Mathematics Pedagogy - 2 - Free MCQ Practice Test with solutions, CTET

A reaction to didactic approaches such as behaviorism and programmed instruction, constructivism states that learning is an active, contextualized process of constructing knowledge rather than acquiring it. Knowledge is constructed based on personal experiences and hypotheses of the environment.

NCF 2005 emphasizes on Constructivist Approach to learning as it focuses on the active participation of learner through engaging activities. Hence, option (C) is correct.

The learning of mathematics requires more of practice and exercise. Exercise should be short and distributed over a period of time. In this work students revise the knowledge already learnt so, new fact or rules should not be given in drill work. Variety of problems will make the drill interesting.

The lecture method is a teacher-centered method. In this method, the teacher is an active participant and the child is a passive learner. This is not a psychological method. In this method, the teacher speaks or delivers a lecture on a particular topic and the children listen. It is one-way traffic because the teacher gives ideas and the children receive them. There are three steps in the process of lecture method:

1. Planning by the teacher
2. Presentation by the teacher
3. Receiving by the learner

Here, the teacher plan the topic that he needs to teach to students, then he presents it to students, and at last, students listen to it and receive the information from the teacher.

Inclusive education emphasizes integrating all students, including backward children, into regular classrooms rather than segregating them into special schools. Additionally, teachers are encouraged to adjust their teaching pace to meet the diverse learning needs of all students, rather than teaching at a fast speed which may not be suitable for every learner.

Therefore, both statements I and II are not aligned with the principles of inclusive education, making "None of these" the correct answer.

Self-study means learn by himself. It enables the students to make use of their knowledge learnt in the class in solving various problems. It ensures regular progress of the students and helps in developing the interest of the students in the subject.

The problem-solving method stresses learning by doing, experimenting, and finding solutions through experience.
This idea is central to Pragmatism, which believes:

• Knowledge must be practical and useful

• Learning should take place through real situations

• Students learn best when they actively solve problems rather than memorize facts

Therefore, the method of problem solving reflects the philosophy of Pragmatism, not Naturalism, Idealism, or Realism.

Parallelogram and triangle are related to each other when a parallelogram is divided from its diagonal, it will form a triangle.

Option D, is the correct answer. As when the paper will be folded from the diagonal of a parallelogram, it will be divided into two triangles.

Formative Assessment in Mathematics at primary stage includes identification of learning gaps and deficiencies in teaching.

Drill work is based on the psychological principles such as learning by doing and law of exercise. It’s means to strengthen the knowledge already acquired. Drill is not mere a repetition of an act. It is a serious work activity leading to perfection of the skill. Practice may be a right synonym for drill. It provides opportunity of self-Improvement. One cannot achieve speed and accuracy in solving mathematical problems without a good practice. But, the practice should be done with understanding and with a clear idea of the objectives and goals. This technique of teaching is widely used by the teachers to revise a lesson that has already been taught.

The given task in question is assessment for learning. Assessment for Learning is the process of seeking and interpreting evidence for use by learners and their teachers to decide where the learners are in their learning, where they need to go and how best to get there.

Statements I is the advantage of drill work but statements II is disadvantage of drill work.

Dr. Benjamin S. Bloom (1956) has classified the changes of behavior in three categories or domains- cognitive, affective and psychomotor domain. Dr. Benjamin S. Bloom and his associates in the university of Chicago gave the classification of objectives of all the three domains.

1. Classification of cognitive domain or objectives by Bloom(1956)
2. Affective domain by Krathwal(1964)
3. Psychomotor domain by Simpson(1969)

Mapping strengthens spatial thinking, promotes proportional reasoning and can be integrated in many topics of mathematics. So, mapping is a part of mathematics curriculum. Therefore, option B is not correct regarding the mapping in mathematics.

Student can reason with simple arguments about geometrical figures is a characteristics shown in level of Abstraction.
Whereas statement II i.e. Student is able to appreciate the role of definition, axioms , postulates and theorem in geometry is shown by learners in Deduction level.

Thus statement I is correct whereas statement II is wrong.

The lecture method is a teacher-centered method. In this method, the teacher is an active participant and the child is a passive learner. This is not a psychological method. In this method, the teacher speaks or delivers a lecture on a particular topic and the children listen. It is one-way traffic because the teacher gives ideas and the children receive them. There are three steps in the process of lecture method:

1. Planning by the teacher
2. Presentation by the teacher
3. Receiving by the learner

Here, the teacher plan the topic that he needs to teach to students, then he presents it to students, and at last, students listen to it and receive the information from the teacher.

It is said that experience is the most expensive thing in the world. Mathematics allows students to learn the input of learning directly and afterwards. These experiences help in promoting interest in learner’s minds.

Mathematics does help in training and disciplining the mind. It develops the power of thinking and reasoning and gives mental exercise best fitted for strengthening the faculties of the mind.

A locate specific learning and instructional difficulties is the main aim of prognosis. Prognosis has the administrative function such as;

*classification

*promotion and gradation of students

*selection