Recent developments on introducing a historical dimension in mathematics education /:
Recent Developments on Introducing a Historical Dimension in Mathematics Education consists of 24 papers (coming from 13 countries worldwide). The volume aims to constitute an all-embracing outcome of recent activities within the HPM Group (International Study Group on the Relations Between History...
Gespeichert in:
| Weitere Verfasser: | , |
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
[Washington D.C.] :
Mathematical Association of America,
©2011.
|
| Schriftenreihe: | MAA notes ;
78. |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Zusammenfassung: | Recent Developments on Introducing a Historical Dimension in Mathematics Education consists of 24 papers (coming from 13 countries worldwide). The volume aims to constitute an all-embracing outcome of recent activities within the HPM Group (International Study Group on the Relations Between History and Pedagogy of Mathematics). We believe these articles will move the field forward and provide faculty with many new ideas for incorporating the history of mathematics into their teaching at various levels of education. The book is organized into four parts. The first deals with theoretical ideas for integrating the history of mathematics into mathematics education. The second part contains research studies on the use of the history of mathematics in the teaching of numerous mathematics topics at several levels of education. The third part concentrates on how history can be used with prospective and current teachers of mathematics. We also include a special fourth part containing three purely historical papers based on invited talks at the HPM meeting of 2008. Two of these articles provide an overview of the development of mathematics in the Americas, while the third is a study of the astronomical origins of trigonometry. |
| Beschreibung: | 1 online resource (xv, 273 pages) : illustrations |
| Bibliographie: | Includes bibliographical references. |
| ISBN: | 9781614443001 1614443009 |
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| 505 | 0 | 0 | |g Machine generated contents note: |g 1. |t Teaching with Primary Historical Sources: Should it Go Mainstream? Can it?, David Pengelley -- |g 1.1. |t Introduction -- |g 1.2. |t Personal Odyssey as an Illustration of Issues -- |g 1.3. |t Motivations: Why or Why Not? -- |g 1.4. |t Logistical Obstacles -- |g 1.5. |t Sample Project: Pascal on Induction and Combinatorics -- |g 1.6. |t Finale -- |t Bibliography -- |g 2. |t Dialogism in Mathematical Writing: Historical, Philosophical and Pedagogical Issues, Evelyne Barbin -- |g 2.1. |t What is Dialogism? -- |g 2.2. |t Dialogism in Mathematics: A Paradox? -- |g 2.3. |t Dialogism and Innovation in Mathematics -- |g 2.4. |t Dialogism and History of Mathematics: The Question of Addressivity -- |g 2.5. |t Dialogism and History of Mathematics: Reading Original Sources in Classroom -- |g 2.6. |t Conclusion -- |t Bibliography -- |g 3. |t Process of Mathematical Agreement: Examples from Mathematics History and an Experimental Sequence of Activities, Gustavo Martinez-Sierra and Rocio Antonio-Antonio -- |g 3.1. |t Introduction -- |g 3.2. |t Process of Mathematical Agreement -- |g 3.3. |t Fractional Exponents -- |g 3.4. |t Square Root of Negative Numbers -- |g 3.5. |t Radian and the Trigonometric Functions -- |g 3.6. |t Experimental Sequence of Activities: The Square Root of Negative Numbers -- |g 3.7. |t In Conclusion -- |t Bibliography -- |g 4. |t Researching the History of Algebraic Ideas from an Educational Point of View, Luis Puig -- |g 4.1. |t Introduction -- |g 4.2. |t Babylonian Cut and Paste Operations: A Tool for Analysis -- |g 4.3. |t Cut and Paste Operations in Al-Khwarizmi's Algebra -- |g 4.4. |t Reading of Jordanus de Nemore' De Numberis Datis -- |g 4.5. |t Didactical Comments -- |g 4.6. |t By Way of Conclusion -- |t Bibliography -- |g 5. |
