mathematics. Finally, I present and discuss some problem-solving designs, which are intended to cultivate important mathematical practices in the course.作者: consolidate 時間: 2025-3-25 19:18
Abstract Algebra and Secondary School Mathematics Connections as Discussed by Mathematicians and Matcs. In my findings, I discuss the differences in the participants’ descriptions of connections as reflected by their experiences with the secondary curriculum and their individual conceptualizations of abstract algebra.作者: 粘土 時間: 2025-3-25 23:21
2570-4729 ful and productive for secondary teachers and secondary teac.Secondary mathematics teachers are frequently required to take a large number of mathematics courses – including advanced mathematics courses such as abstract algebra – as part of their initial teacher preparation program and/or their cont作者: antidote 時間: 2025-3-26 00:34
Berechnung des rechtwinkligen Dreiecks,f the abstract algebra of its day but whose place in the secondary curriculum is sometimes now questioned. We then consider the influence of the higher standpoint on the development of the algebra standards in the Common Core State Standards in Mathematics. We conclude with a discussion of the implications for teacher knowledge.作者: Sinus-Node 時間: 2025-3-26 05:52
Book 2018 abstract algebra – as part of their initial teacher preparation program and/or their continuing professional development. The content areas of advanced and secondary mathematics are closely connected. Yet, despite this connection many secondary teachers insist that such advanced mathematics is unre作者: Apogee 時間: 2025-3-26 12:15
Berechnung des rechtwinkligen Dreiecks,ese foundational issues. Finally, we propose that Sandoval’s notion of “conjecture mapping” can provide researchers with a research paradigm to focus simultaneously on what they want students to learn, how they think learning occurs, and whether their proposed instruction is effective.作者: Corral 時間: 2025-3-26 14:06
Building a Coherent Research Program that Links Abstract Algebra to Secondary Mathematics Pedagogy vese foundational issues. Finally, we propose that Sandoval’s notion of “conjecture mapping” can provide researchers with a research paradigm to focus simultaneously on what they want students to learn, how they think learning occurs, and whether their proposed instruction is effective.作者: 中子 時間: 2025-3-26 17:03 作者: 取回 時間: 2025-3-26 22:08
Making Mathematical Connections Between Abstract Algebra and Secondary Mathematics Explicit: Implicag goals for preservice secondary mathematics teachers (PSMTs), curricular goals for PSMTs, and the implications of these efforts that include calls both for further research and for addressing the professional development needs of faculty.作者: 含沙射影 時間: 2025-3-27 04:14
From Equations to Structures: Modes of Relevance of Abstract Algebra to School Mathematics as Viewedmathematics learned in the abstract algebra course to the school curriculum and teaching, exemplifies contribution of studies in the abstract algebra course at the level of specific content (i.e., algebra), and at the more general epistemological level of the nature of mathematics.作者: 專橫 時間: 2025-3-27 05:49
Excavating School Mathematicsf the abstract algebra of its day but whose place in the secondary curriculum is sometimes now questioned. We then consider the influence of the higher standpoint on the development of the algebra standards in the Common Core State Standards in Mathematics. We conclude with a discussion of the implications for teacher knowledge.作者: Stable-Angina 時間: 2025-3-27 10:59
Anwendungen des Sinus- und Kosinussatzes., the possible benefits of this bidirectional relationship in terms of supporting the development of preservice teachers’ mathematical knowledge for teaching. Then, we will critically consider whether such benefits are worthy of being intentionally pursued by teacher education programs and (if so) how they might be best realized.作者: 刪減 時間: 2025-3-27 15:12 作者: 集中營 時間: 2025-3-27 20:19
https://doi.org/10.1007/978-3-662-38242-4mathematics learned in the abstract algebra course to the school curriculum and teaching, exemplifies contribution of studies in the abstract algebra course at the level of specific content (i.e., algebra), and at the more general epistemological level of the nature of mathematics.作者: Musculoskeletal 時間: 2025-3-28 00:40
