Abstract

Scaffolding is the graduated, temporary support a more capable partner supplies while a learner works on a task just beyond independent reach. Wood, Bruner and Ross coined the metaphor in 1976 to describe how a tutor controls the parts of a problem a child cannot yet manage, ceding that control as competence grows. Three features define genuine scaffolding: it is contingent, calibrated moment to moment to the learner's response; it fades as the learner takes over; and it transfers responsibility for the task from tutor to learner. The construct operationalises Vygotsky's zone of proximal development and now spans one-to-one tutoring, teacher-designed classroom supports, and computer-based tools. This article states the concept, distinguishes its forms, works a contingent example, and reviews the meta-analytic evidence for its effects.

Keywords: scaffolding, contingency, fading, transfer of responsibility, zone of proximal development

Scaffolding is among the most widely used and most loosely used ideas in the psychology of instruction. In its strict sense it names a specific interactional structure: a tutor takes on the elements of a task a learner cannot yet do, supports the learner through the elements they can, and withdraws that support step by step as the learner becomes able to carry the whole task alone (Wood et al., 1976). The image is deliberately architectural, a temporary frame that holds a structure while it is being built and is removed once it can stand on its own. What makes the metaphor more than decoration is that the support is not fixed help but help that continually adjusts to the learner and is engineered to disappear.

The concept sits directly downstream of Vygotsky's zone of proximal development, the band of tasks a learner cannot manage alone but can manage with assistance (Vygotsky, 1978). Scaffolding is, in effect, the account of what the assistance should look like that Vygotsky's construct left open, and the two ideas have travelled together into developmental and educational psychology ever since. The remainder of this article separates the strict construct from the slogan it has become, sets out the three features that distinguish real scaffolding from generic help, extends the idea from live tutoring to designed classroom and software supports, and asks what the empirical record actually shows.

Key Takeaways
  • Scaffolding is graduated support given within the zone of proximal development, not any help that raises momentary performance.
  • Three features distinguish it: contingency (support tuned to the learner's current response), fading (support withdrawn as competence grows), and transfer of responsibility (the learner ends up owning the task).
  • Wood, Bruner and Ross introduced the term in 1976; Vygotsky, whose zone of proximal development it operationalises, never used the word.
  • The idea now covers designed, or hard, supports built into curricula and software as well as the live, soft support of a responsive tutor.
  • Meta-analyses find scaffolding reliably improves achievement, with effects that depend on how well support is made contingent and eventually removed.

## What Scaffolding Is

The strict definition comes from the study that named the phenomenon. Observing mothers and tutors helping three-, four- and five-year-olds build a three-dimensional pyramid from interlocking blocks, Wood, Bruner and Ross described it as a process that enables a novice to solve a problem, carry out a task, or achieve a goal that would be beyond unassisted effort (Wood et al., 1976). The tutor does not simply model the solution or leave the child to struggle; the tutor controls those components of the task initially beyond the learner's capacity, freeing the learner to concentrate on and complete the components within reach. As the learner's competence rises, the tutor relinquishes control, so the distribution of labour is continuously renegotiated over the course of the interaction.

This definition draws a line that the popular use of the word routinely erases. Scaffolding is not a synonym for support, structure, or help in general. A worksheet, a hint, or a teacher's explanation becomes scaffolding only if it is adjusted to the individual learner's evolving performance and is designed to be removed; support that stays constant, or that props up a task the learner is nowhere near owning, may aid a momentary answer but is not scaffolding in the technical sense (van de Pol et al., 2010). Holding the line matters because the construct's explanatory value lies precisely in the dynamics the loose usage discards.

## Origins in the Zone of Proximal Development

Scaffolding was conceived as the interactional realisation of Vygotsky's sociocultural theory. Vygotsky had argued that instruction is effective when it targets the zone of proximal development, the distance between what a learner can do independently and what the same learner can do with guidance from an adult or more capable peer (Vygotsky, 1978). The zone identifies where teaching should aim but says little about how to teach there. Scaffolding supplies that missing account: it is the description of the assistance that operates within the zone, converting a diagnostic construct into a prescription for action.

