The Nature and origins of mathematical skills:
Gespeichert in:
| Format: | Elektronisch E-Book |
|---|---|
| Sprache: | English |
| Veröffentlicht: |
Amsterdam
North-Holland
1992
|
| Schriftenreihe: | Advances in psychology (Amsterdam, Netherlands)
91 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | Includes bibliographical references and indexes A broad range of current experimental research on numerical cognition and the acquisition of mathematical skills is covered in this volume. The individual chapters provide in-depth analysis of specific issues, methodologies, phenomena, and theory. The book is divided into two parts. In the first part the focus is on the acquisition and development of numerical skills. Part 2 of the book contains research on the information-processing basis of numerical skills, focusing on the mechanisms of perception, attention, and memory that support number skills. The range of theoretical and methodological orientations represented in the volume captures both the diversity and coherence of contemporary research into mathematical skills. The research of educational psychologists, cognitive psychologists, and cognitive neuropsychologists mutually informs and reinforces theoretical developments within each area. The multidisciplinary interest in mathematics skills reflects the pervasiveness and importance of mathematics in education, technology, and science, and also indicates that questions about mathematical competence address important issues in diverse areas of psychology and cognitive science |
| Beschreibung: | 1 Online-Ressource (x, 569 p.) |
| ISBN: | 9780080867458 0080867456 0444890149 9780444890146 |
Internformat
MARC
| LEADER | 00000nmm a2200000zcb4500 | ||
|---|---|---|---|
| 001 | BV042312769 | ||
| 003 | DE-604 | ||
| 005 | 00000000000000.0 | ||
| 007 | cr|uuu---uuuuu | ||
| 008 | 150129s1992 |||| o||u| ||||||eng d | ||
| 020 | |a 9780080867458 |c electronic bk. |9 978-0-08-086745-8 | ||
| 020 | |a 0080867456 |c electronic bk. |9 0-08-086745-6 | ||
| 020 | |a 0444890149 |9 0-444-89014-9 | ||
| 020 | |a 9780444890146 |9 978-0-444-89014-6 | ||
| 035 | |a (OCoLC)305605282 | ||
| 035 | |a (DE-599)BVBBV042312769 | ||
| 040 | |a DE-604 |b ger |e aacr | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-1046 | ||
| 082 | 0 | |a 510.1/9 |2 22 | |
| 245 | 1 | 0 | |a The Nature and origins of mathematical skills |c edited by Jamie I.D. Campbell |
| 264 | 1 | |a Amsterdam |b North-Holland |c 1992 | |
| 300 | |a 1 Online-Ressource (x, 569 p.) | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b c |2 rdamedia | ||
| 338 | |b cr |2 rdacarrier | ||
| 490 | 0 | |a Advances in psychology (Amsterdam, Netherlands) |v 91 | |
| 500 | |a Includes bibliographical references and indexes | ||
| 500 | |a A broad range of current experimental research on numerical cognition and the acquisition of mathematical skills is covered in this volume. The individual chapters provide in-depth analysis of specific issues, methodologies, phenomena, and theory. The book is divided into two parts. In the first part the focus is on the acquisition and development of numerical skills. Part 2 of the book contains research on the information-processing basis of numerical skills, focusing on the mechanisms of perception, attention, and memory that support number skills. The range of theoretical and methodological orientations represented in the volume captures both the diversity and coherence of contemporary research into mathematical skills. The research of educational psychologists, cognitive psychologists, and cognitive neuropsychologists mutually informs and reinforces theoretical developments within each area. The multidisciplinary interest in mathematics skills reflects the pervasiveness and importance of mathematics in education, technology, and science, and also indicates that questions about mathematical competence address important issues in diverse areas of psychology and cognitive science | ||
| 650 | 4 | |a Mathematics / Ability | |
| 650 | 4 | |a Mathematics | |
| 650 | 7 | |a MATHEMATICS / History & Philosophy |2 bisacsh | |
| 650 | 7 | |a Getalbegrip |2 gtt | |
| 650 | 7 | |a Cognitieve vaardigheden |2 gtt | |
| 650 | 7 | |a Wiskunde |2 gtt | |
| 650 | 7 | |a Mathematical ability |2 fast | |
| 650 | 4 | |a Mathematik | |
| 650 | 4 | |a Mathematical ability | |
| 650 | 0 | 7 | |a Kognitiver Prozess |0 (DE-588)4140177-3 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Fertigkeit |0 (DE-588)4016895-5 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Mathematische Begabung |0 (DE-588)4169099-0 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Psychologie |0 (DE-588)4047704-6 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Mathematik |0 (DE-588)4037944-9 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Fähigkeit |0 (DE-588)4153521-2 |2 gnd |9 rswk-swf |
| 655 | 7 | |8 1\p |0 (DE-588)4143413-4 |a Aufsatzsammlung |2 gnd-content | |
| 689 | 0 | 0 | |a Mathematik |0 (DE-588)4037944-9 |D s |
