Magistra imaginem navis in tabula pingit, ut discipuli proram et puppim intellegant.

It has two parts:

• Main clause: Magistra imaginem navis in tabula pingit

  • Magistra = the teacher, subject
  • imaginem navis = a picture of a ship, direct object
  • in tabula = on the board/tablet/panel
  • pingit = paints / is painting

• Purpose clause: ut discipuli proram et puppim intellegant

  • ut = so that / in order that
  • discipuli = the students, subject of this clause
  • proram et puppim = the prow and the stern, objects
  • intellegant = may understand / understand

So the structure is: The teacher paints a picture of a ship on the board, so that the students may understand the prow and the stern.

Because imaginem is the accusative singular form of imago.

Here, the picture is the direct object of pingit: the teacher paints a picture. In Latin, a direct object usually goes in the accusative case.

So:

• imago = a picture/image, as a subject
• imaginem = a picture/image, as a direct object

This is very common with third-declension nouns: the accusative singular often ends in -em.

Because here navis is genitive singular, depending on imaginem.

Latin often uses the genitive to show of:

• imago puellae = a picture of the girl
• imaginem navis = a picture of a ship/the ship

A tricky point is that navis looks the same in more than one case:

• nominative singular: navis
• genitive singular: navis

So you have to decide from the sentence. After imaginem, the meaning is clearly picture of a ship, so navis is genitive here.

Because in takes the ablative when it expresses location.

Here the idea is on/in the board/tablet/panel, not movement into it. So Latin uses:

• in + ablative = in, on
• in + accusative = into, onto

So:

• in tabula = on the board / in the picture space / on the panel
• if it meant motion onto something, Latin could use in tabulam

This is a very important difference to learn with in.

Yes, it can mean on the board or on the tablet/panel.

Latin in with the ablative can mean either in or on, depending on the noun and the situation. With flat surfaces or writing/drawing spaces, English often prefers on:

• in mensa = on the table
• in pariete = on the wall
• in tabula = on the board / tablet / panel

So this is normal Latin usage, even if English chooses a different preposition.

Because ut introduces a purpose clause here.

A purpose clause answers the question why?
Why is the teacher painting the picture?
So that the students may understand the prow and the stern.

In Latin, purpose clauses use:

• ut
  • subjunctive

So:

• ut discipuli ... intellegant = so that the students may understand

If Latin used intellegunt, that would be indicative, and it would not express purpose in the normal classical way.

Because the sentence has two different clauses, and each clause can have its own subject.

• In the main clause, magistra is the subject: the teacher paints.
• In the purpose clause, discipuli is the subject: the students understand.

So Latin is not saying that the teacher understands the prow and stern. It is saying that the teacher paints the picture so that the students understand them.

This is very natural in both Latin and English.

Because they are the direct objects of intellegant.

The verb intellegere means to understand, and what do the students understand?
They understand the prow and the stern.

So Latin puts both nouns in the accusative:

• proram
• puppim

This works just like English understand something.

Because puppis belongs to a group of third-declension nouns that can have -im in the accusative singular.

So:

• nominative: puppis
• accusative: puppim

This looks unusual if you are expecting the more common third-declension accusative ending -em, but some nouns keep this older -im form.

So proram et puppim means the prow and the stern.

Yes. Latin word order is much freer than English word order because the endings show each word’s function.

This sentence puts the words in a very natural arrangement:

• first the main action
• then the purpose clause

But Latin could rearrange many parts for emphasis, for example:

• Imaginem navis magistra in tabula pingit
• Ut discipuli proram et puppim intellegant, magistra imaginem navis in tabula pingit

The meaning would stay basically the same, though the emphasis might shift.

It can mean either, depending on context.

Latin present tense often covers both:

• she paints
• she is painting

So magistra ... pingit could be understood as either:

• the teacher paints
• the teacher is painting

English usually chooses between simple present and progressive more sharply than Latin does.

Because English does not always show the subjunctive in a special form.

Latin intellegant is clearly subjunctive, but English often translates a purpose clause in a few possible ways:

• so that the students may understand
• so that the students can understand
• so that the students understand

The first one, with may, often shows the Latin grammar most clearly.
The others may sound more natural in everyday English.

So the Latin form is important grammatically, even when English translation can vary.