Patterns
EXD.1 - Establish and Revise What a Recipient Needs Explained
EXD.1:1 - Problem frame
Use this pattern when someone needs an explanation and the needed connection, contrast or use is still unclear, or when a contribution changes what the explanation should answer. The reader may be preparing a lesson, explaining a technical account, discussing advice or assisting a human–AI exchange.
Begin with the recipient’s request and the situation in which its answer matters. Ask the smallest question that distinguishes the consequential alternatives. A usable first result is a question the participants can answer under named conditions, together with the intended use and the subject input still needed.
When a request already identifies a sufficient question, use it. “Show how the total of these eight values gives their mean” can lead directly to the available calculation. Additional elicitation is useful when it can change the next explanation.
EXD.1:2 - Problem
“Why is this wrong?” can hide several questions. The recipient may have made a calculation error, used a different aggregation rule, questioned a premise or asked whether the result serves a decision. Answering the first interpretation that comes to mind can produce a valid account whose decisive relation is irrelevant to the recipient.
Preparation is also easy to misread. A course title, professional role or fluent acknowledgement does not reveal whether the person can use the particular relation needed now. Question work must recover enough of that local understanding to choose the next contribution without turning every request into an assessment session.
EXD.1:3 - Forces
| Force | Practical tension |
|---|---|
| A quick answer and a consequential ambiguity | A short request may already be clear; a small clarification can also prevent a long explanation of the wrong question. |
| The subject and the recipient’s purpose | The subject constrains which answers are warranted. The recipient’s purpose selects which of those answers is useful. |
| Available knowledge and added burden | An initial attempt can reveal the missing relation, but requiring a demonstration adds work and can distract from a simple request. |
| Continuity and revision | Earlier explanation can remain correct while a changed purpose makes another question current. |
EXD.1:4 - Solution
EXD.1:4.1 - Recover the requested connection and its use
Start with the recipient’s own words and the task at hand. Identify what the answer would let them infer, distinguish, predict, calculate or do. Keep the question and purpose distinguishable: “What is the average across these people?” asks for a statistic; “I need a fair comparison of branches” states a purpose whose rule of fairness remains to be settled.
When alternatives would lead to different answers, offer a brief discriminating clarification. For an average, ask whether each individual or each group should receive equal influence. For a recommendation, ask whether the recipient needs its existing grounds or evidence that following it will develop a capability. Choose the contrast from the actual task and available account.
Accept a clear answer, a corrected paraphrase or a still-unresolved choice. If the recipient cannot choose, state the conditional questions. “We can calculate either summary; we still need to decide which unit should count equally” is a useful result.
EXD.1:4.2 - Locate usable preparation at the needed grain
Use what the recipient has already supplied: a question, attempted calculation, annotation, example, objection or description of intended use. If the next contribution depends on a particular prerequisite and that prerequisite is uncertain, ask for a small relevant inference. “What total does a group of six with mean eight contribute?” tests the needed relation more directly than asking whether the person knows statistics.
Treat the response as evidence about this task under its conditions. If you supply the multiplication step before the person answers, their later answer is assisted. Preserve that distinction when it matters to choosing help or judging independent use. A recipient asking for advice may need only a premise explained; an instructional diagnosis is then unnecessary.
When interaction is unavailable, prepare from the known audience and task. State assumptions that change the answer, expose the relevant alternatives in the text and provide a usable return. A reader can select an explicit branch without first completing a questionnaire.
EXD.1:4.3 - Form the question that the subject can answer
State the target relation, relevant conditions and the needed answer. A short sentence usually suffices: “For these eight values, why does equal weight per individual require weighting the group means by their counts?” Obtain its subject basis through Obtain and Carry the Subject Explanation.
If the requested connection lacks a warranted account, return that question to the relevant subject work. A causal claim may need an investigation; a recommendation may need another premise; a mathematical answer may need a definition or proof. Keep the question available while that work proceeds. Polished wording cannot close a missing warrant.
EXD.1:4.4 - Revise when a contribution changes the target
Compare a new contribution with the current question. Does it reveal a different intended use, change a relevant condition, dispute the subject basis or expose an error under the same question? Make the consequence explicit in the next explanation.
For a changed target, state the new question and what remains valid from the earlier answer. For an error under the same target, retain the target and repair the affected inference. For a disputed premise, recover or revise the subject account. In an exchange, use EXD.4 to choose and interpret the next contribution.
Stop when the question is clear enough to select the required account and a useful next explanation, or when a specific unresolved input has an actionable return. A formal question record is useful only when the work needs one.
EXD.1:5 - Archetypal Grounding
A learner asks why averaging two group means gave the wrong result. Group A has the values 2 and 4; group B has six values of 8. The initial task explicitly asks for the mean across all eight individuals. The learner can add and divide but has used (3 + 8) / 2 = 5.5.
A useful question statement is: “Why do the group sizes matter when we give every individual equal weight?” The account reconstructs the group sums, 2 × 3 = 6 and 6 × 8 = 48, and divides 54 by eight to obtain 6.75. If the missing connection is that count multiplied by mean reconstructs sum, the explanation must expose it.
The recipient then says, “For my report, I want each branch to count equally, regardless of how many people it has.” This explicitly selects a different aggregation rule, so the explainer can answer the revised question directly.
The revised question is the equally weighted mean of the branch means. Its answer is 5.5. Close with the label and condition: “Mean of branch means, each branch weighted equally: 5.5.” The earlier 6.75 remains correct for the average across individuals. The management justification for choosing one summary still belongs to the report’s decision.
