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MATSUZAKI Akio
| Natural science course | Associate Professor |
| Graduate School of Education |
Researcher information
■ Degree- Master (Education), University of Tsukuba
Mar. 1999 - Doctor of Philosophy, Tokyo University of Science
Sep. 2015
- Intenational Education Cooperation
- Integrated Learning
- ICT Education
- Mathematical Modelling
- Mathematics Education
■ Educational Background
- Apr. 2013 - Sep. 2015, Tokyo University of Science, Graduate School of Mathematics and Science Education, Department of Mathematics and Science Education, Japan
- Apr. 1999 - Mar. 2005, University of Tsukuba, Doctor's Program in Education, Japan
- Apr. 1997 - Mar. 1999, University of Tsukuba, Master's Program in Education, Japan
- Apr. 1993 - Mar. 1997, Tokyo University of Science, Faculty of Science, Division 1, Mathematics
Performance information
■ Paper- Curriculum Models of Mathematical Science Education in School Education : Referring Disciplinary Models of Approach for STEM Education & Discipline Concepts by Schwab, J
Matsuzaki Akio; Matsushima Mitsuru; Nishimura Keiichi; Yamaguchi Takeshi; Shimada Isao
Bulletin for mathematics education study, Volume：62, Number：3・4, First page：15, Last page：28, Feb. 2022, [Reviewed], [Lead, Corresponding], ［Domestic magazine］
Mathematics Education Society of Japan, Japanese, Scientific journal
ISSN：1349-7332, CiNii Books ID：AA11830945 - Identifying the logosblock that composes para-didactic praxeology in mathematics lesson design: Case studies from pre-service teachers in Japan
早田 透; 真野 祐輔; 松嵜 昭雄
Volume：-, First page：405, Last page：420, 2022, [Reviewed]
Scientific journal - How do lower secondary school students sharing the models tackle in collaborative modelling using ICT? Focusing on a modelling lesson with digital textbook and GeoGebla
Imai, K; Matsuzaki, A
International Journal of Research on Mathematics and Science Education, Volume：7, First page：11, Last page：20, 2020, [Reviewed], [Last], ［International magazine］
International Society for Mathematics and Science Education, English, Scientific journal - Development of Mathematical Sciences Education in School Education: A Foundational Framework for Curriculum Design in Mathematical Sciences Education
YAMAGUCHI Takeshi; NISHIMURA Keiichi; SHIMADA Isao; MATSUSHIMA Mitsuru; MATSUZAKI Akio
Journal of Science Education in Japan, Volume：44, Number：2, First page：104, Last page：122, 2020, [Reviewed]
This article proposes a foundational framework for the curriculum design of mathematical sciences education, based on the two paradigms of “Science for Society” and “Science for Science” articulated by the Science Council of Japan, in order to develop students’ decision-making abilities in mathematical sciences.
For this purpose, the paper proceeds as follows. First, it considers the philosophical aspects of the “Science for Society” and “Science for Science” paradigms, and maps current issues in mathematics education. Second, it attempts a description of the process of mathematical-scientific decision-making. Third, it lays out a foundational framework for curriculum design in mathematical sciences education, structured around four pillars: objectives, methods, contents, and evaluations/assessment. In discussing the main features of these four pillars, the paper focused specifically on the following: 1) six process abilities, 2) the ability of realizing mathematical-scientific and social values, 3) the framework of mathematical-scientific decision-making, and 4) the basic structure of lessons in mathematical sciences education. In conclusion, the paper proposes an overall structure for mathematical sciences education, and identifies three types of lessons for developing mathematical-scientific decision-making abilities.
Japan Society for Science Education, Japanese
DOI：https://doi.org/10.14935/jssej.44.104
DOI ID：10.14935/jssej.44.104, ISSN：0386-4553, eISSN：2188-5338, CiNii Articles ID：130007871627, CiNii Books ID：AN00036978 - Characteristics of mathematical reasoning ability in arithmetic and mathematics education: Targeting elementary school students, junior high school students, high school students, university students of the education department, and elementary school teachers
廣瀨 隆司; 長谷川 勝久; 松嵜 昭雄; 齋藤 昇
Bulletin for mathematics education study, Volume：61, Number：3・4, First page：11, Last page：26, 2020, [Reviewed], ［Domestic magazine］
Japan Society of Mathematical Education, Japanese, Scientific journal
DOI：https://doi.org/10.34323/mesj.61.3-4_11
DOI ID：10.34323/mesj.61.3-4_11, ISSN：1349-7332, CiNii Articles ID：40022630513, CiNii Books ID：AA11830945 - A study of evaluation for modelling on the premise of using ICTs: Focus on functions of LEGO®MINDSTORMS®EV3 and graphing calculator
Tsukahara, K; Matsuzaki, A
International Journal of Research on Mathematics and Science Education, Volume：5, First page：11, Last page：18, Dec. 2017, [Reviewed], [Last]
International Society for Mathematics and Science Education, English, Scientific journal - A mathematics teaching material focused on construction methods of 'Anamorphic Advertisement': An example of 'project-based learning' at the secondary level
Mishima Naoto; Matsuzaki Akio
Volume：97, Number：9, First page：13, Last page：21, Sep. 2015, [Reviewed], [Last], ［Domestic magazine］
Japan Society of Mathematical Education, Japanese, Scientific journal
DOI：https://doi.org/10.32296/jjsme.97.9_13
DOI ID：10.32296/jjsme.97.9_13 - A study of mathematical modelling competencies focused on Gen-Bamen: Using the method of ‘Phnömenologie’ by Husserl,E. in the middle latter period and applied response analysis mapping
Matsuzaki Akio
Sep. 2015, [Reviewed], [Lead, Corresponding]
Japanese, Doctoral thesis - Functions of Gen-Bamen in applied response analysis mapping: Using the method of 'Phnömenologie' by Husserl, E. in the middle latter period
Matsuzaki Akio
Volume：97, Number：3, First page：14, Last page：23, Mar. 2015, [Reviewed], [Lead, Corresponding], ［Domestic magazine］
Japan Society of Mathematical Education, Japanese, Scientific journal
DOI：https://doi.org/10.32296/jjsme.97.3_14
DOI ID：10.32296/jjsme.97.3_14 - The Development of Students' Strategies about "The Decimal Multiplied by The Decimal, The Decimal Divided by The Decimal"
HIROSE Takashi; SAKAI Takeshi; ISHIUCHI Hisatsugu; HASEGAWA Katsuhisa; MATSUZAKI Akio; SAITO Noboru; SIMIZU Shota
Japan Journal of Mathematics Education and Related Fields, Volume：56, Number：3, First page：147, Last page：159, 2015
The purpose of our research is to clarify what type of strategies students of each level or each stage use and how respective strategies develop in relation to the scales for assessing the degrees of students' understanding about " The Decimal Multiplied by The Decimal, The Decimal Divided by The Decimal ". 177 students on X defined as a set of 12 multiplicative questions, 185 students on Y defined as a set of 11 divisional questions, and 187students on Z defined as a set of 13 divisonal questions were subjects of analyses. A s a result of analyses, we clarifyed thefollowig. (1)For X , there was the difference between 5th grades and 6th grades on the score , which depends on their strategies, but for Y and Z, there wasn't the difference on the scores. (2)We knew it was easy for students to understand the situations of questions in order of ' X → Z → Y '.
Mathematics Education Society of Japan, Japanese
DOI：https://doi.org/10.34323/mesj.56.3-4_147
DOI ID：10.34323/mesj.56.3-4_147, ISSN：1349-7332, CiNii Articles ID：130007834162, CiNii Books ID：AA11830945 - A proposal of a system of mathematics teaching materials from primary school level to upper secondary school level: Examples of inquiring helix on cylinder
Saeki Akihiko; Matsuzaki Akio; Kawakami Takashi
Bulletin for mathematics education study, Volume：56, Number：1・2, First page：1, Last page：14, 2015, [Reviewed], ［Domestic magazine］
In this paper we propose a system of materials from primary level to upper secondary level, and develop teaching materials through inquiring helix on cylinder at each level. To identify the system of materials we analyze textbooks/teachers guides and prior studies from global perspective or from long term and local perspective (Ikeda & Watanabe, 2010). We develop two concrete materials following with the system of materials: one is ‘length of helix on cylinder’, and the other is ‘an angle of incline and step of helix’ and we focus on definition of helix.
Mathematics Education Society of Japan, Japanese, Scientific journal
DOI：https://doi.org/10.34323/mesj.56.1-2_1
DOI ID：10.34323/mesj.56.1-2_1, ISSN：1349-7332, eISSN：2434-8899, CiNii Articles ID：130007834135, CiNii Books ID：AA11830945 - Development of the scale for assessing the teacher's capacity for giving lessons in arithmetic education
HIROSE Takashi; SAKAI Takeshi; ISHIUCHI Hisatsugu; HASEGAWA Katsuhisa; MATSUZAKI Akio; SAITO Noboru; FURUYA Koichi
Japan Journal of Mathematics Education and Related Fields, Volume：56, Number：3, First page：161, Last page：169, 2015, [Reviewed]
In this paper, the purpose of our research is to develop the scale for assessingthe teacher's capacity for giving lessons in arithmetic education. For that purpose, wedifferentiated the teacher's capacity into the plan-capacity, the development-capacity, andthe assessment-capacity. We designed the test which consists of 51 items and carried it out on atotal of 290 teachers in elementary schools. We then conducted exploratory fact analysis ona result of the test, and 4 factors were selected from 13 items . Cronbach's coefficient ofreliability was positive for 4 factors. The Goodness of Fit Index(GFI), Adjusted Goodnessof Fit Index(AGFI), Comparative of Fit Index(CFI), and Root Mean Square Error ofApproximation(RMSEA) were positive for 13 items in terms of conirmatory factor analysis. Asa result, 13 items of the test were deems to be valid. So we could develop the scale forassessing the teacher's capacity for giving lessons in arithmetic education.
Mathematics Education Society of Japan, Japanese
DOI：https://doi.org/10.34323/mesj.56.3-4_161
DOI ID：10.34323/mesj.56.3-4_161, ISSN：1349-7332, CiNii Articles ID：130007834178, CiNii Books ID：AA11830945 - Research on development of the scales for assessing the degrees of student's understanding about "the decimal multiplied by the decimal, the decimal divided by the decimal"::For differentiation of the levels and the stages of 5th grade and 6th grade students in elementary schools
Hirose Takashi; Sakai Takeshi; Ishiuchi Hisatsugu; Saito Noboru; Matsuzaki Akio; Hasegawa Katsuhisa; Shimizu Shota
Japan Journal of Mathematics Education and Related Fields, Volume：55, Number：3, First page：77, Last page：88, 2014, [Reviewed]
The purpose of this research is to develop the scales for assessing the degrees of students'understanding about "The Decimal Multplied by The Decimal , The Decimal Divided by The Decimal " . For that purpose, we devised the problems to be checked up on the levels on the basis of earlier reseaches andcarried out the test on a total of 191 5th grade and 6th grade students in elementary schools. We thendifferentiated the levels and the stages within the levels by scalogram analysis on " The Decimal Multplied byThe Decimal , The Decimal Divided by The Decimal". We also calculated coefficient of reliability by theKuder-Richardson formula KR-20 and correlation coefficient between the results of the test and the third termscores about the students. In conclusion, we could develop the scales for assessing the levels of students'understanding about "The Decimal Multplied by The Decimal , The Decimal Divided by The Decimal".
