• Research in Mathematical Education
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• v.18 no.3
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• pp.209-221
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• 2014

In the last few decades there has been much interest in how mathematics can be effectively taught and learnt. The Third Wave is a unique ongoing international collaborative mathematics education research project, which aims to explore the relevant values of effective school mathematics teaching from both the teacher and student perspectives. As part of this project, this study investigates the related findings from students on the Chinese mainland. Multiple data were collected through classroom observations, focus group interviews, and written, open-ended questions. Twenty-four students from junior and senior secondary schools were invited to write down their views on an effective lesson, a good mathematics teacher, and how to do well in mathematics learning. Results showed that among the eight values determined in the study, the values of involvement, explanation, and examples were embraced by students across all grades. Students preferred teacher-led mathematics teaching. Junior secondary students placed more value on teachers' personalities, whereas senior students placed more value on teachers' teaching manners.

• School Mathematics
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• v.9 no.3
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• pp.327-352
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• 2007

The Korea Institute of Curriculum and Evaluation(KICE) has carried out the research on the development of the standards on teaching evaluation between 2004 and 2006, and particularly on the 'mathematics' teaching evaluation in 2006. The purpose of development of mathematics teaching evaluation standards is to improve not only mathematics teachers' professionalism but also their own teaching methods or strategies. The standards on mathematics teaching evaluation were developed based on the standards on general (not individual subject) teaching evaluation. They were revised and modified by analyzing the results of the interviews and survey with teachers about the adaptability of the standards in school. The standards were classified into four major areas of knowledge, planning, practice, and professionalism. Each area of these four were categorized into 6 smaller divisions and 36 elements. In addition, it was presented that brief descriptions on each teaching evaluation standards(element), guideline for evaluation methods, evaluator's observation index, and performance level with explanation for the standard achievement in four stages.

• East Asian mathematical journal
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• v.38 no.2
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• pp.143-164
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• 2022

Computer technology in mathematics teaching-learning is not for teaching computer but for improving mathematics teaching-learning with computer. It is shown the use of computer technology comparing with traditional approach provides students more opportunities in order to approach abstract structure. Computer activity provides not only understanding concepts of analysis and opportunity to investigate theory but also effective background in teaching analysis. We analyze students' computer usage level on analysis education by using computer usage level according to role of computer technology. We try to get an useful educational implication on analysis education applying MATLAB through qualitative research.

• The Mathematical Education
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• v.41 no.3
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• pp.257-271
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• 2002

As a part of attempts to understand better mathematics classroom culture, this paper first reviews plausible factors which influence the mathematics teacher's own development of instructional goals. The proposed factors consist of teacher characteristics and sociocultural factors. The teacher factors include learning and teaching experience, knowledge, beliefs, and personality traits. The sociocultural factors include cultural and educational norms, curriculum development and administration, teacher education, and professional models with community, This paper then presents detailed interview questions to explore significant influences on the teacher's conceptions of mathematics and its teaching. The interview probes 12 topic areas: (a) early influences on becoming a teacher, (b) the decision to become a teacher, (c) the teacher education years, (d) early mathematics interests, (e) early teaching experiences, (f) career path, (g) influence of peers within the school, (h) influence of administrators, (i) professional development, (j) professional self-development, (k) mathematics teaching, and (i) educational policies.

• Research in Mathematical Education
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• v.19 no.2
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• pp.141-153
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• 2015

This paper compares and contrasts the perspectives of effective mathematics teaching by 135 elementary school teachers, 132 middle school teachers, and 124 high school teachers using a questionnaire in South Korea. All groups of teachers chose in common the teaching and learning strand as the most important for effective mathematics instruction. However, elementary school teachers placed greater importance on the curriculum and content strand than their counterparts did. Elementary school teachers tended to agree more upon the 48 items related to good mathematics teaching than their counterparts did. The similarities and differences among the groups of teachers are expected to provoke discussion of what constitutes high-quality mathematics instruction and how such perspectives may be situated in the socio-cultural context.

