Letteratura scientifica selezionata sul tema "MATHEMATICS / Algebra / Elementary"

Cita una fonte nei formati APA, MLA, Chicago, Harvard e in molti altri stili

Scegli il tipo di fonte:

Consulta la lista di attuali articoli, libri, tesi, atti di convegni e altre fonti scientifiche attinenti al tema "MATHEMATICS / Algebra / Elementary".

Accanto a ogni fonte nell'elenco di riferimenti c'è un pulsante "Aggiungi alla bibliografia". Premilo e genereremo automaticamente la citazione bibliografica dell'opera scelta nello stile citazionale di cui hai bisogno: APA, MLA, Harvard, Chicago, Vancouver ecc.

Puoi anche scaricare il testo completo della pubblicazione scientifica nel formato .pdf e leggere online l'abstract (il sommario) dell'opera se è presente nei metadati.

Articoli di riviste sul tema "MATHEMATICS / Algebra / Elementary"

1

Parajuli, Krishna Kanta. "Elementary Algebra on Vedic Mathematics". Mathematics Education Forum Chitwan 6, n. 6 (31 dicembre 2021): 82–94. http://dx.doi.org/10.3126/mefc.v6i6.42410.

Testo completo
Abstract (sommario):
The South Asian region has a long history of discovering new ideas, ideologies, and technologies. Since the Vedic period, the land has been known as a fertile place for innovative discoveries. The Vedic technique used by Bharati Krishna Tirthaji is unique among South Asian studies. The focus of this study was mostly on algebraic topics, which are typically taught in our school level. The study also looked at how Vedic Mathematics solves issues of elementary algebra using Vedic techniques such as Paravartya Yojayet, Sunyam Samyasamuccaye, Anurupye Sunyamanyat, Antyayoreva and Lopanasthapanabhyam. The comparison and discussion of the Vedic with the conventional techniques indicate that the Vedic Mathematics and its five unique formulas are more beneficial and realistic to those learners who are experiencing problems with elementary level algebra utilizing conventional methods.
Gli stili APA, Harvard, Vancouver, ISO e altri
2

Mathieu, Martin. "Elementary operators on prime C*-algebras II". Glasgow Mathematical Journal 30, n. 3 (settembre 1988): 275–84. http://dx.doi.org/10.1017/s0017089500007369.

Testo completo
Abstract (sommario):
Compact elementary operators acting on the algebra ℒ(H) of all bounded operators on some Hilbert space H were characterised by Fong and Sourour in [9]. Akemann and Wright investigated compact and weakly compact derivations on C*-algebras [1], and also studied compactness properties of the sum and the product of the right and the left regular representation of an element in a C*-algebra [2]. They used the concept of a compact Banach algebra element due to Vala [17]: an element a in a Banach algebra A is called compact if the mapping x → axa is compact on A. This notion has been further investigated by Ylinen [18, 19, 20], who showed in particular that a is a compact element of the C*-algebra A if x ↦ axa is weakly compact on A [19].
Gli stili APA, Harvard, Vancouver, ISO e altri
3

Timoney, Richard M. "AN INTERNAL CHARACTERIZATION OF COMPLETE POSITIVITY FOR ELEMENTARY OPERATORS". Proceedings of the Edinburgh Mathematical Society 45, n. 2 (giugno 2002): 285–300. http://dx.doi.org/10.1017/s0013091500000687.

Testo completo
Abstract (sommario):
AbstractComplete positivity of ‘atomically extensible’ bounded linear operators between $C^*$-algebras is characterized in terms of positivity of a bilinear form on certain finite-rank operators. In the case of an elementary operator on a $C^*$-algebra, the approach leads us to characterize k-positivity of the operator in terms of positivity of a quadratic form on a subset of the dual space of the algebra and in terms of a certain inequality involving factorial states of finite type I.As an application we characterize those $C^*$-algebras where every k-positive elementary operator on the algebra is completely positive. They are either k-subhomogeneous or k-subhomogeneous by antiliminal. We also give a dual approach to the metric operator space introduced by Arveson.AMS 2000 Mathematics subject classification: Primary 46L05. Secondary 47B47; 47B65
Gli stili APA, Harvard, Vancouver, ISO e altri
4

Tasic, Milan, Predrag Stanimirovic, Ivan Stanimirovic, Marko Petkovic e Nebojsa Stojkovic. "Some useful MATHEMATICA teaching examples". Facta universitatis - series: Electronics and Energetics 18, n. 2 (2005): 329–44. http://dx.doi.org/10.2298/fuee0502329t.

Testo completo
Abstract (sommario):
We show how a computer algebra system in MATHEMATICA can be used in several elementary courses in mathematics for students. We have also developed an application in programming language DELPHI for testing students in MATHEMATICA.
Gli stili APA, Harvard, Vancouver, ISO e altri
5

Chrastina, Jan. "From elementary algebra to Bäcklund transformations". Czechoslovak Mathematical Journal 40, n. 2 (1990): 239–57. http://dx.doi.org/10.21136/cmj.1990.102378.

Testo completo
Gli stili APA, Harvard, Vancouver, ISO e altri
6

Bernau, S. J., e C. B. Huijsmans. "Almost f-algebras and d-algebras". Mathematical Proceedings of the Cambridge Philosophical Society 107, n. 2 (marzo 1990): 287–308. http://dx.doi.org/10.1017/s0305004100068560.

