Mathematics: Content and Pedagogy - TNTET Paper I
Mathematics is 30 marks in TNTET Paper I. Content is drawn from Classes I–V: place value, the four operations, fractions, decimals, measurement, geometry, patterns and data handling. Pedagogy items ask how children build these ideas and how errors are diagnosed.
Core rules
- Place value: each place is ten times the place on its right. In 4,73,825 the 7 is in the ten-thousands place, so its value is 70,000; zero holds an empty place.
- Operations: regroup carefully; follow DMAS/BODMAS - brackets, orders, division and multiplication from left to right, then addition and subtraction.
- Fractions: compare by cross multiplication; add or subtract only after making denominators equal; multiply numerators and denominators; divide by multiplying by the reciprocal.
- Decimals: tenths, hundredths, thousandths; line up decimal points when adding or subtracting.
- Measurement: 10 mm = 1 cm, 100 cm = 1 m, 1000 m = 1 km; 1000 g = 1 kg; 1000 mL = 1 L.
- Geometry: point, line, ray and line segment; perimeter is the boundary length, area is square-unit coverage.
- Pedagogy: concrete → pictorial → abstract; manipulatives such as Dienes blocks and fraction strips; Polya's problem-solving steps; error analysis before reteaching.
Worked example
Add 3/4 and 5/6. The LCM of 4 and 6 is 12, so 3/4 = 9/12 and 5/6 = 10/12. Adding numerators gives 19/12, or 1 7/12. Reasoning: denominators name the size of the parts, so they must match before the parts can be counted; only numerators are added.
Traps
Never add denominators. Do not confuse perimeter with area, or write 1 m = 100 mm. Check regrouping across zeros, and remember division by zero is undefined. In word problems, match the unit before calculating.