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IGNOU B.Ed ES-342 Solved Assignment 2013
ES-342 : TEACHING OF MATHEMATICS

Assignment 1
Answer the following questions
i) Explain the nature of Mathematics.(250 words)
Solution:

Mathematics reveals hidden patterns that help us understand the world around us. Now much more than arithmetic and geometry, mathematics today is a diverse discipline that deals with data, measurements, and observations from science; with inference, deduction, and proof; and with mathematical models of natural phenomena, of human behavior, and of social systems. As a practical matter, mathematics is a science of pattern and order. Its domain is not molecules or cells, but numbers, chance, form, algorithms, and change. As a science of abstract objects, mathematics relies on logic rather than on observation as its standard of truth, yet employs observation, simulation, and even experimentation as means of discovering truth. The special role of mathematics in education is a consequence of its universal applicability. The results of mathematics--theorems and theories--are both significant and useful; the best results are also elegant and deep. Through its theorems, mathematics offers science both a foundation of truth and a standard of certainty. In addition to theorems and theories, mathematics offers distinctive modes of thought which are both versatile and powerful, including modeling, abstraction, optimization, logical analysis, inference from data, and use of symbols. Experience with mathematical modes of thought builds mathematical power--a capacity of mind of increasing value in this technological age that enables one to read critically, to identify fallacies, to detect bias, to assess risk, and to suggest alternatives. Mathematics empowers us to understand better the information-laden world in which we live. =============================================================

ii) Discuss the importance, use and limitation of ‘Drill and Practice’ or play way method of teaching of mathematics with suitable examples.(250 words)

Solution:
It refers to small tasks such as the memorization of spelling or vocabulary words, or the practicing of arithmetic facts and may also be found in more supplicated learning tasks or physical education games and sports. Drill-and-practice, like memorization, involves repetition of specific skills, such as addition and subtraction, or spelling. To be meaningful to learners, the skills built through drill-and-practice should become the building blocks for more meaningful learning. Importance:

Drill & Practice can provide an important "practice phase" to instruction and can be useful for learning information that requires fluency such as math skills, vocabulary, spelling and foreign languages. Uses:

Drill and practice software is one of the earliest types of educational software. Many educators have criticized the use of drill and practice software claiming they are boring and do not utilize the full capabilities of the computer for higher level learning objectives. However, drill and practice does have its place in the overall learning environment. Drill and practice software is not intended to teach new concepts, but instead reinforce concepts already taught through review and practice. It provides immediate, relevant feedback and prevents students from learning something incorrectly. Drill and practice allows students to work at their own pace while focusing on skills they need to work on rather than forcing them to work on concepts they already know. Drill and practice can also help identify mastery of a skill for both the student and the teachers. Limitations:

* Many are poorly designed
* Usually lack high tech graphics and sound effects
* Limited uses
* Can lead to boredom through repetition
* Does not promote higher level thinking
================================================================================ iii) You as a mathematics teacher must have felt the...
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