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Question 141

MPTET Varg 3 2022• Mathematics

Herbert suggested five steps for preparing a daily lesson plan. The first step is the introduction. Morrison also suggested five steps for daily lesson plan. What is the first step suggested by Morrison?

  1. AOption (a)

    Objective writing

  2. BOption (b)

    Development questions

  3. COption (c)

    Exploration

  4. DOption (d)

    Recapitulatory questions

View answer & explanation

Correct answer

Answer: (c)C.

Exploration

Why this answer is correct

Morrison's Lesson Plan Model emphasizes a structured approach to teaching, and he suggested five steps for creating a daily lesson plan. Morrison's first step in the lesson planning process is exploration.

Key Points

  • Exploration: The first step suggested by Morrison is exploration. This stage involves introducing the topic to students in a way that allows them to explore the content, concepts, or ideas being taught.
  • Exploration aims to stimulate students' interest, curiosity, and prior knowledge about the topic. The goal is to set the stage for learning by allowing students to connect with the material in a meaningful way.
  • Teachers may use activities, questions, or discussions to allow students to actively engage with and explore the subject matter.
  • Presentation: In this step, the teacher presents the new information or concept to the students. This can be done through direct teaching, demonstrations, or guided instruction.
  • Assimilation: In this phase, students work to assimilate the new knowledge presented. They practice and work with the new concepts through exercises, activities, and guided practice.
  • Organization: The organization step involves helping students organize the new knowledge they have learned, often by relating it to their prior knowledge or by categorizing and systematizing the information.
  • Recitation: Recitation is the final step, where students are encouraged to articulate or demonstrate their understanding of the content. This can be done through summarization, question-answer sessions, or sharing their thoughts on the topic.

Hence, we can conclude that Exploration is the first step suggested by Morrison.

Question 142

MPTET Varg 3 2022• Mathematics

A child displays difficulty in differentiating between numbers, operations and symbols, two clock hands, different coins etc. This implies that the specific barrier affecting his learning is

  1. AOption (a)

    poor motor skills, reading and writing skills

  2. BOption (b)

    poor verbal, visual, auditory and working memory

  3. COption (c)

    poor visual processing ability i.e., visual discrimination, spatial organisation and visual coordination

  4. DOption (d)

    poor language processing ability i.e., expression, vocabulary and auditory processing

View answer & explanation

Correct answer

Answer: (c)C.

poor visual processing ability i.e., visual discrimination, spatial organisation and visual coordination

Why this answer is correct

The difficulty the child displays in differentiating between numbers, operations and symbols, clock hands, and different coins points to a problem with visual processing ability.

Key Points 

If a child has poor visual processing skills, they may struggle with:

  • Visual Discrimination: This is the ability to differentiate between similar-looking objects, symbols, or shapes. For example, differentiating between numbers such as 6 and 9, or mathematical symbols like + and ×. The child in the given scenario is having trouble distinguishing these types of items.
  • Spatial Organisation: This involves understanding and interpreting spatial relationships, such as identifying the correct position of clock hands or understanding the layout of numbers. The child may have difficulty determining which clock hand represents the hour and which represents the minute.
  • Visual Coordination: Visual coordination refers to the ability to accurately process visual information in coordination with the brain. For example, identifying different coins requires visually distinguishing subtle differences, which is challenging for a child with poor visual coordination.

Hence, we can conclude that that the specific barrier affecting his learning is poor visual processing ability i.e., visual discrimination, spatial organisation and visual coordination.

Question 143

MPTET Varg 3 2022• Mathematics

Which two numbers should be interchanged to make the given equation correct?

9 - 3 × 4 + 15 ÷ 6 = -10

  1. AOption (a)

    4 and 15

  2. BOption (b)

    9 and 6

  3. COption (c)

    3 and 6

  4. DOption (d)

    3 and 15

View answer & explanation

Correct answer

Answer: (c)C.

3 and 6

Why this answer is correct

Concept:

We use following steps to find the correct options

  1. Identify the given equation and analyze the current structure: 9 - 3 × 4 + 15 ÷  6 = -10

  2. Test each option by swapping the specified numbers and re-evaluating the equation using the correct order of operations.

  (i)  Perform any multiplication and division first, from left to right.

  (ii)  Follow up with addition and subtraction, also from left to right.

  1. After trying each pair of interchanged numbers, the goal is to find which combination results in the given answer (in this case, -10).

Explanation:

The given equation is

9 - 3 × 4 + 15 ÷ 6 = -10

 

Option 1: If we interchange 4 and 15, the new equation becomes

9 - 3 × 15 + 4÷  6

⇒ 9 - 3 × 15 + \(\frac{4}{6} \)= 9 - 45 + 0.67 = -36 + 0.67 = -35.33

This is not equal to -10.

