Ryouta walked into the open field. A man of considerable girth stood amidst various targets sprinkled around the field. Ryouta approached him.
“I assume you’re the trainer?”
The rotund man nods. “Uh huh. Tell me, what have you learned from your classes about kido?”
“In a nutshell, that it is magic, and requires a small incantation of sorts, sometimes more.”
“Good enough, I suppose. It’s about controlling your reiatsu so you can cast spells of sort. Observe.” The fat man points at a dog that looks like it’s just about to lift a leg on one of the target’s poles. “Way of Binding #4: Hainawa!” A yellow rope of reiatsu erupted from the hand of the instructor, and wrapped itself around the dog, which resulted in its urine sprinkling away from the pole.
A look of disgust wrinkled Ryouta’s features for a moment. “OK…”
“Of course, you only have a rudimentary understanding, from what I can tell.”
Ryouta shrugged. “I’m not that bad.” He points at a bird that’s flying across the sky. “Way of Binding#1: Sai!” The bird’s wings snapped to its sides, and it plummets to the ground. “See?”
“You performed a first level spell. I’m not impressed. Try something on me.”
“Fine. Way of Binding#4: Hainawa!” A yellow rope of reiatsu springs from Ryouta’s right hand, then wraps itself around the instructor. The instructor tests his bonds by flexing his muscle a little.
“Not bad. But…” The instructor made a sort of wriggling motion, and the ropes fell away. “You need to solidify your reiatsu more. Even a low-level spell like that can be hard to break out of if you make the rope really strong. Try again.”
Ryouta closes his eyes and falls within himself. He searches deep within him for the energy he instinctively knows is his- upon finding it, he grasps it tightly, then visualizes projecting its force against the instructor. “Way of Binding#4: Hainawa!” A much thicker rope of reiatsu springs from Ryouta’s hand, and again, wraps itself around the instructor.
Struggle as he might, the instructor can’t break loose without the aid of kido of his own.
“Excellent! You improve fast.”
Ryouta runs his hand through his messy black hair. “I’m a talented guy. So…when do I get to try Way of Destruction spells?”
The instructor looks upward as if considering something. “Well, ordinarily, I wouldn’t allow it…but you have shown that you can control your reiatsu. Just the first spell. Do you know it?”
Ryouta nods. Again, he closes his eyes and focuses on his inner energy. It is much easier this time to grasp. He points at one of the targets. “Way of Destruction#1: Sho!” Time seems to slow down; Ryouta feels a tugging feeling in his stomach, but it’s a good feeling, as if he just unleashed a wonderful thing. A sort of pulse seems to run up his arm in slow motion, and is projected at the target. Time speeds back up.
FWOOSH! Not only does the spell take out the single target, it annihilates parts of the ones behind it.
Ryouta blinks in surprise. “That was unexpected.”
The instructor nods. “Truly.”

Approved +2 to kidou.

