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The MATH taxonomy by Smith, et. al. (1996) defines the difficulty level of mathematics assignments. This taxonomy has three levels: A (Reproduction); B (Connection) and C (Reasoning). These levels are further broken down into different sub levels as shown in Table.
Table: MATH Taxonomy by Smith, et. al., (1996).
Level
A: Reproduction |
Level B: Connection |
Level C: Reasoning |
A1: Factual knowledge A2: Comprehension A3: Routine use of |
B1: Information B2: Application in
new |
C1: Justifying and C2: Implications, C3: Evaluation |
Smith, G., Wood, L., Coupland, M., Stephenson, B., Crawford, K., Ball, G. (1996): Constructing mathematical examinations to assess a range of knowledge and skills, International Journal of Mathematical Education in Science and Technology, 27:1, 65-77.
Smith, G., Wood, L. (2000) Assessment of learning in university mathematics, International Journal of Mathematical Education in Science and Technology, 31 (1), 125-132.