Son of Ether character.

[DaddyInDaBasement]

"Technocrats and other mages who deny the existence of their Avatars still Seek, but rationalize the experience as vivid dreams or transformative, yet ordinary life events. In every case, Avatars tailor Seekings to mages’ beliefs and emotions"

"During what we call Seekings, the Avatar challenges the mage to reach further, unravel mysteries, pass tests, withstand temptations, face her fears, or embrace her true potential. Like a teacher, the Avatar presents obstacles and problems for the mage to solve; if she succeeds, the Avatar grants more understanding of magick’s gifts; if not, that mage stays stuck where she’d been until she’s ready to pass the test."

I'm wondering what could be the ways in which the avatar puts the obstacles in front of Ether? What could be the examples of daily life problems or dream that an Ether experiences through Seeking?

I am just a beginner that's starting so a little help would be appreciated and thanks for your answers.

[Saikou]

All kinds of things.

One Etherite's avatar might throw them into elaborate thought experiments, such as a train travelling at the speed of light, where they must act in order to avoid a collision.
Another's avatar may instead be grounded in reality, requiring that they build their way out of a prison cell, or an abandoned mine.
Other's still may immerse them in the fantastic, having them stand on a dirigible, in which case they may be acting at pilot, navigator, or even look out to help get from a to b, or simply keep the ship in the air.

A lot of this will depend on their Avatar's Essence, as well as the kind of things their Etherite engages in, and what sort of lesson the Etherite has to learn.

For example, an Etherite who is often right, but frequently quiet about it may find themselves as navigator on a ship with a blind but stubborn captain who is directing their ship straight towards a mountain. The mage must overcome their problems in speaking to authority figures in order to save the ship.
A different mage may instead be overconfident and arrogant, they may be at the whelm of the ship, and must listen to the advice of those they consider inferior in order to avoid crashing the ship.

It's always good to incorporate the Mage's particular interests and beliefs into a seeking. So an Etherite who believes the universe is literally run on clockwork and specialises in Time magic may see a lot of cogs and gears, and perhaps a number of time pieces involved in their seekings. While an Etherite who is building themselves an Iron Man style suit may instead see many themes of Trans-humanism in theirs. That being said, no detail should be superfluous, if the imagery isn't pertinent to the seeking itself, it shouldn't be in there.

That's how I'd do it, anyway.

[DaddyInDaBasement]

Problem is these examples might work for an advance mage and the one I am playing has arete 1 and matter 1 and all this allows me is to only perceive properties, structure, stability.

[Bluecho]

That's not a problem. Seekings don't really take into account the kind of Magick you can do, but what you believe and what lessons you need to learn. These are matters that come up among the lowest initiate to the highest archmage. Even if the character's capabilities are meager at the moment, they still have a Focus (Paradigm, Practice, and Instruments), which dictate what they believe the universe to be, and how that lets them do Magick.

A first Seeking is liable to be simple - a softball test the Avatar sends the Mage's way to get them going. As their Arete climbs, subsequent Seekings will take the symbolism from earlier ones and complicate them.

[Spacecat]

I'm thinking you could draw inspiration for a technomage's seeking from the movies A Beautiful Mind (2001), that short dream sequence in Lorenzo's Oil (1992), or that or even that strange dream sequence in Gravity (2013) or some of that weirdness in The Secret life of Walter Mitty (2013).

Maybe Sir Isaac Newton had a seeking involving an apple falling from a tree.
Perhaps Plato describes concepts the way he does because they were how he'd seen them in his seekings.
Maybe the book Einstein's Dreams is a compilation of his seekings.

Also, according to Cracked:
A guy who dreams about getting stabbed invents the sewing machine,
Einstein dreamed about electrocuting cows to come up with the special theory of relativity
Benzene came from a dream of snakes
& Descartes came up with the scientific method after a dream involving a whirlwind, ghosts, and melon cravings

Check these out. They make for interesting seekings for the less mystically minded.

[BurritoMage]

Problem is these examples might work for an advance mage and the one I am playing has arete 1 and matter 1 and all this allows me is to only perceive properties, structure, stability.

Have the mage under take a test to "prove" their paradigm, to quantify that their brand of Science! Is correct amongst a panel of doubting fellow scientists