Testo completo
Abstract (sommario):
In this paper we study the classes of almost f-algebras and d-algebras. Apart from a survey of known properties we present some ‘new’ properties of almost f-algebras and d-algebras and we consider their connection with f-algebras. To be more precise, we show, among other things, in an elementary intrinsic manner, that every Archimedean almost f-algebra is commutative. This result is a considerable improvement upon the fact that every Archimedean f-algebra is commutative. Furthermore, we give a description of the set of nilpotent elements in both an Archimedean d-algebra and an Archimedean almost f-algebra.
Gli stili APA, Harvard, Vancouver, ISO e altri
7

Magajna, Bojan. "Uniform approximation by elementary operators". Proceedings of the Edinburgh Mathematical Society 52, n. 3 (23 settembre 2009): 731–49. http://dx.doi.org/10.1017/s0013091507001290.

Testo completo
Abstract (sommario):
AbstractOn a separable C*-algebra A every (completely) bounded map which preserves closed two-sided ideals can be approximated uniformly by elementary operators if and only if A is a finite direct sum of C*-algebras of continuous sections vanishing at ∞ of locally trivial C*-bundles of finite type.
Gli stili APA, Harvard, Vancouver, ISO e altri
8

Bains, R. "Elementary linear algebra". Engineering Analysis with Boundary Elements 9, n. 4 (gennaio 1992): 368. http://dx.doi.org/10.1016/0955-7997(92)90033-4.

Testo completo
Gli stili APA, Harvard, Vancouver, ISO e altri
9

Earnest, Darrell, e Aadina A. Balti. "Instructional Strategies for Teaching Algebra in Elementary School: Findings from a Research-Practice Collaboration". Teaching Children Mathematics 14, n. 9 (maggio 2008): 518–22. http://dx.doi.org/10.5951/tcm.14.9.0518.

Testo completo
Abstract (sommario):
Incorporating algebra into the elementary grades has become a focus for teachers, principals, and administrators around the country. Algebra is commonly regarded as a gateway to future opportunity (e.g., Moses and Cobb 2001), and elementary mathematics standards at both the state and national levels now reflect this effort to provide students with opportunities to learn critical concepts before middle and high school (California Department of Education 1997; NCTM 2000). However, implementing algebra standards at the elementary level is challenging—how do mathematics educators effectively and meaningfully incorporate algebraic ideas into K–5 curriculum? When elementary teachers are unfamiliar with early algebra, lessons designed and labeled as algebraic may become arithmetic exercises; the algebra then remains hidden from both the teacher and students in the implementation. The result is that the algebra standard is only superficially addressed.
Gli stili APA, Harvard, Vancouver, ISO e altri
10

LYAKHOVSKY, V. D., e M. E. SAMSONOV. "ELEMENTARY PARABOLIC TWIST". Journal of Algebra and Its Applications 01, n. 04 (dicembre 2002): 413–24. http://dx.doi.org/10.1142/s0219498802000306.

Testo completo
Abstract (sommario):
The twist deformations for simple Lie algebras [Formula: see text] whose twisting elements ℱ are known explicitly are usually defined on the carrier subspace injected in the Borel subalgebra [Formula: see text]. We consider the case where the carrier of the twist intersects nontrivially with both [Formula: see text] and [Formula: see text]. The main element of the new deformation is the parabolic twist ℱ℘ whose carrier is the minimal parabolic subalgebra of simple Lie algebra [Formula: see text]. It has the structure of the algebra of two-dimensional motions, contains [Formula: see text] and intersects nontrivially with [Formula: see text]. The twist ℱ℘ is constructed as a composition of the extended jordanian twist [Formula: see text] and the factor [Formula: see text]. The latter can be considered as a special deformed version of the jordanian twist. The twisted costructure is found for [Formula: see text] and the corresponding universal ℛ-matrix is presented. The parabolic twist can be composed with certain types of chains of extended jordanian twists for algebras A2(n-1). The chains enlarged by the parabolic factor ℱ℘ perform the explicit quantization of the new set of classical r-matrices.
Gli stili APA, Harvard, Vancouver, ISO e altri

Tesi sul tema "MATHEMATICS / Algebra / Elementary"

1

Kersaint, Gladis Swafford Jane. "Preservice elementary teachers' ability to generalize functional relationships the impact of two versions of a mathematics content course /". Normal, Ill. Illinois State University, 1998. http://wwwlib.umi.com/cr/ilstu/fullcit?p9835911.

Testo completo
Abstract (sommario):
Thesis (Ph. D.)--Illinois State University, 1998.
Title from title page screen, viewed July 5, 2006. Dissertation Committee: Jane O. Swafford (chair), John A. Dossey, Cheryl Hawker, Cynthia W. Langrall. Includes bibliographical references (leaves 142-158) and abstract. Also available in print.
Gli stili APA, Harvard, Vancouver, ISO e altri
2

Kaplan, Merve. "Pre-service Elementary Mathematics Teachers". Master's thesis, METU, 2010. http://etd.lib.metu.edu.tr/upload/12613176/index.pdf.

