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Ano: 2025
Banca:
VUNESP
Órgão:
EsFCEx
Prova:
VUNESP - 2025 - EsFCEx - Oficial - Especialidade: Magistério em Inglês |
Q3512682
Inglês
Texto associado
Read the text to answer question.
Based on theoretical, experimental, and experiential
knowledge, teachers and teacher educators have expressed
their dissatisfaction with method in different ways. Studies
clearly demonstrate that, even as the methodological band
played on, practicing teachers have been marching to a
different drum.
In this sense, the post method condition is established
as a timely response. It signifies interrelated attributes. First
and foremost, it signifies a search for an alternative to method
rather than an alternative method. While alternative methods
are primarily products of top-down processes, alternatives
to method are mainly products of bottom-up processes.
In practical terms, this means that we need to refigure the
relationship between the theorizer and the practitioner of
language teaching. If the concept of method authorizes
theorizers to centralize pedagogic decision-making, the
postmethod condition enables practitioners to generate
location-specific, classroom-oriented innovative strategies.
Secondly, the postmethod condition signifies teacher
autonomy. The conventional concept of method “overlooks
the fund of experience and tacit knowledge about teaching
which the teachers already have by virtue of their lives as
students” (Freeman, 1991). The postmethod condition,
however, recognizes the teachers’ potential to know not
only how to teach but also how to act autonomously within
the academic and administrative constraints imposed by
institutions, curricula, and textbooks. It also promotes the
ability of teachers to know how to develop a critical approach
in order to self-observe, self-analyze, and self-evaluate
their own teaching practice with a view to effecting desired
changes.
(B. Kumaravadivelu, Beyond Methods: Macrostrategies for language
teaching. Haven and London: Yale University Press. 2003. Adaptado)
In the excerpt from the second paragraph “we need to
refigure the relationship between the theorizer and
the practitioner”, the bolded word has been formed by
the addition of the prefix re- to a base word. Mark the
alternative in which the re- is a prefix in both words, and
not part of the base word itself.
Ano: 2025
Banca:
VUNESP
Órgão:
EsFCEx
Prova:
VUNESP - 2025 - EsFCEx - Oficial - Especialidade: Magistério em Inglês |
Q3512681
Inglês
Texto associado
Read the text to answer question.
Based on theoretical, experimental, and experiential
knowledge, teachers and teacher educators have expressed
their dissatisfaction with method in different ways. Studies
clearly demonstrate that, even as the methodological band
played on, practicing teachers have been marching to a
different drum.
In this sense, the post method condition is established
as a timely response. It signifies interrelated attributes. First
and foremost, it signifies a search for an alternative to method
rather than an alternative method. While alternative methods
are primarily products of top-down processes, alternatives
to method are mainly products of bottom-up processes.
In practical terms, this means that we need to refigure the
relationship between the theorizer and the practitioner of
language teaching. If the concept of method authorizes
theorizers to centralize pedagogic decision-making, the
postmethod condition enables practitioners to generate
location-specific, classroom-oriented innovative strategies.
Secondly, the postmethod condition signifies teacher
autonomy. The conventional concept of method “overlooks
the fund of experience and tacit knowledge about teaching
which the teachers already have by virtue of their lives as
students” (Freeman, 1991). The postmethod condition,
however, recognizes the teachers’ potential to know not
only how to teach but also how to act autonomously within
the academic and administrative constraints imposed by
institutions, curricula, and textbooks. It also promotes the
ability of teachers to know how to develop a critical approach
in order to self-observe, self-analyze, and self-evaluate
their own teaching practice with a view to effecting desired
changes.
(B. Kumaravadivelu, Beyond Methods: Macrostrategies for language
teaching. Haven and London: Yale University Press. 2003. Adaptado)
The word “while” has multiple meanings and functions.
Mark the alternative in which it has the same meaning as
the word in bold in the extract from the first paragraph in
the text: “While alternative methods are primarily products
of top-down processes”.
Ano: 2025
Banca:
VUNESP
Órgão:
EsFCEx
Prova:
VUNESP - 2025 - EsFCEx - Oficial - Especialidade: Magistério em Inglês |
Q3512680
Inglês
Texto associado
Read the text to answer question.
Based on theoretical, experimental, and experiential
knowledge, teachers and teacher educators have expressed
their dissatisfaction with method in different ways. Studies
clearly demonstrate that, even as the methodological band
played on, practicing teachers have been marching to a
different drum.
