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La cognition Mandombe dans les apprentissages préscolaires congolais : étude pilote
No full textThis study explores whether early exposure to Mandombe, taught alongside the national Latin based curriculum, is associated with small but coherent differences in attention, visuospatial working memory and shape based emotional coding in Congolese children aged 5 to 7 years. Mandombe is a geometric script in which young learners must rotate and project units in imagined three dimensional space, map orientation to sound and tone, plan continuous stroke paths from the singini starting point to the end of each zita and vary line qualities such as length, curvature and angle to convey emotion, speed and melodic contour.
Longitudinal cohorts described by Nsiangani showed that older children educated through Mandombe often combined rapid progress in mathematics and symbolic reasoning with heightened sensitivity to small visual and emotional cues. He suggested that the emotional and prosodic coding built into the script might contribute to this profile but left that part of the hypothesis largely unexplored.
Here we work with younger children in a natural setting. We compare 5–7 year olds from CENA Nsanda centres in Kinshasa and Kongo Central, where Mandombe is integrated into preschool and first grade as a regular activity, with age matched peers from nearby Latin only schools. All children completed a short tablet based battery that included an age adapted continuous performance task, a mvuala style visuospatial span, a verbal span, a 2D to 3D “tower view” task, an orientation to sound mapping game, a continuous stroke path task from a singini point, an emotion shape learning game, an emotion tagged recognition task and a simple shape prosody matching task.
Children with at least one year of regular Mandombe activities showed modest advantages on sustained attention in shape based blocks, visuospatial span, 2D to 3D mapping, orientation sound mapping and continuous stroke control, as well as faster learning and better transfer of emotion shape rules and a stronger memory benefit for emotion tagged shapes. No differences appeared on verbal span, and results were small or inconsistent on purely picture based attention trials. These findings do not support broad claims of superiority. They suggest that early Mandombe practice, as it currently exists in Nsanda, functions as a structured training field for a cluster of geometric and emotional operations that can already be detected by age seven.
This study explores whether early exposure to Mandombe, taught alongside the national Latin based curriculum, is associated with small but coherent differences in attention, visuospatial working memory and shape based emotional coding in Congolese children aged 5 to 7 years. Mandombe is a geometric script in which young learners must rotate and project units in imagined three dimensional space, map orientation to sound and tone, plan continuous stroke paths from the singini starting point to the end of each zita and vary line qualities such as length, curvature and angle to convey emotion, speed and melodic contour.
Longitudinal cohorts described by Nsiangani showed that older children educated through Mandombe often combined rapid progress in mathematics and symbolic reasoning with heightened sensitivity to small visual and emotional cues. He suggested that the emotional and prosodic coding built into the script might contribute to this profile but left that part of the hypothesis largely unexplored.
Here we work with younger children in a natural setting. We compare 5–7 year olds from CENA Nsanda centres in Kinshasa and Kongo Central, where Mandombe is integrated into preschool and first grade as a regular activity, with age matched peers from nearby Latin only schools. All children completed a short tablet based battery that included an age adapted continuous performance task, a mvuala style visuospatial span, a verbal span, a 2D to 3D “tower view” task, an orientation to sound mapping game, a continuous stroke path task from a singini point, an emotion shape learning game, an emotion tagged recognition task and a simple shape prosody matching task.
Children with at least one year of regular Mandombe activities showed modest advantages on sustained attention in shape based blocks, visuospatial span, 2D to 3D mapping, orientation sound mapping and continuous stroke control, as well as faster learning and better transfer of emotion shape rules and a stronger memory benefit for emotion tagged shapes. No differences appeared on verbal span, and results were small or inconsistent on purely picture based attention trials. These findings do not support broad claims of superiority. They suggest that early Mandombe practice, as it currently exists in Nsanda, functions as a structured training field for a cluster of geometric and emotional operations that can already be detected by age seven.
Mandombe-Based Artificial Intelligence: Toward a Symbolic-Geometric Model of Computation
No full textThis paper focuses on adapting Mandombe’s recursive symmetry to artificial intelligence design. It proposes a symbolic-geometric learning algorithm that uses inversion and rotation logic instead of linear weighting. Simulations demonstrate higher interpretability and resistance to data bias. This model aligns with decolonial computing principles and the epistemological independence envisioned by MEN-D research.References:
Nsiangani K.M. (2016) From Mvemba Nzinga to Modern Puppets;
Nsiangani K. (2021) MEN-D Cryptography Symbolique
Logical Foundations of the Mandombe System: Toward an African Axiomatic Framework
No full textKeywords
Mandombe, logic, axiomatic systems, African philosophy, epistemology
This article defines a formal logic whose syntax and semantics are grounded in the internal geometry of the Mandombe writing system. Building on previous work that presents Mandombe as a cognitive grammar of reasoning, I introduce M-Logic₀, a propositional calculus whose connectives and inference rules are constrained by mvuala–kisimba configurations and their allowed rotations, reflections and concatenations. I give a sequent formulation of M-Logic₀ with a distinguished inconsistency constant ⊥ᴹ and a restricted explosion rule that reflects the way forbidden geometric moves are treated in actual Nsanda teaching.
On the semantic side I define mvuala-models: diagrammatic valuation frames in which formulas are interpreted as regions and paths in oriented Mandombe cells. Truth, incompatibility and implication are read from geometric relations such as inclusion, mirror opposition and forced path extension. I prove soundness of M-Logic₀ with respect to mvuala-models and outline a completeness result for its positive implicational fragment. I then sketch a cyclic extension, M-Logic₁, that internalises temporal and cosmological rotation and connects the logical operators to the rotational-square equivalence (RSE) machinery developed in Mazayi Mandombe.
The article ends by positioning this logical layer relative to higher structures such as Mandombe Geometric Algebra and its applications in reservoir computing and materials science, where the same generators are already used as operators on high-dimensional state spaces. The goal is not to imitate existing Western logics but to articulate a coherent, testable African axiomatic framework that can serve as a native base for formal reasoning, computation and epistemology.
1.
Neurocognitive Effects of Mandombe Writing Practice: A Cross-Sectional Study
No full textTitle
From Grades to Phases: Learning Trajectories in Pilot Mandombe Nsandas of Kinshasa (2019–2023)
Ntima et al.
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Abstract
This study examines how a pilot implementation of the new official Mandombe pedagogy alters the way learning trajectories should be described and assessed in Congolese primary schooling. We analyse longitudinal records from 2019–2023 in a subset of CENA’s Nsandas in Kinshasa that were designated as trial sites for the updated MEN-D curriculum and compare them with neighbouring schools following the standard national programme. The work tests, in a limited but concrete way, Nsiangani’s (2014) hypothesis that colonial age-grade assessment logic misrepresents the progress of children educated through indigenous symbolic systems, and that alternative phase-based units become necessary once Mandombe literacy is the base script.
For pilot Nsanda learners we reconstructed trajectories in two formats: (a) the conventional grade-per-year model (age, repetition, subject marks) and (b) a four-phase model derived from the official Mandombe pedagogy: Symbolic control (S), Geometric fluency (G), Transfer to mathematics and science (T), and Project/collective application (P). Each learner-year was independently coded to the highest phase consistently evidenced that year. For comparison schools we described trajectories in grade units only and explored whether an analogous phase coding was workable.
Under standard age-grade logic, pilot Nsanda trajectories appear irregular: reduced overage, frequent multi-grade promotion, and abrupt jumps in mathematics, literacy and project work. When the same data are replotted in phase units, a more coherent pattern emerges: many learners spend an extended period consolidating Mandombe symbolism (S), followed by faster movement through G, T and P, during which cross-domain gains cluster in a few years rather than spreading evenly across the cycle. Comparison schools show slower, more linear grade progression, higher overage, and fewer clustered leaps; attempts to apply the S–P phase rubric there proved unstable and conceptually forced.
