What is Mathematical Modelling? Exploring Prospective Teachers' Use of Experiments to Connect Mathematics to the Study of Motion

被引:16
作者
Carrejo, David [1 ]
Marshall, Jill [2 ]
机构
[1] Univ Texas El Paso, Dept Teacher Educ, 500 West Univ Ave,EDUC 811, El Paso, TX 79968 USA
[2] Univ Texas Austin, Dept Curriculum & Instruct, 1 Univ Stn D5700, Austin, TX 78712 USA
关键词
D O I
10.1007/BF03217449
中图分类号
G40 [教育学];
学科分类号
040101 ; 120403 ;
摘要
This paper focuses on the construction, development, and use of mathematical models by prospective science and mathematics teachers enrolled in a university physics course. By studying their involvement in an inquiry-based, experimental approach to learning kinematics, we address a fundamental question about the meaning and role of abstraction in modelling when such approaches involve students encountering and resolving experimental error. We use a "tensions" framework to explore the capability of learners to make necessary connections between abstract mathematical models and physical phenomena.
引用
收藏
页码:45 / 76
页数:32
相关论文
共 41 条
[1]  
Blum W, 2007, NEW ICMI STUD SER, V10, P1, DOI 10.1007/978-0-387-29822-1
[2]  
Carrejo D., 2004, THESIS
[3]   Participating in classroom mathematical practices [J].
Cobb, P ;
Stephan, M ;
McClain, K ;
Gravemeijer, K .
JOURNAL OF THE LEARNING SCIENCES, 2001, 10 (1-2) :113-163
[4]  
Cohen I. B., 1980, NEWTONIAN REVOLUTION
[5]  
CONFREY J, 1998, CONSTRUCTIVISM ED, P104
[6]  
CONFREY J, 1996, INT J COMPUTERS MATH, V1, P139
[7]  
Confrey J., 1994, INTERACTIVE LEARNING, V4, P199
[8]  
Council N.R., 1996, NAT SCI ED STAND
[9]  
Dear Peter., 1995, DISCIPLINE EXPERIENC
[10]  
delMas R. C, 2004, CHALLENGE DEV STAT L, P79, DOI DOI 10.1007/1-4020-2278-6_4