Mathematics Education Society of Japan, Japanese
DOI：https://doi.org/10.34323/mesj.55.3-4_77
DOI ID：10.34323/mesj.55.3-4_77, ISSN：1349-7332, CiNii Articles ID：130007834138, CiNii Books ID：AA11830945 - Survey of mathematics curriculum standards for public high schools in a prefecture : The implementation of the last curriculum standards and the preparation of the new standards
ISODA Masami; MATSUZAKI Akio
Volume：53, Number：1, First page：1, Last page：13, Feb. 2013, [Reviewed], [Last], ［Domestic magazine］
Mathematics Education Society of Japan, Japanese, Scientific journal
ISSN：1349-7332, CiNii Articles ID：10031160392, CiNii Books ID：AA11830945 - A New Approach for Teaching Mathematical Modelling in Elementary School : Focusing on Setting Up Problems from the Task Situations in the Real World
KAWAKAMI Takashi; MATSUZAKI Akio
Journal of Japan Society of Mathematical Education. Mathematical education, Volume：94, Number：6, First page：2, Last page：12, 2012
Japan Society of Mathematical Education, Japanese
ISSN：0021-471X, CiNii Articles ID：110009471044, CiNii Books ID：AN00285586 - Research on development of scales for dispositions to mathematics : For elementary school teachers and students
HIROSE Takashi; SAKAI Takeshi; ISHIUCHI Hisatsugu; SAITO Noboru; MATSUZAKI Akio; HASEGAWA Katsuhisa
Volume：51, Number：3, First page：103, Last page：116, Sep. 2011
Japanese
ISSN：0915-0927, CiNii Articles ID：10029796798, CiNii Books ID：AA11830945 - Research on development of scales for dispositions to mathematics::For elementary school teachers and students
Hirose Takashi; Sakai Takeshi; Ishiuchi Hisatsugu; Saito Noboru; Matsuzaki Akio; Hasegawa Katsuhisa
Japan Journal of Mathematics Education and Related Fields, Volume：51, Number：3, First page：103, Last page：116, 2010, [Reviewed]
In this paper, we developed scales for assessing dispositions to mathematics for teachers andstudents in elementary schools. In order to develop scales for dispositions to mathematics of techers andstudents, we carried out two tests on a total of 137 teachers and 332 6th grade students in elementaryschools. We then conducted exploratory fact analysis on the results of two tests, as follows:
・Two factors were selected from respective items of two tests taken by teachers and students.
・Cronbach's α coefficients of reliability were positive for two factors.
・The Goodness of Fit Index(GFI), Adjusted Goodness of Fit Index(AGFI), and Root Mean SquareError of Approximation(RMSEA) were positive for respective items in two tests in termsof confirmatory factor analysis. As a result, the respective items of the two tests were deemed to bevalid.
After analysis we evaluated the relationships between dispositions to mathematics for teachers andstudents.
Mathematics Education Society of Japan, Japanese
DOI：https://doi.org/10.34323/mesj.51.3-4_103
DOI ID：10.34323/mesj.51.3-4_103, ISSN：1349-7332, CiNii Articles ID：130007834129 - Research on development of scales for affect of mathematics:For elementary school teachers and students
Hirose T.; Saito N.; Matsuzaki A.; Ishiuchi H.; Saeki A.; Hasegawa K.; Sakai T.
Japan Journal of Mathematics Education and Related Fields, Volume：50, Number：3, First page：79, Last page：89, 2009
The purpose of our research is to develop scales for teachers' and students' affect tomathematics in arithmetic education and to find out relationships between teacher's and student's affect tomathematics.To develop scales for assessing teachers' and students' affect to mathematics, we carried outtwo examinations which were intended for 137 teachers and 332 6th grade students in elementary schools.According to results of the exploratory factor analysis for two tests, values of Cronbach's α coefficients ofreliability were good in the loaded factors . Moreover, Goodness of Fit Index(GFI), Adjusted Goodnessof Fit Index(AGFI), and Root Mean Square Error of Approximation(RMSEA) were good in validity ofitems of factors loaded by confirmatory factor analysis. Therefore we could develop scales for assessingteachers' and students' affect to mathematics through analyses and inqiries of results of two tests. We alsoclarified relationships between teachers' and students' affect to mathematics by comparing the morecommon ones of items of teachers' and students' affect to mathematics.
Mathematics Education Society of Japan, Japanese
DOI：https://doi.org/10.34323/mesj.50.3-4_79
DOI ID：10.34323/mesj.50.3-4_79, ISSN：1349-7332, CiNii Articles ID：130007834117 - 数学的モデリング能力の特定方法に関する研究－原場面への注目と課題分析マップの援用－
松嵜昭雄
Volume：6, Number：6, First page：119, Last page：133, 2008, [Reviewed]
Japanese, Scientific journal
CiNii Articles ID：10031083035 - 数学的モデリングを軸とする数学科と他教科の総合の提案－数学科と華道科の総合を事例として－
松嵜昭雄; 長野東
Number：6, First page：24, Last page：31, 2003, [Reviewed], [Lead]
Japanese, Scientific journal
ISSN：1347-8958, CiNii Articles ID：40006206598 - THE ROLES OF MEDIATIONAL MEANS FOR MATHEMATIZATION : THE CASE OF MECHANICS AND GRAPHING TOOLS
ISODA Masami; MATSUZAKI Akio
Journal of Science Education in Japan, Volume：27, Number：4, First page：245, Last page：257, 2003, [Reviewed]
In order to research tasks for mathematization in a technological environment, this study observed the processes where students constructed a mathematical entity from mechanical linkages through being asked questions by their teachers. From a Vygotskian perspective (Wertsch, 1991), the functions and restrictions of mediational means were focused upon. The process of students' construction was divided into four cognitive phases according to the representational phases of mathematization (Isoda, 1993). The process illustrated that obstacles to changing the cognitive mode from non-reflective cognition to reflective cognition (Norman, 1993) and the roles of mediational means changed as a result of the teacher's questions that aimed at overcoming the restrictions of the means from representation to interpretation. As for the tasks for mathematization, this case study implied the necessity of achieving synchronization between mathematical representation and physical objects.
Japan Society for Science Education, English
DOI：https://doi.org/10.14935/jssej.27.245
DOI ID：10.14935/jssej.27.245, ISSN：0386-4553, CiNii Articles ID：110002705925, CiNii Books ID：AN00036978 - 数学的モデリングの評価に関する基礎的研究－現実世界における問題の解決過程に焦点をあてて－
松嵜昭雄
Volume：77, First page：45, Last page：45, 2001, [Lead, Corresponding]
Japanese, Master thesis
CiNii Articles ID：110003734377, CiNii Books ID：AN00311755 - 数学的モデリングにおける理解深化に関する一考察－クランク機構の関数関係の把握－
松嵜昭雄; 礒田正美
Volume：81, Number：3, First page：20, Last page：25, 1999, [Reviewed], [Lead]
- モデリング・サイクルにもとづく中学校数学科授業研究に関する一考察 : 「小指ギャップ」の研究授業の構想と実際に焦点をあてて—A Consideration on Mathematics Lesson Study in Lower Secondary School Based on Modelling Cycle : Focus on Planned Lesson and Implemented Lesson of 'Little Toe Gap'
松嵜 昭雄
Volume：8, First page：187, Last page：194, 07 Jun. 2020
Japanese
CiNii Articles ID：40022492593 - A first study on the lesson designers’ conditions and constraints that characterize the process of lesson design
HAYATA Toru; MIZOGUCHI Tatsuya; MATSUZAKI Akio; SHINNO Yusuke
JSSE Research Report, Volume：34, Number：8, First page：29, Last page：34, 23 May 2020
本研究プロジェクトの目的は，授業研究（Lesson Study）を比較・分析するための理論的枠組みを作成することである。このため，本稿においては，授業研究に含まれる授業設計プロセスに着目し，4都市における教員養成系大学の学生が行った授業設計プロセスを比較した。その目的は，授業設計のプロセスがどの様な条件と制約を受け，どの様な形態を採っているかを明らかにすることである。プラクセオロジーとその決定レベルを理論的枠組みとして分析を行った結果，次の3つの可能性が確かめられた。まず，数学的なプラクセオロジーの設計においては，領域以下のレベルでの条件と制約に違いがあることが示唆された。次に，参加者による教授行為の組織に影響を与える条件と制約の決定レベルは，参加者同士で合意が形成されていないレベルよりも下であることが示唆された。最後に，用いる指導案のフォーマットによって，授業設計のプロセスに大きな差が認められる可能性が示された。
Japan Society for Science Education, Japanese
DOI：https://doi.org/10.14935/jsser.34.8_29
DOI ID：10.14935/jsser.34.8_29, eISSN：1882-4684, CiNii Articles ID：130007844890 - モデリングにおける数学の臨界を議論する上での諸課題 : Werner Blumが関わる図式における「Grundvorstellungen」や場面モデルに着目して—Investigation Subjects for Discussing Criticality of Mathematics in Modeling : Focus on 'Grundvorstellungen' or Situation Model in Schemata of Modelling by Werner Blum
松嵜 昭雄
Volume：7, First page：43, Last page：48, 16 Jun. 2019
Japanese
CiNii Articles ID：40022494464 - 数理科学教育のカリキュラム構成モデルに関する一提案 : STEM教育に対するdisciplinaryアプローチを手がかりとして—A Proposal of the Curriculum Structure Models of Mathematical Science Education : Focus on the Disciplinary Approaches for STEM Education
松嵜 昭雄; 松島 充
Volume：7, First page：149, Last page：156, 16 Jun. 2019
Japanese
CiNii Articles ID：40022495167 - Grappling with Mathematics Lesson Study and Features of Pattern of Mathematics Teaching in Mongolia
TAKEI Hiro; MATSUZAKI Akio
JSSE Research Report, Volume：33, Number：4, First page：5, Last page：10, 16 Mar. 2019
本稿では，学習指導のシステムとしての記述である「授業の基本形」にもとづき，モンゴル国の数学授業の特徴づけをおこなう．そして，日本の基本形に照らし合わせて，比較する．比較対象は，筆者らが渡航した12月3日から9日までに，モンゴル国でおこなわれた6つの数学授業である．モンゴル国における6つの数学授業を比較した結果，「開始」は，日本の基本形に似通った授業が展開されており，「核心部分」「終末」は，日本の基本形に似通ったものと合致しないものがあった．
Japan Society for Science Education, Japanese
DOI：https://doi.org/10.14935/jsser.33.4_5
