• The Mathematical Education
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• v.61 no.4
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• pp.559-579
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• 2022

Research on lexicon and language provides insights into the interests, values and practices of a community where individuals use the language. The International Classroom Lexicon Project, in which ten countries participated, identified own country's mathematics teaching and learning lexicons by investigating mathematics classroom instruction from teachers' perspectives in a speaking-oriented community. This study, as an extension of the International Classroom Lexicon Project research, investigated pedagogical lexicons used in 「Mathematics and Education」 journals specialized for Korean professional mathematics teachers published by the Korean Society of Teachers of Mathematics. Using the text mining approach, we also traced how these pedegogical lexicons have changed quantitatively over the past 10 years with a diachronic perspective. As a results, several novel terms were found in the writing-oriented community, which were not identified in the speaking-oriented community. In addition, we could discover some pedagogical lexicons have increased statistically significantly and some lexicons appeared(increased) rapidly across years. This implies the teacher community's values and zeitgeist by reflecting these changes in the sociocultural, incidental and social changing (i.e., periodical change) contexts. This study has value as a first step in understanding zeitgeist for mathematics education in Korean mathematics teacher community according to changes of times over the past 10 years. Also, this study contributes to the methodological insights: the text mining technique provides a methodological contribution to researching changes in interests, values and zeitgeist according to these changes in the times.

• The Mathematical Education
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• v.55 no.3
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• pp.299-316
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• 2016

The abilities for 21st learners have recently changed and learners' engagement is emphasized. In flipped classroom, students learn the prerequisite concepts of the lecture online in advance and perform various types of activities based on interaction and engagement. As students in flipped classroom construct knowledge actively, students' engagement is very important. Therefore, I conducted a research of flipped mathematics class to help teachers to better understand students' engagement in flipped mathematics class. The flipped mathematics class was conducted for about 3 weeks with 29 middle school students and one teacher. Video and audio recordings, completed student worksheets and interview data were collected and analyzed using the qualitative method. The results of this study showed that students' engagement is influenced by diverse factors. Engagement factors were categorized by teacher factors, community factors, material factors, tasks and strategy factors, classroom culture factors. Each factor facilitates or suppresses behavioral, emotional, cognitive, agentic engagements, and sometimes several factors are related. The results of this study increase understanding of engagement through the example of a case study on flipped mathematics class.

• Education of Primary School Mathematics
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• v.15 no.1
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• pp.1-11
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• 2012

Unlike traditional cognitive theory, situated cognition theory has been understood as a pedagogical theory that highly reflects the constructivist nature of learning. In order to practice situated learning in school, situations in the classroom are very important in which real teaching and learning occurs. Due to the fact that learning is the process of mental activities which is considerably dependent on conditions and context, it focuses more on the learning process and real-situation experiences rather than the result itself. In mathematics education, teaching students the ability to solve given problems in a conventional way is not enough anymore. The purpose of this research is to suggest the direction of mathematical education in the classroom by analyzing the implications of situated cognition theory and situated learning for 'doing mathematics' in classroom teaching. In this research, we introduce briefly about situated cognition theory and situated learning, compare the phenomenon of mathematics in the classroom to that in the mathematician's mind, and finally propose the applications of situated cognition theory in the mathematics education based on three perspectives of situated cognition theory the embodiment thesis, the embedding thesis, and the extension thesis.

• School Mathematics
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• v.7 no.4
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• pp.337-352
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• 2005

In this study, we carried out a case study with 38 pre-service mathematics teachers. A theoretical basis of this study is the 'technology principle' by NCTM(2000) and teaching-learning methods by the 7th curriculum. Using mathematics program(Grafeq.), we executed classroom activities for developing materials assisting teaching-teaming for 7th-9th grade mathematics. Pre-service mathematics teachers constructed mathematical designs for each grade by Grafeq. program. We tried to find the results for three research problems. On the basis of observation data, interview data and document materials, we analysed our results as follows. First, our activities help Pre-service mathematics teachers to examine and understand each grade mathematics. Second, we can developamathematicaldesignineachgrade mathematics. Therefore mathematical designs developed in this study can be used middle school mathematics classroom. Third, pre-service mathematics teachers gained the belief that the activities using mathematical in this study can be applied program. effectively to teaching and loaming school mathematics.

