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  <front>
    <journal-meta />
    <article-meta>
      <title-group>
        <article-title>Human-Pedagogy Inspired LLM Fine-Tuning Paradigm for Lifelong Leaning and Continual Adaptation</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <string-name>Nitin Vetcha</string-name>
          <xref ref-type="aff" rid="aff0">0</xref>
          <xref ref-type="aff" rid="aff1">1</xref>
        </contrib>
        <aff id="aff0">
          <label>0</label>
          <institution>Department of Computational and Data Sciences, Indian Institute of Science</institution>
          ,
          <addr-line>Bangalore, Karnataka</addr-line>
          ,
          <country country="IN">India</country>
        </aff>
        <aff id="aff1">
          <label>1</label>
          <institution>Department of Ophthalmology, Yong Loo Lin School of Medicine, National University of Singapore</institution>
          ,
          <country country="SG">Singapore</country>
        </aff>
      </contrib-group>
      <pub-date>
        <year>2026</year>
      </pub-date>
      <abstract>
        <p>Current Large Language Model (LLM) training paradigms, while efective at pattern matching and knowledge retrieval, often fall short of replicating the nuanced, adaptive and generalizable reasoning characteristics of human intelligence. We argue that this stems from a fundamental disconnect between the static, data-driven training of LLMs and the dynamic, lifelong learning process inherent to human cognitive development that naturally resolves the stability-plasticity dilemma arising while deploying LLMs in non-stationary environments. Traditional approaches like experience replay or regularization often treat data as static points, ignoring the cognitive structures of learning. To bridge this gap, we introduce a novel robust blueprint for streaming and continual learning (SCL), namely Learn-Master-Teach Tuning (LMT2) , a visionary end-to-end training framework that simulates the complete human 'student-to-teacher' life-cycle. Our paradigm guides the model through a comprehensive developmental trajectory, from a novice learner internalizing a curriculum to a seasoned educator capable of lifelong learning and knowledge synthesis. By situating learning within a holistic, cognitive-inspired framework, we explore two fundamental research questions: Can the deep simulation of a human persona, in this case, a developing academic, act as a proxy for drift detection and active learning in streaming environments? And, does this student-teacher life-cycle ofer a superior training paradigm to resolve the plasticity-stability dilemma compared to traditional continual fine-tuning in LLMs? We present the complete LMT 2 methodology and position it within the landscape of existing SCL training paradigms, arguing that by emulating the human journey of learning, we can unlock new frontiers thereby enabling LLMs to operate in dynamic, streaming data environments.</p>
      </abstract>
      <kwd-group>
        <kwd>eol&gt;Lifelong Learning</kwd>
        <kwd>Catastrophic Forgetting</kwd>
        <kwd>Large Language Model Fine-tuning</kwd>
        <kwd>Human Pedagogy</kwd>
      </kwd-group>
    </article-meta>
  </front>
  <body>
    <sec id="sec-1">
      <title>1. Introduction</title>
      <p>LLMs have demonstrated remarkable capabilities in a wide range of downstream natural language tasks,
largely due to their ability to learn from vast amounts of text data and development life-cycle, which
typically unfolds across three canonical stages: vast, self-supervised pre-training on web-scale text
corpora; supervised fine-tuning (SFT) on curated instruction-response pairs; and alignment through
reinforcement learning, often with human feedback (RLHF). This approach, despite resulting in
remarkable success, treats learning as a process of mass data ingestion, focused on statistical pattern
recognition rather than a structured, developmental journey. The resulting models, while possessing
broad knowledge, are merely “approximate omniscients" that excel at next-token prediction but lack
the deep, verifiable expertise and robust reasoning due to de-contextualized learning. This stands in
stark contrast to the robust, flexible, and continuously evolving nature of human cognition which is
what is truly necessary in in real-world applications as data distributions shift, new vocabulary emerges
and factual knowledge evolves.</p>
      <p>
        Streaming Continual Learning (SCL) aims to address this by updating models on the fly. However,
current LLM fine-tuning methods, such as LoRA or full-parameter tuning, are susceptible to catastrophic
forgetting where updating weights for new data, say +1 destroys the representations learned for
data at a previous timestep, say . Existing SCL solutions typically fall into three categories: (1)
regularization-based (e.g., elastic weight consolidation [
        <xref ref-type="bibr" rid="ref1">1</xref>
        ]), which constrain weight updates; (2)
replaybased (ex: [
        <xref ref-type="bibr" rid="ref2">2</xref>
        ]) which store old data and (3) architecture-based (ex: [
        <xref ref-type="bibr" rid="ref3">3</xref>
        ]), which expand model capacity.