In this sense, the post method condition is established
as a timely response. It signifies interrelated attributes. First
and foremost, it signifies a search for an alternative to method
rather than an alternative method. While alternative methods
are primarily products of top-down processes, alternatives
to method are mainly products of bottom-up processes.
In practical terms, this means that we need to refigure the
relationship between the theorizer and the practitioner of
language teaching. If the concept of method authorizes
theorizers to centralize pedagogic decision-making, the
postmethod condition enables practitioners to generate
location-specific, classroom-oriented innovative strategies.
Secondly, the postmethod condition signifies teacher
autonomy. The conventional concept of method “overlooks
the fund of experience and tacit knowledge about teaching
which the teachers already have by virtue of their lives as
students” (Freeman, 1991). The postmethod condition,
however, recognizes the teachers’ potential to know not
only how to teach but also how to act autonomously within
the academic and administrative constraints imposed by
institutions, curricula, and textbooks. It also promotes the
ability of teachers to know how to develop a critical approach
in order to self-observe, self-analyze, and self-evaluate
their own teaching practice with a view to effecting desired
changes.
(B. Kumaravadivelu, Beyond Methods: Macrostrategies for language
teaching. Haven and London: Yale University Press. 2003. Adaptado)
Pronouns are important elements for text cohesion.
In the extract from the second paragraph “It signifies
interrelated attributes”, the pronoun It has “the
postmethod condition” as its referent. A pronoun it that
does not have a referent and only performs a grammatical
function is a “nonreferential it”. In the following sentences,
a “nonreferencial it” is found in:
Ano: 2025
Banca:
VUNESP
Órgão:
EsFCEx
Prova:
VUNESP - 2025 - EsFCEx - Oficial - Especialidade: Magistério em Inglês |
Q3512679
Inglês
Texto associado
Read the text to answer question.
Based on theoretical, experimental, and experiential
knowledge, teachers and teacher educators have expressed
their dissatisfaction with method in different ways. Studies
clearly demonstrate that, even as the methodological band
played on, practicing teachers have been marching to a
different drum.
In this sense, the post method condition is established
as a timely response. It signifies interrelated attributes. First
and foremost, it signifies a search for an alternative to method
rather than an alternative method. While alternative methods
are primarily products of top-down processes, alternatives
to method are mainly products of bottom-up processes.
In practical terms, this means that we need to refigure the
relationship between the theorizer and the practitioner of
language teaching. If the concept of method authorizes
theorizers to centralize pedagogic decision-making, the
postmethod condition enables practitioners to generate
location-specific, classroom-oriented innovative strategies.
Secondly, the postmethod condition signifies teacher
autonomy. The conventional concept of method “overlooks
the fund of experience and tacit knowledge about teaching
which the teachers already have by virtue of their lives as
students” (Freeman, 1991). The postmethod condition,
however, recognizes the teachers’ potential to know not
only how to teach but also how to act autonomously within
the academic and administrative constraints imposed by
institutions, curricula, and textbooks. It also promotes the
ability of teachers to know how to develop a critical approach
in order to self-observe, self-analyze, and self-evaluate
their own teaching practice with a view to effecting desired
changes.
(B. Kumaravadivelu, Beyond Methods: Macrostrategies for language
teaching. Haven and London: Yale University Press. 2003. Adaptado)
The following are characteristics of an approach used for
second language teaching.
• No use of the mother tongue is permitted (i.e., the teacher does not need to know the students’ native language).
• Lessons begin with dialogues and anecdotes in modern conversational style.
• Actions and pictures are used to make meanings clear.
• Grammar is learned inductively.
• The target culture is also taught inductively.
• The teacher must be a native speaker or have nativelike proficiency in the target language.
The characteristics listed are consistent with the approach named
• No use of the mother tongue is permitted (i.e., the teacher does not need to know the students’ native language).
• Lessons begin with dialogues and anecdotes in modern conversational style.
• Actions and pictures are used to make meanings clear.
• Grammar is learned inductively.
• The target culture is also taught inductively.
• The teacher must be a native speaker or have nativelike proficiency in the target language.
The characteristics listed are consistent with the approach named
Ano: 2025
Banca:
VUNESP
Órgão:
EsFCEx
Prova:
VUNESP - 2025 - EsFCEx - Oficial - Especialidade: Magistério em Inglês |
Q3512678
Pedagogia
Texto associado
Read the text to answer question.
