Search Results - "Komatsu, Kotaro"

Fostering empirical examination after proof construction in secondary school geometry by Komatsu, Kotaro

“…In contrast to existing research that has typically addressed the process from example generation to proof construction, this study aims at enhancing empirical…”
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Generating mathematical knowledge in the classroom through proof, refutation, and abductive reasoning by Komatsu, Kotaro, Jones, Keith

“…Proving and refuting are fundamental aspects of mathematical practice that are intertwined in mathematical activity in which conjectures and proofs are often…”
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A framework for proofs and refutations in school mathematics: Increasing content by deductive guessing by Komatsu, Kotaro

“…The process of proofs and refutations described by Lakatos is essential in school mathematics to provide students with an opportunity to experience how…”
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Successful treatment of subcutaneous Purpureocillium lilacinum infection with fosravuconazole by Uehara, Haruka, Yamaguchi, Sayaka, Komatsu, Kotaro, Miyagi, Takuya, Takahashi, Kenzo

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Interplay between Paper-and-Pencil Activity and Dynamic-Geometry-Environment Use during Generalisation and Proving by Komatsu, Kotaro, Jones, Keith

“…Digital tools have a potential to change significantly the form of mathematical learning taking place in classrooms, with research pointing to various…”
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Correction to: Interplay between Paper-and-Pencil Activity and Dynamic-Geometry-Environment Use during Generalisation and Proving by Komatsu, Kotaro, Jones, Keith

“…The original version of this article unfortunately contained a mistake…”
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Introducing Students to the Role of Assumptions in Mathematical Activity by Komatsu, Kotaro, Murata, Shogo, Stylianides, Andreas J., Stylianides, Gabriel J.

“…Assumptions play a fundamental role in disciplinary mathematical practice, especially concerning the relativity of truth. However, much is still unclear about…”
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Counter-examples for refinement of conjectures and proofs in primary school mathematics by Komatsu, Kotaro

“…The purpose of this study is to explore how primary school students reexamine their conjectures and proofs when they confront counter-examples to the…”
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Proof validation and modification in secondary school geometry by Komatsu, Kotaro, Jones, Keith, Ikeda, Takehiro, Narazaki, Akito

“…•We analyze secondary school students’ attempts at proof validation and modification in geometry.•Proof validation is defined in terms of the local…”
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The Role of “Opportunity to Learn” in the Geometry Curriculum: A Multilevel Comparison of Six Countries by Bokhove, Christian, Miyazaki, Mikio, Komatsu, Kotaro, Chino, Kimiho, Leung, Allen, Mok, Ida Ah Chee

“…In international comparisons for mathematics in PISA and TIMSS, Asia outperforms England considerably at secondary level. For geometry this difference is even…”
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Cutaneous abscess due to Candida dubliniensis: A case report by Komatsu, Kotaro, Yamaguchi, Sayaka, Yasumura, Ryo, Takahashi, Kenzo

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Curriculum Development for Explorative Proving in Lower Secondary School Geometry: Focusing on the Levels of Planning and Constructing a Proof by Miyazaki, Mikio, Nagata, Junichiro, Chino, Kimiho, Sasa, Horoyuki, Fujita, Taro, Komatsu, Kotaro, Shimizu, Shizumi

“…Mathematics education continues to emphasize explorative proving, wherein proving involves producing statements, producing proofs, looking back (examining,…”
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Rethinking the discovery function of proof within the context of proofs and refutations by Komatsu, Kotaro, Tsujiyama, Yosuke, Sakamaki, Aruta

“…Proof and proving are important components of school mathematics and have multiple functions in mathematical practice. Among these functions of proof, this…”
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Task Design Principles for Heuristic Refutation in Dynamic Geometry Environments by Komatsu, Kotaro, Jones, Keith

“…Task design is increasingly recognised as crucial for enhancing student learning of mathematics. Even so, and despite the significance of mathematical activity…”
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Cutaneous abscess due to Candida dubliniensis: A case report by Komatsu, Kotaro, Yamaguchi, Sayaka, Yasumura, Ryo, Takahashi, Kenzo

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EXPLANATORY UNIFICATION BY PROOFS IN SCHOOL MATHEMATICS by KOMATSU, KOTARO, FUJITA, TARO, JONES, KEITH, SUE, NAOKI

“…Kitcher's idea of 'explanatory unification', while originally proposed in the philosophy of science, may also be relevant to mathematics education, as a way of…”
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PROOF PROBLEMS WITH DIAGRAMS: AN OPPORTUNITY FOR EXPERIENCING PROOFS AND REFUTATIONS by KOMATSU, KOTARO, TSUJIYAMA, YOSUKE, SAKAMAKI, ARUTA, KOIKE, NORIO

“…It has become gradually accepted that proof and proving are essential at all grades of mathematical learning. Among the various aspects of proof and proving,…”
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Potentials for Spatial Geometry Curriculum Development with Three-Dimensional Dynamic Geometry Software in Lower Secondary Mathematics by Miyazaki, Mikio, Kimiho, Chino, Katoh, Ryuhei, Arai, Hitoshi, Ogihara, Fumihiro, Oguchi, Yuichi, Morozumi, Tatsuo, Kon, Mayuko, Komatsu, Kotaro

“…Three-dimensional dynamic geometry software has the power to enhance students' learning of spatial geometry. The purpose of this research is to clarify what…”
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Cutaneous abscess due to Candida dubliniensis: A case report by Komatsu, Kotaro, Yamaguchi, Sayaka, Yasumura, Ryo, Takahashi, Kenzo

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