Ryouta returned to the kido training field for a second time. He greeted the trainer warmly. “’Sup man, how’s it going? This is my favorite course at the Academy, bar none.”
The fat man chuckles. “Kind of you to say. I would’ve thought a young man like you would prefer fighting.”
“Meh. I don’t plan on entering 11th squad for longer than I have to.”
“Haha, all right. Well, since you showed such a proficiency for Kido in our previous lesson, today, I will teach you 3 individual spells- one destructive, two binding. Which would you like to start with?”
“Binding, definitely.”
“All right, the first spell is the 8th spell. It’s command is ‘Seki.’ It summons up a shield that will repulse or even paralyze an opponent, depending on the strength of it.”
“Doesn’t seem so difficult.” Ryouta closed his eyes briefly and summoned up his reiatsu. It was getting easier and easier to do so. He pointed at the instructor. “Bakudō no Hachi: Seki!” A round shield appeared around the fat man; it looked white in color, and seemed to crackle with energy.
“Very good! This shield is excellent. And, it looks like we have a glimpse at your reiatsu type, or what your Zanpakuto is likely to be. It looks like it’ll be electrically based.”
“Fun stuff. The next spell is ‘Geki,’ right?” The fat man nods as he dispels the shield around him. “OK, I’m gonna say the whole incantation for this one.” Ryouta pointed at the instructor again. “Disintegrate, you black dog of Rondanini! Look upon yourself with horror and then claw out your own throat! Bakudō no Ku: Geki!” A pillar of red light surrounded the instructor, glowing eerily and crackling with the same electrical energy. It seemed very over the top, as there was a radius of about 5m around the instructor. The instructor smiled after he released himself. Ryouta couldn’t help but notice with some satisfaction that the instructor was sweating. That meant he was making excellent progress.
“Very good. See if you can do it without the incantation.” The fat man mopped at his brow with a handkerchief.
Ryouta closed his eyes and focused again. He pointed his hand at the fat man. “Bakudō no Ku: Geki!” Again, a pillar of red light engulfed the instructor. However, this time, the pillar was almost form fitting, there was only a radius of about a foot.
The instructor smiled. “As you can see, without the incantation, a spell is significantly weaker. And now- I will teach you the Destructive spell.”
Ryouta held up his hand. “No need, I know it.” He pointed with a look of intense concentration on his face at one of the targets. He moved in such a way so that he would hit the targets behind it as well, provided his spell was successful. “Hadō no Yo: Byakurai!”
A massive bolt of lightning, three times around the size of his arm expulsed itself from Ryouta’s outstretched hand, effectively disintegrating all the targets he had aimed at.
“Wow. Was not expecting that.” Ryouta smiled at his handiwork.
The fat man blinked in astonishment. “It looks like lightning really is your element.”

Approved + 2 to Kidou.

Ryouta walked onto the kido training field for the third time. “How are ya today, Sensei?”
“Very well thank you. I hear from my colleagues that you have progressed very well in everything.” The fat man smiles broadly.
“I’m not one to brag, but…I am a talented guy,” Ryouta smiled. “What’s today’s lesson about, Sensei?”
“You have progressed to the point where you can cast an interesting little Hadō spell, ‘Tsuzuri Raiden.’ It’s very useful against several enemies who are all standing on the ground.”
Ryouta nodded. “I’ve read of it.” He pointed at a group of dummies with (badly) painted Hollow masks on them. They are all connected by an iron chain. “I assume those are for me to practice on.” The fat man nods.
“Okey doke.” Ryouta puts a hand on the chain that’s holding all the dummies together. “Hadō no Ju-ichi: Tsuzuri Raiden!” His hand glows blue with electrical energy, and it seems to transfer said energy into the chain, which also glows blue. An intense looking charge races down the chain till every dummy is glowing blue. Time stops for an instant; the dummies all explode outward with crackling electrical force. Ryouta’s hair is now standing on end, giving him a ludicrous looking afro.
“Excellent as always,” the fat man smiled. “I think now is the time for you to test your abilities against a real enemy.” He pulls out a small white capsule. “This is Hollow bait. I have placed a shield around this area so they will only appear here. Use only kidō.” The fat man broke the capsule.
Ryouta waits with some trepidation as seconds tick by. All of a sudden, he feels a sinister sort of reiatsu enter the area. Spinning, he whirls to see a gigantic Hollow that looks something like an enormous gorilla. “Hadō no Yo: Byakurai!” The bolt of lightning burned through the Hollow’s mask, and with a dying scream, it became dust. Then, Ryouta felt several Hollow reiatsus appear at once. A quick glance around the field confirmed his feelings- several Hollows had appeared. Some where roughly humanoid in size and shape, but there were two larger ones like the gorilla from before. Ryouta tensed. He couldn’t take them all out with Byakurai. But…Ryouta concentrated his reiatsu, putting as much as he could into this next move.
“Bakudō no Yo: Hainawa!” A yellow rope exploded from his outstretched hand. It encircled all of the Hollows and bound them close. “Whew! Wasn’t sure if that would work…” Behind him, the instructor nodded in silent approval. This one knew how to use his head- unlike some of the current 11th squad members he’d had to teach.
“Hadō no Ju-ichi: Tsuzuri Raiden!” Ryouta gripped the rope in his hand. It glowed blue, and instantly, all the Hollows that he had bound began to glow an eerie blue. And time stood still again. Each of the Hollows was torn apart as the spell ripped through them.
Ryouta smiled with satisfaction. “No big deal.”
The instructor nodded. “Not for you, it seems.”

