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Dissertations / Theses on the topic 'Numbers, Rational'

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Published: 4 June 2021

Last updated: 26 July 2024

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1

Ketkar, Pallavi S. (Pallavi Subhash). "Primitive Substitutive Numbers are Closed under Rational Multiplication." Thesis, University of North Texas, 1998. https://digital.library.unt.edu/ark:/67531/metadc278637/.

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Lehr (1991) proved that, if M(q, r) denotes the set of real numbers whose expansion in base-r is q-automatic i.e., is recognized by an automaton A = (Aq, Ar, ao, δ, φ) (or is the image under a letter to letter morphism of a fixed point of a substitution of constant length q) then M(q, r) is closed under addition and rational multiplication. Similarly if we let M(r) denote the set of real numbers α whose base-r digit expansion is ultimately primitive substitutive, i.e., contains a tail which is the image (under a letter to letter morphism) of a fixed point of a primitive substitution then in an

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2

Coward, Daniel R. "Sums of two rational cubes." Thesis, University of Oxford, 1996. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.320587.

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3

Brown, Bruce John Lindsay. "The initial grounding of rational numbers : an investigation." Thesis, Rhodes University, 2007. http://hdl.handle.net/10962/d1006351.

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This small scale exploratory research project investigated the grounding of rational number concepts in informal, everyday life situations. A qualitative approach was taken to allow for the identification and then in depth investigation, of issues of importance for such a grounding of rational number understanding. The methodology followed could be seen as a combination of grounded theory and developmental research. And the data was generated through in-depth and clinical interviews structured around a number of grounded tasks related to rational numbers. The research comprised three cycles of

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4

Shaughnessy, John F. "Finding Zeros of Rational Quadratic Forms." Scholarship @ Claremont, 2014. http://scholarship.claremont.edu/cmc_theses/849.

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In this thesis, we introduce the notion of quadratic forms and provide motivation for their study. We begin by discussing Diophantine equations, the field of p-adic numbers, and the Hasse-Minkowski Theorem that allows us to use p-adic analysis determine whether a quadratic form has a rational root. We then discuss search bounds and state Cassels' Theorem for small-height zeros of rational quadratic forms. We end with a proof of Cassels' Theorem and suggestions for further reading.

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Lozier, Stephane. "On simultaneous approximation to a real number and its cube by rational numbers." Thesis, University of Ottawa (Canada), 2010. http://hdl.handle.net/10393/28701.

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One of the fundamental problems in Diophantine approximation is approximation to real numbers by algebraic numbers of bounded degree. In 1969, H. Davenport and W. M. Schmidt developed a new method to approach the problem. This method combines a result on simultaneous approximation to successive powers of a real number xi with geometry of numbers. For now, the only case where the estimates are optimal is the case of two consecutive powers. Davenport and Schmidt show that if a real number xi is such that 1, xi, xi² are linearly independent over Q , then the exponent of simultaneous approx

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6

Millsaps, Gayle M. "Interrelationships between teachers' content knowledge of rational number, their instructional practice, and students' emergent conceptual knowledge of rational number." Connect to resource, 2005. http://rave.ohiolink.edu/etdc/view?acc%5Fnum=osu1124225634.

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Thesis (Ph. D.)--Ohio State University, 2005.<br>Title from first page of PDF file. Document formatted into pages; contains xviii, 339 p.; also includes graphics (some col.). Includes bibliographical references (p. 296-306). Available online via OhioLINK's ETD Center

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7

Carbone, Rose Elaine. "Elementary Teacher Candidates’ Understanding of Rational Numbers: An International Perspective." Saechsische Landesbibliothek- Staats- und Universitaetsbibliothek Dresden, 2012. http://nbn-resolving.de/urn:nbn:de:bsz:14-qucosa-79565.

