21.

'It is more useful to know how to mathematise than to know a lot of Mathematics'. This statement is given by

• David Wheeler

• George Polya

• Van Hiele

• Vygotsky

As per NCF 2005, one main goal of Mathematics education in schools is to

• develop numeracy skills

• enhance problem solving skills

• nurture analytical ability

• mathematise the child's thought process

As per NCF 2005, Mathematics curriculum is ambitious, coherent and teaches important Mathematics. Here 'ambitious' refers to

• seek narrow aims of teaching Mathematics in school

• seek higher aims of teaching Mathematics in school

• teach more than one way of solving problems of Mathematics

• teach variety of Mathematics like arithmetic, algebra, geometry and data handling

Anil is able to answer all questions orally but commits mistakes while writing the solutions of problems. The best remedial strategy to remove errors in his writing is

• giving him an assignment of 10 problems everyday

• calling him out to solve a problem on the blackboard

• providing him with a worksheet with partially solved problems to complete the missing gaps

• giving him practice test after school hours, continuously for one month

A teacher asked the students to collect leaves and to identify symmetry patterns. This task reflects the teacher's efforts to

• relate real-life experience with mathematical concepts

• introduce an intradisciplinary approach

• enhance creativity amongst students

• improve mathematical communication

The twin premises to fix the place of Mathematics teaching in our school curriculum are

• "how to engage the mind of every student" and "how to strengthen the student's resources"

• "how to improve the reasoning ability of every student" and "how to enhance his spatial ability"

• "how to raise the performance of every student in Mathematics" and "how to prepare meritorious students for international olympiads"

• "how to make the Mathematics class more activity-oriented" and "how to enhance the procedural skills and understanding of algorithms in every student"

A teacher asked the students to find the number of possible pentominoes using 5 squares and then further explore the number of possible hexaminoes and so on. These types of activities help the child to

• improve the observation skills

• identify relation between number pattern and shapes

• improve spatial ability

• improve analytical ability

As per the vision statement of NCF 2005, School Mathematics does not take place in a situation, where children

• learn to enjoy Mathematics

• see Mathematics as a part of their daily life experience

• pose and solve meaningful problems

• memorise formulae and algorithms

With the help of'Geogebra' software, students can learn all concepts of geometry through

• exploratory approach

• inquiry-based approach

• project-based approach

• lecture-based approach

One of the major reasons for student's failure in Mathematics at school level is that our assessment process

• emphasizes on testing of procedural knowledge than mathematisation of abilities

• is gender-biased and asks problems relevant to boys' interests

• is more subjective in nature and less or no objective type of questions are included

• gives more weightage to formative assessment than summative assessment