Teaching Methods of Mathematics in English
Teaching Methods of Mathematics
Pedagogy is a subject of paramount importance for examinations designed to assess teaching aptitude. In the context of various Teacher Eligibility Tests—including the Primary TET, Upper Primary TET, Central TET, and even the School Service TET—it is customary for questions to be drawn from the field of Pedagogy, specifically focusing on Subject-Specific Pedagogy. To provide aspiring candidates with a clear and comprehensive understanding of this discipline, and to highlight the pedagogical approaches relevant to each specific subject, we have launched this dedicated Pedagogy section. One of the sub-sections within this category is: Mathematics Pedagogy. Within the scope of Mathematics Pedagogy, we will now discuss the topic titled “Teaching Methods of Mathematics.”
Teaching Methods of Mathematics
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1. What is meant by teaching method?
Answer: The principles and methods used by teachers to select and present the curriculum elements in a well-organized manner to make the learning interesting and easy for the students to understand are called teaching methods. In other words, the teaching method is the application of any method by adjusting the space-time-material with the educational task to present the learning subject to the students easily and accurately. The suitability of any method depends on who, how, on whom, and for what purpose will apply that method. Teaching Methods of Mathematics
2. What are the important teaching methods used in mathematics education?
Answer: The important teaching methods used in mathematics education are: i) Inductive & Deductive Method, ii) Synthesis & Analysis Method, iii) Observation Method, iv) Experimentation Method, v) Demonstration Method, vi) Problem Solving Method, v) Project Method, etc.
3. Which is the oldest method of teaching mathematics?
Answer: The oldest and most basic method of teaching mathematics is the ascending-descending method. This method is a combination of ascending and descending approaches. This method is used more or less in other methods of teaching mathematics.
4. What is meant by the ascending method of teaching mathematics?
Answer: The literal meaning of the word ascending is: ‘to climb up step by step’. In this way, ascending is the presentation of specific rules to solve something step by step. That is, in mathematics, the process of observing a specific or specific process and collecting all the information of each step and reaching a specific formula or principle is called the ascending method.
5. What are the general aspects of the ascending method?
Answer: There are several general aspects of the ascending method, namely: i) In this method, general conclusions can be reached from specific examples. ii) This method leads from concrete to abstract concepts. iii) The ascending method helps to move from known to unknown and from simple to complex content.
6. What are the steps of teaching through the ascending method?
Answer: The steps of the ascending method are: i) Selection of examples, ii) Observation of examples, iii) Search and analysis, iv) Establishment of general relationships, v) Search for general formulas, v) Determination or search for truth, etc. Teaching Methods of Mathematics
7. What are the advantages of the ascending method?
Answer: The advantages of the ascending method are: i) This method helps to understand various concepts of mathematics in accordance with psychology. ii) This method develops the ability to evaluate logically. ii) Through the active participation of students in learning, the student gets the opportunity to observe and explore in this method. iv) As this method moves from known to unknown, the student’s learning becomes meaningful, as a result, the student’s confidence increases and the tendency to memorize decreases. v) As this method gradually progresses towards general rules, the concept and formula of mathematics are easily understood by the student and become stable in memory.
8. What are the disadvantages of the ascending method?
Answer: The disadvantages of the ascending method are: i) Such a method is laborious and time-consuming. ii) Due to its limited scope, it is not possible to apply it to all areas of mathematics. iii) This method is not suitable for higher-level mathematics education as it only helps in establishing formulas or rules. iv) The decision obtained in this method may sometimes not be considered as a final decision.
9. In which areas of mathematics is the ascending method more suitable?
Answer: In all areas of mathematics where the ascending method is more suitable, the following are: i) For creating mathematical rules through generalization. ii) In determining mathematical definitions and formulas and iii) In generalizing various mathematical subjects.
10. What is meant by the descending method of teaching mathematics?
Answer: The word descent means: ‘to descend from a place downwards’, that is, to find a solution to something using a predetermined general method or formula. In mathematics, this method seeks solutions from formulas or rules. That is, the descent method is to find concrete things using abstract things as a medium. Teaching Methods of Mathematics
11. What are the general aspects of the descent method?
Answer: The general aspects of the descent method are: i) This method is directed from general truths to determining the truth of a specific field. ii) Through the descent method, unknown things are searched for from a known thing. iii) Concrete examples are presented through abstract rules. iv) It is possible to bring complex rules into simple examples.
12. What are the steps of teaching through the descent method?
Answer: The steps of teaching through the descent method are: i) Problem identification, ii) Investigation of experimental projects, iii) Project formation, iv) Project verification, etc.