Based on theoretical, experimental, and experiential
knowledge, teachers and teacher educators have expressed
their dissatisfaction with method in different ways. Studies
clearly demonstrate that, even as the methodological band
played on, practicing teachers have been marching to a
different drum.
In this sense, the post method condition is established
as a timely response. It signifies interrelated attributes. First
and foremost, it signifies a search for an alternative to method
rather than an alternative method. While alternative methods
are primarily products of top-down processes, alternatives
to method are mainly products of bottom-up processes.
In practical terms, this means that we need to refigure the
relationship between the theorizer and the practitioner of
language teaching. If the concept of method authorizes
theorizers to centralize pedagogic decision-making, the
postmethod condition enables practitioners to generate
location-specific, classroom-oriented innovative strategies.
Secondly, the postmethod condition signifies teacher
autonomy. The conventional concept of method “overlooks
the fund of experience and tacit knowledge about teaching
which the teachers already have by virtue of their lives as
students” (Freeman, 1991). The postmethod condition,
however, recognizes the teachers’ potential to know not
only how to teach but also how to act autonomously within
the academic and administrative constraints imposed by
institutions, curricula, and textbooks. It also promotes the
ability of teachers to know how to develop a critical approach
in order to self-observe, self-analyze, and self-evaluate
their own teaching practice with a view to effecting desired
changes.
(B. Kumaravadivelu, Beyond Methods: Macrostrategies for language
teaching. Haven and London: Yale University Press. 2003. Adaptado)
Segundo o autor, o pós-método significa dar ao professor
autonomia, na medida em que
Ano: 2025
Banca:
VUNESP
Órgão:
EsFCEx
Prova:
VUNESP - 2025 - EsFCEx - Oficial - Especialidade: Magistério em Inglês |
Q3512677
Pedagogia
Texto associado
Read the text to answer question.
Based on theoretical, experimental, and experiential
knowledge, teachers and teacher educators have expressed
their dissatisfaction with method in different ways. Studies
clearly demonstrate that, even as the methodological band
played on, practicing teachers have been marching to a
different drum.
In this sense, the post method condition is established
as a timely response. It signifies interrelated attributes. First
and foremost, it signifies a search for an alternative to method
rather than an alternative method. While alternative methods
are primarily products of top-down processes, alternatives
to method are mainly products of bottom-up processes.
In practical terms, this means that we need to refigure the
relationship between the theorizer and the practitioner of
language teaching. If the concept of method authorizes
theorizers to centralize pedagogic decision-making, the
postmethod condition enables practitioners to generate
location-specific, classroom-oriented innovative strategies.
Secondly, the postmethod condition signifies teacher
autonomy. The conventional concept of method “overlooks
the fund of experience and tacit knowledge about teaching
which the teachers already have by virtue of their lives as
students” (Freeman, 1991). The postmethod condition,
however, recognizes the teachers’ potential to know not
only how to teach but also how to act autonomously within
the academic and administrative constraints imposed by
institutions, curricula, and textbooks. It also promotes the
ability of teachers to know how to develop a critical approach
in order to self-observe, self-analyze, and self-evaluate
their own teaching practice with a view to effecting desired
changes.
(B. Kumaravadivelu, Beyond Methods: Macrostrategies for language
teaching. Haven and London: Yale University Press. 2003. Adaptado)
In the second paragraph, Kamaravadivelu states that the
post method condition
Ano: 2025
Banca:
VUNESP
Órgão:
EsFCEx
Prova:
VUNESP - 2025 - EsFCEx - Oficial - Especialidade: Magistério em Inglês |
Q3512676
Inglês
Texto associado
Read the text to answer question.
Based on theoretical, experimental, and experiential
knowledge, teachers and teacher educators have expressed
their dissatisfaction with method in different ways. Studies
clearly demonstrate that, even as the methodological band
played on, practicing teachers have been marching to a
different drum.
In this sense, the post method condition is established
as a timely response. It signifies interrelated attributes. First
and foremost, it signifies a search for an alternative to method
rather than an alternative method. While alternative methods
are primarily products of top-down processes, alternatives
to method are mainly products of bottom-up processes.
In practical terms, this means that we need to refigure the
relationship between the theorizer and the practitioner of
language teaching. If the concept of method authorizes
theorizers to centralize pedagogic decision-making, the
postmethod condition enables practitioners to generate
location-specific, classroom-oriented innovative strategies.