The relationship is close enough that the two are frequently conflated, but the fit is imperfect and the history is worth stating plainly. Vygotsky, who died in 1934, never wrote the word scaffolding; the metaphor was introduced four decades later by Wood, Bruner and Ross, working in the tutoring tradition rather than from Vygotsky's texts directly (Wood et al., 1976). Chaiklin (2003) argues that much educational writing has stretched the zone into a loose label for any adult help, losing its specific tie to functions on the verge of maturation, and that scaffolding has drifted with it. Stone (1998) presses a sharper worry: the building metaphor may mislead by casting the learner as a passive structure being assembled, when the defining feature of the original account is a mutual, intersubjective negotiation in which the learner's contributions continuously reshape the support. The demonstration below shows why the aim has to fall inside the zone for scaffolding to do any work at all.

Interact

Scaffolding Works Only Within the Zone

Set the difficulty of the task. The learner shown here manages up to level 4 without help and up to level 8 with a tutor. Move the marker and see why support does real work only when the task falls inside the zone between those two levels.

alonethe zoneout of reachtask 6
Task difficulty6 / 10
within the zone The task is beyond independent reach but within the assisted ceiling. This is where scaffolding does its work: contingent, fading support can carry the learner to success and leave competence behind.
For a learner who solves tasks up to level 4 alone and up to level 8 with help, scaffolding is effective only for tasks in the 4-to-8 band. Illustrative of the zone of proximal development (Vygotsky, 1978); nothing is stored.

## The Three Defining Features

Synthesising a decade of empirical studies, van de Pol, Volman and Beishuizen (2010) identified three features that jointly distinguish scaffolding from other support, and these have become the field's working criteria. The first is contingency: the support is calibrated to the learner's current level, so the tutor first diagnoses where the learner is and then pitches help just above it, adjusting after every response. The original tutoring studies formalised this as a contingent shift rule — when the learner succeeds after a given intervention, the tutor offers less help on the next step; when the learner fails, the tutor offers more (Wood et al., 1976). Contingency is what makes scaffolding responsive rather than scripted, and it is the feature most often missing when the label is applied to fixed materials.

Interact

The Contingent Shift Rule

Tell the tutor whether the child succeeded or failed at the current step. Support is measured on five levels, higher meaning more control. Watch the level rise on failure and fade on success, and note that the whole trajectory is built from the child's responses, never planned in advance.

12345turn
Level 3: the tutor points to the materials. Peak support so far was level 3; support has not yet begun to fade.

Try the worked example: fail, fail, success, success, success from the start, giving levels 3, 4, 5, 4, 3.

The tutor's support level, plotted turn by turn, is generated from the learner's outcomes: less help after a success, more after a failure. Reproduces the five-level scale of Wood, Bruner and Ross (1976). Illustrative, not a data record; nothing is stored.

The second feature is fading: the support is gradually withdrawn as the learner's competence grows, rather than sustained at a constant level. The third is transfer of responsibility: control of the task passes from tutor to learner, so that the learner, by the end, performs independently what could at first be done only with help. Fading and transfer are two sides of one process — as the tutor's contribution shrinks, the learner's grows to fill it — and together they are what distinguish scaffolding from ordinary assistance, which may raise performance while the help is present but leaves nothing behind once it is removed (van de Pol et al., 2010). The demonstration below traces this handover across a session.

Interact

Fading and the Transfer of Responsibility

Drag the session forward. The stacked bar shows how control of the task is divided at each moment between the tutor and the learner. Genuine scaffolding is defined by this handover: the gold support shrinks, the navy responsibility grows, and by the end the learner carries the task alone.

tutor support 70%learner 30%session progress 30%
Session progress30%
tutor-led Tutor support stands at 70% and learner responsibility at 30%. As the session advances the support fades and responsibility transfers to the learner.
As a scaffolded session proceeds, the tutor's contribution is withdrawn and the learner's responsibility grows to replace it; the two always sum to the whole task. Schematic of the fading described by van de Pol, Volman and Beishuizen (2010); nothing is stored.

Table 1 sets the three features side by side, with the failure mode that appears when each is absent, since it is usually the absence of one of these, not of help as such, that separates nominal scaffolding from the real thing.

Table 1. The three defining features of scaffolding and the failure mode when each is missing.
Feature What it requires Failure mode when absent
Contingency Support diagnosed from and tuned to the learner's current response, adjusted after each attempt. Fixed, one-size help that ignores where the learner actually is.
Fading Support progressively withdrawn as competence grows. Permanent support the learner never has to work without.
Transfer of responsibility Control of the task passing from tutor to learner, who ends up performing independently. A momentary answer produced, but nothing the learner retains once help is removed.