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This paper combines data from two different international research studies that used problem posing in analyzing elementary teacher candidates’ understanding of rational numbers. In 2007, a mathematics educator from the United States and a mathematician from Northern Ireland collaborated to investigate their respective elementary teacher candidates’ understanding of addition and division of fractions. A year later, the same US mathematics educator collaborated with a mathematics educator from South Africa on a similar research project that focused solely on the addition of fractions. The resul

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8

Clark, David Alan. "The Euclidean algorithm for Galois extensions of the rational numbers." Thesis, McGill University, 1992. http://digitool.Library.McGill.CA:80/R/?func=dbin-jump-full&object_id=39408.

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Let K be a totally real, quartic, Galois extension of $ doubq$ whose ring of integers R is a principal ideal domain. If there is a prime ideal p of R such that the unit group maps onto $(R/{ bf p} sp2$)*, then R is a Euclidean domain. This criterion is generalized to arbitrary Galois extensions.<br>Let E be an elliptic curve over a number field F. Suppose ($F: doubq rbrack le 4$ and $F(E lbrack q rbrack ) not subseteq F$ for all primes q such that F contains a primitive $q sp{ rm th}$ root of unity, then the reduced elliptic curve $ tilde{E}(F sb{ bf p})$ is cyclic infinitely often. In general

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9

Bruyns, P. "Aspects of the group of homeomorphisms of the rational numbers." Thesis, University of Oxford, 1986. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.375224.

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10

LORIO, MARCELO NASCIMENTO. "APPROXIMATIONS OF REAL NUMBERS BY RATIONAL NUMBERS: WHY THE CONTINUED FRACTIONS CONVERGING PROVIDE THE BEST APPROXIMATIONS?" PONTIFÍCIA UNIVERSIDADE CATÓLICA DO RIO DE JANEIRO, 2014. http://www.maxwell.vrac.puc-rio.br/Busca_etds.php?strSecao=resultado&nrSeq=23981@1.

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PONTIFÍCIA UNIVERSIDADE CATÓLICA DO RIO DE JANEIRO<br>COORDENAÇÃO DE APERFEIÇOAMENTO DO PESSOAL DE ENSINO SUPERIOR<br>Frações Contínuas são representações de números reais que independem da base de numeração escolhida. Quando se trata de aproximar números reais por frações, a escolha da base dez oculta, frequentemente, aproximações mais eficientes do que as exibe. Integrar conceitos de aproximações de números reais por frações contínuas com aspectos geométricos traz ao assunto uma abordagem diferenciada e bastante esclarecedora. O algoritmo de Euclides, por exemplo, ao ganhar significado geomé

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11

Pham, Van Anh. "Loop Numbers of Knots and Links." TopSCHOLAR®, 2017. http://digitalcommons.wku.edu/theses/1952.

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This thesis introduces a new quantity called loop number, and shows the conditions in which loop numbers become knot invariants. For a given knot diagram D, one can traverse the knot diagram and count the number of loops created by the traversal. The number of loops recorded depends on the starting point in the diagram D and on the traversal direction. Looking at the minimum or maximum number of loops over all starting points and directions, one can define two positive integers as loop numbers of the diagram D. In this thesis, the conditions under which these loop numbers become knot invariant

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12

Amaca, Edgar Gilbuena. "On rational functions with Golden Ratio as fixed point /." Online version of thesis, 2008. http://hdl.handle.net/1850/6212.

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13

Brown, Bruce J. L. "Numbers: a dream or reality? A return to objects in number learning." Saechsische Landesbibliothek- Staats- und Universitaetsbibliothek Dresden, 2012. http://nbn-resolving.de/urn:nbn:de:bsz:14-qucosa-82378.

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14

Tobias, Jennifer. "Preservice Elementary Teachers' Diverlopment of Rational Number Understanding Through the Social Perspective and the Relationship Among Social and Individual Environments." Doctoral diss., University of Central Florida, 2009. http://digital.library.ucf.edu/cdm/ref/collection/ETD/id/4233.

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A classroom teaching experiment was conducted in a semester-long undergraduate mathematics content course for elementary education majors. Preservice elementary teachers' development of rational number understanding was documented through the social and psychological perspectives. In addition, social and sociomathematical norms were documented as part of the classroom structure. A hypothetical learning trajectory and instructional sequence were created from a combination of previous research with children and adults. Transcripts from each class session were analyzed to determine the social and

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15

Tolmie, Julie, and julie tolmie@techbc ca. "Visualisation, navigation and mathematical perception: a visual notation for rational numbers mod1." The Australian National University. School of Mathematical Sciences, 2000. http://thesis.anu.edu.au./public/adt-ANU20020313.101505.

