Constructivism versus Cognitive Load Theory: In Search for an Effective Mathematics Teaching — TEI-tagged view

Upu, Bustang · 2021 · education · doi:10.48550/arxiv.2108.04796 · full text at the source · TEI xml · tagged edition · index · concepts · authors
Where this record's text came from. faceted 2026-08 by reading the locally held text (pdftext); every evidence string verified as an exact substring of that text before merging. This is an argumentative essay with no new data, so method 'review' is the closest fit; the quoted method sentence is from the abstract's description of what the paper does. The only self-stated limitation is the single word 'limited' inside a results sentence, which is thin - the paper never discusses selection of the reviewed evidence or counter-evidence it omits. Extraction artefacts preserved verbatim: the ResearchGate cover page precedes the text, the target of the first relation reads 'Kirschner et al’s' without a closing period in the source, and 'Hmelo- Silver' carries a line-break hyphen plus space. The record's dual first-person voice ('we present' in the abstract, 'I argue' throughout) is a source inconsistency the facets cannot capture. 2026-08-14 schema-0.3 pass: every quote verified as an exact substring of the staged text and anchored at merge time; concept terms verified present; every edge endpoint an existing node.
This record’s own method is review, and the tags below follow from that. A review’s findings, quantities and statistics are things stated IN this paper, and some of them report results obtained elsewhere. No tag on this page names a different author. Measured across every review in this corpus, 81% of a review’s tags carry no citation at all — most of them are the review speaking. The corpus does not adjudicate the rest: read an unmarked tag as a claim this paper makes, not necessarily one it made first.
Other fields define these differently the same word, defined another way in another discipline
working memory 4 fields
Tags on this paper every tag the record carries, whether or not the words occur in the text below — a number is how many papers in the corpus carry that tag; a tag with no number is unique to this paper
constructivism minimally guided instruction cognitive load theory scaffolding working memory27 review319