Testo completo
Abstract (sommario):
Mathematics education could and should benefit from technology in order to improve teaching and learning, particularly in topics where visualizations and connections to other concepts are needed. Handheld technologies such as graphing calculators can provide students with visualization, confirmation and exploration of problems and concepts they are learning. Handheld graphing technologies have been taken place widely in elementary and secondary level mathematics courses and considered to be beneficial in various means in mathematics education. Mathematics teachers have a crucial role in the use of GCs in mathematics classrooms. Therefore, pre-service teachers&rsquo
use of GCs and their views on the use of the tool in mathematics learning are considered to be valuable. The purpose of this study was to investigate the difficulties pre-service elementary mathematics teachers face, and the benefits and constraints they emphasize while learning elementary school algebra through using the Casio Classpad after receiving an instruction with graphing calculators. The graphing calculator used in the present study is the Casio Classpad 330, which is an evolved handheld device combining features of graphing calculators, dynamic geometry environment, computer algebra systems and more. The following two research problems guided the study: What are the difficulties do pre-service elementary mathematics teachers face while using Classpad in learning elementary school algebra after receiving an instruction with graphing calculators? What benefits and constraints do pre-service elementary mathematics teachers emphasize while learning elementary school algebra through using Classpad after receiving an instruction with graphing calculators? With the aim of investigating the views of a group of pre-service elementary mathematics teachers, qualitative research strategies were used. The data was collected and analyzed by means of a case study design. Classroom observations, a questionnaire, and focus group interviews were the main data sources of the existing study. The study was carried out with 21 pre-service elementary mathematics teachers. In the classroom studies elementary level algebra was taught to the participants with the use of Classpad as a main tool by giving one tool to each of the participants. Classroom observations ended in five weeks &ndash
20 courses &ndash
including one week of a training period. After the classroom observations, participants filled out a questionnaire including five open-ended questions about the classroom studies. Finally, data collection procedure was ended with three focus group interviews. The data was analyzed with qualitative means by transcribing and analyzing the observation records, answers of the questionnaire, and records of the three interviews. Results revealed that pre-service teachers&rsquo
view Classpad in three categories
as a personal tool, as an educational tool, and the relationship between CP and motivation. They viewed CP as a personal tool that they were eager to use the tool in every level of mathematics from elementary to mastering degrees. As an educational tool, they preferred to use the tool as a teacher by giving some cautions that teachers and students should be careful with. Lastly, they considered that the tool has a positive effect on motivation when used appropriately. Pre-service elementary mathematics teachers faced some difficulties in the beginning courses of the classroom studies which was their learning period of how to use CP and they overcome most of the difficulties at the end of the classroom studies. As the new elementary school level mathematics curriculum encourages the use of various technologies in teaching and learning of mathematics, the results of this study will have useful implications for mathematics teachers and curriculum developers.
Gli stili APA, Harvard, Vancouver, ISO e altri
3

Davis, Ann. "So I'm done because I'm confused now measuring metacognition in elementary algebra community college students /". Diss., Restricted to subscribing institutions, 2009. http://proquest.umi.com/pqdweb?did=2026651711&sid=4&Fmt=2&clientId=1564&RQT=309&VName=PQD.

Testo completo
Gli stili APA, Harvard, Vancouver, ISO e altri
4

Benitez, Dehlly Porras. "A learning guide to improve reading of mathematics : a case study with college remedial students in elementary algebra /". Access Digital Full Text version, 1987. http://pocketknowledge.tc.columbia.edu/home.php/bybib/10732275.

Testo completo
Gli stili APA, Harvard, Vancouver, ISO e altri
5

Afonso, Dominique Gabriala. "The development of algebraic thinking in the foundation phase: a comparative study of two different curricula". Thesis, Cape Peninsula University of Technology, 2019. http://hdl.handle.net/20.500.11838/2864.

Testo completo
Abstract (sommario):
Thesis (MEd)--Cape Peninsula University of Technology, 2019.
The mathematics results in South Africa are alarmingly low, with a number of high school learners unable to compute basic operations. International test results show South Africa consistently ranks low in comparison to other countries whilst Singapore continues to perform well. Some schools in South Africa have decided to adopt the Singaporean method of teaching mathematics, known as Singapore Maths, in the hope of improving learner results. This study seeks to understand how two different curricula, South African and Singapore, provide opportunity for the development of algebraic thinking in the Foundation Phase. There is ongoing research which suggests a link between algebraic thinking (Early Algebra) and a deeper conceptual understanding of mathematics (Blanton & Kaput, 2003). This study comprises a qualitative case study of two schools using different curricula and textbooks to teach algebraic thinking with a special focus on patterns and functional thinking. Data were gathered using document analysis of curriculum and textbooks; learner tests; semi structured interviews with class teachers and focus group interviews with Grade 3 learners from each curriculum group. The analysis process involved pattern matching and building explanations related to each data collection instrument using Blanton, Brizuela, Gardiner, Sawrey and Newman-Owen’s (2015) levels of sophistication in learner’s thinking about functional relationships. The results of the study suggest that although South African learners have the potential to think algebraically, they are not, however, always offered the opportunities to do so. The importance of suitable mathematical activities and scaffolding is highlighted and the critical need for professional development for teachers in which the importance of Early Algebra is defined and explained. It is imperative that the curriculum and textbooks activities are relooked at to address the development of algebraic thinking in the early grades and shift the focus from an emphasis on arithmetic relationships to thinking in generalised ways about functional relationships.
Gli stili APA, Harvard, Vancouver, ISO e altri
6

Ledbetter, Lissa S. "A Qualitative Content Analysis of Early Algebra Education iOS Apps for Primary Children". Scholar Commons, 2017. http://scholarcommons.usf.edu/etd/6884.

