• Korean Journal of Child Education & Care
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• v.17 no.4
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• pp.145-161
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• 2017

The purpose of this study was to analyze the relationship among NCS basic vocational competencies, Teaching Personality Aptitude and DISC behavior type of pre-preschool teachers. The subjects were 110 pre-preschool teachers attended in D university located in Kyonggido. 'NCS basic vocational competencies scale', 'Teaching Personality and Aptitude scale', and 'DISC behavior type scale' were used in the collection of data. It used Pearson's correlation Analysis to analyze the data. The results of this study are as follows; first, there was positive correlations between dominance trait and mathematical competency. And, there was positive correlations between interaction trait and self-development competency. And there were negative correlations between support traits and NCS basic vocational competencies. Second, it was revealed that positive correlations between almost sub scale's of NCS basic vocational competencies and teacher teaching personality aptitude. Third, there was positive correlations between dominance trait and sub scale of teaching personality aptitude(e.g.: problem solving/ inquiry skills, judgment, creativity/practical ability, leadership, knowledge/information ability, planning ability, sincerity/responsibility). And there were negative correlations between support traits and sub scale of teaching personality aptitude(e.g.: problem solving/ inquiry skills, judgment, creativity/practical ability, leadership, sincerity/responsibility).

• Journal of Educational Research in Mathematics
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• v.15 no.3
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• pp.251-272
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• 2005

Given that cognitive demands of mathematical tasks can be changed during instruction, this study attempts to provide a detailed description to explore how tasks are set up and implemented in the classroom and what are the classroom-based factors. As an exploratory and qualitative case study, 4 of six-grade classrooms where high-level tasks on ratio and proportion were used were videotaped and analyzed with regard to the patterns emerged during the task setup and implementation. With regard to 16 tasks, four kinds of Patterns emerged: (a) maintenance of high-level cognitive demands (7 tasks), (b) decline into the procedure without connection to the meaning (1 task), (c) decline into unsystematic exploration (2 tasks), and (d) decline into not-sufficient exploration (6 tasks), which means that the only partial meaning of a given task is addressed. The 4th pattern is particularly significant, mainly because previous studies have not identified. Contributing factors to this pattern include private-learning without reasonable explanation, well-performed model presented at the beginning of a lesson, and mathematical concepts which are not clear in the textbook. On the one hand, factors associated with the maintenance of high-level cognitive demands include Improvising a task based on students' for knowledge, scaffolding of students' thinking, encouraging students to justify and explain their reasoning, using group-activity appropriately, and rethinking the solution processes. On the other hand, factors associated with the decline of high-level cognitive demands include too much or too little time, inappropriateness of a task for given students, little interest in high-level thinking process, and emphasis on the correct answer in place of its meaning. These factors may urge teachers to be sensitive of what should be focused during their teaching practices to keep the high-level cognitive demands. To emphasize, cognitive demands are fixed neither by the task nor by the teacher. So, we need to study them in the process of teaching and learning.

• Communications of Mathematical Education
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• v.30 no.2
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• pp.161-178
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• 2016

Mathematics problem based learning(PBL), which has recently attracted much attention, is a teaching and learning method to increase mathematical ability and help learning mathematical concepts and principles through problem solving using students' mathematical prerequisite knowledge. In spite of such a quite attention, it is not easy to apply and practice PBL actually in school mathematics. Furthermore, the recent instructional situations or environments has focused on student's self construction of their learning and its process. Because of this reason, to whom is related to mathematics education including math teachers, investigation and recognition on the degree of students' acquisition of mathematical thinking skills and strategies(for example, inductive and deductive thinking, critical thinking, creative thinking) is an very important work. Thus, developing mathematical thinking skills is one of the most important goals of school mathematics. In particular, recently, connection or integration of one subject and the other subject in school is emphasized, and then mathematics might be one of the most important subjects to have a significant role to connect or integrate with other subjects. While considering the reason is that the ultimate goal of mathematics education is to pursue an enhancement of mathematical thinking ability through the enhancement of problem solving ability, this study aimed to implement basically what is the meaning of the integrated thinking ability in problem based learning theory in Mathematics. In addition, using historical materials, this study was to develop mathematical materials and a sample of a concrete instructional guideline for enhancing integrated thinking ability in problem based learning program.