| 520 | |a Recent Developments on Introducing a Historical Dimension in Mathematics Education consists of 24 papers (coming from 13 countries worldwide). The volume aims to constitute an all-embracing outcome of recent activities within the HPM Group (International Study Group on the Relations Between History and Pedagogy of Mathematics). We believe these articles will move the field forward and provide faculty with many new ideas for incorporating the history of mathematics into their teaching at various levels of education. The book is organized into four parts. The first deals with theoretical ideas for integrating the history of mathematics into mathematics education. The second part contains research studies on the use of the history of mathematics in the teaching of numerous mathematics topics at several levels of education. The third part concentrates on how history can be used with prospective and current teachers of mathematics. We also include a special fourth part containing three purely historical papers based on invited talks at the HPM meeting of 2008. Two of these articles provide an overview of the development of mathematics in the Americas, while the third is a study of the astronomical origins of trigonometry. | ||
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| contents | Teaching with Primary Historical Sources: Should it Go Mainstream? Can it?, David Pengelley -- Introduction -- Personal Odyssey as an Illustration of Issues -- Motivations: Why or Why Not? -- Logistical Obstacles -- Sample Project: Pascal on Induction and Combinatorics -- Finale -- Bibliography -- Dialogism in Mathematical Writing: Historical, Philosophical and Pedagogical Issues, Evelyne Barbin -- What is Dialogism? -- Dialogism in Mathematics: A Paradox? -- Dialogism and Innovation in Mathematics -- Dialogism and History of Mathematics: The Question of Addressivity -- Dialogism and History of Mathematics: Reading Original Sources in Classroom -- Conclusion -- Process of Mathematical Agreement: Examples from Mathematics History and an Experimental Sequence of Activities, Gustavo Martinez-Sierra and Rocio Antonio-Antonio -- Process of Mathematical Agreement -- Fractional Exponents -- Square Root of Negative Numbers -- Radian and the Trigonometric Functions -- Experimental Sequence of Activities: The Square Root of Negative Numbers -- In Conclusion -- Researching the History of Algebraic Ideas from an Educational Point of View, Luis Puig -- Babylonian Cut and Paste Operations: A Tool for Analysis -- Cut and Paste Operations in Al-Khwarizmi's Algebra -- Reading of Jordanus de Nemore' De Numberis Datis -- Didactical Comments -- By Way of Conclusion -- |
| ctrlnum | (OCoLC)796662201 |
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| discipline | Mathematik |
| format | Electronic eBook |
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| genre | History fast |
| genre_facet | History |
| id | ZDB-4-EBA-ocn796662201 |
| illustrated | Illustrated |
| indexdate | 2024-11-27T13:18:27Z |
| institution | BVB |
| isbn | 9781614443001 1614443009 |
| language | English |
| oclc_num | 796662201 |
| open_access_boolean | |
| owner | MAIN DE-863 DE-BY-FWS |
| owner_facet | MAIN DE-863 DE-BY-FWS |
| physical | 1 online resource (xv, 273 pages) : illustrations |
| psigel | ZDB-4-EBA |
| publishDate | 2011 |
| publishDateSearch | 2011 |
| publishDateSort | 2011 |
| publisher | Mathematical Association of America, |
| record_format | marc |
| series | MAA notes ; |
| series2 | MAA notes ; |
| spelling | Recent developments on introducing a historical dimension in mathematics education / edited by Victor Katz and Constantinos Tzanakis. [Washington D.C.] : Mathematical Association of America, ©2011. 1 online resource (xv, 273 pages) : illustrations text txt rdacontent computer c rdamedia online resource cr rdacarrier data file rda MAA notes ; 78 Includes bibliographical references. Online resource; title from PDF title page (University Publishing Online, viewed July 9, 2012). Machine generated contents note: 1. Teaching with Primary Historical Sources: Should it Go Mainstream? Can it?, David Pengelley -- 1.1. Introduction -- 1.2. Personal Odyssey as an Illustration of Issues -- 1.3. Motivations: Why or Why Not? -- 1.4. Logistical Obstacles -- 1.5. Sample Project: Pascal on Induction and Combinatorics -- 1.6. Finale -- Bibliography -- 2. Dialogism in Mathematical Writing: Historical, Philosophical and Pedagogical Issues, Evelyne Barbin -- 2.1. What is