• Research in Mathematical Education
• /
• v.14 no.1
• /
• pp.67-77
• /
• 2010

Concordance of high school courses of mathematics and physics is a long-known and still-unsolved problem, at least in Russia. Lyceum "Physical-Technical High School" exists for more than 20 years and endeavors to solve this problem. During this work, Lyceum teachers worked out certain ideology of educational content as well as methods of teaching specific topics. Textbooks and workbooks have been written for the Lyceum students by the Lyceum teachers (or in collaboration with them). This article reports on the cumulate experience of the Lyceum in mathematical education of future physicists.

• Journal of Educational Research in Mathematics
• /
• v.22 no.1
• /
• pp.39-52
• /
• 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.

• Journal of the Korean School Mathematics Society
• /
• v.19 no.4
• /
• pp.459-478
• /
• 2016

With the proven benefits of and increased interest in using technology in education, the role of teachers has become more important in integrating technology into mathematics classroom. Thus, it is important to improve preservice teachers' technological, pedagogical, and content knowledge (TPACK), which are influenced by their beliefs. This study examines how preservice secondary mathematics teachers' experience and beliefs related to technology use in the mathematics classrooms impact their TPACK. The results of this study show that preservice teachers who have more experience using technology and who hold student-centered beliefs towards technology use display higher levels of technology-related knowledge than preservice teachers who have little experience and who hold teacher-centered beliefs. Understanding the relationships between preservice teachers' TPACK and beliefs provides insights into how teacher education programs can support preservice teachers to develop TPACK and integrate technology into their future mathematics instruction.

• Education of Primary School Mathematics
• /
• v.22 no.1
• /
• pp.49-64
• /
• 2019

The purpose of the study was to examine the current status of prospective elementary school teachers' mathematical beliefs. 339 future elementary school teachers majoring in mathematics education from 4 universities participated in the study. The questionnaire used in the TEDS-M(Tatto et al., 2008) was translated into Korean for the purpose of the study. The researchers analyzed the pre-service elementary teachers' beliefs about the nature of mathematics and about mathematics learning. Also, the results of the survey was analyzed by various aspects. To determine differences between the groups, one-way analysis of variance was used. To check the relationship between beliefs about the nature of mathematics and about the mathematics learning, correlation analysis was used. The results of the study revealed that the pre-service elementary teachers tends to believe that the nature of mathematics as 'process of inquiry' rather than 'rules and procedures' which is a view that mathematics as ready-made knowledge. In addition, the pre-service elementary teachers tend to consider 'active learning' as desirable aspects in mathematics teaching-learning practice, while 'teacher's direction' was not. We found that there were statistically significant correlation between 'process of inquiry' and 'active learning' and between 'rules and procedures' and 'teacher direction'. On the basis of these results, more extensive and multifaced research on mathematical beliefs should be needed to design curriculum and plan lessons for future teachers.

• Journal of Fisheries and Marine Sciences Education
• /
• v.25 no.2
• /
• pp.321-340
• /
• 2013

The purpose of this study was to investigate elementary school teachers'concern and implementation of differentiated instruction of mathematics. To achieve the purpose, this study applied measurements of CBAM, including Stages of Concern Questionnaire and Innovation Configurations Checklist, to 133 elementary school teachers. The results indicated that most teachers were in awareness stage, which meant they had little concern on differentiated mathematics instruction. As well as, analysis on innovation configurations revealed that b and c variation, each referred to fidelity to and deviance from national curriculum standard relatively, were dominant in their instruction. Based on the results, the study suggested implications on future policies and teacher training for differentiated mathematics instruction.

• Research in Mathematical Education
• /
• v.12 no.3
• /
• pp.215-233
• /
• 2008

Deep comprehension of basic mathematical notions and concepts is a basic condition of a successful teaching. Some elements of algebraic thinking belong to the elementary school mathematics. The question "What stays the same and what changes?" link arithmetic problems with algebraic conception of variable. We have studied beliefs and comprehensions of future elementary school mathematics teachers on early algebra. Pre-service teachers from three academic pedagogical colleges deal with mathematical problems from the pre-algebra point of view, with the emphasis on changes and invariants. The idea is that the intensive use of non-formal algebra may help learners to construct a better understanding of fundamental ideas of arithmetic on the strong basis of algebraic thinking. In this article the study concerning arithmetic series is described. Considerable number of pre-service teachers moved from formulas to deep comprehension of the subject. Additionally, there are indications of ability to apply the conception of change and invariance in other mathematical and didactical contexts.