• The Mathematical Education
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• v.63 no.3
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• pp.451-466
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• 2024

This study investigated elementary preservice teachers' conceptions of a generating line, an ambiguous concept in school mathematics. The preservice teachers' conceptions of a generating line can be classified into four types: (a) only cones have generating lines, (b) only cones and cylinders have generating lines, (c) solids of revolution have generating lines, (d) straight lines on the lateral surface are generating lines. 22.1% of all preservice teachers believed that only cones have generating lines, and most of them followed the definition of a generating line presented in elementary mathematics textbooks. The conception that only cones and cylinders have generating lines was the least investigated. However, since there were instances where generating lines were defined with the use of a director curve, it became important to explore topics more thoroughly, such as generating lines of a truncated cone. 27.9% of all preservice teachers believed that solids of revolution have generating lines. This conception was marked by differing opinions on whether spheres also have generating lines. The conception that straight lines on the lateral surface are generating lines was the most frequently investigated. This conception differs from the traditional view in school mathematics because it suggests using a director curve to define generating lines. Based on these analysis results, the researcher developed specific teaching methods that considered both subject matter knowledge and pedagogical content knowledge for preservice teachers. In addition, the researcher proposed a consensus definition of a generating line in mathematics education.

• The Mathematical Education
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• v.58 no.2
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• pp.239-262
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• 2019

This study deals with the anxieties that originated from specific student questions. Through the analysis of the textbooks, we confirmed that the question was a sufficiently plausible question. Third interviews were also held with three high school students. Through the interviews, we analyzed students' expressions about the new correspondence relationship that the two correspondence relations are linked. In the determination of the composite function and the determination of the inverse function existence, We have observed a case of how the worries about domain are being reconstructed from students into meaningful mathematical knowledge. Through this, we confirmed that the question will be confusing to students in the field. In this study, we observed the transfer of domain in relation to student domain in composite function. In particular, a present study revealed that the students involved in the interview were influenced by this domain transfer phenomenon in determining whether the task given in the interview was a function. This was the same in determining the existence of a inverse function. The examples presented in this study are limited to specific cases in limited circumstances. Therefore, it can not be applied directly to teaching and learning situations. However, it is expected that this study will provide other researchers with insight into function learning related research.

• School Mathematics
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• v.5 no.3
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• pp.315-342
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• 2003

The goals of this study are basically to analyze the lectures related to mathematics education in national universities of education and in education training institutes, and ultimately to suggest the collaboration in the lectures related to mathematics education in national universities of education and education training institutes. In order to achieve the above goals, five universities were selected. Summing up these results, we suggest several ways to collaborate the mathematics education lectures in national universities of education and education training institutes. First, the training education in the national university of education has to offer more lectures which deal with the theory related with mathematical education and the fundamental area of mathematics. In addition to this, teaching in contents in terms of the area has to focus on the background knowledge related to the teaching contents. Second, based on the training education, the assigned education training institute has to reflect the periodical and social condition. In addition to this, it has to reflect the real condition around the school environment. With those efforts it has to make new kinds of lectures which concentrate on the recent trend or the understanding of the theory related with mathematical education. In this case, both obligatory and elective courses have to be offered. Third, the education training institute responsible for the staff development program has to open lectures with the contexts of real time teaching activities based on the experiences of the teachers. In this case, one or two particular subjects have to be dealt with in depth and lecturers have to be selected who are suitable for the lectures.