DOI ID：10.14935/jsser.33.4_5, eISSN：1882-4684, CiNii Articles ID：130007610962 - A Consideration on Perspectives and Ideas of Ratio and Percentage in “Problem of Property Check”: Based on the Investigation for the 6th Grade Pupils at Elementary School in Saitama Prefecture
MORISHIMA Reina; IMAI Kazuhiko; YAMADA Yuki; MATSUZAKI Akio
Proceedings of the Annual Meeting of Japan Society for Science Education, Volume：43, First page：548, Last page：551, 2019
割合の理解に課題があることは，60年以上も前から指摘されている．現在もこの課題は解決されていない．そこで本稿では，埼玉県内公立小学校第6学年を対象としておこなわれた調査の内で，百分率に関する「持ち物検査問題」に焦点をあてる．そして，「持ち物検査問題」の解答とその解答を選んだ理由をもとに，割合の問題の解き方という視点で，児童が割合と百分率に対してどのような見方・考え方をもっているのかを明らかにすることを目的とする．解答を選んだ理由を考察した結果，百分率に起因する誤答と百分率に起因しない誤答に大別することができた．百分率に起因する誤答からは，割合と百分率の関係を十分に理解していないことに課題があることが想定できた．そして，割合と百分率が上手く接続できていないことが，百分率を理解することを困難にしているのではないかという示唆を得た．
Japan Society for Science Education, Japanese
DOI：https://doi.org/10.14935/jssep.43.0_548
DOI ID：10.14935/jssep.43.0_548, ISSN：2186-3628, eISSN：2433-2925, CiNii Articles ID：130007882929 - Toward for Identification of Mathematical Perspectives and Ideas on the Process Drawing the Area Figure and Number Line of Fraction Division
OCHIAI Misa; TAKEI Hiro; MATSUZAKI Akio
Proceedings of the Annual Meeting of Japan Society for Science Education, Volume：43, First page：552, Last page：555, 2019
次期学習指導要領では，分数の乗除に関する内容が移行となる．本稿では，分数÷分数の算数科教科書における，面積図と数直線の複合図に着目する．複合図は，除数が単位分数ではない場合と単位分数である場合の2つに大別できる．例として，G社とKe社に掲載されている複合図の作成過程について整理する．これにより，複合図の作成過程において働く数学的な見方・考え方の特定に向けた考察を行う．
Japan Society for Science Education, Japanese
DOI：https://doi.org/10.14935/jssep.43.0_552
DOI ID：10.14935/jssep.43.0_552, ISSN：2186-3628, eISSN：2433-2925, CiNii Articles ID：130007882901 - Reconsideration on the Investigation Result of Image Identification of Reading Skill Test in Elementary School Mathematics: Based on the Investigation for the 6th Grade Pupils at Elementary School in Saitama Prefecture
IMAI Kazuhiko; YAMADA Yuki; MATSUZAKI Akio
Proceedings of the Annual Meeting of Japan Society for Science Education, Volume：43, First page：429, Last page：432, 2019
本研究では，リーディングスキルテストによって判定される基礎的読解力の1分野である「イメージ同定」に焦点を当てている．これまでに，全国学力・学習状況調査（小学校・算数）とTIMSSの算数問題を参考にし，イメージ同定を測定する問題を提案した．そして，埼玉県内公立小学校第6学年73名を対象として，筆者らが提案した問題3題（「持ち物検査問題」「リサイクル問題」「ぬりつぶし問題」）を出題し，イメージ同定を測定する調査をおこない，解答類型をもとに考察している．本稿では，埼玉県内公立小学校第6学年162名を対象として，おこなった調査結果の解答類型をもとに，追考をおこなう．
Japan Society for Science Education, Japanese
DOI：https://doi.org/10.14935/jssep.43.0_429
DOI ID：10.14935/jssep.43.0_429, ISSN：2186-3628, eISSN：2433-2925, CiNii Articles ID：130007882920 - A Consideration on Perspectives and Ideas of Ratio and Percentage in “Problem of Property Check”: Based on the Investigation for the 6th Grade Pupils at Elementary School in Saitama Prefecture
森嶋麗奈; 今井壱彦; 山田優基; 松嵜昭雄
日本科学教育学会年会論文集(Web), Volume：43rd, 2019
ISSN：2433-2925, J-Global ID：202002266760043716 - Reconsideration on the Investigation Result of Image Identification of Reading Skill Test in Elementary School Mathematics: Based on the Investigation for the 6th Grade Pupils at Elementary School in Saitama Prefecture
今井壱彦; 山田優基; 松嵜昭雄
日本科学教育学会年会論文集(Web), Volume：43rd, 2019
ISSN：2433-2925, J-Global ID：202002273270419936 - Toward for Identification of Mathematical Perspectives and Ideas on the Process Drawing the Area Figure and Number Line of Fraction Division
落合美沙; 竹井丈広; 松嵜昭雄
日本科学教育学会年会論文集(Web), Volume：43rd, 2019
ISSN：2433-2925, J-Global ID：202002284068038620 - 摂動に着目したモデルとデータの相違 : 「桜の開花予想」の指導を再考する事例を通して—Difference between Models and Data from the Perturbation Perspective : Through a Review of Reconsideration of "Cherry Blossom Forecast" Teaching by Leading with Activity of Generating and Choosing Variables
松嵜 昭雄
Volume：6, First page：159, Last page：166, 10 Jun. 2018
Japanese
CiNii Articles ID：40022277975 - 中学生対象の数学ワークショップでインストラクターをつとめた大学院生ペアのサイエンスコミュニケーションに関する技法—Science Communication Skills of the Graduate Students who are Instructors in Mathematics Workshop for Under Secondary Students
松嵜 昭雄
Volume：6, First page：11, Last page：16, 10 Jun. 2018
Japanese
CiNii Articles ID：40022277359 - Development of Investigation Problem for Mathematical Modelling in Control of Robot by Gesture: Linking between LEGO®MINDSTORMS®EV3 and Kinect for Windows and Focus on Functions of ICT.
NAMIKI Atsushi; SUGAHARA Yuhei; MATSUZAKI Akio
JSSE Research Report, Volume：32, Number：7, First page：43, Last page：48, 25 Mar. 2018
本稿では，ソフトウェアKinect Integration For EV3/NXT により，教育版レゴ®マインドストーム®EV3 とKinect を連動することを前提とした，ジェスチャーによるロボット操作における数学的モデリングの調査問題を開発する。そして，数学的モデリングの調査問題の正答例をロボット操作の手順に従って示し，ICT の機能に着目して解説する。
Japan Society for Science Education, Japanese
DOI：https://doi.org/10.14935/jsser.32.7_43
DOI ID：10.14935/jsser.32.7_43, eISSN：1882-4684, CiNii Articles ID：130007387659 - Features of Patterns of Mathematics Teaching in Three Micronesian Countries: Focus on the Teachers who Participated JOCV Regional Training of Math Education in Micronesia (3 countries)
MATSUZAKI Akio; KANEKO Masafumi
JSSE Research Report, Volume：28, Number：5, First page：72, Last page：77, 2018
本稿では，学習指導のシステムとしての記述である「授業の基本形」にもとづき，ミクロネシア 3 国の数学授業の特徴づけを行う。そして，日本の基本形に照らし合わせて，比較する。比較対象となった授業の指導者は，いずれも，ミクロネシア3 国広域研修の参加経験がある。3 校の数学授業を比較した結果，「開始」「終末」は異なる活動であり，広域研修の成果や各国独自の取組をいかした活動であった。「核心部分」は，各校とも異なり，日本の基本形に似通った授業が展開されたものもあった。
Japan Society for Science Education, Japanese
DOI：https://doi.org/10.14935/jsser.28.5_72
DOI ID：10.14935/jsser.28.5_72, eISSN：1882-4684, CiNii Articles ID：130006655648 - A Consideration on Mathematical Modelling thorough Controlling of the Robot by Gestures (2): A Case of Experimental Lesson for University Students.
NAMIKI Atsushi; SUGAHARA Yuhei; MATSUZAKI Akio
Proceedings of the Annual Meeting of Japan Society for Science Education, Volume：42nd, First page：383, Last page：386, 2018
筆者らは，中等教育段階数学科における複数の ICT を連動したデジタル教材の開発をおこなっている。具体的には，ソフトウェア Kinect Integration For EV3/NXT により，教育版レゴ®マインドストーム®EV3 と Kinect を連動する。本稿では，コンピュータモデルに注目したモデリング・サイクルにもとづいて，ジェスチャーによるロボット操作をテーマと した実験授業における大学生のモデリングを説明する。
Japan Society for Science Education, Japanese
DOI：https://doi.org/10.14935/jssep.42.0_383
DOI ID：10.14935/jssep.42.0_383, ISSN：2186-3628, eISSN：2433-2925, J-Global ID：201802223659091531, CiNii Articles ID：130007663353 - A Study on Mathematical Modelling Competencies focused on Gen-Bamen: Using the Method of 'Phnomenologic' by Husserl, E. in the Middle Letter Peiod and Applied Response Analysis Mapping
MATSUZAKI Akio
Journal of Japan Society of Mathematical Education, Volume：98, Number：R107108, First page：27, Last page：38, 30 Nov. 2017, [Lead, Corresponding]
Japan Society of Mathematical Education, Japanese
DOI：https://doi.org/10.32296/jjsme.98.r107108_27
DOI ID：10.32296/jjsme.98.r107108_27, ISSN：0021-471X, eISSN：2434-8619, CiNii Articles ID：130007938672 - 「持続可能な開発のための教育(ESD)」の視点に立つ算数・数学の学習方法と学習形式に関する一考察 : 算数学習の指導実践例の検討を通して—Learning Method and Learning Style of Mathematics from the Viewpoints of ESD : Through Good Practices of Implementations of Mathematics Lessons in Elementary Level in Japan
松嵜 昭雄
Volume：5, First page：91, Last page：98, 11 Jun. 2017
Japanese
CiNii Articles ID：40022277585 - 小・中・高等学校を見通したプログラミング指導とモデリング-ICT利用を前提とするモデリングの記述に焦点をあてて-
松嵜昭雄
Volume：41st, 2017
ISSN：2186-3628, J-Global ID：201702212082338344 - 変換に着目したモデリング授業-スーパーサイエンスハイスクール指定校での取組-
松嵜昭雄
Volume：40th, 2016
ISSN：2186-3628, J-Global ID：201602265490032945 - 数学教育からみた教具レゴを用いたモデリング研究への期待-モデリング課題研究の企画趣旨説明とわが国におけるSTEM教育の展開に向けて-
松嵜昭雄
Volume：39th, 2015
ISSN：2186-3628, J-Global ID：201602226600555605 - 複数のICT利用前提下における学習者のモデリングの評価-トルコ共和国内国立大学の大学院生を対象とするモデリング・ワークショップにおける回答分析-
塚原康介; 松嵜昭雄
Volume：39th, 2015
ISSN：2186-3628, J-Global ID：201602230120277588 - Lecture by Hiroe Tsubaki: Statistical Prediction and Uncertainty Management APEC-Tsukuba International Conference IX (3)
Matsuzaki Akio; Ozasa Hiro
Japan Journal of Mathematics Education and Related Fields, Volume：56, Number：1-2, First page：97, Last page：100, 2015
This is the report of the lecture by Hiroe Tsubaki on the title ‘Statistical Prediction and
Uncertainty Management’ which explained the grammar of science and the uncertainty
management and scientific decision process with decision tree analysis and value of
additional information. This lecture was done for the conference theme ‘Mathematics
Education for Future Prediction’.
Mathematics Education Society of Japan, Japanese
DOI：https://doi.org/10.34323/mesj.56.1-2_97
DOI ID：10.34323/mesj.56.1-2_97, ISSN：1349-7332, eISSN：2434-8899, CiNii Articles ID：130007834151, CiNii Books ID：AA11830945 - Panel Discussion: Curriculum Standards for Elementary and Secondary Education APEC-Tsukuba International Conference IX (4)
Matsuzaki Akio; Isoda Masami
Japan Journal of Mathematics Education and Related Fields, Volume：56, Number：1-2, First page：101, Last page：106, 2015
This is the report of the panel discussion on APEC - University of Tsukuba
International Conference by Inprasitha, M. (Thailand), Nagao, A. (Japan), Widodo
(Indonesia), Lew, H. (Korea) and Toh, T. (Thailand) who are engaging in key roles for
curriculum reform in their country.
