Acquiring The Principles Of Mathematics And Science Reading Answer

IELTS Academic Reading Passage

It has been pointed out that learning mathematics and science is not so much learning facts as learning ways of thinking. It has also been emphasised that in order to learn science, people often have to change the way they think in ordinary situations. For example, in order to understand even simple concepts such as heat and temperature, ways of thinking of temperature as a measure of heat must be abandoned and a distinction between ‘temperature’ and ‘heat’ must be learned. These changes in ways of thinking are often referred to as conceptual changes. But how do conceptual changes happen? How do young people change their ways of thinking as they develop and as they learn in school?

B

Traditional instruction based on telling students how modern scientists think does not seem to be very successful. Students may learn the definitions, the formulae, the terminology, and yet still maintain their previous conceptions. This difficulty has been illustrated many times, for example, when instructed students are interviewed about heat and temperature. It is often identified by teachers as a difficulty in applying the concepts learned in the classroom; students may be able to repeat a formula but fail to use the concept represented by the formula when they explain observed events.

C

The psychologist Piaget suggested an interesting hypothesis relating to the process of cognitive change in children. Cognitive change was expected to result from the pupils’ own intellectual activity. When confronted with a result that challenges their thinking – that is, when faced with conflict – pupils realise that they need to think again about their own ways of solving problems, regardless of whether the problem is one in mathematics or in science. He hypothesised that conflict brings about disequilibrium, and then triggers equilibration processes that ultimately produce cognitive change. For this reason, according to Piaget and his colleagues, in order for pupils to progress in their thinking they need to be actively engaged in solving problems that will challenge their current mode of reasoning. However, Piaget also pointed out that young children do not always discard their ideas in the face of contradictory evidence. They may actually discard the evidence and keep their theory.

D

Piaget’s hypothesis about how cognitive change occurs was later translated into an educational approach which is now termed ‘discovery learning’. Discovery learning initially took what is now considered the Tone learner’ route. The role of the teacher was to select situations that challenged the pupils’ reasoning; and the pupils’ peers had no real role in this process. However, it was subsequently proposed that interpersonal conflict, especially with peers, might play an important role in promoting cognitive change. This hypothesis, originally advanced by Perret- Clermont (1980) and Doise and Mugny (1984), has been investigated in many recent studies of science teaching and learning.

E

Christine Howe and her colleagues, for example, have compared children’s progress in understanding several types of science concepts when they are given the opportunity to observe relevant events. In one study, Howe compared the progress of 8 to 12-year-old children in understanding what influences motion down a slope. In order to ascertain the role of conflict in group work, they created two kinds of groups according to a pre-test: one in which the children had dissimilar views, and a second in which the children had similar views.

They found support for the idea that children in the groups with dissimilar views progressed more after their training sessions than those who had been placed in groups with similar views. However, they found no evidence to support the idea that the children worked out their new conceptions during their group discussions, because progress was not actually observed in a post-test immediately after the sessions of group work, but rather in a second test given around four weeks after the group work.

F

In another study, Howe set out to investigate whether the progress obtained through pair work could be a function of the exchange of ideas. They investigated the progress made by 12-15-year-old pupils in understanding the path of falling objects, a topic that usually involves conceptual difficulties. In order to create pairs of pupils with varying levels of dissimilarity in their initial conceptions, the pupils’ predictions and explanations of the path of falling objects were assessed before they were engaged in pair work. The work sessions involved solving computer- presented problems, again about predicting and explaining the paths of falling objects. A post-test, given to individuals, assessed the progress made by pupils in their conceptions of what influenced the path of falling objects.

Questions 1-6

Reading Passage 2 has SIX paragraphs, A-F.

Choose the correct heading for paragraphs A-F from the list of headings below. Write the correct number, i-ix.

List of Headings

i.  A suggested modification to a theory about learning.

ii.  The problem of superficial understanding.

iii.  The relationship between scientific understanding and age.

iv.  The rejection of a widely held theory.

v.  The need to develop new concepts in daily life.

vi.  The claim that a perceived contradiction can assist mental development.

vii.  Implications for the training of science teachers.

viii.  An experiment to assess the benefits of exchanging views with a partner.

ix.  Evidence for the delayed benefits of disagreement between pupils.

