Applications and modelling in learning and teaching mathematics:
Saved in:
| Format: | Book |
|---|---|
| Language: | English |
| Published: |
New York [u.a.]
Horwood [u.a.]
1989
|
| Edition: | 1. publ. |
| Series: | Mathematics and its applications
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Literaturangaben |
| Physical Description: | XVI, 451 S. graph. darst. |
| ISBN: | 0745803555 0470213159 |
Staff View
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| adam_text | Table of Contents
PREFACE xiii
Chapter 1. MATHEMATICAL MODELLING IN THE CURRICULUM 1
H. Burkhardt, Shell Centre for Mathematical Education, Nottingham, UK
Chapter 2. SOCIAL CHANGE AND MATHEMATICS 12
R. Fischer, University of Klagenfurt, Austria
Chapter 3. AIMS AND SCOPE OF APPLICATIONS AND MODELLING IN
MATHEMATICS CURRICULA 22
M. Niss, Roskilde University, Denmark
Chapter 4. RECENT APPLICATIONS OF MATHEMATICS AND THEIR
RELEVANCE TO TEACHING 32
H.O. Pollak, Summit, NJ, USA
Chapter 5. APPLIED MATHEMATICS INSTRUCTION IN THE LOWER
SECONDARY LEVEL - BETWEEN TRADITIONAL AND NEW
APPROACHES 37
H. Schupp, University of Saarbrucken, FRG
SECTION A. THEORY AND METHODOLOGY
Chapter 6, MATHEMATICS AND PHYSICS: WHERE IS THE DIFFERENCE? 49
R. Bkouche, Irem de Lille, France
Chapter 7. MATHEMATICAL MODELS AND MODELLING: DIFFERENT 55
VIEWS OF UNIVERSITY STUDENTS AND MATHEMATICS TEACHERS
L. Cannizzaro, University of Rome, Italy
Chapter 8. ASSESSMENT AT THE UPPER SECONDARY LEVEL 60
NJ. Clatworthy, Alexandra Hills Senior College, Queensland, Australia
vi Table of Contents
Chapter 9. APPLICATION-ORIENTATED MATHEMATICS TEACHING 66
G. Kaiser-Messmer, Kassel University, FRG
Chapter 10. THE TEETHING TROUBLES OF APPLIED MATHEMATICS
AS A SCHOOL SUBJECT AND HOW TO ASSESS THE STUDENT S
PERFORMANCE 73
W. Kleijne and H. Schuring, CITO National Institute for Educational
Measurement, The Netherlands
Chapter 11. MODELLING AND METAPHORS: POWER AND RISKS 81
N. Krumholtz, Israel Institute of Technology, Haifa, Israel
Chapter 12. APPLICATIONS IN FINNISH SCHOOL MATHEMATICS
EDUCATION - RESEARCH RESULTS AND DEVELOPMENT PROSPECTS 88
P. Kupari, Institute for Educational Research, Jyraskyla University, Finland
Chapter 13. A COGNITIVE PSYCHOLOGY APPROACH TO MODEL
FORMULATION IN MATHEMATICAL MODELLING 92
P. Lambert, A.P. Steward, K.I. Mangtelow and E.H. Robson, Sunderland
Polytechnic, UK
Chapter 14. THE TEACHING, LEARNING AND TESTING OF
MATHEMATICS FOR THE LIFE AND SOCIAL SCIENCES 98
./. de Lange Jnr, OW and OC, Utrecht, Holland
Chapter 15. APPLICATION READINESS IN MATHEMATICS AT 10-11 105
C. Ormell, University of East Anglia, UK
Chapter 16. TOWARDS A PHILOSOPHY OF AN APPLIED ORIENTED
MATHEMATICAL EDUCATION 110
O. Skovsmose, Aalborg University Centre, Denmark
Chapter 17. TEACHING APPLICATIONS OF MATHEMATICS 115
R. Straesser, University of Bielefeld, FRG
Chapter 18. GENERAL THEORY OF MODELLING AND THEORY OF