+1... it's a nicely formed story, but you need to watch tense changes. You've mixed present and past tense quite a bit. (btw, most people are more comfortable reading prose put in the past tense rather than the present. Present tense in writing makes me itchy for some reason so of the two you know which one I'd vote for!) Otherwise it is very well crafted and I enjoyed reading it.

“So, am I done here yet?” Ryouta asked the instructor whom he was now quite good friends with.
“No, not quite, my friend,” the fat instructor shook his head. “You have proved yourself against common Hollow, even exercising some ingenuity when you did so, but there is still more to do.”
“And that is?” Ryouta asked with some anticipation in his voice.
“It is possible to channel kidō spells through your Zanpakutō, granting ordinary strikes greater ability. For example, you might want to try using Byakurai to augment your abilities, seeing as lightning appears to be a comfortable element with you.”
Ryouta closed his eyes and tried to focus his reiatsu. He breathed in and out very calmly and deeply so he could concentrate on this task to the exclusion of all else. Ryouta began to channel his reiatsu into his Zanpakutō; they glowed an eerie white color with it.
“Hadō no Yo: Byakurai!” Ryouta felt the familiar rush of power as lightning seemed to congeal and swirl around both blades. Then, he lost his concentration, and the lightning shot out of both ends of the swords to leave smoldering patches on the otherwise immaculate kidō field.
“Close, very close!” said the instructor. “You need to maintain your concentration in order to maintain the spell in your Zanpakutō. This is very difficult- you will be using this kind of thing in battle. If you can’t keep your concentration here, there’s no way you could in battle. If you can maintain it in your Zanpakutō, I want you to attack me, to simulate an actual battle.”
Ryouta nodded and again closed his eyes and concentrated. “Hadō no Yo: Byakurai!” Once again, his twin ninjato glowed an eerie white color. Sweat formed on his brow as he fought to keep concentration. Then a passing Hell butterfly flew by, he got distracted, and again the lightning discharged into the ground.
“That was better,” said the instructor. “Let me give you a tip- you need to concentrate, but not too much, see. You’re an intelligent guy, so I’m sure you can do this. It isn’t necessary to have your full attention on the maintaining of the spell; you just need a small part of your mind focused on it. That way you’ll be able to react in battle situations.”
Ryouta nodded again. This time, he focused on his reiatsu, but also tried to focus on several different things at once; the targets around the field, his instructor, etc. He reached a stage where he was dimly aware of his concentrated reiatsu, but fully cognizant of his surroundings. “One more time- Hadō no Yo: Byakurai!” His ninjato glowed the eerie white color yet again, and this time, they held that way. Ryouta turned to face his instructor, then charged at him, jumped, and came down with a powerful overhead cut.
“Bakudō no Hachi- Seki!” The instructor’s arm came up, and both Ryouta’s blades struck it and seemed to hold there for a second. “Hadō no Ichi: Sho!” The instructor blasted Ryouta several feet away with a small spell.
Ryouta looked impassively at his instructor. I need to find a way to penetrate that shield, or at least crack it- I wonder… “Hadō no Yo: Byakurai!” His blades glowed an even brighter white. Ryouta focused, getting them to vibrate and travel around the blades at ultrasonic speed. He ran up to the instructor and struck the shield a second time. The intensity of his blow seemed to surprise the instructor, and his eyes widened as his shield began to crack.
“Enough!” the instructor dispelled his shield as Ryouta discharged his lightning into the ground. “What did you do? How did you do that?”
Ryouta scratched his head. “I was reading a book written by Kurotsuchi Mayuri about a group of humans called Quincy. Apparently, they possess a weapon called Seele Schneider that vibrates at high frequency to loosen spirit particles. I thought the same idea would work here.”
The instructor shakes his head in amazement. “I have never seen such a knowledgeable student.”
Ryouta smiled. “Thanks. Later man.” He walked off the kidō field.

+2, and thread closed. Congrats