Option 2: If we interchange 9 and 6

The new equation becomes,

6 - 3 ×4 + 15 ÷ 9

⇒ 6 - 3 × 4 + \(\frac{15}{9}\) = 6 - 12 + 1.67 = -6 + 1.67 = -4.33

This is not equal to -10.

Option 3: If we interchange 3 and 6, the new equation becomes

9 - 6 × 4 + 15 ÷ 3

⇒ 9 - 24 + \(\frac{15}{3} \) = 9 - 24 + 5 = -15 + 5 = -10

This is correct!

Option 4: If we Interchange 3 and 15, the new equation becomes:

9 - 15 × 4 + 3 ÷ 6

⇒ 9 - 60 + \(\frac{3}{6} \)= 9 - 60 + 0.5 = -51 + 0.5 = -50.5

This is not equal to -10.

The correct answer is Option 3.

Question 144

MPTET Varg 3 2022• Mathematics

Learning and acquisition can be automatically attained favoured by -

  1. Cognitivists

  2. Behaviourists

  1. AOption (a)

    Only 1 is correct

  2. BOption (b)

    Only 2 is correct

  3. COption (c)

    Both 1 and 2 is correct

  4. DOption (d)

    D Neither 1 nor 2

View answer & explanation

Correct answer

Answer: (a)A.

Only 1 is correct

Why this answer is correct

The idea that learning and acquisition can be automatically attained is more aligned with the perspective of cognitivists.

Key Points

  • Cognitivists believe that humans have an innate ability to acquire language and knowledge naturally, and this idea is often reflected in theories related to how children learn languages or develop cognitive skills.
  • According to Piaget, children go through stages of cognitive development, and their ability to understand and acquire knowledge progresses automatically as they interact with the environment.
  • This process involves active construction of knowledge, but the potential for such learning is automatic in the sense that it follows a natural progression based on cognitive development.
  • Behaviorists believe that learning is a result of conditioning—either classical or operant—and that it requires repeated reinforcement.
  • Learning is not innate or automatic in the same sense that cognitivists propose.
  • Instead, it is conditioned based on external stimuli, reinforcement, and repetition, which means it is not necessarily an "automatic" process. It requires structured stimuli and consequences to shape behavior.

Hence, we can conclude that only 1 is the correct answer.

Question 145

MPTET Varg 3 2022• Mathematics

A very common error observed in addition of linear expression is 5y + 3 = 8y. This type of error is termed as

  1. AOption (a)

    Clerical error

  2. BOption (b)

    Conceptual error

  3. COption (c)

    Procedural error

  4. DOption (d)

    Careless error

View answer & explanation

Correct answer

Answer: (b)B.

Conceptual error

Why this answer is correct

A conceptual error occurs when a person misunderstands a fundamental concept or principle related to a particular subject or topic.

Key Points

  • The given expression 5y + 3 = 8y demonstrates that the student has incorrectly added the variable term (5y) and the constant term (3).
  • Linear expressions like 5y + 3 involve combining like terms. In this case, the terms 5y (a variable term) and 3 (a constant term) are not like terms, which means they cannot be combined directly by simple addition.
  • The correct form of 5y + 3 should remain as it is since 5y and 3 are not like terms.
  • The student made an error in attempting to combine them into 8y, which reflects a misunderstanding of how to work with algebraic expressions and like terms.

Hence, we can conclude that this type of error is termed as Conceptual error.

Question 146

MPTET Varg 3 2022• Mathematics

Directions

What should come in place of question mark (?) in the following question?

[(8)2 × (15)2 + (24)2] = ?

  1. AOption (a)

    28

  2. BOption (b)

    64

  3. COption (c)

    26

  4. DOption (d)

    None of the given options

View answer & explanation

Correct answer

Answer: (d)D.

None of the given options

Why this answer is correct

Concept:

We need to evaluate the given mathematical expression by following the order of operations, commonly known as BODMAS/BIDMAS rules (Brackets, Orders (i.e. powers and roots, etc.), Division and Multiplication, Addition and Subtraction).

Calculation:

The question is to find the value of the expression:

[(8)2 × (15)2 + (24)2] = ?

First, calculate the squares:

(8)2 = 64

(15)2 = 225

(24)2 = 576

Now, substitute these values back into the expression:

[64 × 225 + 576]

Next, perform the multiplication:

64 × 225 = 14400

Then, add the result to 576:

14400 + 576 = 14976

Therefore, the value of the expression is 14976.

Hence, the correct answer is marked as Option 4.

Question 147

MPTET Varg 3 2022• Mathematics

When introducing mensuration, a teacher writes all the formulae on the board before proceeding further. This reflects that she is following the

  1. AOption (a)

    Deductive approach

  2. BOption (b)

    Inductive approach

  3. COption (c)

    Experimental approach

  4. DOption (d)

    Practical approach

View answer & explanation

Correct answer

Answer: (a)A.