This is a constructed case. Its arithmetic fixes the local answer criteria; the conversation illustrates the proposed question work. It supplies no measured learning result.
In a different use, an adviser has explained why a bounded coordination assignment fits Mira’s demonstrated strengths and available protected time. Mira asks why doing it would teach a missing capability. Recover the new learning question and obtain its learning rationale. Repeating the evidence of existing strengths does not supply that additional connection. If Mira instead understands the recommendation and prefers a course’s social setting, the new contribution concerns preference and advising.
EXD.1:6 - Bias-Annotation
The explainer’s expertise can make one interpretation seem inevitable. Begin with the actual requested use and keep a serious alternative visible when it would change the answer. A question bank can reveal possibilities, but its categories may constrain what recipients ask; allow them to supply their own question and reason.
The instructional case makes a correct answer easy to compute. In technical or advisory work, disagreement about the basis can remain unresolved even after the question is clear.
EXD.1:7 - Conformance Checklist
For recognition, locate a consequential ambiguity, missing prerequisite or changed question. If the supplied question already supports a useful answer, direct use is enough.
For assurance of this question result, check that:
- the question and the purpose can be distinguished;
- the selected relation and action-changing conditions are explicit enough to choose a subject account;
- any preparation claim has an actual task basis or is stated as an assumption;
- a new contribution changes the appropriate question, premise, help or interpretation;
- an unresolved input has a specific return, or the current question has a usable next answer.
These checks concern the question and its use. Retention and transfer need their corresponding evidence.
EXD.1:8 - Common Anti-Patterns and How to Avoid Them
| Failure visible in use | Repair |
|---|---|
| Repeating why 5.5 is wrong after the recipient selects equal branch weight | Restate the changed aggregation question and answer it under its own rule. |
| Taking “I understand” or a qualification as evidence of the needed inference | Use an already available response or one relevant inference when that distinction can change assistance. |
| Treating an elicited list as a complete account of the recipient’s need | Ask what the question would help them do and allow an unlisted contribution. |
| Reopening a clear request with an elaborate interview | Use the sufficient question and return to clarification only when a consequential uncertainty appears. |
EXD.1:9 - Consequences
The next explanation can target a relation the recipient needs and the subject can support. A changed purpose becomes a reason to revise the target rather than a reason to repeat or lengthen the same account.
This work costs attention and can expose a decision or source gap that the explainer cannot settle. The useful stopping point is then a bounded question and return, with any independently supported answer retained.
EXD.1:10 - Architectural Rationale
A question is useful before a text is prepared and within a live exchange. Its first result therefore deserves direct access. The dialogue pattern uses that result and can return a changed question; it also governs contribution size, feedback and repair that question formation alone does not provide.
Separating purpose from question prevents a mathematical definition from silently deciding an aggregation policy. Separating preparation from the answer prevents added help from being mistaken for independent knowledge. Both distinctions change the smallest useful next move.
EXD.1:11 - SoTA-Echoing
Liao et al., 2021 connect question elicitation in concrete tasks with the purposes and explanatory solutions that can answer them. Adapt that move to the recipient’s intended inference and actual subject. A generic catalogue is a useful prompt; one discriminating task question can be sufficient.
Schmude et al., 2025 used free questions, a question bank and clarification in two algorithmic-decision scenarios with 24 participants. Their exploratory work supports allowing recipients to state why information matters and to go beyond prepared categories. It establishes neither completeness of the bank nor a general comprehension effect.
Galbraith and Khalifa, 2026, §§2 and 5 propose an interrogative account of understanding while leaving important epistemic conditions open. Use the question discrimination; subject warrant still comes from the relevant account. The procedure here is a bounded explanation-practice adaptation.
At the same practical grain, “Why is 5.5 wrong?” and “Which unit receives equal weight?” can both be brief. The latter distinguishes the live alternatives in the worked case. That conceptual advantage does not establish a measured reduction in conversation time. Reopen the adaptation when a recurring use cannot express its needed distinction through the proposed question work.
EXD.1:12 - Relations
EXD.4 uses and revises the question during an exchange. The supplied-account entry obtains the answer’s subject relations and conditions.
FPF A.2.9 supplies communicative-use distinctions where that analysis is needed. C.2.8 characterizes what a particular observer can recover from an account and form under selected conditions; it does not choose the question’s purpose.
EXD.1:End
EXD.2 - Build and Bound an Explanatory Example
EXD.2:1 - Problem frame
Use this pattern when a recipient needs to connect a principle, definition or claim with a particular instance. A worked calculation, comparison, analogy or counterexample can expose the relation that a statement alone leaves hard to use.
Start by naming the relation the instance must show. Choose values or circumstances for which the intended rule and a plausible alternative lead to a consequential difference. The first useful result is a worked instance, its correspondence to the claim and the condition that bounds its use.
A recipient who already has a sufficient direct account may need no further example. When the claim itself lacks a warrant, obtain that subject basis before choosing an illustrative instance.
EXD.2:2 - Problem
An attractive example can make a statement memorable while hiding why it applies. A recipient may copy the numbers or surface features, infer a rule from one convenient success, or carry an analogy beyond its justified correspondence.
The example must therefore do two jobs together: make the needed connection recoverable and discriminate its valid use from a consequential alternative. A correct final answer alone does not establish either.