While efective for classification, these methods often fail to capture the semantic nuance of language
tasks, treating all tokens as equal and all updates as equally valid. We posit that the solution lies in
moving beyond simple regularization techniques and towards a holistic training paradigm inspired by
human pedagogy. Humans do not learn by simply appending new data to a mental bufer. We operate
in a structured manner which can be broadly seen as comprising of three phases (see Figure 1),
∙ Phase 1: Learning (The Student) corresponds to Plasticity. It involves detecting knowledge
gaps in the stream and curating curriculum to address them without overfitting to noise.
∙ Phase 2: Mastery (The Practitioner) corresponds to Robustness. It involves applying knowledge
through feedback loops and self-correction to ensure the model isn’t just memorizing the stream
but generalizing from it.
∙ Phase 3: Teaching (The Teacher) corresponds to Stability. It involves consolidating knowledge
into long-term memory and using "generative replay" (teaching) to reinforce old concepts.
We therefore aim to translate these pedagogical stages into concrete machine learning mechanisms
suitable for SCL and address the following research questions,
      </p>
      <p>RQ 1: Can the deep simulation of a human persona in LLMs, which in this case is of a developing
academic, translate to replication of the persona’s capability thereby acting as a proxy for drift
detection and active learning in streaming environments?
RQ 2: Does a student-teacher life-cycle ofer a superior training paradigm with for LLMs to
resolve the plasticity-stability dilemma thereby achieving superior retention and adaptation on
non-stationary data streams, compared to traditional continual FT?
The major contributions of this paper include
• LMT2 (Learn-Master-Teach Tuning), a novel multi-stage training paradigm with an end-to-end
framework that instead of treating the model as a static entity to be filled with information, guides
it through a complete, simulated human life-cycle of learning and growth, from a student to a
teacher (see Fig. 1)
• MentorX, a 7B-LMT tuned model trained to be an adaptive educational tutor for K-12 mathematics
which addresses RQ 1 and SkolarX, which is another 7B-LMT tuned model achieving comparable
performance with SFT baselines with significantly lower training data as a response to RQ 2
Rest of the paper is organized as follows: Section 2 discusses the motivation behind our approach,
Section 3 constitutes the relevant literature survey followed by the proposed LMT2 methodology in
Section 4 and the corresponding experiments in Section 5. Sections 6, 7 and 8 present the limitations,
future research directions and conclusions.</p>
    </sec>
    <sec id="sec-2">
      <title>2. Motivation</title>
      <p>
        Our primary motivation is to explore the transformative potential of situated learning and cognitive
apprenticeship in the context of SCL for LLMs. Lave and Wenger’s theory of situated learning [
        <xref ref-type="bibr" rid="ref4">4</xref>
        ]
posits that learning is not the mere transmission of abstract knowledge, but an integral part of social
practice. Similarly, Collins, Brown, and Newman’s model of cognitive apprenticeship [
        <xref ref-type="bibr" rid="ref5">5</xref>
        ] emphasizes
the importance of learning in the context of authentic activity, with expert guidance and modeling.
LMT2 is designed to be a computational instantiation of these theories in the SCL paradigm, providing a
simulated “social practice" and “authentic activity" for LLM’s lifelong learning with continual adaptation.
This leads to our first core motivation, encapsulated in RQ 1. While LLMs are adept at persona imitation,
it is unclear if this is a shallow form of mimicry or if it can lead to a deeper embodiment of a persona’s
traits and abilities. Psychological literature suggests that identity formation is deeply intertwined with
lived experience. By having our “MentorX" agent progress through the distinct stages of a
studentteacher life-cycle, we aim to investigate whether this simulated “lived experience" can foster a more
genuine form of intelligence capable of SCL, one that is not just knowledgeable about a domain, but can
reason and act within it.