Deductive approach

Why this answer is correct

In the deductive approach, the teacher begins by presenting general rules, principles, or formulas, and then proceeds to apply these rules to specific examples or problems.

Key Points

  • The deductive approach involves starting with general theories, principles, or formulas and then applying them to specific cases.
  • In this scenario, the teacher writes down all the formulas first, which are the general rules for mensuration, and then moves on to using them to solve problems or explain concepts.
  • The deductive approach is often teacher-centered, as the teacher directly presents the formulas or rules that the students need to use.
  • This means that students are not discovering the formulas on their own but are instead given them before seeing their practical application.
  • Once the formulas are provided, the students will then apply them to specific problems.
  • This follows the deductive reasoning pattern—starting from general principles and moving to specific applications.

Hence, we can conclude that she is following the Deductive approach.

Question 148

MPTET Varg 3 2022• Mathematics

Ankur got zero marks in a word problem on linear equations in an assessment. The teacher knows that he can solve linear equations correctly. The teacher ought to remark in his report

  1. AOption (a)

    Ankur has a problem in comprehending the language of the question, though he can solve the equations

  2. BOption (b)

    Ankur lacks concentration and hence has examination phobia

  3. COption (c)

    Ankur is not studying and practicing at home

  4. DOption (d)

    Ankur has not understood the concept of linear equations completely

View answer & explanation

Correct answer

Answer: (a)A.

Ankur has a problem in comprehending the language of the question, though he can solve the equations

Why this answer is correct

In this scenario, Ankur got zero marks in a word problem on linear equations, even though the teacher knows that he can solve linear equations correctly. This suggests that the problem lies not in Ankur's ability to solve linear equations but rather in his ability to understand the question itself.

Key Points

  • If Ankur can solve linear equations correctly but cannot solve a word problem involving linear equations, it indicates that he may have struggled to comprehend the language or context of the question.
  • Word problems often involve understanding a scenario and translating it into an equation, which requires good comprehension skills.
  • Ankur may have understood how to solve linear equations mathematically, but he may not have understood how to derive the equations from the word problem due to difficulty comprehending the language used in the question.
  • This is a common issue among students who understand mathematical operations but find it challenging to apply them in real-life or worded contexts.

Hence, we can conclude that the teacher ought to remark in his report as Ankur has a problem in comprehending the language of the question, though he can solve the equations.

Question 149

MPTET Varg 3 2022• Mathematics

The deductive method is a viable option in certain situations these can be:

  1. AOption (a)

    when dealing with highly motivated students

  2. BOption (b)

    teaching a particularly difficult concept

  3. COption (c)

    for preparing students to write exams

  4. DOption (d)

    All of the given option

View answer & explanation

Correct answer

Answer: (d)D.

All of the given option

Why this answer is correct

The deductive method is a teaching approach that involves starting with general principles, theories, or rules, and then moving on to specific examples or applications.

Key Points

  • Highly motivated students are often ready to absorb abstract principles and rules.
  • They tend to be more comfortable with complex logical structures, which makes the deductive method effective.
  • When general concepts are presented first, these students are often able to quickly connect these concepts to specific examples and practical applications.
  • For particularly difficult or complex concepts, the deductive method allows teachers to lay out a structured framework first.
  • By presenting a general rule or theory initially, the teacher helps students understand the foundation before moving on to specific examples or detailed applications.
  • The deductive method is often very effective in exam preparation because it focuses on rules, theories, and methods that students need to know to succeed in an exam setting.
  • Once students understand the general principles, they can practice applying them to exam-style questions.

Hence, we can conclude that All of the given option is the correct answer.

Question 150

MPTET Varg 3 2022• Mathematics

Which of the following teaching methods have been developed with the help of psychology

  1. AOption (a)

    Montessory method

  2. BOption (b)

    Project method

  3. COption (c)

    Dalton method

  4. DOption (d)

    All of the given option

View answer & explanation

Correct answer

Answer: (d)D.

All of the given option

Why this answer is correct

All of the mentioned teaching methods Montessori Method, Project Method, and Dalton Method have been developed with insights from psychology, focusing on the principles of child development, learning styles, and educational needs.

Key Points

  • The Montessori Method was developed by Maria Montessori, an Italian physician and educator.
  • The Montessori Method is based on the developmental psychology of children and emphasizes the natural growth and learning processes that occur during early childhood.
  • The Project Method is associated with John Dewey and William H. Kilpatrick.
  • The Project Method is based on the principles of constructivist psychology, which emphasizes that learners actively construct knowledge through experience.
  • The Dalton Plan, or Dalton Method, was developed by Helen Parkhurst.
  • The Dalton Method is built on principles related to student autonomy, self-paced learning, and independence.
  • These concepts are influenced by psychological theories that emphasize the importance of giving students responsibility for their own learning.

Hence, we can conclude All of the mentioned teaching methods Montessori Method, Project Method, and Dalton Method have been developed with insights from psychology.

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