EXD.2:3 - Forces
| Force | Practical tension |
|---|---|
| Simplicity and discrimination | Easy values reduce calculation burden but may make different rules produce the same number. |
| Familiarity and correspondence | A familiar setting can support the mapping or draw attention to irrelevant similarities. |
| Guidance and independent contribution | Showing every step can supply the needed relation; an initial attempt can reveal what support is missing. |
| A useful boundary and excess detail | One changed condition can expose the limit, while an exhaustive catalogue can obscure the first connection. |
EXD.2:4 - Solution
EXD.2:4.1 - Select the relation and a discriminating instance
Recover the current question through EXD.1 when necessary. Obtain the definition, derivation, causal account or rationale through the supplied-account entry.
State what the recipient must connect. In a pooled mean, each group mean multiplied by its count reconstructs the group sum; the group sums and counts combine separately. Select small values that preserve this relation while exposing a likely competing rule. Unequal counts and unequal group means distinguish pooling individuals from giving groups equal influence.
Use a real case when its evidence and complexity fit. A constructed case is useful when its assumptions and answer criterion can be made explicit. Identify which it is.
EXD.2:4.2 - Work the correspondence, not only the answer
Show the intermediate quantities, relations and conditions needed to obtain the result. Connect each significant step to the claim: which quantity instantiates which part, why this operation is legitimate, and what condition makes the inference usable.
For a worked calculation, name the units and what each numerator or denominator counts. For a causal example, distinguish observations from an inferred mechanism. For an analogy, identify the relation that corresponds and a feature that does not transfer. A picture of two similar objects cannot supply that correspondence by itself.
If a recipient contribution would help locate the difficulty, first invite a small unassisted mapping: “Which quantity here is the total represented by the group mean?” Retain the response. Then provide targeted component guidance, such as identifying the count and asking how to recover the sum. A recipient with little relevant preparation may instead need the worked relation first.
EXD.2:4.3 - Vary the condition that matters
Choose a changed case that distinguishes the intended relation from the plausible alternative. Ask what should stay the same, what should change and why. Keep irrelevant complexity low enough for the relation to remain visible.
Inspect the rule as well as the number. Equal group counts allow an unweighted average of the group means to agree with the pooled mean. Equal group means can also make the two numerical answers coincide despite unequal counts. The governing target still determines which weighting rule the explanation should express.
Use EXD.5 when a recipient’s own account and supported correction serve a learning purpose. Use EXD.4 when the response changes the question, premise or next explanation.
EXD.2:4.4 - Bound the example and stop at its useful result
State the admissible correspondence and the nearest consequential limit. A branch can be a unit in one aggregation question and contain several equally weighted people in another. The same data then support different summaries.
Retain the smallest example or pair that supplies the needed distinction. Add another case only when it can reveal a remaining wrong generalization or support the intended next use. An example is evidence of the particular relation it demonstrates; claims about learning from it need the recipient evidence appropriate to that claim.
EXD.2:5 - Archetypal Grounding
A recipient can average a list but combines group means without considering counts. The question is the mean across all individuals.
| Group | Count | Mean | Reconstructed sum |
|---|---|---|---|
| A: values 2 and 4 | 2 | 3 | 2 × 3 = 6 |
| B: six values of 8 | 6 | 8 | 6 × 8 = 48 |
| Combined individuals | 8 | 6.75 | 54 |
The mapping is explicit: count × mean reconstructs each group sum; sums add to 54; counts add to eight; mean is total sum divided by total count. Averaging 3 and 8 instead gives equal weight to the two groups and yields 5.5.
Now reduce B to two values of 8. Both groups contain two values. Their combined sum is 22, count four and mean 5.5, matching (3 + 8) / 2. Ask why the shortcut agrees: equal group counts make equal group influence correspond to equal individual influence.
Finally, keep unequal counts but give both groups mean 3. Both summaries are 3. Ask whether that numerical coincidence establishes the same weighting rule. It does not: the means coincide, so changing the weights leaves that number unchanged. This case blocks the overgeneralization that unequal counts must always produce different numerical answers.
The useful outcome is a justified choice of rule, including when a convenient shortcut produces the same result. All three cases are constructed mathematical instances. They demonstrate the stated relations, not an observed learning advantage.
For a constructed technical example, a manual states that a batch of twelve parts costs 30 currency units. A guide promises to explain the cost per part without requiring that manual. It correctly repeats the batch price but omits the batch size. The quoted claim agrees with the source, yet the reader cannot recover the promised calculation: 30 / 12 = 2.50 per part. Supplying the batch size repairs that omission. In a second guide the calculation is fully shown as 36 / 12 = 3, but the price 36 is attributed to the same manual. The calculation can be followed; its price claim contradicts the source. These cases distinguish agreement with a source from recovery of a promised contribution. Both questions matter when both defects occur.
EXD.2:6 - Bias-Annotation
Expert familiarity can hide intermediate relations a recipient cannot yet supply. Inspect the needed mapping at the actual task grain. A familiar story may also smuggle in a causal or normative assumption absent from the subject account; retain only the correspondence the explanation can justify.
EXD.2:7 - Conformance Checklist
Recognition asks whether a particular instance or comparison can make the needed connection usable.
For assurance, inspect whether the example has a warranted basis, an explicit correspondence, a correct worked result and an action-changing boundary. Check that any recipient response retains the help available for it. A matching answer with a wrong rule remains a reason to inspect the explanation.
