“教育数学”研究中的问题与建议

On the Problems and Suggestions of the Educational Mathematics

运用历史研究方法系统考察了现有教育数学研究成果，从研究定位和研究范式两个方面分析了教育数学研究中存在的问题，从教育数学的研究主体、研究定位、研究范式及与数学教育的关系4个方面提出了研究建议，认为教育数学不是独立于经验数学、基础数学、应用数学、人文数学的第五种数学形态，而是它们的综合；教育数学研究应根据数学教与学的实践需要，依据教育原理和儿童心理发展规律，从数学知识的由来、结构、类型、模型、方法5个方面，引导学生对数学教材中的数学知识进行多元意义建构，指导学生全面、深刻地理解和掌握数学的知识与技能、过程与方法，帮助学生形成数学的情感态度价值观．

The paper examines the existing educational mathematics research with the historical research method, analyzes theproblems existing in the education of mathematical research from two aspects of research orientation and research paradigm, andputs forward some suggestions from four aspects including the research subject, research orientation, research paradigm and therelationship with the mathematics education research. The main points of view as follows： The educational mathematics is not thefifth mathematics morphology being different from the experience mathematics, basic mathematics, applied mathematics andhumanities mathematics, but their comprehensive; The educational mathematics research should be done according to the practiceof mathematics teaching and learning needs, according to the principle of education and children＇s psychological law ofdevelopment, from the origin of the mathematics knowledge, structure, type, model, method, in order to guide students toconstruct multiple meanings of mathematical knowledge in the mathematics teaching material, guide students to understandcomprehensively and profoundly and grasp mathematics knowledge and skills, process and method, mathematics emotionalattitude and values.