Anglais Technique2
Topic outline
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This course is designed to strengthen students’ proficiency in Technical and Scientific English, with a specific focus on mathematical discourse. It aims to develop the four essential language skills (reading, writing, listening, and speaking) within academic and research-oriented contexts. Special emphasis is placed on the structure and language of scientific articles, correct mathematical writing conventions, comprehension of technical texts and graphs, and oral communication in academic settings such as seminars and conferences.
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Upon successful completion of this course, students will be able to:
• Read and analyze scientific articles, abstracts, and technical documents in mathematics.
• Use appropriate technical vocabulary and expressions in written mathematical English.
• Write well-structured scientific texts such as abstracts, introductions, and conclusions.
• Identify and correct common linguistic and stylistic errors in mathematical writing.
• Interpret and describe scientific graphs and statistical figures accurately.
• Understand spoken academic English in lectures, presentations, and research talks.
• Communicate mathematical ideas clearly and confidently in oral form.
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This module is intended for Master-level students in Mathematics. It assumes that students have acquired the following prerequisites:
1. Linguistic Prerequisites
Students are expected to have an intermediate level in General English (minimum B1 level according to the Common European Framework of Reference for Languages – CEFR). They should be able to understand simple academic texts and possess basic knowledge of English grammar, including sentence structure, verb tenses, and logical connectors.2. Academic Prerequisites
Students should have a solid background in fundamental mathematical disciplines such as analysis, algebra, and basic probability and statistics. They must be familiar with standard mathematical notation and accustomed to reading and interpreting structured mathematical statements.3. Methodological Prerequisites
Students are expected to be able to follow lectures and tutorials, produce structured written answers (definitions, explanations, justifications), and demonstrate basic academic writing skills.4. Digital Skills (Recommended)
Basic digital literacy is recommended, including the ability to use learning platforms, consult PDF documents, and access online academic resources such as scientific articles and recorded lectures.Note:
This module does not require an advanced level of English at entry. Its main objective is to progressively develop students’ academic and scientific English skills, particularly for reading, writing, and communicating mathematical content in an academic context. -
1️⃣ Introduction to Scientific and Technical English
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Definition of Technical vs General English
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Characteristics of scientific language
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Objectivity and precision in mathematical writing
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Academic register and formal tone
2️⃣ Structure of Scientific and Mathematical Texts
2.1 Structure of a Scientific Article
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Title
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Abstract
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Introduction
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Methodology
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Results
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Discussion
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Conclusion
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References
2.2 Structure of Mathematical Writing
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Definitions
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Theorems
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Proofs
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Corollaries
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Remarks
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Examples
3️⃣ Reading and Interpreting Scientific Content
3.1 Reading Mathematical Articles
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Identifying main ideas
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Extracting definitions and hypotheses
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Understanding logical structure
3.2 Interpreting Graphs and Data
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Describing trends
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Comparing curves
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Statistical vocabulary
4️⃣ Writing Skills in Mathematics
4.1 Short vs Long Answers
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Concise mathematical justification
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Structured explanations
4.2 Common Errors in Mathematical English
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Grammar errors
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Vocabulary misuse
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Sentence structure issues
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Literal translation problems
4.3 Writing Abstracts and Summaries
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Structure of an abstract
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Keywords
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Paraphrasing techniques
5️⃣Cultural and Historical Dimension
Famous mathematicians
Contributions to mathematical language
Evolution of scientific communication
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Moi en train d’apprendre l’anglais :
"Okay, so ‘through’, ‘though’, ‘thought’, ‘tough’, and ‘thorough’ exist… but why do they all sound different?!"-Prof d’anglais :"Well… English is just like that!"
-Moi: "And why is ‘read’ pronounced differently in ‘I read a book’ and ‘I have read a book’?!?"
-Prof d’anglais :"Because… it’s English!"
-Moi: "But why do ‘knife’ and ‘know’ have a ‘k’ if we don’t pronounce it???"
Prof d’anglais : "Just accept it and move on!!"
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Select a mathematician of your choice and compose a brief paragraph about him. Your paragraph should include the following elements:
• Full Name and Lifespan: Provide the mathematician's complete name and their birth and death years (if applicable).
• Major Contributions: Highlight their key achievements and the areas of mathematics they influenced.
• Historical Context: Briefly describe the time period in which they lived and worked.
• Personal Insight: Share an interesting fact or anecdote about their life or work.
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Dear students,
You are required to complete the Technical English revision sheet I have provided. This work must be done individually and without the use of any AI tools or automatic translators (such as ChatGPT, Google Translate, DeepL, etc.).Please note that the purpose of this revision is to assess your personal progress and help me prepare a fair and relevant final exam based on your actual level.
Using AI-generated content defeats that purpose and will not be accepted !Deadline: May 10, 2025
Make sure to submit your completed revision on Moodle.Thank you for your seriousness and honesty!
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