EXD.2:8 - Common Anti-Patterns and How to Avoid Them
| Failure | Repair |
|---|---|
| Using only equal-sized groups to teach why counts matter | Add an unequal-count, unequal-mean case that distinguishes the competing rules. |
| Treating one correct number as evidence of the correct relation | Ask how the quantities correspond and use a discriminating changed case. |
| Asking for free explanation when a required component is unavailable | Supply the missing component or worked correspondence, then inspect the affected use. |
| Extending an analogy through surface resemblance | State the supported relation and the consequential non-correspondence. |
EXD.2:9 - Consequences
The recipient can inspect how the claim applies and where a plausible alternative diverges. The example costs preparation and attention; selective variation controls that burden. A good correspondence may still need different support for another recipient or a more complex subject.
EXD.2:10 - Architectural Rationale
Example construction has a reusable result of its own: an instance and its bounded correspondence. Representation work can express that result; instructional practice can ask the recipient to use it. Keeping those contributions distinct helps the author identify whether a failure lies in the example’s relation, its expression or the available help.
EXD.2:11 - SoTA-Echoing
The 2023 relational-mapping study compared principle–example and example–example mapping in probability topics, including free mapping followed by guided component mapping. Adapt the explicit correspondence and targeted-guidance procedure. Its findings do not make one mapping format universally superior for conceptual or structural learning.
Human Capability Development’s representative-task construction supplies worked reasoning and consequential variation. Fiorella, 2023 further distinguishes the contributions and guidance needs of generated explanations, visualizations and enactments.
At comparable calculation complexity, the unequal-count case distinguishes rules that the equal-count case conceals. Retain both when that distinction matters; reject decorative extra instances that add no needed relation. Reopen the construction when a recipient’s use reveals a different plausible rule, missing component or unsupported analogy.
EXD.2:12 - Relations
EXD.1 selects the target question. EXD.3 coordinates the expression of the worked correspondence. EXD.5 guides a recipient’s product and correction; EXD.6 selects a worthwhile example change or retains a sufficient one.
The instructional profile preserves the HCD task, feedback and assistance returns. The supplied-account entry retains the subject warrant.
EXD.2:End
EXD.3 - Coordinate the Expression of an Explanation
EXD.3:1 - Problem frame
Use this pattern when a warranted account is available but the recipient has difficulty following its relations through the chosen words, symbols, diagram, demonstration or combination. It also helps when preparing an explanation whose several representations must work together.
Begin by selecting the relation the recipient must recover and the contribution each representation should make. Construct the correspondence at the point where the recipient needs it. The first useful result is an explanation in one sufficient form or a coordinated combination, with its conditions and losses visible.
A missing premise or derivation is a content problem. Obtain that contribution before treating the difficulty as a presentation choice.
EXD.3:2 - Problem
More representations can add search and translation work. A formula, table and diagram may use different labels, omit different conditions or require the reader to reconstruct their correspondence unaided. Simplification may also remove the very condition that makes the answer correct.
A useful expression exposes the selected relation while keeping its subject meaning intact. It does not earn its place by being shorter, more visual or more interactive alone.
EXD.3:3 - Forces
| Force | Practical tension |
|---|---|
| Complementary views and translation burden | Another representation can expose a relation while requiring extra cross-reference work. |
| Economy and completeness | Removing words can reduce reading burden or erase a decisive condition. |
| Guidance and usable preparation | Signals and worked transitions may help one recipient and interrupt another’s sufficient reading. |
| Pacing and coherence | A manageable segment needs enough connection to support its inference. |
EXD.3:4 - Solution
EXD.3:4.1 - Select each contribution
Name the current question and the claims its answer requires. FPF C.37 supplies the general representation-selection and co-use question. Apply it here to the explanation: what must the recipient locate, compare, connect or enact?
Choose one sufficient representation when it serves that use. Add a representation only for a contribution that matters, such as seeing count/mean/sum correspondence while using a formula. Identify the claims and conditions each form carries and what it omits.
Separate construction choices. Adding the fact that count multiplied by mean reconstructs a sum changes explanatory content. Laying out that already stated relation in a table changes expression. A prompt or worked step supplied during use changes assistance. Preserve these differences when judging the result.
EXD.3:4.2 - Make the correspondence available where it is used
Use consistent names, units and referents. Put a label beside the quantity or feature it names, or give an unambiguous cross-reference when the medium prevents proximity. Make a line, arrow or spatial arrangement’s meaning explicit when it could denote different relations.
In human instructional use, select signaling, proximity, meaningful segmentation or preparation of a needed concept for the actual difficulty. Signal the next relation rather than highlighting everything. Keep a meaningful inference together within a segment. Let a recipient revisit an earlier step when the medium allows it.
Coordinate simultaneous channels so their contributions can be used together. Words may explain what a diagram’s relation means; duplicating a long text while narration and animation compete for attention may add burden. Select the arrangement under the actual task, recipient and medium conditions, retaining text when it provides needed access or reference.
EXD.3:4.3 - Preserve a usable reading path
Make the current question, selected relation and answer reachable in the chosen form. Expose the condition that changes the answer at the point it becomes consequential. A short answer may point to a fuller derivation; the recipient must know when that return is needed.
Provide usable labels and correspondences through the actual available channel. If color carries a distinction, include another cue that lets a recipient recover it without that color. If a static diagram cannot show a temporal dependence clearly, choose a warranted sequence or accompanying account. Where another modality is unavailable, retain the contribution in a form the recipient can use.
EXD.3:4.4 - Inspect the specific gain and loss
Try the intended inference or comparison under the stated conditions. EXD.6 helps choose a bounded comparison when its result can change which expression is retained.