    1. Paragraph A
    2. Paragraph B
    3. Paragraph C
    4. Paragraph D
    5. Paragraph E
    6. Paragraph F

    Questions 7-8

    Choose TWO letters, A-E.

    The list below contains some possible statements about learning.

    Which TWO of these statements are attributed to Piaget by the writer of the passage?

    A. Teachers can assist learning by explaining difficult concepts.

    B. Mental challenge is a stimulus to learning.

    C. Repetition and consistency of input aid cognitive development.

    D. Children sometimes reject evidence that conflicts with their preconceptions.

    E. Children can help each other make cognitive progress.

    Questions 11-13

    Complete the summary below.

    Choose NO MORE THAN TWO WORDS from the passage for each answer.

    How children learn

    Piaget proposed that learning takes place when children encounter ideas that do not correspond to their current beliefs. The application of this theory gave rise to a teaching method known as 11…………………

    At first this approach only focused on the relationship between individual pupils and their

    12………………….

    Later, researchers such as Perret-Clermont became interested in the role that interaction with 13………………..        might also play in a pupil’s development..

    IELTSVisa Logo

    Solution:Acquiring The Principles Of Mathematics And Science Reading Answer

    1. v 8. B OR D IN EITHER ORDER
    2. ii 9. A OR E IN EITHER ORDER
    3. vi 10. A OR E IN EITHER ORDER
    4. i 11. discovery learning
    5. iv 12. teacher
    6. viii 13. peers
    7. B OR D IN EITHER ORDER
    R

    Review and Practice

    • Regularly practice with IELTS reading samples and time yourself to get used to the pressure of the exam.
    • Review your mistakes to understand where you went wrong and how to avoid similar errors in the future.

    Our Books

    Master IELTS Speaking Part 1

    IELTS Writing Task 1 Book

    IELTS Writing Task 2 Book

    Acquiring the principles of mathematics and science Reading Answer Explanation

    Question NO Question Types Answer Keywords Supporting Sentence Location of Keywords Explanations
    1 Solution and Explanation The need to develop new concepts in daily life Concepts, learn, knowledge, science “In order to learn science, people often have to change the way they think in ordinary situations” Paragraph A; lines 2-4 The paragraph emphasizes the requirement and process of learning new science concepts. Hence, this title suits the paragraph.
    2 Solution and Explanation The problem of superficial understanding Superficial, half-knowledge, concepts “Students may be able to repeat a formula but fail to use the concept represented by the formula when they explain observed events.” Paragraph B; lines 2-4 This paragraph discusses the problem of students memorizing concepts and formulas without understanding them or being able to apply them practically, which constitutes superficial knowledge.
    3 Solution and Explanation The claim that a perceived contradiction can assist mental development Contradiction, problem, concept, reasoning, understanding, ideas “When confronted with a result that challenges their thinking – that is, when faced with conflict – pupils realize that they need to think again about their own ways of solving problems, regardless of whether the problem is one in mathematics or in science.” Paragraph C; lines 3-7 This section explains the common phenomenon of introspecting when an idea is challenged. Confronting contradictions compels one to rethink and research more, even outside their domain.
    4 Solution and Explanation A suggested modification to a theory about learning Cognitive, teacher, teaching, peers “The role of the teacher was to select situations that challenged the pupils’ reasoning, and the pupils’ peers had no real role in this process. However, it was subsequently proposed that interpersonal conflict, especially with peers, might play an important role in promoting cognitive change.” Paragraph D; lines 4-6 The paragraph suggests modifying the theory of learning by including peer interactions as important for cognitive development, rather than just teacher-guided reasoning.
    5 Solution and Explanation The rejection of a widely held theory Pre-test, group, children, conception “However, they found no evidence to support the idea that the children worked out their new conceptions during their group discussions.” Second half of Paragraph F; lines 3-7 The hypothesis that group discussions help children form new conceptions was rejected because there was no evidence to support it.
    6 Solution and Explanation An experiment to assess the benefits of exchanging views with a partner Experiment, pupil, ideas, conception “Create pairs of pupils with varying levels of dissimilarity in their initial conceptions, the pupils’ predictions and explanations of the path of falling objects were assessed before they were engaged in pair work.” Paragraph F; lines 5-8 The author investigates the benefits of exchanging ideas in pairs before submitting their answers and assesses progress through computer-based tasks.
    7 Choose TWO letters B and D Challenge, stimulus, cognitive, learning, conflicts, evidence “When confronted with a result that challenges their thinking – that is, when faced with conflict – pupils realize that they need to think again about their own ways of solving problems, regardless of whether the problem is one in mathematics or in science. However, Piaget also pointed out that young children do not always discard their ideas in the face of contradictory evidence. They may actually discard the evidence and keep their theory.” Paragraph C; last 3 lines Piaget’s theory suggests that challenges and conflicts stimulate cognitive thinking, but young children may not always adjust their theories in the face of contradiction, making both statements valid.
    8 Choose TWO letters Same as 7 Same as 7 Same as 7 Same as 7 Same as 7
    9 Statements are attributed A and E Pre-test, group, session “Howe compared the progress of 8 to 12-year-old children in understanding what influences motion down a slope.” “Progress was not actually observed in a post-test immediately after the sessions of group work, but rather in a second test given around four weeks after the group work.” Paragraph E; lines 4-6 The passage mentions a study where children were assessed on their understanding of motion, grouped into pairs, and tested after a delay to track progress.
    10 Statements are attributed Same as 9 Same as 9 Same as 9 Same as 9 Same as 9
    11 Fill in the blanks Discovery learning Hypothesis, learning, cognitive “Piaget’s hypothesis about how cognitive change occurs was later translated into an educational approach which is now termed ‘discovery learning.'” Paragraph D; lines 1-3 Piaget’s theory of cognitive change was later applied in educational contexts as “discovery learning,” an approach focusing on student-driven exploration.
    12 Fill in the blanks Teacher Learning, teacher, peers “The role of the teacher was to select situations that challenged the pupils’ reasoning.” Paragraph D; lines 4-6 The focus of discovery learning is on the teacher’s role in creating a challenging environment to promote cognitive growth.
    13 Fill in the blanks Peers Peers, learning, hypothesis “It was subsequently proposed that interpersonal conflict, especially with peers, might play an important role in promoting cognitive change.” Paragraph D; lines 6-8 Later research discovered that peer interactions, particularly conflicts, are critical in promoting cognitive development in students.

