Teach the accounting method, then ask why it works

A student can calculate break-even sales perfectly when the question follows the format used in class. Change one consequential feature, such as imposing a capacity or demand limit below the calculated break-even volume or adding a second product, and the original calculation may no longer answer the question by itself.

This does not necessarily mean the original teaching failed. Routine proficiency matters, and students need enough technical knowledge to recognise and perform established procedures. But the contrast raises a curriculum question: are we teaching students only to reproduce a method, or also preparing them to decide how their knowledge should be used when the next problem looks different?

A 2018 paper in Medical Teacher approaches this question through the idea of adaptive expertise. The authors describe this as a combination of efficient performance in routine situations and the capacity to learn and respond when a situation is unfamiliar, uncertain or complex. Domain knowledge remains central. Adaptability is not presented as a generic problem-solving skill that can substitute for technical knowledge.

The paper offers 12 curriculum-design tips rather than reporting a new study. It draws on selected research from medicine, dentistry, mathematics, statistics and the learning sciences, without describing a systematic search or appraisal. It includes no accounting learners, courses or assessments. For this article, the cited studies were not independently checked, and no later research or accounting education literature was reviewed. Its value for accounting education is therefore as a framework for reviewing teaching and generating ideas for local testing, not as proof that these approaches improve accounting learning.

Put the reason beside the procedure

The paper distinguishes procedural knowledge, knowing what to do, from conceptual knowledge, understanding why an approach works. Its argument is not that educators should choose between them. Students need both if they are to perform familiar work efficiently and make sense of unfamiliar problems.

Consider a management accounting class in which students learn that a product selling for $50 with a variable cost of $30 provides a unit contribution margin of $20. Assume that the unit selling price and variable cost remain constant within the relevant range, $120,000 represents total operating fixed costs for the period, the units used in the calculation are sold, and sufficient capacity and demand exist. The operating break-even calculation is:

$120,000 ÷ $20 = 6,000 units

A student may reproduce the calculation without understanding its structure. An explicit explanation connects the steps: each unit contributes $20 after variable costs towards fixed costs, so 6,000 units provide total contribution of $120,000. Under the stated assumptions, contribution then covers fixed costs and operating profit is zero.

That explanation may seem obvious to the lecturer, but proximity is not the same as connection. Presenting the formula and the relevant concepts on adjacent slides does not ensure that students have linked them. The paper recommends making explanatory connections explicit and using “why” questions to direct attention towards them.

For the break-even example, a lecturer might ask:

• Why is fixed cost divided by contribution margin rather than selling price?
• Why does the calculation identify zero operating profit?
• Which assumptions make a single break-even volume meaningful?
• Why might the original method become inadequate if the company sells several products?

These are proposed accounting applications of the paper’s broader design principle. Their effectiveness would need to be evaluated in the accounting setting. Even so, they provide a practical check on a common teaching sequence: after showing students how to complete a calculation, have we also made its logic visible?

Vary what matters, not merely the numbers

Exercises that change only the amounts provide repeated practice, but the paper argues that this is not the same as meaningful variation.

The paper calls for meaningful variation. Instead of accumulating examples that differ only on the surface, learners examine changes that reveal something important about the underlying concept. They may compare cases, explain which differences matter or develop an account that accommodates all the variations.

An accounting lecturer could keep the original break-even case and then introduce a sequence of “what if” questions:

• What if the selling price changes but variable cost does not?
• What if existing capacity is 5,000 units, but an additional $30,000 of fixed cost increases capacity to 8,000 units?
• What if demand is limited to 5,000 units?
• What if the business sells two products with different contribution margins?

These variations have different accounting consequences.

A change in selling price alters unit contribution margin if variable cost remains constant.

The capacity change requires analysis at different activity ranges. In this example, the original 6,000-unit break-even volume exceeds the initial capacity of 5,000 units. Expanding capacity raises fixed costs to $150,000, producing a revised break-even volume of 7,500 units. That result must then be checked against the expanded capacity of 8,000 units and the assumption of sufficient demand. More generally, a revised break-even result is meaningful only if it falls within the activity range for which the fixed-cost level and capacity apply.

A demand limit of 5,000 units does not change the original contribution margin or fixed costs, but it makes the 6,000-unit break-even sales volume unattainable under those facts.