      </p>
      <p>Our second motivation, addressed by RQ 2, is the pursuit of a more efective training SCL paradigm.
The student-teacher life-cycle is a powerful engine for learning in humans. The process of learning,
being tested, and then having to teach others forces a deeper understanding of the material, promotes
self-reflection and encourages the development of more robust mental models while keeping prior
information intact. We hypothesize that an LLM that undergoes this same process will develop more
generalizable reasoning skills, better error-correction abilities, and a greater capacity for lifelong
learning. This is a departure from the current paradigm, which often results in models that are “a mile
wide and an inch deep."</p>
    </sec>
    <sec id="sec-3">
      <title>3. Related Works</title>
      <p>
        Streaming Continual Learning: For LLMs, SCL has emerged as a critical research area to address
the challenge of updating pre-trained models on non-stationary data streams while mitigating
catastrophic forgetting, a central issue for deployment in dynamic environments. Recent comprehensive
surveys have highlighted multi-stage categorization schemes like continual pre-training, continual
instruction tuning, and continual alignment as foundational mechanisms for lifelong adaptation and
retention of knowledge over time [
        <xref ref-type="bibr" rid="ref2">2</xref>
        ], as well as broader taxonomies of internal and external lifelong
learning strategies [
        <xref ref-type="bibr" rid="ref3">3</xref>
        ]. Traditional CL research borrows extensively from classical mechanisms like
regularization, replay, parameter-eficient adaptation and modular expansion so as to balance plasticity
and stability, but these often treat streaming updates as algorithmic fixes rather than structured
developmental processes. Moreover, most existing approaches focus on algorithmic mitigation of forgetting
or evaluation benchmarks for sequential tasks, with limited work framing the continual adaptation
as a developmental curriculum that mirrors human lifelong learning. In contrast, the proposed LMT2
paradigm introduces a holistic, human-pedagogy inspired training pipeline that aligns stages of learning,
mastery, and generative teaching with core SCL objectives, thereby embedding curriculum structuring,
meta-reflection and generative replay into the continual learning process itself. By situating the training
within this cognitive-inspired sequence, LMT2 complements existing SCL strategies with a structured
pedagogical lens rooted in curriculum theory and lifelong learning principles.
      </p>
      <p>LLM-Based Data Augmentation: Data augmentation techniques for LLM post-training have become
essential for improving model performance, especially when labeled data is scarce or diverse data is
needed. Common strategies include prompt-based augmentation, where LLMs generate new training
examples by rephrasing, paraphrasing, or expanding existing data using carefully designed prompts,
and retrieval-based augmentation, which incorporates external knowledge to produce more grounded
and contextually rich data. Hybrid approaches combine these methods to maximize both diversity and
faithfulness of the generated samples.</p>
      <p>
        Multi-Stage LLM Post-Training Paradigms: Multi-stage post-training paradigms for LLMs are
emerging as powerful strategies to enhance model capabilities, generalization, and alignment with
complex tasks. These approaches often involve sequential or joint fine-tuning steps, such as supervised
ifne-tuning (SFT) followed by preference learning (e.g., RLHF or DPO), or modular training where
diferent components of a system are specialized and refined in stages. Recent research highlights the
limitations of simple sequential post-training, showing that models can “forget" earlier training stages,
and proposes joint or co-training frameworks to mitigate this issue and improve overall performance.
Multi-agent and multi-component paradigms, where several LLMs or modules collaborate and are
trained together (sometimes with reinforcement learning), have demonstrated superior results in tasks
requiring reasoning, tool use, or multimodal understanding [
        <xref ref-type="bibr" rid="ref6">6</xref>
        ]. Additionally, multi-stage influence
functions and progressive enhancement strategies allow for more interpretable and efective adaptation
of LLMs to downstream tasks, such as text ranking or retrieval. The use of synthetic data generated
through multi-agent simulations further enriches post-training, enabling models to better follow human
instructions and generalize to new domains. Overall, multi-stage post-training paradigms represent a
shift from static, single-step fine-tuning to dynamic, collaborative, and modular learning processes that
unlock new levels of LLM performance and flexibility.