We do not claim that all Nsandas behave identically, that pilot centres are universally superior, or that grades should be abolished. Our more modest conclusion is that in the Nsandas piloting the official Mandombe pedagogy, the conventional grade-per-year unit ceases to be the most informative descriptor of learning. A phase-based assessment logic, anchored in the internal structure of the curriculum, captures their trajectories more accurately and avoids misclassifying rapid, structurally organised progress as “irregular.” The protocol is simple and replicable so that other centres—including non-pilot Nsandas—can test whether similar phase signatures appear in their own data.
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1. Introduction
1.1 Age-graded schooling as an industrial technology
The age-graded classroom, now taken for granted worldwide, is a relatively recent European invention. Until the late 18th century, most European schools were mixed-age, often organised in one room where older children informally assisted younger ones. Age-segregated grades emerged in German states and Prussia as part of wider reforms that linked mass schooling to state-building, military discipline and later to industrial needs: the efficient production of punctual, standardised workers and citizens.
As industrialisation advanced, age-graded, subject-segmented schools spread across Western Europe and North America, often displacing older monitorial or community-based models. European empires then exported this organisational form to their colonies, where it served both as a symbol of “modernity” and as an instrument for producing a disciplined, low-autonomy workforce. In the Congo, the colonial school was explicitly designed around these logics, with indigenous languages and symbolic systems displaced in favour of French and imported curricula. The age-grade grid thus arrived not as a neutral pedagogical innovation, but as part of a broader industrial-colonial package.
1.2 Why this matters for Mandombe
The MEN-D Mandombe programme re-centres an indigenous script as the primary literacy and cognitive scaffold. In the new official pedagogy, letters are geometric objects; reading and writing involve mastery of rotation, symmetry and branch logic; and these structures are progressively extended to mathematics, science and collective projects. In such a curriculum, the unit that organises content and expectations is no longer simply “one grade per year” but the learner’s position in a series of symbolic-cognitive phases.
Nsiangani (2014) argued that evaluating such programmes solely through the inherited age-grade logic risks systematic distortion. Where a curriculum is designed around phases (long installation of a powerful symbolic system, then rapid cross-domain leverage), an assessment grid that assumes linear progression can misclassify successful trajectories as “irregular,” “unstable” or even “suspect.” This concern is not theoretical: pilot Nsandas were often asked by inspectors to explain why some learners “skipped” grades or completed cycles “too quickly,” as if compression were evidence of manipulation rather than a design feature of the pedagogy.
1.3 Focus of this study
This paper concentrates on a subset of Nsandas in Kinshasa that were officially designated as pilot sites for the updated Mandombe pedagogy and assessment tools. Other Nsandas continued with earlier variants of the programme or hybrid models; we do not assume their trajectories match those described here.
Using only routine records from 2019–2023, we ask three questions:
1. How do learners in pilot Nsandas appear when described purely through the colonial-industrial age-grade logic (age, grade, repetition, annual marks)?
2. Can the same data be re-described through a small set of curriculum-anchored learning phases that better reflect the internal structure of the official Mandombe pedagogy?
3. Do these phase-based descriptions differ in systematic ways from trajectories observed in neighbouring non-Mandombe schools that operate entirely within the inherited age-grade model?
The aim is modest and empirical: to see whether the choice of assessment unit (grade vs phase) materially alters how the pilot centres’ work is perceived and whether a phase logic is operationally usable without heroic data requirements.
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2. Conceptual framework
2.1 Colonial age-grade logic revisited
Age-grading combines three elements: chronological age, the notion of a fixed curriculum slice per year, and promotion rules that make the grade the primary indicator of progress. Historians link its consolidation to 18th–19th century German/Prussian reforms and to 19th-century industrial rationalisation, where factories and bureaucracies required cohorts of workers trained to similar specifications at each step.
In African colonies, age-graded schools were introduced as part of a “civilising” mission, but they also served labour and administrative needs: they produced clerks, interpreters and low-level technicians who were literate in the coloniser’s language and accustomed to hierarchical obedience. When independence came, many countries, including the DRC, retained this model with only limited adaptation. The age-grade ladder thus remains not only a technical device but a historical trace of industrial-colonial priorities.
2.2 Phases in the official Mandombe pedagogy
The new Mandombe pedagogy, as validated by the DRC Ministries of Education and of Higher Education & Scientific Research, structures learning around overlapping phases rather than calendar years. For this study, and in consultation with trainers, we summarise four observable phases:
S – Symbolic control: secure decoding and production of basic Mandombe units, with attention to mvuala, branches, and orientation; frequent teacher scaffolding.
G – Geometric fluency: spontaneous manipulation of rotations and mirrorings; use of Mandombe forms in games and self-initiated drawings; internal assessments at mastery level for geometric tasks.
T – Transfer to maths/science: explicit use of Mandombe structures to reason about number, operations and simple physical relations (e.g., branch-based grouping, symmetry in equations).
P – Project/collective application: integration of Mandombe and mathematics in multi-step group projects; documented initiative, explanation to peers, and problem-solving.
The phases are not tied to age; a late-starting 11-year-old and a 7-year-old may both be in Phase S, and the older learner may move through G/T/P faster once symbolic control is achieved.
2.3 Hypotheses
We formulate three cautious hypotheses for the pilot Nsandas:
H1 – Descriptive mismatch. When plotted purely in age-grade terms, pilot Nsanda trajectories will appear irregular (compressed cycles, multi-grade promotion, non-linear marks).
H2 – Phase coherence. Recoding the same data in S–P phases will reveal more regular trajectories (longer S, then faster G/T/P) with cross-domain gains clustering around phase transitions.
H3 – Programme specificity. Attempts to apply the S–P rubric to neighbouring non-Mandombe schools, which follow the inherited industrial age-grade model without Mandombe, will prove less reliable and less informative, indicating that the phase logic is anchored in the Mandombe pedagogy rather than in generic schooling.
If any of these fail—for instance, if grade-logic already describes pilot Nsanda trajectories well, or if phase coding is noisy and uninformative—then the case for revising assessment logic weakens.
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3. Method
3.1 Setting: pilot Nsandas and comparison schools
The study covers several Nsandas in Kinshasa formally designated by the MEN-D steering committee as pilot sites for the new official Mandombe pedagogy and internal assessment tools. These centres applied the full maternal-language + Mandombe curriculum from early primary and received additional supervision and documentation support.
For comparison, we selected nearby public or low-fee private schools using the standard national curriculum in French and Latin script, with conventional age-graded classes and no Mandombe instruction. These schools represent the industrial-colonial model in its current Congolese form.
3.2 Participants and inclusion
Within pilot Nsandas and comparison schools, we included learners who:
had at least three consecutive learner-years recorded between 2019 and 2023;
remained in the same school during that interval;
had complete annual records (age, grade, core subject marks, teacher comments).
This yielded several hundred learner-years across sites. The sample is thus institutionally focused (on centres), not nationally representative.
3.3 Data and coding
For each learner-year, we extracted:
Administrative data: age, official grade, promotion/repetition, years over official age for grade;
Academic data: annual marks in language(s), mathematics, science and social studies;
Internal Mandombe data (pilot Nsandas only): scores on existing Mandombe mastery checks;
Teacher comments: qualitative notes on autonomy, project participation and difficulties.
3.3.1 Phase assignment in pilot Nsandas
Using curriculum documents and teacher interviews, we built an explicit rubric for assigning each learner-year to S, G, T or P based on documented evidence (work samples, assessments, comments). Two independent coders, blind to later outcomes, applied the rubric; inter-rater agreement was checked and disagreements resolved by consensus. Only the highest phase consistently supported by multiple indicators in that year was assigned.
3.3.2 Exploratory phase coding in comparison schools
To test H3, we attempted to apply an adapted version of the rubric to comparison schools, substituting generic indicators (e.g., use of diagrams in maths) where explicit Mandombe criteria were absent. This exercise was explicitly labelled exploratory; the expectation was that the rubric would map poorly onto data from schools that do not organise learning around the same symbolic phases.
