Submitted:
29 June 2025
Posted:
30 June 2025
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Abstract
Keywords:
1. Introduction
2. The Philosophical Foundations: The Islamization of Knowledge
3. Critiquing ‘Western’ Mathematics: A Crisis of Values
4. Envisioning an Islamized Mathematics Curriculum
- Axiological Integration: This involves explicitly linking mathematical study to core Islamic values (akhlaq). The harmony and symmetry in geometry can be presented as reflections of divine beauty (jamal) and perfection (itqan). The precision of mathematics can be tied to the Islamic value of justice (‘adl) and balance (mizan) (Busti and Saputra, 2024). Word problems can be re-contextualized from scenarios of stock market gains to calculations involving Islamic inheritance law (fara’id), charitable donations (zakat), or pilgrimage logistics (Herindar and Shikur, 2023).
- Epistemological Reframing: An Islamized curriculum would begin by positing Allah as the ultimate source of all order and rationality. Mathematics laws are not human inventions, but rather human discoveries of an already existing divine design (Sunarya et al., 2021). Muslim mathematicians such as al-Khwarizmi, al-Battani, and Thabit ibn Qurra’s contributions would be taught as instances of how a Tawhidic worldview inspired scientific inquiry (Ashraf et al., 2023), rather than as historical footnotes.
- Thematic Integration: Mathematical issues can be linked to Islamic theological teachings. The study of infinity in calculus can serve as a springboard for discussions on Allah’s infinite attributes versus the finitude of creation(Naim and Widjayanto, 2024). The concepts of probability and statistics can be explored in relation to the theological concepts of divine decree (qadar) and human free will (ikhtiyar) (Zain, 2010). The geometric patterns prevalent in Islamic art and architecture, from mesmerising tessellations to complex muqarnas, can be analysed not just as artistic expressions but as mathematical explorations of unity in multiplicity, a core theme of Tawhid (Moradzadeh and Ebrahimi, 2020; Hillenbrand, 2024). Visual illustrations are portrayed through Figure 1, Figure 2, Figure 3, Figure 4, Figure 5, Figure 6, Figure 7, Figure 8, Figure 9, Figure 10, Figure 11, Figure 12 and Figure 13 (c.f., Moradzadeh and Ebrahimi, 2020). In principle, Islamic geometric patterns involve fractal patterns, which are entwined with Fractal geometry(Mageed and Bhat 2022; Mageed and Mohamed, 2023; Mageed, 2023; Mageed and Nazir, 2024; Mageed, 2024 a-m; Mageed, 2025 a-c).
5. Challenges, Debates, and Criticisms
6. Conclusion
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