Mathematics for Bihar STET Paper I
Mathematics carries 30 marks in Paper I and combines content up to Class V with primary mathematics pedagogy. Content questions reward procedural accuracy; pedagogy questions ask how children build number sense, handle errors and move from concrete objects to symbols.
Content rules
- Place value: each position is ten times the value of the position to its right; zero acts as a placeholder.
- Fractions: equivalent fractions; division by a fraction means multiplying by its reciprocal.
- Decimals, percentage and unitary method; average as total divided by number of items.
- Geometry: angle types; perimeter is boundary length, area is surface covered.
- Measurement: 1 m = 100 cm, but 1 m² = 10,000 cm².
Pedagogy
NCF 2005 aims at the mathematisation of the child's thought, not mere computation. Use the concrete–pictorial–abstract sequence. Van Hiele levels describe geometry learning from visualisation to analysis and informal deduction. Polya's steps are understand, plan, solve, review; error analysis and diagnostic teaching precede remediation.
Worked example
3/4 ÷ 1/2 = 3/4 × 2/1 = 6/4 = 3/2 = 1½. Reasoning: dividing by 1/2 asks how many halves fit into three-quarters. One half fits, and half of another half remains, giving 1½. The common error is multiplying 3/4 × 1/2 = 3/8 instead of using the reciprocal.
Traps
Do not add denominators when adding fractions; do not confuse area and perimeter; convert units before calculating; translate 5 less than x as x − 5, not 5 − x.