近年來，教育部為提升中小學教師至碩士學歷，鼓勵各師資培育機構針對修習教育學程的碩士生規劃具特色之培育課程。同時，為期望師資生在修習教程期間能強化其理論與實務的連結，本系師長提出了與現行不同的碩士班教育學程。其特點有二:
1.碩士班學生於修習此教育學程的第一年，即同時修習數學學習、數學教材教法、教學實習。
2.教學實習應用「擬師徒制」的模式，意即要求碩士班學生進入中學教學現場，跟隨一位有經驗的數學教師，觀摩和學習數學教學。
從上述二點可以看出，修習這培育課程的碩士班學生其學習的場域是在自然真實的情境中，跟隨一位有經驗的教師，可以深入地觀察他們的經驗與行為，又同時於師大進行數學學習、數學教材教法等課程之修習，這提供他們理論與實務同時並進的學習機會。才能促成最佳的發展。
因此，本研究從教學知識和信念兩個面向出發，觀察與分析研究對象在此經特殊安排的教育學程中，其學習數學教學的經驗、內涵與發展，探討此教學實習應用擬師徒制對其影響及其改變。
研究結果顯示，個案經由觀摩輔導老師教學及互動討論下，促使個案之數學教學知識有不同內涵和程度的成長，並使其教學信念有所轉變。
本研究結果應有助於數學師資培育者在往後的師資職前培育課程之規劃有所參考。

In recent years, The Ministry of Education for the promotion school teachers to master the school record, encourages various teachers to cultivate the organization in view of the master's degree student who studies the education course to plan has cultivation of curriculum the characteristic. At the same time, to expect that the teachers live studies course period can strengthen its theory and practice linking, originally was division commander proposed the class educated the course with present different master. Its characteristic has two:
1. Master the class students in studies this education course the first year, namely simultaneously studies mathematics study, mathematics teaching material to teach the law, the teaching practice.
2. The teaching practice application “plans the priests and disciples system” the pattern, Italy namely requests master the class students to enter the middle school teaching scene, follows an experienced mathematics teacher, observes and emulates and studies mathematics teaching.
May see, master who from the above two spots studies this cultivation curriculum the class student its study field territory is in the nature real situation, follows an experienced teacher, may observe their experience and the behavior thoroughly, also at the same time carries on mathematics study, mathematics teaching material in the normal university to teach studies of curriculum and so on law, this provides the study opportunity which they the theory and the practice simultaneously advance together. Can facilitate the best development.
Therefore, this research faces from the teaching knowledge and faith two embarks, the observation and the analytical study object in this after in the special arrangement's education course, its study mathematics teaching's experience, the connotation and the development, discusses this teaching practice application to plan the priests and disciples to make to its influence and the change.
The findings showed that the case by way of observes and emulates guidance teacher under the teaching and the interactive discussion, urges mathematics of teaching knowledge the case to have the different connotation and the degree growth, and enables its teaching faith to have the transformation.
This findings should be helpful in mathematics teachers nurser cultivate plan of the curriculum before in the future teachers duty to have the reference.

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