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Ano: 2026
Banca:
Marinha
Órgão:
ESCOLA NAVAL
Prova:
Marinha - 2026 - ESCOLA NAVAL - Aspirante - 1º Dia |
Q4277330
Inglês
Texto associado
To Type or to Write, That Is the Question
At the highest level of learning, should you type or
write by hand?
[1] Research by Mueller and Oppenheimer (2014)
compared students who typed lecture notes on laptops
with those who wrote them by hand during the same time.
[2] In terms of immediate results, laptop users typed and
recorded more words during the lectures, and their notes
were aimost word-for-word transcripts of the lectures. The
initial assumption was that this would ultimately be
beneficial for these students compared with those who
were handwriting their notes.
[3] After the lectures, the two groups of students in this
study were tested on the information presented. The
results showed that students who wrote by hand during
lectures scored significantly higher on the tests than those
who typed.
[4] The immediate question was: "Why was this the case?"
Muelier and Oppenheimer (2014) found that students who
handwrote their notes were consistently engaged in higherlevel thinking. This meant that throughout their lectures,
these students were actively listening and intellectually
analyzing what to record. This led to higher knowledge-based outcomes.
[5] Luo et al. (2018) found that handwritten notes contained
more meaningful content (such as deeper thought and
greater intellectual structure), resulting in higher scores on
knowledge-based tests.
[6] Morehead et al. (2019) confirmed that the benefits of
handwriting are most evident when students are assessed
on higher-order conceptual understanding rather than on
memorizing facts.
[7] These studies confirm that handwriting is an essential
cognitive process and a highly beneficial intellectual
activity that enhances learning at advanced levels of
education and that begins from the first day of school and
continues thereafter.
Handwriting Helps to Advance Knowledge and
Enhance Ideas
[8] This evidence from university classrooms illustrates a
broader principle: handwriting for note-taking is a deeper
thinking skill. When students write by hand, they actively
select and synthesize information.
[9] This process requires them to decide what is essential,
how ideas connect, and how best to represent them in their
own words. The research indicates that this type of
engagement develops, advances, and enhances critical
thinking (defined as the ability to analyze, evaluate, and
make reasoned, detailed judgments), because handwriting
forces students to process information conceptually rather
than transcribe it verbatim.
[10] The research also indicates that this process helps to
develop higher-order thinking, which involves analyzing,
applying, synthesizing, and evaluating information. This
then develops a deeper knowledge potential. Additionally, as confirmed by classroom studies and evidence from
neuroscience, handwriting activates broader brain
networks than typing.
[11] Building on this, some studies explain that the ongoing
substitution of handwriting by typewriting in almost every
educational setting may seem somewhat misguided, as it
could negatively affect the learning process.
[12] However, Van der Weel and Van der Meer (2024)
emphasise the importance of staying current in this everchanging digital world. With this in mind, they state that
children must, first and foremost, learn handwriting. Only
after they are absoiutely proficient, especially at complex
narrative handwriting, should typing be considered.
(Adapted from: https://www.psychologytoday.com)
According to the text, Mueller and Oppenheimer
discovered that:
Ano: 2026
Banca:
Marinha
Órgão:
ESCOLA NAVAL
Prova:
Marinha - 2026 - ESCOLA NAVAL - Aspirante - 1º Dia |
Q4277329
Inglês
Texto associado
To Type or to Write, That Is the Question
At the highest level of learning, should you type or
write by hand?
[1] Research by Mueller and Oppenheimer (2014)
compared students who typed lecture notes on laptops
with those who wrote them by hand during the same time.
[2] In terms of immediate results, laptop users typed and
recorded more words during the lectures, and their notes
were aimost word-for-word transcripts of the lectures. The
initial assumption was that this would ultimately be
beneficial for these students compared with those who
were handwriting their notes.
[3] After the lectures, the two groups of students in this
study were tested on the information presented. The
results showed that students who wrote by hand during
lectures scored significantly higher on the tests than those
who typed.
[4] The immediate question was: "Why was this the case?"
Muelier and Oppenheimer (2014) found that students who
handwrote their notes were consistently engaged in higherlevel thinking. This meant that throughout their lectures,
these students were actively listening and intellectually
analyzing what to record. This led to higher knowledge-based outcomes.
[5] Luo et al. (2018) found that handwritten notes contained
more meaningful content (such as deeper thought and
greater intellectual structure), resulting in higher scores on
knowledge-based tests.