      </p>
      <p>
        Human-Pedagogy Inspired LLM Enhancement: Recent research on human-pedagogy inspired
enhancements for LLMs explores methods such as structured curriculum training [
        <xref ref-type="bibr" rid="ref7">7</xref>
        ], iterative
teacherstudent refinement [
        <xref ref-type="bibr" rid="ref8">8</xref>
        ], self-reflection [
        <xref ref-type="bibr" rid="ref9">9</xref>
        ] and meta-cognitive strategies to improve educational outcomes.
Techniques like simulating teacher-student interactions and generating teaching reflections allow LLMs
to iteratively refine teaching plans, achieving quality comparable to those crafted by expert educators
and supporting pre-class rehearsal and introspection in lesson design. Fine-tuning LLMs with datasets
that emphasize Socratic guidance [
        <xref ref-type="bibr" rid="ref10">10</xref>
        ] and conceptual scafolding, rather than direct answers, leads
to more pedagogically aligned models that foster deeper learning and reduce over-assistance, though
sometimes at a slight cost to accuracy. Learning from human preferences and synthetic data generation
further enhances LLMs’ ability to provide scafolded guidance, supporting meta-cognitive and reflective
learning processes. Studies also show that LLMs can automate the creation of open-ended,
curiositydriven question prompts, which help students develop critical thinking and inquiry skills, and that
playful, game-based approaches can nurture domain expertise and self-regulation.
Human-in-theloop frameworks, where educators iteratively refine LLM-generated content, lower cognitive demand
and increase productivity in instructional design. Additionally, LLMs can personalize pedagogy by
recommending best practices and adapting content to students’ cultural backgrounds, supporting
both introspective teaching and culturally relevant pedagogy. Overall, integrating human-pedagogy
principles into LLM training and deployment holds promise for fostering more efective, reflective, and
adaptive educational experiences.
      </p>
    </sec>
    <sec id="sec-4">
      <title>4. Methodology</title>
      <p>The LMT2 framework operates as a continuous life-cycle. In the context of Streaming Continual
Learning (SCL), we now formalize in detail the three phases i.e., Learning, Mastery, and Teaching as
distinct mechanisms to balance the stability-plasticity dilemma.
4.1. Phase 1: Learning (Knowledge Acquisition via Active Streaming)
In a non-stationary environment, a model cannot simply consume all incoming data 
indiscriminately; doing so leads to catastrophic interference and ineficiency. The “Student" phase of our
framework emulates a human learner’s ability to structure incoming information, selectively attend
to novel concepts, and actively resolve ambiguities. We formalize this as a four-step pipeline: Stream
Structuring, Drift-Aware Gap Assessment, Structured Injection, and Active Querying.</p>
      <sec id="sec-4-1">
        <title>4.1.1. Stream Structuring via Material Curation:</title>
        <p>Raw data streams are often noisy and unstructured. A human student does not memorize raw text;
they convert it into structured mental models (notes, Q&amp;A). To replicate this, we employ a Stream
Structuring Module utilizing the SciQAG framework [11]. Given an incoming document batch 
from the stream, instead of performing standard causal language modeling, we transform  into a
structured set of scientific Question-Answer pairs,   = {(, )}.</p>
        <p>= SciQAG()
(1)
This transformation serves two SCL purposes:
1. Noise Reduction: By extracting only salient scientific facts into Q&amp;A format, we filter out
stylistic noise and irrelevant tokens that contribute to overfitting.