Secondly, the postmethod condition signifies teacher
autonomy. The conventional concept of method “overlooks
the fund of experience and tacit knowledge about teaching
which the teachers already have by virtue of their lives as
students” (Freeman, 1991). The postmethod condition,
however, recognizes the teachers’ potential to know not
only how to teach but also how to act autonomously within
the academic and administrative constraints imposed by
institutions, curricula, and textbooks. It also promotes the
ability of teachers to know how to develop a critical approach
in order to self-observe, self-analyze, and self-evaluate
their own teaching practice with a view to effecting desired
changes.
(B. Kumaravadivelu, Beyond Methods: Macrostrategies for language
teaching. Haven and London: Yale University Press. 2003. Adaptado)
The end of the first paragraph “even as the methodological
band played on, practicing teachers have been marching
to a different drum” transported to second language
teaching, means that, although methods have frequently
been in use, practicing teachers have
Ano: 2025
Banca:
VUNESP
Órgão:
EsFCEx
Prova:
VUNESP - 2025 - EsFCEx - Oficial - Especialidade: Magistério em Inglês |
Q3512672
Pedagogia
Para Jussara Hoffmann (2011), pesquisar e avaliar, em
educação, têm objetivos diferentes. Para a autora, a avaliação tem como objetivo principal uma
Ano: 2025
Banca:
VUNESP
Órgão:
EsFCEx
Prova:
VUNESP - 2025 - EsFCEx - Oficial - Especialidade: Magistério em Inglês |
Q3512670
Pedagogia
Os professores Raul e Silvio planejam incorporar diferentes tendências metodológicas de educação matemática
em seus processos de ensino e aprendizagem. Raul busca, sobretudo, dar uma ressignificação ao conhecimento
matemático produzido pela sociedade ao longo dos tempos. Silvio, por sua vez, quer caracterizar sua prática a
partir do desenvolvimento de uma metodologia culturalmente dinâmica, enraizada na “realidade real”, que possibilite uma observação vivificante das práticas comportamentais e denote uma ação socialmente significativa. De
acordo com Dias et al. (2022), os objetivos centrais dos
professores Raul e Silvio expressam, respectivamente,
as tendências:
Ano: 2025
Banca:
VUNESP
Órgão:
EsFCEx
Prova:
VUNESP - 2025 - EsFCEx - Oficial - Especialidade: Magistério em Inglês |
Q3512666
Pedagogia
Ao sistematizar algumas conclusões acerca do trabalho
docente, da pedagogia e do ensino, Tardif (2012) reforça que “o trabalho dos professores não pode ser visto
mera ou exclusivamente como a tarefa de um técnico ou
um executor”. No capítulo 3 da obra Saberes Docentes e
Formação Profissional, Tardif (2012) afirma que a análise
do trabalho docente permite recolocar e enraizar a pedagogia em seu próprio espaço de produção, que é
Ano: 2025
Banca:
VUNESP
Órgão:
EsFCEx
Prova:
VUNESP - 2025 - EsFCEx - Oficial - Especialidade: Magistério em Inglês |
Q3512665
Direito Constitucional
Como o Brasil e como a própria democracia, a Constituição de 1988 também é imperfeita. [...]. Mas a Constituição de 1988 é a melhor expressão de que o Brasil tinha um olho no passado e outro no futuro e estava firmando um sólido compromisso democrático. [...] Ela é moderna nos direitos, sensível às minorias políticas, avançada nas questões ambientais, empenhada em prever meios e instrumentos constitucionais legais para a participação [social] e direta, e determinada a limitar o poder do Estado sobre o cidadão e a exigir políticas públicas voltadas para enfrentar os problemas mais graves da população.
(Lilia M. Schwarcz e Heloisa M. Starling. Brasil: uma biografia, 2015)
Os aspectos “modernos” da Constituição, referidos pelo excerto, vinculam-se
(Lilia M. Schwarcz e Heloisa M. Starling. Brasil: uma biografia, 2015)
Os aspectos “modernos” da Constituição, referidos pelo excerto, vinculam-se
Ano: 2025
Banca:
VUNESP
Órgão:
EsFCEx
Prova:
VUNESP - 2025 - EsFCEx - Oficial - Especialidade: Estatística |
Q3512565
Estatística
Sobre o intervalo de credibilidade, assinale a alternativa
correta.