3.4 Analytic strategy
Analyses proceeded in three steps:
1. Grade-logic description for pilot Nsandas and comparison schools: age-grade placement, overage, repetition, time to complete cycles, and mean marks by grade.
2. Phase-logic description for pilot Nsandas: time spent in each phase, sequences of S–P over calendar years, and alignment of phase transitions with changes in marks and comments.
3. Feasibility and stability of phase coding in comparison schools: agreement between coders, interpretability, and relation (or lack thereof) to changes in marks.
Given the institutional sample and reliance on routine data, the emphasis was on robust descriptive patterns rather than on fine p-values.
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4. Results (summary)
4.1 Pilot Nsandas in grade units
Viewed purely through age-grade metrics, pilot Nsanda learners displayed:
substantially lower overage than peers in comparison schools;
compressed cycles, with some learners promoted across more than one grade over the period;
non-linear mark trajectories, with marked jumps in mathematics and general average over one or two years.
From a conventional inspector’s perspective, these patterns can appear suspicious or unstable, as they depart from industrial expectations of steady, grade-by-grade progress.
4.2 Pilot Nsandas in phase units
Replotting the same learners in S–P phase units produced more interpretable trajectories:
most spent a considerable initial period in Phase S, where grades changed slowly and marks rose modestly;
once evidence supported transition into Phase G, gains in mathematics and general reasoning often accelerated;
for learners reaching T and P, cross-domain gains (mathematics, science, project work) clustered within a short calendar window, explaining multi-grade promotions.
The apparent “irregularity” under grade logic thus corresponded to phase transitions designed into the Mandombe pedagogy: a long investment in symbolic installation, then rapid leverage.
4.3 Comparison schools
Comparison schools, operating under the inherited age-grade model without Mandombe, showed:
higher and more persistent overage;
fewer or no multi-grade promotions;
gradual, incremental improvements in marks without sharp clustering.
Attempts to apply the S–P rubric in these schools yielded lower coder agreement and ambiguous trajectories; phase labels did not align consistently with shifts in marks or comments. This supports the view that the phase framework is not a generic cognitive ladder but is specifically tied to the structure of the Mandombe curriculum.
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5. Discussion
The findings from these pilot Nsandas suggest that once an indigenous symbolic system like Mandombe becomes the backbone of teaching, the inherited industrial-colonial age-grade logic no longer provides the most faithful description of learning. A phase-based logic, grounded in the official Mandombe pedagogy, aligns better with observed trajectories and helps avoid misreading rapid, structured progress as administrative irregularity.
We do not infer that all Nsandas in the DRC share this pattern; only a subset were piloting the new pedagogy during 2019–2023, and our data are limited to those centres. Nor do we treat phase coding as infallible: it remains partly interpretive and requires prospective refinement. The study nevertheless shows that with only routine school records, it is possible to operationalise an alternative assessment unit that respects the internal design of an indigenous curriculum and to put it into empirical conversation with the age-graded model inherited from European industrial history.
Future work should replicate the protocol in non-pilot Nsandas and other provinces, refine phase indicators, and examine how phase-based trajectories relate to external benchmarks such as national examinations and later academic or vocational success.
TitleFrom Grades to Phases: Learning Trajectories in Pilot Mandombe Nsandas of Kinshasa (2019–2023)Ntima et al.---AbstractThis study examines how a pilot implementation of the new official Mandombe pedagogy alters the way learning trajectories should be described and assessed in Congolese primary schooling. We analyse longitudinal records from 2019–2023 in a subset of CENA’s Nsandas in Kinshasa that were designated as trial sites for the updated MEN-D curriculum and compare them with neighbouring schools following the standard national programme. The work tests, in a limited but concrete way, Nsiangani’s (2014) hypothesis that colonial age-grade assessment logic misrepresents the progress of children educated through indigenous symbolic systems, and that alternative phase-based units become necessary once Mandombe literacy is the base script.For pilot Nsanda learners we reconstructed trajectories in two formats: (a) the conventional grade-per-year model (age, repetition, subject marks) and (b) a four-phase model derived from the official Mandombe pedagogy: Symbolic control (S), Geometric fluency (G), Transfer to mathematics and science (T), and Project/collective application (P). Each learner-year was independently coded to the highest phase consistently evidenced that year. For comparison schools we described trajectories in grade units only and explored whether an analogous phase coding was workable.Under standard age-grade logic, pilot Nsanda trajectories appear irregular: reduced overage, frequent multi-grade promotion, and abrupt jumps in mathematics, literacy and project work. When the same data are replotted in phase units, a more coherent pattern emerges: many learners spend an extended period consolidating Mandombe symbolism (S), followed by faster movement through G, T and P, during which cross-domain gains cluster in a few years rather than spreading evenly across the cycle. Comparison schools show slower, more linear grade progression, higher overage, and fewer clustered leaps; attempts to apply the S–P phase rubric there proved unstable and conceptually forced.We do not claim that all Nsandas behave identically, that pilot centres are universally superior, or that grades should be abolished. Our more modest conclusion is that in the Nsandas piloting the official Mandombe pedagogy, the conventional grade-per-year unit ceases to be the most informative descriptor of learning. A phase-based assessment logic, anchored in the internal structure of the curriculum, captures their trajectories more accurately and avoids misclassifying rapid, structurally organised progress as “irregular.” The protocol is simple and replicable so that other centres—including non-pilot Nsandas—can test whether similar phase signatures appear in their own data.---1. Introduction1.1 Age-graded schooling as an industrial technologyThe age-graded classroom, now taken for granted worldwide, is a relatively recent European invention. Until the late 18th century, most European schools were mixed-age, often organised in one room where older children informally assisted younger ones. Age-segregated grades emerged in German states and Prussia as part of wider reforms that linked mass schooling to state-building, military discipline and later to industrial needs: the efficient production of punctual, standardised workers and citizens.As industrialisation advanced, age-graded, subject-segmented schools spread across Western Europe and North America, often displacing older monitorial or community-based models. European empires then exported this organisational form to their colonies, where it served both as a symbol of “modernity” and as an instrument for producing a disciplined, low-autonomy workforce. In the Congo, the colonial school was explicitly designed around these logics, with indigenous languages and symbolic systems displaced in favour of French and imported curricula. The age-grade grid thus arrived not as a neutral pedagogical innovation, but as part of a broader industrial-colonial package.1.2 Why this matters for MandombeThe MEN-D Mandombe programme re-centres an indigenous script as the primary literacy and cognitive scaffold. In the new official pedagogy, letters are geometric objects; reading and writing involve mastery of rotation, symmetry and branch logic; and these structures are progressively extended to mathematics, science and collective projects. In such a curriculum, the unit that organises content and expectations is no longer simply “one grade per year” but the learner’s position in a series of symbolic-cognitive phases.Nsiangani (2014) argued that evaluating such programmes solely through the inherited age-grade logic risks systematic distortion. Where a curriculum is designed around phases (long installation of a powerful symbolic system, then rapid cross-domain leverage), an assessment grid that assumes linear progression can misclassify successful trajectories as “irregular,” “unstable” or even “suspect.” This concern is not theoretical: pilot Nsandas were often asked by inspectors to explain why some learners “skipped” grades or completed cycles “too quickly,” as if compression were evidence of manipulation rather than a design feature of the pedagogy.1.3 Focus of this studyThis paper concentrates on a subset of Nsandas in Kinshasa that were officially designated as pilot sites for the updated Mandombe pedagogy and assessment tools. Other Nsandas continued with earlier variants of the programme or hybrid models; we do not assume their trajectories match those described here.Using only routine records from 2019–2023, we ask three questions:1. How do l
Spatial Cognition and Healing Geometry: Neuropsychological Insights from Symbolic Design
No full textThis study investigates how exposure to recursive geometric structures inspired by Mandombe activates neural patterns associated with emotional regulation and visual-spatial coherence. EEG mapping and behavioral scales (n = 80) helped researchers observe improved prefrontal activation coherence and reduced limbic hyperactivity in designed environments, suggesting symbolic balance. The findings support the therapeutic potential of indigenous geometry as a neuropsychological stimulus for stress recovery and self-regulation, in line with research.References:
Nsiangani, K.M. (2014). From Singini to Spacetime.
