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Here's an example of the technique for "teaching to the test": the formula you use should include all the numbers in the question. For example, if the question
by pps43 11y ago
Here's an example of the technique for "teaching to the test": the formula you use should include all the numbers in the question. For example, if the question is "find the angle alpha in this right triangle" and gives lengths of the two sides, you know the answer should be some function of these two numbers (and nothing else).
More importantly, non-interactive nature of the test does not allow for follow-up questions. A few follow-up questions on oral exam let the examiner probe a lot deeper in less time, therefore getting a much better picture of student's ability and skill level.
- yummyfajitas 11y agoI think a very important part of learning math is learning that it's not magic or memory, it's just mechanical procedure transforming inputs to outputs (and therefore the output must contain the input). I.e., you aren't just teaching the test, you are also improving understanding. Now consider a question like "length of alpha, beta=2, gamma=3, a) sqrt(2^2+3^2) b) sqrt(2+3), c) 2^2+3^2, d) 7". Using your heuristic the student can rule out (d) and has a 33% chance of getting the right answer. The test reveals (averaging this over many questions) that they know a little bit, but nothing close to 100%.
- pps43 11y agoThe test would reveal that the student knows a little bit about taking the test. The heuristic would still work even if the test was written in Russian and the student did not understand a single word in the question.