At the Upper Elementary level, Montessori math work begins with hands-on demonstrations and work with materials for each new concept before students move to the abstract. This provides many benefits for students. Concrete math work allows students to naturally develop a deep understanding of concepts, with exploration leading to understanding rules and formulas. Our process is an introduction with the material, independent practice, and demonstration of understanding through the use of the material. After understanding is demonstrated, a rule or formula is verbalized before students begin to complete the problems abstractly. The rule or formula is often recorded in their math books for later reference by the student.
Students are also encouraged to develop their math problems within the concept they are studying. This process, called Guided Discovery, leads to children engaging with issues that arise in their exploration, creating opportunities for mini-lessons as those issues arise. It focuses on the technique or the process instead of the correct answers to each problem. This means that students can move through the curriculum at a pace that interests them and makes math engaging. Working at their own pace helps students to develop confidence in their problem-solving ability and a strong sense of independence.
We have a variety of math work going on. In geometry, one group is finding the equivalence between two figures while the other group is learning to find the area of different figures. This week, the equivalency group learned about using a rhombus’s major and minor diagonals to prove equivalence to a rectangle. The area group learned to find the area of a regular polygon by comparing the perimeter of the polygon to the base of a rectangle and comparing the apothem of the polygon to the height of the rectangle. In individualized math work, different students are working on the following:
- finding the lowest common multiple of large numbers
- researching factors of two-digit numbers
- common factors and the greatest common factor
- square of binomials
- square root formed of only units and cross multiplication
The UE students exhibit remarkable enthusiasm and self-motivation in their mathematics work. Their eagerness is evident in how they engage with complex problems and collaborate, fostering a dynamic and supportive learning environment.

















































































































































































