13. What are the advantages of the descending method?
Answer: The advantages of the descending method are: i) This method takes less effort and time as a problem is solved through a predetermined formula. ii) Such a method is concise, elegant and logical. iii) The student’s memory improves as a lot of formulas, rules, mathematical variations have to be remembered to solve the problem through this method. iv) This method is easy and convenient in practicing the subject, which improves the speed and efficiency of problem solving.
14. What are the disadvantages of the descending method?
Answer: The disadvantages of the descending method are: i) Such a method is not based on psychological principles. ii) This method is not ideal for students with weak memory, and if not practiced repeatedly, this method loses its effectiveness even in strong memory. iii) In this method, mathematical formulas, rules, and concepts have to be recalled from memory to solve problems, so the tendency to memorize increases among students. iv) This method is not suitable for lower-level students as it hinders the expression of originality and creativity of students. Teaching Methods of Mathematics
15. In which areas of mathematics is the descending method more suitable?
Answer: In all areas of mathematics, the descending method is more suitable: i) For solving mathematical problems through established rules, formulas, and generalizations ii) For storing formulas, rules, postulates, axioms, mathematical equations in the memory of students, etc.
16. What is meant by Synthetic Method in Mathematics Teaching?
Answer: The literal meaning of the word synthesis is: ‘unification of fragmented parts’. That is, while performing a task, combining the separate units related to that task and performing a comprehensive task to reach the intended goal. In mathematics teaching, the synthetic method in mathematics teaching is the reconstruction of the entire problem by combining the different parts of the given problem according to the conditions during the solution.
17. What are the characteristics of the synthetic method?
Answer: The important characteristics of the synthetic method are: i) This method is the result of the thinking process. ii) It is possible to reach a conclusion in a concise way through this method. iii) Even if the truth of the steps of this method is understood, the explanation is not possible. iv) This method is demonstrable, concise and elegant. v) Any mathematical proof can be presented in a concise and beautiful way in this method.
18. What are the importance of the synthetic method in mathematics teaching?
Answer: The advantages or importance of the synthesis method in teaching mathematics are: i) This method is logical and the student moves from concrete to abstract concepts. ii) This method is concise and elegant and is very effective for slow learners. iii) Teaching in this method is able to strengthen the memory of students as well as increase the problem-solving skills and speed of students. iv) Textbooks are written in the synthesis method. Teaching Methods of Mathematics
19. What are the disadvantages of the synthesis method in teaching mathematics?
Answer: The disadvantages of the synthesis method in teaching mathematics are: i) This method does not provide an opportunity for discovery or investigation, as a result of which the student remains inactive and becomes addicted to memorization. ii) Since all the steps of this method cannot be explained, if any step cannot be remembered, it hinders the solution of the problem. iii) This method is not suitable for classroom teaching, and the student may not fully understand this method. Teaching Methods of Mathematics
20. What is meant by the analysis method in teaching mathematics?
Answer: Analysis refers to the process of dividing a subject into small parts and reaching a known subject from it. In mathematics, the analytical method is to reach the solution of the whole part by analyzing an unknown subject into different components and finding its solution. In this method, a decision is considered correct when each of the components is solved.
21. What are the characteristics of the analytical method?
Answer: The characteristics of the analytical method are: i) In this method, each stage of the proof is clear. ii) This method proceeds from abstract to concrete concepts. iii) The method is in accordance with psychology. iv) It is possible to achieve excellence in mental abilities due to the opportunity to use the intellect. Teaching Methods of Mathematics
22. What are the importance of the analytical method in teaching mathematics?
Answer: The importance of the analytical method in teaching mathematics is: i) In this method, the student can understand each step and can explain the reason why he is doing them. ii) It is able to instill a desire for exploration and discovery in the students. iii) As students actively participate in learning, any solution process remains in their memory for a long time. The thinking and judgment power of the student develops.
23. What are the disadvantages of the analytical method in teaching mathematics?
Answer: The disadvantages of the analytical method in teaching mathematics are: i) The method is long and time-consuming. ii) This method cannot be applied in all areas of mathematics. iii) Students with low standards cannot adapt to this method. iv) It is difficult to acquire problem-solving skills and speed in this method.
24. What is the Observation Method as a Mathematics Teaching Method?
Answer: The ideal way to gain knowledge in any subject is to observe information and events. When a student observes a subject with the help of a teacher and collects information about that subject in order to develop mathematical knowledge, it is called teaching by the observation method. By utilizing the natural curiosity of the student, the teacher motivates them in this way for effective teaching.
25. How many stages of observation method are followed in mathematics teaching?
Answer: Five stages of observation method are followed in mathematics teaching, namely: i) Content Selection, ii) Fixation of Definite Aims, iii) Proper Planning, iv) Data Collection and v) Concept Formation. ➣ Next Part
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