RAEST (2021). Corpus Fondateur du Département MEN-D.
Wabeladio, P. (1984). Méthodologie du Mandombe.
Akbar, N. (1996). Know Thyself.
Fanon, F. (1961). Les Damnés de la Terre.
Nsiangani, K.M. (2023). The Colonized Mind.
Amos Wilson (1998). Blueprint for Black Power.
Miezi Home Designs (2022). Psychodesign Pilot Phase Report.
MEN-D Ethical Framework (2025).
RAEST (2022). Totalitarianism and Mental Health
Color, Light, and Rhythm in Healing Architecture: Toward an African Neuroaesthetics
No full textThis paper explores light and rhythmic structure in psychodesigned spaces. By analyzing 12 clinics and community centers, it finds that rhythmic chromatic transitions and axial lighting (based on Singini symmetry) reduce anxiety and dissociation symptoms among patients. The authors define “Neuroaesthetic Synchrony” — the alignment of sensory geometry with emotional tempo — as a clinical design principle.References: Nsiangani (2014, 2023); Wabeladio (1984); Akbar (1996); Fanon (1961); MEN-D (2025); Miezi Home Designs Pilot Reports; RAEST (2022, 2024); Amos Wilson (1998); CENA (2021)
NSIKU – NZOLA – BISALU as an Afro-Clinical Ethics Framework: Repairing Medical Neglect in Africa and the Diaspora under Neo-Colonial Psycho-Pathologie
No full textThis foundational report establishes the Afro-Clinical Ethics Triad — Nsiku (duty clarity), Nzola (relational empathy), and Bisalu (inventive remediation) — as enforceable clinical governance categories for health systems in Africa and the diaspora. Medical neglect toward African populations is reframed not as underdevelopment, but as a predictable phenotype of neo-colonial psychological architectures. Building on prior diagnosis of Dark Tetrad selection pressures in post-colonial governance (Nsiangani 2014, 2016, 2022), the document demonstrates how narcissism, Machiavellianism, psychopathy and sadism manifest as bedside neglect, procedural fetishism, humiliation of poor patients, and technical indifference. The paper introduces Nsiku, Nzola and Bisalu as normative axes for national clinical licensing, bedside auditing, psychometric screening, disciplinary authority, and diaspora hospital accountability. Annexes define measurable indicators for these ethics constructs and provide calibration instructions for ministries and quality agencies. Additionally, a probabilistic harm model is presented — a logistic predictive transformation linking Dark Tetrad scores, institutional impunity signals, and Nsiku/Nzola/Bisalu operational audits to expected risk of preventable harm. Thresholds (Green / Amber / Red) are defined to support decision triggers for intervention. This is a regulatory architecture — not only ethical theory. Clinical sovereignty is defined as an operational capacity of African nations to select, screen, discipline and promote clinicians who protect life as a sovereign function. This report positions ethics as infrastructure, not decoration. It establishes a governance pathway to collapse Dark Tetrad selection pressure and restore care as civilizational identity. The Nsiku–Nzola–Bisalu triad is therefore proposed as the normative backbone of sovereign Afro-Clinical Ethics for the next phase of African medical systems
Cognitive Resonance Between Mandombe Geometry and Human Neural Networks
No full textThis research focuses on testing the hypothesis that the symmetrical geometry of Mandombe resonates with the structure of human neural pathways involved in pattern recognition. Using EEG signal mapping and geometric pattern stimulation, the study observes specific coherence peaks in the alpha–beta range. Results suggest that symbolic exposure to Mandombe enhances visual-spatial integration, reinforcing the neuro-epistemic claims made in The Colonized Mind (2025).References: Nsiangani K.M. (2025) The Colonized Mind; Wabeladio P. (1984) Méthodologie de l’enseignement du Mandombe
Developing African Curriculum through Symbolic Literacy: The Mandombe Case
No full textTitle
From Grades to Phases: Learning Trajectories in Pilot Mandombe Nsandas of Kinshasa (2019–2023)
Nzaza et al.
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Abstract
This study examines how a pilot implementation of the new official Mandombe pedagogy alters the way learning trajectories should be described and assessed in Congolese primary schooling. We analyse longitudinal records from 2019–2023 in a subset of CENA’s Nsandas in Kinshasa that were designated as trial sites for the updated MEN-D curriculum and compare them with neighbouring schools following the standard national programme. The work tests, in a limited but concrete way, Nsiangani’s (2014) hypothesis that colonial age-grade assessment logic misrepresents the progress of children educated through indigenous symbolic systems, and that alternative phase-based units become necessary once Mandombe literacy is the base script.
For pilot Nsanda learners we reconstructed trajectories in two formats: (a) the conventional grade-per-year model (age, repetition, subject marks) and (b) a four-phase model derived from the official Mandombe pedagogy: Symbolic control (S), Geometric fluency (G), Transfer to mathematics and science (T), and Project/collective application (P). Each learner-year was independently coded to the highest phase consistently evidenced that year. For comparison schools we described trajectories in grade units only and explored whether an analogous phase coding was workable.
Under standard age-grade logic, pilot Nsanda trajectories appear irregular: reduced overage, frequent multi-grade promotion, and abrupt jumps in mathematics, literacy and project work. When the same data are replotted in phase units, a more coherent pattern emerges: many learners spend an extended period consolidating Mandombe symbolism (S), followed by faster movement through G, T and P, during which cross-domain gains cluster in a few years rather than spreading evenly across the cycle. Comparison schools show slower, more linear grade progression, higher overage, and fewer clustered leaps; attempts to apply the S–P phase rubric there proved unstable and conceptually forced.
We do not claim that all Nsandas behave identically, that pilot centres are universally superior, or that grades should be abolished. Our more modest conclusion is that in the Nsandas piloting the official Mandombe pedagogy, the conventional grade-per-year unit ceases to be the most informative descriptor of learning. A phase-based assessment logic, anchored in the internal structure of the curriculum, captures their trajectories more accurately and avoids misclassifying rapid, structurally organised progress as “irregular.” The protocol is simple and replicable so that other centres—including non-pilot Nsandas—can test whether similar phase signatures appear in their own data.
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1. Introduction
1.1 Age-graded schooling as an industrial technology
The age-graded classroom, now taken for granted worldwide, is a relatively recent European invention. Until the late 18th century, most European schools were mixed-age, often organised in one room where older children informally assisted younger ones. Age-segregated grades emerged in German states and Prussia as part of wider reforms that linked mass schooling to state-building, military discipline and later to industrial needs: the efficient production of punctual, standardised workers and citizens.
As industrialisation advanced, age-graded, subject-segmented schools spread across Western Europe and North America, often displacing older monitorial or community-based models. European empires then exported this organisational form to their colonies, where it served both as a symbol of “modernity” and as an instrument for producing a disciplined, low-autonomy workforce. In the Congo, the colonial school was explicitly designed around these logics, with indigenous languages and symbolic systems displaced in favour of French and imported curricula. The age-grade grid thus arrived not as a neutral pedagogical innovation, but as part of a broader industrial-colonial package.
1.2 Why this matters for Mandombe
The MEN-D Mandombe programme re-centres an indigenous script as the primary literacy and cognitive scaffold. In the new official pedagogy, letters are geometric objects; reading and writing involve mastery of rotation, symmetry and branch logic; and these structures are progressively extended to mathematics, science and collective projects. In such a curriculum, the unit that organises content and expectations is no longer simply “one grade per year” but the learner’s position in a series of symbolic-cognitive phases.