2. Task Formatting: It converts unsupervised stream data into an instruction-tuning format,
preparing the model for the subsequent active learning step.</p>
      </sec>
      <sec id="sec-4-2">
        <title>4.1.2. Drift Detection via Knowledge Gap Assessment:</title>
        <p>A core challenge in SCL is detecting when the data distribution has shifted (concept drift) or when
the model lacks specific knowledge (epistemic uncertainty). We model the “Student’s" testing phase as
a proxy for active learning. Before updating weights, we assess the current model   against the
structured stream . We utilize the Knowledge-Aware Fine-Tuning (KaFT) protocol [12] to compute
a conflict score  for each sample. The model attempts to answer  ∈ . If the model’s internal
knowledge conflicts with the stream data (indicating either a hallucination or an outdated fact due to
drift), we flag this sample for high-priority learning.</p>
        <p>= I(  () ̸= ) ·  + I(   () ≈  ) · 
(2)
where  is the sample weight, and  ≫  . This mechanism acts as a filter for plasticity since the model
allocates gradient updates primarily to “unknowns" (new concepts or drifts) while suppressing updates
for “knowns," thereby naturally mitigating forgetting by reducing unnecessary weight perturbations on
established knowledge.</p>
      </sec>
      <sec id="sec-4-3">
        <title>4.1.3. Structured Injection via Prompt Distillation:</title>
        <p>Once high-drift samples are identified, we must inject this knowledge without destabilizing existing
representations. We employ a Teacher-Student Distillation approach for the update step [13, 14].
Instead of raw SFT, we utilize prompt distillation. A frozen, larger teacher model (representing an oracle
or a more capable past snapshot) receives the new knowledge  in its context window and generates a
reasoning trace. The student model  is optimized to mimic this output distribution.
ℒ =</p>
        <p>∑︁
(,)∈</p>
        <p>· KL(  ℎ(|, )||(|))
This acts as a regularizer. By distilling the distribution rather than fitting hard labels, we smooth the
loss landscape, allowing the model to adapt to the stream (high plasticity for high  samples) while
retaining the structural reasoning capabilities of the teacher.</p>
      </sec>
      <sec id="sec-4-4">
        <title>4.1.4. Active Querying via Interactive Doubt Clearance:</title>
        <p>Passive learning from a teacher is often insuficient for resolving deep ambiguities or complex drifts.
To address this, we introduce an Active Querying Module inspired by the INTERACT framework
[15]. When the student model  encounters high uncertainty (high entropy ) in its predictions
even after initial injection, it does not passively accept the loss. Instead, it enters an interactive loop .
The student generates a clarifying question  targeting the ambiguity, and the Teacher model
provides a specific explanation  .</p>
        <p>If ( (|)) &gt; ,</p>
        <p>Query:   ←   (, )
(3)
(4)
The student then integrates this response into its context and re-attempts the task. This multi-turn
interaction allows the model to refine its internal representations of complex concepts before weight
updates occur, efectively reducing epistemic uncertainty and ensuring that only high-confidence,
verified knowledge is encoded into long-term memory. This completes the “Student" phase in which
the model has structured the stream, identified drift, learned via distillation and actively resolved
ambiguities.</p>
        <sec id="sec-4-4-1">
          <title>4.2. Phase 2: Mastery (Robustness via Recursive Refinement)</title>
          <p>While Phase 1 handles the initial acquisition of new stream data, SCL requires that these updates be
robust to noise and compatible with prior knowledge. The “Mastery" phase formalizes this as a recursive
self-improvement loop, transforming the model from a passive learner into an active practitioner that
validates and consolidates new information.</p>
        </sec>
      </sec>
      <sec id="sec-4-5">
        <title>4.2.1. Active Refinement via Feedback-Driven Practice:</title>
        <p>
          In a streaming setting, single-pass training on noisy data often leads to shallow minima. To enforce
robustness, we implement an Iterative Refinement Loop inspired by the YODA framework [
          <xref ref-type="bibr" rid="ref8">8</xref>
          ]. For
high-loss samples identified in Phase 1, the model does not merely minimize cross-entropy. Instead, it
enters a feedback loop where a teacher agent evaluates the student’s output  and provides a critique
. The student then generates a refined output  +1 conditioned on this critique.
