Recently, mathematical modeling has been attractive in that it could be one of many efforts to improve students' thinking and problem solving in mathematics education. Mathematical modeling is a non-linear process that involves elements of both a treated-as-real world and a mathematics world and also requires the application of mathematics to unstructured problem situations in real-life situation. This study provides analysis of literature review about modeling perspectives, case studies about mathematical modeling, and textbooks from the United States and Korea with perspective which mathematical modeling could be potential and meaningful to students even in elementary school. Further, teaching method with mathematical modeling was investigated to see the possibility of application to elementary mathematics classroom.
It is the aim of this paper to suggest the method constructing abstract schema in similar mathematical problem solving processes. We analyzed closely the existing studies about the similar problem solving. We suggested the process designing a method for helping students construct an abstract schema. We designed the teaching method constructing abstract schema by appling this process to a group of similar problems chosen by researchers. We applied the designed method to a student. And we could check the possibility and practice of designed teaching method by observing the student's reaction closely.
It is the aim of this paper to find the requisites for the target problem solving process in reference to the base problem and to search the roles of those. Focusing on the structural similarity, analytic activity and comparative activity in stage of similar mathematical problem solving process, we tried to find the roles of them. We observed closely how four students solve the target problem in reference to the base problem. And so we got the following conclusions. The insight of structural similarity prepare the ground appling the solving method of base problem in the process solving the target problem. And we knew that the analytic activity can become the instrument which find out the truth about the guess. Finally the comparative activity can set up the direction of solution of the target problem. Thus we knew that the insight of structural similarity, the analytic activity and the comparative activity are necessary for similar mathematical problem to solve. We think that it requires the efforts to develop the various programs about teaching-learning method focusing on the structural similarity, analytic activity and comparative activity in stage of similar mathematical problem solving process. And we also think that it needs the study to research the roles of other elements for similar mathematical problem solving but to find the roles of the structural similarity, analytic activity and comparative activity.
The purpose of this study was to examine what errors students made in solving word problems with figures and to compare the problem-solving abilities of boys and girls for each type of word problems with figures. It's basically meant to provide information on effective teaching-learning methods about world problems with figures that were given the greatest weight among different sorts of word problems. The findings of the study were as fellows: First, there was no difference between the boys and girls in the types of error they made. Both groups made the most errors due to a poor understanding of sentences, and they made the least errors of making the wrong expression. And the students who gave no answers outnumbered those who made errors. Second, as for problem-solving ability, the boys outperformed the girls in problem solving except variable problems. There was the greatest gap between the two in solving combining problems. Third, they made the average or higher achievement in solving the types of problems that were included much in the textbooks, and made the least achievement in relation to the types of problems that were handled least often in the textbooks.
The purpose of this study is to provide informations about cause of failures when students solve word problems by analyzing what errors students made in solving word problems and types of error and features of error according to problem solving strategy. The results of this study can be summarized as follows: First, $5^{th}$ grade students preferred the expressions, estimate and verify, finding rules in order when solving word problems. But the majority of students couldn't use simplifying. Second, the types of error encountered according to the problem solving strategy on problem based learning are as follows; In the case of 'expression', the most common error when using expression was the error of question understanding. The second most common was the error of concept principle, followed by the error of solving procedure. In 'estimate and verify' strategy, there was a low proportion of errors and students understood estimate and verify well. When students use 'drawing diagram', they made errors because they misunderstood the problems, made mistakes in calculations and in transforming key-words of data into expressions. In 'making table' strategy, there were a lot of errors in question understanding because students misunderstood the relationship between information. Finally, we suggest that problem solving ability can be developed through an analysis of error types according to the problem strategy and a correct teaching about these error types.
The purpose of this study is to examine the effect of cooperative making problems and solving problems for formative assessment at finish stage on science academic achievement and scientific attitude. This study is conducted in 51 sixth-graders of two classes. The experimental group was provided with a teaching-learning course based on cooperative making problem and solving problem at finish stage. And the control group was provided with general classes based on the contents in teacher's guidebooks. The experiment was performed with the second and third units of the sixth grade, for about two month and obtained the following results: First, students prefer to make supply-type items than multiple choices. And by the Bloom's revised taxonomy of educational objectives, students prefer to make the problem types of 'Factual Knowledge' and 'Conceptual Knowledge'. Also students prefer to make the problem types of 'Understanding' and 'Applying'. Second, cooperative problem making and solving problems at finish stage has same effect on academic achievement in comparison to teacher-driven activity. Third, the experimental group made statistically significant difference in self-efficiency, contrary to the general science classes. Especially, it turned out that a meaningful effect was discovered to a cooperativity, openness. Finally, it turned out that many students thought cooperative making problem and solving problem at finish stage gave the help approving their cooperativity and openness at the investigation of awareness.
