• Education of Primary School Mathematics
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• v.10 no.1 s.19
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• pp.29-39
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• 2007

This paper is to give a brief introduction to a new discipline called 'conceptual metaphor' and 'mathematical metaphor(Lakoff & Nunez, 2000) from the viewpoint of mathematics education and to analyze the metaphors at 4th graders' mathematics classroom as a case of conceptual metaphors. First, contemporary conception on metaphors is reviewed. Second, it is discussed on the effects and defaults of metaphors in teaching and learning mathematics. Finally, as a case study of mathematical metaphors, conceptual metaphors on the concepts of triangles at 4th graders' mathematics classrooms are analyzed. Students may reason metaphorically to understand mathematical concepts. Conceptual metaphor makes mathematics enormously rich, but it also brings confusion and paradox. Digging out the metaphors may lighten both our spontaneous everyday conceptions and scientific theorizing(Sfard, 1998). Studies of metaphors give us the power of understanding the culture of mathematics classroom and also generate it.

• Education of Primary School Mathematics
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• v.22 no.3
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• pp.167-180
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• 2019

This study analyzed the effects of the educational contextual variables on fourth grade students' mathematics achievement in five East Asian countries(Singapore, Hong Kong Taiwan, Japan and Korea) using TIMSS 2015 data. There are four findings of this study. The first is that the common student-home-level variables that give significant influence on the mathematics achievement in all 5 countries are 'Home resources for learning' and 'Parents' educational expectations'. But 'Literacy and numeracy activities before entering a school' and 'Parents' attitude for mathematics and science' are not common variables. The second is that 'Students' interest in math learning' gave significant influence on the mathematics achievement of in all 5 countries. The third is that 'Teaching limited by student needs' does not give significant influence on the math achievement in Korea, Taiwan, and Japan but in Singapore and Hong Kong. The fourth is that 'Student economic background' gave more significant influence in Korea, Taiwan, and Japan than Singapore and Hong Kong. Suggestions to improve elementary school mathematics teaching and learning are discussed in the conclusion.

• Journal of Elementary Mathematics Education in Korea
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• v.23 no.1
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• pp.143-168
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• 2019

Along with the significance of algebraic thinking in elementary school, it has been recently emphasized that the properties of number and operations need to be explored in a meaningful way rather than in an implicit way. Given this, the purpose of this study was to analyze how third graders could understand the properties of operations in multiplication after they were taught such properties through a reconstructed unit of multiplication. For this purpose, the students from three classes participated in this study and they completed pre-test and post-test of the properties of operations in multiplication. The results of this study showed that in the post-test most students were able to employ the associative property, commutative property, and distributive property of multiplication in (two digits) × (one digit) and were successful in applying such properties in (two digits) × (two digits). Some students also refined their explanation by generalizing computational properties. This paper closes with some implications on how to teach computational properties in elementary mathematics.

• The Mathematical Education
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• v.62 no.3
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• pp.401-416
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• 2023

This study systematically examined the influence of preservice teachers' self-efficacy and AI anxiety, on the intention to use AI programs 'knock-knock! mathematics expedition' in mathematics lessons based on a technology acceptance model. The research model was established with variables including self-efficacy, AI anxiety, perceived ease of use, perceived usefulness, and intention of use from 254 pre-service teachers. The structural relationships and direct and indirect effects between these variables were examined through structural equation modeling. The results indicated that self-efficacy significantly affected perceived ease of use, perceived usefulness, and intention to use. In contrast, AI anxiety did not significantly influence perceived ease of use and perceived usefulness. Perceived ease of use significantly affected perceived usefulness and intention to use and perceived usefulness significantly affected intention to use. The findings offer insights and strategies for encouraging the use of 'knock-knock! mathematics expedition' by preservice teachers in mathematics lessons.

• Communications of Mathematical Education
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• v.26 no.1
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• pp.71-84
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• 2012

The purpose of this study is to analyze some Korean elementary pre-service teachers' Mathematical Knowledge for Teaching(MKT) and compare the results with those obtained by Kwon, Nam, & Kim(2009), so that we can provide some suggestions to improve education of elementary mathematics subject at Korean teachers colleges. For this purpose, we selected the MKT items on number and operations which were adapted for Korean in-service teachers by Kwon et al. The survey consisting of those items was administered to 88 Korean elementary pre-service teachers at teachers college, J University. The results are the following: First, the respondents, elementary pre-service teachers, showed that they already had a sufficient amount of Content Knowledge(CK) on number and operations, but that their level of Knowledge of Content and Students(KCS) was insufficient. This means we need to strengthen our students' KCS in education of elementary mathematics subject at our teachers colleges. Second, there was a strong correlation, in both CK and KCS, of item difficulty felt by the respondents with that by the Kwon et al's in-service teachers. Third, although the respondents valued the MKT items more than the above-mentioned elementary in-service teachers, about 70% of them said the items were never learned at their college. Furthermore, they had different opinions on some of the items from their counterparts'. The suggestions we get here are we need to first consider the results in improving education of elementary mathematics subject at our teachers colleges and second develop MKT items suitable for the situation of Korean schools and curriculums in order to obtain exact estimations of Korean elementary pre-service teachers' MKT.

