论文信息 - Reductive thinking in undergraduate CS courses

Reductive thinking in undergraduate CS courses

This paper describes research on the perception of undergraduate students of the concept of reduction. Specifically, based on an analysis of students' answers to questions addressing different CS topics, we present several findings regarding the ways in which undergraduate students conceive of and apply reduction. In addition to the research description and results, the paper discusses the role of reduction in CS and suggests several teaching applications.

Judith Gal-Ezer | Michal Armoni

[1] Orit Hazzan,et al. Reducing Abstraction When Learning Computability Theory , 2003 .

[2] Judith Gal-Ezer,et al. Solving Problems Reductively , 2005 .

[3] David Ginat. Efficiency of algorithms for programming beginners , 1996, SIGCSE '96.

[4] David Ginat. Early Algorithm Efficiency with Design Patterns , 2001, Comput. Sci. Educ..

[5] Judith Gal-Ezer,et al. Reduction -- an abstract thinking pattern: the case of the computational models course , 2006, SIGCSE '06.

[6] Orit Hazzan,et al. Reducing Abstraction Level When Learning Abstract Algebra Concepts , 1999 .

[7] E. Goldenberg,et al. Habits of mind: An organizing principle for mathematics curricula , 1996 .

[8] David W. Carraher,et al. Street mathematics and school mathematics , 1993 .

[9] Celia Hoyles,et al. Windows on Mathematical Meanings , 1996 .

[10] Alan H. Schoenfeld,et al. Mathematical Problem Solving , 1985 .

[11] Orit Hazzan,et al. How Students Attempt to Reduce Abstraction in the Learning of Mathematics and in the Learning of Computer Science , 2003, Comput. Sci. Educ..

[12] Judith Gal-Ezer,et al. Teaching Reductive Thinking. , 2005 .

[13] G. A. Miller. THE PSYCHOLOGICAL REVIEW THE MAGICAL NUMBER SEVEN, PLUS OR MINUS TWO: SOME LIMITS ON OUR CAPACITY FOR PROCESSING INFORMATION 1 , 1956 .