Anwendungen des Sinus- und Kosinussatzes.,their practices in the classroom and their student‘s outcomes. These efforts, and others, have considered the connection between school mathematics and the study of the abstract algebra structures they comprise.作者: Bone-Scan 時間: 2025-3-28 04:56
Anwendungen des Sinus- und Kosinussatzes.,s and inverses, defining groups, and identifying subgroups. We share results from both the multiple-choice inventory and follow-up interviews to illustrate some of these connections. We conclude with a discussion of implications for the abstract algebra classroom, with a focus on opportunities for b作者: LAY 時間: 2025-3-28 06:55 作者: Plaque 時間: 2025-3-28 11:29
Berechnung des rechtwinkligen Dreiecks,e: algebra of vectors, linear programming, vector spaces and subspaces, linear mappings, determinants, matrices and eigenvalues, algebraic structures, extensions, and homomorphisms. Enlivened with a number of illustrative, interesting, and creative examples of both content development and homework p作者: 總 時間: 2025-3-28 16:22
Berechnung des rechtwinkligen Dreiecks,cing symbolic form, noticing argument form, and connecting within and outside mathematics), Mathematical Reasoning (justifying/proving, reasoning when conjecturing and generalizing, and constraining and extending), and Mathematical Creating (representing, defining, and modifying/transforming/manipul作者: 健忘癥 時間: 2025-3-28 21:56 作者: inscribe 時間: 2025-3-29 00:28 作者: PHON 時間: 2025-3-29 03:32
https://doi.org/10.1007/978-3-662-36585-4a lens (integral domain) and the concept of factorization. We also describe how undergraduate mathematics students engage in mathematical tasks involving factorization of integers and polynomials and make structural sense of the relationship between the set of integers and the set of polynomials in 作者: 轉(zhuǎn)向 時間: 2025-3-29 09:59 作者: 北極人 時間: 2025-3-29 15:27 作者: 變量 時間: 2025-3-29 19:15 作者: miracle 時間: 2025-3-29 20:02 作者: GROUP 時間: 2025-3-30 02:58 作者: consent 時間: 2025-3-30 04:15 作者: 飾帶 時間: 2025-3-30 11:53
Using Geometric Habits of Mind to Connect Geometry from a Transformation Perspective to Graph Transfsecondary level and abstract algebra at the university level. These contexts are: (1) reconciling three definitions of congruence, (2) using transformations to understand conventions for defining families of functions and shapes, and (3) analyzing plane transformations of the plane in terms of linea作者: cliche 時間: 2025-3-30 14:18
Developing a Structural Perspective and Its Role in Connecting School Algebra and Abstract Algebra: a lens (integral domain) and the concept of factorization. We also describe how undergraduate mathematics students engage in mathematical tasks involving factorization of integers and polynomials and make structural sense of the relationship between the set of integers and the set of polynomials in 作者: 吞下 時間: 2025-3-30 20:12 作者: Basilar-Artery 時間: 2025-3-30 21:48 作者: 無價值 時間: 2025-3-31 02:04
2570-4729 cher preparation and professional development.?.Contributors to the book are scholars who have both experience in the mathematical preparation of secondary teachers, especially in relation to abstract algebra, 978-3-319-99214-3Series ISSN 2570-4729 Series E-ISSN 2570-4737 作者: 貪婪的人 時間: 2025-3-31 05:43
Exploring Advanced Mathematics Courses and Content for Secondary Mathematics Teachers, These have included Felix Klein‘s work as a mathematician—in which his synthesis of the study of geometry through abstract algebraic structures has proved influential on our approach to teaching secondary students geometry even today; his work as a mathematics teacher educator—famous for his observ作者: Pamphlet 時間: 2025-3-31 09:59 作者: 注視 時間: 2025-3-31 17:22 作者: venous-leak 時間: 2025-3-31 21:32
What Kind of Opportunities Do Abstract Algebra Courses Provide for Strengthening Future Teachers’ Maabstract algebra and preservice teacher education. A central idea of each chapter was the way that preservice teachers’ learning of abstract algebra could both reinforce and build on their knowledge of secondary mathematics. We focus our commentary primarily on this idea. First, we will characterize