Keep content, expression and help changes identifiable. A promising arrangement can be retained provisionally on a stated design reason; an observed advantage requires the corresponding evidence. Restore an omitted condition or return to the source when the representation invites a different claim. Stop adding forms when one arrangement is sufficient.
EXD.3:5 - Archetypal Grounding
The account explains the mean across all eight individuals in two groups. Its prose form states:
“Group A has two values with mean three, so its sum is six. Group B has six values with mean eight, so its sum is forty-eight. The group sums add to fifty-four and the counts to eight. Dividing total sum by total count gives 6.75. Averaging the two means instead gives equal influence to the groups and yields 5.5.”
A table candidate arranges those same claims:
| Group | Count | Mean | Sum = count × mean |
|---|---|---|---|
| A | 2 | 3 | 6 |
| B | 6 | 8 | 48 |
| Combined individuals | 2 + 6 = 8 | 54 / 8 = 6.75 | 6 + 48 = 54 |
Add the same boundary sentence beside it: “Averaging the two group means instead gives each group equal influence and yields 5.5.” The column labels expose the correspondence and preserve the distinction between group and individual weighting.
The table is a form candidate for this selected claim set. Removing the boundary sentence would lose a relevant claim. Beginning with only a formula and adding the complete verbal derivation would be a content change as well as a presentation change.
For a recipient who cannot yet use the mean-to-sum relation, point to one group’s count and mean and work that relation. Preserve the initial response separately from the response after help. A successful assisted calculation is not evidence that the original table independently supplied everything the recipient needed.
In a technical account, a box grouping three checks can be mistaken for a statement that they are parts of one Method. Label the box’s actual meaning, such as “available checks,” and state the question each check answers. If the grouping adds no useful relation, a direct list may suffice.
EXD.3:6 - Bias-Annotation
An author may favor a visual or terse form because it fits their own expertise and tools. Check the actual recipient’s access and usable operations. Human multimedia results constrain a human instructional use; shared words such as attention do not establish the same effect in an AI recipient.
EXD.3:7 - Conformance Checklist
Recognition concerns a recoverability or coordination difficulty in expressing an available account.
For assurance, check that each representation has a selected contribution; labels and correspondences support the required inference; decisive conditions remain present; added content or help is identified; and any observed gain is attributed only to the comparison that supports it. A sufficient single form remains a legitimate outcome.
EXD.3:8 - Common Anti-Patterns and How to Avoid Them
| Failure | Repair |
|---|---|
| Adding a diagram without saying what its arrows mean | State the selected relation and align each relevant label and connection. |
| Calling added explanatory grounds a layout improvement | Identify the new claims before comparing the forms. |
| Removing the weighting condition to shorten the mean explanation | Restore the condition at the point where the two answers diverge. |
| Reading an assisted response as success of the original form | Retain the original response and specify the help that changed the conditions. |
| Assuming more media improve the explanation | Keep only contributions that serve the receiving use. |
EXD.3:9 - Consequences
The recipient can locate and connect the needed relations with less avoidable translation work in the designed arrangement. Whether effort actually decreases remains an empirical question for that use. Coordinated forms require maintenance: a changed value or condition must remain consistent wherever it is expressed.
EXD.3:10 - Architectural Rationale
Expression construction specializes general representation selection with explanation-specific correspondence, signaling and pacing choices. The account’s subject warrant remains external to those choices. Examples determine what instance and boundary to show; this pattern determines how their existing claims become usable in the chosen medium.
EXD.3:11 - SoTA-Echoing
Mayer, 2024 supplies human multimedia-design operations including proximity of corresponding words and graphics, signaling, segmentation and preparation of needed concepts. Adapt the operation that addresses the actual instructional difficulty. The principles’ learner, task and presentation conditions remain relevant.
Cromley and Chen, 2025 synthesize 181 studies from 92 articles in Mayer’s 1990–2022 research corpus and examine moderators. Use that evidence to keep choices conditional. It does not establish a universal winner among prose, table, diagram or combined media.
FPF C.37 and ME.22 preserve the general selection and content/form comparison. In the worked case, prose and table carry the same selected relations. The table makes a correspondence spatially explicit; its practical superiority is still a comparison question. Reopen when medium, recipient preparation, access or the relied-on content changes.
EXD.3:12 - Relations
EXD.2 supplies a worked correspondence and boundary. EXD.4 can expose the local expression difficulty during use. EXD.6 compares a candidate with a sufficient incumbent.
FPF C.37 governs representation selection and co-use. C.2.8 characterizes selected structural recovery under explicit conditions. The instructional profile qualifies human learning and assistance uses.
EXD.3:End
EXD.4 - Co-Construct and Repair an Explanation in Dialogue
EXD.4:1 - Problem frame
Use this pattern while explaining with another participant when their contribution can change the question, the account, the help needed or the next useful inference. A teacher, specialist, adviser or assisting agent may offer an explanation; either participant may supply a relevant relation or correction.
Begin with one contribution that answers the current question at a manageable grain. Leave room for the recipient’s next contribution and use it to choose a continuation, repair, source return or close. The first useful result may be a recovered relation, a revised question, a located disagreement or a specific unresolved subject input.
A clear lookup answered sufficiently by a short message can end there. Select a diagnostic exchange when its different possible answers would change the next explanation.
EXD.4:2 - Problem
A sequence of alternating messages can leave the explanation unchanged. The explainer may treat every objection as a lack of knowledge, respond to every acknowledgement as proof of understanding, or repeat a valid account after the recipient changes the question.
