Shared ground
The text presents a repeated, observable link between what happens on the hill and what happens in the fight: when Moses’ hand is raised, Israel gains the upper hand; when it drops, Amalek gains the upper hand. That pattern is stated as part of the story’s logic, not as a coincidence (textual claims: raised hand → Israel prevailed; lowered hand → Amalek prevailed).
The passage also highlights human limitation. Moses cannot keep his hands up because they become “heavy,” and the solution is practical and communal: a stone to sit on, and two people physically supporting his arms until sunset (textual claims: hands heavy; stone seat; Aaron and Hur hold up his hands; hands steady until sunset).
Finally, the story does not replace the battlefield with a hilltop ritual. Joshua still defeats Amalek “with the edge of the sword,” meaning the outcome is realized through actual combat even as the narrative links that outcome to Moses’ raised hands (textual claim: Joshua defeats Amalek by the sword).
Where interpretation differs
Some readers take Moses’ raised hand(s) to be a direct act of prayer or intercession, with the posture itself expressing dependence on God for victory. Others see the raised hand(s) primarily as a battle signal, rallying sign, or leadership gesture, with the staff of God (from the earlier setup in 17:9–10) functioning as a visible marker of divine backing and leadership, even if prayer is not explicitly mentioned in these verses.
A related question is how the text imagines the connection: whether Moses’ raised hands cause the shifts in battle in a straightforward way (God grants advantage as long as the posture continues), or whether the story is describing a divinely ordered sign that accompanies God’s help while Joshua’s fighting remains the immediate means.
Why the disagreement exists
Verses 11–13 do not spell out Moses’ inner actions (no direct mention of praying, speaking, or invoking God), but they do strongly emphasize the repeated correlation between raised hands and “prevailing.” Also, the surrounding context mentions “the staff of God” (17:9–10), while 17:11–12 talks about “hand/hands,” leaving room for different reconstructions: one raised hand vs. both hands, staff-in-hand vs. empty hands, and whether the posture is primarily symbolic or instrumental.
What this passage clearly contributes
Explicitly, it portrays Israel’s victory as involving both coordinated human effort and a divinely framed dependence mediated through Moses’ raised hands: the battle’s momentum tracks with Moses’ posture, Moses’ weakness requires community support, and the day-long struggle ends in Joshua’s sword-won victory.
As theological inference (not directly stated), the narrative often gets read as showing that leadership mediation and communal support matter in moments of crisis, and that visible actions associated with God’s appointed leader can be bound up with the community’s success—even while the actual conflict is still fought on the ground.