Efforts to enhance education and broaden participation in AI will benefit from a systematic understanding of the competencies underlying AI expertise. In this paper, we observe that AI expertise requires integrating computational, conceptual, and mathematical knowledge and representations. We call this the ``AI triplet,'' similar in spirit to the ``chemistry triplet'' that has heavily influenced the past four decades of chemistry education research. We describe a theoretical foundation for this triplet and show how it maps onto two sample AI topics: tree search and gradient descent. Finally, just as the chemistry triplet has impacted chemistry education in concrete ways, we suggest two initial hypotheses for how the AI triplet might impact AI education: 1) how we can help AI students gain proficiency in moving between the corners of the triplet; and 2) how all corners of the AI triplet highlight the need for supporting students' spatial cognitive skills.

翻译：提高教育和扩大参与AI的努力将受益于对AI专业知识基础的能力的系统理解。在本文中,我们观察到AI专业知识需要将计算、概念和数学知识和表述结合起来。我们称之为“AI三重”,这在精神上与过去四十年化学教育研究中严重影响到的“化学三重”相似。我们描述了这一三重的理论基础,并展示它如何将它映射到AI的两个样本主题:树搜索和梯度下降。最后,正如化学三重已经以具体的方式影响化学教育一样,我们建议两个初步假设,说明AI三重可能如何影响AI教育:1)我们如何帮助AI学生在三重心之间移动的熟练程度;和2)AI三重心如何强调支持学生空间认知技能的必要性。