Dialogism? -- 2.2. Dialogism in Mathematics: A Paradox? -- 2.3. Dialogism and Innovation in Mathematics -- 2.4. Dialogism and History of Mathematics: The Question of Addressivity -- 2.5. Dialogism and History of Mathematics: Reading Original Sources in Classroom -- 2.6. Conclusion -- Bibliography -- 3. Process of Mathematical Agreement: Examples from Mathematics History and an Experimental Sequence of Activities, Gustavo Martinez-Sierra and Rocio Antonio-Antonio -- 3.1. Introduction -- 3.2. Process of Mathematical Agreement -- 3.3. Fractional Exponents -- 3.4. Square Root of Negative Numbers -- 3.5. Radian and the Trigonometric Functions -- 3.6. Experimental Sequence of Activities: The Square Root of Negative Numbers -- 3.7. In Conclusion -- Bibliography -- 4. Researching the History of Algebraic Ideas from an Educational Point of View, Luis Puig -- 4.1. Introduction -- 4.2. Babylonian Cut and Paste Operations: A Tool for Analysis -- 4.3. Cut and Paste Operations in Al-Khwarizmi's Algebra -- 4.4. Reading of Jordanus de Nemore' De Numberis Datis -- 4.5. Didactical Comments -- 4.6. By Way of Conclusion -- Bibliography -- 5. Recent Developments on Introducing a Historical Dimension in Mathematics Education consists of 24 papers (coming from 13 countries worldwide). The volume aims to constitute an all-embracing outcome of recent activities within the HPM Group (International Study Group on the Relations Between History and Pedagogy of Mathematics). We believe these articles will move the field forward and provide faculty with many new ideas for incorporating the history of mathematics into their teaching at various levels of education. The book is organized into four parts. The first deals with theoretical ideas for integrating the history of mathematics into mathematics education. The second part contains research studies on the use of the history of mathematics in the teaching of numerous mathematics topics at several levels of education. The third part concentrates on how history can be used with prospective and current teachers of mathematics. We also include a special fourth part containing three purely historical papers based on invited talks at the HPM meeting of 2008. Two of these articles provide an overview of the development of mathematics in the Americas, while the third is a study of the astronomical origins of trigonometry. Mathematics History. Mathematics Study and teaching. http://id.loc.gov/authorities/subjects/sh85082157 Mathématiques Histoire. Mathématiques Étude et enseignement. MATHEMATICS History & Philosophy. bisacsh MATHEMATICS Study & Teaching. bisacsh Mathematics fast Mathematics Study and teaching fast Mathematikunterricht gnd Mathematikgeschichte Fach gnd http://d-nb.info/gnd/4749397-5 History fast Katz, Victor J. http://id.loc.gov/authorities/names/n91000580 Tzanakis, Constantinos. has work: Recent developments on introducing a historical dimension in mathematics education (Text) https://id.oclc.org/worldcat/entity/E39PCGTkTrrvXhjWrwyF7xv8Yd https://id.oclc.org/worldcat/ontology/hasWork Print version: Recent developments on introducing a historical dimension in mathematics education. [Washington D.C.] : Mathematical Association of America, ©2011 9780883851883 (OCoLC)792898354 MAA notes ; 78. http://id.loc.gov/authorities/names/n83726904 FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=454235 Volltext |
| spellingShingle | Recent developments on introducing a historical dimension in mathematics education / MAA notes ; Teaching with Primary Historical Sources: Should it Go Mainstream? Can it?, David Pengelley -- Introduction -- Personal Odyssey as an Illustration of Issues -- Motivations: Why or Why Not? -- Logistical Obstacles -- Sample Project: Pascal on Induction and Combinatorics -- Finale -- Bibliography -- Dialogism in Mathematical Writing: Historical, Philosophical and Pedagogical Issues, Evelyne Barbin -- What is Dialogism? -- Dialogism in Mathematics: A Paradox? -- Dialogism and Innovation in Mathematics -- Dialogism and History of Mathematics: The Question of Addressivity -- Dialogism and History of Mathematics: Reading Original Sources in Classroom -- Conclusion -- Process of Mathematical Agreement: Examples from Mathematics