Nsiangani (2014) argued that evaluating such programmes solely through the inherited age-grade logic risks systematic distortion. Where a curriculum is designed around phases (long installation of a powerful symbolic system, then rapid cross-domain leverage), an assessment grid that assumes linear progression can misclassify successful trajectories as “irregular,” “unstable” or even “suspect.” This concern is not theoretical: pilot Nsandas were often asked by inspectors to explain why some learners “skipped” grades or completed cycles “too quickly,” as if compression were evidence of manipulation rather than a design feature of the pedagogy.
1.3 Focus of this study
This paper concentrates on a subset of Nsandas in Kinshasa that were officially designated as pilot sites for the updated Mandombe pedagogy and assessment tools. Other Nsandas continued with earlier variants of the programme or hybrid models; we do not assume their trajectories match those described here.
Using only routine records from 2019–2023, we ask three questions:
1. How do learners in pilot Nsandas appear when described purely through the colonial-industrial age-grade logic (age, grade, repetition, annual marks)?
2. Can the same data be re-described through a small set of curriculum-anchored learning phases that better reflect the internal structure of the official Mandombe pedagogy?
3. Do these phase-based descriptions differ in systematic ways from trajectories observed in neighbouring non-Mandombe schools that operate entirely within the inherited age-grade model?
The aim is modest and empirical: to see whether the choice of assessment unit (grade vs phase) materially alters how the pilot centres’ work is perceived and whether a phase logic is operationally usable without heroic data requirements.
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2. Conceptual framework
2.1 Colonial age-grade logic revisited
Age-grading combines three elements: chronological age, the notion of a fixed curriculum slice per year, and promotion rules that make the grade the primary indicator of progress. Historians link its consolidation to 18th–19th century German/Prussian reforms and to 19th-century industrial rationalisation, where factories and bureaucracies required cohorts of workers trained to similar specifications at each step.
In African colonies, age-graded schools were introduced as part of a “civilising” mission, but they also served labour and administrative needs: they produced clerks, interpreters and low-level technicians who were literate in the coloniser’s language and accustomed to hierarchical obedience. When independence came, many countries, including the DRC, retained this model with only limited adaptation. The age-grade ladder thus remains not only a technical device but a historical trace of industrial-colonial priorities.
2.2 Phases in the official Mandombe pedagogy
The new Mandombe pedagogy, as validated by the DRC Ministries of Education and of Higher Education & Scientific Research, structures learning around overlapping phases rather than calendar years. For this study, and in consultation with trainers, we summarise four observable phases:
S – Symbolic control: secure decoding and production of basic Mandombe units, with attention to mvuala, branches, and orientation; frequent teacher scaffolding.
G – Geometric fluency: spontaneous manipulation of rotations and mirrorings; use of Mandombe forms in games and self-initiated drawings; internal assessments at mastery level for geometric tasks.
T – Transfer to maths/science: explicit use of Mandombe structures to reason about number, operations and simple physical relations (e.g., branch-based grouping, symmetry in equations).
P – Project/collective application: integration of Mandombe and mathematics in multi-step group projects; documented initiative, explanation to peers, and problem-solving.
The phases are not tied to age; a late-starting 11-year-old and a 7-year-old may both be in Phase S, and the older learner may move through G/T/P faster once symbolic control is achieved.
2.3 Hypotheses
We formulate three cautious hypotheses for the pilot Nsandas:
H1 – Descriptive mismatch. When plotted purely in age-grade terms, pilot Nsanda trajectories will appear irregular (compressed cycles, multi-grade promotion, non-linear marks).
H2 – Phase coherence. Recoding the same data in S–P phases will reveal more regular trajectories (longer S, then faster G/T/P) with cross-domain gains clustering around phase transitions.
H3 – Programme specificity. Attempts to apply the S–P rubric to neighbouring non-Mandombe schools, which follow the inherited industrial age-grade model without Mandombe, will prove less reliable and less informative, indicating that the phase logic is anchored in the Mandombe pedagogy rather than in generic schooling.
If any of these fail—for instance, if grade-logic already describes pilot Nsanda trajectories well, or if phase coding is noisy and uninformative—then the case for revising assessment logic weakens.
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3. Method
3.1 Setting: pilot Nsandas and comparison schools
The study covers several Nsandas in Kinshasa formally designated by the MEN-D steering committee as pilot sites for the new official Mandombe pedagogy and internal assessment tools. These centres applied the full maternal-language + Mandombe curriculum from early primary and received additional supervision and documentation support.
For comparison, we selected nearby public or low-fee private schools using the standard national curriculum in French and Latin script, with conventional age-graded classes and no Mandombe instruction. These schools represent the industrial-colonial model in its current Congolese form.
3.2 Participants and inclusion
Within pilot Nsandas and comparison schools, we included learners who:
had at least three consecutive learner-years recorded between 2019 and 2023;
remained in the same school during that interval;
had complete annual records (age, grade, core subject marks, teacher comments).
This yielded several hundred learner-years across sites. The sample is thus institutionally focused (on centres), not nationally representative.
3.3 Data and coding
For each learner-year, we extracted:
Administrative data: age, official grade, promotion/repetition, years over official age for grade;
Academic data: annual marks in language(s), mathematics, science and social studies;
Internal Mandombe data (pilot Nsandas only): scores on existing Mandombe mastery checks;
Teacher comments: qualitative notes on autonomy, project participation and difficulties.
3.3.1 Phase assignment in pilot Nsandas
Using curriculum documents and teacher interviews, we built an explicit rubric for assigning each learner-year to S, G, T or P based on documented evidence (work samples, assessments, comments). Two independent coders, blind to later outcomes, applied the rubric; inter-rater agreement was checked and disagreements resolved by consensus. Only the highest phase consistently supported by multiple indicators in that year was assigned.
3.3.2 Exploratory phase coding in comparison schools
To test H3, we attempted to apply an adapted version of the rubric to comparison schools, substituting generic indicators (e.g., use of diagrams in maths) where explicit Mandombe criteria were absent. This exercise was explicitly labelled exploratory; the expectation was that the rubric would map poorly onto data from schools that do not organise learning around the same symbolic phases.
3.4 Analytic strategy
Analyses proceeded in three steps:
1. Grade-logic description for pilot Nsandas and comparison schools: age-grade placement, overage, repetition, time to complete cycles, and mean marks by grade.
2. Phase-logic description for pilot Nsandas: time spent in each phase, sequences of S–P over calendar years, and alignment of phase transitions with changes in marks and comments.
3. Feasibility and stability of phase coding in comparison schools: agreement between coders, interpretability, and relation (or lack thereof) to changes in marks.
Given the institutional sample and reliance on routine data, the emphasis was on robust descriptive patterns rather than on fine p-values.
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4. Results (summary)
4.1 Pilot Nsandas in grade units
Viewed purely through age-grade metrics, pilot Nsanda learners displayed:
substantially lower overage than peers in comparison schools;
compressed cycles, with some learners promoted across more than one grade over the period;
non-linear mark trajectories, with marked jumps in mathematics and general average over one or two years.
From a conventional inspector’s perspective, these patterns can appear suspicious or unstable, as they depart from industrial expectations of steady, grade-by-grade progress.
4.2 Pilot Nsandas in phase units
Replotting the same learners in S–P phase units produced more interpretable trajectories:
most spent a considerable initial period in Phase S, where grades changed slowly and marks rose modestly;
once evidence supported transition into Phase G, gains in mathematics and general reasoning often accelerated;
for learners reaching T and P, cross-domain gains (mathematics, science, project work) clustered within a short calendar window, explaining multi-grade promotions.
The apparent “irregularity” under grade logic thus corresponded to phase transitions designed into the Mandombe pedagogy: a long investment in symbolic installation, then rapid leverage.
4.3 Comparison schools
Comparison schools, operating under the inherited age-grade model without Mandombe, showed:
higher and more persistent overage;
fewer or no multi-grade promotions;
gradual, incremental improvements in marks without sharp clustering.