ACTION - A SOLUTION FOR THE EDUCATIONAL SITUATION AT
SCHOOL? 121
A. Warzel, Clemens-Hofbauer-Kolleg, BadDriburg, FRG
SECTION B. APPLICATIONS AND MODELLING AT THE LOWER
SECONDARY LEVEL
Chapter 19. THE PROBLEM OF THE GRAPHIC ARTIST 129
W. Blum and A. Kirsch, Kassel University, FRG
Table of Contents vii
Chapter 20. MATHEMATICAL MODELLING IN THE SCHOOL
CLASSROOM: DEVELOPING EFFECTIVE SUPPORT FOR
REPRESENTATIVE TEACHERS 136
B. Binns, H. Burkhardt, J. Gillespie and M. Swan, Shell Centre for Mathematical
Education, Nottingham, UK
Chapter 21. ASSESSMENT OF MATHEMATICAL MODELLING 144
J. Gillespie, B. Binns, H. Burkhardt and M. Swan, Shell Centre for Mathematical
Education and Joint Matriculation Board, UK
Chapter 22. GEOMETRY IN EVERYDAY LIFE 153
G. Graumann, University of Bielefeld, FRG
Chapter 23. ENTERPRISING MATHEMATICS: A CROSS-CURRICULAR
MODULAR COURSE FOR 14-16-YEAR-OLDS 159
D. Hobbs and D. Burghes, Centre for Innovation in Mathematics Teaching,
Exeter University, UK
Chapter 24. EVERYDAY MATHEMATICS IN THE COMPREHENSIVE
SCHOOL 166
E. Pehkonen, University of Helsinki, Finland
Chapter 25. INTEGRATION OF MATHEMATICS INTO OTHER SUBJECTS -
A CURRICULAR AIM AT THE LABORSCHULE BIELEFELD 170
D. Schluckebier and I. Stanik, Laborschule and University of Bielefeld, FRG
Chapter 26. THE SEQUENCING OF APPLICATIONS AND MODELLING IN
THE UNIVERSITY OF CHICAGO SCHOOL MATHEMATICS PROJECT
(UCSMP) 7-12 CURRICULUM 176
Z. Usiskin, University of Chicago, USA
Chapter 27. GOING UPHILL BY TRAIN-A TEACHING UNIT 182
/. Weidig, Pddagogische Hochschule Landau, FRG
Chapter 28. MATHEMATICS CLASSES AND ENLIGHTENMENT 187
D. Volk, Fritz-Steinhoffe-Schule Gelsenkirchen, FRG
SECTION C. APPLICATIONS AND MODELLING AT THE UPPER
SECONDARY LEVEL
Chapter 29. THE INTERNAL RATE OF RETURN OF AN INVESTMENT 195
P. Bender, Kassel University, FRG
Chapter 30. MUED: THE ROLE OF HANDLUNGSORIENTIERUNG IN
MATHEMATICS TEACHING 201
H. Boer and J. Meyer-Lerch, Gelsenkirchen, FRG
viii Table of Contents
Chapter 31. INTRODUCING DECISION MATHEMATICS INTO THE
SCHOOL SYLLABUS 207
The Spode Group, Exeter University, UK
Chapter 32. ART AND MATHEMATICS: AN INTERDISCIPLINARY MODEL
FOR MATHEMATICS EDUCATION 213
M. Emmer, University of Rome, Italy
Chapter 33. THE ROLE OF STUDY PROJECTS IN MATHEMATICAL
EDUCATION 219
G. Effe-Stumpf and A. Kemper, Oberstufen-Kolleg at the University of Bielefeld,
FRG
Chapter 34. ASPECTS OF GENERAL EDUCATION IN MATHEMATICS 225
K. Gerull, University of Bielefeld, FRG
Chapter 35. VISUALISATION OF MATHEMATICAL ASPECTS IN
INTERDISCIPLINARY TEACHING 230
W.S. Peters, University of Bonn, FRG
Chapter 36. A SEQUENCE OF COURSES DEALING WITH EMPIRICAL
METHODS IN THE SOCIAL SCIENCES 237
J. Schulert andH.D. Vohmann, Oberstufen-Kolleg at the University of Bielefeld,
FRG
Chapter 37. A FOODPRODUCING FACTORY 243
K. Hermann, Ministry of Education, Denmark
