Integration of history of mathematics (HOM) in mathematics education is emerging as frontier endowed with utility to stem decline in uptake, enhance performance and alter the negative perceptions about the subject. This case study sought to explore the influence of history of mathematics on grade eleven girls' perceptions of the Theorem of Pythagoras in particular and mathematics in general. In this exploratory study, the genetic approach of HOM was used in teaching the Theorem of Pythagoras. Findings indicate that the inclusion of aspects of the history of mathematics catalysed positive learner perceptions of the Theorem and mathematics in general. Notable changes in learner perceptions included affirmations of an increased level of motivation and confessed improvement in readiness of grade eleven learners in tackling challenging tasks involving the Theorem of Pythagoras. Learners also alluded to increased confidence in dealing with proofs, enjoying making their own discoveries and solving mathematical problems in general.

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Assuming a methodological posture, this work extends the increasing legitimacy of the sociocultural in qualitative studies. Confronted by sociological questions with potential anthropological answers, this study straddled ethnographies and invoked attributes from both conventional and focused ethnography in a responsive focused ethnography. Responsive-focused ethnography transcends the strictures of traditional sociocultural dichotomies in understanding contemporary institutional arrangements. Experience during its deployment hints a responsive explorative frame for cultural excavation devoid of any illusions of the hidden nature of sociocultural reality. Deployment of this model also demonstrated the possibility of more holistic focused ethnographies with utility in addressing sociological questions with anthropological understandings across diverse contexts.

This study recentres the sociocultural in culturally transforming pedagogic settings whilst foregrounding culturally responsive teaching (CRT). Through a protracted anthropological excavation, teachers’ experiences in a culturally diverse integrated high school were explored and interpreted vis-à-vis tenets and precepts of CRT. Findings from observation and interviews indicate that the pedagogic settings as structured by the teachers were not attendant to the aspirations of CRT and teacher practices were not reflective of dispositions of CRT. Teachers professed negative experiences of the pedagogic setting, demonstrated and professed limited knowledge of the cultural being of their learners. The findings highlighted the need for micro-context cultural excavations to remedy socioculturally detached teaching. Cognisant of the emergent need for a learning tool, the LEAP model is proposed premised on centering the humanistic world of the learners and the inherent currency in their culture for progressive teaching and learning engagements.