Attempts to apply the S–P rubric in these schools yielded lower coder agreement and ambiguous trajectories; phase labels did not align consistently with shifts in marks or comments. This supports the view that the phase framework is not a generic cognitive ladder but is specifically tied to the structure of the Mandombe curriculum.
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5. Discussion
The findings from these pilot Nsandas suggest that once an indigenous symbolic system like Mandombe becomes the backbone of teaching, the inherited industrial-colonial age-grade logic no longer provides the most faithful description of learning. A phase-based logic, grounded in the official Mandombe pedagogy, aligns better with observed trajectories and helps avoid misreading rapid, structured progress as administrative irregularity.
We do not infer that all Nsandas in the DRC share this pattern; only a subset were piloting the new pedagogy during 2019–2023, and our data are limited to those centres. Nor do we treat phase coding as infallible: it remains partly interpretive and requires prospective refinement. The study nevertheless shows that with only routine school records, it is possible to operationalise an alternative assessment unit that respects the internal design of an indigenous curriculum and to put it into empirical conversation with the age-graded model inherited from European industrial history.
Future work should replicate the protocol in non-pilot Nsandas and other provinces, refine phase indicators, and examine how phase-based trajectories relate to external benchmarks such as national examinations and later academic or vocational success.TitleFrom Grades to Phases: Learning Trajectories in Pilot Mandombe Nsandas of Kinshasa (2019–2023)Nzaza et al.---AbstractThis study examines how a pilot implementation of the new official Mandombe pedagogy alters the way learning trajectories should be described and assessed in Congolese primary schooling. We analyse longitudinal records from 2019–2023 in a subset of CENA’s Nsandas in Kinshasa that were designated as trial sites for the updated MEN-D curriculum and compare them with neighbouring schools following the standard national programme. The work tests, in a limited but concrete way, Nsiangani’s (2014) hypothesis that colonial age-grade assessment logic misrepresents the progress of children educated through indigenous symbolic systems, and that alternative phase-based units become necessary once Mandombe literacy is the base script.For pilot Nsanda learners we reconstructed trajectories in two formats: (a) the conventional grade-per-year model (age, repetition, subject marks) and (b) a four-phase model derived from the official Mandombe pedagogy: Symbolic control (S), Geometric fluency (G), Transfer to mathematics and science (T), and Project/collective application (P). Each learner-year was independently coded to the highest phase consistently evidenced that year. For comparison schools we described trajectories in grade units only and explored whether an analogous phase coding was workable.Under standard age-grade logic, pilot Nsanda trajectories appear irregular: reduced overage, frequent multi-grade promotion, and abrupt jumps in mathematics, literacy and project work. When the same data are replotted in phase units, a more coherent pattern emerges: many learners spend an extended period consolidating Mandombe symbolism (S), followed by faster movement through G, T and P, during which cross-domain gains cluster in a few years rather than spreading evenly across the cycle. Comparison schools show slower, more linear grade progression, higher overage, and fewer clustered leaps; attempts to apply the S–P phase rubric there proved unstable and conceptually forced.We do not claim that all Nsandas behave identically, that pilot centres are universally superior, or that grades should be abolished. Our more modest conclusion is that in the Nsandas piloting the official Mandombe pedagogy, the conventional grade-per-year unit ceases to be the most informative descriptor of learning. A phase-based assessment logic, anchored in the internal structure of the curriculum, captures their trajectories more accurately and avoids misclassifying rapid, structurally organised progress as “irregular.” The protocol is simple and replicable so that other centres—including non-pilot Nsandas—can test whether similar phase signatures appear in their own data.---1. Introduction1.1 Age-graded schooling as an industrial technologyThe age-graded classroom, now taken for granted worldwide, is a relatively recent European invention. Until the late 18th century, most European schools were mixed-age, often organised in one room where older children informally assisted younger ones. Age-segregated grades emerged in German states and Prussia as part of wider reforms that linked mass schooling to state-building, military discipline and later to industrial needs: the efficient production of punctual, standardised workers and citizens.As industrialisation advanced, age-graded, subject-segmented schools spread across Western Europe and North America, often displacing older monitorial or community-based models. European empires then exported this organisational form to their colonies, where it served both as a symbol of “modernity” and as an instrument for producing a disciplined, low-autonomy workforce. In the Congo, the colonial school was explicitly designed around these logics, with indigenous languages and symbolic systems displaced in favour of French and imported curricula. The age-grade grid thus arrived not as a neutral pedagogical innovation, but as part of a broader industrial-colonial package.1.2 Why this matters for MandombeThe MEN-D Mandombe programme re-centres an indigenous script as the primary literacy and cognitive scaffold. In the new official pedagogy, letters are geometric objects; reading and writing involve mastery of rotation, symmetry and branch logic; and these structures are progressively extended to mathematics, science and collective projects. In such a curriculum, the unit that organises content and expectations is no longer simply “one grade per year” but the learner’s position in a series of symbolic-cognitive phases.Nsiangani (2014) argued that evaluating such programmes solely through the inherited age-grade logic risks systematic distortion. Where a curriculum is designed around phases (long installation of a powerful symbolic system, then rapid cross-domain leverage), an assessment grid that assumes linear progression can misclassify successful trajectories as “irregular,” “unstable” or even “suspect.” This concern is not theoretical: pilot Nsandas were often asked by inspectors to explain why some learners “skipped” grades or completed cycles “too quickly,” as if compression were evidence of manipulation rather than a design feature of the pedagogy.1.3 Focus of this studyThis paper concentrates on a subset of Nsandas in Kinshasa that were officially designated as pilot sites for the updated Mandombe pedagogy and assessment tools. Other Nsandas continued with earlier variants of the programme or hybrid models; we do not assume their trajectories match those described here.Using only routine records from 2019–2023, we ask three questions:1. How do learne
Ethical Dimensions of Symbolic Cognition: A Study on Responsibility and Collective Knowledge
No full textEthical Dimensions of Symbolic Cognition:
Mandombe as a Relational Geometric Backbone for Teaching Responsibility
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Abstract
We start from the hypothesis that Mandombe offers a relational geometric backbone which, when taught together with its traditional philosophy of interdependence, supports an ethical learning environment that a Latin-based script struggles to reproduce. In Mandombe, the base mvuala-shape is ambiguous and only becomes determinate when related to a kisimba whose orientation it also constrains; identity is thus resolved through mutually orienting relations rather than in isolation. We ask whether learners actually use this structure to think about relations and responsibility after only a brief introduction.
To test this, we ran a short, 3-hour module with novice learners in Kinshasa (N = 50), randomly assigned to a Mandombe condition or a Latin-based control. Both groups received the same mini-lesson on cooperation and responsibility; they differed only in the script they practiced (mvuala + kisimba vs a Latin letter and a boxed variant). At the end, all learners answered three neutral written questions comparing the two signs and imagining each as a person. Answers were coded for relational language and for explicit links between script structure and social or ethical meaning.
Mandombe learners more often described the lone mvuala as “not yet itself,” “missing something” or “unclear,” and used the addition of the kisimba to model support, belonging or shared responsibility. Latin learners, despite identical philosophical input, mostly gave literal or generic person descriptions and rarely grounded their answers in the visual structure of the signs. We interpret this as preliminary evidence that Mandombe’s geometry, aligned with its philosophy, provides a distinctive symbolic resource for teaching relational ethics. We also note an intriguing but unplanned contrast in how ambiguity and labelling were discussed, which we explicitly reserve for a separate, dedicated study.
(Note: the values in the Results are interpreted as examples of the expected pattern; despite the reasonable effect size, we did not aim to quantify the phenomenon but to detect it. We believe a more adapted dedicated protocol is needed to properly generalize. But that was not our aim here)
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1. Introduction
Ethical reasoning is usually studied through language, explicit rules and individual choices. Symbolic systems, and writing systems in particular, tend to be treated as neutral tools that simply carry content. Yet scripts and notations are part of the environment that trains attention, categories and relations. They make some structures easy to see and rehearse, and leave others invisible.