Chapter 38. MODELLING AND MISCONCEPTIONS IN MECHANICS 247
J. Jagger, Leeds University, UK
Chapter 39. A COMPARATIVE STUDY ON TEACHING LINEAR MODELS
AT THE UPPER SECONDARY LEVEL 253
R.N. Mukherjee, LaMartiniere College, Calcutta, India
Chapter 40. CONTEMPORARY IDEAS IN APPLIED MATHEMATICS 258
C. Sloyer, University of Delaware, USA
Chapter 41. MODELLING IN AN AMERICAN HIGH SCHOOL 262
D.J. Teague, North Carolina School of Science and Mathematics, USA
Chapter 42. MODELLING CAPACITY AND DELAYS AT SIGNALISED
TRAFFIC JUNCTIONS 267
J.E. Williams and J.D. Griffiths, UWIST, UK
Table of Contents ix
SECTION D. APPLICATIONS AND MODELLING AT THE TERTIARY
LEVEL
Chapter 43. A PRAGMATIC APPROACH TO MODELLING IN INITIAL
TEACHER TRAINING 275
N. BuftonandA. Oldknow, West Sussex Institute of HE, UK
Chapter 44. STATISTICALLY ORIENTED MODELLING PROBLEMS AT
THE TERTIARY LEVEL 280
R. Croasdale, Newcastle upon Tyne Polytechnic, UK
Chapter 45. A FIRST COURSE IN MATHEMATICAL MODELLING 288
D. Edwards and MJ. Hamson, Thames Polytechnic, UK
Chapter 46. MATHEMATICAL MODELLING FOR TRAINEE TEACHERS 292
R.J. Eyre, College of St Paul and St Mary, Cheltenham, UK
Chapter 47. WHY APPLIED GROUP THEORY IS IMPORTANT IN
MATHEMATICAL EDUCATION 296
A. Fdssler, Ingenieurschule Biel, Switzerland
Chapter 48. MODELLING THE SPREAD OF AN EPIDEMIC 300
J.D. Griffiths, J.K. Smedley and T.G. Weale, UWIST, UK
Chapter 49. THE INTERACTION AND INTEGRATION OF
MATHEMATICAL MODELLING WITH INDUSTRIAL TRAINING 306
MJ. Hamson, Thames Polytechnic, UK
Chapter 50. TEACHING THE APPROPRIATE USE OF A MATHEMATICAL
MODEL 312
G. Hanna, Ontario Institute for Studies in Education, Canada
Chapter 51. PROBLEMS OF METHODS AND TEACHING IN FURTHER
EDUCATION COURSES IN MATHEMATICS FOR ENGINEERS 317
J. Maass and W. Schlbglmann, University ofLinz, Austria
Chapter 52. THE UNIFYING EFFECTS OF MATHEMATICAL MODELLING
IN A COLLEGE OF HIGHER EDUCATION 323
T. Naylor, Edge Hill College of HE, UK
Chapter 53. STUDENT MODELLING ACTIVITIES AS A BRIDGE BETWEEN
TEACHING AND RESEARCH 330
G.G. Rodgers, Sheffield City Polytechnic, UK
Chapter 54. MATHEMATICAL MODELLING IN THE SCIENCES 336
A. Rogerson, MISP, Hawthorn, Australia
x Table of Contents
Chapter 55. COMMUNICATION THEORY - A RICH FIELD FOR
APPLICATION OF MATHEMATICS 342
N.C. Steele, R.H. Jones and A. Round, Coventry Polytechnic, UK
Chapter 56. INCORPORATING FINANCIAL FEATURES INTO A
MATHEMATICAL MODEL 348
M.A. Wilson andDJ.G. James, Coventry Polytechnic, UK
SECTION E. USE OF MICROCOMPUTERS
Chapter 57. MBL TO MODEL: COMBINING REAL WORLD DATA WITH
THEORETICAL MODELS 357
T. Barclay, Technical Education Research Centres, Massachusetts, USA
Chapter 58. COMPUTER SIMULATION AS TOOL AND OBJECT OF
TEACHING AND LEARNING PROBABILITY AND STATISTICS 361
R. Biehler, University of Bielefeld, FRG
Chapter 59. THE TEACHING OF MATHEMATICS AT TERTIARY LEVEL
THROUGH IMPERFECT MICROCOMPUTER SIMULATIONS 368
