Presenting examples of both correctly and incorrectly worker solution is a practical classroom strategy that helps students counters misconceptions about algebra.
When we study Algebra, We exactly find some equation. There are many problems when we solve the equation. If we don’t help the student, they will becomes confuse and make some misconceptions.
Many misconceptions that prohibit students from developing a deeper understanding of algebra.
For students to be successful in algebra, they must have a truly conceptual understanding of key algebraic features as well as the procedural skills to complete a problem. One strategy to correct students’ misconceptions combines the use of worked example problems in the classroom with student self-explanation. Self-explanation is the “activity of generating explanations to oneself” (Chi 2000, p. 164)
A tip to solve misconceptions problem is worker example problem. A worked example problem, to be differentiated from working an example problem, shows students an already completed problem and directs their attention to certain steps of the task as the focus of questioning. The important thing in this tip is Self-Explanation. It encourages students to identify the reasoning behind the steps that they see carried out and to explain why these steps were completed.
There are some kinds of worker example problem.
A unique and powerful aspect of using worked examples in the classroom occurs with the inclusion of examples of both correct and incorrect solutions
LINKING TO THE COMMON CORE
Solving equations is a key in algebra, And this content area under the following two standards:
1. Explain each step in solving a simple equation as following from the equality of numbers asserted at the previous step, starting from the assumption that the original equation has a solution. Construct a viable argument to justify a solution method.
2. Solve simple rational and radical equations in one variable, and give examples showing how extraneous solutions may arise.
USING EXAMPLES IN A COMPUTER-BASED ACTIVITY
Correct and incorrect examples have been used successfully in a classroom setting through a computer program. For example,
The answer turns green if the student responds correctly. If the student answers incorrectly, the answer turns red, and a pop-up box appears with a suggestion to review certain aspects of the problem.
USING EXAMPLES IN A TRADITIONAL CLASSROOM
Example in a traditional classroom is student homework. Even without computer-based system, students displayed better conceptual understanding after completing assignments that included analyzing correctly worked and incorrectly worked examples.
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