• Title/Summary/Keyword: Mathematics Teaching

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The Nature of a Method Course for Prospective Secondary Mathematics Teachers

  • Kim, Seong-A;Lee, Sun Hee
    • Research in Mathematical Education
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    • v.23 no.4
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    • pp.235-254
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    • 2020
  • Through this study, we aimed to capture the nature of a mathematics method course, called "the Curriculum Development and Teaching Methods in Mathematics Education" which is a pedagogy course for teaching for secondary school mathematics taught at a university located in a south eastern part of South Korea. The research participants include three junior students who took the methods course and a local high school math teacher with two professors. The research has three parts. First, we designed a method course to prepare the junior or senior students for a teaching practicum. The individual students gave a mini lecture about a secondary mathematical topic as a course requirement. Second, the three students watched a classroom video-clip of the high school teacher and analyzed his instruction before the actual classroom visits. Furthermore, by "Let's Learn" program for students, the course was associated with a local community through the students and so that they could visit the teacher's classroom three times to observe his math classroom teaching. The students discussed the difference between their own mini lectures and the actual math classroom teaching to develop an understanding of what it entails to teach an actual math class. Third, the first author supervised the students' activities in the program including their report for it to bring out their findings to the class of the method course. We found out this method course provided the students with the experience of various aspects of actual math lesson as well as learning theories about the pedagogy for teaching for secondary school mathematics. We conclude that this course gives a model for the method course in mathematics education for secondary school mathematics.

Effects of the individual teaching strategies on mathematics attitude and mathematics achievement of low achievement students in cultural mathematics (개별지도가 대학수학 기초학력 부진 학생들의 수학 학업성취도와 수학 태도에 미치는 영향)

  • Seo, Jong Jin;Jo, Seung Hee
    • Journal of the Korean School Mathematics Society
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    • v.21 no.3
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    • pp.287-301
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    • 2018
  • The purpose of this study was to investigate the effect of individual teaching strategies on mathematics achievement and mathematics attitude of students with low achievement in mathematics. As a result, individual instruction group showed higher mathematics achievement and attitude toward mathematics than comparative group. In the experimental group, there was a correlation between pre-mathematics achievement and post-mathematics achievement. Also, there was a correlation between post-mathematics attitude and post-mathematics achievement. Within the comparison group, there was a correlation between pre-mathematics attitude and post-mathematics attitude. Also, there was a correlation between post-mathematics attitude and post-mathematics achievement.

The Relationship between Mathematics Teachers' Noticing and Responsive Teaching:In the Context of Teaching for All Students' Mathematical Thinking (수학 교사의 주목하기와 반응적 교수의 관계:모든 학생의 수학적 사고 계발을 지향하는 수업 상황에서)

  • Kim, Hee-jeong;Han, Chaereen;Bae, Mi Seon;Kwon, Oh Nam
    • The Mathematical Education
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    • v.56 no.3
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    • pp.341-363
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    • 2017
  • This case study contributes to the efforts on identifying the essential features of responsive teaching practice where students' mathematical thinking is central in instructional interactions. We firstly conceptualize responsive teaching as a type of teachers' instructional decisions based on noticing literature, and agree on the claim which teachers' responsive decisions should be accounted in classroom interactional contexts where teacher, students and content are actively interacting with each other. Building on this responsive teaching model, we analyze classroom observation data of a 7th grade teacher who implemented a lesson package specifically designed to respond to students' mathematical thinking, called Formative Assessment Lessons. Our findings suggest the characteristics of responsive teaching practice and identify the relationship between noticing and responsive teaching as: (a) noticing on students' current status of mathematical thinking by eliciting and anticipating, (b) noticing on students' potential conceptual development with follow-up questions, and (c) noticing for all students' conceptual development by orchestrating productive discussions. This study sheds light on the actual teachable moments in the practice of mathematics teachers and explains what, when and how to support teachers to improve their classroom practice focusing on supporting all students' mathematical conceptual development.

An Analysis of a Teacher's Transformation Knowledge in Elementary Mathematics Teaching (초등 수학 수업에서 발현되는 교사의 변환 지식 분석)

  • Jung, YooKyung;Pang, JeongSuk
    • Journal of the Korean School Mathematics Society
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    • v.16 no.4
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    • pp.695-717
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    • 2013
  • Teacher knowledge needed for teaching is bound to be revealed in teaching the subject matter in relation to the given instructional context. Given this, recent studies on mathematics teacher knowledge tend to analyze actual Mathematical Knowledge in Teaching [MKiT]. This study focused on the dimension of transformation and its related codes in Knowledge Quartet, which has been recognized as a MKiT framework, and analyzed a Korean teacher's transformation knowledge revealed in her elementary mathematics teaching. The analysis showed that the codes related to the dimension of transformation were useful in analyzing teacher knowledge in the Korean context. However, a few codes need to be revised or added for more suitability. On the basis of these results, this paper closes with implications for analyzing teacher knowledge in mathematics teaching.

