高中生解答数学选择题的常用方法和猜测性问题的实证研究

Empirical Investigations about Commonly Used Methods of High School Students in Answering Mathematics Multiple-choice Questions and Answers by Guessing

基于对“测试题一”与“测试题二”的解答情况的统计分析，研究了高中生解答选择题的常用方法及其在解答中的猜测性问题，并为高中数学习题教学和选择题的编拟提出了相应的建议．研究的基本结论和教学建议是：（1）高中生解答数学选择题常用的和基本的解答方法主要有：直接法、排除法、数形结合法、猜测法：（2）对选择题和填空题的解答要有适当的“过程性要求”；（3）学生的猜测性解答，有些是“随机猜测”，更多的是合情猜测：（4）选择题的4个选择支的设计十分重要，3个诱误支要具有足够的迷惑性与诱误性：（5）谨防选择题考查意图的“旁落”．

By statistical analysis based on the answers of the test one and the test two, we investigate the common methods of high school students to answer mathematics multiple-choice questions, including answering by guessing. The basic conclusions of this study are as follows： （1） Direct answer method and indirect answer method are commonly used methods of high school students in answering mathematics multiple-choice questions; （2） Answers to Fixed answer-type questions should have appropriate procedural requirements; （3） About answers by guessing, some are random guessing, the more are sensible guessing; （4） The design of mathematics multiple-choice question is very important, the branch having mistakes should have enough confusing; （5） Beware of no achieving the intention of mathematics multiple-choice question.