Purpose: This study analyzed the effects of virtual reality simulation-based problem-based learning on nursing students' critical thinking ability, problem-solving ability, and self-efficacy in the nursing care of women undergoing induction of labor. Methods: A nonequivalent control group pretest and posttest design was employed. The study participants included 52 nursing students (24 in the experimental group and 28 in the control group). The experimental group took a problem-based learning (PBL) class in the first week, and then engaged in self-directed learning using virtual reality simulation. In the second week, lectures about emergency nursing care for induction of labor and drug administration were given. The control group participated in PBL in the first week and lectures in the second week. The study was conducted from April 17 to May 19, 2023. Data were analyzed using the chi-square test, Fisher exact test, analysis of variance, and the independent t-test. Results: Before-and-after differences between the two groups were statistically significant in problem solving ability (t=-5.47, p<.001) and self-efficacy (t=-5.87, p<.001). Critical thinking ability did not show a statistically significant difference between the two groups. The score for satisfaction with the virtual reality simulation program was 3.64±5.88 out of 5 in the experimental group. Conclusion: PBL education using a virtual reality simulation was found to be an effective way of teaching. Although convenience sampling was used, PBL education using virtual reality can be used as an educational strategy to enhance nursing students' problem-solving ability and self-efficacy.
The purpose of this study was to introduce PBL to dental hygienist education in an effort to raise a question about the inauthentic and inappropriate curriculum. PBL is one of learning methods to enhance the problem-solving ability of learners, and it's attempted to develop a PBL package focusing on dental hygienist roles to lay the foundation for producing competent and expert dental hygienists with a good problem- solving ability. The literature concerned was reviewed from November 2002 through January 2003 to determine whether or not PBL was applicable to dental-hygienist course, and that turned out to be effective for dental hygienist education. And then a PBL package was developed to train students to be knowledgeable and have a knowhow and excellent problem-solving skills. The characteristics of the PBL package could be described as follows: First, that focused on dental hygienist roles to serve the purpose of this study to remedy the current unrealistic and improper curriculum and improve the problem-solving skills of learners. Second, time factor was taken into account. In this four-week course for two credits, there are four classes a week, and it's required to take six or eight weeks to apply the PBL package, which is expected to demotivate students. Therefore, it's planned to conduct more weekly classes to make a proper progress. Third, a wide variety of teaching aids were put to use, and learner would be encouraged to be more interactive and utilize teaching aids properly, and eventually, they could have an opportunity to better express themselves. Fourth, online real-time learner discussion would be attended by this researcher. Learners would have a discussion in real time in the Internet cafe chat room, and different discussion time would be allocated to each team. This researcher would take part in each team's discussion once or more. Fifth, learners would prepare one or more journal(s) about four-hour Internet cafe learning. They have to make it twice a week at least, and it would be a good opportunity for learners to look back on themselves and their teams, and their learning effect would be greater. Specific rules were presented to help them make a successful self-examination. Sixth, there are some spaces in the lower part of objective test sheets to have students describe why they make a particular answer choice. They would be asked to depict the reason of their prior evaluation and lecture assessment especially because their responses would be important for more successful discussion and feedback. Seventh, problem-solving approach was designed to attain learning objectives, stimulate the creative thinking of learners and help them share a more systematic discussion. That would serve as a secondhand guide not to make them digress when they discuss by using information they acquire from a scenario presented in class.
Fraction division is the content that is important but difficult to learn because it includes the process of finding a numerical expression in the real-world context, the process of making a context that matches a numerical expression, how to solve division, and the justification of standard algorithm. This study analyzes the word problems and problem solving methods about fraction division which elementary pre-service teachers represented. Pre-service teachers have more difficulty in making word problem where the dividend is less than the divisor and they also show typical errors in making the word problems. There were differences in the methods presented according to the contexts of division in problem solving. Through this study, it is necessary to rethink the teaching methods for fraction division instruction in the curriculum for pre-service teachers and analyze the formation process of 'knowledge for content and teaching' because of the differences in responses between grades.
International Journal of Advanced Culture Technology
/
v.9
no.4
/
pp.162-168
/
2021
This is a group pretest-posttest design study that aim to evaluate the effect of problem-based learning using flipped learning to self leadership, nursing leadership, and confidence of nursing students. The subjects were 87 4th nursing students who took nursing management from March 15 to April 26, 2021. A questionnaire was used to measure self leadership, nursing leadership, and confidence. The measurement of self leadership is a 5-point Likert scale that employs a questionnaire. Flipped learning uploaded a 5-8 minute lecture video, and the subjects learned on learning management system, using smart device. PBL teaching was developed about personal growth, cooperation, nursing excellence, creative problem solving, influence. As a result of the study, self leadership was significantly improved after education than before education(t=-6.27, p<.001). Nursing leadership and confidence were significantly changed before and after education(t=-16.10, p<.001; t=-2.37, p<.001). According to the results of this study, the PBL teaching method using flipped learning is an effective teaching and learning strategy for improving leadership, and confidence. In future studies, it will be necessary to develope and verify specific teaching and learning methods by applying nursing experts in consideration of the type of leadership.
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