摘要:逻辑推理是数学核心素养、学习活动的核心内容.如何通过几何教科书中恰当的呈现方式承载逻辑推理重任,一直是数学课程改革与实施所关注的焦点之一.选取中国大陆C-PEPM、中国香港H-XSDM、新加坡S-SM、英国E-ML、澳大利亚AU-HMZ和美国A-CM六个版本初中数学教科书,针对几何内容从推理呈现方式和深度层级这两个维度进行比较与研究,发现直观辨析、实验演示、归纳推理和演绎推理这四种推理方式运用广泛,且直观辨析和实验演示比重普遍较高,演绎证明在C-PEPM中占30%,H-XSDM中近10%,其他版本很少使用;类比推理最高比重只有3.91%,使用比重最小.概念和命题的深度层级主要分布在层级2、3上,其中层级2比重最多,层级4只有C-PEPM和H-XSDM涉及.几何推理深度依次以C-PEPM、A-CM、H-XSDM、S-SM、AU-HMZ和E-ML降序排列.%Logical reasoning is the key element of key competency of mathematics and study activities. How to choose the proper presence of geometrical knowledge in mathematical textbooks, which is functional education of logical reasoning, is one of heated topics focused by mathematical curriculum reform and implemented. This comparative study is in two dimensions, and one is the reasoning pattern with six types: visual discrimination, experimental demonstration, induction reasoning, analogic reasoning, deductive reasoning, deductive proof, the other is the levels of reasoning depth:level 1、level 2、level 3 and level 4, which is worked on six different versions of geometrical textbooks used in Chinese mainland C-PEPM, Hong Kong H-XSDM, Singapore S-SM, England E-ML, Australia AU-HMZ and America A-CM in middle school level. It is found that visual discrimination, experimental demonstration, induction reasoning and deductive reasoning have comprehensive using, but only the first two of them have highlighting in using percentage. Deductive proof was used in C-PEPM and H-XSDM mostly. The percentage of the former is nearly 30%, the latter is near to 10%. The most weakness is analogic reasoning using in whole comparative books because the highest percentage is 3.91% in C-PEPM. The depth levels of six textbooks are focus on level 2 and level 3, and the former percentage is more. C-PEPM and H-XSDM are only two versions which have level 4. The decreasing ranking of reasoning depth is C-PEPM、A-CM、H-XSDM、S-SM、AU-HMZ and E-ML.