## Designed Scaffolding: From Tutors to Tools

The original studies concerned a single adult responding to a single child, the case where contingency is most naturally achieved. Much learning, however, happens in classrooms of thirty or at a screen, where a live tutor cannot adjust to each learner turn by turn, and a substantial literature asks how the idea transfers to those settings. A common distinction is between soft scaffolding, the dynamic, improvised support a responsive teacher supplies in the moment, and hard or designed scaffolding, the support built in advance into a task, a curriculum, or a piece of software (Puntambekar & Hübscher, 2005). Designed scaffolds — prompts, expert models, checklists, structured problem representations — can reach many learners at once, at the cost of the fine-grained contingency a human tutor provides.

The intellectual roots of designed scaffolding lie partly in the cognitive-apprenticeship model of Collins, Brown and Newman (1989), which proposed making expert thinking visible through modelling, coaching and progressively faded support so that learners could acquire the tacit strategies of a domain. Reiser (2004) refined the software case by identifying two complementary mechanisms designed tools use: structuring, which simplifies a task by organising it and reducing its degrees of freedom, and problematizing, which deliberately makes salient the difficult aspects a learner might otherwise skip, so that support sometimes adds productive difficulty rather than only removing it. Pea (2004) cautioned that stretching scaffolding to cover any helpful tool risks dissolving the concept, since a genuine scaffold must in principle fade, whereas many software supports are permanent features of the environment. Puntambekar and Hübscher (2005) note that in moving from tutor to tool, fading and ongoing diagnosis — the very features that defined the original construct — are the ones most often quietly dropped.

## Worked Example

Consider a tutor helping a child assemble a construction toy, using the five-level intervention scale from the original tutoring studies, where higher levels supply more control: level 1 is general verbal encouragement, level 2 a specific verbal hint, level 3 pointing to the relevant materials, level 4 preparing materials for assembly, and level 5 demonstrating the step outright (Wood et al., 1976). The tutor applies the contingent shift rule: after the child fails, move one level up (more help); after the child succeeds, move one level down (less help).

Suppose the tutor begins at level 3 and the child's outcomes on successive attempts are fail, fail, success, success, success. The intervention level applied moves 3 → 4 → 5 → 4 → 3, and the rule's next planned level is 2. The support therefore climbs from an initial 3 to a peak of 5 as the two early failures pull in more help, then fades three full levels, from 5 back toward 2, as the child's three successes let the tutor withdraw. The child ends the sequence receiving less help than at the start, on the same task — a compact instance of fading and transfer of responsibility working together. The point is that the trajectory is not planned in advance: it is generated turn by turn from the child's performance, which is exactly what contingency means (Figure 1). The interactive contingency demonstration above reproduces this rule for any sequence of outcomes.

Figure 1

The Support Trajectory Generated by the Contingent Shift Rule

Tutor support level plotted across six turns A line chart of intervention level, one to five, against turn. Beginning at level three, two failures raise support to a peak of five, then three successes fade it back down to a planned level two. support level turn 1 2 3 4 5 start fail fail success success planned
Note. The applied support levels (3, 4, 5, 4, 3) and the next planned level (2, open circle) for the worked-example sequence of outcomes, following the contingent shift rule of Wood, Bruner and Ross (1976). Two early failures raise support to its peak; three successes fade it away. Original schematic.

## The Evidence Base

Scaffolding's popularity has outrun its evidence at times, but the quantitative record is now substantial and broadly favourable. A meta-analysis of computer-based scaffolding in STEM education by Belland, Walker, Kim and Lefler (2017) synthesised results across many studies and found a positive overall effect on cognitive outcomes, of roughly medium size, that held across education levels and was not much moderated by the specific scaffolding characteristics tested — an encouraging sign of robustness. Using a Bayesian network meta-analysis of the same broad literature in the context of problem-based learning, Kim, Belland and Walker (2018) likewise found reliable benefits and were able to compare scaffolding logics against one another rather than only against no-scaffold controls.

