「蒙特梭利博士表示，小孩若在早年曾接觸數學方面的教材，他會很輕易且喜悅地學習計算的技巧，瞭解四則運算的意義；如果這些現象和技巧，用抽象的形式教他們，則可能需要花上一長段沈悶、無趣的時間來學習。」——《一間蒙特梭利教室》Aline D. Wolf
以無趣生硬的方式教導加減法，會降低孩子的學習意願。而教室裡，數學區的教材，是用觸摸和移動教材來學習。從操作數棒獲得對數量的概念，在金色串珠的教具中了解十進位系統，並運用分數板讓孩子以具體的教材比較分數的大小關係。藉由實體的教具，讓孩子從操作中理解數學的運算，獲得對學習的滿足感。
Dr. Montessori demonstrated that if a child has access to mathematical equipment in his early years, he can easily and joyfully assimilate many facts and skills of arithmetic. On the other hand, these same facts and skills may require long hours of drudgery and drill if they are introduced to him later in abstract form.
-"A Parents Guide to the Montessori Classroom", Aline D. Wolf
It will reduce children's willingness to learn to teach addition and subtraction in a boring and prescribed way. In the math section of the classroom, we learn by touching and moving the materials. The children obtain the concept of numbers by using the Spindle Boxes, understand the decimal system with the Thousand Chain, and compare fractions with Fraction Material. The children can learn computation through physical materials and get the sense of satisfaction in learning.
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