之前我们介绍了新加坡政府小学一年级的教学大纲,今天我们接着来看新加坡政府小学二年级的教学大纲。
回顾一下,整个小学阶段,采用3+1的教学体系,三大模块数学知识和贯穿始终的数学过程思维训练。如下图所示。
数学过程思维这一环节最为关键的是思维技巧和策略思维方法。这部分内容是要求学生在掌握数学知识点的基础上,能活学活用,经过训练,学会常用的思维方法。
比如,从特例推导到一般的思维技巧,发现规律,找出通用模式。将整体拆解成部分,用“分而治之”的方法化整为零突破。从部分整合到全局的能力。猜测+验证的方法,对有些不能采用穷举方法的问题也很管用。具体如下图。
新加坡小二的知识点脉络和小一大体相当,但在难度上会加深一个层级,总结如下图。
每个分支包含的知识点分列如下。
1000以内整数知识考查点
counting in tens/hundreds
number notation, representations and place values (hundreds, tens, ones)
reading and writing numbers in numerals and in words
comparing and ordering numbers
patterns in number sequences
odd and even numbers
加减法
addition and subtraction algorithms (up to 3 digits)
solving up to 2-step word problems involving addition and subtraction
mental calculation involving addition and subtraction of a 3-digit number and ones/tens/hundreds
乘除法
multiplication tables of 2, 3, 4, 5 and 10
use of ÷
relationship between multiplication and division
multiplying and dividing within the multiplication tables
solving 1-step word problems involving multiplication and division within the multiplication tables
mental calculation involving multiplication and division within the multiplication tables of 2,3,4,5 and 10
分数
1. Fraction of a Whole
fraction as part of a whole
notation and representations of fractions
comparing and ordering fractions with denominators of given fractions not exceeding 12
2. Addition and Subtraction
adding and subtracting like fractions within one whole with denominators of given fractions not exceeding 12
货币
counting amount of money in dollars and cents
reading and writing money in decimal notation
comparing two or three amounts of money
converting an amount of money in decimalnotation to cents only, and vice versa
solving word problems involving money in dollars only (or in cents only)
度量 - 长度/质量/体积
1. measuring
length in metres/centimetres
mass in kilograms/grams
volume of liquid in litres
2. measuring and drawing a line segment to the nearest cm
3. using appropriate units of measurement and their abbreviations cm, m, g, kg
4. comparing and ordering lengths /masses /volumes
5. solving word problems involving length /mass /volume
度量 - 时间
telling time to 5 minutes
use of ‘a.m.’ and ‘p.m.’
use of abbreviations h and min
drawing hands on the clock face to show time
duration of 1 hour/half hour
几何 - 2D图形
identifying, naming and describing 2D shapes (semicircle/quarter circle)
identifying the basic shapes that make up agiven figure
forming different 2D figures with rectangle/ square / triangle/semicircle/quarter circle
copying figures on dot grid or square grid
几何 - 3D图形
Identifying, naming, describing and classifying
3D shapes
cube
cuboid
cone
cylinder
sphere
统计 - 数据呈现和释读
Picture Graphs with Scales
reading and interpreting data from picture graphs with scales
solving 1-step problems using data from picture graphs
如果需要中文版本,请留言让我们知道哦。