Testo completo
Abstract (sommario):
Educational software applications (apps) on multi-touch, mobile devices provide a promising space to help learners work toward long-term educational goals, like learning with understanding (Bransford, Brown, & Cocking, 2000). Such goals are particularly relevant in supporting a learner’s efforts to become more mathematically literate. Yet, a number of current apps do not appear to be living up to this potential. As such, this study drew upon the theoretical framework of Learning Science and the conceptual framework of TPACK theory (Mishra & Koehler, 2006) to define curricular characteristics that ideally support primary children’s potential to learn early algebra concepts with understanding, through multi-touch, mobile, iOS mathematics education apps. Using qualitative content analysis these characteristics, then, were compared to the curricular characteristics of three authentic (i.e., real-world) apps in order to describe the general extent to which the two sets of characteristics aligned. This study found the authentic apps did not align with the majority of curricular characteristics that ideally support learning with understanding. Additionally, a number of qualitative findings emerged from the study that may be used to inform future app design. These ideas include themes related to the kinds of characteristics the authentic apps tended to align with or not, and suggested adaptations to a number of contemporary theories and models related to pedagogical content knowledge and its application toward the goal of learning with understanding. These findings have direct implications for the theory and practice of app design, and suggest revisions to the way in which the field of instructional design, historically, has been approached.
Gli stili APA, Harvard, Vancouver, ISO e altri
7

Kahn, Eric B. "THE GENERALIZED BURNSIDE AND REPRESENTATION RINGS". UKnowledge, 2009. http://uknowledge.uky.edu/gradschool_diss/707.

Testo completo
Abstract (sommario):
Making use of linear and homological algebra techniques we study the linearization map between the generalized Burnside and rational representation rings of a group G. For groups G and H, the generalized Burnside ring is the Grothendieck construction of the semiring of G × H-sets with a free H-action. The generalized representation ring is the Grothendieck construction of the semiring of rational G×H-modules that are free as rational H-modules. The canonical map between these two rings mapping the isomorphism class of a G-set X to the class of its permutation module is known as the linearization map. For p a prime number and H the unique group of order p, we describe the generators of the kernel of this map in the cases where G is an elementary abelian p-group or a cyclic p-group. In addition we introduce the methods needed to study the Bredon homology theory of a G-CW-complex with coefficients coming from the classical Burnside ring.
Gli stili APA, Harvard, Vancouver, ISO e altri
8

Howard, Nicol R. "The Influences of Mathematics Self-Efficacy, Identity, Interest, and Parental Involvement on STEM Achievement in Algebra for Female High School Students". Chapman University Digital Commons, 2015. http://digitalcommons.chapman.edu/ces_dissertations/2.

Testo completo
Abstract (sommario):
The purpose of this study was to determine the predictability of STEM achievement in Algebra for female high school students utilizing mathematics self-efficacy, mathematics interest, mathematics identity, and parental involvement. This study employed data from the High School Longitudinal Study of 2009 (HSLS:09/12) which consisted of 3,938 female eleventh-grade participants randomly selected from 944 public and private high schools during the fall 2009 academic year. The results of a hierarchical multiple regression indicated that mathematics identity was the strongest predictor of STEM achievement for female high school students, regardless of race. In spite of this significant relationship, STEM achievement outcomes are impacted by numerous factors. Further explorations of these factors are needed to provide a more accurate model to predict female high school student achievement in STEM.
Gli stili APA, Harvard, Vancouver, ISO e altri
9

Figueiredo, Auriluci de Carvalho. "Saberes e concepções de educação algébrica em um curso de licenciatura em matemática". Pontifícia Universidade Católica de São Paulo, 2007. https://tede2.pucsp.br/handle/handle/11255.

