The purpose of this study was to describe the characteristics of students' cognitive conflict in solving problems based on information processing theory. This research was descriptive qualitative, and data were collected through direct observation, semi-structured in-depth interviews, and tests. Tests were in the form of story questions with distance material that had been previously studied by students. Participants in this study were grade 6 elementary school students. Out of 32 sixth-grade students, two were selected as participants in the study. The results of the study show that there are two characteristics of students' cognitive conflict in solving problems: error-cognitive conflict-equilibrium-solving the problem and error-cognitive conflict-equilibrium-can't solve the problem. Participants experienced difficulties in accessing information contained in long-term memory, so participants were constrained in connecting the newly received information to their short-term memories. The difficulty in accessing this information resulted in participants' experiencing cognitive conflict. Information was not directly connected between what had been given and what was already available in the cognitive structure. These results indicate that cognitive conflict occurs during information processing if the information received by sensory memory and transferred to short-term memory cannot be directly linked to information in long-term memory.
Pre-service teachers in primary education often have difficulty in solving mathematical problems, specifically fractions that are presented with a picture. In solving problems, some thought processes are needed by the teacher to reduce students' cognitive barriers. Therefore, this study aimed to reveal the cognitive barriers experienced by students in solving fraction problems. The cognitive barriers referred to in this study are ways of thinking about structures or mathematical objects that are appropriate in one situation and not appropriate in another situation. This study employed a descriptive-qualitative method. Furthermore, participants were followed up with in-depth semi-structured interviews to find out the cognitive barriers that occurred in solving fraction problems. This study discovers that the participants, in solving fraction problems, experienced all indicators of cognitive barrier and two cognitive obstacles are found as new findings that tend to involve mathematical calculations and violates the rules in dividing images into equal parts in the problem-solving procedure.
One of the courses have often difficult by pre service teacher in primary education is Geometry, evidently by learning outcome that are still low. Difficulties experienced by students led to an error occurred in solving problem in geometry. Errors that occur when students solve problems in geometry really need to be known, especially the type of error. One of procedure that can be used to reveal the student error is Newman procedure. This research employed a descriptive qualitative method that aimed to analyze the errors of pre service teacher in primary education when solve the problems in geometry. Participants in this research were two students who have taken the courses of Geometry and meet the criteria which is experiencing a mathematical error. Data collection technique use a question sheet and interviews. Question sheet given in order to analyze student errors that appear. While the interviews were conducted to confirm the results of student work. The results showed that the four stages of the procedure of Newman Error Analyze that comprehension, transformation, process skill and encoding occur mathematical error, logical error and strategic error. Furthermore, as new findings in this research, the error experienced by the students at this stage of the procedure Newman can cause errors in the later stages.
The teacher’s attitude towards mathematics teaching is seen as an essential factor in forming students’ attitudes towards mathematics. However, no one has extensively described the reflection of teachers’ self-confidence in teaching mathematics, especially for novice primary teachers. Therefore, the purpose of this study sought to describe a reflection of the self-confidence attitude of novice primary teachers in teaching mathematics. A questionnaire based on novice primary teachers’ teaching experience was administered to a total of 28 novice primary teachers (N = 22 males, N = 6 females) conveniently selected to participate in the study reported in this article. The semi-structured interviews data explored novice primary teachers’ reflections on the given questionnaire scale items. The qualitative data obtained from semi-structured interviews informed the quantitative information extracted from the questionnaires. The results showed that the reflection of the self-confidence attitude of novice primary teachers in low, moderate, and high participants on the scale of confidence in teaching mathematics raises three essential findings, specifically (1) ability on content knowledge, (2) ability to explain, and (3) ability in classroom management. The resulting reflection in low, moderate, and high participants on the scale was an attitude toward success in teaching mathematics, namely, the appraisal of others, and on the scale, the usefulness of mathematics teaching, namely the ability to understand the usefulness of mathematics.
<p><span lang="EN-US">Many studies showed that cognitive conflict often occurs in learning and when solving mathematics problems. However, very few studies have looked at cognitive conflicts in solving mathematics problems, incredibly improper fraction problems. This descriptive qualitative study described and analyzed students’ errors in solving mathematics problems using a commognitive perspective. The data was collected using a test sheet instrument, where students do the test think-aloud. The answers on the student test sheets were analyzed by adjusting the think-aloud that was carried out, and then the interview process was carried out as a form of triangulation of the method in the study. The data analysis results showed that there was a routine error that causes cognitive conflict when solving the improper fraction problem. The error that occurred indicates that the routine can and cannot resolve the cognitive conflict that occurs. This study’s findings indicated the importance of routine procedures to be understood so that their use is appropriate for solving mathematical problems.</span></p>
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.
hi@scite.ai
10624 S. Eastern Ave., Ste. A-614
Henderson, NV 89052, USA
Copyright © 2024 scite LLC. All rights reserved.
Made with 💙 for researchers
Part of the Research Solutions Family.