Mathematics Education Society of Japan, Japanese
DOI：https://doi.org/10.34323/mesj.56.1-2_101
DOI ID：10.34323/mesj.56.1-2_101, ISSN：1349-7332, eISSN：2434-8899, CiNii Articles ID：130007834134, CiNii Books ID：AA11830945 - Lecture by Barbara Jaworski: Research on Teacher Education in Mathematics through collaborative inquiry-based processes including teachers and students APEC-Tsukuba International Conference IX (2)
Matsuzaki Akio; Ozasa Hiro
Japan Journal of Mathematics Education and Related Fields, Volume：56, Number：1-2, First page：93, Last page：95, 2015
This is the report of the lecture by Barbara Jaworski on the title ‘Research on
Teacher Education in Mathematics through collaborative inquiry-based processes
including teachers and students’ On her lecture, co-learning among researchers, teachers,
and students were analyzed and the framework for mutual related inquiries in
mathematics, mathematics teaching and research were proposed.
Mathematics Education Society of Japan, Japanese
DOI：https://doi.org/10.34323/mesj.56.1-2_93
DOI ID：10.34323/mesj.56.1-2_93, ISSN：1349-7332, eISSN：2434-8899, CiNii Articles ID：130007834153, CiNii Books ID：AA11830945 - 「授業の基本形」にもとづくミクロネシア国ヤップ州の数学授業の分析
金児 正史; 松嵜 昭雄
Volume：8, First page：31, Last page：36, 30 Nov. 2014
In this paper, we analyze two mathematics lessons in Yap State of Federated States of Micronesia using 'Patterns of Teaching'. These two lessons were also checked according refining the images of topic segments of lessons, Using 'Patterns of Teaching' and refining the images of topic segments of lessons show an outline of lessons. This result is found through JICA review research on JOCV Regional Training of Math Education in Micronesia (3 countries).
Japanese
DOI：https://doi.org/10.24727/00024792
DOI ID：10.24727/00024792, ISSN：1881-0799, CiNii Articles ID：110009895671, CiNii Books ID：AA12234503 - Proposal of Statistics Teaching for New National Curriculum Standards in Mathematics on Grade 1 to 10
Matsuzaki Akio; Kanemoto Yoshimichi; Ooneda Yutaka; Aoyama Kazuhiro
Volume：96, Number：2, First page：11, Last page：21, Jan. 2014, [Lead, Corresponding], [Domestic magazine]
Japanese, Introduction scientific journal - A Mathematical Modelling Teaching Based on Dual Modelling Cycle Framework in Elementary School
川上 貴; 佐伯 昭彦; 松嵜 昭雄
Number：5, First page：39, Last page：54, 2013
Japanese
ISSN：1884-376X, CiNii Articles ID：40020074336, CiNii Books ID：AA12497182 - Fictional Feature of Mathematical Modeling and Significance of Problem Posing on Mathematics Education
KISHIMOTO Tadayuki; MATSUZAKI Akio; ISODA Masami
Journal of Japan Society of Mathematical Education. Mathematical education, Volume：94, Number：5, First page：41, Last page：44, 01 May 2012
Japan Society of Mathematical Education, Japanese
ISSN：0021-471X, CiNii Articles ID：110009445282, CiNii Books ID：AN00285586 - オーストラリアにおけるモデリングの1つの取り組み-「数学的モデリング・チャレンジ」を視察して-
松嵜昭雄
Volume：496, First page：32, Last page：33, 2012
CiNii Articles ID：20001072070 - Research on Influences of Problem-Situations in expressions for ' The Decimal Divided by The Decimal, The Decimal Multiplied by The Decimal':For Fifth Grade Students
HIROSE Takashi; SAKAI Takeshi; ISHIUCHI Hisatsugu; FUNAKOSHI Shunsuke; MATSUZAKI Akio; HASEGAWA Katsuhisa
JSSE Research Report, Volume：26, Number：1, First page：17, Last page：22, 2011
本研究では,「小数×小数, 小数÷小数」に関して, 数の大きさは同じであるが,問題場面の状況が異なる問題を提示したとき, 児童がどのような問題場面の状況の立式に困難を示すかを明らかにすることを目的とする。調査結果の分析・考察から,「小数×小数, 小数÷小数」の立式に関して, 次のような事柄が明らかになった。(1) 乗法に関する「問題の構造」の理解は, 長さと重さ→重さとかさ→かさと面積の順に低くなり,「大×小」方略に依存している児童が, 約 15%いる。そして,「問題場面の状況」から, 乗法を行えばよいと考えた児童は, 2/3 以上いると考えられる。(2) 除法に関する問題 2・5・8, 問題 3・6・9 における「問題構造」の理解は低く,「大÷小」方略に依存している児童は, 1/4 程度いると考えられる。また,「問題場面の状況」から, 除法を行えばよいと考えた児童は, 問題 2・5・8 では 2/3 程, 問題 3・6・9では 1/2 ～ 2/3 程いると考えられる。(3) 乗法に関して,「長さと重さ」と「かさと面積」の間には有意な差があり,「問題場面の状況」が立式に影響を及ぼすと考えられる。
Japan Society for Science Education, Japanese
DOI：https://doi.org/10.14935/jsser.26.1_17
DOI ID：10.14935/jsser.26.1_17, CiNii Articles ID：130006659983 - Making DVD and Proposal of Teacher Training Program of Mathematics Education : Through the Meeting in Republic of the Fiji Islands & Meetings in Japan
松嵜 昭雄
Volume：5, First page：23, Last page：27, 2010
In this paper, plans & developments of the project of research & development in ICT education cooperation implemented in INCET are reported. At the meeting in the public of the Fiji islands DVD contents with persons of the University of South Pacific, ministry of education and JICA Fiji office. After that At the meetings in Japan we discuss from perspectives of ICT using and international cooperation and contents of mathematics education perspectives. As INCET project, we will continuously discuss about improvement about DVD contents and educational training program for in-service and pre-service teachers.
International Cooperation Center for the Teacher Education and Training, Naruto University of Education, Japanese
ISSN：1881-0799, CiNii Articles ID：120005667417, CiNii Books ID：AA12234503 - 開発途上国に対する図画工作・美術教育の一提案－パラオ共和国アイライ小学校での授業実践例－
森本美鶴; 松嵜昭雄
First page：1, Last page：4, 2009 - ハンズオン教材に関するワークショップ
服部勝憲; 松嵜昭雄
First page：131, Last page：136, 2009 - Analysis of Consciousness to “Proportion” and Answer Conditions for Problems of “Proportion”: For Teachers and 6th Grade Students in Elementary School
HIROSE Takashi; AKITA Miyo; SAITO Noboru; MATSUZAKI Akio; FUJIWARA Nobuhiko; HASEGAWA Katsuhisa; SAKAI Takeshi
First page：135, Last page：144, 2009 - 日本国内の実践知を反映したハンズオン素材の集約と教材の作り方－パラオ共和国アイライ小学校における実践事例紹介を通じて－
松嵜昭雄
Volume：4, Number：4, First page：15, Last page：19, 2009
In this paper, the result of our project implemented by INCET, named "The hands-on materials-intensive reflected practical wisdom in Japan" is reported, which is a part of "Cooperation Bases System" promoted by MEXT. This project focus on process to make hands-on teaching materials. As case study lesson practice in Republic of Palau with teaching materials is introduced.
Japanese
ISSN：1881-0799, CiNii Articles ID：110009895626, CiNii Books ID：AA12234503 Development of Teaching Materials, Method and Curriculum : Focus on Differential Equation and Statistics Connecting to the Learning in Upper Education
松嵜 昭雄; 駒野 誠; 更科 元子
Volume：47, First page：39, Last page：97, Mar. 2008
Japanese
ISSN：1347-0817, CiNii Articles ID：120003290512, CiNii Books ID：AA11931228- 3：学習意欲を高める教材の開発：机の投影図を描いてみよう[3年]
松嵜昭雄
Number：606, First page：74, Last page：78, 2008 - Pf-3. 無限集合の確率
松嵜昭雄
First page：38, Last page：39, 2008 - A study of conditions for deciding curves through the three points on the plane: inquiry into the family of function in the 11th grade students in Honduras
松嵜昭雄; 林大樹
Tsukuba journal of educational study in mathematics, Number：27, First page：51, Last page：60, 2008
Japanese
ISSN：0919-3928, CiNii Articles ID：40016322434, CiNii Books ID：AN10384722 - A3. 置換と正多面体群
松嵜昭雄
First page：12, Last page：18, 2007 - 数学的モデリング能力の特定に向けて－原場面への注目と課題分析マップの援用－
松嵜昭雄
First page：4, Last page：5, 2007 - The 37th Presentation of Theses on Mathematical Education
松嵜 昭雄
Journal of Japan Society of Mathematical Education, Volume：85, First page：48, Last page：48, 31 Mar. 2006
Japan Society of Mathematical Education, Japanese
CiNii Articles ID：110004718666, CiNii Books ID：AN00311755 - 研究動向から見た学習指導法の改善No.132：ベトナムの数学授業を参観して－ハノイ－アムステルダム中等教育学校の授業参観－
松嵜昭雄
Number：584, First page：88, Last page：92, 2006 - 5.2.2：高校2年生 (1) 残差分析によるデータ系列の関係分析
松嵜昭雄
First page：30, Last page：34, 2006 - 第2部 ベトナム渡航調査報告：ベトナムの数学授業を参観して－ハノイ－アムステルダム中等教育学校の授業参観－
松嵜昭雄
First page：25, Last page：32, 2006 - 初等メカトロニクス教具レゴを用いた数学的モデリング教材
松嵜昭雄
First page：59, Last page：60, 2006 - レゴモデルにみる数学的モデリングの実際 －厳正直線運動を実現するPeaucellierの機構の再現過程－
松嵜昭雄; 町田多加志
First page：216, Last page：221, 2006 - 3.5.3：三角関数表を作る
松嵜昭雄
First page：40, Last page：43, 2005 - 「日常生活で生じる問題」への数学的取り組みに関する調査－多岐選択肢式の調査問題に対する回答の分析－
松嵜昭雄
Number：28, First page：61, Last page：103, 2005 - 数学的モデリング能力の特定方法に関する一考察
松嵜昭雄
First page：187, Last page：190, 2005 - 研究動向から見た学習指導法の改善No.106：現実的数学教育(RME)におけるモデリングの捉え方－14th ICMI StudyにおけるGravemeijerの論文より－
松嵜昭雄
Number：558, First page：104, Last page：108, 2004 - 連載／学ぶよさ・楽しさを味わえる海外の算数教材(4)：「発育の早い植物」の観察における数学
松嵜昭雄
Number：239, First page：62, Last page：64, 2004 - 研究動向から見た学習指導法の改善No.112：モデリング・スキルの評価テストの分析と結果
松嵜昭雄
Number：564, First page：105, Last page：108, 2004 - 「数列」の単元における生徒のつまずきの様相－高校1年生を対象とした授業観察記録－
小林真人; 松嵜昭雄
Number：21, First page：215, Last page：239, 2004 - 第1節：算数・数学の身近な事象への利用に関する考察－児童・生徒と教師の質問紙調査の結果をもとに－
松嵜昭雄
First page：121, Last page：132, 2004 - 数学的モデリングにおける逆問題の位置に関する一考察－「ビリヤード問題」を事例として－
松嵜昭雄
Number：23, First page：59, Last page：68, 2004
Japanese
ISSN：0919-3928, CiNii Articles ID：40007418957, CiNii Books ID：AN10384722 - 研究動向から見た学習指導法の改善No.96：モデリング研究におけるいくつかの課題－14th ICMI Studyディスカッション・ドキュメントを参照して－
松嵜昭雄
Volume：7, Number：558, First page：99, Last page：103, 2003
CiNii Articles ID：10021351715 - 研究動向から見た学習指導法の改善No.88：数学的モデリングにおける仮定の役割－現実の文脈と数学の文脈に注目して－
松嵜昭雄
Number：540, First page：104, Last page：107, 2002 - 原場面の役割を視点とする数学的モデリング能力の同定 －オーストラリア・ビクトリア州における数学教科書の問題分析を通じて－
松嵜昭雄
Number：21, First page：55, Last page：62, 2002
Japanese
ISSN：0919-3928, CiNii Articles ID：40005548531, CiNii Books ID：AN10384722 - Identification of Mathematical Modelling Ability from a View Point of the Role of the Original Situations : Through the Concreteness by Analysis of Mathematical Modeling Problem.
