关于大学生数学学习背景的调查问卷

（Questionnaire on College Students' Mathematics Learning Background）
同学，你好！本问卷旨在了解你的数学学习背景，以便我们更好地开展教学工作。所有信息仅用于教学研究，请放心填写。(Hello, classmate! This questionnaire is designed to understand your background in mathematics learning so that we can carry out our teaching work better. All information will only be used for teaching research. Please fill it out with ease.)
一、基本信息（Basic Information）
2. 国籍（Nationality）:_________
3. 母语（Mother tongue）:_________
授课语言（中学阶段）Teaching language （Middle school stage）
5. 来华留学前的汉语水平（如HSK等级）Chinese proficiency before studying in China （Such as HSK level）:_________
二、大学前数学基础（中学阶段）Middle School Mathematics Foundation (for Pre-University Study)
知识模块掌握度（请对以下内容进行自评，1=未学过，2=学过但吃力，3=掌握良好）（Proficiency Level of Knowledge Modules(Please self-assess the following items according to the scale below: 1 = Not learned; 2 = Learned but with difficulty; 3 = Proficiently mastered)
（一）代数（方程、不等式、函数等）（Algebra (Equations, Inequalities, Functions, etc.)
1.数的认识与运算:对有理数（如正负数、绝对值）扩展到实数（引入无理数），及其运算规则的掌握程度。（Understanding and Operation of Numbers: Proficiency in extending rational numbers (e.g., positive and negative numbers, absolute values) to real numbers (introduction of irrational numbers), as well as mastery of their operational rules.）
2.代数式:对整式、分式、二次根式的概念与运算的掌握程度。（Algebraic Expressions: Proficiency in the concepts and operations of integral expressions, fractional expressions, and quadratic radicals.）
3.方程与不等式:对一元一次不等式方程、二元一次方程组、一元二次方程及一元一次不等式（组）的解法与应用的掌握程度。（Equations and Inequalities: Proficiency in the solution methods and applications of linear equations with one variable, systems of linear equations with two variables, quadratic equations with one variable, as well as linear inequalities (and systems of linear inequalities) with one variable.）
4.一次函数:对其概念、图像（直线）与性质，能用待定系数法求解析式的掌握程度。（Linear Functions: Proficiency in grasping their concepts, graphs (straight lines) and properties, as well as the ability to derive analytical formulas using the method of undetermined coefficients.）
5.二次函数:对其图像（抛物线）、性质，及其与一元二次方程的关系的掌握程度。(Quadratic Functions: Proficiency in grasping their graphs (parabolas), properties, as well as the relationship between quadratic functions and quadratic equations with one variable.）
6.反比例函数:对其图像（双曲线）和性质的掌握程度。(Inverse Proportional Functions: Proficiency in grasping their graphs (hyperbolas) and properties.）
7.基本初等函数:对常数函数、幂函数、三角函数、反三角函数、指数函数、对数函数六类基本初等函数的理解掌握程度。（Basic Elementary Functions: Proficiency in understanding and mastering the six categories of basic elementary functions, namely constant functions, power functions, trigonometric functions, inverse trigonometric functions, exponential functions, and logarithmic functions.）
（二）几何（平面几何、立体几何等）Geometry (Plane Geometry, Solid Geometry, etc.)
1.平面图形:对三角形（全等、相似、勾股定理）、特殊四边形（平行四边形、矩形等）和圆的性质与判定的掌握程度。(Plane Figures: Proficiency in grasping the properties and determination criteria of triangles (congruence, similarity, Pythagorean theorem), special quadrilaterals (parallelograms, rectangles, etc.), and circles.）
2.图形变换:对平移、旋转、轴对称等变换及其性质的掌握程度。(Graph Transformations: Proficiency in grasping the types of transformations (translation, rotation, axial symmetry, etc.) and their properties.）
3.几何证明:对用综合法进行简单的几何证明的掌握程度。（Geometric Proofs: Proficiency in conducting simple geometric proofs using the synthetic method.）
4.视图与投影:对三视图和几何体的表面积、体积计算的掌握程度。（Views and Projections: Proficiency in grasping three-view drawings and the calculation of surface areas and volumes of geometric solids.）
5.立体几何初步:对点线面关系、空间向量与立体几何的掌握程度。（Elementary Solid Geometry: Proficiency in grasping the relationships among points, lines and planes, as well as spatial vectors and their applications in solid geometry.）
6.平面解析几何初步:对直线与圆的方程、圆锥曲线与方程的掌握程度。（Elementary Plane Analytic Geometry: Proficiency in grasping the equations of straight lines and circles, as well as conic sections and their equations.）
7.平面向量、复数等:对其线性运算、数量积、复数的概念、四则运算的掌握程度。（Plane Vectors and Complex Numbers, etc.: Proficiency in grasping their linear operations, dot products, the concepts of complex numbers, as well as the four fundamental operations of complex numbers.）
（三）三角函数、数列等（Trigonometric Functions, Sequences, etc.）
1.三角函数:对三角函数的定义、诱导公式、图像和性质、三角恒等变换、解三角形的掌握程度。（Trigonometric Functions: Proficiency in grasping their definitions, induction formulas, graphs and properties, trigonometric identities transformation, as well as solving triangles.）
2.数列:对等差数列、等比数列的通项公式、求和公式的掌握程度。（Sequences: Proficiency in grasping the general term formulas and summation formulas of arithmetic sequences and geometric sequences.）
（四）排列组合与概率初步（Permutations, Combinations and Elementary Probability）:
1.统计:学习用图表整理数据，并计算平均数、中位数、方差等统计量的掌握程度。（Statistics: Proficiency in grasping the ability to organize data with charts and graphs, as well as calculate statistical measures such as the mean, median and variance.）
2.概率:了解随机事件、用列举法（如树状图）计算简单事件的概率的掌握程度。（Probability: Proficiency in understanding random events and calculating the probability of simple events using enumeration methods (such as tree diagrams).）
三、学习习惯与态度、学习方法掌握等（可多选）(Learning Habits and Attitudes, Mastery of Learning Methods, etc. (Multiple choices allowed))
1.你认为自己学习数学的主要困难是?（What do you think are the main difficulties you encounter in learning mathematics?）
2.之前数学课的主要学习方式（形式）是?What were the main learning methods (forms) in your previous mathematics classes?）
3.中学数学的常见思维方法是否基本掌握（Have you basically mastered the common thinking methods in middle school mathematics?）
4.数学语言习惯:你更习惯阅读哪种语言的数学教材?（Mathematical Language Habit: Which language of mathematics textbooks do you prefer to read?）
5.你希望通过在中学数学和大学数学之间设置的预科数学课程学到什么?（What do you hope to learn from the preparatory mathematics course set between middle school mathematics and university mathematics?）
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