技職教育的特點在於「務實致用」培育企業實務人才，因此養成教育需從企業的需求智能為起點，推演至學生畢業所需具備的核心能力，再據以進行課程及教學設計。本研究由品質管理觀點，結合Kano理論與品質機能展開，探討從事職場工作時所需具備的數學智能及其對應的數學核心能力。本研究利用因素分析將14項數學需求智能歸納為「數理推論能力」與「數理表達能力」兩主成份因素；並透過Kano模式將數學需求智能加以歸類，其中三項歸屬為「當然品質」、兩項歸類為「一元品質」。品質機能展開顯示數學核心能力並不會因畢業科系或公司業種的不同而有差異。最後則藉由品質屋的相關矩陣進行群組分析，提出培育數學需求智能所對應之核心能力，作為教學設計的參考。

The technological and vocational education (TVE) in Taiwan has been substantially developing and contributing to the promotion of national competitiveness. To further enhance the quality of TVE education, tailored student’s pragmatic skills to the needs of enterprise unit is essential. Therefore, in this study the quality function deployment (QFD) is used to extract the correlation between core capabilities and intelligences of mathematics, filtered from the needs of occupation. A questionnaire designed from Kano’s two-dimensional quality model and some hypothesis tests are considered to categorize the mathematic intelligences into levels of demand features. The results reveal that two types of mathematics categories, inference capabilities and descriptive capabilities, can be used to depict the intelligences of mathematics; the Kano’s model induces that three items are attributed to must-be quality and two items are listed in one-dimensional quality. In addition, the ranking of core capabilities of mathematics in QFD is not significant in both graduates and vocations. In the end, the featured clusters between intelligences and core capabilities of mathematics are found via the correlation analysis of QFD.