Analysis of errors in math categories

This page shows the results of joint analysis of user's errors in math categories for four performed tasks. Math categories comprise objectives, definitions, rules and formulas. You see the total number of errors and used hints per particular category. Observe that the main source of errors are problems with objectives of solution steps; accordingly, the recommended methodical exercise trains an ability to define objectives.

Analysis: math categories - All performed tasks

Contents

	Methodical recommendations:
	Table
	Plot

Methodical recommendations:

Perform the task

Rational equations

Quadratic equations

Equations. Method of substitution. Grouping method

Solve the equation

{(- 40 y^{2} + 26 y - 3)}^{2} + {(20 y^{2} - 13 y + 6)}^{2} = {(- 20 y^{2} + 13 y - 2)}^{2} + 2 \cdot (20 y^{2} - 13 y + 6) \cdot (- 40 y^{2} + 26 y - 3)

Solve the problem with the following technique(s)

	Scheme "To relate the step with category 7"
	Scheme "To relate categories with the step 7"
	Scheme "To select for transformation 1"

Table

Mathematical categories	Errors:	Hints:	Total:
Objective of the step	35	18	53
Formula	15	10	25
Formulation	8	11	19
Definition	5	11	16
Step	7	9	16

Plot

Utrecht, The Netherlands