According to National Curriculum Framework 2005, which of the following represents one of the recommendations to improve mathematics teaching and learning. ?

Option 1 : Changing modes of assessment to examine students' mathematisation abilities rather than rocedural knowledge. 

The National curriculum framework (NCF) 2005 is India's 4th national curriculum framework which was released in 2005 by the National Council of educational research and training (NCERT). Its predecessors were released in 1975, 1988, and 2000 respectively.

• It serves as a guideline for syllabus, textbooks, and teaching practices for the schools in India.

• Recommendations of NCF 2005 to improve mathematics teaching and learning-
  • ​Shifting the focus of mathematics learning from achieving narrow content goals to achieving higher goals of creating mathematical learning environments, where processes such as problem-solving, heuristics, estimation, approximation, visualization, etc take place.
  • Changing modes of assessment to examine students' mathematization abilities rather than procedural knowledge.
  • Providing a sense of accomplishment to every student while also posing intellectual challenges to the aspiring mathematician.
  • Providing teachers with a variety of mathematical resources.

Hence, we conclude that 'changing modes of assessment to examine students' mathematization abilities rather than procedural knowledge' is one of the recommendations to improve mathematics teaching and learning.

Hint

• The practice approach should not be encouraged as it is ineffective when teaching more abstract concepts and when it is used too often it's hard for students to focus and concentrate on the concept.
• Teachers should be trained so that they can help students to mathematize their thought processes.