Mathematics
Mathematics in TS TET Paper 1 carries 30 marks and splits between content up to Class V and the pedagogy of teaching it. The content is not the hard part - place value, four operations, fractions, measurement, geometry and data handling - but the pedagogy items ask you to name the child's error, the stage of geometric reasoning, or the right teaching aid.
Content rules worth locking down
- 1 is neither prime nor composite; 2 is the only even prime.
- Place value vs face value: in 4,506 the face value of 5 is 5, its place value is 500.
- Fraction addition needs a common denominator: 3/4 + 2/3 = 9/12 + 8/12 = 17/12, not 5/7.
- Perimeter is a length (cm); area is squared (cm²). 1 m² = 10,000 cm².
- 1.5 hours = 1 hour 30 minutes, not 1 hour 50 minutes.
Pedagogy frameworks
- NCF 2005 states the aim of maths teaching as the mathematisation of the child's thought, not mere numeracy.
- Van Hiele levels - visualisation → analysis → informal deduction → formal deduction → rigour; primary children reason visually.
- CPA sequence - concrete (Dienes blocks, fraction strips) → representational (drawings) → abstract (symbols).
- Polya - understand, plan, carry out, look back.
- Diagnostic teaching - locate the error, reteach the concept, not the algorithm.
Worked example
A child writes 3/4 + 2/3 = 5/7. Diagnosis: the child applies a whole-number schema, adding numerators and denominators, and has no part-whole concept of unlike-denominator fractions. Remedy: overlap fraction strips or folded paper to show equivalence, convert to twelfths, then generalise to LCM. More drill on the same rule will fail.
Traps
Reading the 5/7 error as carelessness; confusing area and perimeter in word problems; attaching squared units to perimeter; and answering Van Hiele questions with Piaget's stage names.