• Journal for History of Mathematics
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• v.14 no.1
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• pp.61-72
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• 2001

In this paper we collect applications of secondary school mathematics which can be used in classroom instruction. With these applications we can also show the utility of mathematics.

• Communications of Mathematical Education
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• v.15
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• pp.281-286
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• 2003

The primary purpose of this study was to investigate how and to what extent 'representations' affect the students' understanding and the growth of understanding in a technology [GSP]-based collegiate mathematics classroom. There are three themes related as frames of the study along with this purpose, which are mentioned in the first chapter and extended in the second chapter: technology in mathematics education; images on computer screen - visualization and representation; understanding and growth of understanding. Three research questions guided this study: 1) How do students present each component of representations when they study 'transformations' in a technology [GSP]-based classroom? If there is any difference between the first and second presentation for each component, how are they different?; 2) How and to what extent do representations affect the students' understanding and the growth of understanding in a technology [GSP]-based classroom?; What types of benefits and obstacles are there when students study 'transformations' in a technology [GSP]-based classroom?

• Research in Mathematical Education
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• v.14 no.4
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• pp.333-345
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• 2010

This study focuses on student engagement in Chinese middle school mathematics classrooms. By the recording and quantitative analysis on video case, this study explored the main acts and time of student engagement. The data showed that among the student engagements: (1) Students' responses to teacher's question occurred most frequently; (2) Collective responses were much more than the individual responses; (3) Students' responses and classroom practice spent the longest time; (4) The most frequent student engagements occurred in the aspects of classroom practice; and (5) Students rarely asked a question to teachers. The study also suggested that teacher's effective guidance could improve the level of student engagement and the content of classroom practice is very important to the quality of student engagement.

• School Mathematics
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• v.9 no.2
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• pp.181-196
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• 2007

It would have a trouble to communicate mathematically without an appropriate use of mathematical language. Therefore it is necessary to form mathematics classroom culture to encourage students to use mathematical language precisely. A four-month teaching experiment in a 4th grade mathematics class was conducted focused the accurate use of mathematical language. In the course of the teaching experiment, children became more careful to use their language precisely. The use of demonstrative pronouns such as this or that as well as the use of inaccurate or wrong expressions was diminished. Children became to use much more mathematical symbols and terms instead of their imprecise expressions. The result of the experiment suggests that the culture that encourage students to use mathematical language precisely can be formed in elementary mathematics classroom.

• The Mathematical Education
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• v.48 no.4
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• pp.419-442
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• 2009

This study was to find the difficulties students faced in their mathematical learning and to identify the instructional dimensions a teacher provided for the students from multi-cultural background. Since the study was focused on the process of students' learning, the qualitative method was chosen through clinical interviews with 2 students in a total of 11 units which played a role of compensating their learning of mathematics as an extra curriculum. The students solved the computational problems relying on formal procedure without understanding of concepts and principles and solved the word problems based on own interpretation of certain words without semantic comprehension out of math sentences. As the instructional dimensions of teaching mathematics, tasks, a tool and classroom norm were found in the activities they performed. For the tasks, situated tasks, challenging tasks, tasks with lack of conditions, and open-ended exploratory tasks were used. As the tool, pictorial representations were very useful to describe their ideas. Finally, as the classroom norm, consider equity for everyone, and cooperate and encourage each other were found.

• School Mathematics
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• v.3 no.2
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• pp.447-473
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• 2001

Since the greater part of mathematical concepts have been developed in the direction of “from the concrete and realistic aspects to the abstract level”, children should be secured to learn mathematics genetically with various manipulative materials. The aim of this study is to instigate the active use of geoboards in mathematics classroom. To achieve this arm, we first embodied the several significances on the use of geoboards in mathematics instruction. And we then performed an instruction that children discover and justify the formula related to the area of trapezoid by exploring with geoboards, and analyzed the instructional episode to support our assertion about some secure merit accompanied by using geoboards. From this study, we obtained the conclusion that geoboard activity contains many significances such as children can explore congruence, symmetry, similarity, fundamental properties of figures, and pattern. Futhermore, geoboard activity enable children to transform a figure into other equivalently, develop spatial sense, have basic experiences for coordinate geometry, build a concrete model to explain abstract ideas, and foster the ability of problem solving and mathematical thinking.