Testo completo
Abstract (sommario):
Made available in DSpace on 2016-04-27T16:58:27Z (GMT). No. of bitstreams: 1 Auriluci de Carvalho Figueiredo.pdf: 2619499 bytes, checksum: 2241abfdd5ba4c51913e0a7fd05a58bd (MD5) Previous issue date: 2007-10-29
Centro Federal de Educação Tecnológica de São Paulo
Investigations have shown that difficulties experienced by students when dealing with topics of Algebra, across a range of schooling levels, may be rooted in certain conceptions of Algebra Education, either their own or those held by their teachers. These conceptions provide the basis for knowings held by teachers and students in Teaching Degree programs in Mathematics. Given the relevance of this link, the purpose of the present study was to identify knowings and conceptions related to Algebra Education deployed by teachers and students in a Teaching Degree program in Mathematics. To this end, a case study was conducted employing an ethnographic approach at a university located in the state of São Paulo, Brazil. The categorizations developed by Lee and Fiorentini et al. were the primary theoretical framework adopted to identify conceptions held by students and teachers in the program. The teaching-related knowings were analyzed based on two approaches: according to Tardif s perspective, in which the notion of knowing has a wider scope that encompasses, among other aspects, attitudes of professionals; and according to Shulman s perspective, which allows for identification of a repertoire of knowledge held by teachers related to mathematical contents, of which the elementary Algebra topics were our focus of interest. Data were collected from selected documents and by interviewing three 1st-year and five 2nd-year students along with four teachers, one of whom also acted as program coordinator. The Structural-fundamentalist conception (defined by Fiorentini et al.) proved predominant among the teachers, as did Algebra as Language (defined by Lee). Among students, the Linguistic-pragmatic conception (by Fiorentini et al.) and that of Generalized Arithmetic (by Lee) predominated. The investigation enabled identification of a potential for broadening knowings related to the teaching of elementary Algebra topics and linked to Algebra Education. Given that teachers and students lack knowings related to pedagogical, curricular, or content knowledge (defined by Shulman) needed for teaching elementary Algebra topics, across various schooling levels, the participants investigated generate some of the very difficulties they face. If the teachers and students interviewed are to overcome their current situation, they will need at least to enlarge their repertoire of knowings and concurrently examine a range of conceptions of Algebra and Algebra Education not only those available in the literature, but also those held by them. It is the author s belief that further studies involving the school community and carried out under the auspices of an institutional project represent a direction for future investigation. To this end, the present study provides a valuable contribution to the area
Pesquisas indicam que as dificuldades que estudantes vivenciam com tópicos de Álgebra, nos diversos segmentos de ensino, podem advir de determinadas concepções de Educação Algébrica, tanto próprias quanto de seus professores. Essas concepções são subjacentes a saberes de atores de cursos de Licenciatura em Matemática. Pela relevância de tal entrecruzamento, este estudo teve como objetivo detectar que saberes e que concepções de Educação Algébrica estão sendo mobilizados por atores de um curso de Licenciatura em Matemática. Para tanto realizamos um estudo de caso de natureza etnográfica em uma universidade localizada no estado de São Paulo. Para identificar as concepções dos atores desse curso, tomamos como principais referenciais teóricos as categorizações elaboradas por Lee e por Fiorentini et al. Os saberes docentes foram analisados a partir de dois enfoques: sob a ótica de Tardif, segundo a qual a noção de saber tem um sentido amplo que engloba, entre outros aspectos, as atitudes dos profissionais, e sob a ótica de Shulman, que permite identificar um repertório de conhecimento do professor ligado ao conteúdo matemático, no qual destacamos os tópicos algébricos elementares. As informações necessárias à investigação foram obtidas da análise de documentos selecionados e entrevistando-se três alunos de 1.o ano, cinco de 2.o e quatro professores, um dos quais era também o coordenador do curso. As concepções predominantes entre os professores entrevistados foram a Fundamentalista-estrutural (de Fiorentini et al.) e a de Álgebra como Linguagem (de Lee). Entre os alunos, predominaram as concepções Lingüístico-pragmática (de Fiorentini et al.) e de Aritmética Generalizada (de Lee). Esta investigação permitiu-nos vislumbrar a possibilidade de ampliação de saberes relativos ao ensino de tópicos algébricos elementares, que se vinculam a concepções de Educação Algébrica. Por sequer possuírem saberes relacionados aos conhecimentos pedagógicos, curriculares e de conteúdo (de Shulman) necessários à docência de tópicos elementares nos diversos segmentos de ensino, os atores do curso investigado geram algumas das dificuldades experimentadas. Para que esses atores ultrapassem essa condição, precisam, no mínimo, ampliar o repertório de seus saberes, ao mesmo tempo em que examinam concepções de Álgebra e de Educação Algébrica as da literatura e as próprias. Cremos que estudos envolvendo a comunidade escolar desenvolvidos pelo impulso de um projeto institucional possam concretizar tal proposta de investigação futura. Nesse sentido, o presente estudo pode oferecer sua contribuição
Gli stili APA, Harvard, Vancouver, ISO e altri
10

Lima, José Roberto de Campos. "Pensamento algébrico no currículo do ciclo de alfabetização: estudo comparativo de duas propostas". Pontifícia Universidade Católica de São Paulo, 2018. https://tede2.pucsp.br/handle/handle/21287.

