Reflection: Developing a Conceptual Understanding Compensation - Section 3: Student Practice

 

A lot of times, I feel pressure to omit worksheets from my math instruction. Some teachers claim that worksheets represent the "old way of teaching concepts." However, I would like to argue that skill practice is an important part of conceptual development. Here are two examples from this lesson in particular: 

1. There are some students who struggle with remembering multiple steps. Often, a worksheet helps students develop a deeper understanding of strategies and the order of steps. At first, this student struggled with Remembering to Multiply. After some repeated practice, this student became successful. 

2. In addition, a practice page often provides students with a variety of tasks. At first, we only discussed problems that were easy to compensate (such as 197... just add 3 or 104... just subtract 4). Today's practice page provided students with unique tasks that pushed student thinking. Here's an example of a student who began to use Decomposing & Compensating in order to effectively solve unexpected tasks. We shared her strategy with the class and others immediately started using both strategies as well!  

  Developing a Conceptual Understanding: Importance of Skill Practice
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Compensation

Unit 11: Multiplication: Single-Digit x Multi-Digit
Lesson 5 of 8

Objective: SWBAT use compensation to solve multiplication problems.

Big Idea: Students should be able to solve and illustrate multiplication problems using multiple strategies.

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Subject(s):
Math, Number Sense and Operations, multiplication, compensation
  100 minutes
297 x 3 on student board
 
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