情理数学视域下的高阶思维培养教学探究

Pedagogical Inquiry on the Cultivation of Higher-order Thinking in the Perspective of Emotional and Rational Mathematics

情理数学以情和理为线索,以情驭理、情理相融,指向学生高阶思维的培养。高阶思维相对于低阶思维而言,是一种高层次的思维,包含批判性思维、创新性思维等。创新是民族进步的灵魂,是国家繁荣富强的不竭动力。创新意识培养是现代数学教育的基本任务,应充分体现在数学教与学的过程中。然而受到种种因素影响,学生“会听课,无兴趣;会解题,无体验;会发言,无思想;会考试,无能力”现象严重存在。情理数学通过“四环教学”,实施“三备、四放、五重、六融化”策略,激发学生学习的兴趣,高阶思维能力的培养得以在课堂真正发生,是破解长期困扰教师“四无问题”的良方。

Emotional and Rational Mathematics,guided by both emotions and rationality,integrates the two to cultivate students’high-order thinking.Higher-order thinking,in contrast to the lower-order one,is an advanced level of cognition that encompasses critical and innovative thinking.Innovation is the soul of national progress and an inexhaustible driving force for a country’s prosperity.Therefore,fostering a sense of innovation is a fundamental task in modern mathematics education.The cultivation of higher-order thinking is intricately linked to the development of innovative and critical thinking skills.However,due to various factors,students often exhibit a phenomenon of“listening carefully but lacking interest,solving problems v experience,speaking well but lacking thoughts,and passing exams but lacking ability.”Emotional and Rational Mathematics addresses these issues through a four-step teaching method,implementing strategies of“three preparations,four releases,five emphases,and six integrations.”By doing so,the cultivation of higher-order thinking can truly occur in classroom,providing for teachers a solution to the long-standing four problems.