Does the description disclose side effects, auth requirements, rate limits, or destructive behavior?

Goes well beyond the annotations: it discloses that questions are returned WITHOUT answers, that grading is server-side, that the call runs immediately without a confirmation gate, that it writes only the caller's own record, that it is undoable from the same surface, and that it returns an ordinary result rather than a plan_token. The write nature (readOnlyHint=false) and the no-confirmation policy are reconciled explicitly.

Agents need to know what a tool does to the world before calling it. Descriptions should go beyond structured annotations to explain consequences.

Is the description appropriately sized, front-loaded, and free of redundancy?

The purpose is front-loaded in the first sentence, but the CONFIRMATION block is verbose and partly redundant with 'Auto-approved: it is the caller's own study action.' The trailing line about destructive/outbound/financial tools is policy boilerplate not specific to this tool.

Shorter descriptions cost fewer tokens and are easier for agents to parse. Every sentence should earn its place.

Given the tool's complexity, does the description cover enough for an agent to succeed on first attempt?

With no output schema it usefully sketches the return (questions without answers) and the approval behavior, which are the risky parts. But it leaves both parameters undefined and says nothing about what a check identifier or state the subsequent answer/finish calls would need, leaving a gap for a tool with an untyped schema.

Complex tools with many parameters or behaviors need more documentation. Simple tools need less. This dimension scales expectations accordingly.

Does the description clarify parameter syntax, constraints, interactions, or defaults beyond what the schema provides?

The schema has 0% description coverage and the description never mentions either parameter. 'A handful of questions' gestures at the limit parameter but gives no default, cap, or effect, and material_id — the only required argument — is completely unexplained in both schema and prose.

Input schemas describe structure but not intent. Descriptions should explain non-obvious parameter relationships and valid value ranges.

Does the description clearly state what the tool does and how it differs from similar tools?

States a specific verb and resource: 'Start the short pre-material check' of 'a handful of questions spread across levels.' The stated rationale (avoid teaching what the caller already knows) plus the sibling name language_finish_check makes it obvious this is the entry point of a start/answer/finish cycle rather than the grading step.

Agents choose between tools based on descriptions. A clear purpose with a specific verb and resource helps agents select the right tool.

Does the description explain when to use this tool, when not to, or what alternatives exist?

'Start the short pre-material check' plus the placement rationale tells the agent this is a pre-assessment to run before material is served. It does not explicitly say when NOT to call it or name the answer/finish siblings as the follow-on path, so the sequencing is implied rather than spelled out.

Agents often have multiple tools that could apply. Explicit usage guidance like "use X instead of Y when Z" prevents misuse.