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There are three main results in this dissertation. The first result is the construction of an abstract visual space for rational numbers mod1, based on the visual primitives, colour, and rational radial direction. Mathematics is performed in this visual notation by defining increasingly refined visual objects from these primitives. In particular, the existence of the Farey tree enumeration of rational numbers mod1 is identified in the texture of a two-dimensional animation. ¶ The second result is a new enumeration of the rational numbers mod1, obtained, and expressed, in abstract visual space,

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16

Rakotoniaina, Tahina. "Explicit class field theory for rational function fields." Thesis, Link to the online version, 2008. http://hdl.handle.net/10019/1993.

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17

Moss, Joan. "Deepening children's understanding of rational numbers, a developmental model and two experimental studies." Thesis, National Library of Canada = Bibliothèque nationale du Canada, 2000. http://www.collectionscanada.ca/obj/s4/f2/dsk1/tape3/PQDD_0021/NQ49900.pdf.

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Tolmie, Julie. "Visualisation, navigation and mathematical perception : a visual notation for rational numbers mod 1." View thesis entry in Australian Digital Theses Program, 2000. http://thesis.anu.edu.au/public/adt-ANU20020313.101505/index.html.

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19

Conley, Randolph M. "A survey of the Minkowski?(x) function." Morgantown, W. Va. : [West Virginia University Libraries], 2003. http://etd.wvu.edu/templates/showETD.cfm?recnum=3055.

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Tobias, Jennifer M. "Preservice elementary teachers' development of rational number understanding through the social perspective and the relationship among social and individual environments." Orlando, Fla. : University of Central Florida, 2009. http://purl.fcla.edu/fcla/etd/CFE0002737.

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21

Zangiacomo, Tassia Roberta [UNESP]. "Sobre as construções dos sistemas numéricos: N, Z, Q e R." Universidade Estadual Paulista (UNESP), 2017. http://hdl.handle.net/11449/149948.

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Torres, Mário Régis Rebouças. "Números algébricos e transcendentes." reponame:Repositório Institucional da UFC, 2017. http://www.repositorio.ufc.br/handle/riufc/25736.

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TORRES, Máro Règis Rebouças. Números algébricos e transcendentes. 66 f. Dissertação (Mestrado Profissional em Matemática) - Centro de Ciências, Universidade Federal do Ceará, Fortaleza, 2017.<br>Submitted by Jessyca Silva (jessyca@mat.ufc.br) on 2017-09-15T05:05:08Z No. of bitstreams: 1 2017_dis_mrrtorres.pdf: 1191154 bytes, checksum: bcb31593bd1a02e84caee6bd47906dab (MD5)<br>Approved for entry into archive by Rocilda Sales (rocilda@ufc.br) on 2017-09-15T11:00:00Z (GMT) No. of bitstreams: 1 2017_dis_mrrtorres.pdf: 1191154 bytes, checksum: bcb31593bd1a02e84caee6bd47906dab (MD5)<br>Made avail

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Lewis, Raynold M. Otto Albert D. "The knowledge of equivalent fractions that children in grades 1, 2, and 3 bring to formal instruction." Normal, Ill. Illinois State University, 1996. http://wwwlib.umi.com/cr/ilstu/fullcit?p9633409.

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Thesis (Ph. D.)--Illinois State University, 1996.<br>Title from title page screen, viewed May 24, 2006. Dissertation Committee: Albert D. Otto (chair), Barbara S. Heyl, Cheryl A. Lubinski, Nancy K. Mack, Jane O. Swafford, Carol A. Thornton. Includes bibliographical references (leaves 188-198) and abstract. Also available in print.

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24

Persson, Frida. "Hur introducerar och arbetar lärare med bråkräkning i grundskolans tidigare år?" Thesis, Luleå tekniska universitet, Institutionen för konst, kommunikation och lärande, 2019. http://urn.kb.se/resolve?urn=urn:nbn:se:ltu:diva-75090.

