• School Mathematics
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• v.1 no.1
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• pp.235-243
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• 1999

This article is that we develop a learning materials using on the internet with JAVA in middle school mathematics. we construct the learning instruction simulation java program that students can use the applet on the internet for understanding the concepts of mathematics. We service the homepage at internet address. [http://edupark.kongiu.ac.kr]

• Research in Mathematical Education
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• v.25 no.3
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• pp.201-225
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• 2022

This paper details case study vignettes that focus on enhancing the teaching and learning of geometry and measurement in the elementary grades with attention to pedagogical practices for teaching through problem solving with rigor and centering equitable teaching practices. Rigor is a matter of equity and opportunity (Dana Center, 2019). Rigor matters for each and every student and yet research indicates historically disadvantaged and underserved groups have more of an opportunity gap when it comes to rigorous mathematics instruction (NCTM, 2020). Along with providing a conceptual framework that focuses on the importance of equitable instruction, our study unpacks ways teachers can leverage their deep understanding of geometry and measurement learning trajectories to amplify the mathematics through rigorous problems using multiple approaches including learning by doing, challenged-based and mathematical modeling instruction. Through these vignettes, we provide examples of tasks taught through rigorous problem solving approaches that support conceptual teaching and learning of geometry and measurement. Specifically, each of the three vignettes presented includes a task that was implemented in an elementary classroom and a vertically articulated task that engaged teachers in a professional learning workshop. By beginning with elementary tasks to more sophisticated concepts in higher grades, we demonstrate how vertically articulating a deeper understanding of the learning trajectory in geometric thinking can add to the rigor of the mathematics.

• Journal of the Korean School Mathematics Society
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• v.20 no.4
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• pp.537-560
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• 2017

This study aims to investigate secondary mathematics teachers' beliefs about graphing calculator use in mathematics classrooms. For the purpose, we adopted a research instrument that was developed by Brown et. al(2007) and surveyed 32 mathematics teachers about their beliefs about graphing calculator use and teaching practice with calculators in their mathematics instruction. The data analysis suggested that the teachers rarely used calculators in their instruction and they have not had opportunities to use calculators in learning and teaching mathematics. Also, results suggested that the many teachers showed "Crutch beliefs"about the use of calculators in mathematics instruction.

• East Asian mathematical journal
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• v.34 no.2
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• pp.103-125
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• 2018

This study was conducted as a part of the project to evaluate the quality of mathematics instruction in the national curriculum system. The purpose of this study is to measure the consistency between teaching goals of mathematics curriculum, contents presentation of textbooks, and testing including adequacy of each element in mathematics instruction for 8th grade. To do this, we used MIQP (instructional quality profile for Mathematics) developed basing on the instructional quality profile (IQP) in the previous research of the project. First, the quality of textbooks' content presentation for 8th grade was found that the desirable levels in number and operation area and geometric area was relatively less compared to other areas, but it was generally good. Second, it was found that the quality of mathematics testing for 8th grade was good in terms of consistency with the curriculum's teaching goals, consistency with the content presentation of textbooks, and adequacy of testing. However, regional differences in the quality of testing showed that there were some deficiencies in regions outside the metropolitan.

• Journal of Elementary Mathematics Education in Korea
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• v.15 no.2
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• pp.221-246
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• 2011

One of the main purposes in prospective elementary teacher education is to prepare for teaching each subject matter. For this purpose, it is necessary to explore how prospective teachers may analyze elementary mathematics instruction and they perceive their analytic foci. This study probed in what ways prospective teachers analyzed elementary mathematics instruction using two video cases. The results of this study showed that prospective teachers focused mainly on instructional strategies, specifically with regard to whether such strategies would be adequate both for mathematical content to be taught and for students' characteristics. They also focused on the effective use of instructional materials as well as the case teacher's adequate feedback. Prospective teachers claimed to have analytic foci not only on the degree of attainment of instructional purposes but also on students' responses and interest. Given this result, this paper includes several issues related to help prospective teachers prepare for better teaching.