Explanatory dialogue needs a constructive link between the recipient’s contribution and the next move. It also needs a stopping point. Keeping someone talking, agreeing or completing exercises is not the purpose of every explanation.
EXD.4:3 - Forces
| Force | Practical tension |
|---|---|
| A coherent contribution and timely correction | Enough connected content is needed for an inference, while a long uninterrupted account can hide the point at which the participants diverge. |
| Feedback and its interpretation | A signal can concern contact, perception, understanding or attitude; interpreting it too strongly can choose the wrong repair. |
| Adaptation and subject warrant | Either participant may correct the account, while an appealing contribution still needs its subject basis. |
| Helpful diagnosis and unnecessary burden | A small question may locate the difficulty; repeated checks can obstruct an already sufficient answer. |
EXD.4:4 - Solution
EXD.4:4.1 - Offer a contribution tied to the current question
Use the available question and qualified subject account. If the target is uncertain, EXD.1 helps identify the consequential distinction. Obtain and Carry the Subject Explanation supplies the subject return.
Offer a claim with the ground, condition or correspondence that makes the next inference possible. Choose the grain from the task and the recipient’s usable preparation. A short derivation can be one contribution; a demonstration may need one meaningful intermediate point. A fixed number of sentences or turns cannot determine that grain.
Make the expression accessible through the participants’ actual channel. A pause, an editable example, a text field or a choice to inspect the underlying account can let the recipient contribute. If the channel cannot support an exchange, prepare a usable explanation with explicit conditions and a return instead.
EXD.4:4.2 - Interpret the recipient’s contribution in context
Attend to what the contribution changes. “I could not hear the number,” “I do not see why you multiplied,” “I want a different average,” and “I understand, but I reject that policy” invite different responses.
Acknowledge the concrete point before extending the account. Use feedback about contact or perception to restore the channel or expression. Use a displayed relation or attempted inference to inspect understanding. Treat a premise challenge as a subject question and a changed intended use as a possible question revision. Agreement or willingness to act has its own meaning in the situation.
If the recipient says that the explanation misrepresents their concern, recover the particular condition or claim they are asking you to address. Use a clear correction directly. When its meaning remains consequentially uncertain, restate what you have understood and invite correction before arguing against it. Acknowledge a point you actually accept and state where the disagreement remains. Qualify genuine uncertainty; adding reassuring words or weakening a warranted claim does not supply this repair. If the exchange itself has become the obstacle, a different time, channel or a pause may be the useful next move. Continuing to explain requires a current explanatory purpose.
Several interpretations can remain plausible. In that case, ask one small diagnostic whose alternatives lead to different repairs. “Which quantity should receive equal influence here?” distinguishes a changed weighting target. “What sum does this group mean represent?” distinguishes a missing mean-to-sum relation. The diagnosis remains provisional until the contribution supports it.
EXD.4:4.3 - Change the part that prevents the next useful move
Choose the repair from the located difficulty.
| What the exchange has revealed | Construct the next contribution |
|---|---|
| A relevant term, label or signal was inaccessible | Make that same contribution accessible and check the affected point if necessary. |
| A relation is absent or cannot be followed | Supply its missing ground or intermediate correspondence, or express the same claims in a usable arrangement. Say enough to preserve the condition that matters. |
| The recipient uses a wrong relation under the same question | Show the specific mismatch, give targeted support and invite the affected inference again when the use warrants it. |
| A condition or the intended question changed | State the revised question and answer it using its own subject basis. Retain the earlier answer at its original scope. |
| A subject claim is disputed or unsupported | Inspect the relevant source or identify what the supplying practice still needs to establish. Qualify or withdraw the unsupported claim. |
| The recipient understands the grounds but disagrees with the choice | Return the preference, trade-off or decision to its owner. |
When assistance is added, preserve what was available before and after it if the later judgement depends on that distinction. Supplying a step and hearing it repeated can establish a supported response in that exchange; it does not establish later independent use.
Either participant may provide a useful repair. Check a correction against the subject basis and incorporate it when warranted. Explainer and recipient are positions in this exchange, not fixed allocations of knowledge.
EXD.4:4.4 - Close with the result the exchange supports
Name what can now be used: a distinction, a correctly qualified result, a source return or an unresolved conditional choice. Use one relevant inference or next action as a check when it can still change that conclusion.
A sufficient explanation can close without agreement or recall practice. If the recipient’s goal is learning, the instructional use may additionally require supported practice or a later independent case. Select that work from its purpose and available evidence.
When the exchange must stop with a gap, keep the supported part and state the missing input. “Both calculations are available; the report still needs a decision about which unit receives equal weight” is an actionable ending.
EXD.4:5 - Archetypal Grounding
The following constructed exchange uses two groups. A contains 2 and 4, with mean 3; B contains six values of 8, with mean 8. The initial task asks for the mean across all eight individuals.
| Contribution | What it changes or establishes |
|---|---|
| Recipient: “Why is my average of 3 and 8 wrong?” | The live question concerns the difference between averaging two means and averaging all individuals. |
| Explainer: “For the average across all eight people, reconstruct the totals: 2 × 3 = 6 and 6 × 8 = 48. Then 54 / 8 = 6.75. Averaging the two means gives each group half the influence.” | Supplies the mathematical connection and the condition under which the stated answer applies. |
| Recipient: “But for my branch report I want each branch to count equally, regardless of its number of people.” | Introduces a purpose and weighting rule that differ from the initial task. |
| Explainer: “Then the mean of the branch means is (3 + 8) / 2 = 5.5. Label it as giving each branch equal weight. The 6.75 figure is the mean across individuals.” | Answers the revised question and retains the earlier result with its own condition. |
| Recipient: “I will label 5.5 as the equally weighted branch-mean summary.” | Displays a usable distinction for the stated report. It does not settle whether that policy is best for the management decision. |
The repair changes the target and its answer. A longer version of the pooled-mean proof would still answer the initial question.