Tsukuba Journal of Educational Study in Mathematics, Volume：Vol 21. pp. 55-62, 2002 - 研究動向から見た学習指導法の改善No.58：数学的モデル化におけるテクノロジー利用に関する研究動向
松嵜昭雄
Number：509, First page：106, Last page：109, 2001 - 研究動向から見た学習指導法の改善No.75：事象の問題解決過程の評価に関する研究動向－メタ認知，ストラテジーと課題分析マップの利用
松嵜昭雄
Number：526, First page：106, Last page：109, 2001 - 算数・数学科と他教科の総合に関する一考察－日本・アメリカ・韓国の3カ国の国際比較を通じて－
松嵜昭雄
First page：43, Last page：52, 2001 - Analysis of Projected Figures in the Process of Re-creating a Work of Art in KADO : Through the Assessment of Mathematical Modelling.
MATSUZAKI Akio; MATSUZAKI Mayumi
First page：285, Last page：293, 2001 - 数学的モデリングにおける原場面の役割に関する一考察－「リレー問題」の事例分析を通じて－
松嵜昭雄
First page：271, Last page：272, 2001 - 原場面を視点とする数学的モデリング能力の特定と調査 －課題分析マップによる変数問の関係の記述を通して－
松嵜昭雄; 北島茂樹
First page：313, Last page：318, 2001
Japanese
CiNii Articles ID：110007174902, CiNii Books ID：AN10466088 - A Basic Study of Assessment of Mathematical Modelling: Focus on the Solving Process of Problem in the Real World
Master Thesis in Doctoral Program of Education, University of Tsukuba, 2001 - Specific and Research of Mathematical Modelling Ability from a View Point of the Original Situations : Through the discription the relationship between valiables by the method of Task Analysis Mapping
Proceedings of 34th Research Meeting of Japan Society of Mathematical Education, Volume：pp. 313-318, 2001 - Analysis of Projected Figures in the Process of Re-creating a Work of Art in KADO : Through the Assessment of Mathematical Modelling.
Proceedings of Mathematics & Design 2001, Volume：pp. 285-293, 2001 - 数学的モデリングを遂行する際の必要条件に関する一考察－原場面への着目と変数による問題の分類を通じて－
松嵜昭雄
First page：259, Last page：264, 2000
Japanese
CiNii Articles ID：110007174777, CiNii Books ID：AN10466088 - A Study of Necessary Condition of Carrying Out Mathematical Modelling : Focus on Original Situation and Classification of Variables in Problem
Proceedings of 33rd Research Meeting of Japan Society of Mathematical Education, First page：259, Last page：264, 2000 - Mathematical modeling in the inquiry of linkages using LEGO and graphic calculator. Does new technology alternate old technology?
M Isoda; A Matsuzaki
PROCEEDINGS OF THE FOURTH ASIAN TECHNOLOGY CONFERENCE IN MATHEMATICS, First page：113, Last page：122, 1999
This study discussed the roles of old technology and new technology in the teaching of mathematical modeling. In this paper, a crank mechanism made of LEGO was used for teaching mathematical modeling. This paper, as the third phase of the research (Isoda, Matuzaki, Nakajima, 1998), discussed the changing roles of LEGO and a Graphic Calculator if we added the activity of making linkage (Matuzaki; 1999). From the case study, this paper distinguished the four cognitive phases through mathematical modeling: reasoning with the visual image in real world, reasoning with the mechanical structure, reasoning with the mathematical model without the mechanical structure and reasoning with the mathematical model and the mechanical structure. With comparing our results with Rose Mary Zbiek's research (1998) which discussed the role of new technology in formulation of the model, this research discussed following: the real world activity should be distinguished before and after knowing the mechanical structure, and the mathematical activity with the model should be distinguished before and after synchronizing the parameters of the model and the parts of the mechanics. In this paper, graphic calculator as a piece of new technology helped mathematical works in the process of the mathematical modeling and LEGO as a piece of old technology helped the activity in real world. The synchronization of the model with the mechanics was supported by both technologies.
ATCM, INC, English
Web of Science ID：WOS:000225709000012 - 「総合的な学習の時間」における数学科の寄与に関する一考察－数学的モデリングの活用をふまえて－
松嵜昭雄
First page：47, Last page：55, 1999 - 数学科研究授業記録－研究授業指導案とプロトコルの記録を中心に－
松嵜昭雄
Number：21, First page：154, Last page：185, 1999 - 数学的モデリングによる数学科と他教科との統合的学習に関する基礎研究 －数学教育再構成運動と総合学習の理論を踏まえて－
松嵜昭雄
Volume：18, First page：85, Last page：86, 1999
Japanese
ISSN：0919-3928, CiNii Articles ID：110000542691, CiNii Books ID：AN10384722 - 初等メカトロニクス教具による数学科と他教科の総合についての一考察 －レゴによる機構の探究学習を事例にして－
松嵜昭雄; 礒田正美
First page：261, Last page：262, 1999 - Mathematical Modeling in the Inquiry of Linkages Using LEGO and Graphic Calculator : Does Now Technology Alternate Old Technology?
Proceedings of the Fourth Asian Technology Conference in Mathematics, First page：113, Last page：122, 1999 - A Research for the Integration Between Mathematics and Other Subjects Using Mechatronics : A Inquiry of the Piston Crank Mechanism with LEGO
Proceedings of the 23rd Annual Meeting Japan Society for Science Education, First page：261, Last page：262, 1999 - How Can We Change Students' Understanding to Connect Real World with Mathematics thorough Mathematical Modelling : Using Crank Mechanism as a Representation of a Function
Journal of Japan Society of Mathematical Education, Volume：81, Number：3, First page：20, Last page：25, 1999 - Mathematics Inquiry Enhanced by Harmonized Approach via Technology, A crank mechanism represented by LEGO and graphing tools
ISODA M.
Proceedings of the ICMI-EARCME, 1998, Volume：3, Number：3, First page：267, Last page：287, 1998
CiNii Articles ID：10024226085 - LEGO dactaとグラフ電卓による，実験的授業のアプローチを取り入れた授業の一考察－クランク機構の事物・現象と関数の関連づけを通して－
松嵜昭雄
First page：184, Last page：194, 1998 - An Approach for Integrate Curriculum Including Mathematics : Modelling for Mathematization of Real World and Relations to the Other Subjects
Proceedings of the First International Commission on Mathematical Instruction-East Asian Regional Conference on Mathematics Education, Volume：1, First page：359, 1998 - Mathematics Inquiry Enhanced by Harmonized Approach via Technology : A crank mechanism represented by LEGO and graphing tools
Proceedings of the First International Commission on Mathematical Instruction-East Asian Regional Conference on Mathematics Education, Volume：3, First page：267, Last page：278, 1998
- 中等数学科教育法序論
黒田, 恭史; 富永, 雅; 岡本, 尚子; 御園, 真史; 北島, 茂樹; 星野, 孝雄; 葛城, 元; 守屋, 誠司; 吉村, 昇; 河崎, 哲嗣; 成川, 康男; 松嵜, 昭雄
Mar. 2022
Japanese, Total pages：xii, 267p
CiNii Books：http://ci.nii.ac.jp/ncid/BC13221463
ISBN：9784320114661, CiNii Books ID：BC13221463 - 原場面に着目した数学的モデリング能力に関する研究 : フッサール現象学の方法と応用反応分析マップを援用して = Study of mathematical modelling competencies focused on gen‐bamen : using the method of 'Phänomenologie' by Husserl, E. in the middle latter period and applied response analysis mapping
松嵜, 昭雄
Sep. 2018
Japanese, Total pages：vi, 177p
CiNii Books：http://ci.nii.ac.jp/ncid/BB27040346
ISBN：9784320113435, CiNii Books ID：BB27040346 - 数学的モデリングの入門教材 : 関東編
西村, 圭一; 松嵜, 昭雄; 柳本, 哲
Dec. 2017
Japanese, Total pages：121p
CiNii Books：http://ci.nii.ac.jp/ncid/BB26713099
CiNii Books ID：BB26713099 - 中学校数学科つまずき指導事典
礒田, 正美; 小原, 豊; 宮川, 健; 松嵜, 昭雄
Feb. 2014
Japanese, Total pages：141p
CiNii Books：http://ci.nii.ac.jp/ncid/BB14721329
ISBN：9784181151171, CiNii Books ID：BB14721329 - 開発途上国で手に入る素材を活かすハンズオン教材の作り方. 服部勝憲・松嵜昭雄[編著]
2009 - Section 3.2: A Teaching Experiment in Mathematical Modelling. In Haines, C., Galbraith, P., Blum, W. and Khan, S. (eds.), Mathematical Modelling (ICTMA12) :Education, Engineering and Economics (IKEDA Toshikazu, Max Stephens, and MATSUZAKI Akio; pp.101－・・・
2007
Section 3.2: A Teaching Experiment in Mathematical Modelling. In Haines, C., Galbraith, P., Blum, W. and Khan, S. (eds.), Mathematical Modelling (ICTMA12) :Education, Engineering and Economics (IKEDA Toshikazu, Max Stephens, and MATSUZAKI Akio; pp.101－109).
ISBN：1904275206 - 第2章：機構に関するWebサイトを活用したレゴによる直線運動と円運動の変換の再現. 岸本忠之 [編著] . 数学科・デジタルテクノロジーで広がる学習環境の創造－付録CD-ROM「Web型数学史科学館」－ (pp.21-35).
2007
ISBN：4185636156 - Chap3.5.5. How might We Share Models through Cooperative Mathematical Modelling?: Focus on Situations Based on Individual Experiences. In Blum, W., Galbraith, P., Hans-Wolfgang, H., and Niss, M. (eds.), Modelling and Applications in Mathematics Educati・・・
2006
Chap3.5.5. How might We Share Models through Cooperative Mathematical Modelling?: Focus on Situations Based on Individual Experiences. In Blum, W., Galbraith, P., Hans-Wolfgang, H., and Niss, M. (eds.), Modelling and Applications in Mathematics Education: The 14th ICMI Study (pp. 357-364).
