Background: The study on which this article is based investigated the Mathematics Knowledge for Teaching (MKfT) that a well experienced Grade 2 teacher utilized when teaching counting. Aim: In this paper we share excerpts from one of the lessons of this Grade 2 teacher, which we analyzed to illuminate the various domains of MKfT and their interconnectedness in the teaching of counting. Setting: The research was conducted in a former Model C school in the Eastern Cape province of South Africa. Method: Using a case study methodology, 15 Grade 2 mathematics lessons were observed, video recorded and transcribed. Two formal interviews based on two selected video-recorded lessons were conducted to understand this teacher’s practice. The data were analysed using Deborah Ball and colleagues’ MKfT framework. Results: The study found that Foundation Phase mathematics teaching requires the knowledge and tactful employment of all six knowledge domains as described in the work of Ball and colleagues. The Knowledge of Content and Teaching (KCT) domain, was found to be essential in teaching counting in Grade 2. The other five domains supported and informed the KCT domain. Conclusion: We suggest from the insights gained here that research examining the MKfT that competent teachers draw on in teaching Foundation Phase mathematics could assist in developing curricula for in-service and pre-service teacher education programs.

中文翻译：

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2年级老师在教计数时会使用哪些数学知识进行教学

背景：本文所基于的研究调查了一位教学经验丰富的2年级老师在进行计数时所使用的数学教学知识（MKfT）。目的：在本文中，我们分享了这位2年级老师的一堂课的节选，我们对其进行了分析，以阐明MKfT的各个领域及其在计数教学中的相互联系。地点：该研究是在南非东开普省的一所前C型学校中进行的。方法：使用案例研究方法，观察了15个2年级数学课程，录制了视频并进行了转录。根据两个选定的录像课进行了两次正式访谈，以了解这位老师的做法。使用Deborah Ball及其同事的MKfT框架对数据进行了分析。结果：研究发现，如鲍尔和同事的工作中所述，基础阶段数学教学需要所有六个知识领域的知识和知识运用。发现内容和教学（KCT）领域对于2年级的教学计数至关重要。其他五个领域为KCT领域提供了支持和信息。结论：我们从这里获得的见解中提出，研究合格教师在基础阶段数学教学中所使用的MKfT的研究可以帮助开发在职和在职教师教育计划的课程。被发现在2年级的教学中至关重要。其他五个领域支持并告知了KCT领域。结论：我们从这里获得的见解中提出，研究对合格教师在基础阶段数学教学中使用的MKfT的研究可以帮助开发在职和在职教师教育计划的课程。被发现在2年级的教学中至关重要。其他五个领域支持并告知了KCT领域。结论：我们从这里获得的见解中提出，研究对合格教师在基础阶段数学教学中使用的MKfT的研究可以帮助开发在职和在职教师教育计划的课程。