The document discusses e-assessment and the opportunities and challenges of using symbolic systems for mathematical input. It provides examples of how symbolic systems can assess student input for symbolic equivalence. While symbolic systems offer benefits like varied question types and assessing symbolic input, challenges remain in processing complex mathematical input. Analysis of student responses to test questions on specific mathematical concepts provides insights into their skills and knowledge in areas like algebra and fractions. Opportunities for e-assessment include use of digital pens, intelligent feedback, and diagrammatic or mathematical input.

1. On e-Assessment [email_address] [email_address]

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6. Analysis d-value = (F1/n1) – (F2/n2) Measures discriminating power of an item

7. Analysis 29% 13%

8. Responses for Q14 v = u + a t (v-u)/a 36% v-u/a 4% v/(u+a) 2% (u+a)/v 3% u-v/a 1% ((v)-(u))/a 1% (v-u)/a=t 1%

9. User Input for Q15 R1+R2 or r1 + r2 13% (R1R2)/(R1+R2) or (R1R2)/(R2+R1) 5% 3 2% 1/((1/R1)+(1/R2)) 5% (r1r2)/r2+r1 1% (r1xr2)(r2+r1) 1%

11. Skills/Concepts Map 1 1 0 0 0 0 1 0 15 1 0 0 0 0 0 1 0 14 1 0 0 0 0 1 0 1 13 1 0 0 0 0 1 0 0 12 1 1 0 1 0 0 1 1 11 0 0 1 1 0 1 0 1 10 1 0 0 0 1 0 1 1 9 0 1 1 1 0 0 1 1 8 0 1 1 1 0 0 1 1 7 0 1 1 0 0 0 1 1 6 0 1 1 1 0 0 1 1 5 1 0 1 0 0 0 1 1 4 1 0 1 0 0 0 1 1 3 0 0 0 0 0 0 0 1 2 0 0 0 0 0 0 0 1 1 formula manipulation algebraic fractions indices fractional arith linear eq worded problem algebra arithmetic

12. Performance of a student … 1 Arithmetic 2 Algebra 3 Worded problems 4 Linear equations 5 Fractional arithmetic 6 Indices 7 Algebraic fractions 8 Formula manipulation