Compare a different recipient contribution: “I still need the average across individuals, but I do not see why multiplying the count by the mean gives the total.” The weighting target is stable. Show that six values with mean eight have total 48, using the definition of a mean as sum divided by count. If a supported retry is useful, ask for the total of four values with mean five. The answer 20 demonstrates that response under the available help; subsequent independent use requires its own observation.
In advisory use, a recipient may say, “I understand why the assignment fits my present strengths. I prefer the course because I value its social setting.” Close the explanatory distinction and return the preference to the advising decision. Asking the recipient to reproduce the recommendation would add no useful explanatory result.
EXD.4:5.1 - Recover the concern before adding another explanation
An engineer explains that a proposed service reduces response time from eight minutes to five. A colleague replies: “You keep treating my objection as resistance to speed. I need somebody available throughout the night.” The comparison of response times does not answer that staffing concern.
Use the colleague’s stated correction: “You need continuous coverage; the five-minute figure applies only while an operator is present.” The explanation now exposes its condition. If coverage remains the question, return it to staffing and resource work; another account of the speed calculation will not supply an operator. If the colleague instead asks why the time falls to five minutes, provide that derivation under its stated conditions. The two continuations answer different contributions. Neither establishes agreement to deploy the service.
EXD.4:6 - Bias-Annotation
A helpful tone or frequent acknowledgements can make an exchange feel successful while a consequential relation remains unrecovered. Conversely, an objection can reveal understanding and a legitimate alternative. Interpret each signal with its content and task.
An explainer may also protect their prepared account from revision. Make room for a correction from either participant, while preserving the subject check that distinguishes a warranted correction from a fluent assertion.
EXD.4:7 - Conformance Checklist
Recognition concerns an exchange in which the next contribution can change the explanation’s usefulness. A message count or a conversational interface alone does not establish that situation.
For assurance of the performed explanatory result, inspect the contribution and response that matter:
- the offered account answers an identifiable current question;
- feedback is interpreted at the level its content supports;
- a consequential ambiguity receives a discriminating question or remains explicitly unresolved;
- the next move addresses the located difficulty or revised question;
- added help and independent response remain distinguishable when later reliance uses that difference;
- closure preserves the warranted result, its conditions and any actionable return.
These criteria support a bounded reading of the exchange. A learning or transfer claim requires evidence beyond a fluent closing message.
EXD.4:8 - Common Anti-Patterns and How to Avoid Them
| Failure visible in the exchange | Repair |
|---|---|
| Rephrasing the same derivation after the recipient changes the intended statistic | Confirm the changed weighting rule and supply its corresponding result. |
| Treating “yes” as proof of a needed inference | Use the concrete response already available, or ask one relevant inference when the distinction matters. |
| Correcting a recipient who understands the account but rejects its policy | Recover the decision or preference disagreement and return it to the appropriate work. |
| Responding to an unsupported AI explanation by making it more fluent | Return to source-qualified facts or mechanisms and qualify the missing basis. |
| Continuing until the recipient agrees | Close the supported explanatory result and distinguish agreement from that result. |
EXD.4:9 - Consequences
The explanation can change while the difficulty is still local to a contribution. The participants can revise the target, preserve a useful earlier account and stop with a result whose limits they can name.
Dialogue demands attention and access to the relevant subject basis. It can expose a disagreement without resolving it. Those outcomes are useful when they identify the next needed work, but they do not support an unconditional claim of improved understanding.
EXD.4:10 - Architectural Rationale
The governing relation is between a contribution, the recipient’s response and the next useful move. A prescribed lecture-then-questions sequence cannot represent every consequential exchange. Prepared accounts and examples remain useful contributions within that flexible organization.
Question formation remains separately accessible because it is also useful before an exchange. Subject inquiry remains separately responsible for warrants. Keeping those returns explicit lets dialogue change the right question, claim or assistance without taking over the entire instructional or advising practice.
EXD.4:11 - SoTA-Echoing
The current Social Explainable AI chapters on Practices, §5.3, Incremental Communication, §§12.3.1–12.3.3 and Adaptation, §§13.2–13.3 connect explaining to situated, jointly adjustable contributions. Adapt that line into the contribution–diagnosis–repair decisions above, keeping learning claims at their studied scope.
Fisher et al., 2022 analyzed eleven natural consultations in which phases alternated and both sides contributed to organization. Use that as a bounded counterexample to a necessary fixed phase order. It does not select one universal conversational schedule.
Axelsson, Buschmeier and Skantze, 2022, §2 distinguish feedback concerning contact, perception, understanding and attitude. Adopt that distinction to avoid choosing a repair from an acknowledgement alone; a signal’s interpretation remains contextual.
Fichtel et al., 2025, §§5–6 found that enhanced prompting elicited more co-constructive behavior in a bounded Llama 3.1 70B study without a significant mean objective-understanding advantage. Keep that limit when designing human–AI explanatory interaction. More interaction is not an effectiveness measure.