    Practice IELTS Other Modules

    IELTS Listening

    The IELTS Listening test assesses how well you can understand spoken English in various contexts. It lasts about 30 minutes and is divided into four sections with a total of 40 questions. The listening tasks become increasingly difficult as the test progresses.

    IELTS Academic Reading

    The IELTS Academic Reading section assesses your ability to understand and interpret a variety of texts in academic settings. It is designed to evaluate a range of reading skills, including skimming for gist, reading for main ideas, reading for detail, understanding inferences, and recognizing a writer's opinions and arguments.

    IELTS Speaking

    The IELTS Speaking test assesses your ability to communicate in English on everyday topics. It lasts 11-14 minutes and consists of three parts: introduction, cue card, and a discussion based on the cue card topic.

    IELTS General Reading

    IELTS General Reading tests your ability to understand and interpret various types of texts. Here are some key areas and types of content you can expect to encounter in the reading section, along with tips for effective preparation.

    IELTS Academic Writing Task 1

    In IELTS Academic Writing Task 1, you are presented with a visual representation of information, such as graphs, charts, tables, or diagrams, and you are required to summarize, compare, or explain the data in your own words.

    IELTS General Writing Task 1

    In IELTS General Writing Task 1, you are required to write a letter based on a given situation. The letter can be formal, semi-formal, or informal, depending on the prompt. Here’s a breakdown of the key components to include in your letter

    IELTS Academic Writing Task 2

    In IELTS Academic Writing Task 2, you are required to write an essay in response to a question or topic. Here’s a guide to help you understand the essential elements of this task

    IELTS Exam Tips

    To succeed in the IELTS exam, practice regularly, familiarize yourself with the test format, improve your vocabulary, develop time management skills, and take mock tests to build confidence.

    Grammer for IELTS

    Grammar is the foundation of effective communication in English. Understanding tense usage, subject-verb agreement, and sentence structure enhances clarity and coherence in writing and speaking.

    Vocabulary for IELTS

    Vocabulary plays a crucial role in the IELTS (International English Language Testing System) exam, especially in the Speaking and Writing sections. Here’s an overview of why vocabulary is important and how it impacts your performance

    RECENT IELTS SAMPLES QUESTIONS AND ANSWERS

    Our IT Company Services

    Pin It on Pinterest

    Share This