众所周知，俄罗斯是个数学强国，在近代一百年间，曾涌现出多位杰出的数学家。在欧美的大学和数学研究所里，前苏联时代移民过去的大数学家也比比皆是。
那么，俄罗斯是怎么培养出这么多数学人才的？这要归功于坚实的数理基础教育。
今天，我们来看看俄罗斯在中学阶段7年级的课程大纲。
七年级数学教学计划
Self Assessment
Self Assessment – Year 7
Multiplication
Multiplying 2-digit numbers by 2-digit numbers
Multiplying 4-digit numbers by 3-digit numbers
Division/
repeat subtraction
Repeated subtraction with divisors less than 20 with no remainders
Repeated subtraction by multiples of 10 with divisors less than 20 with no remainders
Repeated subtraction by multiples of 2, 3 and 4 with divisors greater than 20 with no remainders
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Repeated subtraction by multiples of 1,2 and 3 with divisors less than 20 with remainders
Repeated subtraction by multiples of 10 with divisors less than 20 with remainders
Repeated subtraction with divisors greater than 20 with remainders as fractions
Repeated subtraction with divisors less than 35 with some remainders
Repeated subtraction with divisors less than 55 with dividends of 3 and 4-digits with some remainders
Repeated subtraction with divisors greater than 50 with dividends of thousands and some remainders
Using divide, multiply and subtraction in the bring down method
Decimals
Rounding decimals
Decimals to three decimal places
Adding decimals with a different number of decimal places
Subtracting decimals with a different number of places
Multiplying decimals by 10, 100 and 1000
Multiplying decimals by whole numbers
Dividing decimals by 10, 100 and 1000
Dividing decimal fractions by whole numbers
Dividing numbers by a decimal fraction
Percentages
Changing fractions and decimals to percentages using tenths and hundredths
Changing percentages to fractions and decimals
One quantity as a percentage of another
Calculating Percentages and Fractions of Quantities
Fractions
Adding and subtracting fractions with the same denominator
Improper fractions
Comparing and ordering fractions greater than (>) 1
Adding and subtracting fractions with different denominators
Multiplying fractions by whole numbers
Fractions of whole numbers
Multiplying and dividing to obtain equivalent fractions
Reducing fractions to lowest equivalent form
Finding reciprocals of fractions and mixed numbers (mixed numerals)
Dividing fractions
Dividing mixed numbers (mixed numerals)
Multiplying fractions
Multiplying mixed numbers (mixed numerals)
Rules properties
Using Order of Operation procedures (BIDMAS) with Fractions
Area
Introducing the rules for finding the area of a rectangle and a parallelogram.
Finding the area of a triangle and other composite shapes.
Larger areas: square metre, hectare, square kilometre.
Volume
Introducing the formula for volume.
Using the cubic metre to measure volume.
Solving Problems about Volume – Part 1.
Solving Problems about Volume – Part 2.
Capacity
Converting between volume and capacity using millilitres and litres
Weight/mass
The tonne – converting units and problems
Data
Bar Charts
Line graphs.
Pie and bar graphs.
Algebraic
expressions
Algebraic expressions.
Substitution into algebraic expressions.
Directed numbers: addition and subtraction.
Directed numbers: multiplication and division.
Simplifying algebraic expressions: adding like terms.
Simplifying algebraic Expressions: subtracting like terms.
Simplifying Algebraic expressions: combining addition and subtraction.
Simplifying algebraic expressions: multiplication
Simplifying algebraic expressions: division
Expanding algebraic expressions: multiplication
Expanding algebraic expressions: negative multiplier
Expanding and simplifying algebraic expressions
Solving equations containing addition and subtraction
Solving equations containing multiplication and division
Solving two step equations
Geometry-angles
Measuring angles
Adjacent angles
Complementary and supplementary angles
Vertically opposite angles
Angles at a Point.
Parallel Lines.
Geometry
-problems
Additional questions involving parallel lines
Geometry
-triangles
Angle sum of a triangle
Special triangles
Special triangles
Geometry
-quadrilaterals
Quadrilaterals
Geometry
-constructions
Geometric constructions
Sign word problems
Solving Word Problems by recognising Sign Words
Equations
Problem solving strategies
Number problems
Problems with numbers.
Money
Problems involving money
Length
Problems with length.
Mass
Problems with mass.
Area
Problems with area.
Volume/capacity
Problems with volume/capacity.
Exam
Exam – Year 7
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