Integrating Mathematical Modeling for Undergraduate Pre-Service Science Education Learning and Instruction in Middle School Classrooms

Computer-based mathematical modeling in physics is a process of constructing models of concepts and the relationships between them in the scientific characteristics of work. In this manner, computer-based modeling integrates the interactions of natural phenomenon through the use of models, which provide structure for theories and a base for experimentation. Utilizing this method, scientists construct knowledge, and in like manner, students in science construct their understandings in significant ways, addressing their preconceptions and their knowledge of concepts in physics. Project STIMMULIS (Science Teachers Integrating Mathematical Modeling in Undergraduate Learning for Instruction in Schools) provides a mathematical modeling context for pre-service mathematics and science teachers’ conceptual and applied understanding of motion. Project STIMMULIS can serve as a prototype for teacher education departments by: (1) providing rich science and mathematics content through a scientific and mathematical modeling based curriculum; and (2) developing, implementing and demonstrating innovative constructivist practices (strategies) for teaching science and mathematics.

[1]  Marja van den Heuvel-Panhuizen,et al.  The didactical use of models in realistic mathematics education: An example from a longitudinal trajectory on percentage , 2003 .

[2]  Werner Blum,et al.  ICMI study 14: Applications and modelling in mathematics education —Discussion document , 2002 .

[3]  Richard Lehrer,et al.  Developing model-based reasoning in mathematics and science , 2000 .

[4]  J. Shea.  National Science Education Standards , 1995 .

[5]  최영한,et al.  미국 NCTM의 Principles and Standards for School Mathematics에 나타난 수학과 교수,학습의 이론 , 2002 .

[6]  Shaaron Ainsworth,et al.  Examining the Effects of Different Multiple Representational Systems in Learning Primary Mathematics , 2002 .

[7]  L. Schauble,et al.  Structuring Error and Experimental Variation as Distribution in the Fourth Grade , 2003 .

[8]  William H. Robertson.  Dr. Skateboard’s Action Science , 2008 .

[9]  A. Su,et al.  The National Council of Teachers of Mathematics , 1932, The Mathematical Gazette.

[10]  Douglas H. Clements,et al.  Students' Development of Strategies for Turn and Angle Measure , 2000 .

[11]  J. Lagowski.  National Science Education Standards , 1995 .

[12]  Jane M. Keiser.  Struggles With Developing the Concept of Angle: Comparing Sixth-Grade Students' Discourse to the History of the Angle Concept , 2004 .

[13]  Judith T. Sowder,et al.  Estimation and number sense. , 1992 .

[14]  Ernst von Glasersfeld.  Radical constructivism and teaching , 2001 .

[15]  William H. Robertson.  Developing Problem-Based Curriculum: Unlocking Student Success Utilizing Critical Thinking and Inquiry , 2008 .

[16]  Thomas P. Hogan,et al.  Quantitative Estimation: One, Two, or Three Abilities? , 2003 .

[17]  Jeremy Kilpatrick,et al.  Adding It Up: Helping Children Learn Mathematics , 2013 .

[18]  David J. Carrejo,et al.  What is mathematical modelling? Exploring prospective teachers’ use of experiments to connect mathematics to the study of motion , 2007 .

[19]  Jill A. Marshall,et al.  Students' Mathematical Modeling of Motion , 2008 .

[20]  Abbie Brown,et al.  Design experiments: Theoretical and methodological challenges in creating complex interventions in c , 1992 .

[21]  M. Montague,et al.  A Cross-Sectional Study of Mathematics Achievement, Estimation Skills, and Academic Self-Perception in Students of Varying Ability , 2003, Journal of learning disabilities.

[22]  T. Mueller.  Learning to Think Spatially , 2006 .

[23]  Daniela M. Bailer-Jones,et al.  Scientists' Thoughts on Scientific Models , 2002, Perspectives on Science.

[24]  Paul Cobb,et al.  Participating in Classroom Mathematical Practices , 2001 .

[25]  Mogens Allan Niss.  Issues and Problems of Research on the Teaching and Learning of Applications and Modelling , 2001 .

[26]  Okhee Lee.  Science Education With English Language Learners: Synthesis and Research Agenda , 2005 .

[27]  Okhee Lee,et al.  Equity for Linguistically and Culturally Diverse Students in Science Education: A Research Agenda. , 2003 .

[28]  A. Strauss,et al.  The discovery of grounded theory: strategies for qualitative research aldine de gruyter , 1968 .

[29]  Ann S. Rosebery,et al.  Appropriating Scientific Discourse: Findings from Language Minority Classrooms. , 1992 .

[30]  B. Goussinsky.  Continuity and number , 1959 .

[31]  Ernst von Glasersfeld.  The Radical Constructivist View of Science , 2001 .

[32]  Mary Pat Mann.  Grounded Theory and Classroom Research. , 1993 .