Our tag layer for this paper

Cross-disciplinary analysis
content-tags & facets: phenomenon · claim-type · cross-domain-transfer · mechanism · claim-relation · replication-status · limitation — grounded in the full text
phenomenonconstructivist instruction versus cognitive load in mathematics teaching— “Two major learning theories have dominated recent literature on optimizing knowledge acquisition: constructivism and cognitive load theory.”
claim-typecritique— “I have presented the arguments and evidence from several researches that against the claim of Kirschner et al. (2006) about categorizing constructivist approaches into minimally guidance instruction.”
method — evidence— “The current study describes the elements of constructivism theory and their cognitive basis and show how they can be aligned with the structures that constitute human cognitive architecture.”
mechanismScaffolding lowers cognitive load by structuring the task so learners attend only to the parts relevant to the learning goals, which is why constructivist teaching does not overload working memory— “These researchers argue that in constructivist approaches such as problem-based learning and inquiry learning, the teachers can provide scaffolding that decrease cognitive load by structuring a task that guide the learners to focus on aspects of the task that are relevant to the learning goals.”mechanisms[0]
contradicts Kirschner, Sweller and Clark (2006)— “In contrast to Kirschner et al’s point of view, I assert that the elements of constructivist approaches allow for flexible adaptation of guidance, making these instructional approaches more compatible with the manner in which our cognitive structures are organized.”claim_relations[0]
builds-on Hmelo-Silver, Duncan and Chinn (2007)— “In agreement with to Hmelo- Silver et al (2007), I argue that some of these approaches, in particular constructivist, cannot be equated with minimally guided instruction.”claim_relations[1]
senseconstructivism vs minimally guided instruction - THE IDENTIFICATION THE WHOLE DISPUTE TURNS ON: one side treats constructivist teaching as an instance of minimally guided instruction and attacks it on that basis, and this author denies the equation, so both sides can be right about different classes of teaching— “I argue that some of these approaches, in particular constructivist, cannot be equated with minimally guided instruction”senses[0]
senseworking memory and long-term memory - TWO DEFINITIONS, BOTH ATTRIBUTED: the first is the memory used for all conscious activities and the only one that can be monitored, the second a large and relatively permanent store, and both are given on the authority of named authors rather than argued for here— “Short-term or working memory is defined as the memory that is used for all conscious activities such as reading the text and it is the only memory that we can monitor (Sweller, 2004; Kirschner, 2002). The problem, especially in relating to instructional design, is that the capacity of working memory in saving information is limited. Miller…senses[1]
sensescaffolding - DEFINED BY CITATION: the process by which a teacher or more knowledgeable peer alters the learning task so the learner can accomplish what would otherwise be out of reach, attributed to a specific author and year rather than stipulated— “The term scaffolding is defined by Reiser (2004) as the process by which the teacher or more knowledgeable peer assist a learner, altering the learning task so the learner can solve problems or accomplish tasks that would otherwise be out of reach”senses[2]
edgeconstructivism —distinct-from→ minimally guided instruction— “Constructivist Approaches are not Minimally Guided Instructions Constructivism has been a leading if not the dominant theory or philosophy of learning, since it has been applied in almost all subjects (Noddings, 1999).”concept_edges[0]
for which uselimitation — the claim that constructivist teaching is or is not effective: the author argues these approaches cannot be equated with minimally guided instruction, so the two sides of the dispute are not necessarily discussing the same class of teaching— “I argue that some of these approaches, in particular constructivist, cannot be equated with minimally guided…limitations[1]
for which uselimitation — a comparison of direct instruction against constructivist approaches: the opposing finding concerns robust acquisition and maintenance of knowledge over time, which is not the outcome the efficacy claim was made aboutlimitations[2]
for which uselimitation — any prediction drawn from cognitive load theory here: it is based on the assumption that human cognitive architecture can process only a limited amount of information in working memory in a given time
Quotation withheld — this paper is not ours to reproduce, and the page has already quoted as much of it as the rights layer allows. The tag, its field and its confidence stand; the sentence is at the publisher.
limitations[3]
for which uselimitation — the support offered here for constructivist approaches: the author discusses guidance and evidence drawn from published studies to argue these approaches cannot be categorised as minimally guided instruction, rather than reporting a new study
Quotation withheld — this paper is not ours to reproduce, and the page has already quoted as much of it as the rights layer allows. The tag, its field and its confidence stand; the sentence is at the publisher.
limitations[4]
replicationuntested
limitationThe author characterises the review of constructivist research as limited in scope.
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limitations[0]
limitationThe empirical dispute rests on a prior question of naming: whether one label covers the other.
Quotation withheld — this paper is not ours to reproduce, and the page has already quoted as much of it as the rights layer allows. The tag, its field and its confidence stand; the sentence is at the publisher.
limitations[1]
limitationThe contradicting result is about a different outcome from the one the original claim measured.
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limitations[2]
limitationThe theory on the other side of the argument rests on a stated assumption about cognitive architecture.
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limitations[3]
limitationThe paper argues from other people's studies rather than from evidence gathered for it.
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limitations[4]
Content tags
content-observations: finding · quantity · variable · definition · key-term — grounded in the full text
findingThe paper argues that constructivist approaches allow flexible adaptation of guidance and so fit how cognitive structures are organised.
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content_tags.findings[0]
findingIts concluding claim is that scaffolding is what makes constructivist approaches compatible with human cognitive architecture, because scaffolding reduces working memory load.
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content_tags.findings[1]
findingConstructivist approaches such as problem-based and inquiry learning supply learners with scaffolding covering both how to do the task and why it should be done that way, so learners are not left to construct everything alone.
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content_tags.findings[2]
findingReviewing the evidence, the paper concludes the claim that constructivist approaches do not work is not well supported and that evidence points the other way.
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content_tags.findings[3]
findingConstructivism is a general theory of learning, while Realistic Mathematics Education is a theory of learning and instruction specific to mathematics.
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content_tags.findings[4]
findingThe paper does not claim that constructivist approaches are better than other instructional guidance such as direct instruction.
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content_tags.findings[5]
quantityfive to nine items — Working memory capacity for not-previously-learned information, the limit the paper reasons from (attributed to Miller, 1994)
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content_tags.quantities[0]
definitionminimally guided instruction
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content_tags.definitions[0]
definitionscaffolding
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content_tags.definitions[1]
definitionworking memory
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content_tags.definitions[2]
definitionlong-term memory
Quotation withheld — this paper is not ours to reproduce, and the page has already quoted as much of it as the rights layer allows. The tag, its field and its confidence stand; the sentence is at the publisher.
content_tags.definitions[3]
definitioncognitive load theory
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content_tags.definitions[4]
definitionintrinsic cognitive load
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content_tags.definitions[5]
definitionextraneous cognitive load
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content_tags.definitions[6]
definitiongermane cognitive load
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content_tags.definitions[7]
definitionconstructivist theory
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content_tags.definitions[8]
Concepts
terms this paper carries, each with the sentence it was cut from — the layer that joins one paper to another. Terms with no quote yet are on CONCEPTS.html.
conceptconstructivism
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concepts[0]
conceptminimally guided instruction
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concepts[1]
conceptcognitive load theory
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concepts[2]
conceptscaffolding
Quotation withheld — this paper is not ours to reproduce, and the page has already quoted as much of it as the rights layer allows. The tag, its field and its confidence stand; the sentence is at the publisher.
concepts[3]
conceptworking memory
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concepts[4]

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