[6] Morehead et al. (2019) confirmed that the benefits of
handwriting are most evident when students are assessed
on higher-order conceptual understanding rather than on
memorizing facts.
[7] These studies confirm that handwriting is an essential
cognitive process and a highly beneficial intellectual
activity that enhances learning at advanced levels of
education and that begins from the first day of school and
continues thereafter.
Handwriting Helps to Advance Knowledge and
Enhance Ideas
[8] This evidence from university classrooms illustrates a
broader principle: handwriting for note-taking is a deeper
thinking skill. When students write by hand, they actively
select and synthesize information.
[9] This process requires them to decide what is essential,
how ideas connect, and how best to represent them in their
own words. The research indicates that this type of
engagement develops, advances, and enhances critical
thinking (defined as the ability to analyze, evaluate, and
make reasoned, detailed judgments), because handwriting
forces students to process information conceptually rather
than transcribe it verbatim.
[10] The research also indicates that this process helps to
develop higher-order thinking, which involves analyzing,
applying, synthesizing, and evaluating information. This
then develops a deeper knowledge potential. Additionally, as confirmed by classroom studies and evidence from
neuroscience, handwriting activates broader brain
networks than typing.
[11] Building on this, some studies explain that the ongoing
substitution of handwriting by typewriting in almost every
educational setting may seem somewhat misguided, as it
could negatively affect the learning process.
[12] However, Van der Weel and Van der Meer (2024)
emphasise the importance of staying current in this everchanging digital world. With this in mind, they state that
children must, first and foremost, learn handwriting. Only
after they are absoiutely proficient, especially at complex
narrative handwriting, should typing be considered.
(Adapted from: https://www.psychologytoday.com)
In the extract "the ongoing substitution of handwriting by
typewriting in almost every educational setting may seem
somewhat misquided" (paragraph 11), the word
"misquided" means:
Ano: 2026
Banca:
Marinha
Órgão:
ESCOLA NAVAL
Prova:
Marinha - 2026 - ESCOLA NAVAL - Aspirante - 1º Dia |
Q4277328
Inglês
Texto associado
To Type or to Write, That Is the Question
At the highest level of learning, should you type or
write by hand?
[1] Research by Mueller and Oppenheimer (2014)
compared students who typed lecture notes on laptops
with those who wrote them by hand during the same time.
[2] In terms of immediate results, laptop users typed and
recorded more words during the lectures, and their notes
were aimost word-for-word transcripts of the lectures. The
initial assumption was that this would ultimately be
beneficial for these students compared with those who
were handwriting their notes.
[3] After the lectures, the two groups of students in this
study were tested on the information presented. The
results showed that students who wrote by hand during
lectures scored significantly higher on the tests than those
who typed.
[4] The immediate question was: "Why was this the case?"
Muelier and Oppenheimer (2014) found that students who
handwrote their notes were consistently engaged in higherlevel thinking. This meant that throughout their lectures,
these students were actively listening and intellectually
analyzing what to record. This led to higher knowledge-based outcomes.
[5] Luo et al. (2018) found that handwritten notes contained
more meaningful content (such as deeper thought and
greater intellectual structure), resulting in higher scores on
knowledge-based tests.
[6] Morehead et al. (2019) confirmed that the benefits of
handwriting are most evident when students are assessed
on higher-order conceptual understanding rather than on
memorizing facts.
[7] These studies confirm that handwriting is an essential
cognitive process and a highly beneficial intellectual
activity that enhances learning at advanced levels of
education and that begins from the first day of school and
continues thereafter.
Handwriting Helps to Advance Knowledge and
Enhance Ideas
[8] This evidence from university classrooms illustrates a
broader principle: handwriting for note-taking is a deeper
thinking skill. When students write by hand, they actively
select and synthesize information.
[9] This process requires them to decide what is essential,
how ideas connect, and how best to represent them in their
own words. The research indicates that this type of
engagement develops, advances, and enhances critical
thinking (defined as the ability to analyze, evaluate, and
make reasoned, detailed judgments), because handwriting
forces students to process information conceptually rather
than transcribe it verbatim.
[10] The research also indicates that this process helps to
develop higher-order thinking, which involves analyzing,
applying, synthesizing, and evaluating information. This
then develops a deeper knowledge potential. Additionally, as confirmed by classroom studies and evidence from
neuroscience, handwriting activates broader brain
networks than typing.