Testo completo
Abstract (sommario):
Submitted by Filipe dos Santos (fsantos@pucsp.br) on 2018-07-30T12:24:34Z No. of bitstreams: 1 José Roberto de Campos Lima.pdf: 798464 bytes, checksum: 390e74f72d58fa99f1dec2d73f258409 (MD5)
Made available in DSpace on 2018-07-30T12:24:34Z (GMT). No. of bitstreams: 1 José Roberto de Campos Lima.pdf: 798464 bytes, checksum: 390e74f72d58fa99f1dec2d73f258409 (MD5) Previous issue date: 2018-04-09
In this paper, we present a qualitative research guided by the goal of investigating what the approach given to algebraic thinking in the prescribed curriculum of literacy cycle, which refers to the first three years of elementary school (children from 6 to 8 years old) of two proposals. To this end, we seek to characterize elements of algebraic thinking implicit or explicit in two documents, one of the federal sphere, the National Curricular Common Base (NCCB), and other of the state sphere, the Math Curriculum Guidelines for the Early Years (MCGEY). The NCCB was chosen because it is a document in the implementation phase, which every Brazilian education networks have as a reference for the elaboration of their own curriculum and, in the case of MCGEY, the state of São Paulo has the largest number of enrolments in literacy cycle. In addition, its curriculum is used by a large number of municipalities in the state. Thus, we decided to perform a documental analysis, in which the data collection occurred through content analysis, according to Bardin. We used the usual analytical techniques divided into three phases: pre-analysis, exploration of the material and processing of results, in which, through a “floating reading”, we refined the content until we get a material that met our goal. After this reading, investing in the observation, we established three categories for analysis, one that observes the structure with which the documents were elaborated; another to examine evidences of approach given to the algebraic thinking in different axes or thematic units of math; and, finally, the conceptual, which points to possible concepts involving algebraic thinking, either explicitly or implicitly. By analying the documents, in the NCCB, we identified a conceptual approach to the research area called Early Algebra, which has as its premise the possibility of developing algebraic thinking since the early years of schooling and not just from the final years of primary school, as Lins and Gimenez already pointed out. In MCGEY, we have evidences that can lead to the development of algebraic thinking, but in an implicity way, so this kind of mathematical thinking is hardly mentioned. The algebraic thinking in the literacy cycle is presented as identification, understanding of patterns and regularities in various contexts that can be generalized, without the need for a symbolic algebraic language. Therefore, it was necessary to understand how algebra interacts with other subareas of mathematics. We consider that it is very important to understand the development of algebraic thinking in the prescribed curriculum, both for initial and continuing training of teachers and for the preparation of materials and curricular structures, as well as a possibility that contributes to the mathematical training of students
Neste trabalho, apresentamos uma pesquisa qualitativa norteada pelo objetivo de investigar qual a abordagem dada ao pensamento algébrico no currículo prescrito do ciclo de alfabetização, que se refere aos três primeiros anos de escolaridade do ensino fundamental, ou seja, crianças de 6 a 8 anos, de duas propostas. Para tanto, buscamos elementos caracterizadores do pensamento algébrico de forma implícita ou explícita em dois documentos, sendo um da esfera federal, a Base Nacional Curricular Comum (BNCC), e o outro da esfera estadual, as Orientações Curriculares de Matemática para os Anos Iniciais (OCMAI). A escolha da BNCC se dá por esse ser um documento em fase de implementação, o qual todas as redes de ensino brasileiras têm como referência para elaboração de seus próprios currículos e, no caso do OCMAI, pelo fato de o estado de São Paulo ter o maior número de matrículas no ciclo de alfabetização. Além disso, seu currículo é utilizado por um grande número de municípios do estado. Assim, optamos por realizar uma análise documental, na qual a coleta de dados ocorreu por meio da análise de conteúdo, segundo Bardin. Empregamos as usuais técnicas de análise divididas em três fases: pré-análise, exploração do material e tratamento dos resultados, sendo que, por meio de uma leitura flutuante, refinamos o conteúdo até obtermos um material que atendesse ao nosso objetivo. Após essa leitura, investindo na observação, estabelecemos três categorias para análise, uma que observasse a estrutura com a qual os documentos foram elaborados; outra que analisasse indícios de abordagem dada ao pensamento algébrico nos diferentes eixos ou unidades temáticas da Matemática; e, por último, a conceitual, que aponta para possíveis conceitos que envolvam o pensamento algébrico, seja de forma explícita ou implícita. Ao analisarmos os documentos, identificamos, na BNCC, uma aproximação conceitual à denominada área de pesquisa Early Algebra, que tem como premissa a possibilidade do desenvolvimento do pensamento algébrico desde os primeiros anos de escolaridade e não apenas a partir dos anos finais do ensino fundamental, como já apontavam Lins e Gimenez. Nas OCMAI, temos indícios que podem conduzir ao desenvolvimento do pensamento algébrico, mas de modo implícito, sendo pouco citada essa forma de pensamento matemático. O pensamento algébrico no ciclo de alfabetização é apontado como identificação, compreensão de padrões e regularidades em diversos contextos que possam ser generalizados, sem a necessidade de uma linguagem simbólica algébrica. Sendo assim, fez-se necessário compreender como a Álgebra interage com as demais subáreas da matemática. Consideramos de grande importância a compreensão do desenvolvimento do pensamento algébrico no currículo prescrito, tanto para formação inicial e continuada de professores como para elaboração de materiais e estruturas curriculares, além de ser essa uma possibilidade que contribui para a formação matemática dos estudantes
Gli stili APA, Harvard, Vancouver, ISO e altri

Libri sul tema "MATHEMATICS / Algebra / Elementary"

1

Tom, Carson. Elementary algebra. 3a ed. Boston: Pearson Education, 2011.

Cerca il testo completo
Gli stili APA, Harvard, Vancouver, ISO e altri
2

Barnett, Raymond A. Mathematics, elementary algebra 2000. [New York]: McGraw-Hill Primis, 2000.

Cerca il testo completo
Gli stili APA, Harvard, Vancouver, ISO e altri
3

Barnett, Raymond A. Mathematics, elementary algebra 2000. [New York]: McGraw-Hill Primis, 2000.

Cerca il testo completo
Gli stili APA, Harvard, Vancouver, ISO e altri
4

P, Hostetler Robert, e Heyd David E, a cura di. Elementary algebra. Lexington, Mass: D.C. Heath and Co., 1992.

Cerca il testo completo
Gli stili APA, Harvard, Vancouver, ISO e altri
5

Ron, Larson. Elementary algebra. 3a ed. Boston: Houghton Mifflin, 2001.

Cerca il testo completo
Gli stili APA, Harvard, Vancouver, ISO e altri
6

Barker, Jack. Elementary algebra. 2a ed. Fort Worth: Saunders College Pub., 1992.

Cerca il testo completo
Gli stili APA, Harvard, Vancouver, ISO e altri
7

Ron, Larson. Elementary algebra. 4a ed. Boston: Houghton Mifflin Co., 2005.

Cerca il testo completo
Gli stili APA, Harvard, Vancouver, ISO e altri
8

Barker, Jack. Elementary algebra. 2a ed. Fort Worth: Saunders College Pub., 1992.

Cerca il testo completo
Gli stili APA, Harvard, Vancouver, ISO e altri
9

P, Hostetler Robert, a cura di. Elementary algebra. 2a ed. Lexington, Mass: D.C. Heath, 1996.

Cerca il testo completo
Gli stili APA, Harvard, Vancouver, ISO e altri
10

Tom, Carson. Elementary & intermediate algebra. 3a ed. Boston: Pearson Education, 2011.

Cerca il testo completo
Gli stili APA, Harvard, Vancouver, ISO e altri

Capitoli di libri sul tema "MATHEMATICS / Algebra / Elementary"

1

Mignotte, Maurice. "Elementary Arithmetics". In Mathematics for Computer Algebra, 1–52. New York, NY: Springer New York, 1992. http://dx.doi.org/10.1007/978-1-4613-9171-5_1.