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Syftet med denna studie är att ta reda på hur lärare i grundskolans tidigare år introducerar och arbetar med området bråkräkning. Utifrån detta syfte så formulerades tre stycken frågeställningar: Hur beskriver lärare att de introducerar området för sina elever? Hur beskriver lärare i grundskolans tidigare år att de arbetar med området? Samt är lärare medvetna om någon svårighet med området bråk? För att kunna besvara dessa tre frågeställningar genomfördes kvalitativa intervjuer med sju stycken lärare som arbetar runt om i Sverige. Studiens resultat visar att bråkräkning är någonting som upplev

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25

Dolma, Phuntsho. "The relationship between estimation skill and computational ability of students in years 5, 7 and 9 for whole and rational numbers." Thesis, Edith Cowan University, Research Online, Perth, Western Australia, 2002. https://ro.ecu.edu.au/theses/742.

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This study explored the relationship between estimation skill and computational ability for whole and rational numbers. The methods carried out were both quantitative as well as qualitative and data were collected from three primary schools along with their associated high school in the Perth area. The year levels chosen were 5, 7 and 9. There were two classes from each chosen primary school representing Year 5 and Year 7 and three classes of Year 9 from the high school. The total number of students involved was 91, 77 and 73 from the three respective year levels. Instruments used for collecti

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26

Trespalacios, Jesus. "The Effects of Two Generative Activities on Learner Comprehension of Part-Whole Meaning of Rational Numbers Using Virtual Manipulatives." Diss., Virginia Tech, 2008. http://hdl.handle.net/10919/26508.

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The study investigated the effects of two generative learning activities on students’ academic achievement of the part-whole representation of rational numbers while using virtual manipulatives. Third-grade students were divided randomly in two groups to evaluate the effects of two generative learning activities: answering-questions and generating-examples while using two virtual manipulatives related to part-whole representation of rational numbers. The study employed an experimental design with pre- and post-tests. A 2x2 mixed analysis of variance (ANOVA) was used to determine any significan

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Bledsoe, Ann M. "Implementing the connected mathematics project : the interaction between student rational number understanding and classroom mathematical practices /." free to MU campus, to others for purchase, 2002. http://wwwlib.umi.com/cr/mo/fullcit?p3074374.

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28

Armstrong, Barbara Ellen. "The use of rational number reasoning in area comparison tasks by elementary and junior high school students." Diss., The University of Arizona, 1989. http://hdl.handle.net/10150/184910.

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The purpose of this study was to determine whether fourth-, sixth-, and eighth-grade students used rational number reasoning to solve comparison of area tasks, and whether the tendency to use such reasoning increased with grade level. The areas to be compared were not similar and therefore, could not directly be compared in a straightforward manner. The most viable solution involved comparing the part-whole relationships inherent in the tasks. Rational numbers in the form of fractional terms could be used to express the part-whole relationships. The use of fractional terms provided a means for

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Dugaich, Valéria Cristina Brumati. "Jogos como possibilidade para a melhoria do desempenho e das atitudes em relação às frações e aos decimais nos anos finais do ensino fundamental /." Bauru, 2020. http://hdl.handle.net/11449/192109.

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Orientador: Nelson Antonio Pirola<br>Resumo: Tendo em vista que o desempenho em matemática de significativo percentual de alunos do 9º ano do ensino fundamental da Rede Estadual de Ensino no Sistema de Avaliação de Rendimento Escolar do Estado de São Paulo-SARESP, é ruim, no presente estudo, investigou-se a relação entre o uso de jogos pedagógicos, as atitudes e o desempenho em matemática. Teve como objetivo geral pesquisar e criar jogos como ferramenta pedagógica com potencial para criar situações e experiências favoráveis ao ensino das diferentes representações de um número racional, podendo

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Bezerra, Rafael Tavares Silva. "Frações contínuas - um estudo sobre "boas" aproximações." Universidade Federal da Paraíba, 2016. http://tede.biblioteca.ufpb.br:8080/handle/tede/9341.