• Education of Primary School Mathematics
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• v.14 no.2
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• pp.165-185
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• 2011

The purpose of this study is to confirm the effects of the learner-centered instruction based on constructivism on learners' reasoning ability and their achievements which is closely related to reflective abstracting ability. To do it, learner-centered instructions for division was implemented, recall test, generation test, content reasoning test I and II were carried out. The following conclusions were drawn from the data we got. Experimental group(EG) improved their reasoning ability, while comparison group(CG) did not. EG showed statistically significant difference in the achievements of the contents learned in comparing with CG, and the difference in the achievements of the contents unlearned in the treatment in comparing with CG was higher than the one. In addition, the comparisons of the subgroups(high, middle, and low) between EG and CG showed that the treatment had a positive influence on the achievement to all subgroups in EG. That is, the treatment was effective for unable learners. Finally, EG showed statistically significant difference in the sub-domain of simple calculation which might be considered as the benefits of the treatment of the CG as well as in the sub-domain of concept and principle.

• Journal of the Korean School Mathematics Society
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• v.10 no.4
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• pp.557-571
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• 2007

The purpose of this paper was to develope a model for enhancement of mathematics education using participatory mathematics. Traditionally, mathematics has been considered ready-made and students need to practice it without real applications of mathematics. The 6th grade students in the two classrooms participated in the 60 class hours and the researcher and observers investigated students' achievements and reactions. In this model, students actively apply mathematics to real-life problems and futhermore change our life, which is one of the unique elements. Thus, students can experience mathematical power while they do mathematics. Every student need to experience with this model several times in a semester so that he or she can be active a citizen to change society a better place.

• Journal of Elementary Mathematics Education in Korea
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• v.8 no.1
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• pp.89-108
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• 2004

Elementary mathematics education in the 7th mathematics curricula has been emphasized to foster ‘mathematical power’. For establishing this purpose, we need to provide the opportunities inducing to students' thoughts and to study leaching-learning methods to make structuring for their thinking process. Using to writing activities in students' mathematics learning, we think that we can find out their thinking process and this writing mathematics learning method is effective to promote their communication. Through analysing to six grade mathematics textbooks, we devised to mathematical writing types and teaching/learning models could being utilized in mathematics classes. And we investigated the influence of mathematical writing on the learning ability of students. We have experimented and investigated to after dividing experimental objects into two groups, experimental group and comparative group. We founded out, through these researches for mathematical writing teaming, that the experimental group of the former had obtained greatly better results than the latter in mathematical learning abilities and studying achievements. Based on these result, it is required to have an accumulation of research on teaching-teaming methods by using various types of mathematical writing study.

• Education of Primary School Mathematics
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• v.20 no.3
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• pp.225-235
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• 2017

The study in this paper considers how elementary school students' interest in mathematics and STEAM literacy could be promoted by conjoining the learning of mathematics with the learning of drone topics. Survey instrument was developed to measure student attitudes toward mathematics and science subjects and to evaluate student beliefs on learning mathematics embedded in science topics. Data were collected from elementary school students by administering pre- and post-tests: students were intervened with examples of math problems embedded in certain science contexts. The findings indicate that elementary school students' experience of solving mathematics problems embedded in science contexts positively affects the promotion of their attitudes toward, beliefs on science subjects and science and engineering career path selection. We hope that the mathematics program using the drone will be used in the classroom for STEAM.

• Education of Primary School Mathematics
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• v.15 no.2
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• pp.135-145
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• 2012

In this research, we observed how students perform as they followed the teachers' instruction, and consequently perform their realized potential. As the accountability of school education is emphasized, various attempts try to disconnect the vicious cycle of producing low achievers. Efforts are allocated into developing a method to minimize cumulative effect of the lag in educational benefit by focusing on the elementary education. Based on the 2007 revised curriculum, mathematics achievement level and assessment criteria were developed. These criteria were used to standardize the course and assessment objectives for 4th through 6th grade students' mathematics studies, and to assess lower performing students and the lag in their mathematical understanding. The educational materials and assessment criteria can be expected to lead lower performing students by giving them the personalized lesson plans to minimize the lag of mathematical understanding, and eventually expedite their progress and prevent cumulative effect of the lag in the following curriculum.