G. Bowtell, C.R. Haines andD.A. Tanner, City University, UK
Chapter 60. ROLE OF COMPUTERS FOR APPLICATION AND
MODELLING: THE ITMA APPROACH 373
R. Fraser, Shell Centre for Mathematical Education, UK
Chapter 61. MICROS - ARE WE MAKING THE BEST USE OF THEM? 381
/. Huntley, Sheffield City Polytechnic, UK
Chapter 62. THE COGNITIVE FOUNDATIONS OF MODELS THAT USE
INTENSIVE QUANTITIES 389
J.J. Kaput, Southeastern Massachusetts University, USA
Chapter 63. SIMULATION IN THE SCHOOL MATHEMATICS CURRICULUM 398
D. Kennett and D. Burghes, Centre for Innovation in Mathematics Teaching, UK
Chapter 64. COMPUTERGRAPHICAL EXPERIMENTS WITH REAL 2-D
MAPS: JULIA-LIKE BEHAVIOUR AND MANDELBROT SETS 405
W. Metzler, Kassel University, FRG
Chapter 65. USING COMPUTERS TO MODEL THE DIAGNOSIS AND
TEACHING OF MATHEMATICS IN HIGHER EDUCATION 411
A.O. Moscardini and D.A.S. Curran, SunderlandPolytechnic, UK
Chapter 66. MODELLING CASESTUDIES AT THE MATHS-IT INTERFACE:
USING FORMAL METHODS IN THE SOFTWARE DEVELOPMENT
PROCESS 417
A. Norcliffe and MM. Thomlinson, Sheffield City Polytechnic, UK
Table of Contents xi
Chapter 67. MODELLING CASESTUDIES AT THE MATHS-IT INTERFACE:
MATHEMATICAL MODELLING OF OIL RESERVOIRS 424
MM. Thomlinson and A. Norcliffe, Sheffield City Polytechnic, UK
Chapter 68. ANOTHER REAL WORLD APPROACH TO COMPLEX
DYNAMICS 430
B. Scholl, Darmstadt, FRG and P. Thieler, Flensburg, FRG
Chapter 69. FROM NUMBERS TO LETTERS: MOVING FROM THE
PARTICULAR TO THE GENERAL IN THE ALGEBRAIC PROPOSER 439
J.L. Schwartz, Harvard University, USA
Chapter 70. FORMAL SPECIFICATION AS A MATHEMATICAL MODEL OF
A SOFTWARE SYSTEM 445
G.L. Slater, Manchester Polytechnic, UK
INDEX 450
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| spelling | Applications and modelling in learning and teaching mathematics eds.: W. Blum ... 1. publ. New York [u.a.] Horwood [u.a.] 1989 XVI, 451 S. graph. darst. txt rdacontent n rdamedia nc rdacarrier Mathematics and its applications Literaturangaben Mathematikunterricht (DE-588)4037949-8 gnd rswk-swf (DE-588)4143413-4 Aufsatzsammlung gnd-content (DE-588)1071861417 Konferenzschrift gnd-content Mathematikunterricht (DE-588)4037949-8 s DE-604 Blum, Werner 1945- Sonstige (DE-588)106452819 oth HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=005045947&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
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| title | Applications and modelling in learning and teaching mathematics |
| title_auth | Applications and modelling in learning and teaching mathematics |
| title_exact_search | Applications and modelling in learning and teaching mathematics |
| title_full | Applications and modelling in learning and teaching mathematics eds.: W. Blum ... |
| title_fullStr | Applications and modelling in learning and teaching mathematics eds.: W. Blum ... |
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