ISBN：0387298207
- Is it possible to tune using scientific calculator? Through the modelling workshop based on Pythagorean tuning
Tanazawa, H; Matsuzaki, A
The 20th International Conference on the Teaching of Mathematical Modelling and Applications, Sep. 2022, The International Community of Teachers of Mathematical Modelling and Applications, [International conference]
Sep. 2022 - Sep. 2022, English, Oral presentation, Würzburg (Online), Germany - How Kinect’s motion capture function functions for modelling? Focus on modifying real models through dance
Matsui, Y; Matsuzaki, A
The 20th International Conference on the Teaching of Mathematical Modelling and Applications, Sep. 2022, The International Community of Teachers of Mathematical Modelling and Applications, [International conference]
Sep. 2022 - Sep. 2022, English, Oral presentation, Würzburg (Online), Germany - 数学的モデリング研究の今昔－数学的モデリングの国際会議ICTMAと今後の研究への期待と展望－
松嵜昭雄
Sep. 2022, [Domestic conference]
Sep. 2022 - Sep. 2022, Japanese, Invited oral presentation, Japan - Connecting Representations in an Experimental Lesson Realized by Integration between Mathematics and Physical Education
OKAWA Takeshi; OZASA Hiro; MATSUZAKI Akio
Sep. 2013, Japan Society for Science Education (JSSE)
Sep. 2013 - Sep. 2013, Japanese - Theme Studies of Mathematical Modelling in JSSE : Studies of Mathematical Modelling on Graduate School Students and Practices on Attached School of Komaba, University of Tsukuba
MATSUZAKI Akio
Sep. 2013, Japan Society for Science Education (JSSE)
Sep. 2013 - Sep. 2013, Japanese - Theme Studies of Mathematical Modelling in JSSE : Studies of Mathematical Modelling on Graduate School Students and Practices on Attached School of Komaba, University of Tsukuba
MATSUZAKI Akio
Proceedings of the Annual Meeting of Japan Society for Science Education, Sep. 2013, Japan Society for Science Education
Sep. 2013 - Sep. 2013, Japanese
「モデリング研究は数学授業の実践で本当に活かされているか」というテーマで実施する本課題研究では,修士課程院生時代にモデリング研究に取り組んだ現職数学科教員と現在モデリング研究に取り組んでいる大学院生による交流機会を設け,モデリングの研究と実践を架橋するための視点について議論を深めていく契機としたい。本稿では,筆者が大学院在学中に取り組んだ研究と現職数学科教員として取り組んだ実践について紹介する。 - Connecting Representations in an Experimental Lesson Realized by Integration between Mathematics and Physical Education
OKAWA Takeshi; OZASA Hiro; MATSUZAKI Akio
Proceedings of the Annual Meeting of Japan Society for Science Education, Sep. 2013, Japan Society for Science Education
Sep. 2013 - Sep. 2013, Japanese
本研究の目的は,数学科と体育科の総合を意図した授業を提案することである。現行学習指導要領より,体育科ではダンスの領域が必修化された。ダンスでは,身体の動き及び表現に主眼が置かれており,今回は特に創作ダンスに着目した。方法は,モーション・キャプチャ機能を有するICTを用いた授業を計画し実践する。ICTとして,Microsoft社のKinectを用いる。 - 1G1-J4 An experimental lesson relating unconfirmed phenomena with graphs
IDE Shizuka; MATSUZAKI Akio
Aug. 2012, Japan Society for Science Education (JSSE)
Aug. 2012 - Aug. 2012, Japanese - 1A2-D3 Model sharing at mathematical modelling lessons in middle school : Focus on processes of problem posing from the task of real situation
KANEKO Masafumi; MATSUZAKI Akio
Proceedings of the Annual Meeting of Japan Society for Science Education, Aug. 2012, Japan Society for Science Education
Aug. 2012 - Aug. 2012, Japanese
研究目的は,現実世界の課題場面からの問題設定過程に焦点をあてて,モデルの共有の実際を捉えることである。そこで,皆が共有できる,独りよがりにならないモデル創出を目的とした一斉の実験授業を計画,実践した。また,小学校における実践事例(川上・松嵜2012)とほぼ同じ課題場面を取り上げ,小学生と中学生のモデルの共有の異同についても議論した。その結果,モデル創出傾向の差異と,モデルの共有を意識する上での共通点を見出すことができた。 - 1G1-J4 An experimental lesson relating unconfirmed phenomena with graphs
IDE Shizuka; MATSUZAKI Akio
Proceedings of the Annual Meeting of Japan Society for Science Education, Aug. 2012, Japan Society for Science Education
Aug. 2012 - Aug. 2012, Japanese
本稿の目的は,測定の都合上,目視できない事象をデータ・グラフと関連づけて読み取った結果について報告することである。方法は,レゴとマルチプルリプレゼンテーション機能を有したハンドヘルド・テクノロジーを用いて,大学生を対象とした実験授業を計画,実践し,授業後に,グラフから事象及び事象からグラフを読み取る確認テストを実施した。確認テストを数学的視点及び力学的視点から分類した結果,誤った数学的視点及びどちらにも分類されない視点が存在した。 - オーストラリアにおけるモデリングの1つの取り組み-「数学的モデリング・チャレンジ」を視察して-
松嵜昭雄
2012
2012 - 2012 - 数学的判断力の育成に関する研究-プロセス能力の水準化とその実際-
西村 圭一; 山口 武志; 久保 良宏; 青山 和裕; 松嵜 昭雄
2012
2012 - 2012 - Grappling with Mathematics Lesson Study in Republic of Palau: Facts of Mathematics Lesson Study on Koror Elementary School
MATSUZAKI Akio
JSSE Research Report, 2012, Japan Society for Science Education
2012 - 2012, Japanese
本稿では,パラオ共和国における数学授業研究の取組について報告する。青年海外協力隊の方々が活動している小学校の 1 つである,コロール小学校における数学授業研究の実際について報告する。パラオ教育省では,全教科にわたり,授業研究を推進しており,「指導案」「教室指導観察ツール」「授業研究リフレクション」といった各種様式が準備されており,授業研究の形式は周知されている。今後,日本型授業研究を範とするボトムアップ型アプローチによる授業研究の推進が期待される。 - 数学的モデリングに関する自主企画課題研究のこれまでとこれから
松嵜昭雄
2009
2009 - 2009 - 教師の授業実践に関する意図の分析
廣瀨隆司; 齋藤昇; 松嵜昭雄; 藤原伸彦; 石内久次; 長谷川勝久; 坂井武司
2009
2009 - 2009 - 開発途上国に対する図画工作・美術教育の一提案－パラオ共和国アイライ小学校での授業実践例－
森本美鶴; 松嵜昭雄
2009
2009 - 2009 - Visualizing Processing in Modelling & Supporting that Processing: The Case of Electronic Problems Solving by Electronics Expert
2009 - サイエンスコミュニケータを高校生が担う可能性について－For Excellenceの視点と才能のある生徒による取り組み－
2009 - 「三角形の合同条件」の探求に関する授業実験
小原豊; 松嵜昭雄
2008
2008 - 2008 - サイエンスコミュニケータを担う高校生の意識調査に関する一考察－小学生対象のレゴ・ワークショップを通じて－
2008 - A Study of Verification of Mathematical Modelling Activities: Through Description of Mathematisation & Mathematical Work Process when Focousing on the Original Situations
Proceeding of 37th Research Meeting of Japan Society of Mathematics Education, 2004
2004 - 2004 - 数学的モデリング能力の検証(2) －原場面に注目した数学化能力と数学的作業能力－
松嵜昭雄
2004
2004 - 2004, Japanese - 数学的モデリング能力の研究動向 －14th ICMI Studyの研究論文のレヴューを中心に－
松嵜昭雄
2004
2004 - 2004 - 'Rub' and 'Stray' of Mathematical Modelling
MATSUZAKI Akio
Applications and Modelling in Mathematics Education : Pre-Conference Volume, 2004
2004 - 2004 - A Study of Verification of Mathematical Modelling Activities : Through description of Idealization process when focousing on the Original Situations.
Proceeding of 36th Research Meeting of Japan Society of Mathematics Education, 2003
2003 - 2003 - 数学的モデリング能力の検証－原場面に注目したモデル化能力の記述－
松嵜昭雄
2003
2003 - 2003, Japanese - A Study of Noesis of the Original Situations in Mathematical Modelling : A Case Study of Graduate Student who interested in Mathematics Education or Science Education
Proceedings of 35th Research Meeting of Japan Society of Mathematics Education, 2002
2002 - 2002 - 数学的モデリングにおける原場面の作用に関する一考察 －数学教育学・理科教育学に関心をもつ大学院生を調査対象として－
松嵜昭雄
2002
2002 - 2002 - 数学的モデリングを軸とする数学科と他教科の総合 －数学と華道の総合を事例として－
松嵜昭雄; 長野東
2002
2002 - 2002 - Analysis of Projected Figures in the Process of Re-creating a Work of Art in KADO : Through the Assessment of Mathematical Modelling.
MATSUZAKI Akio; MATSUZAKI Mayumi
2001
2001 - 2001 - 数学的モデリングにおける原場面の役割に関する一考察－「リレー問題」の事例分析を通じて－
松嵜昭雄
2001
2001 - 2001 - 原場面を視点とする数学的モデリング能力の特定と調査 －課題分析マップによる変数問の関係の記述を通して－
松嵜昭雄; 北島茂樹
2001
2001 - 2001, Japanese - Specific and Research of Mathematical Modelling Ability from a View Point of the Original Situations : Through the discription the relationship between valiables by the method of Task Analysis Mapping
Proceedings of 34th Research Meeting of Japan Society of Mathematical Education, 2001
2001 - 2001 - Analysis of Projected Figures in the Process of Re-creating a Work of Art in KADO : Through the Assessment of Mathematical Modelling.
Proceedings of Mathematics & Design 2001, 2001
2001 - 2001 - 数学的モデリングを遂行する際の必要条件に関する一考察－原場面への着目と変数による問題の分類を通じて－
松嵜昭雄
2000
2000 - 2000, Japanese - A Study of Necessary Condition of Carrying Out Mathematical Modelling : Focus on Original Situation and Classification of Variables in Problem
Proceedings of 33rd Research Meeting of Japan Society of Mathematical Education, 2000
2000 - 2000 - A Class Practice Intended to Accomplish the Integration of Mathematics and Flower Arrangement (KADO): Focus on Modeling on the Process of Re-creating a Work of Art
2000 - Mathematical modeling in the inquiry of linkages using LEGO and graphic calculator. Does new technology alternate old technology?
