diff --git a/slides/chapter-01.en.md b/slides/chapter-01.en.md
index 49ac470..a4830d6 100644
--- a/slides/chapter-01.en.md
+++ b/slides/chapter-01.en.md
@@ -57,7 +57,7 @@ Typography
 @content
 ### Macro typography
 * type area
-* line length vs. distance
+* line length and line spacing
 * placement of headings in whitespace
 * placement of images and tables
 * widows and orphans
@@ -90,7 +90,7 @@ Typography
 <div style="display: flex; justify-content: space-between; align-items: flex-end;">
   <figure><img src="svg/chapter-01/schriftschnitte-crop.svg" style="height: 1.7em;"/><figcaption style="font-size: .8em;">Font styles:<br/>straight,&nbsp;oblique,&nbsp;italic</figcaption></figure>
 
-  <figure><img src="svg/chapter-01/schriftgrade.svg" style="height: 2.2em;"/><figcaption style="font-size: .8em">Font sizes:<br/>small,&nbsp;small&nbsp;magnified,&nbsp;large</figcaption></figure>
+  <figure><img src="svg/chapter-01/schriftgrade.svg" style="height: 2.2em;"/><figcaption style="font-size: .8em">Font sizes:<br/>small,&nbsp;small&nbsp;scaled up,&nbsp;large</figcaption></figure>
 </div>
 
 @preview
@@ -103,12 +103,12 @@ Typography
 Further advantages
 
 @content
-* much better default settings<br/>than in any word processor
+* much better default settings<br/>than any other word processor
 * structured workflow
 * reliable undo
 * easy versioning
 * independence of proprietary software
-* source code and output<br/>readable over the long term
+* source code and output<br/>readable in the long term
 * easy cooperation with other software
 
 
diff --git a/slides/chapter-02.de.md b/slides/chapter-02.de.md
index 5bdffa2..4e68858 100644
--- a/slides/chapter-02.de.md
+++ b/slides/chapter-02.de.md
@@ -42,7 +42,7 @@ Was brauchen wir dazu?
 
 @column-one
 ### Editor
-enthält unseren Quelltext mit allen Befehlen zur semantischen Gliederung
+zum Schreiben unseres Quelltextes mit allen Befehlen zur semantischen Gliederung
 
 [TeXstudio](http://www.texstudio.org/), [TeXMaker](https://www.xm1math.net/texmaker/)
 
diff --git a/slides/chapter-02.en.md b/slides/chapter-02.en.md
index f935dbe..b2f2a9b 100644
--- a/slides/chapter-02.en.md
+++ b/slides/chapter-02.en.md
@@ -42,7 +42,7 @@ What do we need?
 
 @column-one
 ### Editor
-provides our source code with all the commands that structure the text semantically
+writing our source code including all the commands that structure the text semantically
 
 [TeXstudio](http://www.texstudio.org/), [TeXMaker](https://www.xm1math.net/texmaker/)
 
@@ -94,7 +94,7 @@ You get the backslash by pressing
 Optional parameters
 
 @content
-Square brackets can contain different numbers of optional parameters:
+Square brackets may contain different numbers of optional parameters:
 
 ``` {.lang-tex .hljs}
 \usepackage[utf8]{inputenc}
diff --git a/slides/chapter-03.en.md b/slides/chapter-03.en.md
index 632feab..cb80147 100644
--- a/slides/chapter-03.en.md
+++ b/slides/chapter-03.en.md
@@ -64,8 +64,8 @@ Packages
 \usepackage[<options>]{<package_name>}
 ```
 
-* Packages provide additional commands and functionality.
-* There are different packages for different use cases (e.&thinsp;g., formulas, lists, ...).
+* Packages provide additional commands and functionalities.
+* There are different packages for different use cases (e.&thinsp;g., mathematical formulas, lists, ...).
 * Before they can be used, they have to be included **within the preamble.**
 
 
@@ -168,9 +168,9 @@ just as     multiple space characters. ↲
 An empty line creates a new paragraph ↲
 which has an indentation by default. ↲
 Manual line breaks can be forced ↲
-with two backslashes, ↲
-but normally they have no business \\ ↲
-in continuous text.
+using two backslashes, ↲
+but this use \\ ↲
+is strongly discouraged.
 ```
 
 @preview
@@ -191,7 +191,7 @@ Some characters do things in LaTeX:
 `# $ % ^ & _ { } ~ \`
 
 ``` {.lang-tex .hljs}
-50% is the half.
+50% is one half.
 ```
 
 Solution: prefix with ‘`\`’:
@@ -200,7 +200,7 @@ Solution: prefix with ‘`\`’:
 50\% is the half.
 ```
 
-Does not work with ‘`\\`’, a solution for this is shown later.
+Does not work for ‘`\\`’, we will see a solution for this later.
 
 @preview
 ![](svg/chapter-03/reserved-characters-crop.svg)
@@ -321,7 +321,7 @@ Table of contents
 * automatic numbering
 * very configurable (enumeration characters and depth, automatic naming, …)
 * chapters and (sub-)sections with an asterisk (`*`) are hidden from the table of contents: e.&thinsp;g. `\section\*{}`.
-* better compile twice
+* generally requires two rounds of compilation
 
 
 @slide(layout=content-and-preview)
@@ -392,6 +392,7 @@ Structure your document and text
 ```
 
 * ++ In the part that is not commented out, **paragraphs** were marked as ‘`//`’. Use real paragraphs instead.
-* ++ Uncomment the remaining text. Use the corresponding LaTeX commands for all **headings** (`\section` to `\subsubsection`).
+* ++ Uncomment the remaining text.
+* ++ Use LaTeX commands to declare all **headings** (`\section` to `\subsubsection`).
 * ++ Add a **table of contents.**