### STUDENTS’ COGNITIVE PROCESSES IN SOLVING PROBLEM RELATED TO THE CONCEPT OF AREA CONSERVATION

#### Abstract

*This study aimed at determining **the cognitive processes** **employed in solving problems related to the concept of area conservation for seventh graders. **Two students with different mathematical ability**, each of which were representatives of high achievers and low achievers based on a set of area conservation test,** were chosen to be the subject**s** of this research. **Results indicate that both samples performed** more** cyclic processes **on formulating solution planning, regulating solution part and detecting and correcting error during problem solution. However, it **was **found that**, the **high** achiever student performed more number of processes than those of low achiever. Also, while the high achiever student did not predict any outcomes of his formulated strategies, the low achiever did not carry out the thought process after detecting errors of the initial solution gained. In relation to the concept of area conservation, the finding also reveal that within the samples’ cognitive processes, the use of area formula come first before students decided to look for other strategy** such as doing** ‘cut-rotate-paste’ for the curved planes, which do not have any direct formula. The possible causes of the resu**l**ts were discussed to derive some recommendation for future studies. *

#### Keywords

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DOI: https://doi.org/10.22342/jme.10.1.6339.%25p

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