Read a fascinating book a few years back called Strange Victory:Hitler's Conquest of France by Ernest R May. Definitely has it's dry spots, but was most revealing. What many don't realize is that the French were well on their way to creating another static front in Belgium before the German's unexpectly erupted from the "impassible" Ardennes after the main French line had moved FORWARD into Belgium.
Bottom line is that the French main body was hampered by two big disadvantages -- its command structure was outrageously, unbelievably inflexible; and the politicians took away the military's best options before the war even started. The Maginot line accomplished its stated goal, and in fact continued to resist for weeks after it had been bypassed and made militarily useless. But the politicians wouldn't allow the military to EITHER build similar defenses along the Belgian border (for fear of offending an ally) OR to advance into Belgian territory when war was declared in order to assure proper defense of France.
So when the Germans started attacking Belgium, the French Army had to wait for political clearance to advance northward and consolidate defensively stronger positions than the pure political boundary allowed. This meant that the first Franco-Nazi battles were closer to meeting engagements than they should have been. Even so, the FRENCH won the armor battles that occurred and stymied German advance. German progress was very slow...UNTIL the forces that got bogged down in the Ardennes broke out from the woods and threatened envelopment. They ALMOST got contained before breaking out, but French dispositions hadn't solidified enough in the area and only a small portion of planned forces were in place. Even after the problem became clear they still had opportunity to "slam the cork into the bottle" and shut things down, but the fossilized command and control systems couldn't cope.
Hitler was not nearly as powerful as later events made him look, and in fact the record shows that many of his generals opposed the war with france. France had more tanks, better tanks, and a larger army than Germany could field. They had the advantages of defense and were fighting on all too familiar ground. Truth be told, even with "blitzkrieg" the French probably SHOULD have been able to stop the Wehrmacht, but the combination of political interference, rigid command structures, and unfortuitous timing in the Ardennes conspired to produce what really was an Unlikely german victory.
In a nutshell, that is the best way to describe the military situation on the ground. Although this topic is not normally discused in France, in some circles the blame is placed in the 3rd Republic, Petain and Comunist Unions (that last part is actually a sore point).
The republic was politically ineffective as it required a change of administration every 6 months and could not unify to create a clear political response. Thus, commiting the army without a clear, unhindered direction. The situation became worst when Petain was named "Head of State". Instead of adapting to the situation, he used the situation to gain total political control (kind of what Hitler did in Germany) and simply forcing the republic to surrender.
There is also the issue of the geriatric high command incapable to adjust its doctrine (read Petain). This change should have happened before the battle. (at worst, it should have happened in 1938).
There is the issue of comunist support for the Nazi party as the Soviet Union and Germany were allied at the time. It has long been suspected that unions controled by the comunists hindered production to the war effort. As things turned out after the collapse of the Soviet Union, it turns out that they did hindered the production of war material under orders from Stalin.
There is the issue of popular support. The republic was not well liked. The horrors of WWI were very fresh in the mind. And the popular opinion was that the "Bosh" would simply impose its political will on the republic and go home... just like any other conflict in Europe of the previous 200 years. I don't think many people understood that the Nazi regime had intensions of establishing an empire in Europe. You almost get the feeling that most people wanted to stay out of WWII.
So, from the political point of view, I don't think the 3rd Republic had a chance, and I don't think many people at the time mourned its passing either. But, this whole episode of history is a sore point for those who lived through it. And it is difficult to get the elders to speak about it without finding a wall or having the person you ask breakdown in tears.