IB CCEA Mathematics: Essay Writing Template | IB CCEA 数学：论文写作模板

📚 IB CCEA Mathematics: Essay Writing Template | IB CCEA 数学：论文写作模板

Writing a high-scoring mathematics essay or investigation requires a clear structure, rigorous mathematical communication, and personal engagement. Whether you are completing the IB Mathematics Internal Assessment (IA) or a CCEA extended writing task in mathematics, following a proven template can help you present your ideas logically and meet the assessment criteria. This article outlines a step-by-step essay writing template suitable for both IB and CCEA mathematics papers, covering structure, content, and presentation.

要写出一篇高分的数学论文或调查报告，需要清晰的结构、严谨的数学表达以及个人投入。无论你正在完成 IB 数学内部评估（IA）还是 CCEA 数学的拓展写作任务，遵循一个经过验证的模板都能帮助你合乎逻辑地呈现观点并达到评分标准。本文概述了一个适用于 IB 和 CCEA 数学论文的循序渐进写作模板，涵盖结构、内容和排版。

1. Understanding the Assessment Criteria | 理解评估标准

Before you begin writing, carefully study the marking criteria for your specific task. In IB Mathematics, the IA is assessed on five criteria: Presentation, Mathematical Communication, Personal Engagement, Reflection, and Use of Mathematics. Each criterion contributes a set number of marks and requires distinct evidence.

在开始写作之前，仔细研究你所在课程任务的评分标准。在 IB 数学中，内部评估按照五项标准评分：表述、数学交流、个人投入、反思以及数学运用。每项标准都有固定的分数比重，并要求提供明确的证据。

The IB Mathematics IA criteria are weighted as follows:

IB 数学内部评估的评分标准权重如下：

CCEA tasks that require extended writing similarly value logical progression and correct notation; marks are often allocated for ‘Quality of Written Communication’ (QWC) and the application of mathematical reasoning in context.

需要拓展写作的 CCEA 任务同样看重逻辑推进和正确符号的使用；通常会为“书面交流质量”以及在情境中应用数学推理分配分数。

2. Choosing a Topic and Personal Engagement | 选题与个人投入

A strong essay begins with a topic that genuinely interests you. The IB IA explicitly rewards personal engagement, which means you should demonstrate curiosity, creativity, and independent thinking. Choose a theme that connects mathematics with a personal hobby, a real-world issue, or an intriguing puzzle.

一篇优秀的论文始于你真正感兴趣的主题。IB 内部评估明确奖励个人投入，这意味着你需要展现出好奇心、创造力和独立思考。选择一个能将数学与个人爱好、现实问题或有趣谜题联系在一起的主题。

CCEA tasks also benefit from well-chosen contexts, such as modelling population growth, analysing financial investments, or investigating the geometry of architecture. Avoid overly broad topics; narrow your focus to a manageable research question that can be explored thoroughly within the word or page limit.

CCEA 的任务同样受益于精心选择的情境，例如模拟人口增长、分析金融投资或探究建筑中的几何学。避免选题过于宽泛，将焦点缩小到一个在字数或页数限制内能够深入探究的可操作的研究问题上。

Example prompts for inspiration: ‘How can calculus be used to optimise the volume of a food container while minimising surface area?’, ‘To what extent can probability theory predict winning strategies in a dice game?’, or ‘Modelling the spread of a rumour using logistic differential equations.’

启发灵感的题目示例：“如何利用微积分在最小化表面积的同时优化食品容器的体积？”、“概率论能在多大程度上预测骰子游戏的获胜策略？”、“使用逻辑斯谛微分方程对流言传播进行建模。”

3. Overall Structure | 结构总览

The table below presents a typical structure for a mathematics essay or investigation. Following this blueprint ensures that all required components are included and logically ordered.

下表展示了一篇数学论文或调查的典型结构。遵循这一蓝图可以确保包含所有必需组成部分并按逻辑顺序排列。