Testo completo
Gli stili APA, Harvard, Vancouver, ISO e altri
2

Holden, K., e A. W. Pearson. "Elementary Matrix Algebra". In Introductory Mathematics for Economics and Business, 43–91. London: Macmillan Education UK, 1992. http://dx.doi.org/10.1007/978-1-349-22357-2_2.

Testo completo
Gli stili APA, Harvard, Vancouver, ISO e altri
3

Serre, Denis. "Elementary Linear and Multilinear Algebra". In Graduate Texts in Mathematics, 1–14. New York, NY: Springer New York, 2010. http://dx.doi.org/10.1007/978-1-4419-7683-3_1.

Testo completo
Gli stili APA, Harvard, Vancouver, ISO e altri
4

Cooperman, Gene, e George Havas. "Elementary algebra revisited: Randomized algorithms". In DIMACS Series in Discrete Mathematics and Theoretical Computer Science, 37–44. Providence, Rhode Island: American Mathematical Society, 1998. http://dx.doi.org/10.1090/dimacs/043/03.

Testo completo
Gli stili APA, Harvard, Vancouver, ISO e altri
5

Watanabe, Tad. "Shiki: A Critical Foundation for School Algebra in Japanese Elementary School Mathematics". In Early Algebraization, 109–24. Berlin, Heidelberg: Springer Berlin Heidelberg, 2011. http://dx.doi.org/10.1007/978-3-642-17735-4_7.

Testo completo
Gli stili APA, Harvard, Vancouver, ISO e altri
6

Grugeon-Allys, Brigitte, Françoise Chenevotot-Quentin, Julia Pilet e Dominique Prévit. "Online Automated Assessment and Student Learning: The PEPITE Project in Elementary Algebra". In Uses of Technology in Primary and Secondary Mathematics Education, 245–66. Cham: Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-76575-4_13.

Testo completo
Gli stili APA, Harvard, Vancouver, ISO e altri
7

Beutelspacher, Albrecht, Rainer Danckwerts, Gregor Nickel, Susanne Spies e Gabriele Wickel. "Elementare Geometrie und Algebra". In Mathematik Neu Denken, 111–47. Wiesbaden: Vieweg+Teubner Verlag, 2011. http://dx.doi.org/10.1007/978-3-8348-8250-9_7.

Testo completo
Gli stili APA, Harvard, Vancouver, ISO e altri
8

Hilgert, Joachim, e Karl-Hermann Neeb. "Elementary Structure Theory of Lie Algebras". In Springer Monographs in Mathematics, 79–132. New York, NY: Springer New York, 2012. http://dx.doi.org/10.1007/978-0-387-84794-8_5.

Testo completo
Gli stili APA, Harvard, Vancouver, ISO e altri
9

Lemmermeyer, Franz. "Elementare Geometrie". In Mathematik à la Carte – Babylonische Algebra, 27–48. Berlin, Heidelberg: Springer Berlin Heidelberg, 2022. http://dx.doi.org/10.1007/978-3-662-66287-8_3.

Testo completo
Gli stili APA, Harvard, Vancouver, ISO e altri
10

Mathai, Arak M., Serge B. Provost e Hans J. Haubold. "Mathematical Preliminaries". In Multivariate Statistical Analysis in the Real and Complex Domains, 1–56. Cham: Springer International Publishing, 2022. http://dx.doi.org/10.1007/978-3-030-95864-0_1.

Testo completo
Abstract (sommario):
AbstractIt is assumed that the reader has had adequate exposure to basic concepts in Probability, Statistics, Calculus and Linear Algebra. This chapter provides a brief review of the results that will be needed in the remainder of this book. No detailed discussion of these topics will be attempted. For essential materials in these areas, the reader is, for instance, referred to Mathai and Haubold (2017a, 2017b). Some properties of vectors, matrices, determinants, Jacobians and wedge product of differentials to be utilized later on, are included in the present chapter. For the sake of completeness, we initially provide some elementary definitions. First, the concepts of vectors, matrices and determinants are introduced.
Gli stili APA, Harvard, Vancouver, ISO e altri

Atti di convegni sul tema "MATHEMATICS / Algebra / Elementary"

1

Syarifuddin, Hendra, e Mr I Made Arnawa. "Development of Electronic Learning Tools to Improve the Quality of Elementary Linear Algebra Course". In University of Muhammadiyah Malang's 1st International Conference of Mathematics Education (INCOMED 2017). Paris, France: Atlantis Press, 2018. http://dx.doi.org/10.2991/incomed-17.2018.10.

Testo completo
Gli stili APA, Harvard, Vancouver, ISO e altri
2

Mihajlov Carević, Miroslava, Milena J. Petrović e Nebojša Denić. "MODERN TEACHING TECHNOLOGIES AND DEVELOPING CONSTRUCTIVE THINKING". In 4th International Scientific Conference – EMAN 2020 – Economics and Management: How to Cope With Disrupted Times. Association of Economists and Managers of the Balkans, Belgrade, Serbia, 2020. http://dx.doi.org/10.31410/eman.s.p.2020.147.

Testo completo
Abstract (sommario):
Numerous researches in the previous period have shown the effectiveness of mathematical learning with the use of information and communication technologies (ICT) and mathematical software packages. Also, through theoretical studies and research results, the quality of mathematics teaching in schools was examined. The results of the research of the authors of this paper showed the lack of a visual-logical approach in solving mathematical problems. Primary and secondary school students are primarily trained in mastering formulas and algebraic procedures that help them solve a given task. In order to develop the ability to perceive lawfulness and logical thinking, we organized introducing elementary and secondary school students to figurative numbers and selected examples that demonstrate the observation of lawfulness among numbers. We applied work in collaborative groups using computers and GeoGebra software. The results showed the students’ ability to perceive lawfulness and to successfully solve tasks by applying the observed lawfulness. They also confirmed the effectiveness of mathematical learning with the use of computers, mathematical software and working in collaborative groups.
Gli stili APA, Harvard, Vancouver, ISO e altri
3

Scharfenberger, Adam, e Leah M. Frazee. "Elementary Algebraic thinking with patterns in two variables". In 42nd Meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education. PMENA, 2020. http://dx.doi.org/10.51272/pmena.42.2020-46.

