Thinking mathematically:
Gespeichert in:
| Hauptverfasser: | , , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
London u.a.
Addison-Wesley
1982
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | IX, 229 S. Ill., graph. Darst. |
| ISBN: | 0201102382 |
Internformat
MARC
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| 100 | 1 | |a Mason, John |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Thinking mathematically |c by John Mason with Leone Burton and Kaye Stacey |
| 264 | 1 | |a London u.a. |b Addison-Wesley |c 1982 | |
| 300 | |a IX, 229 S. |b Ill., graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 650 | 4 | |a Mathematics | |
| 650 | 7 | |a Filosofie van de wiskunde |2 gtt | |
| 650 | 4 | |a Mathématiques | |
| 650 | 7 | |a Onderwijsmethoden |2 gtt | |
| 650 | 4 | |a Mathematik | |
| 650 | 4 | |a Mathematics | |
| 650 | 0 | 7 | |a Methode |0 (DE-588)4038971-6 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Aufgabe |0 (DE-588)4126116-1 |2 gnd |9 rswk-swf |
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Datensatz im Suchindex
| _version_ | 1804117772531138560 |
|---|---|
| adam_text | Introduction
=LL Everyone can start 1
Specializing 1
Generalizing 9
Writing yourself notes 11
Review and preview 24
2.3 Phases of work 29
Three phases 30
The entry phase 32
ENTRY 1: What do I KNOW? 33
ENTRY 2: What do I WANT? 36
ENTRY 3: What can I INTRODUCE? 39
ENTRY summarized 42
The attack phase 42
The review phase 43
REVIEW 1: CHECK the resolution 44
REVIEW 2: REFLECT on the key ideas
and key moments 45
REVIEW 3; EXTEND to a wider context 46
Practising REVIEW 48
vii
viii Thinking Mathematically
REVIEW summarized 51 ]
The three phases summarized 51
^Responses to being STOCK 55
Being stuck 55
Summary 68
4_? ATTACK: Conjecturing 71
What is conjecturing? 71
Conjecture: Backbone of a resolution 75
How do conjectures arise? 85
Discovering pattern 88
Summary 91
£R ATTACK: Justifying and convincing 95
Structure 95
Seeking structural links 100
When has a conjecture been justified? 105
Developing an internal enemy 109
Summary 115
©Still STUCK? 119
Distilling and mulling 119
Contents ix
Specializing and generalizing 123
Hidden assumptions 126
Summary 129
y/Developing an internal monitor 131
u Roles of a monitor 132
Emotional snapshot 134
Getting started 136
Getting involved 138
Mulling 140
Keeping going 141
Insight 143
Being sceptical 145
Contemplating 147
Summary 147
(s)0n becoming your own questioner 151
A spectrum of questions 152
Some questionable1 circumstances 154
Noticing 160
Obstacles to a questioning attitude 162
Summary 165
C°)Developing mathematical thinking 169
Improving mathematical thinking 170
Provoking mathematical thinking 174
Supporting mathematical thinking 176
Sustaining mathematical thinking 178
Conclusion 183
H® Something to think about 187
Bibliography 222
Index 223
Index of questions 228
|
| any_adam_object | 1 |
| author | Mason, John Burton, Leone 1936- Stacey, Kaye 1948- |
| author_GND | (DE-588)11086493X (DE-588)110864948 |
| author_facet | Mason, John Burton, Leone 1936- Stacey, Kaye 1948- |
| author_role | aut aut aut |
| author_sort | Mason, John |
| author_variant | j m jm l b lb k s ks |
| building | Verbundindex |
| bvnumber | BV003424057 |
| callnumber-first | Q - Science |
| callnumber-label | QA39 |
| callnumber-raw | QA39.2 |
| callnumber-search | QA39.2 |
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| callnumber-subject | QA - Mathematics |
| classification_rvk | SN 100 |
| ctrlnum | (OCoLC)8112759 (DE-599)BVBBV003424057 |
| dewey-full | 510 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 510 - Mathematics |
| dewey-raw | 510 |
| dewey-search | 510 |
| dewey-sort | 3510 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV003424057 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T15:59:43Z |
| institution | BVB |
| isbn | 0201102382 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-002166725 |
| oclc_num | 8112759 |
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| physical | IX, 229 S. Ill., graph. Darst. |
| publishDate | 1982 |
| publishDateSearch | 1982 |
| publishDateSort | 1982 |
| publisher | Addison-Wesley |
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| spelling | Mason, John Verfasser aut Thinking mathematically by John Mason with Leone Burton and Kaye Stacey London u.a. Addison-Wesley 1982 IX, 229 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Mathematics Filosofie van de wiskunde gtt Mathématiques Onderwijsmethoden gtt Mathematik Methode (DE-588)4038971-6 gnd rswk-swf Aufgabe (DE-588)4126116-1 gnd rswk-swf Problemlösen (DE-588)4076358-4 gnd rswk-swf Mathematik (DE-588)4037944-9 gnd rswk-swf Mathematik (DE-588)4037944-9 s Aufgabe (DE-588)4126116-1 s Problemlösen (DE-588)4076358-4 s 1\p DE-604 Methode (DE-588)4038971-6 s 2\p DE-604 Burton, Leone 1936- Verfasser (DE-588)11086493X aut Stacey, Kaye 1948- Verfasser (DE-588)110864948 aut HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002166725&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 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 |
| spellingShingle | Mason, John Burton, Leone 1936- Stacey, Kaye 1948- Thinking mathematically Mathematics Filosofie van de wiskunde gtt Mathématiques Onderwijsmethoden gtt Mathematik Methode (DE-588)4038971-6 gnd Aufgabe (DE-588)4126116-1 gnd Problemlösen (DE-588)4076358-4 gnd Mathematik (DE-588)4037944-9 gnd |
| subject_GND | (DE-588)4038971-6 (DE-588)4126116-1 (DE-588)4076358-4 (DE-588)4037944-9 |
| title | Thinking mathematically |
| title_auth | Thinking mathematically |
| title_exact_search | Thinking mathematically |
| title_full | Thinking mathematically by John Mason with Leone Burton and Kaye Stacey |
| title_fullStr | Thinking mathematically by John Mason with Leone Burton and Kaye Stacey |
| title_full_unstemmed | Thinking mathematically by John Mason with Leone Burton and Kaye Stacey |
| title_short | Thinking mathematically |
| title_sort | thinking mathematically |
| topic | Mathematics Filosofie van de wiskunde gtt Mathématiques Onderwijsmethoden gtt Mathematik Methode (DE-588)4038971-6 gnd Aufgabe (DE-588)4126116-1 gnd Problemlösen (DE-588)4076358-4 gnd Mathematik (DE-588)4037944-9 gnd |
| topic_facet | Mathematics Filosofie van de wiskunde Mathématiques Onderwijsmethoden Mathematik Methode Aufgabe Problemlösen |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002166725&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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