This archive seeks to share and invite participation in our growing conviction that histories of mathematics may be better understood as history of (mathematical) practices. 

Mathematical and computational activities are integral to many occupations like Teaching, Carpenting, Sculpting, Boat making, Accounting, Metal working, Astrology and so on. Historically, by weaving mathematical and computational practices into the social these occupational contexts have served as sites of  production, circulation, scrutiny,  and evolution mathematical knowledge.​ This manifests or rather echoes in tools and texts of such occupations. Through this archive we explore questions such as: What would the history of mathematics look like if viewed from the perspective of those deeply engaged in computational practices, like the village accountant? Where does the accountant or the trader belong in the history of computation? Where do the students and the teachers fit within this landscape? And so on.

Thus, for us, rather than narratives about progressive mathematisation, real practices like manipulating numbers, extracting roots, representing perspective in pictures, compounding proportions, arranging numbers in tables, following rules and algorithmic procedures, knitting propositions together, visualising magnitudes in geometric diagrams, solving problems, measuring fields with specific instruments, drawing curves, making deductions and plotting the routes of ships, accounting practices etc. become the objects of inquiry [Adapted from Senthil Babu, 2022]. ​

The TamiαΈ» and Malayalam word, kaαΉ‡akku which simultaneously means "calculation," "accounting," "mathematics," or, in a compound, "calculator/accountant/mathematician," (Wagner & Ashokan, 2024) possibly best captures our spirit.​ 

Surviving records of a practice, whether they be texts or artefacts, will typically be in the everyday language context of the practitioners. Thus texts and artefacts which were in circulation in 'vernacular' becomes the source for our learnings. There exists a whole range of records in various Indian (broad) language traditions that speak to, and are about, the everyday practices of different professionals and their pedagogic contexts. However, these are rarely historically scrutinised or even catalogued.

Through various collaborative efforts, this archive tries to bring such materials together for the interested public, whether professional academics or others, to explore, ask questions, and reconstruct narratives of mathematical practices as well as the various relationalities between practices and the general public. We feel this is particularly important in the subcontinent, where occupational practices became one of the axes around which the graded hierarchy of caste was organised and vice versa; where there was a separation of mental and manual labour. Thus, we consider knowledge and practice as mutually constituted.

That said, archival records such as palm leaf manuscripts,texts, inscriptions, tools, and instruments—removed from their sites of practice—are only fragments of the past. By contextualising these records—through social histories , ethnographies, conversations with practitioners or their descendants , reflections on the public subjected to these practices, and by enlivening them with practical reproduction—we begin to understand the social and political worlds which constituted such practices and in turn how such practices shaped the social and political. Our learnings suggest that interrogating the relations between texts, practitioners, and practices, can help understand computational practices in their everyday socio-political contexts [See Babu , 2022]. Texts (like Kanakkatikaram) embody such relationalities. Through years of collaborative efforts involving a diverse set of people with varying expertise, we curate and present the tools, texts, and records of various practitioners such as teachers, artisans, village and merchant accountants, in different language traditions within India. The curated information spans between 9th century CE to 20th century CE and constitutes primary sources like palm leaf manuscripts, paper manuscripts, metrological instruments, and associated field work documents etc.

We and some of our collaborators have engaged with certain practices and materials in depth, scrutinised them in context, and published edited versions of the associated texts . However, most objects and texts in our collection await deeper engagement, especially the large collection of images of measuring instruments from parts of South India collected from various museums . We also have materials, provided by our wellwishers, which lack contextual details. We invite anyone interested to explore relationships between mathematical practices and social lives to further these inquiries and enrich this archive.

You may share your learning through our storyscape page as many in the past have done. In that sense we envision this archive to be an ever growing contextualised evidence repository, for illuminating the space of practices grounded in a particular geographical and temporal scope. The work on KaαΉ‡akkatikāramο»Ώ texts , Encuvati <\a> and MuthukaαΉ‡akku ο»Ώ serves as one possible model of inquiry; another is to follow practices of measuring and instruments in their actual contexts —to make them live again, rather than remain archival and static. This means conducting social ethnographies with makers of those tools, those subjected to them, and even putting those instruments to the test by ourselves

For ease of navigation, the archive is currently organised under broader themes of practitioners and languages.