A. Introduction
The fascinating world of mathematics provides an unlimited scope to mathematicians to perceive problems pertaining to three situations visualised in the forms of concrete, abstraction and intuition. However, due to abstraction and intuition, sometimes some of the mathematical concepts become quite complicated even for teachers who are actively engaged in mathematics teaching at various stages. This needs the exhaustive training in methods/ pedagogy as well as in contents. This also needs the clarificationsof mathematical concepts using instructional materials, experimentation, observation and practicals etc. to avoid the abstraction at various stages of schooling. Good mathematics instruction requires good teachers, and good teachers are those with pedagogical content knowledge who, in turn, are predominantly those with goodcontent. Improvement of school mathematics education therefore begins with teaching
teachers the mathematics they need. In other words, the most difficult demand forbecoming a good teacher is to achieve a firm mastery of the mathematical ontent . Without such a mastery, good pedagogy is difficult. A firm mastery of the content opens up the world of pedagogy and offers many more effective pedagogical possibilities. Even best pedagogy lavished on incorrect mathematics may result in poor quality in teaching
Mathematics as a science of abstract objects, relies on logic rather than on observation, yet it employs observation, simulation, and even experiments as means of discovering truth. The ability to reason and think clearly is extremely useful in our daily life, that is, developing children’s abilities for mathematisation is the main goal of mathematics education as has been emphasised in National Curriculum Framework-2005 (NCF-2005). It is in this content that NCF-2005 has set two distinct targets for mathematics education at school level viz. narrow and higher. The narrow aim of school mathematics is to develop useful capabilities, particularly those relating to numeracy- number, number operations, measurements, decimals and percentages. The higher aim is to develop the child’s resources to think and reason mathematically, to pursue assumptions to their logical conclusions and to handle abstractions. It includes a way of doing things, and the ability and the attitude to formulate and solve problems. This calls for curriculum to be ambitious in the sense that it seeks to achieve the higher aim mentioned above, rather than only the narrow aim. It should be coherent in
Please refer to attached file for NCERT Class 9 Maths Students’ Evaluation In Mathematics
