Students’ Common Errors in Solving Routine & Non-Routine Problems: A Mixed Method Analysis
Journal Title: International Journal of Multidisciplinary Research and Analysis - Year 2022, Vol 5, Issue 02
Abstract
This research was conducted to identify errors committed by students in solving word problems, determine their possible causes and propose corrective measures for classroom teaching. The analysis was centered on the five errors adopted from Newman’s Error Analysis Guide namely: reading, comprehension, transformation, process, and encoding. The study used a mixed-method research design. In collecting errors, the students were given a series of test questions. The results of the tests were compared and the specific error patterns along with the probable sources were descriptively investigated. Two weeks after the test, students were interviewed to identify their misconceptions and their reasoning. In the interview process, students were asked to explain their thinking while they were doing the same problems again. Some prompting questions were asked to facilitate this process and to clarify more about students’ claims. The data gathered were treated statistically using frequency count, mean percentage, and test concerning two means. Findings reveal that some of the common errors were seen to be persistent and the sources from which they derive were not consistent. Thus, the students’ errors occurred in varied ways in problem-solving situations. Analysis of error patterns led to the conclusion that the students have difficulty on algebraic symbolism and analysis of the problem. Their inability to deduce the correct meaning of mathematical statements further create a chain of errors on succeeding steps required of a mathematical word problem. The conclusions drawn from this investigation strongly justify the needs to recognize and to develop critical and analytical thinking of the students. That is, students must be expose in solving non-routine problems in order to provide them an opportunity to develop higher-order thinking in the process of understanding, analysis, exploration, and application of mathematical concepts.
Authors and Affiliations
Michael Angelo A. Legarde,
Keywords
Related Articles
- EP ID EP705603
- DOI 10.47191/ijmra/v5-i2-42
- Views 76
- Downloads 0
Environmental Communication in Digital Eco-Action Campaign Practices of Youth Disaster Survivors in Toaya, Central Sulawesi, Indonesia
This research aims to find the most important function of communication and local knowledge in the eco-action campaign strategy of the Earthquake and Tsunami disaster survivors’ community in Toaya village. The theory use...
Determinants of Charter Accountant Certified Accounting Students (Empirical Study on Accounting Major Students in Bali Province)
Certified accountants are needed worldwide to improve the economy and the quality of information in the financial sector. Charter accountant (CA) certification for graduate accounting students can create professional acc...
The Effect of Non-Financial Factors on Firm Value with Tax Aggressiveness as Moderating
There are still many problems with company value in Indonesia. This study aims to analyze the effect of non-financial factors on firm value. In addition, this study also examines tax aggressiveness as moderating the infl...
Organization of Management in the System of Preschool Education on the Basis of Pedagogical Partnership
The article is devoted to the analysis of the concept of “management” and the modern management organization of a preschool educational organization. The authors report that for an effective and rational leadership of a...
Knowledge and Practices of Medical Officers on Medical Near Misses in a Tertiary Care Hospital, Sri Lanka
Near misses are the most crucial and valuable elements in the prevention of potentially unintentional harm in patients service provision. Reporting incidents is an essential component in inculcating patient safety cultur...