Field Visit 5

During this visit, we observed the morning math block again. Ms. H had the students review their math homework from the previous night, which was on multiplication and estimation. The objective of the lesson was to try to get students to approach the same problem with multiple methods, and to understand the underlying concept behind how multiplication works. The teacher explained to us that it is important that students are not just simply going through the steps of an algorithm to solve a multiplication problem, because when they get to higher level problems (with two or three digit factors) they will be lost without having a solid foundation in the fundamentals.

In order to achieve this understanding, the teacher modeled several different methods - traditional algorithm (multiplying each column, carrying over, and adding), estimation (rounding a two-digit number to the nearest ten), using place value blocks, and using graph paper to draw grids and arrays. This was done mostly through direct instruction, the teacher explained each method and allowed for guided practice, then independent practice (during which she circulated around the room and helped out struggling students).

I felt this approach was very effective, especially in the discipline of math where students need a solid understanding of basic concepts and skills before they can move on to higher-level operations and functions. In providing so many means of accessing one particular skill, the teacher is opening up multiple points of access for students with different learning styles. Her way of differentiating instruction allowed for visual/kinesthetic learners (place value blocks), logical/visual learners (graph paper arrays); analytical learners (algorithm method) all reach the same goal and understanding through different means. Also, the blend of group instruction, individual practice, and small group practice allowed each student to learn in an environment that best suited their individual learning needs.

At the end of the lesson, the teacher remarked to us that she did not get as far as she had hoped to; some students seemed to be still struggling with grasping the basics, so she would have to extend the lesson until the next class. She felt that they were not yet ready to complete the homework she intended to give out that day, so she was going to hold it off until she thought it would serve as a good review/reinforcement for the students. I really gained a lot from the teacher's insight and reflection, as well as her ability and willingness to be flexible and sensitive to how students were responding to instruction. It is so tempting to have too much rigidity and structure in the classroom, so I feel that I can learn a lot from observing and reflecting on this experience.