I am editing this because I don't think I was very clear in my approach.
Strengths: Tanky, self heal, some burst, versatile, some very strong support.
Weaknesses: Not a reliable damage dealer in himself, not a strong support (no damage buff or reliable group heal), requires hand management.
The core of the Scholar is versatile tanking, he can sit off by himself and tank highest health damage all day with no help, while catering his game to fit the enemy and the team. That highest health tanking is his strongest addition to the team, and the easiest to maintain. If damage is reducable Flesh to Iron is godly, if damage is not reducable boost your heal and tank it that way.
Along with that Tanking, which is his major strength in a group, he can support and do some good damage.
Support: Don't Dismiss Anything and Proverbs and Axioms are great cards. Really great cards. In a game with plenty of card destruction I sat on cycling DDA quite a bit, of course we had an Omnitron X, so it worked beautifully. He was playing Advancement a lot, let alone his power to get other's cards out. The problem is numbers, with two of each you can't rely on your support game ever getting going, awesome when it does, but that isn't the majority of games. Getting your team their cards back while keeping a DDA in your hand at all times can thwart even the most determined card destroyer.
Damage: Supporting Mortal Form to Energy doesn't give enough damage to be worth the cards most games, I prefer to save it for a Keep Moving/Get out of the way combo (which can be sick with boosted damage and lots of targets), but even a turn of P&A and Better Living is worth throwing Keep Moving to reflect some damage.
How to tank: Pick your poison, like I said above if the damage is reducible Iron is amazing, get one out and never let go. If there isn't card destruction to worry about put two (three if it is called for) out and tank like a boss. Don't worry about liquid, you can heal from one shots. If irreducible damage in causing trouble, get your heals boosted and drop Iron. With two liquids out you can heal tank all day.
Make sure you manage your hand, keep your card numbers sufficient, your one-shots are strong, you don't want to be ditching them just to keep elements up that aren't crucial. Keep one up normally, two if you have Bring What you Need and don't need to heal. Three is a temporary thing, don't crush your hand.
Alchemical redirection is awesome, but you can't liExpect the worst is awesome to give you a chance to recover if you get beat down, or help you tank a nasty shot of damage.
Great combo's:
Omnitron-X: DDA chaining with an Omnitron is awesome, and you can keep him from ever getting highest health burst, while he can heal you nicely. Just make sure you have some strong damage to play with. Scholar doesn't have many cards you waste with X's power, but an untimely loss of an Alchemical Redirection is very sad.
Tempest: Reclaim+DDA can be ridiculous fun, and ridiculously powerful. Everyone stashing a good card on Tempest's turn then setting it loose on the Scholar's turn, insane. With two of each this combo is repeatable every turn. Cards like AA's Silver Shadow, CR's Bounty moving cards, Ex-Pats Unload(!!), MF's Overdrive, X's Tech Advancement, Tach's Fleet of Foot, Unity's Hasty Augmentation/Inspired Repair(not to mention golems) and Wraith's Throat Jab are just ridiculous to play every round, and there are tons of other one-shots that are still awesome. They work together outside of this combo too, but this combo takes the cake, if you get the cards.
Wraith+Unity: The Stealth bot Smoke Grenade Tank combo works great with the Scholar, better than Legacy if the damage is reducible and not one type. Some work to get going, and grenades can be destroyed, but when it is going your whole team is mostly invincible.
TL Tach: Is there anyone she doesn't work well with? Who doesn't like a win button, ridiculous card funnelling leads to very powerful Scholar.
How to make the Scholar shine:
Awareness is the key. Fit your game to what the villain, environment, and other hero decks are doing, and pick your times to focus on tanking and building cards, your time to help your team mates and your times to explode the enemy. The Scholar (as argued below in comments) can be an extremely high damage output Hero, but he can't do it alone. He can burst with Get Out and do some sick damage, esp with damage boosted (make sure you can heal the full amount), he can keep that damage going with a Tempest, AA, Omnitron-X, etc. If you build your team to focus on the Scholar, you don't need to worry about other things, but the Scholar doesn't need a team built around him to be awesome.
Against a villain like the Matriarch, keeping an Iron out is a big deal, it eats most of her damage by itself. Making sure you have enough health lost to throw down 3 Keep going (1 liquid, 2 energy) and Get out will make her pay for throwing all those birds out at once. MAnaging your health, cards, and forms can get tricky, and the better you get at it the better you'll do as scholar.
The Scholar is not going to be a strong tank against decks that don't focus the highest HP hero, or a good damage dealer against ones that eat ongoing cards for breakfast. He's incredibly versatile and incredibly strong, there isn't a situation where he is going to be a weak link on your team.
As a Support he's nowhere near the team management of AA and Visionary, but he's a tank too. He's a great choice to fill out a team that has a damage dealer/support character like Tempest or Omnitron-X, and a poor team mate for a team with a support and tank and no healing already, or a team that really needs a team managment support.
As a first time Scholar player, try going against someone like Grand Warlord Voss or the Matriarch, you can really shine in those fights.