diff --git a/INSTALL.md b/INSTALL.md
index 0d9665999a9d6e1c3a0e42dd1291ebb70b15c19c..01c360e8d4013198bda8253fd47b6eefd5cc59af 100644
--- a/INSTALL.md
+++ b/INSTALL.md
@@ -58,13 +58,13 @@ To install OpenSSL, you will need:
 For additional platform specific requirements, solutions to specific
 issues and other details, please read one of these:
 
- * [NOTES-UNIX.md](NOTES-UNIX.md) - notes for Unix like systems
- * [NOTES-VMS.md](NOTES-VMS.md) - notes related to OpenVMS
- * [NOTES-WINDOWS.md](NOTES-WINDOWS.md) - notes related to the Windows platform
- * [NOTES-DJGPP.md](NOTES-DJGPP.md) - building for DOS with DJGPP
- * [NOTES-ANDROID.md](NOTES-ANDROID.md) - building for Android platforms (using NDK)
- * [NOTES-VALGRIND.md](NOTES-VALGRIND.md) - testing with Valgrind
- * [NOTES-PERL.m](NOTES-PERL.md) - some notes on Perl
+ * [Notes for UNIX-like platforms](NOTES-UNIX.md)
+ * [Notes for Android platforms](NOTES-ANDROID.md)
+ * [Notes for Windows platforms](NOTES-WINDOWS.md)
+ * [Notes for the DOS platform with DJGPP](NOTES-DJGPP.md)
+ * [Notes for the OpenVMS platform](NOTES-VMS.md)
+ * [Notes on Perl](NOTES-PERL.md)
+ * [Notes on Valgrind](NOTES-VALGRIND.md)
 
 Notational conventions
 ======================
diff --git a/NOTES-ANDROID.md b/NOTES-ANDROID.md
index e1e7370d2646f2054e7f572604693c73e6bdeb0b..eebf03a4c496a0692be1169c09c955ee824e7654 100644
--- a/NOTES-ANDROID.md
+++ b/NOTES-ANDROID.md
@@ -1,4 +1,4 @@
-NOTES FOR ANDROID PLATFORMS
+Notes for Android platforms
 ===========================
 
  Requirement details
diff --git a/NOTES-DJGPP.md b/NOTES-DJGPP.md
index 157b11b4781fac6e7f5ba6ac6b8534e097b9b574..0b23c48370b330563fbce262c57a07d79a8df5cc 100644
--- a/NOTES-DJGPP.md
+++ b/NOTES-DJGPP.md
@@ -1,5 +1,5 @@
-INSTALLATION ON THE DOS PLATFORM WITH DJGPP
-===========================================
+Notes for the DOS platform with DJGPP
+=====================================
 
  OpenSSL has been ported to DJGPP, a Unix look-alike 32-bit run-time
  environment for 16-bit DOS, but only with long filename support.
diff --git a/NOTES-UNIX.md b/NOTES-UNIX.md
index 0928753149cea0f3dfb2b4c8f973f2470b7d4015..0b0a531db4a1cf681969a63a61761205def00206 100644
--- a/NOTES-UNIX.md
+++ b/NOTES-UNIX.md
@@ -1,8 +1,8 @@
-NOTES FOR UNIX-LIKE PLATFORMS
+Notes for UNIX-like platforms
 =============================
 
  For Unix/POSIX runtime systems on Windows,
- please see [NOTES-WINDOWS.md](NOTES-WINDOWS.md).
+ please see the [Notes for Windows platforms](NOTES-WINDOWS.md).
 
  OpenSSL uses the compiler to link programs and shared libraries
  ---------------------------------------------------------------
diff --git a/NOTES-VALGRIND.md b/NOTES-VALGRIND.md
index 00647cbd9b726dd7f23f9c614c7e4fb2f36ec97b..a37e323e23fbe16f2ce0e3164920a76f16c4b2e2 100644
--- a/NOTES-VALGRIND.md
+++ b/NOTES-VALGRIND.md
@@ -1,5 +1,5 @@
-NOTES FOR VALGRIND
-==================
+Notes on Valgrind
+=================
 
 Valgrind is a test harness that includes many tools such as memcheck,
 which is commonly used to check for memory leaks, etc. The default tool
diff --git a/README.md b/README.md
index 9f64bad686542b6ef0b52b7f7fd9ffa7c33eb1a7..680faea76f1cca9a948fd85ee927a4e1be3cd159 100644
--- a/README.md
+++ b/README.md
@@ -105,13 +105,13 @@ detailed instructions about building and installing OpenSSL. For some
 platforms, the installation instructions are amended by a platform specific
 document.
 
- * [NOTES-ANDROID.md](NOTES-ANDROID.md)
- * [NOTES-DJGPP.md](NOTES-DJGPP.md)
- * [NOTES-UNIX.md](NOTES-UNIX.md)
- * [NOTES-VMS.md](NOTES-VMS.md)
- * [NOTES-WINDOWS.md](NOTES-WINDOWS.md)
- * [NOTES-PERL.md](NOTES-PERL.md)
- * [NOTES-VALGRIND.md](NOTES-VALGRIND.md)
+ * [Notes for UNIX-like platforms](NOTES-UNIX.md)
+ * [Notes for Android platforms](NOTES-ANDROID.md)
+ * [Notes for Windows platforms](NOTES-WINDOWS.md)
+ * [Notes for the DOS platform with DJGPP](NOTES-DJGPP.md)
+ * [Notes for the OpenVMS platform](NOTES-VMS.md)
+ * [Notes on Perl](NOTES-PERL.md)
+ * [Notes on Valgrind](NOTES-VALGRIND.md)
 
 Specific notes on upgrading to OpenSSL 3.0 from previous versions, as well as
 known issues are available on the [OpenSSL 3.0 Wiki] page.