Practice Test: Mathematics Pedagogy - 5 - CTET & State TET MCQ

Inquiry based lesson plan gives the explanatory details of the topic. Hence Exposition is the correct answer as it means descriptive study.

Both statements are correct as people who have special gift or at least have the potential for gifted performance, may go through life unrecognised. Especially when the students belong to poor families or minority groups, they may be deprived of chance to demonstrate and develop their potential.

In addition to theorems and theories, mathematics offers distinctive mode of thought which are both versatile and powerful, including mathematical modelling, abstraction, optimisation, logical analysis, inference from data and use of symbols. Due to diverse application of mathematics, the various mathematical tools are required which are interlinked with each other. It is the tall shape of mathematics. Many concepts are needed to be learnt sequentially in mathematics. Only after mastering arithmetic, algebra is learnt, and only when one can factor polynomials, is able to understand trigonometry, and so on. Thus, since each theme is built on another, it results in a tall shape. This makes it difficult for children; someone who finds one stage difficult finds it hard to catch up later.

A teacher introduced multiplication in her class as repeated addition and then by grouping of same number of objects taken multiple times she introduced the‘×’ symbol and further conducted a small activity of finding product using criss-cross lines or matchsticks. Here the teacher is developing a lesson and taking students ‘from concrete to abstract concept’.

Mathematics is an important subject in school curriculum. It is more closely related to our daily life. Engineering, banking and other business are directly linked with mathematics. In the absence of it students would not get any opportunity for mental training. Student’s intellectual development might be affected. So Kothari commission suggested science and mathematics should be taught on a compulsory basis to all pupils as a part of general education during first ten years of schooling.

In a Mathematics classroom, emphasis is placed on mathematical content, process and reasoning. In an effective mathematics classroom, The teacher challenges students to think deeply about the problems they are solving, reaching beyond the solutions and algorithms required to solve the problem. The teacher poses questions that not only stimulate students’ innate curiosity, but also encourages them to investigate further. The teacher constantly builds students’ sense of efficacy and instills in her students a belief that not only is the goal of “doing mathematics” attainable, but also they are personally capable of reaching that goal. Mathematics is not presented as something magical or mysterious.

The Comprehensive and Continuous Evaluation (CCE) provides accommodation for individual differences. It aims at fastening individual ability of children and helps them to realize their potentialities. It presents a combination of internal and external evaluation. The objectives of CCE are the elimination of excessive element of chance and subjectivity and elimination on emphasis of memorization.

Akanksha wants to become a good mathematics teacher. To be a good mathematics teacher she must have conceptual knowledge, understanding and ability to relate content of Mathematics of real life.

Logical intelligence is high in Priya. People with logical/ Mathematical intelligence are good at scientific investigations and identifying relationship between different things and are also good at understanding complex and abstract ideas.

Mathematics is the science of space, quantity, structure and change.

Mental Maths at primary level is important as it lays the foundation for more complex maths.

Achievement test measures the progress made on the curriculum taught to a group. A diagnostic test measures an individual's academic problem areas. Thus, the differences between the two is only of their objective.

At a psychological level, exposure to Mathematics helps in developing an analytic mind and assists in better organisation of ideas.

The relevance of an evaluation is determined by the degree to which it measures the pupil's growth towards realisation of specific objectives of the Mathematics curriculum.

Well designed objective type tests are generally more valid, reliable and objective than essay test because
(a) They sample material more broadly.
(b) Discrimination between performance levels is easier to detennine.
(c) Scoring consistency is virtually guaranteed.

Communication in Mathematics develops the ability to organize, consolidate, and express mathematical thinking among students.

Aims of encouraging mathematical communication in the classroom:

• Enabling learners to reason logically.
• Enhancing mathematical understanding.
• Making learners able to assimilate mathematical terms.
• Enabling learners to express mathematical thoughts and ideas.
• Developing the ability to recognize the patterns of mathematical thought.
• Enabling learners to use precise language while talking about mathematical statements and using them.

Hence, it could be concluded that Communication in Mathematics class refers to developing an ability to organize, consolidate and express mathematical thinking.

There are two kinds of aims in mathematics for school education such as broader and narrower aims.

Narrower aim-

• to develop numeracy related skills
• to develop ‘useful’ capabilities particularly those relating to numeracy- numbers, number operations, measurements, decimals and percentages

Broader aim-

• Problem- solving
• Use of heuristics
• Estimation and approximation
• Optimisation
• Use of patterns
• Visualization
• Representation
• Reasoning and proof
• Making connections
• Mathematical communication

Hence, we conclude that to make students proficient in handling numbers and number operations is one of the narrow aims of NCF.

Teaching effectively involves not only the use of tools, techniques, and strategies to optimize student learning but an understanding of context, in particular how your students learn, how they process information, what motivates them to learn more, and what impedes the learning process. There are different kinds of teaching-learning methods in a fashion which makes learning a fruitful process.

Role Play: This method is based on playing the roles of some people from the areas of concern to the participants who play the roles. This method emphasizes the active participation of the learner.

• In this technique, participants create believable and realistic characters that have a vested interest in the character.
• Role play is the most suitable strategy to teach the skill of the addition of money.
• The learner should however concentrate on how accurately he/she thinks through the mind of the person or model whose role is being played.
• The main purpose of role-playing is the development of social skills or the ability to develop interpersonal relationships and to understand interpersonal problems. 

Hence, from the above-mentioned points, it becomes clear that Role play is the most suitable strategy to teach the skill of the addition of money.

Teaching aid is an important component of the teaching-learning process which helps the teacher to make the teaching of a specific lesson/unit interesting. The use of teaching aids in the teaching process makes the teaching-learning process more stimulating, more reinforcing, and more effective.