diff --git a/src/main/java/com/fasterxml/jackson/databind/type/TypeFactory.java b/src/main/java/com/fasterxml/jackson/databind/type/TypeFactory.java
index 1479000577..7ca7afe02c 100644
--- a/src/main/java/com/fasterxml/jackson/databind/type/TypeFactory.java
+++ b/src/main/java/com/fasterxml/jackson/databind/type/TypeFactory.java
@@ -1166,7 +1166,8 @@ private JavaType _mapType(Class<?> rawClass, TypeBindings bindings,
         } else {
             List<JavaType> typeParams = bindings.getTypeParameters();
             // ok to have no types ("raw")
-            switch (typeParams.size()) {
+            final int pc = typeParams.size();
+            switch (pc) {
             case 0: // acceptable?
                 kt = vt = _unknownType();
                 break;
@@ -1175,7 +1176,9 @@ private JavaType _mapType(Class<?> rawClass, TypeBindings bindings,
                 vt = typeParams.get(1);
                 break;
             default:
-                throw new IllegalArgumentException("Strange Map type "+rawClass.getName()+": cannot determine type parameters");
+                throw new IllegalArgumentException(String.format(
+"Strange Map type %s with %d type parameter%s (%s), can not resolve",
+ClassUtil.nameOf(rawClass), pc, (pc == 1) ? "" : "s", bindings));
             }
         }
         return MapType.construct(rawClass, bindings, superClass, superInterfaces, kt, vt);