In African contexts, this matters. Many antisocial patterns are not only individual traits but structural outcomes: they emerge from environments that normalise domination, dehumanisation and rigid labelling. In the DSM-H framework and related work on the “colonised mind” and Dark Tetrad leadership, scripts, languages and institutional symbols are treated as part of the pathology or the cure. They can either rehearse extractive, one-sided relations or support relational, reciprocal personhood.
Mandombe, a geometric script developed in Central Africa, is unusual because its internal logic explicitly resonates with African philosophies of relational personhood. In everyday practice, it is taught not only as a way to write but as a visualisation of societal values: identity through relation, balance rather than isolation, cohesion rather than fragmentation. Children do not just hear this; they enact it each time they draw a mvuala, attach a kisimba, and watch meaning appear from a relation.
This paper addresses a simple but important question. We ask whether, after a short and controlled introduction, novice learners actually use Mandombe’s geometry to think about relations and responsibility in ways that a Latin-based script does not support, even when the same ethical story is told. We do not claim behavioural or clinical outcomes. We do not claim that geometry “causes” ethics. Our goal is more modest and more basic: to show that Mandombe offers a relational geometric backbone that learners can mobilise as an ethical metaphor almost immediately, and that this affordance is not matched by a structurally simpler Latin script under comparable conditions.
We situate this in a broader programme. If such a backbone exists and can be reliably activated, it strengthens the case for treating Mandombe as part of an ethical and cognitive architecture aligned with African concepts of personhood, and provides a mechanistic bridge toward later DSM-H research on long-term transfer and possible buffering against antisocial structural pathologies.
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2. Theoretical background
2.1 Mandombe geometry and relational identity
In Mandombe, the base mvuala-shape is ambiguous in isolation. As a pure shape it can correspond to one consonant or its 180° rotated counterpart. A child looking at the shape alone does not yet know “which” mvuala it is. Identity is resolved only when a kisimba (base frame) is attached. At the same time, the kisimba’s orientation is determined by the mvuala it defines.
Structurally:
mvuala-shape alone: underdetermined, ambiguous;
mvuala + kisimba: determinate consonant;
kisimba orientation: follows and reflects the mvuala.
The relation is mutual. The mvuala “needs” the kisimba for its identity, and the kisimba “takes its orientation” from the mvuala. Larger units are built by combining mvuala into mvuala mpamba, mvuala piluka and mvuala mpimpita, which gain stability and meaning when they meet other glyph classes. Identity is not an intrinsic property of isolated units. It is a relational resolution of ambiguity that appears when elements enter into structured relation.
Children practising Mandombe therefore spend time not only matching shapes to sounds, but enacting a logic of “alone / undefined” versus “with / clear,” of mutual orientation and stabilisation through combination. They see and reproduce, dozens of times per page, the idea that “what something is” depends on what it is with.
2.2 African philosophies of personhood
Afro-communitarian philosophies of personhood insist that a person is a person through other persons. Personhood is not a static attribute of an isolated individual but an achievement tied to participation, mutual recognition and responsibility in a community. In this view, it is incoherent to think of the self as a sealed, self-sufficient entity.
Relational personhood has ethical and ontological dimensions. Ethically, it foregrounds obligations and care: to be fully a person is to be responsible to others. Ontologically, it treats identity as emergent from webs of relation. These ideas sit uneasily with scripts and categories that are built for sharp, decontextualised labels and for ranking individuals in fixed, one-dimensional scales.
Mandombe, as taught in many centres, is explicitly linked to this relational ontology. Teachers often explain mvuala and kisimba using metaphors of family, groups, roles and support. A mvuala alone is presented as “not yet itself,” “not yet stable,” or “needing its kisimba.” Combinations are described as “cohesive units” that can carry meaning because they are balanced and in relation. The script is thus not only a code but a visual pedagogy of interdependence.
2.3 Symbolic affordances and ethical learning
We use the term ethical affordance to describe the ways in which a symbolic system makes certain ethical concepts easy or natural to express and rehearse. A script with a relational backbone, such as Mandombe, affords metaphors of support, mutual orientation and shared responsibility. A script based on atomic, context-free symbols affords quick labelling and categorisation.
We formulate two tiered hypotheses:
H₁ (structural): Because the mvuala-shape is ambiguous until attached to a kisimba whose orientation it constrains, Mandombe encodes identity as a relational resolution of ambiguity. Latin grapheme structure does not. This is a formal claim about the script, independent of any data.
H₂ (classroom): After a brief, balanced introduction in which both groups hear the same ethical story, learners working with Mandombe will more often use the structure of the script (alone vs with, ambiguous vs clarified, mutual orientation) to talk about relations and responsibility than learners working with a Latin-based script.
We deliberately leave clinical and long-term neuroplastic hypotheses (H₃) for future work. This paper focuses on H₂: classroom-level evidence that the relational backbone is not only present in theory but activated in novice practice.
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3. Method
3.1 Setting and participants
The study took place in two urban schools in Kinshasa. We recruited 50 learners (age range approx. 10–14) with no prior exposure to Mandombe. After consent procedures, learners were randomly assigned by classroom to one of two conditions:
Mandombe group (M): 25 learners
Latin group (L): 25 learners
Randomisation was at class level to respect school schedules; within each school, we matched classes by grade and general academic level as reported by the staff. But teachers did not have access to the questions (handed to students in envelopes and proctored by our skeptical reviewer as part of ATSS standards on separation of duties).
3.2 Design
The study consisted of a single 3-hour module during the school day, structured as:
1. Shared ethics mini-lesson (≈ 30 minutes)
2. Script introduction and practice (≈ 90 minutes)
3. Written task and short debrief (≈ 30–40 minutes)
Both groups received the same ethical content in part 1, framed in simple language around cooperation, promises, support and fairness. In part 2, they differed only in the script they practiced. Part 3 used identical written questions, with only the visuals changed.
3.3 Script introduction
3.3.1 Mandombe group
The M group learned:
the ambiguous mvuala-shape;
the kisimba corresponding to that mvuala;
how attaching the kisimba resolves which consonant it is;
how the kisimba’s orientation follows the mvuala;
one simple combination (e.g. a mvuala mpamba).
The teacher, following a short prepared script, explained that:
the mvuala-shape alone “does not yet show clearly who it is”;
with the kisimba “it becomes itself”;
mvuala and kisimba “depend on each other”;
combining signs creates a stronger, more stable unit.
Learners spent most of the 90 minutes copying mvuala, attaching kisimba, and forming simple combinations, with individual correction on shape and orientation.
3.3.2 Latin group
The L group learned:
the letter “b” in the standard school script;
a second version of “b” drawn inside a simple square box.
The teacher used the same ethics story but now linked it verbally to the idea that “letters together make words like people working together in a team.” The letter “b” and its boxed variant were presented neutrally as “the same letter in a different situation.” No meaning was attached to the box beyond “around” or “inside.”
Learners practiced writing “b” and “b in a box” and stringing letters into short syllables or pseudo-words.
3.4 Written task
At the end of the module, each learner received a one-page worksheet. At the top were two printed signs:
For M group:
left: mvuala-shape alone;
right: mvuala with its kisimba in canonical orientation.
For L group:
left: “b”;
right: “b” drawn inside a square box.
Below the signs, the following three questions (in French) appeared, and were read aloud:
1. Q1. What is the difference between the two signs?
(One or two sentences.)
2. Q2. Imagine each sign is like a person. What kind of person could the first sign be, and what kind of person could the second sign be?
(One or two sentences.)
3. Q3. Is one of these people in a better situation than the other? Why?
(One or two sentences.)
Learners wrote their answers individually. Teachers were unable to suggest ideas (absent from the mini test. Completed sheets were collected immediately by the research team.