| 689 | 0 | 1 | |a Fertigkeit |0 (DE-588)4016895-5 |D s |
| 689 | 0 | 2 | |a Kognitiver Prozess |0 (DE-588)4140177-3 |D s |
| 689 | 0 | |8 2\p |5 DE-604 | |
| 689 | 1 | 0 | |a Mathematik |0 (DE-588)4037944-9 |D s |
| 689 | 1 | 1 | |a Fähigkeit |0 (DE-588)4153521-2 |D s |
| 689 | 1 | |8 3\p |5 DE-604 | |
| 689 | 2 | 0 | |a Mathematische Begabung |0 (DE-588)4169099-0 |D s |
| 689 | 2 | 1 | |a Psychologie |0 (DE-588)4047704-6 |D s |
| 689 | 2 | |8 4\p |5 DE-604 | |
| 700 | 1 | |a Campbell, Jamie I. D. |e Sonstige |4 oth | |
| 856 | 4 | 0 | |u http://www.sciencedirect.com/science/book/9780444890146 |x Verlag |3 Volltext |
| 912 | |a ZDB-33-ESD |a ZDB-33-EBS | ||
| 940 | 1 | |q FAW_PDA_ESD | |
| 940 | 1 | |q FLA_PDA_ESD | |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-027749760 | ||
| 883 | 1 | |8 1\p |a cgwrk |d 20201028 |q DE-101 |u https://d-nb.info/provenance/plan#cgwrk | |
| 883 | 1 | |8 2\p |a cgwrk |d 20201028 |q DE-101 |u https://d-nb.info/provenance/plan#cgwrk | |
| 883 | 1 | |8 3\p |a cgwrk |d 20201028 |q DE-101 |u https://d-nb.info/provenance/plan#cgwrk | |
| 883 | 1 | |8 4\p |a cgwrk |d 20201028 |q DE-101 |u https://d-nb.info/provenance/plan#cgwrk | |
Datensatz im Suchindex
| _version_ | 1804152904097988608 |
|---|---|
| any_adam_object | |
| building | Verbundindex |
| bvnumber | BV042312769 |
| collection | ZDB-33-ESD ZDB-33-EBS |
| ctrlnum | (OCoLC)305605282 (DE-599)BVBBV042312769 |
| dewey-full | 510.1/9 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 510 - Mathematics |
| dewey-raw | 510.1/9 |
| dewey-search | 510.1/9 |
| dewey-sort | 3510.1 19 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Electronic eBook |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>04080nmm a2200745zcb4500</leader><controlfield tag="001">BV042312769</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">00000000000000.0</controlfield><controlfield tag="007">cr|uuu---uuuuu</controlfield><controlfield tag="008">150129s1992 |||| o||u| ||||||eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9780080867458</subfield><subfield code="c">electronic bk.</subfield><subfield code="9">978-0-08-086745-8</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">0080867456</subfield><subfield code="c">electronic bk.</subfield><subfield code="9">0-08-086745-6</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">0444890149</subfield><subfield code="9">0-444-89014-9</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9780444890146</subfield><subfield code="9">978-0-444-89014-6</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)305605282</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV042312769</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">aacr</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-1046</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">510.1/9</subfield><subfield code="2">22</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">The Nature and origins of mathematical skills</subfield><subfield code="c">edited by Jamie I.D. Campbell</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Amsterdam</subfield><subfield code="b">North-Holland</subfield><subfield code="c">1992</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">1 Online-Ressource (x, 569 p.)</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="b">c</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">cr</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="490" ind1="0" ind2=" "><subfield code="a">Advances in psychology (Amsterdam, Netherlands)</subfield><subfield code="v">91</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">Includes bibliographical references and indexes</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">A broad range of current experimental research on numerical cognition and the acquisition of mathematical skills is covered in this volume. The individual chapters provide in-depth analysis of specific issues, methodologies, phenomena, and theory. The book is divided into two parts. In the first part the focus is on the acquisition and development of numerical skills. Part 2 of the book contains research on the information-processing basis of numerical skills, focusing on the mechanisms of perception, attention, and memory that support number skills. The range of theoretical and methodological orientations represented in the volume captures both the diversity and coherence of contemporary research into mathematical skills. The research of educational psychologists, cognitive psychologists, and cognitive neuropsychologists mutually informs and reinforces theoretical developments within each area. The multidisciplinary interest in mathematics skills reflects the pervasiveness and importance of mathematics in education, technology, and science, and also indicates that questions about mathematical competence address important issues in diverse areas of psychology and cognitive science</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Mathematics / Ability</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Mathematics</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">MATHEMATICS / History & Philosophy</subfield><subfield code="2">bisacsh</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Getalbegrip</subfield><subfield code="2">gtt</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Cognitieve vaardigheden</subfield><subfield code="2">gtt</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Wiskunde</subfield><subfield code="2">gtt</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Mathematical ability</subfield><subfield code="2">fast</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Mathematik</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Mathematical ability</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Kognitiver Prozess</subfield><subfield code="0">(DE-588)4140177-3</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Fertigkeit</subfield><subfield code="0">(DE-588)4016895-5</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Mathematische Begabung</subfield><subfield code="0">(DE-588)4169099-0</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Psychologie</subfield><subfield code="0">(DE-588)4047704-6</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Mathematik</subfield><subfield code="0">(DE-588)4037944-9</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Fähigkeit</subfield><subfield code="0">(DE-588)4153521-2</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="655" ind1=" " ind2="7"><subfield code="8">1\p</subfield><subfield code="0">(DE-588)4143413-4</subfield><subfield code="a">Aufsatzsammlung</subfield><subfield code="2">gnd-content</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Mathematik</subfield><subfield code="0">(DE-588)4037944-9</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="1"><subfield code="a">Fertigkeit</subfield><subfield code="0">(DE-588)4016895-5</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="2"><subfield code="a">Kognitiver Prozess</subfield><subfield code="0">(DE-588)4140177-3</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="8">2\p</subfield><subfield code="5">DE-604</subfield></datafield><datafield tag="689" ind1="1" ind2="0"><subfield code="a">Mathematik</subfield><subfield code="0">(DE-588)4037944-9</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="1" ind2="1"><subfield code="a">Fähigkeit</subfield><subfield code="0">(DE-588)4153521-2</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="1" ind2=" "><subfield code="8">3\p</subfield><subfield code="5">DE-604</subfield></datafield><datafield tag="689" ind1="2" ind2="0"><subfield code="a">Mathematische Begabung</subfield><subfield code="0">(DE-588)4169099-0</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="2" ind2="1"><subfield code="a">Psychologie</subfield><subfield code="0">(DE-588)4047704-6</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="2" ind2=" "><subfield code="8">4\p</subfield><subfield code="5">DE-604</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Campbell, Jamie I. D.</subfield><subfield code="e">Sonstige</subfield><subfield code="4">oth</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="u">http://www.sciencedirect.com/science/book/9780444890146</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">ZDB-33-ESD</subfield><subfield code="a">ZDB-33-EBS</subfield></datafield><datafield tag="940" ind1="1" ind2=" "><subfield code="q">FAW_PDA_ESD</subfield></datafield><datafield tag="940" ind1="1" ind2=" "><subfield code="q">FLA_PDA_ESD</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-027749760</subfield></datafield><datafield tag="883" ind1="1" ind2=" "><subfield code="8">1\p</subfield><subfield code="a">cgwrk</subfield><subfield code="d">20201028</subfield><subfield code="q">DE-101</subfield><subfield code="u">https://d-nb.info/provenance/plan#cgwrk</subfield></datafield><datafield tag="883" ind1="1" ind2=" "><subfield code="8">2\p</subfield><subfield code="a">cgwrk</subfield><subfield code="d">20201028</subfield><subfield code="q">DE-101</subfield><subfield code="u">https://d-nb.info/provenance/plan#cgwrk</subfield></datafield><datafield tag="883" ind1="1" ind2=" "><subfield code="8">3\p</subfield><subfield code="a">cgwrk</subfield><subfield code="d">20201028</subfield><subfield code="q">DE-101</subfield><subfield code="u">https://d-nb.info/provenance/plan#cgwrk</subfield></datafield><datafield tag="883" ind1="1" ind2=" "><subfield code="8">4\p</subfield><subfield code="a">cgwrk</subfield><subfield code="d">20201028</subfield><subfield code="q">DE-101</subfield><subfield code="u">https://d-nb.info/provenance/plan#cgwrk</subfield></datafield></record></collection> |
| genre | 1\p (DE-588)4143413-4 Aufsatzsammlung gnd-content |
| genre_facet | Aufsatzsammlung |
| id | DE-604.BV042312769 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:18:07Z |
| institution | BVB |
| isbn | 9780080867458 0080867456 0444890149 9780444890146 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-027749760 |