• The Mathematical Education
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• v.62 no.1
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• pp.57-78
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• 2023

Students' engagement in lessons not only determines the direction and result of the lessons, but also affects academic achievement and continuity of follow-up learning. In order to provide implications related to teaching strategies for encouraging students' engagement in elementary mathematics lessons, this study implemented lessons for middle-low achieving fifth graders using open-ended tasks and analyzed characteristics of students' engagement in the light of the framework descripors developed based on previous research. As a result of the analysis, the students showed behavioral engagement in voluntarily answering teacher's questions or enduring difficulties and performing tasks until the end, emotional engagement in actively expressing their pleasure by clapping, standing up and the feelings with regard to the topics of lessons and the tasks, cognitive engagement in using real-life examples or their prior knowledge to solve the tasks, and social engagement in helping friends, telling their ideas to others and asking for friends' opinions to create collaborative ideas. This result suggested that lessons using open-ended tasks could encourage elementary students' engagement. In addition, this research presented the potential significance of teacher's support and positive feedback to students' responses, teaching methods of group activities and discussions, strategies of presenting tasks such as the board game while implementing the lessons using open-ended tasks.

• Communications of Mathematical Education
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• v.32 no.4
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• pp.537-554
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• 2018

The era of the Fourth Industrial Revolution calls for creativity - convergence talent. In addition to having mathematical knowledge, they can create new technologies by linking them to other fields. This social trend is also reflected in the 2015 revised curriculum, and plans to further expand the STEAM education emphasized since 2011. Many teachers who had previous experience with STEAM training were satisfied with the STEAM teaching effectiveness. However, the reality is that the lack of expertise in other subjects is causing a burden on the ongoing implementation of convergence education. One way to alleviate these teachers' burden is to find the STEAM elements and then apply. Since the convergence education is required continuously, it is necessary to analyze the textbook according to the 2015 curriculum. In this study, we examined how the elements of the STEAM were apply in 7th grade textbooks. Based on the classification framework proposed by Yakman (2008), a new classification framework was devised and applied to the analysis.

• Communications of Mathematical Education
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• v.38 no.1
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• pp.1-26
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• 2024

As the limitations of professional development programs and individual attempts to improve teaching expertise have been reported, mathematics teachers have operated various types of teacher learning communities as alternative teacher professional programs. A teacher learning community can be considered a Community of Practice(CoP) in that it satisfies three factors of Cop, which are common purpose, mutual participation, and shared repertoire, so the 'learning' of a teacher community can be interpreted based on the theory of CoP. The purpose of this study is to investigate the process of identity development of five mathematics teachers who have been continuously involved in teacher communities. For this, the researcher collected data on the entire process of community activities through participant observation and conducted individual follow-up interviews to explore mathematics teachers' narratives and personal experiences. Results indicated that mathematics teachers experienced the development of practical knowledge related to mathematics teaching and learning, improvement of teaching practice through continuous reflection and introspection, and recognization the shared value of togethering through community immersion. Based on these experiences, implications for the effective operation of learning communities such as national support of teacher learning communities and horizontal and cooperative teacher norms were discussed, and follow-up research was proposed.

• School Mathematics
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• v.15 no.4
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• pp.819-832
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• 2013

This study was performed to investigate the pedagogical knowledge of pre-service teachers and to explore the possibility of using Lesson Play in pre-service teacher education. Lesson Play refers to a lesson written in script form, featuring imagined interactions between a teacher and his/her students. The participants of this study were 20 pre-service teachers enrolled in mathematics education at a University in Seoul and they conducted a dialogue between a teacher and students who said that 91 is a prime number and 462 is a multiple number of 4. Conclusions were drawn based on the virtual scripts of pre-service teachers. First, it was found that the teaching strategies of pre-service teachers were not diverse. Second, pre-service teachers mainly explained the mathematical principles and concepts. Third, pre-service teachers could not understand the current state of students. Therefore, Lesson Play is helpful to analyse the pedagogical knowledge of pre-service teachers and is a applicable teaching method that can improve the practical knowledge of pre-service teachers.