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Academic English for Mathematics

  • Academic English for Mathematics
  • Academic English for Mathematics

Academic English for Mathematics

Χατζηθεοδωρίδου Ελευθερία Κατσαμποξάκη-Hodgetts Κάλλια

Διαθεσιμότητα: Αμεσα διαθέσιμο

Σελίδες 352
ISBN13 978-618-5242-28-2
Τόπος Έκδοσης Θεσσαλονίκη
Έτος Έκδοσης 2018
Διαστάσεις 21x29 cm
Εξώφυλλο Μαλακό
Εσωτερικό βιβλίου Έγχρωμο
Συνοδευτικό Υλικό ΟΧΙ
Κωδικός στον Εύδοξο 77118728
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Κανονική Τιμή: 40,00 €

Special Price 36,00 €

 

Academic English for Mathematics aims to improve your ability to study Mathematics effectively in English. It is a joint effort of a English for Specific Academic Purposes Instructor and a Mathematician. It is written for international students who are planning to embark on an undergraduate programme of Mathematics and speak English as a foreign language. With this course, you will develop your knowledge of academic and scientific conventions and you will improve your skills in the following areas:

  • reading and understanding of Mathematical articles, theorems, proofs, axioms, definitions and word problems in English
  • listening to lectures, understanding sign-posting language, main points and improve your note-taking skills
  • noticing writing conventions for different audiences and purposes within the same discipline and improving academic writing skills such as paraphrasing, formality and citations
  • contributing effectively in seminar discussions
  • preparing and giving effective scientific presentations
  • improving academic vocabulary and prominent language features
  • improving study skills such as planning, note-taking and summarising
  • improving your critical reading and writing skills with peer-review evaluations

1 Real Numbers
Themes
Properties of real numbers; whole numbers, natural numbers, integers, fractions,
rational numbers, square roots, irrational numbers
Vocabulary
Definitions of types of numbers; properties of real numbers, derivatives
Common procedures followed by mathematicians: factoring, using reciprocals/
division, collecting like items, using average, converting to decimal or fractional
notation
Writing
Paragraph structure, cohesion and coherence
Note-taking
Identifying main points in a lecture: “Imaginary and complex numbers” contents

2 Algebraic Expressions, Equations and Functions
Themes
Algebraic expressions, equations and functions
Discussion
Skimming and scanning, identifying main points
Vocabulary
Using a variety of words to describe arithmetic processes; translating “text” to algebra;
reading functions and equations
Note-taking
Linear style abbreviations and symbols
Style
Introducing formality by comparing two excerpts

3 Exponents and Exponential Functions
Themes
Exponents and exponential functions; exponential decay and growth; geometric
progressions and scientific notation
Academic vocabulary
Definitions;
Writing the product as a monomial in a standard form
Numbers of Science: Conversions from Metric system to English
Metric prefixes for powers of 10
Comparing objects of widely different sizes: orders of magnitude
Academic writing and style
Introduction to paraphrasing;
Expressing cause and effect as a paraphrasing tool

4 Introduction to Reasoning and Proof
Themes
The language of proofs regarding segments; inductive and deductive reasoning,
theorems, logic tables, axioms, methods of proof
Discussion
Useful phrases
Vocabulary
Definitions of Logic Theory terms
Writing
The language and symbols of proofs
Note-taking
Writing
Mathematical proofs by induction, identifying the base, hypothesis and conclusion

5 Introduction to Probability
Themes
Introduction to probability, random events, random variables and their categorisations,
density and distribution functions, notation and axiomatic definition of probability
Vocabulary
Definitions of probability related terms; collocations; notation in probability, adverbial
phrases
Academic style
Introduction to academic caution; modal verbs and the lack of tentative language in
Mathematics
Note-taking
Peer-reviewing notes on probability webinar

6 Introduction to Statistics
Themes
Data, sample population, numerical descriptors, rational equations and functions;
descriptive and inferential statistics, statistical significance; standard deviation,
coefficient of variation, mean, median; graphs
Vocabulary
Statistics: Definitions
Word formation and use-in-context
Language
The use of gerund and infinitive in Mathematics
Presentation/Writing
Reporting graphs and charts
Writing
Writing a report following a chart or graph
Plagiarism, citations and references; why and how we use them

7 Geometry connections
Themes
Introduction to Geometry; lines, points, planes and angles, parallel and perpendicular
lines
Discussion
Expressing agreement, disagreement or acknowledgement
Academic vocabulary
Use in context, definitions of popular mathematical terms
Geometric shapes: 2D and 3D definitions
Giving examples
Academic writing
Summary guidelines and practice
Note-taking
Identifying the moves in a lecture; using reference verbs

8 Properties of Triangles
Themes
Triangles; main and secondary elements of a triangle, types of triangles by lengths
of sides, classification according to internal angles, the Pythagorean Theorem, the
concepts of congruence and similarity
Vocabulary
Definitions; use-in-context: types of triangles
Writing a two-column proof
Making comparisons
Writing
Passive voice
Presentation
Opening/closing phrases and transitions

9 Introduction to Trigonometry
Themes
Right triangle Trigonometry, ratios, sine, cosine, tangent,
trigonometric identities, function graphs
Academic vocabulary
The language of theorems, axioms and proofs
Note-taking practice
The unit circle
Academic presentation skills
Signposting language that engages your audience enhances the impact of your speech

10 The Geometry of the Circle
Themes
Properties of circles; chords, tangents, secants, equations and graphs of circles
Vocabulary
Use-in-context; definitions
Geometry tools
Note-taking
Equations and graphs of circles
Writing
How to write an argumentative essay on “Pure vs. Applied Mathematics”
Using evaluative language to unfavour someone’s view

11 Polygons and Quadrilaterals
Themes
Polygons and quadrilaterals; parallelograms, rhombi, rectangles, squares,
kites and trapezoids
Ratios, proportions and similarity applied to polygons and quadrilaterals,
proportionality with parallel lines, dilations and fractions
Vocabulary
Definitions; use-in-context; adjective suffixes
Academic language focus
Subject verb agreement; quantifiers
Academic style
Avoiding wordiness and repetition
Academic presentation skills
From text to slides
Using visuals to enhance the impact of your presentation
Note-taking
Tessellations

12 The Geometry of Three Dimensions
Themes
Introduction to the geometry of three dimensions, points and lines in space, coordinate
systems, polyhedra and solids of revolution
Academic vocabulary
Definitions: use in context
Academic style
Formality and complexity;
Comparing texts written for different audiences
Introduction to critical reading
Common pitfalls when writing a scientific paper

Appendix
Glossary
Evaluation criteria
Transcripts
Bibliography

Περιεχόμενα contents_ACADEMIC_ENGLISH_FOR_MATHEMATICS.pdf
Ενδεικτικό Κεφάλαιο chapter_ACADEMIC_ENGLISH_FOR_MATHEMATICS.pdf
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