[11] Building on this, some studies explain that the ongoing
substitution of handwriting by typewriting in almost every
educational setting may seem somewhat misguided, as it
could negatively affect the learning process.
[12] However, Van der Weel and Van der Meer (2024)
emphasise the importance of staying current in this everchanging digital world. With this in mind, they state that
children must, first and foremost, learn handwriting. Only
after they are absoiutely proficient, especially at complex
narrative handwriting, should typing be considered.
(Adapted from: https://www.psychologytoday.com)
After tests were applied to students, the results
demonstrated that students who wrote by hand during the
lectures:
Ano: 2026
Banca:
Marinha
Órgão:
ESCOLA NAVAL
Prova:
Marinha - 2026 - ESCOLA NAVAL - Aspirante - 1º Dia |
Q4277327
Matemática
Considere a figura abaiхo.
Sabendo que o octógono é regular de lado 8, tal que a reta que contém o segmento IH intersecta o ponto C, calcule a razão entre a área do triângulo IEG e a área do octógono regular ABCDEFGH e assinale a opção correta.
Ano: 2026
Banca:
Marinha
Órgão:
ESCOLA NAVAL
Prova:
Marinha - 2026 - ESCOLA NAVAL - Aspirante - 1º Dia |
Q4277326
Matemática
Seja f a função real definida por f(x) = cos(2 arc cos(x)), em que -1 ≤ x ≤ 1. Sendo assim, qual dos gráficos abaixo melhor representa g (x) = 1 / f (x) ?
Ano: 2026
Banca:
Marinha
Órgão:
ESCOLA NAVAL
Prova:
Marinha - 2026 - ESCOLA NAVAL - Aspirante - 1º Dia |
Q4277325
Matemática
Um veículo custa atualmente R$ 150.000,00. O
interessado na aquisição do veículo percebeu que este
apresentou duas perdas sucessivas de 10% e 30% ao
longo de dois anos sobre o valor adquirido. Tentando não
ter tanta perda, propôs vender o seu veículo com um
acréscimo de 40% do valor atual do veículo. Sendo assim,
assinale a opção que apresenta por quanto o proprietário
venderá o veículo.
Ano: 2026
Banca:
Marinha
Órgão:
ESCOLA NAVAL
Prova:
Marinha - 2026 - ESCOLA NAVAL - Aspirante - 1º Dia |
Q4277323
Matemática
Sejam f e g duas funções definidas por f(x) = ax² -7 e
g(x) =-x² + 1, a IR. Assinale a opção que apresenta o
valor de a para que os gráficos de f e g se intersectem ortogonalmente.
Ano: 2026
Banca:
Marinha
Órgão:
ESCOLA NAVAL
Prova:
Marinha - 2026 - ESCOLA NAVAL - Aspirante - 1º Dia |
Q4277322
Matemática
Os aspirantes da Escola Naval estavam estudando Série com a professora de Cálculo II, com o subtítulo de identidades algébricas. Dessa forma, foi proposta a simplificação do seguinte polinômio:
Sendo assim, após a simplificação, é correto afirmar que o aspirante deverá encontrar a seguinte simplificação:
Ano: 2026
Banca:
Marinha
Órgão:
ESCOLA NAVAL
Prova:
Marinha - 2026 - ESCOLA NAVAL - Aspirante - 1º Dia |
Q4277321
Matemática
Assinale a opção que apresenta a valor de 
Ano: 2026
Banca:
Marinha
Órgão:
ESCOLA NAVAL
Prova:
Marinha - 2026 - ESCOLA NAVAL - Aspirante - 1º Dia |
Q4277320
Estatística
Em um pleito eleitoral no Brasil, as eleições são divididas
em dois turnos. Sabe-se que existem 5 (cinco) candidatos
para a disputa para a presidência da República no Brasil.
As pesquisas eleitorais são permitidas de acordo com as
leis vigentes do país. Um instituto de pesquisa de
notoriedade revelou que a probabilidade de um candidato
"A" ganhar em primeiro turno da eleição é igual à
probabilidade de "B" ganhar. A probabilidade de "C"
ganhar é um terço desta probabilidade, enquanto a
probabilidade de "D" ganhar é igual à de "E" ganhar,
correspondendo ao dobro da probabilidade de "C" ganhar.
Supondo que "A" e "D" tenham passado para o segundo
turno da eleição, mantendo-se proporcionalmente as
chances de ganhar, calcule a probabilidade de "A" vencer
no segundo turno e assinale a opção correta.
