• Research in Mathematical Education
• /
• v.27 no.3
• /
• pp.335-365
• /
• 2024

Learning mathematics in a student-centered, problem-based classroom requires students to develop mathematical understanding and reasoning collaboratively with others. Despite its critical role in students' collaborative learning in groups and classrooms, evidence of student thinking has rarely been perceived and utilized as a resource for planning and teaching. This is in part because teachers have limited access to student work in paper-and-pencil classrooms. As an alternative approach to making student thinking visible and accessible, a digital collaborative platform embedded with a problem-based middle school mathematics curriculum is developed through an ongoing design-based research project (Edson & Phillips, 2021). Drawing from a subset of data collected for the larger research project, we investigated how students generated mathematical inscriptions during small group work, and how teachers used evidence of students' solution strategies inscribed on student digital workspaces. Findings show that digital flexibility and mobility allowed students to easily explore different strategies and focus on developing mathematical big ideas, and teachers to foreground student thinking when facilitating whole-class discussions and planning for the next lesson. This study provides insights into understanding mathematics teachers' interactions with digital curriculum resources in the pursuit of students' meaningful engagement in making sense of mathematical ideas.

• The Mathematical Education
• /
• v.60 no.1
• /
• pp.77-110
• /
• 2021

In this study, a student participation-centered class based on student mathematical thinking as a the meaningful subject was called a student thinking-based math class. And as a way to support these classes, I paid attention to lesson design. For student thinking-based mathematics classes, it is necessary not only to anticipate student thinking and teacher feedback, but also to plan in advance how to properly arrange and connect expected student responses. The student thinking-based lesson design template proposed in this study is a modified three-step(introduction, main topic, summary) lesson design template. The reason for revising the existing design template is that it has limitation that it cannot focus on mathematical thinking. Using the conceptual framework of student thinking-based mathematics lesson as a lens, the difference between the three-step lesson design prepared by pre-service teachers and the students' thinking-based lesson design prepared by the same pre-service teachers was analyzed. As a result of planning lessons using the student thinking-based lesson design, more attention was paid to the cognitive and social engagement of students. In addition, emphasis was placed in the role of teachers as formative facilitator. This study is of significant in that it recognizes the importance of classes focusing on students' mathematical thinking and provides tools to plan math classes based on students' thinking.

• Research in Mathematical Education
• /
• v.1 no.1
• /
• pp.75-85
• /
• 1997

One of the main objectives of school mathematics education is to develop a student' intuition and logical thinking [11]. But two -valued logical thinking, in fact, is not sufficient to express the concepts of a student's mind since intuition is fuzzy. Hence fuzzy -valued logical thinking may be a more natural way to develop a student's mathematical thinking.

• The Mathematical Education
• /
• v.40 no.2
• /
• pp.253-263
• /
• 2001

Developing mathematical thinking skills is one of the most important goals of school mathematics. In particular, recent performance based on assessment has focused on the teaching and learning environment in school, emphasizing student's self construction of their learning and its process. Because of this reason, people related to mathematics education including math teachers are taught to recognize the fact that the degree of students'acquisition of mathematical thinking skills and strategies(for example, inductive and deductive thinking, critical thinking, creative thinking) should be estimated formally in math class. However, due to the lack of an evaluation tool for estimating the degree of their thinking skills, efforts at evaluating student's degree of mathematics thinking skills and strategy acquisition failed. Therefore, in this paper, mathematical thinking was studied, and using the results of study as the fundamental basis, mathematical thinking process model was developed according to three types of mathematical thinking - fundamental thinking skill, developing thinking skill, and advanced thinking strategies. Finally, based on the model, evaluation factors related to essential thinking skills such as analogy, deductive thinking, generalization, creative thinking requested in the situation of solving mathematical problems were developed.

• The Journal of Korean Association of Computer Education
• /
• v.20 no.6
• /
• pp.37-45
• /
• 2017

In this paper, I analyzed on the differnce of thinking for SW education of SW education research schools' students in 2016 according to background variables - school level, period of SW education and time of internet using. Also, I analyzed the corelation between student's thinking for SW education and background variables. As a result, I found the lower school level and the longer period of SW education, the more positive thinking for SW education is. Also, I found that when time of student's internet using are 1 hour or 2 hour, student's thinking for SW education is the most positive. But I confirmed that the period of SW education and time of student's internet using didn't give any influence to student's think for SW education. Based on result of analysis, I proposed necessities for research of method that method middle school student feel interesting on SW education and method that student keep interesting on long-term SW education.