        </p>
        <p>+1 =  (|, )
We update the model weights only on the final, verified trajectory (, ). This efectively filters
out stochastic noise from the stream, ensuring that gradients are computed based on high-confidence,
reasoned paths rather than initial, potentially erroneous guesses.</p>
      </sec>
      <sec id="sec-4-6">
        <title>4.2.2. Forgetting Mitigation via Cumulative Ensemble Distillation:</title>
        <p>A primary failure mode in SCL is catastrophic forgetting, where fitting the current stream 
erases knowledge from −1 . To mitigate this, we employ a Multi-Teacher Distillation
strategy [16]. Instead of distilling from a single oracle, the student learns from an ensemble of teachers
 = {, 1 , 2 }. These represent snapshots of the model at diferent timesteps or
specialized expert models. The update objective minimizes the divergence from the ensemble average, acting
as a form of generative replay without storing raw data.</p>
        <p>ℒ = ∑︁   · KL(  (|)||(|))</p>
        <p>∈
This forces the model to find a parameter configuration that satisfies both the current stream (via
) and historical constraints (via ), explicitly balancing plasticity and stability.
(5)
(6)</p>
      </sec>
      <sec id="sec-4-7">
        <title>4.2.3. Drift Adaptation via Post-Instructional Reflection:</title>
        <p>
          When a distribution shift occurs, simply updating weights can lead to incoherent internal representations.
To ensure the model understands the drift, we utilize a Meta-Introspection Module such as ReflectEvo
[
          <xref ref-type="bibr" rid="ref9">9</xref>
          ]. After an update step, the model is prompted to generate a self-reflection  analyzing its own
reasoning process on the new data: “Why was my initial prediction wrong? What concept changed?"
This generated reflection  is added to the context bufer for future samples in the same stream batch.
        </p>
        <p>+1 () ←    (, )
This mechanism acts as an internal regularizer, forcing the model to explicitly verbalize the concept
drift, which aids in rapid few-shot adaptation to the new distribution.</p>
      </sec>
      <sec id="sec-4-8">
        <title>4.2.4. Reliability Verification via Peer-Review Examination:</title>
        <p>In SCL, it is critical to verify that an update has not degraded performance on previous tasks. We
implement a Peer-Review Gate using the FAIR approach [17]. Before committing the new weights
 , a committee of frozen peers evaluates the model on a small anchor set of historical samples. The
update is accepted only if the examination score (performance stability) remains above a threshold  .</p>
        <p>Update  ←</p>
        <p>⇐⇒ Score ( ) ≥ 
This step prevents polluted or destabilizing updates from corrupting the long-term memory, serving as
a final quality check in the streaming pipeline.</p>
        <sec id="sec-4-8-1">
          <title>4.3. Phase 3: Teaching (Stability via Generative Consolidation)</title>
          <p>In the final phase of the SCL loop, the model transitions from a consumer of the stream to a generator.
This “Teaching" phase is critical for stability; by forcing the model to articulate and restructure its
knowledge for a student, we implement a form of generative replay and modular editing that solidifies
long-term retention against non-stationary drift.</p>
        </sec>
      </sec>
      <sec id="sec-4-9">
        <title>4.3.1. Stability via Learning by Teaching (Generative Replay):</title>
        <p>To prevent catastrophic forgetting of previous stream concepts, we utilize a Learning by Teaching (LbT)
paradigm [18]. Instead of simply minimizing loss on the current batch, the model  acts as a “Teacher"
and generates synthetic instructional data ℎ (rationales, examples) for a weaker student model .
The teacher optimizes its own representations to maximize the student’s learning eficiency.
ℒ = −E (,)∈ℎ [log  (|, Rationale )]
(9)
This process forces the Teacher model to generate high-fidelity, generalized representations of the data
distribution. By teaching the student, the model efectively replays its internal knowledge, reinforcing
its own weights against drift without needing to store the original raw data stream.
(8)
(7)</p>
      </sec>
      <sec id="sec-4-10">
        <title>4.3.2. Policy Optimization via Socratic Mentoring:</title>
        <p>
          Merely outputting answers is insuficient for robust generalization. To ensure the model has internalized
the causal structure of the stream data, we train it to act as a Socratic Tutor [
          <xref ref-type="bibr" rid="ref10">19, 10</xref>
          ]. We formulate
this as a Reinforcement Learning (RL) problem where the model learns a policy   to guide a student
through a multi-turn reasoning process. The reward signal  is derived from the student’s successful
convergence to the correct answer without being given the solution directly.