Ano: 2026
Banca:
Marinha
Órgão:
ESCOLA NAVAL
Prova:
Marinha - 2026 - ESCOLA NAVAL - Aspirante - 1º Dia |
Q4277319
Matemática
Sejam g e f funções reais definidas por f(x) = x4 - 3x² e
g(x) = x². Assinale a opção que apresenta o valor da área
delimitada pelas intersecções das curvas.
Ano: 2026
Banca:
Marinha
Órgão:
ESCOLA NAVAL
Prova:
Marinha - 2026 - ESCOLA NAVAL - Aspirante - 1º Dia |
Q4277318
Matemática
Suponha que um ponto material desloca-se sobre a curva
xy = 4 de modo que a velocidade de y tenha um valor
constante igual a α ∈ R*. Assinale a opção que apresenta
a aceleração da abscissa quando x = 2.
Ano: 2026
Banca:
Marinha
Órgão:
ESCOLA NAVAL
Prova:
Marinha - 2026 - ESCOLA NAVAL - Aspirante - 1º Dia |
Q4277317
Matemática
Sejam f e g funções reais definidas por f(x) = 2x e
g(x) = x². Calcule o volume do sólido de revolução, em
torno do eixo x, com x ∈ [0; 5), a partir da área delimitada
pelas intersecções dessas funções, e assinale a opção
que apresenta o valor aproximado.
Dado: In (2) ≅ 0.7
Ano: 2026
Banca:
Marinha
Órgão:
ESCOLA NAVAL
Prova:
Marinha - 2026 - ESCOLA NAVAL - Aspirante - 1º Dia |
Q4277316
Matemática
Calcule 
e assinale a opção correta.
e assinale a opção correta.
Ano: 2026
Banca:
Marinha
Órgão:
ESCOLA NAVAL
Prova:
Marinha - 2026 - ESCOLA NAVAL - Aspirante - 1º Dia |
Q4277315
Raciocínio Lógico
Sabe-se que em matemática uma proposição ou sentença
é toda oração declarativa que pode ser classificada em
verdadeira ou falsa. Sejam "m" e "n" proposições lógicas,
considere que (m⭢n) ⟺ (~n⭢~m). Assim, assinale a
opção que apresenta a sequência lógica da relação
(~ n ⭢ ~ m).
Ano: 2026
Banca:
Marinha
Órgão:
ESCOLA NAVAL
Prova:
Marinha - 2026 - ESCOLA NAVAL - Aspirante - 1º Dia |
Q4277314
Matemática
Seja f uma função real definida por f(x)= - x + 1 / x2-1. Qual dos gráficos abaixo melhor representa a função?
Ano: 2026
Banca:
Marinha
Órgão:
ESCOLA NAVAL
Prova:
Marinha - 2026 - ESCOLA NAVAL - Aspirante - 1º Dia |
Q4277313
Matemática
Considere as retas (r): x-1/1 = y-2 / 2 = z/3 e a reta
Calcule o cosseno do ângulo entre as retas e assinale a opção correta.
Ano: 2026
Banca:
Marinha
Órgão:
ESCOLA NAVAL
Prova:
Marinha - 2026 - ESCOLA NAVAL - Aspirante - 1º Dia |
Q4277312
Matemática
Considere a equação da curva, no R²: x² +16y² + 2mxy - 1 =0. Qual é o valor estabelecido plenamente
sobre "m" de modo que a curva represente uma
hipérbole?
Ano: 2026
Banca:
Marinha
Órgão:
ESCOLA NAVAL
Prova:
Marinha - 2026 - ESCOLA NAVAL - Aspirante - 1º Dia |
Q4277311
Matemática
Seja f uma função definida por f(x) = arcsen (2x-1 / x+2) + arccos (2x-1 / x+2). Assinale a opção que apresenta a área da
região limitada pelo gráfico f, pelo eixo x e pelas retas
verticais que delimitam o domínio da função.
Ano: 2026
Banca:
Marinha
Órgão:
ESCOLA NAVAL
Prova:
Marinha - 2026 - ESCOLA NAVAL - Aspirante - 1º Dia |
Q4277310
Matemática
Sejam f e g funções reais definidas por f(x) = 2x e g(x) = x². Calcule o volume do sólido de revolução, em torno do eixo x, com x ∈ [0; 5), a partir da área delimitada pelas intersecções dessas funções, e assinale a opção que apresenta o valor aproximado.
Dado: In(2) ≅ 0.7
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