• Journal of Korean Elementary Science Education
• /
• v.33 no.3
• /
• pp.558-565
• /
• 2014

The purpose of this study was to compare thinking styles between the gifted students in science and invention The subjects were 191 gifted elementary students in science and 182 gifted elementary students in invention, who enrolled in gifted education program. They were given the Thinking Style Inventory (TSI) that standardized Korea version by Yun (1997), which constructed 13 thinking styles of 5 dimensions (functions, forms, levels, scopes, and leanings of the mental self-government). The collected data were analyzed by independent sampling t-test and ANOVA with SPSS. The findings of this study were as follows: the gifted in science prefer executive, oligarchic, and global thinking styles rather than the gifted in invention. Meanwhile, the gifted in invention prefer legislative, judicial, local, and liberal thinking styles rather than the gifted in science. Both of the gifted in science and invention prefer legislative, executive, monarchic, anarchic, external, and liberal thinking styles. There was statistically significant differences between boys and girls in executive, oligarchic, local, and liberal thinking styles of the gifted in science.

• Journal of Korean Academy of Fundamentals of Nursing
• /
• v.14 no.4
• /
• pp.412-419
• /
• 2007

Purpose: This study was done to analyze core competencies affecting critical thinking ability of student nurses. Core competencies investigated in this study were problem solving ability, communication ability and self-directed learning ability. Method: Data were collected from a convenience sample of 322 student nurses in 2 provinces during the period from May 21 to June 8, 2007. Critical thinking, problem solving ability, communication ability and self-directed learning ability were measured using the Disposition towards Critical Thinking Scale by Park(1999-a) and the Core Competencies Scale by Lee(2003). Descriptive statistics and correlation coefficients with the SPSS WIN 12.0 program were used to analyze the data. Results: There were significant differences in the critical thinking according to grade, type of high school, experience with PBL, preference for lecture-based learning, preference for discussion and perceived logicality. The score for critical thinking showed significantly positive correlations with scores for problem solving ability(r=0.54, p=0.00), communication ability(r=0.56, p=0.00) and self-directed learning ability(r=0.54, p=0.00). Conclusion: The results of this study suggest that problem solving ability, communication ability and self-directed learning ability are significant factors affecting critical thinking in student nurses.

• Journal of the Korean Society of Earth Science Education
• /
• v.3 no.1
• /
• pp.47-54
• /
• 2010

The purpose of this study is finding examine the Thinking Maps and how to use Thinking Maps effectively in Science Education. The result of this study were as follows: First, There are 8 type Maps, Circle Map, Tree Maps, Bubble Map, Double Bubble Map, Flow Map, Multi Flow Map, Brace Map, Bridge Map. Each Maps are useful in the following activities ; Circle Map-Express their thoughts. Tree Map-Activities as like determine the structure, classification, information organization. Bubble Maps-Construction. Double Bubble Map-Comparison of similarities and differences. Flow Map-Set goals, determine the result of changes in time or place. Multi Flow Map-Analysis cause and effect, expectation and reasoning. Brace Map-Analysis whole and part. Bridge Map-Activities need analogies. Second, each element of inquiry has 1~2 appropriate type of Thinking Maps. So student can choose the desired map. Third, the result of analysing of Science Curriculum Subjects, depending on the subject variety maps can be used. Therefore the Thinking Maps can be used for a variety on activities and subject. And student can be selected according to their learning style. So Thinking Maps are effective to improve student's Self-Directed Learning.

• Communications of Mathematical Education
• /
• v.35 no.1
• /
• pp.37-74
• /
• 2021

In this study, the student participation-centered class, which takes students' mathematical thinking as an important issues of the class, is named as student thinking-based math class. The main characteristics of student thinking-based mathematics classes were examined in terms of tasks, students engagement, and the role of teachers. According to the results of analysis of class cases practiced by five secondary mathematics teachers, student thinking-based mathematics classes were conducted in the intersection of the rich mathematics tasks, students' cognitive and social engagement, and the role of teachers' formative facilitator. The results of this study showed that the student's thinking is more important than the activity itself. And it is meaningful in that it examines the influence of the dynamic interaction of the three components of the mathematics class on the direction and outcome of the class.

• School Mathematics
• /
• v.1 no.2
• /
• pp.483-512
• /
• 1999

The purpose of the research was to investigate the patterns of student's mathematical thinking and behavior and describe the nature of difficulties the student underwent in trigonometry as the student conducted independent explorations within the interactive technology environment. Also, the research identified the connections among multiple representations and merits and shortcomings in using a graphic calculator as a tool. A take-based clinical interview procedure as the method for qualitative research was used to find the cognitive actions of the participant and his interactions with the graphic calculator. A case study report was written for the student. The researcher found that the student moved from operative stage, to constructive stage, to applicable stage of thinking. From Colgan; Graphing has significance both to mathematics and mathematics education in at least three ways since: * graphing represents an important technique, instrument and process in mathematics; * through ‘graphing’, per se, students can be said to be using one symbolic system to extend and acquire an understanding of another(e. g., trigonometric functions and their graphs). * graphing is propaedeutic to other, more advanced topics and concepts in mathematics.