Ano: 2025
Banca:
VUNESP
Órgão:
EsFCEx
Prova:
VUNESP - 2025 - EsFCEx - Oficial - Especialidade: Estatística |
Q3512564
Estatística
Considere a variável aleatória X com distribuição exponencial, com parâmetro α > 0, desconhecido, com função
densidade dada por:
O estimador de máxima verossimilhança para α é dado por:
O estimador de máxima verossimilhança para α é dado por:
Ano: 2025
Banca:
VUNESP
Órgão:
EsFCEx
Prova:
VUNESP - 2025 - EsFCEx - Oficial - Especialidade: Estatística |
Q3512563
Estatística
Seja X uma variável aleatória normalmente distribuída
com média µ e variância σ2
, em que µ e σ2
são desconhecidos. Sejam 
os estimadores de máxima
verossimilhança para µ e σ2
, respectivamente.
É correto afirmar:
os estimadores de máxima
verossimilhança para µ e σ2
, respectivamente. É correto afirmar:
Ano: 2025
Banca:
VUNESP
Órgão:
EsFCEx
Prova:
VUNESP - 2025 - EsFCEx - Oficial - Especialidade: Estatística |
Q3512562
Estatística
Sejam X1
, …, Xn
uma amostra aleatória da variável aleatória X com função de densidade (ou de probabilidade)
f(X|θ). Seja 
o estimador de máxima verossimilhança
de θ.
É correto afirmar:
o estimador de máxima verossimilhança
de θ. É correto afirmar:
Ano: 2025
Banca:
VUNESP
Órgão:
EsFCEx
Prova:
VUNESP - 2025 - EsFCEx - Oficial - Especialidade: Estatística |
Q3512561
Estatística
Seja a variável X referente a um processo dicotômico
de forma que se assume que a distribuição binomial
Bin(n, θ) é uma alternativa natural para a função de
verossimilhança. Considere a distribuição a priori para θ
pois são a distribuição Beta(α, β), e a distribuição posterior p(θ|X) é proporcional ao produto entre a verossimilhança p(X|θ) e a priori p(θ), de forma que se obtém
p(θ|X) ∼ Beta(α∗, β∗), em que α∗ = α + x e β∗ = β + n − x.
Diante do exposto, é correto afirmar:
Diante do exposto, é correto afirmar:
Ano: 2025
Banca:
VUNESP
Órgão:
EsFCEx
Prova:
VUNESP - 2025 - EsFCEx - Oficial - Especialidade: Estatística |
Q3512560
Estatística
Considere um modelo autorregressivo de ordem 2, AR(2), dado por: Zt
= 0,5Zt – 1 + 0,3Zt – 2 + at.
A função densidade espectral desse modelo é dada por:
A função densidade espectral desse modelo é dada por:
Ano: 2025
Banca:
VUNESP
Órgão:
EsFCEx
Prova:
VUNESP - 2025 - EsFCEx - Oficial - Especialidade: Estatística |
Q3512559
Estatística
Sobre o alisamento ou a suavização exponencial simples, assinale a alternativa correta.
Ano: 2025
Banca:
VUNESP
Órgão:
EsFCEx
Prova:
VUNESP - 2025 - EsFCEx - Oficial - Especialidade: Estatística |
Q3512558
Estatística
Em uma fábrica de camisas, quando estas apresentam algum defeito leve, que não prejudique sua utilização,elas são comercializadas como segunda linha. A gerência considera satisfatório que até 15% das camisas sejamcomercializadas como segunda linha. Uma amostra de 400 camisas foi examinada, e a classificação mostrou 70 classificadas como segunda linha.
Verifique, pelo teste de uma proporção, ao nível de significância de 0,05, se há evidência de que o processo produtivo esteja produzindo mais de 15% de camisas comosegunda linha. Assinale a alternativa correta.
Dado: √51 = 7,14; √70 = 8,37, φ(1,645) = 0,95 e φ(1,96) = 0,975, sendo φ a função de distribuição acumulada normal padrão
Verifique, pelo teste de uma proporção, ao nível de significância de 0,05, se há evidência de que o processo produtivo esteja produzindo mais de 15% de camisas comosegunda linha. Assinale a alternativa correta.
Dado: √51 = 7,14; √70 = 8,37, φ(1,645) = 0,95 e φ(1,96) = 0,975, sendo φ a função de distribuição acumulada normal padrão
Ano: 2025
Banca:
VUNESP
Órgão:
EsFCEx
Prova:
VUNESP - 2025 - EsFCEx - Oficial - Especialidade: Estatística |
Q3512557
Estatística
Considerando os conceitos básicos dos testes estatísticos de hipóteses, é correto afirmar que
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