• Journal of the Korean School Mathematics Society
• /
• v.15 no.4
• /
• pp.673-698
• /
• 2012

In this study, we suggest the standards for future mathematics classroom from environment, teachers, and students aspects. Future mathematics classroom should have the three environmental standards that perform responsible roles and appropriate functions of physical resources and classroom space. In the teacher standards' domain, we presented as a total of eight kinds. Concretely, we proposed the four standards for improvement of mathematical teacher's instructional expertise and the four standards for improvement of abilities of learners. The students standards consist of 4 domain a such as 3 standards of mathematical investigation and problem solving, 3 standards of cooperation and communication, 1 standard of utilization and operation of mathematical technologies and learning support systems, 2 standard of digital ethics and citizenship. Also, we developed the mathematical convergence instruction model and reported the results of its application after the lessons conducted in the classroom equipped with advanced environmental and technologies. We presented the convergence instruction model and scenarios focused on thoughts and actions of teachers and students in the future mathematics classroom.

• The Mathematical Education
• /
• v.58 no.1
• /
• pp.121-138
• /
• 2019

The purpose of this study was to analyze the trends of domestic research on mathematics teacher education in terms of the period, topics, methods, subjects, and mathematics content strands. For this purpose, a total of 220 research articles dealing with mathematics teacher education were analyzed, which have been published since 2000 by the Korean Society of Mathematics Education in the three journals: (a) The Mathematical Education; (b) Education of Primary School Mathematics; and (c) Communications of Mathematical Education. Regarding the period when the research was conducted, the number of articles on mathematics teacher education has been rapidly increased since the late 2000s. Regarding the topics, research on teacher orientation has been the most frequent topic and the studies dealing with professional development for teachers, teaching practices, or teacher knowledge tend to be popular. Regarding methods, survey and case study have been most frequently employed in studying mathematics teacher education. Regarding subjects, the main participants were in-service teachers, pre-service teachers, elementary school teachers, and secondary school teachers, respectively, who were in charge of a regular class. Finally, regarding mathematics content strands, previous studies on mathematics teacher education were not specific to mathematics content strands. Given these results, this paper closes with important implications for future research directions on mathematics teacher education in Korea.

• Research in Mathematical Education
• /
• v.7 no.3
• /
• pp.125-137
• /
• 2003

At a time when mathematics is becoming more important in our everyday lives and more relevant in applications in industry and the emerging technologies, there are signs of a decrease in numbers of students and their interest in the subject. Teachers must be encouraged to take a new approach to generating enthusiasm amongst students by showing them that mathematics is an integral part of the future. To achieve this, opportunities for renewal of teachers' knowledge and updating of skills should be made available. In this paper, emphasis is placed on mathematics in the real world and how it can be used to develop the more general skills such as self-teaching and communication which are an essential part of preparation for entry into higher education or the workplace.

• The Mathematical Education
• /
• v.41 no.2
• /
• pp.173-187
• /
• 2002

The purpose of this study through ethnographic inquiry is to describe how an elementary teacher teaches mathematics with understanding. The ways that teachers'beliefs affect instructional activities, what means understanding from the view of cognitive psychology, and ethnographic research tradition were reviewed to anchor theoretical background of this study. A third-grade teacher and his 45 students were selected in order to capture vivid and thick descriptions of the teaching and learning activities of mathematics. Three major sources of data, that is, participant-observation with video taping, formal and informal interviews with the teacher and his students, and a variety of official documents were collected. These data were analyzed through two phases: data analysis in the field and after the fieldwork. According to data analysis, ‘teaching mathematics with understanding’ was identified as the teachers central belief of teaching mathematics. In order to implement his belief in teaching practices, the teacher made use of three strategies: ⑴ valuing individual student's own way of understanding, ⑵ bring students' everyday experiences into mathematics classroom, and ⑶ lesson objectivies stated by students. It is suggested for future research that concrete and specific norms of mathematics classroom for the improvement of mathematics understanding are needed to be identified and that experienced and skillful teachers' practical knowledge should be incorporated with theories of teaching mathematics and necessarily paid more attention by mathematics educators.