For repairing a misrepresented concern, adapt the explicit acknowledgement and engagement examined by Yeomans et al., 2020, Study 4 and §6.2. Their written-message study concerns perceived receptiveness, persuasiveness and intentions to collaborate; it does not establish subject correctness, understanding or actual later cooperation. The contribution used here is making the addressed concern inspectable before adding a rebuttal. Against applying a linguistic recipe, keep actual agreement and uncertainty truthful and retain the subject criterion. A polite response can still answer the wrong question. Reopen this repair when the response shows that the concern remains misrepresented or the exchange no longer serves an explanatory purpose.
At the same local opportunity to respond, repeating the pooled-mean derivation answers the old question. Using the recipient’s explicit change of weighting rule supplies the requested branch-mean answer and preserves the earlier result under its original condition. This comparison explains the proposed move in the worked case. Reopen it when actual recurring interactions expose a different diagnostic or repair need.
EXD.4:12 - Relations
EXD.1 supplies and revises the question. The supplied-account entry provides the subject basis and its return.
FPF C.2.8 qualifies structural recovery at an identifiable point in the exchange by the account, expression, observer and conditions. Changes after help receive their changed conditions. Human capability development supplies task-specific assistance, feedback tied to the task criterion and retry when the receiving purpose is instructional.
EXD.4:End
EXD.5 - Guide a Recipient’s Own Explanation
EXD.5:1 - Problem frame
Use this pattern when an instructional purpose requires the recipient to construct and use an explanation: connect a worked step to a principle, explain an error, map a diagram or show how an operation follows. The learner’s own verbal, visual or enacted product can reveal a relation that passive acknowledgement leaves unknown.
Begin with the relation the learner should make explicit and the product that would display it. Give a focused prompt with assistance appropriate to the task. The first useful result is the learner’s product, any supported correction and the assistance still needed.
A recipient who only needs an available fact or the grounds for advice may need no learning exercise. Select generation because its result can serve the receiving purpose.
EXD.5:2 - Problem
“Explain it in your own words” can invite paraphrase without the needed relation. A learner may generate a plausible but wrong account, copy a worked answer or fail because a prerequisite was never available. Supplying a correction and asking for repetition can then conceal how much help produced the result.
Useful guided generation specifies what the product should expose, preserves the first response and connects feedback to an affected retry.
EXD.5:3 - Forces
| Force | Practical tension |
|---|---|
| Productive effort and unavailable knowledge | Constructing a relation can support learning; demanding it without the required basis can produce confusion. |
| Diagnostic visibility and assistance | An unassisted attempt reveals a starting point, while timely guidance may be needed to make progress. |
| Focus and expressive freedom | A precise prompt exposes the target relation without requiring one author’s exact wording. |
| Immediate correction and later use | A corrected answer can be useful now while independent retention or transfer remains untested. |
EXD.5:4 - Solution
EXD.5:4.1 - Select the target and the product
Recover the learning purpose, current question and warranted subject relation. Choose a product that makes that relation inspectable: a short explanation of one step, labels and arrows with stated meanings, a worked correspondence or an enactment with an explanation of what each action represents.
State a criterion for the relation, not a preferred phrase. For the pooled mean, the product should show what the denominator counts and how each group’s sum is recovered. Fluency, length or agreement with the teacher cannot replace that criterion.
Use EXD.2 when the instance and contrast need construction. Keep legitimate tools available when the intended performance allows them.
EXD.5:4.2 - Give a focused prompt and preserve the first response
Select assistance from the learner’s usable knowledge of this task. A worked model, partial representation, cue or small open prompt can each be appropriate. If an initial unassisted response can change the diagnosis or help, obtain and retain it before giving the solution.
Ask for the relation that matters: “What does your denominator count, and what should it count for this question?” is more diagnostic than “Explain the answer.” Let the learner express a correct relation in their own suitable form.
Where the learner lacks a necessary component, supply that component and make the assistance visible. An unproductive unsupported attempt is not required before every explanation. Human Capability Development’s task and assistance methods supply the broader decision about support and progression.
EXD.5:4.3 - Locate the error and support its correction
Compare the product with the selected criterion. Distinguish a wrong relation, an absent prerequisite, an expression difficulty and a changed question. A learner using the mean of branch means may be correct after the question changes to equal branch influence; EXD.1 and EXD.4 handle that return.
For an error under a fixed question, guide the learner to identify the wrong relation, explain why it fails here, construct the corrected relation and describe its use. Provide the missing ground or component when needed. Tie the feedback to the task criterion: “Your denominator counts two groups, while this question counts eight individuals” identifies the discrepancy.
Preserve the initial product and what was supplied in correction. A supported explanation is a result under those conditions.
EXD.5:4.4 - Ask for the affected use again
Choose a retry that can reveal whether the corrected relation is usable at the intended grain. Change values or a consequential condition while avoiding irrelevant difficulty. Specify what help remains available. The next response can support a more limited or a stronger conclusion depending on those conditions.
If the error persists, revise the diagnosis or assistance rather than simply repeating the same prompt. If the learner now uses the relation adequately, stop the immediate correction. Select later retrieval, practice, fading or transfer work only when the learning purpose requires it, using the relevant HCD methods and evidence.
EXD.5:5 - Archetypal Grounding
The fixed task asks for the mean across all individuals. Group A has two values with mean 3; group B has six values with mean 8. The learner’s first product is “(3 + 8) / 2 = 5.5, because there are two averages.”