• Education of Primary School Mathematics
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• v.21 no.3
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• pp.289-307
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• 2018

Although mixed calculation of natural numbers is important in that it completes arithmetic calculation of natural numbers in elementary school, few studies have been conducted regarding its instruction methods. Given this, this study analyzed Korean mathematics textbooks (from the fifth textbooks to the 2009 revised textbooks) along with Japanese and Singaporean textbooks in terms of the parentheses and the order of operations regarding mixed calculation of natural numbers. The results of this study showed that there were differences in introducing the parentheses and representing them in an explicit way per textbooks. In the Korean textbooks, the order of operations was presented mostly with the real-life contexts but it was not always in a diagrammatic representation. In contrast, in the Singaporean textbooks, the order of operations was presented without the real-life contexts and the use of calculators was emphasized. In the Japanese textbooks, the order of operations was presented with the real-life contexts and a hierarchy of operations was emphasized. Based on these results, this study suggested several implications of textbook development and instructional methods regarding mixed calculations of natural numbers.

• Journal of the Korean School Mathematics Society
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• v.16 no.2
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• pp.337-362
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• 2013

The purposes of the study were to develop STEM instructional materials for teaching and learning mathematics and to investigate how the STEM based approach affects on students' learning of mathematics in cognitive and affective domain and career choice. STEM instructional materials were designed for learning of mathematical concepts in the contexts of science, technology, and engineering as well as real world. According to the results of the study, STEM instructional materials for teaching and learning mathematics were effective for improving students' problem solving ability and affective achievement such as self-regulation, self-efficacy, and value of mathematics. In addition, STEM program played a positive role in tempting students' career choice into science and engineering fields including mathematics.

• Education of Primary School Mathematics
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• v.15 no.2
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• pp.77-89
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• 2012

Considerable efforts have been attempted to identify what makes high-quality mathematics instruction, including diversity and variability across different educational systems and cultural contexts. As the instructional elements related to effective mathematics teaching can be commonly applied to different content domains, they may be efficient in selecting such teaching. However, such elements may not reflect on the specific but essential features of each domain. This paper compared and contrasted two sets of measurement teaching practices, which were recognized as good instruction, in terms of how the key elements of measurement domain were implemented. As such this paper is expected to accumulate significant knowledge about elements of effective mathematics instruction that are specialized in a particular content domain of measurement. This paper suggests that domain-specific approach be considered in studying good mathematics teaching.

• Journal of Educational Research in Mathematics
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• v.24 no.2
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• pp.165-180
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• 2014

This study analyzed in what ways the instructional materials have been dealing with the fraction as quotient, since the seventh national mathematics curriculum. An analysis of this study urged us to re-consider the content related to the fraction as quotient. First, the fraction as quotient has weakened in the current mathematics textbooks and workbooks in comparison to those developed under the previous curriculum. Second, the contexts of whole number division taught in grades 3 and 4 were not naturally connected to those of the fraction as quotient taught in grade 5. Third, the types of word problems, visual models, and partitioning strategies in the textbooks and the workbooks were partial, and the process of formalization was limited. Building on these results, this study is expected to suggest specific implications which may be taken into account in developing new instructional materials in process.

• Journal of Engineering Education Research
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• v.21 no.1
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• pp.14-26
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• 2018

The goal of this study was to explore topic defining patterns of students in interdisciplinary Capstone Design Class. Thematic analysis methodology was used to examine 85 Korean college students' lived experience of project topic generation which is for interdisciplinary capstone design class and Individual open-ended survey for constituted the data sources. Findings show four contexts of student's topic defining patterns using thematic analysis including (a) one leader's directed problem representation, (b) team common decision making after brainstorming, (c) empathy with professor proposed issue, (d) problems offered to students by corporate or research competitions. Based on research result, I could suggest instructional strategies of Capstone Design Class of teacher for helping their students' topic defining. It was necessary to minimize the opinions of the instructors at the beginning of class and minimize the number of team members. And also it provided a lot of opportunities to collaborate with companies in the topic selection process, it will help to develop the students' ability to determine the valuable topic in project.

• Journal of Fisheries and Marine Sciences Education
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• v.6 no.2
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• pp.198-216
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• 1994

The problem of promoting instructional effect using reorganizing the content of textbook is one of the major concerns of many education theorists and teachers. The results of many researches about above problem reveal that reorganizing the content of textbook promotes the ability of recall and problem solving of learners. The content structure of current navigation textbook revealed a categorical structure as its basic framework, though it seems to be a poor one. A categorical structure is known as providing an inferior information processing mechanism for learners than a learning hierarchy content structure is. Furthermore current content structure hasn't given any considerations to navigation in practice, spatial contexts and sequential events of ships from a harbor to another harbor. The learning hierarchy content structure has an advantage of giving learners more systematic and stronger knowledge networks than a categorical structure.

• Research in Mathematical Education
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• v.10 no.2 s.26
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• pp.115-124
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• 2006

In order to optimize a learning effect in mathematics, the results of the educational assessment must be effectively used by both teachers and students. The teacher using technology to provide students with performance feedback is becoming more prevalent in educational contexts worldwide but concern arises over the form of that feedback and the effects it has upon students' achievements. Also, feedback takes considerable time for teachers but their instructional time is limited. For these reasons, it is a significant matter how to select items effectively in order to give feedback to students after an assessment. In this study, we introduce the systematic selection method of feedback items using the regression analysis in order to provide effective feedback to students by teachers.

• Research in Mathematical Education
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• v.26 no.1
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• pp.31-38
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• 2023

Mathematics educators have emphasized the importance of language use in mathematics education. However, previous studies have predominantly focused on the spoken language used in mathematics classrooms, which provides limited information on the written language used by mathematics teachers. The written language reflects the characteristics of the teacher community and social, cultural, and political contexts. Moreover, the written language affects teachers' instructional practices and their students' mathematics learning experiences. Therefore, this study aims to review a study conducted by Lee and Kim (2022) investigating changes in mathematics teachers' pedagogical lexicons.

• Educational Technology International
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• v.24 no.2
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• pp.295-329
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• 2023

The recent development of metaverse-related technology has led to efforts to overcome the limitations of time and space in education by creating a virtual educational environment. To make use of this platform efficiently, applying learning analytics has been proposed as an optimal instructional and learning decision support approach to address these issues by identifying specific rules and patterns generated from learning data, and providing a systematic framework as a guideline to instructors. To achieve this, we employed an inductive, bottom-up approach for framework modeling. During the modeling process, based on the activity system model, we specifically derived the fundamental components of the learning analytics framework centered on learning activities and their contexts. We developed a prototype of the framework through deduplication, categorization, and proceduralization from the components, and refined the learning analytics framework into a 7-stage framework suitable for application in the metaverse through 3 steps of Delphi surveys. Lastly, through a framework model evaluation consisting of seven items, we validated the metaverse learning analytics framework, ensuring its validity.

• 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.