現今教育講求多元教學及情境融入教學的教學方法,而問題導向學習模式(PBL)更可幫助學生從問題中自我學習。本計畫希望以著名的東海大學路思義教堂為模型,融入數學中的幾何學概念來開發教具,並針對不同教育程度的學生設計引導教學的問題激發學生思考。在教具裡我們將融入的數學概念包括:透過設計數積木的方式來架構國小學生的空間概念;引導國中學生計算表面積、體積、容積的問題,並藉由規律地堆積積木來引導學生利用等差級數求出積木的數量;建立教堂之數學模型,引導高中學生利用基本函數以及二次曲線來刻化教堂所蘊含之數學概念,並藉由教堂瓦片需平滑地接合,認識如微積分等更高階的數學理論。 The way of studying in problem-base model ( PBL) can help students to study oneself from the question even more. This plan hopes to think architecture of Luce Chapel in Tunghai University as the model incorporate geometry in mathematics. The concept comes to develop the teaching aid, and excite students and think deeply to the question that students of different education degree designed and guided teaching. We include the mathematics concept incorporated in the teaching aid: Space (3 - dimension space) of students of primary school of structure comes by way of designing and counting the building blocks concept; Lead the junior middle school student to calculate the surface area , volume, the question of the volume, and pile up the building blocks to lead students to utilize arithmetic series with the law (Arithmetic Progression) ask out the quantity of the building blocks; Set up the mathematics models of the church, lead the high school student to utilize basic function. And conic section take mathematics concept church contain to carve, take by the church tile levelly and smoothly to come. The joint, know like calculus.