本文以学习单在小学数学教与学过程中的的设计分析及应用为研究对象，在对教学结构、教学片段进行剖析，对师生展开调查访问，对教学效果予以比较分析的基础上，从关注学生自主参与学习的角度，设计小学数学学习单，以期建构满足小学生个性学习需求、贴合小学生个体认知的教学模式，同时力求为一线教师提供相应的参考与比照。 全文从理论和实践的两方面展开研究和分析，具体分为五个章节： 第一章：说明研究的背景，确定研究的目标与研究的主要内容，拟定研究的主要方法，研究意义及其创新。 第二章：笔者通过对国内外文献的收集整理和归纳分析，在对国内外“学习单”的研究现状了解分析以后，对“学习单”的概念进行了重新的定义；笔者通过对心理学、教育学及数学教材等相关理论书籍进行研读之后，对学习单的设计和应用找到了理论依据。 第三章：在相关案例的基础上，通过对学习单的分析，归纳总结比较小学数学学习单的设计要素，对其设计原则进行了深度的探析，通过与数学这门学科知识的特点进行结合，从而构建学习单的设计模板。 第四章：笔者针对课前、课中和课后的学习单，选择了几个典型的案例进行了分析，并在此基础上进行了总结和反思，研究学习单在小学数学科目中的应用策略，对其应用的模式进行了探讨。笔者选取样本对其进行了测验，通过详实的数据获悉了学习单在小学数学教学中的使用效果；并通过问卷调查和访谈法，从学生和教师的角度获悉了他们对于使用学习单的感受，从而为学习单在下一步的教学中的设计和应用，提出了切实可行的策略和意见。 第五章：对全文进行总结，归纳树立了研究结论，并对后继研究进行了展望。 主要结论有： 1、课前学习单的运用，大大提高了学生课前预习的积极性和主动性，而教师也能根据课前学习单的使用效果及时获悉学生存在的问题；课中学习单的使用，提高了学生对自身或对他人的认识，教师也通过学习单掌握了学生获取知识的进度和情况，因材施教；课后学习单促进了学生巩固知识，不断进行反思和总结，查缺补漏，对于教师而言，也能不断完善教学效果。 2、学习单的设计首先必须要立足教材，贯穿课前、课中和课后的整个学习流程，不断的对教材知识重温旧知，探索新知，查缺补漏，其次必须要服务于教师，教师精心设计，对学习单设计导语，在学习单的设计中明确知识的难点、易错点、混淆点等，最后学习单的设计必须要服务学生，对学生实现多元化的评价。基于这三方要素之上，对教材内容进行梳理，通过教师设计导语，实现对学生的多元评价。学习单的设计必须建立在主体性、问题性、探究性、参与性及创新性等五大原则之上。 3、通过对小学数学学习单在教与学过程中实际应用的探究发现，学生运用学习单巩固了知识，开拓了视野，拓宽了知识面。教师运用学习单，活跃了课堂学习气氛，提高课堂效率，达到事半功倍的效果。 关键词：学习单，小学数学，教与学，设计

Based on the study of single in the elementary school mathematics teaching and learning in the process of the design of the analysis and application as the research object, the fragments of teaching structure, teaching, analyzes, access to the teachers and students to investigate, on the basis of comparative analysis to the teaching effect, from the perspective of the focus on students' participation in learning, design of elementary school mathematics learning, in order to construct meet the demand of elementary school students personality study, joint pupil individual cognitive teaching mode, and strive for a glimmer of teachers to provide the corresponding reference and comparison.This paper is divided into five chapters from the aspects of theory and practice: Chapter one: explain the background of the research, determine the research objectives and the main contents of the research, formulate the main methods of the research, research significance and innovation.Chapter two: through literature research and relevant data analysis, the current research status of "learning lists" at home and abroad is understood, and relevant concepts are defined. Through the study of psychology, pedagogy and mathematics related theoretical books, analysis of the study sheet in the design and application of the theoretical basis. Chapter three: on the basis of relevant cases, through the analysis of the learning sheet, the design elements of primary school mathematics learning sheet are summarized and compared, the design principles are revealed, and the learning sheet design template is constructed by combining the characteristics of mathematical subject knowledge. Chapter four: the study sheet in the primary school mathematics teaching application case analysis, summary and reflection, study its application strategy in teaching, explore its application mode. Through testing, data analysis, to understand the learning sheet in primary school mathematics teaching effect; Through questionnaires and interviews, the attitudes of students and teachers towards learning lists and their feelings in the process of using them were respectively understood. Therefore, the design and application of primary school mathematics learning sheet are reviewed, and Suggestions and opinions are put forward. Chapter five: summarize the whole paper, and look forward to the future research. The main points are: 1. The use of the pre-class study list, greatly improve the students 'pre-study enthusiasm and initiative, and teachers can also use the pre-class study list according to the effect of timely learning students existing problems; The use of the learning list in class has improved students 'understanding of themselves or others. Teachers also master the progress and situation of students' acquisition of knowledge through learning alone, and teach them according to their aptitude; The after-school study list promotes students to consolidate their knowledge, constantly reflect and summarize, and check gaps and omissions. For teachers, it can also continuously improve teaching results.The use of learning orders can help teachers promote learning results, flexible teaching strategies, based on students, to refine knowledge. 2. The design of the learning sheet must be based on teaching materials, pointing to teachers, serving students, based on this tripartite elements, to comb the content of teaching materials, through the teacher design guide, to achieve multiple evaluation of students. The design of the learning form must be based on the five principles of subjectivity, problem nature, inquiry, participation and innovation.. 3.Through the exploration of the practical application in the course of mathematics teaching and learning in primary schools, students have consolidated their knowledge, expanded their horizons and broadened their knowledge. Teacher use of learning single, active classroom learning atmosphere, improve the efficiency of the classroom to achieve twice the result of half the effort. KEY WORDS：Learning Sheet,Primary Mathematics,Teaching and Learning,Design