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Johnson, Gwendolyn Joy. "Proportionality in Middle-School Mathematics Textbooks." Scholar Commons, 2010. https://scholarcommons.usf.edu/etd/1670.

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Some scholars have criticized the treatment of proportionality in middle-school textbooks, but these criticisms seem to be based on informal knowledge of the content of textbooks rather than on a detailed curriculum analysis. Thus, a curriculum analysis related to proportionality was needed. To investigate the treatment of proportionality in current middle-school textbooks, nine such books were analyzed. Sixth-, seventh-, and eighth-grade textbooks from three series were used: ConnectedMathematics2 (CMP), Glencoe's Math Connects, and the University of Chicago School Mathematics Project (UCSMP)

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Silva, Guimarães Vieira da. "Irracionalidade e transcendência: aspectos elementares." Universidade Federal do Tocantins, 2018. http://hdl.handle.net/11612/978.

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O presente trabalho tem como perspectiva a caracterização dos números Racionais e Irracionais, e a sua devida aplicabilidade e variações no que tange o aspecto algébrico e transcendental. Sabe-se que o Número e (de Euler), pode ser classificado como um número transcendental, isto é, aqueles que não são raízes de nenhum polinômio que possua coeficientes inteiros. Nesse pressuposto, o Número deve ser considerado existente e irracional. O objetivo desta pesquisa consiste em caracterizar os fatores que abrangem os Números Racionais e Irracionais, oferecendo a compreensão necessária referente

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Lopes, Ana Paula. "Desenvolvimento do sentido de número no ensino básico: um estudo no sétimo ano de escolaridade." Master's thesis, Universidade de Évora, 2010. http://hdl.handle.net/10174/20773.

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A sociedade contemporânea exige do cidadão raciocínio quantitativo e os novos paradigmas económico-sociais colocam a Matemática escolar perante um novo desafio: desenvolver a literacia matemática dos alunos. A literacia matemática contempla um vasto conjunto de conhecimentos e capacidades entre eles o sentido de número. O desenvolvimento do sentido de número dos alunos tem suscitado alguns trabalhos de pesquisa, em particular ao nível do primeiro e segundo ciclos do Ensino Básico. O objectivo desde estudo é recolher evidências sobre o sentido de número de alunos do terceiro ciclo, mais concret

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Lack, Brian S. "Student Participation in Mathematics Discourse in a Standards-based Middle Grades Classroom." Digital Archive @ GSU, 2010. http://digitalarchive.gsu.edu/ece_diss/11.

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The vision of K-12 standards-based mathematics reform embraces a greater emphasis on students’ ability to communicate their understandings of mathematics by utilizing adaptive reasoning (i.e., reflection, explanation, and justification of thinking) through mathematics discourse. However, recent studies suggest that many students lack the socio-cognitive capacity needed to succeed in learner-centered, discussion-intensive mathematics classrooms. A multiple case study design was used to examine the nature of participation in mathematics discourse among two low- and two high-performing sixth grad

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Wolffenbüttel, Reni. "Investigando números racionais com o software GeoGebra." reponame:Biblioteca Digital de Teses e Dissertações da UFRGS, 2015. http://hdl.handle.net/10183/133653.

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A presente pesquisa tem como foco o ensino dos números racionais no Ensino Fundamental. Seu objetivo é analisar as potencialidades e proposta de ensino que utiliza o computador, em particular do so fltiwmaitraeç dõee sg edoem uemtriaa dinâmica GeoGebra, e a metodologia de aulas de matemática investigativa. Essa proposta de ensino foi aplicada em turmas de 8º ano do Ensino Fundamental de uma escola pública, localizada na cidade de Sapucaia do Sul/RS. Esses estudantes já traziam conhecimentos sobre números racionais e, diante disso, esse campo numérico foi retomado com a intenção de verificar e

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Zakrzewski, Jennifer. "Effect of Interactive Digital Homework with an iBook on Sixth Grade Students' Mathematics Achievement and Attitudes when Learning Fractions, Decimals, and Percents." Scholar Commons, 2015. https://scholarcommons.usf.edu/etd/5611.