M Isoda; A Matsuzaki
PROCEEDINGS OF THE FOURTH ASIAN TECHNOLOGY CONFERENCE IN MATHEMATICS, 1999, ATCM, INC
1999 - 1999, English
This study discussed the roles of old technology and new technology in the teaching of mathematical modeling. In this paper, a crank mechanism made of LEGO was used for teaching mathematical modeling. This paper, as the third phase of the research (Isoda, Matuzaki, Nakajima, 1998), discussed the changing roles of LEGO and a Graphic Calculator if we added the activity of making linkage (Matuzaki; 1999). From the case study, this paper distinguished the four cognitive phases through mathematical modeling: reasoning with the visual image in real world, reasoning with the mechanical structure, reasoning with the mathematical model without the mechanical structure and reasoning with the mathematical model and the mechanical structure. With comparing our results with Rose Mary Zbiek's research (1998) which discussed the role of new technology in formulation of the model, this research discussed following: the real world activity should be distinguished before and after knowing the mechanical structure, and the mathematical activity with the model should be distinguished before and after synchronizing the parameters of the model and the parts of the mechanics. In this paper, graphic calculator as a piece of new technology helped mathematical works in the process of the mathematical modeling and LEGO as a piece of old technology helped the activity in real world. The synchronization of the model with the mechanics was supported by both technologies. - 初等メカトロニクス教具による数学科と他教科の総合についての一考察 －レゴによる機構の探究学習を事例にして－
松嵜昭雄; 礒田正美
1999
1999 - 1999 - Mathematical Modeling in the Inquiry of Linkages Using LEGO and Graphic Calculator : Does Now Technology Alternate Old Technology?
Proceedings of the Fourth Asian Technology Conference in Mathematics, 1999
1999 - 1999 - A Research for the Integration Between Mathematics and Other Subjects Using Mechatronics : A Inquiry of the Piston Crank Mechanism with LEGO
Proceedings of the 23rd Annual Meeting Japan Society for Science Education, 1999
1999 - 1999 - How Can We Change Students' Understanding to Connect Real World with Mathematics thorough Mathematical Modelling : Using Crank Mechanism as a Representation of a Function
Journal of Japan Society of Mathematical Education, 1999
1999 - 1999 - Mathematics Inquiry Enhanced by Harmonized Approach via Technology, A crank mechanism represented by LEGO and graphing tools
ISODA M.
Proceedings of the ICMI-EARCME, 1998, 1998
1998 - 1998 - An Approach for Integrate Curriculum Including Mathematics : Modelling for Mathematization of Real World and Relations to the Other Subjects
Proceedings of the First International Commission on Mathematical Instruction-East Asian Regional Conference on Mathematics Education, 1998
1998 - 1998 - Mathematics Inquiry Enhanced by Harmonized Approach via Technology : A crank mechanism represented by LEGO and graphing tools
Proceedings of the First International Commission on Mathematical Instruction-East Asian Regional Conference on Mathematics Education, 1998
1998 - 1998 - An Approach for Integrated Curriculum Including Mathematics: Modelling for Mathematization of Real World and Relations to the Other Subjects
1998
Poster presentation - クランク機構における関数の探究－LEGO dactaとグラフ電卓を用いた新しい授業展開－
1997
- アフガニスタン国教師教育強化プロジェクト・フェーズ2(STEP2)短期専門家(「数学教授法」担当)
2009 - 文部科学省「国際協力イニシアティブ」教育協力拠点形成事業「日本国内での実践知を反映したハンズオン素材の集約」活動実施者
2008
- ICT利用を前提とした学校数学と教員養成・研修の数学教育内容の再構築に関する研究
01 Apr. 2022 - 31 Mar. 2025
Grant amount(Total)：4160000, Direct funding：3200000, Indirect funding：960000
Grant number：22K02530 - 社会的実践を志向する学習領域「数理科学」の構築に関する総合的研究
01 Apr. 2020 - 31 Mar. 2024
Grant amount(Total)：17030000, Direct funding：13100000, Indirect funding：3930000
Grant number：20H01739 - An international-collaborated study on the methodology for international comparison of lesson study
Japan Society for the Promotion of Science, Grants-in-Aid for Scientific Research Grant-in-Aid for Scientific Research (C), Grant-in-Aid for Scientific Research (C), 01 Apr. 2020 - 31 Mar. 2024
Naruto University of Education
Grant amount(Total)：4290000, Direct funding：3300000, Indirect funding：990000
Grant number：20K02859 - International Collaboration for the Standardisation of Curriculum on Computational Thinking
Japan Society for the Promotion of Science, Grants-in-Aid for Scientific Research Grant-in-Aid for Challenging Research (Exploratory), Grant-in-Aid for Challenging Research (Exploratory), 28 Jun. 2019 - 31 Mar. 2022
University of Tsukuba
Grant amount(Total)：6240000, Direct funding：4800000, Indirect funding：1440000
Grant number：19K21743 - International Collaborative Research on the Standardisation of Terminology for Mathematical Education
Japan Society for the Promotion of Science, Grants-in-Aid for Scientific Research Grant-in-Aid for Scientific Research (B), Grant-in-Aid for Scientific Research (B), 01 Apr. 2019 - 31 Mar. 2022
University of Tsukuba
Grant amount(Total)：15340000, Direct funding：11800000, Indirect funding：3540000
Grant number：19H01662 - An Empirical Study on Leader Developmental Teacher Education Integrating Theory and Practice in Mathematical Modelling
Japan Society for the Promotion of Science, Grants-in-Aid for Scientific Research, Grant-in-Aid for Scientific Research (C), 01 Apr. 2017 - 31 Mar. 2022
SAEKI Akihiko, Naruto University of Education
Grant amount(Total)：4680000, Direct funding：3600000, Indirect funding：1080000
In this study, we have developed and implemented in 2019 a teacher education program for mathematical modelling for in-service and pre-service teachers that incorporates the transformation of a formulated mathematical task in textbooks into mathematical modelling tasks, and research lesson based on these tasks. A detailed analysis of the data from the implemented program revealed that teacher education program method was effective in the following ways. It enables novice modelling teachers to: (1) understand the characteristics of each criterion of the modelling task, through activities that transform familiar textbook mathematised tasks into modelling tasks, and (2) develop and implement modelling lessons incorporating examples from students' realities, through lesson study during discussions with teachers from different backgrounds and researchers.
Grant number：17K00975 - An empirical study of functions of Gen-Bamen in mathematical modelling by mathematicians
Japan Society for the Promotion of Science, Grants-in-Aid for Scientific Research Grant-in-Aid for Early-Career Scientists, Grant-in-Aid for Early-Career Scientists, Apr. 2018 - Mar. 2022
Matsuzaki Akio, Saitama University, Principal investigator
Grant amount(Total)：3120000, Direct funding：2400000, Indirect funding：720000
In this study I discuss criticality of mathematics in modelling. Focusing on 'Grundvorstellungen' it is a issue to check status of mathematical topics and/or mathematical models. In addition, it is a issue to distinguish mathematical models treated by mathematicians.
From the mathematician's mathematical modelling displayed by applied analysis mapping, it is able to see a node of a component based on mathematical experiences lead final result.
Grant number：18K13147 - Comprehensive study on construction of mathematical science education based on design science in school education
Japan Society for the Promotion of Science, Grants-in-Aid for Scientific Research Grant-in-Aid for Scientific Research (B), Grant-in-Aid for Scientific Research (B), 01 Apr. 2016 - 31 Mar. 2020
NISHIMURA Keiichi, Tokyo Gakugei University
Grant amount(Total)：17160000, Direct funding：13200000, Indirect funding：3960000
First, the "Basic Framework of Mathematical Science Education" and the "Basic Structure of Lessons" based on it were outlined, and the philosophy of Mathematical Science Education in school education was clarified. In addition, the Multi-Interdisciplinary model was presented as a curriculum composition model for mathematical science education. Second, the methods that are useful for mathematical science decision-making are organized into a framework consisting of "phase" using the method and "objectives", "activities" specific to the method. Third, I developed 12 teaching materials for elementary, junior high, and high schools and designed lessons. Lessons were held for six of them, and suggestions for teaching and learning were obtained. Fourth, we conceived a workshop for mathematics teachers in order to cultivate their view of mathematical science education.
Grant number：16H03054 - A study on making and spread of collections of mathematical modelling teaching materials in secondary education.
Japan Society for the Promotion of Science, Grants-in-Aid for Scientific Research Grant-in-Aid for Scientific Research (C), Grant-in-Aid for Scientific Research (C), 01 Apr. 2015 - 31 Mar. 2018
Yanagimoto Akira, Kyoto University of Education
Grant amount(Total)：4680000, Direct funding：3600000, Indirect funding：1080000
We made the two booklets, Kansai edition and Kanto edition, which consisted of introduction work-sheet teaching materials for general school lessons from the mathematical modeling teaching materials which we investigated and developed. Some of them were on our website. And we made 400 copies of each booklets of the work-sheets and distributed to the main education centers in Japan.
There are 30 examples, "Our dining table is dangerous by desertification", "How necessary is the contaminated water storage tank?", "How much is the premium of the bicycle accident insurance?", "How does it turn out if we make a pension a tax method?", "How long is the runway of the airport?", "To win the hampionship at bobsled", "Can you take a photograph of the whole Cinderella Castle with a smartphone?", "Let's think about a new education policy", "Let's make up a 90 degrees system advertisement", "Let's identify the operation of the robot", "Let's decide the order of the chorus contest", and so on.
Grant number：15K00916 - Research on Distance Learning Cooperative Seminar for Global Arithmetic & Mathematics Teacher Training
Japan Society for the Promotion of Science, Grants-in-Aid for Scientific Research Grant-in-Aid for Scientific Research (C), Grant-in-Aid for Scientific Research (C), 01 Apr. 2015 - 31 Mar. 2018
KAWASAKI Tetsushi, Gifu University
Grant amount(Total)：4290000, Direct funding：3300000, Indirect funding：990000
Distance Learning Cooperative Seminar corresponding to globalization of education was developed for mathematics teachers and students belonging to teacher training course. The global problem to be solved for sustainable development was regional environmental problems, according to the student survey of three countries, Japan and Germany and Brazil. Learning contents connecting to STEAM education were made Fermi tasks with approximation calculation. Activities and evaluation criteria & method to foster problem solving ability and creative thinking ability were also developed. The problem about high-function web conferencing system with cloud-type global standard was multiple audio transmission methods between Japan and Germany. Exactly this project could produce a student grew up into a global teacher and it contributed to the foundation for international student exchange. It will be necessary to redefine creative thinking ability with IoT and physiological response data in the future.
Grant number：15K01063 - International Project on Mathematics Education for Future Development under the Globalization
Japan Society for the Promotion of Science, Grants-in-Aid for Scientific Research Grant-in-Aid for Scientific Research (A), Grant-in-Aid for Scientific Research (A), 01 Apr. 2014 - 31 Mar. 2018
ISODA Masami, University of Tsukuba
Grant amount(Total)：40430000, Direct funding：31100000, Indirect funding：9330000
UN set sustainable development goals (SDGs) as new issues. ASEAN Community has formulated the 7 priority areas for education and launched education reform for the first five years. The purpose of this research is to promote the development of teaching materials that will bring up children with future-building skills. A conflicting society can be overcame by using unknown variable, the future target of manipulation of potential relationships and plausible reasoning. Mathematical and statistical methods are essential for creating future scenarios. The research engaged teaching material development related to functional future prediction based on causality and future prediction based on probable reasoning, and lesson study with each country to develop the teaching material. On the APEC meetings, the research widely influenced the results to the world.