For two products, the lecturer would need to specify an assumed sales mix or another unit of analysis. With a constant sales mix, the calculation could use a sales bundle or weighted-average contribution margin. Without a specified mix, there is no unique total break-even unit volume.

The aim is not to make every question progressively harder. It is to help students distinguish a change that can be handled within the existing model from one that challenges an assumption, affects whether the result is attainable or requires additional analysis.

This approach also applies beyond calculations. In audit teaching, cases can vary the source, relevance or reliability of evidence while holding the audit objective constant. In financial accounting, a case can change one economically consequential fact and ask students whether the analysis should change, using the technical framework and effective date specified in the course. The lecturer must choose variations carefully so that the intended concept remains visible and the technical position is fully supported.

Simply adding more cases is not enough. Students need to explain the implications of the variation. A useful question is not only “What is your revised answer?” but also “Which changed fact affected your reasoning, and why?”

Struggle needs a boundary and an endpoint

The paper also recommends giving learners an opportunity to attempt a difficult problem before receiving direct instruction or feedback. The proposed mechanism is that an initial attempt can activate prior knowledge, expose gaps and prepare students to understand the subsequent explanation.

This is not an argument for leaving novices to discover accounting principles unaided. The authors explicitly recognise that struggle can reinforce misconceptions or become a failed learning opportunity. They pair it with prompt instruction or feedback that identifies important features, corrects errors and connects students’ attempts to an established approach.

In an accounting class, a bounded attempt might last five minutes rather than an entire session. Students could receive the original break-even case with one unfamiliar constraint and be asked to sketch an approach in pairs. The lecturer would then compare the proposed approaches, identify where the familiar model still applies and explain what must change.

The boundaries matter. Students should know what they are trying to determine, have enough prior knowledge to make a meaningful attempt and receive correction before an incorrect model becomes entrenched. For novices encountering a foundational procedure for the first time, clear modelling and guided practice may be more appropriate than an open problem. The difficulty can increase as knowledge develops.

The quality of the follow-up matters just as much as the initial challenge. Asking students to struggle and then displaying the answer misses much of the point. Feedback should address the reasoning students attempted, including why an attractive approach did or did not work.

Assess the capability you intend to develop

If teaching asks students to explain, compare and adapt, but assessment rewards only exact reproduction of familiar exercises, students receive a conflicting message about what matters.

The paper uses the term preparation for future learning for the capacity to learn new information, use resources and solve a novel problem. One way to examine this capability is to provide information during an assessment and ask students to use it, rather than expecting every relevant detail to have been memorised beforehand.

For example, students could first complete a conventional contribution-margin calculation. A second task could describe two products competing for machine hours as the sole limiting factor, provide each product’s unit contribution and machine-hour requirement, then ask students to calculate and compare contribution per machine hour and rank the products. Marks could distinguish among:

• accurate use of established technical knowledge;
• identification of the new information that matters;
• appropriate application of that information;
• explanation of why the conclusion changes or remains the same.

Such a task should not automatically be called a measure of adaptive expertise. Performance may reflect reading demands, prior knowledge, task ambiguity or general difficulty. It is better treated as one source of evidence within a broader assessment design.

This distinction is especially important when evaluating a teaching pilot. Immediate performance and later learning may not move together. A more demanding activity may reduce fluency during the class without producing any later benefit. Equally, smooth performance on familiar questions does not show that students can use their knowledge in a new setting. To judge the design, lecturers need both routine and carefully bounded unfamiliar tasks, administered at suitable points in the course.

Start with one concept and one consequential change

The paper’s most useful contribution may be a set of questions for curriculum review rather than a prescription for wholesale redesign:

• Where do students learn both the procedure and the reason it works?
• Do case variations expose an underlying relationship or merely change the numbers?
• When students attempt unfamiliar problems, is the struggle bounded and followed by timely guidance?
• Do assessments reveal only reproduction, or also students’ use of new information?

A manageable pilot could focus on one topic with a clear routine method. Add an explicit “why” question, one case variation that changes a consequential feature and a short follow-up task after feedback. Compare students’ performance on the routine procedure with their explanations and responses to the variation.

That local evidence will not settle whether a programme develops adaptive expertise. It can, however, provide limited evidence about how students explain the practised steps and respond when one important feature changes, subject to other influences on task performance. For accounting educators, that is a useful place to begin: retain the method, teach its logic and then change one thing that matters.