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Over the past decade, technology has become a prominent feature in our lives. Technology has not only been integrated into our lives, but into the classroom as well. Teachers have been provided with a tremendous amount of technology related tools to educate their students. However, many of these technologically enhanced tools have little to no research supporting their claims to enhance learning. This study focuses on one aspect of technology, the iBook, to complete homework relating to fractions, decimals, and percents in a sixth grade classroom. An iBook is a digital textbook that allows the

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Sehlmeyer, Peter August. "Use of learning-logs in high school pre-algebra classes to improve mastery of rational numbers and linear equations for high-risk minority students." CSUSB ScholarWorks, 1997. https://scholarworks.lib.csusb.edu/etd-project/1497.

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The purpose of this study was to determine whether there was a relationship in the use of learning-logs to traditional or current math instruction in secondary school pre-algebra classes to improve the mastery of single-variable equations by high-risk minority students.

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Menezes, Fernanda Martinez. "Propriedades da expansão decimal." Universidade de São Paulo, 2016. http://www.teses.usp.br/teses/disponiveis/55/55136/tde-05102016-085553/.

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Este trabalho tem como objetivo principal o estudo da expansão decimal dos números reais. Primeiramente provamos que todo número real possui ao menos uma expansão decimal. Na sequência, um método para encontrar a expansão decimal de um número entre 0 e 1 é apresentado, bem como um estudo sobre a expansão decimal de números racionais e irracionais. Em seguida, o estudo apresenta métodos que permitem encontrar aproximações racionais de números irracionais, além dos erros cometidos por essas aproximações. Na parte final, por seu turno, o foco do trabalho recai sobre a análise da regularidade (fre

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Eriksson, Helena. "Rationella tal som tal : Algebraiska symboler och generella modeller som medierande redskap." Licentiate thesis, Stockholms universitet, Institutionen för matematikämnets och naturvetenskapsämnenas didaktik, 2015. http://urn.kb.se/resolve?urn=urn:nbn:se:su:diva-129269.

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In this study the teaching of mathematics has been developed in relation to rational numbers and towards a learning activity. At the same time topic-specific mediated tools have been studied. The iterative model for learning study has been used as research approach. The purpose of the study was to explore what in an algebraic learning activity enables knowledge of rational numbers to develop. The specific questions answered by the study are how an algebraic learning activity can be formed in an otherwise arithmetic teaching tradition, what knowledge is mediated in relation to different mediate

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LUCENA, Alexandre Marcelino de. "A metacognição no livro didático de matemática : um olhar sobre os números racionais." Universidade Federal Rural de Pernambuco, 2013. http://www.tede2.ufrpe.br:8080/tede2/handle/tede2/5414.

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Submitted by Mario BC (mario@bc.ufrpe.br) on 2016-08-22T12:36:16Z No. of bitstreams: 1 Alexandre Marcelino de Lucena.pdf: 3286126 bytes, checksum: 9671213d688c6eb5a5db81b18682979f (MD5)<br>Made available in DSpace on 2016-08-22T12:36:17Z (GMT). No. of bitstreams: 1 Alexandre Marcelino de Lucena.pdf: 3286126 bytes, checksum: 9671213d688c6eb5a5db81b18682979f (MD5) Previous issue date: 2013-03-04<br>Coordenação de Aperfeiçoamento de Pessoal de Nível Superior - CAPES<br>The present study aimed to investigate the extent to which the activities of mathematics textbooks could favor the developm

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Dopico, Evelyn. "The Impact of Small Group Intervention Focusing on Operations with Rational Numbers on Students' Performance in the Florida Algebra I End-of-Course Examination." Thesis, Nova Southeastern University, 2018. http://pqdtopen.proquest.com/#viewpdf?dispub=10845405.