| oclc_num | 305605282 |
| open_access_boolean | |
| owner | DE-1046 |
| owner_facet | DE-1046 |
| physical | 1 Online-Ressource (x, 569 p.) |
| psigel | ZDB-33-ESD ZDB-33-EBS FAW_PDA_ESD FLA_PDA_ESD |
| publishDate | 1992 |
| publishDateSearch | 1992 |
| publishDateSort | 1992 |
| publisher | North-Holland |
| record_format | marc |
| series2 | Advances in psychology (Amsterdam, Netherlands) |
| spelling | The Nature and origins of mathematical skills edited by Jamie I.D. Campbell Amsterdam North-Holland 1992 1 Online-Ressource (x, 569 p.) txt rdacontent c rdamedia cr rdacarrier Advances in psychology (Amsterdam, Netherlands) 91 Includes bibliographical references and indexes A broad range of current experimental research on numerical cognition and the acquisition of mathematical skills is covered in this volume. The individual chapters provide in-depth analysis of specific issues, methodologies, phenomena, and theory. The book is divided into two parts. In the first part the focus is on the acquisition and development of numerical skills. Part 2 of the book contains research on the information-processing basis of numerical skills, focusing on the mechanisms of perception, attention, and memory that support number skills. The range of theoretical and methodological orientations represented in the volume captures both the diversity and coherence of contemporary research into mathematical skills. The research of educational psychologists, cognitive psychologists, and cognitive neuropsychologists mutually informs and reinforces theoretical developments within each area. The multidisciplinary interest in mathematics skills reflects the pervasiveness and importance of mathematics in education, technology, and science, and also indicates that questions about mathematical competence address important issues in diverse areas of psychology and cognitive science Mathematics / Ability Mathematics MATHEMATICS / History & Philosophy bisacsh Getalbegrip gtt Cognitieve vaardigheden gtt Wiskunde gtt Mathematical ability fast Mathematik Mathematical ability Kognitiver Prozess (DE-588)4140177-3 gnd rswk-swf Fertigkeit (DE-588)4016895-5 gnd rswk-swf Mathematische Begabung (DE-588)4169099-0 gnd rswk-swf Psychologie (DE-588)4047704-6 gnd rswk-swf Mathematik (DE-588)4037944-9 gnd rswk-swf Fähigkeit (DE-588)4153521-2 gnd rswk-swf 1\p (DE-588)4143413-4 Aufsatzsammlung gnd-content Mathematik (DE-588)4037944-9 s Fertigkeit (DE-588)4016895-5 s Kognitiver Prozess (DE-588)4140177-3 s 2\p DE-604 Fähigkeit (DE-588)4153521-2 s 3\p DE-604 Mathematische Begabung (DE-588)4169099-0 s Psychologie (DE-588)4047704-6 s 4\p DE-604 Campbell, Jamie I. D. Sonstige oth http://www.sciencedirect.com/science/book/9780444890146 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 3\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 4\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | The Nature and origins of mathematical skills Mathematics / Ability Mathematics MATHEMATICS / History & Philosophy bisacsh Getalbegrip gtt Cognitieve vaardigheden gtt Wiskunde gtt Mathematical ability fast Mathematik Mathematical ability Kognitiver Prozess (DE-588)4140177-3 gnd Fertigkeit (DE-588)4016895-5 gnd Mathematische Begabung (DE-588)4169099-0 gnd Psychologie (DE-588)4047704-6 gnd Mathematik (DE-588)4037944-9 gnd Fähigkeit (DE-588)4153521-2 gnd |
| subject_GND | (DE-588)4140177-3 (DE-588)4016895-5 (DE-588)4169099-0 (DE-588)4047704-6 (DE-588)4037944-9 (DE-588)4153521-2 (DE-588)4143413-4 |
| title | The Nature and origins of mathematical skills |
| title_auth | The Nature and origins of mathematical skills |
| title_exact_search | The Nature and origins of mathematical skills |
| title_full | The Nature and origins of mathematical skills edited by Jamie I.D. Campbell |
| title_fullStr | The Nature and origins of mathematical skills edited by Jamie I.D. Campbell |
| title_full_unstemmed | The Nature and origins of mathematical skills edited by Jamie I.D. Campbell |
| title_short | The Nature and origins of mathematical skills |
| title_sort | the nature and origins of mathematical skills |
| topic | Mathematics / Ability Mathematics MATHEMATICS / History & Philosophy bisacsh Getalbegrip gtt Cognitieve vaardigheden gtt Wiskunde gtt Mathematical ability fast Mathematik Mathematical ability Kognitiver Prozess (DE-588)4140177-3 gnd Fertigkeit (DE-588)4016895-5 gnd Mathematische Begabung (DE-588)4169099-0 gnd Psychologie (DE-588)4047704-6 gnd Mathematik (DE-588)4037944-9 gnd Fähigkeit (DE-588)4153521-2 gnd |
| topic_facet | Mathematics / Ability Mathematics MATHEMATICS / History & Philosophy Getalbegrip Cognitieve vaardigheden Wiskunde Mathematical ability Mathematik Kognitiver Prozess Fertigkeit Mathematische Begabung Psychologie Fähigkeit Aufsatzsammlung |
| url | http://www.sciencedirect.com/science/book/9780444890146 |
| work_keys_str_mv | AT campbelljamieid thenatureandoriginsofmathematicalskills |