Identification and fostering of Mathematically gifted children: challenging situations approach at the elementary school
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| Format: | Book |
| Language: | English |
| Published: |
Saarbrcken, Deutschland
LAP Lambert Academic Publishing
© 2010
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| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Includes some contributions from the first joint meeting of the American Mathematical Society and the Korean Mathematical Society in Seoul, Korea, December 16-20, 2009 |
| Physical Description: | v, 152 Seiten Illustrationen 22 cm |
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| 245 | 1 | 0 | |a Identification and fostering of Mathematically gifted children |b challenging situations approach at the elementary school |c Viktor Freiman |
| 264 | 1 | |a Saarbrcken, Deutschland |b LAP Lambert Academic Publishing |c © 2010 | |
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| 650 | 4 | |a Gifted children / Education | |
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Record in the Search Index
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| adam_text | TABLE OF CONTENT
Acknowledgments
Table of Content
List of Figures iv
List of Tables v
Introduction 1
Chapter ! Literature survey on the problem of identification and fostering 3
of mathematical giftedness
1.1 Defining mathematical giftedness 3
1.2 Identifying mathematically gifted children 9
1.2.1 Intelligence testing 10
1.2.2 Reasoning test (SAT) 10
1.2.3 Use of special tests 11
1.2.4 Competitions 15
1.2.5 Alternative approaches 16
1.2.6 Investigative, open-ended problem solving alternative 16
1.2.7 Challenging tasks 18
1.3 Different levels and types of giftedness 20
L3.1 Binet (1922) 20
1.3.2 Hlavaty(1959) 21
1.3.3 Krutestskii (1976) 21
1.3.4 Gnedenko (1991) 21
1.3.5 Burjan (1991) 22
1.3.6 Usiskin (2000) 23
1.4 Education of the gifted: pedagogical approaches for gifted, able 23
and promising
1.4.1 Different options for gifted students 23
l, 4.2 Curriculum for mathematically gifted children 24
I.4.3 School policy and needs of gifted children: the existence of a 26
gap
Chapter It Mathematical thinking and giftedness: problems and questions 31
11.1 Introduction 31
11.2 Example from the history: Gauss 32
11.3 Elementary school children’s strategies on challenging tasks in 37
the mathematics classroom
11.4 Analysis of the nature of mathematical thinking 41
11.5 Krutetskii s methods of study mathematical abilities through 47
thinking
11.5.1 Choice of mathematical problems 48
If. 5.2 Choice of students 51
11.5.3 Discrimination between mathematically capable and other 52
students
11.6 How to foster the development of mathematical thinking? 60
ii
Chapter HI Theories underlying the development of a challenging situations 64
P approach to identifying and nurturing mathematically gifted
children
III. 1 Introduction 64
III.2 Paradoxes of teaching 66
(I| 3 Approaches to overcoming the paradoxes of teaching 69
Hi 3.1 Constructing of teaching based on problem situations 69
III 3*2 Shchedrovitskii’s ‘reflective’ schemas for the fostering of 71
abilities
ill.3.3 Epistemological foundations for the development of ‘good 84
understanding’ in mathematics
III. 4 Conclusion 87
Chapter IV Challenging situation approach to mathematical giftedness 89
IV. 1 The definition of challenging situation 89
IV.2 The experiment 93
IV.2.1 The context 93
IV.2.2 Design of a challenging curriculum: example of an enriched 99
course for the Kindergarten
IV.2.3 Analysis of a challenging situation given to Kindergarten (5 year 103
old) children in an enriched mathematics course
IV.3 Challenging situations approach and development of 111
mathematical reasoning
IV.3.1 Example of the use of logical inference by mathematically gifted 112
children: fluency, control, rigour
IV.3.2 Example of use of logic in problem solving 117
IV.3.3 Example of construction of a ‘proof’ by mathematically gifted 118
students
IV.4 Guidelines for the design of challenging situations 121
IV.4.1 Open-ended problems and investigations 121
IV.4.2 Routine work turned into a challenge by the teacher 123
IV.4.3 Routine work turned into a challenge by a student 124
IV.4.4 Transformation of challenge within one situation 125
IV. 5 The role of the teacher 128
IV.6 The role of the student 130
IV. 7 Conclusion 130
Chapter V Conclusions and recommendations 132
References 138
Resources for teachers: open the door into education of 149
mathematically gifted children
iii