3.5 Coding
Our primary interest was whether learners used the structure of the script to think about relations and responsibility. We therefore defined two simple coding axes, applied to each learner’s full set of answers.
3.5.1 Axis 1: Epistemic stance
E0 – Literal / flat:
The learner treats the sign as fully determined and does not mention uncertainty, lack of information or “missing something.” Examples:
“Here it is b, here it is b in a square.”
“It is a person, any person, a child or a grown-up.”
E1 – Ambiguity-aware / questioning:
The learner explicitly notes that the sign alone is unclear, incomplete or “not yet itself,” or questions the situation. Examples:
“I cannot tell what this mvuala is by itself.”
“This one is alone, missing something.”
“Why is this mvuala alone?”
3.5.2 Axis 2: Type of person mapping
P0 – Trivial / generic person:
The learner names a type of person with no social, relational or ethical content. Examples:
“It can be a child or an adult.”
“It is a person, any person.”
P1 – Boxed / stereotyped mapping:
The learner uses the box or fixed shape to put a person into a rigid category or container, without exploring relations. Examples:
“This is a child in a room / in school / in a car / in a coffin.”
“This one is just a b, always a b.”
P2 – Relational / ethical mapping:
The learner uses alone/with, missing/complete, or inside/outside to speak about relations, support, belonging, exclusion or responsibility. Examples:
“The mvuala alone is like a person without friends or family.”
“I do not know what it is because it has no kisimba; that is like someone who did not get education or was always alone.”
“With the kisimba it is balanced, like a person who finds their group and can help and be helped.”
Two coders coded all 50 sheets independently while blind to condition (sheets were shuffled and group labels removed). Disagreements were discussed until consensus. For the main contrast of interest (presence vs absence of relational mapping P2), agreement exceeded 85%.
3.6 Analysis
The primary quantitative comparison was the proportion of learners in each group who produced a relational mapping (P2). We also examined the distribution of epistemic stance (E0 vs E1) descriptively. Given the sample size and exploratory nature, we used simple proportion tests and focused on effect sizes and patterns rather than fine-grained statistics.
4. Results
4.1 Relational mappings grounded in script structure
In the Mandombe group, a clear majority of learners produced relational / ethical mappings that explicitly used the mvuala–kisimba structure (P2). For example: “This mvuala alone is unclear, I cannot tell who it is. It is like a person without family or friends. When we put the kisimba, it becomes itself; that is like someone who finds their group and can help others.” “Alone it is naked and imbalanced, like a child who is always alone. With the kisimba it is dressed and stable, like someone who is in a family.”
By contrast, in the Latin group, most learners either gave generic person labels (P0) or simple container descriptions (P1) for the boxed “b”:
“This is just b and here it is b in a box. The person is a child in a room.”
“It is a person in a car or in a coffin. It is still a b.”
Very few Latin learners used the difference between the two signs to speak about support, belonging or responsibility.
Numerically, the pattern looked as follows (no claim of generalizability is made at this stage. Treat as evidence of existence, as we do not measure prevalence):
M group: 18 of 25 learners (72%) coded as P2, 4 as P1, 3 as P0.
L group: 5 of 25 learners (20%) coded as P2, 9 as P1, 11 as P0.
A simple comparison of proportions suggests a large difference in the likelihood of producing relational mappings grounded in script structure. Even with conservative assumptions, the effect size is consistent with our hypothesis H₂.
4.2 Epistemic stance: noticing ambiguity
On the epistemic axis, many Mandombe learners spontaneously highlighted the ambiguity of the lone mvuala and the clarifying role of the kisimba (E1). Examples include:
“The first one is alone so I do not know exactly what mvuala it is.”
“Without the kisimba I cannot be sure, it is like someone without explanation.”
In the Latin group, E1-type statements were rare. The most frequent pattern was E0:
“The first is b, the second is b with a square.”
“It is just b, it stays b.”
A small number of Latin learners extended the box metaphor to “being stuck” or “locked in,” but usually without questioning identity or knowledge (“it is in a coffin,” “in a room”). For this initial study, we did not quantify E0/E1 with the same rigour as P2; instead we note the contrast qualitatively and treat it as an emergent pattern.
4.3 Summary
On our primary outcome, the data support a cautious but clear conclusion: after a brief module with identical ethical content, learners in the Mandombe condition were substantially more likely to use the script’s internal relational structure (mvuala alone vs mvuala + kisimba) to think and talk about relations and responsibility than learners taught with a Latin-based script. This matches informal classroom observations from longer Mandombe courses and provides the first controlled classroom evidence for Mandombe’s ethical affordance at the level of symbolic cognition.
5. Discussion
5.1 What we can reliably claim
Our strongest claim is structural. Mandombe’s mvuala–kisimba system encodes identity as a relational resolution of ambiguity. A base shape does not fully “say who it is” until it enters into a mutual orientation with a kisimba and with other glyphs. Latin grapheme structure does not exhibit this kind of intrinsic ambiguity–resolution.
At the classroom level, this study shows that novice learners can and do mobilise this relational backbone almost immediately when invited to think about persons and responsibility. After only three hours, many Mandombe learners treated the lone mvuala as underdetermined and used the addition of the kisimba as a metaphor for support, belonging and shared responsibility. Latin learners, working with an equally short introduction to “b” and “b in a box” and hearing the same ethical story, rarely did so. Their answers remained largely literal, generic or boxed.
We therefore maintain a modest but important conclusion: Mandombe provides a relational geometric backbone which, when combined with its traditional philosophy, supports an ethical learning environment that a Latin-based script is structurally poorly equipped to reproduce. We make no claim that this immediately alters behaviour or clinical profiles. We do claim that it changes what kinds of ethical metaphors are natural and available, even for novices.
5.2 Educational implications
For African education systems that remain structurally dependent on colonial scripts and curricula, this finding has practical implications. Ethics and civic education are often taught as separate “content,” added in a few hours per week, while the core symbolic infrastructure of schooling (script, language, grading scales) continues to rehearse individualised, competitive and rigid categories.
Mandombe offers a built-in different option. Because its geometry and its philosophy are aligned, it allows teachers to integrate ethical discussion into the basic act of writing. A child does not only learn that “this shape is this sound.” The child learns that identity appears in relation, that “alone” is unclear and unstable, and that mutual orientation matters. Our data suggest that even a short module can activate this logic. For longer, full pathways of Mandombe education, the cumulative effect on ethical perception and social imagination is likely to be stronger and should be studied.
5.3 Relation to DSM-H and structural pathologies
DSM-H and related frameworks argue that antisocial disorders in African contexts are often shaped by structural and symbolic environments rather than only by individual pathology. Systems that reward domination, rigid categorisation and dehumanising labels contribute to what has been called the colonised mind and the colonised Dark Tetrad.
Within this perspective, scripts and symbolic systems are not neutral. They either support, or silently undermine, relational personhood. Our results do not yet speak to clinical outcomes, but they show that Mandombe can be used to rehearse relational identity and shared responsibility at the symbolic level. This makes it a plausible candidate as one “upstream” protective factor in a multi-layered DSM-H strategy. Formal tests of such protective effects will require larger, longitudinal and multi-method studies.
5.4 Emergent ambiguity and stereotyping: an agenda for separate study
During coding we noticed a second pattern, which we did not design the study to test. Mandombe learners repeatedly described the lone mvuala as “not yet itself,” “missing something,” “unclear,” and used the kisimba as a way to resolve that ambiguity. Latin learners very often took the identity of the “b” as self-evident and treated the box as a container that places any person in a room, a car or a coffin, without questioning identity or the adequacy of the label.
This suggests a possible difference in epistemic stance (awareness of ambiguity vs flat certainty) and in the use of shapes as labels or boxes. The Latin group sometimes produced answers that resembled early forms of stereotyping: a clear-cut box with a fixed label, regardless of context. The Mandombe group often resisted premature closure: “I cannot tell what it is by itself; it needs something