Mathematics: Content and Pedagogy for Classes I–V
The Mathematics section (30 questions) mixes content up to Class V level with pedagogy: how children build number sense, where they go wrong, and which representation to use.
Content core
- Place value and Indian numeration (ones to lakh), rounding, four operations with word problems.
- Fractions: equivalence, comparison, addition/subtraction with different denominators; decimals to one or two places; money and measures.
- Geometry: point, line, ray, types of angles, symmetry, 2-D/3-D shapes, perimeter and area of rectangle/square.
- Patterns, simple data handling (tally, pictograph, bar graph), time and calendar.
Pedagogy core
- Concrete → pictorial → abstract (CPA) sequence; TLM such as Dienes blocks, fraction strips, geoboard, abacus.
- Van Hiele levels for geometry: visualisation before properties before proof.
- Error analysis as a diagnostic tool; maths anxiety reduced by multiple solution strategies.
Worked example
A child writes 1/2 + 1/3 = 2/5. Diagnosis: she is applying whole-number addition to fractions - a conceptual, not computational, error. Remedy: fold two identical paper strips into halves and thirds, shade, and compare with a strip folded into sixths; the child sees 3/6 + 2/6 = 5/6. Algorithm (LCM 6) comes after the visual, never before. Note 2/5 < 1/2, so estimation alone signals the answer is wrong - teach children to sanity-check.
Traps that cost marks
- Using "area" and "perimeter" interchangeably; perimeter units are cm, area cm².
- Treating 1/2 of a bigger whole as equal to 1/2 of a smaller whole.
- Teaching tables only by rote without place-value understanding.
- Ignoring the word-problem step of identifying what is asked.