A reflection on the use of artificial intelligence tools for the meaningful learning of mathematics — TEI-tagged view

Govender · 2024 · education · doi:10.4102/pythagoras.v45i1.831 · 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. limitations is empty deliberately: the editorial discusses limitations of AI in education (over-reliance, a diminished teacher role, the digital divide, data privacy) but never states any limit of its own argument, scope or evidence base, so nothing here would satisfy the 'the paper's own limits' rule. Claim relations is empty deliberately: every reference to prior work appears as a bare parenthetical citation supporting a general assertion, with no sentence positioning this editorial for or against a named study. The piece reports no data and no systematic search, so 'review' is the nearest method term for a discursive editorial. Claim type is 'prediction' because the load-bearing claim is about what AI can and will do for mathematics learning if implemented in a particular way. 2026-08-14, 2026-08-15 and 2026-08-26 schema-0.3 passes: 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
artificial intelligence 4 fields · large language models 2 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
artificial intelligence10 generative AI6 large language models6 meaningful learning2 personalisation2 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
phenomenonAI tools in mathematics education— “Meaningful learning in mathematics goes beyond rote memorisation of formulas or the mechanical application of algorithms.”
claim-typeprediction— “By complementing, rather than replacing, traditional teaching methods, AI can play a significant role in transforming mathematics education for the better, helping to create more dynamic, inclusive and effective learning environments for all students.”
method — evidence— “This editorial examines the potential impact of AI tools on fostering deeper understanding in mathematics, while also addressing the challenges associated with their implementation.”
mechanismAI systems continuously re-tune problem difficulty to the individual student's measured performance, holding each learner at a level of challenge that is neither too easy nor too hard, which is the route by which personalisation is claimed to produce deeper learning— “For instance, adaptive learning platforms adjust the difficulty of problems based on the student’s performance, ensuring that they are neither overwhelmed nor under-stimulated.”mechanisms[0]
mechanismimmediate machine feedback lets a learner detect and repair an error while the attempt is still active, so the correct concept is reinforced instead of the mistake being consolidated— “Moreover, AI-driven systems can offer immediate feedback, allowing learners to correct their mistakes in real-time and reinforcing key concepts.”mechanisms[1]
qualifies Grájeda et al. (2024)— “However, there are concerns that over-reliance on AI tools such as ChatGPT might undermine students’ ability to develop their own problem-solving skills (Grájeda et al., 2024).”claim_relations[0]
builds-on Grájeda et al. (2024)— “Creating a positive, supportive atmosphere, setting realistic expectations, incorporating technology, adjusting instruction based on progress, and promoting self-reflection are also important components of an effective teaching approach (Grájeda et al., 2024).”claim_relations[1]
builds-on How & Hung (2019)— “However, the integration of AI into education also raises critical questions regarding its effectiveness, accessibility and…claim_relations[2]
qualifies Grájeda et al. (2024)claim_relations[3]
sensemeaningful learning - DEFINED BY NEGATION: what it goes beyond (rote memorisation, mechanical application of algorithms) rather than by any property that would let a reader decide whether a given lesson achieved it
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.
senses[0]
senseartificial intelligence - AS THREE NAMES FOR ONE THING: the editorial's opening sentence treats AI, generative AI and large language models as interchangeable, which is the conflation every later claim inherits
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.
senses[1]
sensepersonalisation - AS THE PROPOSED MECHANISM: customised learning paths tailored to each student's strengths, weaknesses and pace, which is what the editorial means when it says AI supports meaningful learning
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.
senses[2]
differs inGrájeda et al. (2024) — WHETHER THE TOOL BUILDS THE SKILL OR SUBSTITUTES FOR IT. 'HOWEVER, THERE ARE CONCERNS THAT OVER-RELIANCE ON AI TOOLS SUCH AS CHATGPT MIGHT UNDERMINE STUDENTS' ABILITY TO DEVELOP THEIR OWN PROBLEM-SOLVING SKILLS.' The same capability that makes the tool useful for a task is what removes the occasion to learn the task - and note that wang2024's students said this themselves, 22 of 48 unprompted, so it is reported here as a literature concern and there as a first-person one
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.