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| any_adam_object | 1 |
| author | Freiman, Viktor ca. 20./21. Jh |
| author_GND | (DE-588)1180326180 |
| author_facet | Freiman, Viktor ca. 20./21. Jh |
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| author_sort | Freiman, Viktor ca. 20./21. Jh |
| author_variant | v f vf |
| building | Verbundindex |
| bvnumber | BV043222526 |
| classification_rvk | SM 670 |
| ctrlnum | (OCoLC)951896657 (DE-599)BVBBV043222526 |
| discipline | Mathematik |
| format | Book |
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| illustrated | Illustrated |
| indexdate | 2024-07-10T07:20:56Z |
| institution | BVB |
| language | English |
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| owner_facet | DE-739 |
| physical | v, 152 Seiten Illustrationen 22 cm |
| publishDate | 2010 |
| publishDateSearch | 2010 |
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| spelling | Freiman, Viktor ca. 20./21. Jh. Verfasser (DE-588)1180326180 aut Identification and fostering of Mathematically gifted children challenging situations approach at the elementary school Viktor Freiman Saarbrcken, Deutschland LAP Lambert Academic Publishing © 2010 v, 152 Seiten Illustrationen 22 cm txt rdacontent n rdamedia nc rdacarrier Includes some contributions from the first joint meeting of the American Mathematical Society and the Korean Mathematical Society in Seoul, Korea, December 16-20, 2009 Mathematics / Study and teaching Gifted children / Education Gifted children / Education fast Mathematics / Study and teaching fast Erziehung Mathematik Mathematische Begabung (DE-588)4169099-0 gnd rswk-swf Förderung (DE-588)4154943-0 gnd rswk-swf Begabtenförderung (DE-588)4069227-9 gnd rswk-swf Grundschule (DE-588)4022349-8 gnd rswk-swf Mathematikunterricht (DE-588)4037949-8 gnd rswk-swf Mathematikunterricht (DE-588)4037949-8 s Begabtenförderung (DE-588)4069227-9 s Grundschule (DE-588)4022349-8 s DE-604 Mathematische Begabung (DE-588)4169099-0 s Förderung (DE-588)4154943-0 s Digitalisierung UB Passau - ADAM Catalogue Enrichment application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028645375&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Freiman, Viktor ca. 20./21. Jh Identification and fostering of Mathematically gifted children challenging situations approach at the elementary school Mathematics / Study and teaching Gifted children / Education Gifted children / Education fast Mathematics / Study and teaching fast Erziehung Mathematik Mathematische Begabung (DE-588)4169099-0 gnd Förderung (DE-588)4154943-0 gnd Begabtenförderung (DE-588)4069227-9 gnd Grundschule (DE-588)4022349-8 gnd Mathematikunterricht (DE-588)4037949-8 gnd |
| subject_GND | (DE-588)4169099-0 (DE-588)4154943-0 (DE-588)4069227-9 (DE-588)4022349-8 (DE-588)4037949-8 |
| title | Identification and fostering of Mathematically gifted children challenging situations approach at the elementary school |
| title_auth | Identification and fostering of Mathematically gifted children challenging situations approach at the elementary school |
| title_exact_search | Identification and fostering of Mathematically gifted children challenging situations approach at the elementary school |
| title_full | Identification and fostering of Mathematically gifted children challenging situations approach at the elementary school Viktor Freiman |
| title_fullStr | Identification and fostering of Mathematically gifted children challenging situations approach at the elementary school Viktor Freiman |
| title_full_unstemmed | Identification and fostering of Mathematically gifted children challenging situations approach at the elementary school Viktor Freiman |
| title_short | Identification and fostering of Mathematically gifted children |
| title_sort | identification and fostering of mathematically gifted children challenging situations approach at the elementary school |
| title_sub | challenging situations approach at the elementary school |
| topic | Mathematics / Study and teaching Gifted children / Education Gifted children / Education fast Mathematics / Study and teaching fast Erziehung Mathematik Mathematische Begabung (DE-588)4169099-0 gnd Förderung (DE-588)4154943-0 gnd Begabtenförderung (DE-588)4069227-9 gnd Grundschule (DE-588)4022349-8 gnd Mathematikunterricht (DE-588)4037949-8 gnd |
| topic_facet | Mathematics / Study and teaching Gifted children / Education Erziehung Mathematik Mathematische Begabung Förderung Begabtenförderung Grundschule Mathematikunterricht |
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