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<p> In Florida, passing the Algebra I end-of-course examination (EOCE) is a graduation requirement. The test measures knowledge of basic algebra. In spring 2015, the Department of Education introduced a different version of the test. For the first two administrations of the new test, the failure rate for 9th-grade students in the state was almost 50%. In contrast, the failure rate for students in the school where this study was implemented exceeded 70%. The purpose of this study was to determine the outcome of small group intervention focusing on operations with rational numbers of high schoo

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Smith, Scott. "An Exploratory Study of Fifth-Grade Students’ Reasoning About the Relationship Between Fractions and Decimals When Using Number Line-Based Virtual Manipulatives." DigitalCommons@USU, 2017. https://digitalcommons.usu.edu/etd/5625.

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Understanding the relationship between fractions and decimals is an important step in developing an overall understanding of rational numbers. Research has demonstrated the feasibility of technology in the form of virtual manipulatives for facilitating students’ meaningful understanding of rational number concepts. This exploratory dissertation study was conducted for the two closely related purposes: first, to investigate a sample of fifth-grade students’ reasoning regarding the relationship between fractions and decimals for fractions with terminating decimal representations while using virt

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Valio, Denise Teresa de Camargo. "Frações: estratégias lúdicas no ensino da matemática." Universidade Federal de São Carlos, 2014. https://repositorio.ufscar.br/handle/ufscar/5964.

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Made available in DSpace on 2016-06-02T20:29:27Z (GMT). No. of bitstreams: 1 6172.pdf: 12347251 bytes, checksum: 13431f4e524b082003ce456c4a9de23e (MD5) Previous issue date: 2014-08-21<br>Financiadora de Estudos e Projetos<br>The main aim of this master´s degree dissertation is the Mathematics teaching as well as the pedagogical and teaching practices related to the topic of rational numbers, particularly, fractions. The Fractions project, main title of this paper, aims at reaching not only basic education students but also educators with the objective of proposing understandable and attrac

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SANTOS, Ana Cláudia Guedes dos. "Uma contribuição ao ensino de números irracionais e de incomensurabilidade para o ensino médio." Universidade Federal de Campina Grande, 2013. http://dspace.sti.ufcg.edu.br:8080/jspui/handle/riufcg/2161.

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Submitted by Emanuel Varela Cardoso (emanuel.varela@ufcg.edu.br) on 2018-11-09T18:09:57Z No. of bitstreams: 1 ANA CLÁUDIA GUEDES DOS SANTOS – DISSERTAÇÃO (PPGMat) 2013.pdf: 24981615 bytes, checksum: d442e8df3b32727e30684e3cbd516a9b (MD5)<br>Made available in DSpace on 2018-11-09T18:09:57Z (GMT). No. of bitstreams: 1 ANA CLÁUDIA GUEDES DOS SANTOS – DISSERTAÇÃO (PPGMat) 2013.pdf: 24981615 bytes, checksum: d442e8df3b32727e30684e3cbd516a9b (MD5) Previous issue date: 2013-08<br>Capes<br>Este trabalho tem como proposta pedagógica apresentar aos alunos o conceito de segmentos comensuráveis e de seg

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Valera, Alcir Rojas [UNESP]. "Uso social e escolar dos números racionais: representação fracionária e decimal." Universidade Estadual Paulista (UNESP), 2003. http://hdl.handle.net/11449/90210.

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Made available in DSpace on 2014-06-11T19:24:21Z (GMT). No. of bitstreams: 0 Previous issue date: 2003Bitstream added on 2014-06-13T18:52:14Z : No. of bitstreams: 1 valera_ar_me_mar.pdf: 594283 bytes, checksum: 7fa747413b18f73739f058ca4ea1146e (MD5)<br>Os números racionais apresentam-se como conteúdo que os alunos do Ensino Fundamental e Médio têm dificuldades para aprender. Parte dessas dificuldades decorre da diferença instituída entre o uso cotidiano dos números racionais pelo aluno e a maneira como são ensinados na escola e, também pelo desconhecimento, por parte da escola, da multiplici

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Valera, Alcir Rojas. "Uso social e escolar dos números racionais : representação fracionária e decimal /." Marília : [s.n.], 2003. http://hdl.handle.net/11449/90210.

