Translation: Easy to Understand Modern MagicKoyomi Morishita is an Ordinary High-School Student who can't do anything right. Figuring that magic could help her out, she follows an old pamphlet to the Anehara Cross School of Magic. Misa Anehara, who lives there with her younger brother, says that the building hasn't been a proper school for years, but she agrees to take on Koyomi anyhow and teach her in the ways of Modern Magic. Koyomi's classmate, Kaho, and a descendant of a powerful magician, Yumiko, end up learning from Misa as well.Based on a series of Light Novels, the show received an anime adaptation in the summer of 2009. The anime adaptation is currently airing on The Anime Network. as Modern Magic Made Simple and on Crunchyroll as Yokuwakaru Gendai Maho.Tropes in Yoku Wakaru Gendai Mahou include:
Acquired Poison Immunity: A magical version with Soshiro. Having been unknowingly exposed to magic through Misa's cooking his entire life, nothing magical affects him.
This is how the Church Militant trains their Mage Killers. It usually kills the person who does it. Soshiro and Misa lucked out. (And Misa luckily avoided being responsible for the death of another family member.) No, Soshiro is not a member of the Church Militant; but enemy mages confuse him for one. (Said Church never actually appears in the anime)
Arbitrary Skepticism: Soshiro refuses to believe magic exists, and thinks all the supposed mages around him are nuts. This is partly because of his magic immunity preventing him from seeing the spells, but it's not clear how he rationalizes the huge washbasins that keep appearing out of thin air right in front of him.
Badass Normal: Kaho. She is the most normal person in the main cast, class representative, and badass modern-time magician. She is probably on par with Misa in understanding modern magic and was able to upgrade Misa's pendant and use a miniature version of Misa's Christmas Shopper (a program that gives her access to all computers on the world) with her cell phone. What makes it even more impressing is the fact that she can't even SEE most of the stuff the others are talking/fighting about.
Boring, but Practical: Seriously, guys! That magic to turn codes into swords really starts getting old after episode 10!
But Not Too Foreign: Yumiko, in spite of her unusual looks, is still Japanese, as she points out.
Chekhov's Gun: Misa introduces a spell that "could call a cell phone that's turned off" early into the third episode. She later uses that spell to call Yumiko... as she's trying to sneak up on a group of Daemons.
Combined Energy Attack: The Sorceress Library has the power of all Ghostscripts in the world. Misa created the Christmas Shopper, a program that gives her access and the power of all computers in the world.
Crazy-Prepared: Knowing that Koyomi would likely get herself into trouble, Kaho placed a hard copy of her phone number into the battery compartment of Koyomi's cell phone. This ends up saving her when she's trapped in an office building.
Koyomi getting herself into trouble doesn't take too much ability to anticipate, however.
Magitek: Any sufficiently advanced magic is indistinguishable from technology, since it all works on electronic pulses, whether those are from a computer (Modern Day Magic) or a person (Classical Magic).
Male Gaze: In the anime, the camera often pauses on female characters' breasts or rear ends.
Mood Whiplash: Various minor examples, what with the bizarre fanservicey comedy interspersed with appearances by the creepy homicidal ghost-wizard, but this really takes effect when Yumiko accidentally impales Misa, and spends the next few episodes angsting over her apparent death.
Stable Time Loop: Koyomi returns to the time when Yumiko is still a kid and met Misa for the first time, originally the cat that Yumiko befriends died and become a ghostscript, but thanks to Koyomi it survives and Yumiko ends up admiring the girl she met that day without knowing it's Koyomi all along.
Of course, once they discover how it works, it goes from 'decently useful' to 'almost unstoppable' as Koyomi can rewrite any spellcode into the basin summoning spell, no matter how powerful or how complicated. This makes attacking her with any sort of magic nigh impossible. Unfortunately, as noted by The Dragon, once she can't create any more codes (your capillaries break if you create too many), she becomes a sitting duck.
Wizarding School: The story's main setting, the Anehara Cross School of Magic. Technically it used to be a school; but the current owner of the house (also a mage) figured "Eh, why not?" and is teaching Koyomi and Kaho for her amusement.