Grant number：26245082 - The Mechanism of Aesthetic Appreciation for Mathematical Value in Mathematics Education: For Students in Elementary Schools
Japan Society for the Promotion of Science, Grants-in-Aid for Scientific Research Grant-in-Aid for Scientific Research (C), Grant-in-Aid for Scientific Research (C), 01 Apr. 2014 - 31 Mar. 2017
Hirose Takashi; FURUYA Koichi; NISHIZAWA Satomi, Shitennoji University
Grant amount(Total)：2730000, Direct funding：2100000, Indirect funding：630000
On our research, mathmatical value was definded as properties and competence for phenomena and objects fitting our desires in arithmetic and mathematics as cultural inheritance including high autonomy, and we took up aesthetic appreci-ation of beauty and ugliness.According to results of research, we found fea-tures for aesthetic appreciation of 2nd-6th grade students and developed the scale for aesthetic appreciation of students in mathematics education.We used this scale as the pretest and the posttest, gave lessons for aesthetic appreci-ation to 5th grade students, and made effects of lessons clear.And also we took
part in the staff training of the school which we gave lessons, fed back the fruit of our research to members of the staff, and put it to good use as im-rovement of lessons.
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Grant number：26381237 - Functions of Gen-Bamen in mathematical modelling through setting up problems from the situation of real world
Japan Society for the Promotion of Science, Grants-in-Aid for Scientific Research Grant-in-Aid for Young Scientists (B), Grant-in-Aid for Young Scientists (B), 01 Apr. 2014 - 31 Mar. 2017
MATSUZAKI Akio, Saitama University
Grant amount(Total)：1950000, Direct funding：1500000, Indirect funding：450000
In mathematical modelling through setting up problems from the situation of real world, there are most cases that the experiences of modeller influence for progressing of mathematical modelling. I focus on the Gen-Bamen that is/are the situation(s) which the modeller remembers based on the own experiences. I identify two functions of Gen-Bamen (a horizontal function and a reflective function) with applied 'Noesis/Noema' using the method of phenomenology by Edmund Husserl in the middle latter period. I confirm the horizontal function and the reflective one for a real mathematical modelling with referring applied response analysis mapping.
Grant number：26780492 - An empirical study about the lesson study that associated the theory and practice of mathematical modelling
Japan Society for the Promotion of Science, Grants-in-Aid for Scientific Research Grant-in-Aid for Scientific Research (C), Grant-in-Aid for Scientific Research (C), 01 Apr. 2013 - 31 Mar. 2017
SAEKI AKIHIKO; KANEKO MASAFUMI; KAWAKAMI TAKASHI; FUJIWARA DAIKI; MINENO KHOUSUKE, Naruto University of Education
Grant amount(Total)：4940000, Direct funding：3800000, Indirect funding：1140000
The purpose of this study is to conduct the lesson study that associated the theory and practice of mathematical modelling, to develop better mathematical modelling tasks, and to share those outcomes in the school field. The research team consisted of academic researchers, practice researchers, and in-service teachers. Within the research period, we carried out (1) systematization of mathematical modelling learning based on the curriculum, (2) design of lesson and development of the teaching plan to promote mathematical modelling competencies, (3) conduct of lesson studies and those evaluation, and (4)making of "Handbook of Lesson Study for Mathematical Modelling". As a result, it became clear that the purpose of this study has been achieved.
Grant number：25350204 - A Study on Fostering Mathematical Decision-making Competency through Holistic Approach
Japan Society for the Promotion of Science, Grants-in-Aid for Scientific Research Grant-in-Aid for Scientific Research (B), Grant-in-Aid for Scientific Research (B), 01 Apr. 2013 - 31 Mar. 2016
Nishimura Keiichi; AOYAMA Kazuhiro; KUBO Yoshihiro; SEINO Tatsuhiko; NAGAO Atsushi; MATSUZAKI Akio; YAMAGUCHI Takeshi; UENO Koushi; GOTO Kenichi; SUZUKI Kazuyuki; TAKAHASHI Akihiko; TSUBAKI Hiroe; MATSUBARA Kenji; AOYAMA Shoji; ATSUMI Kaori; ARAI Kenji; UEDA Daigo; OZAWA Masanao; KUGAYA Akira; GOTO Takahiro; SAKURAI Junya; SHIMADA Isao; SHIMIZU Hiroyuki; SUGAWARA Megumi; SUZUKI Haruka; SUZUKI Yu; TANAKA Noriko; TOGASHI Naoko; NAKAITSU Sora; NAGASAKI Eizo; NARITA Shinnosuke; HAMADA Kenzo; HONDA Chiharu; MATSUSHIMA Mitsuru; MIYAZAKI Fumika; MUROYA Masakatsu; MOTEGI Satoru; YAMASHITA Masayo; YOSHINARI Yuuki, Tokyo Gakugei University
Grant amount(Total)：17680000, Direct funding：13600000, Indirect funding：4080000
The objectives of this study are:(a) To propose key principles and insight on the design of teaching materials for mathematical decision-making competency which will enable students to make decisions by using mathematics in social contexts,(b) To examine the plausibility of such lessons empirically,(c) To suggest methods of training teachers to conduct these lessons.
Mathematics education has not dealt with problems that require value judgement. In this study we have proposed a maths education method which is qualitatively different from those in the past, and showed the significance and possibility of mathematics lessons based on the principles and frameworks which we have proposed.
Grant number：25282035 - The development enforcement of the mathematical modeling challenge program to bring up a scientific analysis intellectual power of the secondary school students
Japan Society for the Promotion of Science, Grants-in-Aid for Scientific Research Grant-in-Aid for Scientific Research (C), Grant-in-Aid for Scientific Research (C), 01 Apr. 2012 - 31 Mar. 2015
YANAGIMOTO AKIRA; WATANABE Nobuki; OTAKE Hiromi; FUKAO Takeshi; TANIGUCHI Kazunari; ANDO Shigeki; KAWASAKI Tetsushi; SAEKI Akihiko; IKEDA Toshikazu; MATSUZAKI Akio, Kyoto University of Education
Grant amount(Total)：5330000, Direct funding：4100000, Indirect funding：1230000
We held the program of the mathematical modeling challenge for 9th and 10th grade students in Kyoto. And we inspected the educational effect and considered problems in the enforcement of the program. The participants in this program were eight students in 2013, twenty one students in 2014, and thirty three students in 2015. They worked on a problem of the mathematical modeling in relation to the issue of bobsleigh, electric power company income and expenditure, and so on.
As a result, the students who participated realized usefulness of the mathematics again, and enjoyed to solve the real problems using mathematics. And through these programs we made the mathematical modeling teaching materials available to school mathematics teachers.
Grant number：24501050 - Academic Investigation Research for Establishing a Graduate School of Teacher Training College in Developing Country
Japan Society for the Promotion of Science, Grants-in-Aid for Scientific Research Grant-in-Aid for Scientific Research (A), Grant-in-Aid for Scientific Research (A), 01 Apr. 2011 - 31 Mar. 2015
SAITO Noboru; MATSUZAKI Akio; OHARA Yutaka; KOZAI Takeshi; AKITA Miyo; ATOBE Kozo, Rissho University
Grant amount(Total)：23140000, Direct funding：17800000, Indirect funding：5340000
(1) Ministry of Education in Laos wishes to establish a master's course of a graduate school of Teacher Training College by self-reliant efforts. However, installation of the graduate school has not been achieved because it is difficult to ensure teachers who can teach a lesson of the graduate school. (2) In order to improve the teachers' quality of Teacher Training College and to train teachers who teach the lesson of the graduate school in Laos, we founded the "International Society for Mathematics and Science Education" in cooperation with Ministry of Education in Laos in 2012. Foundation of the International Society in Laos is the first after independence. (3) We developed the academic carrier and the standard of examination of qualification of the teachers who teach the lesson of the graduate school in cooperation with Ministry of Education in Laos in 2013. (4) We created model curriculum of mathematics and science education for establishing a master's course of graduate school.
Grant number：23252013 - APEC Study on Mathematics Education for Sustainable Development
Japan Society for the Promotion of Science, Grants-in-Aid for Scientific Research Grant-in-Aid for Scientific Research (B), Grant-in-Aid for Scientific Research (B), 01 Apr. 2011 - 31 Mar. 2014
ISODA Masami; AOYAMA Kazuhiro; MATSUZAKI Akio; SHIMIZU Shizumi; OHARA Yutaka; KISHIMOTO Tadayuki, University of Tsukuba
Grant amount(Total)：18200000, Direct funding：14000000, Indirect funding：4200000
Education for sustainable development is ordered to be teach every subject. However, a few examples are only known in mathematics in Japan. In APEC, economical sustainable development is the major issue and emergency preparedness education is necessary theme for it. On these demands, this research engaged to produce the content of teaching in mathematics for sustainable development in relation to emergency preparedness education. Through applying mathematical modeling and statistical problem solving to emergency preparedness education, e-textbooks are produced. This research reads the APEC lesson study project for emergency preparedness education. The APEC project appraised by the ministers of education in the ministerial meeting in 2012 and it became the representative project from Japan for the international meeting for educational cooperation project in 2013.
Grant number：23330252 - Study on fostering the competency of making decisions by using mathematics in the social context
Japan Society for the Promotion of Science, Grants-in-Aid for Scientific Research Grant-in-Aid for Scientific Research (B), Grant-in-Aid for Scientific Research (B), 2010 - 2012
NISHIMURA Keiichi; YAMAGUCHI Takeshi; KUBO Yoshihiro; NAGAO Atsushi; NAGASAKI Eizo; SEINO Tatsuhiko; AOYAMA Kazuhiro; MATSUZAKI Akio, Tokyo Gakugei University
Grant amount(Total)：15210000, Direct funding：11700000, Indirect funding：3510000
The purpose of this study was to foster “the competency of making decisions by using mathematics” among the students in Japan. This means analyzing and interpreting a situation, and making decision based on mathematical evidence. We identified a math-based judgment process, assessed the competency of the Japanese students, and developed levels of that. In addition, we developed a lesson framework that was composed of process skills, mathematical contents, mathematical support tool of choice, social values, and interaction with other students. Also, we taught eleven lessons in several elementary, junior and senior high schools, and afterwards examined the effectiveness empirically.
Grant number：22300273 - An empirical study about the effectiveness of the teaching materials for encouraging the students' abilities of expression of connecting the change in the phenomenon with graph
Japan Society for the Promotion of Science, Grants-in-Aid for Scientific Research Grant-in-Aid for Scientific Research (C), Grant-in-Aid for Scientific Research (C), 2010 - 2012
SAEKI Akihiko; TSUCHIDA Satoshi; UJIIE Akiko; MATSUZAKI Akio; SUEHIRO Satoshi, Naruto University of Education
Grant amount(Total)：3120000, Direct funding：2400000, Indirect funding：720000
The purpose of this study is to clarify the effectiveness of the teaching materials for encouraging the students' abilities of expression of connecting the change in the phenomenon with graph. Within the research period, we developed the cooperative distance learning system for posing problems to each other about movements of walking and graphs. Furthermore, we established the valuation basis of the students' abilities of expression in their mathematical activities, and analyzed a demonstration class carried out in the junior high school. As a result of evaluating the lesson, it became clear that the research’s purpose has been achieved.
Grant number：22500812 - 数学的モデリングの評価に関する研究
1999
Competitive research funding - Study for Assessment of Mathematical Modelling
1999
Competitive research funding - 数学科と他教科の総合に関する研究
1997
Competitive research funding - Study for Integration between Mathematics and the Other Subjects
1997
Competitive research funding