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.
claim_relations[0]
differs inGrájeda et al. (2024) — WHAT THE SAME SOURCE IS CITED FOR. Grájeda et al. supplies BOTH the list of effective-teaching components - which includes 'INCORPORATING TECHNOLOGY' - AND, two sentences later, the over-reliance concern. One citation carries the endorsement and the caution, and a reader following either citation alone gets half of what that source says
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.
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.
claim_relations[1]
differs inHow & Hung (2019) — WHICH THREE THINGS ARE PUT IN ONE LIST. 'the integration of AI into education also raises critical questions regarding its effectiveness, accessibility and ethical implications' - an empirical question, a distributional one and a normative one, joined by 'and' and answerable by entirely different kinds of evidence. The record's own limitation already notes access being named as a precondition for any claimed benefit
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.
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.
claim_relations[2]
differs inGrájeda et al. (2024) — WHETHER THE TOOL BUILDS THE SKILL OR SUBSTITUTES FOR IT. 'HOWEVER, THERE ARE CONCERNS THAT OVER-RELIANCE ON AI TOOLS SUCH AS CHATGPT MIGHT UNDERMINE STUDENTS' ABILITY TO DEVELOP THEIR OWN PROBLEM-SOLVING SKILLS.' The same capability that makes the tool useful for a task is what removes the occasion to learn the task - and note that wang2024's students said this themselves, 22 of 48 unprompted, so it is reported here as a literature concern and there as a first-person one
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.
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.
claim_relations[3]
edgegenerative AI —same-as→ artificial intelligence
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.
concept_edges[0]
edgelarge language models —same-as→ artificial intelligence
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.
concept_edges[1]
for which uselimitation — any claim in this editorial about 'AI': the opening sentence treats artificial intelligence, generative AI and large language models as the same thing, so a claim about one is written as a claim about all three
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[0]
for which uselimitation — a judgement that some AI-supported activity produced meaningful learning: the term is defined here as going beyond rote memorisation and mechanical application, which says what it is not
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]
for which uselimitation — a recommendation to adopt these tools: the editorial names over-reliance as a concern that may lead to a diminished role for teachers, and states AI should complement rather than replace them
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[2]
for which uselimitation — the benefits claimed here for mathematics learning: they are conditional on equitable access to the technology, which the editorial states is essential for any positive impact
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]
replicationuntested
limitationThe subject is introduced by equating three different things - a field, a capability and a class of model - in the editorial's first sentence.
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[0]
limitationThe term the whole argument rests on is given only by what it exceeds, never by a criterion that would decide a case.
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 editorial's own caveat is that the technology may displace the teacher rather than assist them.
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[2]
limitationAccess to the technology is named as a precondition for any of the claimed benefits.
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]
Content tags
content-observations: finding · quantity · variable · definition · key-term — grounded in the full text
findingThe editorial holds that AI should complement rather than replace the teacher's role in facilitating meaningful learning.
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.findings[0]
findingIt argues that leaning too heavily on tools such as ChatGPT may stunt students' development of their own problem-solving skills.
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.findings[1]
findingIt warns that unequal access to AI tools risks widening rather than narrowing educational inequality.
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.findings[2]
findingIt identifies student data collection by AI platforms as an unresolved ethical and privacy problem for schools.
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.findings[3]
definitionmeaningful learning in mathematics
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[0]
definitionChatGPT
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[1]
definitionartificial intelligence (AI)
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[2]
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.
conceptartificial intelligence
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[0]
conceptgenerative AI
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[1]
conceptlarge language models
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[2]
conceptmeaningful learning
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]
conceptpersonalisation
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[4]

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