Multiplication and Arrays: From Grade 2 Foundations to IGCSE Skills | 乘法与阵列：从二年级基础到 IGCSE 技能

📚 Multiplication and Arrays: From Grade 2 Foundations to IGCSE Skills | 乘法与阵列：从二年级基础到 IGCSE 技能

In Cambridge IGCSE Mathematics, multiplication is a core skill that connects number, algebra, geometry and statistics. Many learners first meet multiplication through arrays in primary school. This article revisits that foundation and shows how array thinking supports factors, prime factorisation, algebraic expansion and area problems.

在剑桥 IGCSE 数学中，乘法是连接数字、代数、几何和统计的核心技能。许多学生第一次接触乘法是在小学通过阵列模型。本文回顾这一基础，并展示阵列思维如何支持因数、质因数分解、代数展开和面积问题。

1. What Is an Array? | 什么是阵列？

An array is a rectangular arrangement of objects in rows and columns. For example, a 3 by 4 array has 3 rows and 4 columns. The total number of objects is 3 × 4 = 12. This visual model makes multiplication concrete and helps with understanding why multiplication works.

阵列是将物体按行和列排列成长方形的形式。例如，一个 3 × 4 的阵列有 3 行和 4 列，物体总数为 3 × 4 = 12。这种直观模型让乘法变得具体，有助于理解乘法的原理。

3 × 4 = 4 + 4 + 4 = 12

2. Multiplication as Repeated Addition | 乘法作为重复加法

Repeated addition is the simplest bridge to multiplication. 5 × 6 means five groups of six, so 5 × 6 = 6 + 6 + 6 + 6 + 6 = 30. In IGCSE, this idea is used when working with sequences and patterns, where a term may be found by multiplying a position number by a constant.

重复加法是通往乘法的最简单桥梁。5 × 6 表示五组

Published by TutorHao | IGCSE Mathematics Revision Series | aleveler.com

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