• The Mathematical Education
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• v.51 no.2
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• pp.173-189
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• 2012

This study investigated elementary and secondary mathematics teachers' views on: (1) Requirements for good mathematics teaching (2) what professional development programs and supports are needed for these requirements. In particular, this study analyzed the common and difference between school levels and teaching experiences. For it, we developed questionnaire and the questionnaire was anonymously answered by one-hundred-five elementary and secondary mathematics teachers. We suggested implications related to professional development programs for mathematics teachers based on common and difference between school levels and teaching experiences.

• The Mathematical Education
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• v.46 no.3
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• pp.263-272
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• 2007

Mathematics Teaching Efficacy Beliefs Inventory (MTEBI) was translated into Korean and conducted among Korean pre-service mathematics teachers. The Korean-translated MTEBI consists of two subscales with 16 items. Personal Mathematics Teaching Efficacy (PMTE) subscale has 10 items and Mathematics Teaching Outcome Expectancy (MTOE) subscale has 6 items. The purpose of this study is to investigate the internal reliability and the construct validity of the Korean-translated MTEBI. The Cronbach alpha coefficient of Korean-translated MTEBI and its two subscales are respectively .87, .83, and .74 which imply that the instrument is reliable. The construct validity was achieved by performing factor analysis. Principal component solution with varimax rotation for the Korean-translated MTEBI was used in factor analysis and thus the best fit simple structure was obtained by two factors which correspond to the self-efficacy dimension and the outcome expectancy dimension of Bandura's self-efficacy theory.

• Journal of the Korean School Mathematics Society
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• v.13 no.3
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• pp.397-413
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• 2010

On the standards or elements of teaching evaluation, the Korea Institute of Curriculum and Evaluation(KICE) has carried out the following research such as : 1) development of the standards on teaching evaluation between 2004 and 2006, and 2) investigation on the elements of Pedagogical Content Knowledge including understanding of learners 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 studies (namely, evaluation standards) focused on the knowledge of teaching contexts. For this purpose, application of instructional tools and materials, commercial manipulatives, environment of classroom including distribution and control of class group, atmosphere of classroom, management of teaching contexts including management of student were re-established based on the results of the search mentioned above. According to those evaluation domains, elements on teaching evaluation focused on the knowledge of teaching contexts were established.

• Education of Primary School Mathematics
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• v.19 no.4
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• pp.329-347
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• 2016

This paper investigated the views of effective mathematics instruction on the part of school administrators, and then compared and contrasted such views with those of elementary school teachers based on the previous study. A total of 32 school administrators participated in this study and responded to three types of the questionnaire. The results of this study showed that school administrators regarded good mathematics teaching as using concrete materials and teaching students to think. School administrators put their first priority on curriculum and content among four main domains of good mathematics teaching, and did on constructing curriculum among seven sub-domains of good mathematics teaching. They agreed that good mathematics teaching includes teaching by reconstructing the curriculum according to students' various levels and teaching to emphasize the connection among mathematical concepts. However, they thought that good mathematics teaching might not include teaching for fluent calculation or teaching in well-equipped learning environment. The results of comparison of perspectives regarding good mathematics teaching between school administrators and teachers showed remarkably similar tendency. However, a noticeable difference was that school administrators agreed more than elementary school teachers with regard to the 20 elements related to effective mathematics instruction. This paper closes with implications based on the similarities and differences regarding effective mathematics instruction perceived by school administrators and teachers.

• Research in Mathematical Education
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• v.11 no.2
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• pp.127-141
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• 2007

This paper compares and analyzes mathematics teachers' understanding of students' mathematical comprehension after experiences with the Cognitively Guided Instruction (CGI) or the Development of Mathematical Ideas (DMI) teaching strategies. This report sheds light on current issues confronted by the educational system in the context of mathematics teaching and learning. In particular, the declining rate of mathematical literacy among adolescents is discussed. Moreover, examples of CGI and DMI teaching strategies are presented to focus on the impact of these teaching styles on student-centered instruction, teachers' belief, and students' mathematical achievement, conceptual understanding and word problem solving skills. Hence, with a gradual enhancement of reformed ways of teaching mathematics in schools and the reported increase in student achievement as a result of professional development with new teaching strategies, teacher professional development programs that emphasize teachers' understanding of students' mathematical comprehension is needed rather than the currently dominant traditional pedagogy of direct instruction with a focus on teaching problem solving strategies.