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Orientador: Vinício de Macedo Santos<br>Banca: Célia Maria Carolino Pires<br>Banca: José Carlos Miguel<br>Abstract: The rational numbers are shown as a subject that the students of the Elementary and High School have difficulties to learn. Some of these difficulties are due to the difference established between the daily use of the rational numbers by the student and the way it is taught at the school and, also for the ignorance, on the part of the school, of the multiplicity of their meanings. While the social use is centered in the decimal form, the school use lies more on the fractional for

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Queiroz, Fabiana Moura de. "Um estudo sobre construções dos Números Reais." Universidade Federal de Goiás, 2015. http://repositorio.bc.ufg.br/tede/handle/tede/4555.

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Submitted by Erika Demachki (erikademachki@gmail.com) on 2015-05-19T18:16:57Z No. of bitstreams: 2 Dissertação - Fabiana Moura de Queiroz - 2015.pdf: 3272912 bytes, checksum: bb75fba8c8a71a93692d37b8aa3ba9c2 (MD5) license_rdf: 23148 bytes, checksum: 9da0b6dfac957114c6a7714714b86306 (MD5)<br>Approved for entry into archive by Erika Demachki (erikademachki@gmail.com) on 2015-05-19T18:18:56Z (GMT) No. of bitstreams: 2 Dissertação - Fabiana Moura de Queiroz - 2015.pdf: 3272912 bytes, checksum: bb75fba8c8a71a93692d37b8aa3ba9c2 (MD5) license_rdf: 23148 bytes, checksum: 9da0b6dfac957114c6a7714714b863

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Santos, Simone de Carvalho. "Uma construção geométrica dos números reais." Universidade Federal de Sergipe, 2015. https://ri.ufs.br/handle/riufs/6478.

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Coordenação de Aperfeiçoamento de Pessoal de Nível Superior<br>This study aims to present a geometric construction of real numbers characterizing them as numbers that express a measure. In this construction, each point in an oriented line represents the measure of a segment (a real number). Based on ve axioms of Euclidean geometry it was de ned an order relation, a method to add and multiply points so that it was possible to demonstrate that the line has a full ordered body of algebraic structure that we call the set of real numbers. To do so, it were presented historical elements that

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Pimentel, Thiago Trindade. "Construção dos números reais via cortes de Dedekind." Universidade de São Paulo, 2018. http://www.teses.usp.br/teses/disponiveis/55/55136/tde-18102018-164352/.

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O objetivo desta dissertação é apresentar a construção dos números reais a partir de cortes de Dedekind. Para isso, vamos estudar os números naturais, os números inteiros, os números racionais e as propriedades envolvidas. Então, a partir dos números racionais, iremos construir o corpo dos números reais e estabelecer suas propriedades. Um corte de Dedekind, assim nomeado em homenagem ao matemático alemão Richard Dedekind, é uma partição dos números racionais em dois conjuntos não vazios A e B em que cada elemento de A é menor do que todos os elementos de B e A não contém um elemento máximo. Se

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Matos, Raphael Neves de. "Uma contribui??o para o ensino aprendizagem dos n?meros racionais: a rela??o entre d?zimas peri?dicas e progress?es geom?tricas." UFVJM, 2017. http://acervo.ufvjm.edu.br/jspui/handle/1/1641.

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Submitted by Raniere Barreto (raniere.barros@ufvjm.edu.br) on 2018-04-12T16:51:05Z No. of bitstreams: 2 license_rdf: 0 bytes, checksum: d41d8cd98f00b204e9800998ecf8427e (MD5) raphael_neves_matos.pdf: 4286914 bytes, checksum: 4faddab9001b8b035017adfd9a2d6d75 (MD5)<br>Approved for entry into archive by Rodrigo Martins Cruz (rodrigo.cruz@ufvjm.edu.br) on 2018-04-20T14:12:28Z (GMT) No. of bitstreams: 2 license_rdf: 0 bytes, checksum: d41d8cd98f00b204e9800998ecf8427e (MD5) raphael_neves_matos.pdf: 4286914 bytes, checksum: 4faddab9001b8b035017adfd9a2d6d75 (MD5)<br>Made available in DSpace on 20

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