• Journal of the Korean School Mathematics Society
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• v.14 no.3
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• pp.241-263
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• 2011

On the standards or elements of teaching evaluation, the Korea Institute of Curriculum and Evaluation(KICE) has carried out several research as follows : 1) establishment of observation elements for selecting examples of good mathematics instruction between 2001 and 2002, 2) development of the standards on teaching evaluation between 2004 and 2006, and 3) investigation on the elements of Pedagogical Content Knowledge including ‘teaching and learning methods and assesment' between 2007 and 2008. The purposes of development of mathematics teaching evaluation standards through those studies were to improve not only mathematics teachers' professionalism but also their own teaching methods or strategies. In this study, the standards were revised and modified by analyzing the results of those three studies (namely, evaluation standards) focused on the knowledge of 'teaching and learning methods and assessment'. For this purpose, seventh evaluation domains such as instruction involving instructional goal and content, instruction involving problem-solving activity, instruction involving learners' achievement level and attitude, instruction on communication skills, planning of assessment method and procedure, development on assessment tool, application on assessment result in class were new established. According to those seventh evaluation domains, elements on teaching evaluation focused on the knowledge of 'teaching and learning methods and assessment' were established.

• Education of Primary School Mathematics
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• v.21 no.3
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• pp.273-287
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• 2018

The purpose of this study was to analyze changing aspect of teacher and student's value in mathematics instruction. For this purpose, teacher and student's value are analyzed through value questionnaire by four times. The results of this study revealed that although value are individual's deep decision mechanism, it could change considerably by the time. Teacher wasn't compel students to follow her value. Rather, teacher was modified instruction goal to reflect students thinking what is important in mathematics lesson. First, in case of mathematical value, rationalism, objectism, mystery were convergent each other. And control was almost unchanged and openness has been onwards and upwards. Second, in case of mathematics educational value, understanding, pleasure, terminology and application were convergent each other. However achievement was almost unchanged. Also, to teach effectively, teacher using several kinds strategy while negotiate with student's value continuously. On the basis of these results, this paper includes several implications for the future study about values in mathematics which could be the critical factor in student centered instruction.

• Education of Primary School Mathematics
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• v.12 no.2
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• pp.99-115
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• 2009

One of remarkable characteristics of 2007 revised mathematics national curriculum is the emphasis of communication in classroom. It does not mean only listening students' comments. In other words, it is different from presentation of individuals' thoughts. In the paper, teaching and learning practices required teachers who want to establish classroom culture supporting harmonious communication in mathematics instruction.

• Journal of Educational Research in Mathematics
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• v.14 no.4
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• pp.421-434
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• 2004

Cognitively Guided Instruction (CGI) is one of the most successful professional development programs for elementary mathematics teachers in US. This article introduces its theoretical background, research-based framework of addition and subtraction work, and how the program has been disseminated. Carpenter and Fennema started CGI aiming to develop a professional development program that focused on research knowledge of children"s thinking. Their goal was. to bring a significant change in teaching by helping teachers understand how children think mathematically. This 3-year NSF funded project grew to be 11-year long, and a number of publications have reported consistent successful learning and teaching by CGI students and teachers compared to counterparts throughout US. CGI′s success by focusing on improving teachers′ knowledge of children′s thinking offers possible opportunities for teacher educators to re-conceptualize teacher education in Korea.

• The Mathematical Education
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• v.49 no.2
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• pp.223-246
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• 2010

Goos(2004) introduced educational researchers' demand for change on the way that mathematics is taught in schools and the series of curriculum documents produced by the National council of Teachers of Mathematics. The documents have placed emphasis on the processes of problem solving, reasoning, and communication. In Korea, the national curriculum documents have also placed increased emphasis on mathematical activities such as reasoning and communication(1997, 2007).The purpose of this study is to analyze the impact of inquiry-oriented instruction with guided reinvention on students' mathematical activities containing communication and reasoning for science high school students. In this paper, we introduce an inquiry-oriented instruction containing Polya's plausible reasoning, Freudenthal's guided reinvention, Forman's sociocultural approach of learning, and Vygotsky's zone of proximal development. We analyze the impact of mathematical findings from inquiry-oriented instruction on students' mathematical activities containing communication and reasoning.