Puzzles in mathematics education:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
München
LINCOM GmbH
2017
|
| Schriftenreihe: | Interdisciplinary studies on the nature of mathematics
04 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis Inhaltsverzeichnis |
| Beschreibung: | iii, 200 Seiten Illustrationen 25 cm, 680 g |
| ISBN: | 9783862888276 3862888274 |
Internformat
MARC
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| 245 | 1 | 0 | |a Puzzles in mathematics education |c Marcel Danesi |
| 264 | 1 | |a München |b LINCOM GmbH |c 2017 | |
| 300 | |a iii, 200 Seiten |b Illustrationen |c 25 cm, 680 g | ||
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Datensatz im Suchindex
| _version_ | 1804177862960349184 |
|---|---|
| adam_text | T
ABLE
OF
C
ONTENTS
INTRODUCTION.....................................................................................................................................
1
1 PUZZLES AND
MATHEMATICS........................................................................................................3
1.1 MATH
PUZZLES........................................................................................................................
4
1.1.1
RIDDLES.........................................................................................................................5
1.1.2
PROBLEMS.....................................................................................................................
6
1.1.3
PUZZLES.........................................................................................................................8
1.1.4
GAMES........................................................................................................................
13
1.2 PUZZLES AND MATH
EDUCATION..............................................................................................
15
1.2.1 THE AHMES
PAPYRUS..................................................................................................
15
1.2.2 MEDIEVAL MATH
EDUCATION........................................................................................17
1.2.3 PUZZLES AND MATH EDUCATION AFTER FIBONACCI
........................................................
22
1.2.4
PEDAGOGICAL FEATURES O F
PUZZLES............................................................................26
1.3 PUZZLES AND MATHEMATICAL
METHOD...................................................................................28
1.3.1 THE GENERALIZATION
PRINCIPLE..................................................................................
30
1.3.2 THE PUZZLE
PRINCIPLE.................................................................................................31
1.3.3 THE SERENDIPITY PRINCIPLE
........................................................................................
34
1.4 RECREATIONAL
MATHEMATICS.................................................................................................37
1.4.1 EDUCATIONAL RECREATIONAL MATHEMATICS
.................................................................
38
1.4.2 MATH
FLUENCY............................................................................................................
42
2 MATHEMATICAL
STRUCTURE........................................................................................................46
2.1 PUZZLES IN
ARITHMETIC.........................................................................................................47
2.1.1 COUNTING AND MEASURING
PUZZLES............................................................................48
2.1.2 MAGIC
SQUARES..........................................................................................................
56
2.1.3 ALGORITHMIC IMPLICATIONS
.........................................................................................
58
2.2
CIYPTARITHMETIC..................................................................................................................
62
2.2.1
CRYPTARITHMS.............................................................................................................
63
2.2.2
ALPHAMETICS..............................................................................................................
64
2.3 LUDIC
STRUCTURE..................................................................................................................
69
2.3.1 LUDIC
ARITHMETIC.......................................................................................................69
2.3.2 LUDIC
ALGEBRA............................................................................................................72
2.4 HIDDEN
STRUCTURE.............................................................................................................
75
2.4.1 JOSEPHUS S
PROBLEM..................................................................................................
76
2.4.2 THE
TANGRAM.............................................................................................................78
2.4.3 MAZES AND
PATHS........................................................................................................80
3 THE PUZZLE
PRINCIPLE...............................................................................................................83
3.1 PUZZLE
ARCHETYPES..............................................................................................................85
3.1.1 ALCUIN S RIVER CROSSING PUZZLES
..............................................................................
86
3.1.2 EULER S KOENIGSBERG BRIDGES
PUZZLE.........................................................................
90
3.1.3 FIBONACCI S RABBIT
PUZZLE........................................................................................96
3.2
MEMETICS............................................................................................................................101
3.2.1 IBN KALLIKAN S CHESS
PUZZLE...................................................................................
102
3.2.2 THE TOWERS O F HANOI
PUZZLE...................................................................................
104
3.2.3 MEME
THEORY...........................................................................................................
106
3.3
DISCOVERY...........................................................................................................................110
3.3.1 PROBABILITY
THEORY..................................................................................................110
3.3.2 ZENO S
PARADOXES....................................................................................................112
3.4 PEDAGOGICAL
IMPLICATIONS..................................................................................................114
3.4.1 PUZZLES AS DISCOVERY
FORMATS................................................................................114
3.4.2 PUZZLES AS
EXPLORATIONS..........................................................................................
115
4 PUZZLES AND MATH
COGNITION...............................................................................................
118
4.1 MATH
COGNITION.................................................................................................................
120
4.1.1 AHA
INSIGHTS.............................................................................................................
121
4.1.2 THE BIRTHDAY
PUZZLE.................................................................................................123
4.1.3
NUMEROSITY...............................................................................................................
125
4.2 PROBABILITY
REASONING.......................................................................................................128
4.2.1 THE MONTY HALL
PROBLEM........................................................................................
129
4.2.2 THE PROSECUTOR S
FALLACY.......................................................................................