The effect generalises beyond the laboratory and beyond one medium. Cai and colleagues (2022) meta-analysed scaffolding in digital game-based learning and again found a reliable positive effect on achievement, while identifying moderators — the type of support and the learner's age among them — that condition its size. Classroom studies add an important qualification about mechanism: van de Pol, Volman, Oort and Beishuizen (2015) found that it was the contingency of teacher support, together with sustained independent working time, rather than the sheer amount of support, that predicted student achievement — direct evidence that the defining feature, not merely the presence of help, is what carries the effect. The recurring lesson across these syntheses is that scaffolding works to the degree that it is genuinely contingent and genuinely faded, which is also where implementations most often fall short.

Discussion

The trajectory of the concept is instructive. A precise construct, defined by contingency, fading and transfer of responsibility in one-to-one tutoring, was found so useful that it was extended to classrooms, curricula and software, and in the extension its defining features were repeatedly at risk of being lost. Pea (2004) and Puntambekar and Hübscher (2005) both make the same structural point: a support that never fades and never diagnoses is not, on the original definition, a scaffold at all, however helpful it may be, and calling it one blurs a distinction the field needs. Stone's (1998) warning that the building metaphor understates the learner's active, negotiating role is a related caution against taking the image too literally.

None of this is an argument against the construct; it is an argument for using it in its strict sense. The empirical payoff is real — contingency predicts achievement where undifferentiated help does not (van de Pol et al., 2015) — precisely because the strict definition picks out the interactional dynamics that matter. Read carefully, scaffolding remains one of the most productive bridges between Vygotsky's theory and the design of instruction; read loosely, it becomes a comfortable word for teaching in general, and Chaiklin's (2003) critique of the parallel dilution of the zone of proximal development applies to it with equal force.

## Current Directions

Recent work is pushing on the two hardest problems: measuring contingency well enough to study it, and scaling contingent support beyond the individual tutor. On the first, van de Pol, Mercer and Volman (2019) moved beyond whether teachers scaffold to whether students actually take up the support, tracing how a teacher's contingent help shows up in students' subsequent small-group interaction — a shift from documenting the tutor's behaviour to measuring its uptake in the learner, which is where transfer of responsibility either happens or does not. On the second, Puntambekar (2022) develops the idea of distributed scaffolding, in which support is spread across multiple agents and tools in a classroom — the teacher, peers, software, and physical materials acting together — rather than located in any single tutor, an account better matched to how real classrooms are structured than the dyadic original.

The computational literature continues to consolidate. The meta-analyses of computer-based and game-based scaffolding (Belland et al., 2017; Cai et al., 2022) are increasingly used not to ask whether such scaffolding works but to map the conditions under which it works best, and adaptive learning systems that adjust support to a learner's responses are an attempt to restore, in software, the contingency the move from tutor to tool tends to sacrifice. Across these fronts the through-line is the recovery of the original construct's demands — diagnosis, contingency, fading — in settings the founders never studied, and the open question is how faithfully those demands can be met at scale.

Common Misconceptions

Scaffolding is just another word for helping a student.
It is not. Help counts as scaffolding only if it is contingent on the learner's current performance and designed to fade as competence grows (van de Pol et al., 2010). Constant support, or support for a task the learner is far from owning, may raise a momentary answer but lacks the dynamics that define the construct.
Vygotsky coined the term scaffolding.
He did not. Wood, Bruner and Ross (1976) introduced the metaphor four decades after Vygotsky's death. Scaffolding operationalises the zone of proximal development, but the word and the fading-support image are a later contribution.
More scaffolding produces more learning.
The amount of support is not what predicts achievement; its contingency is, together with the independent working time that lets responsibility transfer (van de Pol et al., 2015). Support that never fades can even impede the transfer it is meant to produce.