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A Psychometric Analysis and Revision of the Mathematics Teaching Efficacy Beliefs Instrument Using the Rasch Model: Focusing on Personal Teaching Efficacy (Rasch 모형을 활용한 수학 교수 효능감 측정 도구의 심리측정적 특성 분석 및 수정: 개인 효능감 요인을 중심으로)

  • Hwang, Sunghwan
    • Journal of the Korean School Mathematics Society
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    • v.24 no.1
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    • pp.1-18
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    • 2021
  • The purpose of the study was to examine the psychometric properties of the personal teaching efficacy of the Mathematics Teaching Efficacy Beliefs Instrument and revise the scale for the use of Korean elementary school teachers. Data were collected from 299 elementary teachers. A Rasch analysis was used to evaluate unidimensionality and appropriateness of category use and item difficulty levels. Moreover, person separation and reliability as well as item separation and reliability were examined using the revised scale. Results suggested that the original personal teaching efficacy scale (13 items with five categories) had several problems in its psychometric properties. Thus, we revised the scale into eight items with four categories. The follow-up analysis results showed the revised scale provided sufficient psychometric properties for measuring Korean elementary school teachers' self-efficacy beliefs for teaching mathematics. Limitations and implications of the study were also discussed.

A Study on Teaching Measurement in Grade 4 (측정영역의 지도에 관한 소고 - 4학년을 중심으로 -)

  • 이경화
    • Education of Primary School Mathematics
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    • v.3 no.1
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    • pp.55-62
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    • 1999
  • Through our elementary school mathematics, measurement is a critical topic since measurement helps connect ideas within areas of mathematics and between mathematics and other disciplines. In grade 4, students should understand angle, time, perimeter and area of figures by active involving. The paper gives ten ideas about teaching these concepts.

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Effective Use of Teaching Aids According to Achievement Level of Mathematics in Elementary School (초등학교 수학과 성취기준에 따른 수업용 교구의 효과적인 활용 방안)

  • Ahn, Byoung Gon
    • Education of Primary School Mathematics
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    • v.21 no.1
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    • pp.39-53
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    • 2018
  • Most of the studies of mathematics so far have found positive changes in the effectiveness of the academic achievements of academic achievement, as well as positive changes in the effectiveness of academic achievement or attitudes or attitudes towards mathematics. The purpose of this study was to investigate the achievement criteria for the use of the teaching aids and to present the teaching aids and the methods for teaching the learning contents appropriate to the achievement standards. Specifically, it finds the achievement standard suitable for the learning contents instruction course of the textbooks of the elementary school 1st and 2nd graders, finds the available diocese in the standard diocese for the math class, and investigates the diocese in use in the present textbook.

Review on Relation between Knowledge for Teaching Mathematics and Student Learning (교수를 위한 수학적 지식과 학생의 성취도에 관한 문헌 연구)

  • Park, Jung-Eun
    • Journal of Educational Research in Mathematics
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    • v.22 no.1
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    • pp.39-52
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    • 2012
  • Research in teachers' knowledge for teaching mathematics (KTM) has been gradually growing for the past several years. With various conceptualizations about what teachers need to teach mathematics, there have been studies to find out the relationship between teachers' KTM and their students' achievement. In this paper, I reviewed various conceptualizations of teacher's mathematical knowledge for teaching, and existing qualitative and quantitative studies about this relationship. Based on the review, I identified the challenges to studying this relationship mainly focusing on the existence of a phase-teaching practice-between teachers' KTM and students' learning. Considering the challenges that have been identified in the literature review, I proposed topics for future studies that would contribute to our understanding how the teachers' KTMare related to their students' achievement, and investigate further about whether and how teacher-student interaction in classroom is related to changes in teachers' KTM.

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A Study on Analyzing the Difference Factors Occurred in the Secondary School Mathematics Teachers on the Mathematical Knowledge of Teaching and on Exploring the Enhancement on the Statistical Literacy (수학 중등 교사들 간의 수학교수지식(MKT) 차이 발생 요인 분석 및 이를 통한 통계적 소양 신장 방안)

  • Kim, Seul Bi;Hwang, Hye Jeang
    • East Asian mathematical journal
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    • v.39 no.2
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    • pp.141-166
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    • 2023
  • The purpose of this study is to confirm the MKT(Mathematical Knowledge for Teaching) of the in-service mathematics teachers on the statistics(Representative value, Degree of scattering) through the comparative analysis between the sub-elements of the MKT. In addition, it is to examine the factors that cause the difference of the subjects' MKT. To accomplish this, by the subject of 12 secondary in-service mathematics teachers, in this study the test items of the MKT on the statistics were developed and data were collected and analyzed. As a result of the analysis of the MKT test sheet, the CCK(Common Content Knowledge) and SCK(Specialized Content Knowledge) of the mathematics teacher was confirmed as a high score, whereas the and KCS(Knowledge of Content and Students) and KCT(Knowldge of Curriculum and teaching) were confirmed as low scores. In addition, through these results, it was shown that the difference in MKT's elements the middle school and high school teachers obtain occurred slightly.