131
4.3 SPATIAL
REASONING.............................................................................................................
132
4.3.1 CHESS
PUZZLES..........................................................................................................
134
4.3.2 THE RUBIK S
CUBE....................................................................................................136
4.3.3 THE FOUR COLOR
PROBLEM........................................................................................
137
4.3.4 GET O FF THE EARTH
PUZZLE.........................................................................................
139
4.4 LOGICAL
REASONING............................................................................................................143
4.4.1
PROOF........................................................................................................................
145
4.4.2
SUDOKU.....................................................................................................................
147
4.5 AHA
THINKING....................................................................................................................
153
4.5.1 THE NINE-DOT PUZZLE
REVISITED...............................................................................155
4.5.2 DISSECTION
PUZZLES..................................................................................................
157
5 RECREATIONAL MATHEMATICS IN THE
CLASSROOM...................................................................160
5.1 PUZZLES AS ACQUISITION
DEVICES.......................................................................................162
5.1.1
FIATLAND...................................................................................................................
163
5.1.2 DECONSTRUCTION
PUZZLES..........................................................................................
167
5.2 THE PSYCHOLOGY O F
PUZZLES..............................................................................................
170
5.2.1 THE MODAL FLOW
PRINCIPLE.....................................................................................172
5.2.2
ANCILLARY VERSUS INTEGRAL PUZZLE
USE....................................................................
174
5.2.3 THE MODAL FOCUSING
PRINCIPLE...............................................................................176
5.3 MATH
PEDAGOGY.................................................................................................................179
5.3.1 PUZZLE-BASED
LEARNING...........................................................................................
180
5.3.2 THE EUREKA
FACTOR..................................................................................................
181
5.4 CONCLUDING REM
ARKS.......................................................................................................
184
REFERENCES......................................................................................................................................189
INDEX...............................................................................................................................................
196
|
| any_adam_object | 1 |
| author | Danesi, Marcel 1946- |
| author_GND | (DE-588)137512724 |
| author_facet | Danesi, Marcel 1946- |
| author_role | aut |
| author_sort | Danesi, Marcel 1946- |
| author_variant | m d md |
| building | Verbundindex |
| bvnumber | BV044520119 |
| classification_rvk | SN 300 |
| ctrlnum | (OCoLC)1011379313 (DE-599)DNB1136623736 |
| 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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| indexdate | 2024-07-10T07:54:50Z |
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| isbn | 9783862888276 3862888274 |
| language | English |
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| physical | iii, 200 Seiten Illustrationen 25 cm, 680 g |
| publishDate | 2017 |
| publishDateSearch | 2017 |
| publishDateSort | 2017 |
| publisher | LINCOM GmbH |
| record_format | marc |
| series | Interdisciplinary studies on the nature of mathematics |
| series2 | Interdisciplinary studies on the nature of mathematics Fields Cognitive science network |
| spelling | Danesi, Marcel 1946- Verfasser (DE-588)137512724 aut Puzzles in mathematics education Marcel Danesi München LINCOM GmbH 2017 iii, 200 Seiten Illustrationen 25 cm, 680 g txt rdacontent n rdamedia nc rdacarrier Interdisciplinary studies on the nature of mathematics 04 Fields Cognitive science network Mathematikunterricht (DE-588)4037949-8 gnd rswk-swf Unterhaltungsmathematik (DE-588)4124357-2 gnd rswk-swf Mathematik Pädagogik Rätsel Unterhaltungsmathematik (DE-588)4124357-2 s Mathematikunterricht (DE-588)4037949-8 s DE-604 LINCOM Europa (München) (DE-588)5300573-9 pbl Interdisciplinary studies on the nature of mathematics 04 (DE-604)BV040662625 4 B:DE-101 application/pdf http://d-nb.info/1136623736/04 Inhaltsverzeichnis DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=029919671&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Danesi, Marcel 1946- Puzzles in mathematics education Interdisciplinary studies on the nature of mathematics Mathematikunterricht (DE-588)4037949-8 gnd Unterhaltungsmathematik (DE-588)4124357-2 gnd |
| subject_GND | (DE-588)4037949-8 (DE-588)4124357-2 |
| title | Puzzles in mathematics education |
| title_auth | Puzzles in mathematics education |
| title_exact_search | Puzzles in mathematics education |
| title_full | Puzzles in mathematics education Marcel Danesi |
| title_fullStr | Puzzles in mathematics education Marcel Danesi |
| title_full_unstemmed | Puzzles in mathematics education Marcel Danesi |
| title_short | Puzzles in mathematics education |
| title_sort | puzzles in mathematics education |
| topic | Mathematikunterricht (DE-588)4037949-8 gnd Unterhaltungsmathematik (DE-588)4124357-2 gnd |
| topic_facet | Mathematikunterricht Unterhaltungsmathematik |
| url | http://d-nb.info/1136623736/04 http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=029919671&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV040662625 |
| work_keys_str_mv | AT danesimarcel puzzlesinmathematicseducation AT lincomeuropamunchen puzzlesinmathematicseducation |
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