History and an Experimental Sequence of Activities, Gustavo Martinez-Sierra and Rocio Antonio-Antonio -- Process of Mathematical Agreement -- Fractional Exponents -- Square Root of Negative Numbers -- Radian and the Trigonometric Functions -- Experimental Sequence of Activities: The Square Root of Negative Numbers -- In Conclusion -- Researching the History of Algebraic Ideas from an Educational Point of View, Luis Puig -- Babylonian Cut and Paste Operations: A Tool for Analysis -- Cut and Paste Operations in Al-Khwarizmi's Algebra -- Reading of Jordanus de Nemore' De Numberis Datis -- Didactical Comments -- By Way of Conclusion -- Mathematics History. Mathematics Study and teaching. http://id.loc.gov/authorities/subjects/sh85082157 Mathématiques Histoire. Mathématiques Étude et enseignement. MATHEMATICS History & Philosophy. bisacsh MATHEMATICS Study & Teaching. bisacsh Mathematics fast Mathematics Study and teaching fast Mathematikunterricht gnd Mathematikgeschichte Fach gnd http://d-nb.info/gnd/4749397-5 |
| subject_GND | http://id.loc.gov/authorities/subjects/sh85082157 http://d-nb.info/gnd/4749397-5 |
| title | Recent developments on introducing a historical dimension in mathematics education / |
| title_alt | Teaching with Primary Historical Sources: Should it Go Mainstream? Can it?, David Pengelley -- Introduction -- Personal Odyssey as an Illustration of Issues -- Motivations: Why or Why Not? -- Logistical Obstacles -- Sample Project: Pascal on Induction and Combinatorics -- Finale -- Bibliography -- Dialogism in Mathematical Writing: Historical, Philosophical and Pedagogical Issues, Evelyne Barbin -- What is Dialogism? -- Dialogism in Mathematics: A Paradox? -- Dialogism and Innovation in Mathematics -- Dialogism and History of Mathematics: The Question of Addressivity -- Dialogism and History of Mathematics: Reading Original Sources in Classroom -- Conclusion -- Process of Mathematical Agreement: Examples from Mathematics History and an Experimental Sequence of Activities, Gustavo Martinez-Sierra and Rocio Antonio-Antonio -- Process of Mathematical Agreement -- Fractional Exponents -- Square Root of Negative Numbers -- Radian and the Trigonometric Functions -- Experimental Sequence of Activities: The Square Root of Negative Numbers -- In Conclusion -- Researching the History of Algebraic Ideas from an Educational Point of View, Luis Puig -- Babylonian Cut and Paste Operations: A Tool for Analysis -- Cut and Paste Operations in Al-Khwarizmi's Algebra -- Reading of Jordanus de Nemore' De Numberis Datis -- Didactical Comments -- By Way of Conclusion -- |
| title_auth | Recent developments on introducing a historical dimension in mathematics education / |
| title_exact_search | Recent developments on introducing a historical dimension in mathematics education / |
| title_full | Recent developments on introducing a historical dimension in mathematics education / edited by Victor Katz and Constantinos Tzanakis. |
| title_fullStr | Recent developments on introducing a historical dimension in mathematics education / edited by Victor Katz and Constantinos Tzanakis. |
| title_full_unstemmed | Recent developments on introducing a historical dimension in mathematics education / edited by Victor Katz and Constantinos Tzanakis. |
| title_short | Recent developments on introducing a historical dimension in mathematics education / |
| title_sort | recent developments on introducing a historical dimension in mathematics education |
| topic | Mathematics History. Mathematics Study and teaching. http://id.loc.gov/authorities/subjects/sh85082157 Mathématiques Histoire. Mathématiques Étude et enseignement. MATHEMATICS History & Philosophy. bisacsh MATHEMATICS Study & Teaching. bisacsh Mathematics fast Mathematics Study and teaching fast Mathematikunterricht gnd Mathematikgeschichte Fach gnd http://d-nb.info/gnd/4749397-5 |
| topic_facet | Mathematics History. Mathematics Study and teaching. Mathématiques Histoire. Mathématiques Étude et enseignement. MATHEMATICS History & Philosophy. MATHEMATICS Study & Teaching. Mathematics Mathematics Study and teaching Mathematikunterricht Mathematikgeschichte Fach History |
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