Will note some grammatical amendments below; please make any further corrections. And thanks for the help!
Nealu’maehr – Literally translating to “To teach Knowledge”, figuratively translating to “Knowledge Teacher”.
Nealuir – Someone who teaches, “Teacher”
Mali’taelu – Literally translates to “Elf to Learn”, where it could figuratively translate to mean “Elf who learns”.
Taeluir – Someone who learns, “Student”
Fi’taeluir – Lit. “New Student”, or “Initiate”
Mali’taeluir – Elf who learns, “Elf Student”
Bortu’taeluir – Dwarf who learns, “Dwarf Student”
Valah’taeluir – Human who learns, “Human Student”
Uruk’taeluir – Orc who learns, “Orc Student”
Uhier’maehr – Literally translates to “To seek Knowledge”.
Uhierir – Someone who seeks, “Seeker”
Uhierir’maehr – Someone who seeks Knowledge, “Scholar”
Taeluir’ailer – Someone who learns Wizard, figuratively translating to “Wizard Student”.
Nealuir’ailer – Someone who teaches Wizard, figuratively translating to “Wizard Teacher”.
Puerith’maehr – Literally translating to “To record Knowledge”.
Puerithir – Someone who writes, “Scribe”
Puerithir’maehr – Someone who records knowledge, “Librarian”
Nealu’san – Literally translating to “To teach to Speak”
Nealuir’san – Someone who teaches to Speak, “Linguistics Teacher”
Taelu’san – Literally translating to “To learn to Speak”
Taeluir’san – Someone who learns to speak, “Linguistics Student”
Taelu’san’an (Taelu’sanan) – Literally translating to “To learn to speak many”.
Taeluir’sanan – Someone who learns to speak many, “Polyglot”
Nealu’inde – Literally translating to “To teach History”.
Nealuir’inde – Someone who teaches history, “History Teacher”, “Historian”
Evar’maehr – Literally translating to “To protect, to preserve Knowledge”, figuratively translating to “Preservers of Knowledge”.
Evarir’maehr – Someone who preserves knowledge, someone who protects knowledge.
Nealuir’ignesae – Someone who teaches War, “War Teacher”
Nealuir’norsae – Someone who teaches farming, “Farming Teacher”
Nealuir’bilok – Someone who teaches to create, figuratively translating to “Craft Teacher”
With the amendment of the Ancient Elven word for “Teacher”, “Maehr’sae” becomes redundant and will thus be purged from the study.