Testo completo
Gli stili APA, Harvard, Vancouver, ISO e altri
4

Murni, Dewi, e Helma. "Validity and practicality of elementary linear algebra teaching materials based REACT to improve mathematical communication and problem solving skill". In THE PHYSICS OF SURFACES: Aspects of the Kinetics and Dynamics of Surface Reaction. AIP, 2023. http://dx.doi.org/10.1063/5.0122457.

Testo completo
Gli stili APA, Harvard, Vancouver, ISO e altri
5

Kara, Melike, e Kimberly Corum. "Pre-service elementary education teachers’ solutions for word problems: Using strip diagram vs. algebraic approach". In 42nd Meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education. PMENA, 2020. http://dx.doi.org/10.51272/pmena.42.2020-277.

Testo completo
Gli stili APA, Harvard, Vancouver, ISO e altri
6

Sukmawati, Ati, Akbar Sutawidjaja e Tatag Siswono. "Algebraic Thinking of Elementary Students in Solving Mathematical Word Problems: Case of Male Field Dependent and Independent Student". In International Conference on Teacher Training and Education 2018 (ICTTE 2018). Paris, France: Atlantis Press, 2018. http://dx.doi.org/10.2991/ictte-18.2018.20.

Testo completo
Gli stili APA, Harvard, Vancouver, ISO e altri
7

Farley, Jove S., e Osama M. Ibrahim. "Design Analysis of the Stirling Engine Using an Equation Solver". In ASME 1998 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 1998. http://dx.doi.org/10.1115/imece1998-0657.

Testo completo
Abstract (sommario):
Abstract A typical undergraduate course in thermal-fluids design sees the unfolding of important concepts in heat transfer, thermodynamics, and fluid mechanics and associated governing laws. Unfortunately, up until the recent past students have largely been asked to study fundamental, but often elusive, topics in these areas by means of simplified problems mostly resulting in the solution of elementary sets of algebraic equations. More complex problems involving higher order equations and ordinary differential equations are left unexamined, due mostly to the time consumption and difficulty level of programming, which may detract from the scope of the class. Fortunately, there now exists prewritten software (i.e. EES, Matlab, Mathematica, etc.) which numerically allows students to solve more challenging problems with relative ease. Thus allowing thermal-fluids design courses to focus on more challenging projects. This paper illustrates the use of a program, written for an equation solving software package that solves the ordinary differential equations governing the processes of the Stirling engine. Stirling engines, their history and present applications along with the methods EES software uses to allow for the engine’s study is briefly described. A step by step development of the general equations concerning mass, energy, entropy balances, and the Nusselt number for approximating the heat transfer coefficient is given and discussed. Results are shown through plotting numerical solutions of various points of interest. Lastly, a list of the program’s equations will be supplied in an appendix at the end of the paper.
Gli stili APA, Harvard, Vancouver, ISO e altri

Rapporti di organizzazioni sul tema "MATHEMATICS / Algebra / Elementary"

1

Schoen, Robert C., Daniel Anderson e Charity Bauduin. Elementary Mathematics Student Assessment: Measuring Grade 3, 4, and 5 Students’ Performace in Number (Whole Numbers and Fractions), Operations, and Algebraic Thinking in Spring 2016. Florida State University Library, maggio 2018. http://dx.doi.org/10.33009/fsu.1653497279.

Testo completo
Abstract (sommario):
This report provides a description of the development process, field testing, and psychometric properties of a student mathematics test designed to assess grades 3, 4, and 5 student abilities. The test was administered to 2,754 participating grade 3, 4, and 5 students in 55 schools located in 10 public school districts in Florida during spring 2016. Focused on number (including whole number and fractions), operations, and algebraic thinking, the student assessment was designed to serve as a baseline measure of student achievement in a randomized controlled trial evaluating the impact of a teacher professional development program called Cognitively Guided Instruction (CGI) on student learning.
Gli stili APA, Harvard, Vancouver, ISO e altri
2

Schoen, Robert C., Daniel Anderson, Claire M. Riddell e Charity Bauduin. Elementary Mathematics Student Assessment: Measuring the Performance of Grade 3, 4 and 5 Students in Number (Whole Numbers and Fractions), Operations, and Algebraic Thinking in Fall 2015. Florida State University Libraries, maggio 2018. http://dx.doi.org/10.33009/fsu.1581609234.

Testo completo
Gli stili APA, Harvard, Vancouver, ISO e altri
3

Schoen, Robert, Charity Buntin, Ahmet Guven e Xiaotong Yang. Elementary mathematics student assessment: Measuring the performance of grade K, 1, 2, and 3 students in number (whole numbers and fractions), operations, and algebraic thinking in spring 2019. Florida State University Libraries, marzo 2021. http://dx.doi.org/10.33009/fsu-1622059548.

Testo completo
Gli stili APA, Harvard, Vancouver, ISO e altri
Offriamo sconti su tutti i piani premium per gli autori le cui opere sono incluse in raccolte letterarie tematiche. Contattaci per ottenere un codice promozionale unico!

Vai alla bibliografia