Glossary

Cognitive apprenticeship.
An instructional model that makes expert thinking visible through modelling, coaching and progressively faded support, extending the apprenticeship of physical crafts to cognitive skills.
Contingency.
The calibration of support to a learner's current level, so that help is diagnosed from and adjusted to each response rather than fixed in advance; the feature most often absent when the label is misapplied.
Contingent shift rule.
The tutoring heuristic of offering less help after a learner's success and more help after a failure, generating the support trajectory turn by turn from performance.
Designed scaffolding.
Support built in advance into a task, curriculum or software (also called hard scaffolding), able to reach many learners at once but less finely contingent than a live tutor's help.
Distributed scaffolding.
Support spread across multiple agents and tools in a setting — teacher, peers, software and materials acting together — rather than located in a single tutor.
Fading.
The gradual withdrawal of support as the learner's competence grows, so that assistance is removed rather than sustained; one of the three defining features of scaffolding.
Intersubjectivity.
A shared understanding of a task negotiated between tutor and learner, on which contingent support depends and which the passive reading of the building metaphor tends to obscure.
More knowledgeable other.
The adult or more capable peer whose guidance lets a learner perform within the zone of proximal development what they could not yet perform alone.
Ongoing diagnosis.
The tutor's continual assessment of the learner's current understanding that makes contingency possible; frequently lost in the move from human tutor to designed tool.
Problematizing.
A scaffolding mechanism that deliberately makes difficult or important aspects of a task salient, adding productive difficulty rather than only simplifying, in contrast with structuring.
Scaffolding.
The graduated, temporary and progressively withdrawn support a more capable partner supplies so a learner can accomplish a task within the zone of proximal development that they could not accomplish alone.
Soft scaffolding.
The dynamic, improvised support a responsive tutor or teacher supplies in the moment, adjusting to each learner turn by turn; contrasted with designed (hard) scaffolding.
Structuring.
A scaffolding mechanism that simplifies a task by organising it and reducing its degrees of freedom, easing the learner's load; the complement of problematizing.
Transfer of responsibility.
The passage of control over a task from tutor to learner across a scaffolded interaction, so that the learner ends up performing independently what once required help.
Zone of proximal development.
The distance between what a learner can do independently and what the same learner can do with guidance, the region within which scaffolding operates.

Key Researchers

Brian R. Belland (living). Professor of Educational Psychology at Pennsylvania State University; known for large-scale meta-analyses of computer-based scaffolding in STEM education that established its overall effect and mapped its moderators. Homepage - Google Scholar - ORCID

Jerome S. Bruner (1915-2016). Cognitive and developmental psychologist, latterly at New York University; co-author of Wood, Bruner and Ross (1976), the study that introduced the scaffolding metaphor into the psychology of instruction. Wikipedia

Janneke van de Pol (living). Associate professor of education at Utrecht University; lead author of the decade-of-research synthesis that framed contingency, fading and transfer of responsibility as scaffolding's three defining features, and of classroom studies linking contingency to achievement. Faculty Page - Google Scholar - ORCID

Sadhana Puntambekar (living). Sears-Bascom Professor of Educational Psychology at the University of Wisconsin-Madison; developed the analysis of designed versus interactional scaffolding and the account of distributed scaffolding across classroom agents and tools. Faculty Page - Google Scholar - ORCID

Lev Vygotsky (1896-1934). Soviet psychologist and founder of the cultural-historical school; originated the zone of proximal development, the construct scaffolding operationalises, though he never used the word himself. Wikipedia

Frequently Asked Questions

What is scaffolding in psychology?
Scaffolding is the graduated, temporary support a more capable partner gives a learner working on a task just beyond independent reach, controlling the parts the learner cannot yet manage and withdrawing that support as competence grows (Wood et al., 1976).

Who coined the term scaffolding?
David Wood, Jerome Bruner and Gail Ross introduced it in 1976, from a study of adults tutoring young children to build a block pyramid; the word describes the temporary frame a tutor supplies and then removes (Wood et al., 1976).

How is scaffolding related to the zone of proximal development?
Scaffolding operationalises Vygotsky's zone of proximal development: the zone identifies the band of tasks a learner can do only with help, and scaffolding describes what that help should look like to be effective there (Vygotsky, 1978).

What are the three features of scaffolding?
Contingency, meaning support tuned to the learner's current response; fading, meaning support gradually withdrawn; and transfer of responsibility, meaning control of the task passing from tutor to learner (van de Pol et al., 2010).

What is the difference between soft and hard scaffolding?
Soft scaffolding is the improvised, contingent support a responsive tutor gives in the moment; hard or designed scaffolding is support built in advance into tasks, curricula or software, which scales to many learners but is less finely contingent (Puntambekar & Hübscher, 2005).

Does scaffolding actually improve learning?
Meta-analyses of computer-based and game-based scaffolding find reliable positive effects on achievement, and classroom studies show the benefit tracks the contingency of support rather than its sheer amount (Belland et al., 2017; van de Pol et al., 2015).

