Learning mathematics for life: a perspective from PISA
Gespeichert in:
| Format: | Buch |
|---|---|
| Sprache: | English |
| Veröffentlicht: |
Paris
OECD
2009
|
| Schlagworte: | |
| Online-Zugang: | Volltext Inhaltsverzeichnis |
| Beschreibung: | 245 S. Ill., graph. Darst. |
| ISBN: | 9789264074996 9789264075009 |
Internformat
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Datensatz im Suchindex
| _version_ | 1804143150486257664 |
|---|---|
| adam_text | Titel: Learning mathematics for life
Autor:
Jahr: 2009
Table of Contents
CHAPTER 1
PISA 2003: INTRODUCTION .................................................11
Introduction.....................................................................12
Purpose.........................................................................12
Background......................................................................12
Organisation of the report.........................................................13
READER S GUIDE..............................................................15
Abbreviations used in this report...................................................IS
Technical definitions..............................................................16
Further documentation............................................................16
CHAPTER 2
MAIN FEATURES OF THE PISA MATHEMATICS
THEORETICAL FRAMEWORK................................................17
Introduction.....................................................................18
Mathematical literacy.............................................................19
Mathematical content in PISA — the use of overarching ideas............................21
o
¦ Change and relationships.....................................................22
¦ Space and shape............................................................24
¦ Quantity..................................................................25
Uncertainty................................................................26
Overarching ideas and traditional topics.............................................27
Context — setting the mathematical problem to be solved..............................28
¦ Variety of contexts..........................................................29
¦ PISA contexts..............................................................30
¦ Mathematical relevance of context............................................30
The competencies................................................................31
¦ Mathematical thinking and reasoning..........................................32
¦ Mathematical argumentation.................................................32
¦ Modelling.................................................................32
¦ Problem posing and solving..................................................32
¦ Representation.............................................................33
¦ Symbols and formalism......................................................33
¦ Communication............................................................33
¦ Aids and tools..............................................................33
Competency clusters.............................................................34
¦ Reproduction cluster....................................................... 34
¦ Connections cluster.........................................................35
¦ Reflection cluster...........................................................36
Conclusion......................................................................36
CHAPTER 3
A QUESTION OF DIFFICULTY: QUESTIONS FROM PISA 2003................39
Introduction....................................................................40
Describing growth in mathematical literacy: how difficult is the question and
where does it fit on the PISA mathematics scale?.....................................40
The PISA scale and difficulty.......................................................41
Examples of the easiest mathematics questions from PISA 2003........................46
Examples of moderate to difficult mathematics questions from PISA 2003.............62
Examples of difficult mathematics questions from PISA 2003......................96
Conclusion..................................................................... 16
CHAPTER 4
COMPARISON OF COUNTRY LEVEL RESULTS............................... 7
Introduction.................................................................... °
Cross country differences in curriculum............................................ 9
Groupings of countries by patterns in item responses................................ 120
Patterns in mathematics content...................................................122
Performance and grade levels.................................................... 129
Competency clusters and mathematics performance..................................
Context and mathematics performance............................................. 35
Conclusion.....................................................................137
CHAPTER 5
THE ROLES OF LANGUAGE AND ITEM FORMATS..........................139
Introduction................................................................... 140
The use of language in PISA mathematics questions and student performance........... 4-0
Word-count and question difficulty across countries.................................. 4-1
Word-count and the context in which a question is presented.......................... 4-3
Word-count and competencies required to answer the question....................... 4-6
Word-count and content.........................................................147
Item-format and mathematics performance......................................... 49
Item-format and item difficulty across countries.....................................150
Item-format, the three C s and word-count.........................................151
Differences in item-format and omission rates....................................... 52
Conclusion............... .... 154
CHAPTER 6
MATHEMATICAL PROBLEM SOLVING AND DIFFERENCES IN STL/DENTS
UNDERSTANDING...........................................................157
Introduction....................................................................158
General features of mathematical problem solving in PISA.............................158
Making the problem-solving cycle visible through case studies of questions............. 160
¦ The first case study: Bookshelves - Question 1.................................161
¦ Reflection on Bookshelves — Question 1 ......................................163
¦ The second case study: Skateboard — Question 3.............................. 164
¦ Reflection on Skateboard — Question 3...................................... 167
Students mathematical understandings and item scoring............................. 167
Item coding in the database and information on students thinking............... 167
Students understanding of proportional reasoning.................................. 177
¦ The prevalence of proportional reasoning in PISA questions.................... 177
¦ The difficulty of proportional reasoning questions..............................178
Students understanding of symbolic algebra.........................................182
Students understanding of average.................................................185
Conclusion.....................................................................187
REFERENCES.................................................................189
ANNEXAI
PISA 2003 MATHEMATICS ASSESSMENTS:
CHARACTERISTICS OF QUESTIONS USED...................................193
ANNEXA2
OTHER. EXAMPLES OF PISA MATHEMATICS QUESTIONS THAT WERE
NOT USED IN THE PISA 2003 MATHEMATICS ASSESSMENT................231
ANNEXA3
TRADITIONAL DOMAINS AND PISA ITEMS................................ 235
ANNEX A4
WORD-COUNT AN D THE 3 Cs - ANALYSIS OF VARIANCE................ 237
ANNEXAS
ANALYSIS OF VARIANCE RELATED TO ITEM FORMAT.....................241
ANNEX A6
MATHEMATICS EXPERTGROUP.............................................245
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| title | Learning mathematics for life a perspective from PISA |
| title_auth | Learning mathematics for life a perspective from PISA |
| title_exact_search | Learning mathematics for life a perspective from PISA |
| title_full | Learning mathematics for life a perspective from PISA Programme for International Student Assessment |
| title_fullStr | Learning mathematics for life a perspective from PISA Programme for International Student Assessment |
| title_full_unstemmed | Learning mathematics for life a perspective from PISA Programme for International Student Assessment |
| title_short | Learning mathematics for life |
| title_sort | learning mathematics for life a perspective from pisa |
| title_sub | a perspective from PISA |
| topic | PISA Test (DE-588)4680022-0 gnd Mathematikunterricht (DE-588)4037949-8 gnd |
| topic_facet | PISA Test Mathematikunterricht |
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