        </p>
        <p>(  ) = E∼ 
[︃ 
∑︁  (, )</p>
        <p>]︃
=0
(10)
This optimization ensures that the model learns the underlying logic and dependencies of the domain,
rather than just surface-level correlations, making it more robust to adversarial shifts in the data stream.</p>
      </sec>
      <sec id="sec-4-11">
        <title>4.3.3. Non-Stationary Adaptation via Lifelong Memory Editing:</title>
        <p>Finally, to handle the “Plasticity-Stability" dilemma in a perpetually non-stationary environment, we
employ the WISE Framework** (Working &amp; Side Memory Editing) [20]. We decouple the model’s
memory into two components:
1. Main Memory (Θ ): Frozen or slowly updating parameters containing general reasoning
capabilities (Stability).</p>
        <p>2. Side Memory (Θ ): Rapidly updating adapter modules that store specific, time-sensitive facts
from the stream (Plasticity).</p>
        <p>A routing mechanism () determines which memory to access for a given query .
 = () ·  (Θ ; ) + (1 − ()) ·  (Θ
; )
(11)
When the stream introduces a factual update (e.g., "The Prime Minister has changed"), we edit only
the relevant shard in Θ . This allows for precise, localized updates to handle concept drift without
catastrophic interference with the global model, enabling true lifelong learning.</p>
      </sec>
    </sec>
    <sec id="sec-5">
      <title>5. Experiments</title>
      <p>We applied LMT2 to Llama-3.2-1B-Instruct for the topic of diferential equations. The seed documents
uploaded include just a single chapter, titled “Diferential Equations” from a K-12 mathematics textbook.
The evaluation dataset consisted of the corresponding questions from the Big-Math dataset [21], thereby
avoiding the possibility of data contamination. The resulting LMT2 tuned model outperformed the base
model by a significant margin of 33% indicating the potential of our pipeline. Due to the generic nature
of LMT2, it can be generalized to domains apart from mathematics as well.</p>
    </sec>
    <sec id="sec-6">
      <title>6. Conclusions</title>
      <p>In this paper, we have introduced LMT2, a novel training paradigm that represents a fundamental
departure from current approaches to developing LLMs. We have argued that the path to more robust,
generalizable, and adaptive AI lies not in piecemeal, modular enhancements, but in redesigning the
training process itself to be more holistic and developmental. By proposing a framework that simulates
the complete human ’student-to-teacher’ life-cycle, we have provided a concrete methodology for
exploring two of the most critical questions in AI research: whether deep simulation can lead to genuine
replication of a persona’s capabilities, and whether a human-centric developmental journey constitutes
a superior training paradigm. The framework, with its 3 distinct phases of “In the Classroom," “Mastery"
and “The Teacher", is not merely a collection of techniques, but an integrated, cognitive-inspired
narrative. It is our belief that by building models that learn in a way that is more analogous to our
own journey of intellectual growth, we can begin to bridge the gap between the brittle intelligence of
current systems and the fluid, adaptable intelligence that remains the hallmark of the human mind.</p>
    </sec>
    <sec id="sec-7">
      <title>7. Acknowledgments</title>
      <p>The author would like to thank Professor Sashikumaar Ganesan, from the Department of Computational
and Data Science at Indian Institute of Science, Bangalore for providing valuable insightful feedback
and the adequate compute resources required to execute this project.</p>
    </sec>
    <sec id="sec-8">
      <title>Declaration on Generative AI</title>
      <p>During the preparation of this work, the author used Large Language Models (GPT-5.2, Claude Opus
4.5 and Gemini-3) as a writing assistant tool for drafting content, to generate literature review, for
abstract drafting, to paraphrase and reword, to improve writing style, for grammar and spelling check
as well as to generate the images used in the paper. The process was interactive. After writing the
core content, the author used LLMs with specific prompts to refine the text. These prompts included
requests to “check for grammatical errors,” “rephrase this sentence for clarity,” “make this paragraph
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