Did Vygotsky use the word scaffolding?
No. Vygotsky died in 1934 and never wrote the term; it was introduced by Wood, Bruner and Ross in 1976, and the two ideas have travelled together only since (Wood et al., 1976).

What is distributed scaffolding?
Distributed scaffolding is support spread across several agents and tools in a classroom, such as the teacher, peers, software and materials acting together, rather than located in a single tutor, an account better suited to how real classrooms work (Puntambekar, 2022).

References

Belland, B. R., Walker, A. E., Kim, N. J., & Lefler, M. (2017). Synthesizing results from empirical research on computer-based scaffolding in STEM education: A meta-analysis. Review of Educational Research, 87(2), 309-344. https://doi.org/10.3102/0034654316670999

Cai, Z., Mao, P., Wang, D., He, J., Chen, X., & Fan, X. (2022). Effects of scaffolding in digital game-based learning on students' achievement: A three-level meta-analysis. Educational Psychology Review, 34(2), 537-574. https://doi.org/10.1007/s10648-021-09655-0

Chaiklin, S. (2003). The zone of proximal development in Vygotsky's analysis of learning and instruction. In A. Kozulin, B. Gindis, V. S. Ageyev, & S. M. Miller (Eds.), Vygotsky's educational theory in cultural context (pp. 39-64). Cambridge University Press. https://doi.org/10.1017/CBO9780511840975.004

Collins, A., Brown, J. S., & Newman, S. E. (1989). Cognitive apprenticeship: Teaching the crafts of reading, writing, and mathematics. In L. B. Resnick (Ed.), Knowing, learning, and instruction: Essays in honor of Robert Glaser (pp. 453-494). Lawrence Erlbaum Associates.

Kim, N. J., Belland, B. R., & Walker, A. E. (2018). Effectiveness of computer-based scaffolding in the context of problem-based learning for STEM education: Bayesian meta-analysis. Educational Psychology Review, 30(2), 397-429. https://doi.org/10.1007/s10648-017-9419-1

Pea, R. D. (2004). The social and technological dimensions of scaffolding and related theoretical concepts for learning, education, and human activity. Journal of the Learning Sciences, 13(3), 423-451. https://doi.org/10.1207/s15327809jls1303_6

Puntambekar, S., & Hübscher, R. (2005). Tools for scaffolding students in a complex learning environment: What have we gained and what have we missed? Educational Psychologist, 40(1), 1-12. https://doi.org/10.1207/s15326985ep4001_1

Puntambekar, S. (2022). Distributed scaffolding: Scaffolding students in classroom environments. Educational Psychology Review, 34(1), 451-472. https://doi.org/10.1007/s10648-021-09636-3

Reiser, B. J. (2004). Scaffolding complex learning: The mechanisms of structuring and problematizing student work. Journal of the Learning Sciences, 13(3), 273-304. https://doi.org/10.1207/s15327809jls1303_2

Stone, C. A. (1998). The metaphor of scaffolding: Its utility for the field of learning disabilities. Journal of Learning Disabilities, 31(4), 344-364. https://doi.org/10.1177/002221949803100404

van de Pol, J., Volman, M., & Beishuizen, J. (2010). Scaffolding in teacher-student interaction: A decade of research. Educational Psychology Review, 22(3), 271-296. https://doi.org/10.1007/s10648-010-9127-6

van de Pol, J., Volman, M., Oort, F., & Beishuizen, J. (2015). The effects of scaffolding in the classroom: Support contingency and student independent working time in relation to student achievement, task effort and appreciation of support. Instructional Science, 43(5), 615-641. https://doi.org/10.1007/s11251-015-9351-z

van de Pol, J., Mercer, N., & Volman, M. (2019). Scaffolding student understanding in small-group work: Students' uptake of teacher support in subsequent small-group interaction. Journal of the Learning Sciences, 28(2), 206-239. https://doi.org/10.1080/10508406.2018.1522258

Vygotsky, L. S. (1978). Mind in society: The development of higher psychological processes (M. Cole, V. John-Steiner, S. Scribner, & E. Souberman, Eds.). Harvard University Press.

Wood, D., Bruner, J. S., & Ross, G. (1976). The role of tutoring in problem solving. Journal of Child Psychology and Psychiatry, 17(2), 89-100. https://doi.org/10.1111/j.1469-7610.1976.tb00381.x