Student understanding of basic calculus concepts: Interaction with the graphics calculator

The Journal of Mathematical Behavior - Tập 13 - Trang 225-237 - 1994
A.Darien Lauten1
1Oyster River High School, Durham, NH, USA

Tài liệu tham khảo

Bell, 1981, The interpretation of graphs representing situations, For the learning of mathematics, 2, 34 Buck, 1970, Functions Cobb, 1991, Assessment of a problem-centered second grade mathematics project, Journal for Research in Mathematics Education, 22, 3, 10.2307/749551 Confrey, 1980 Confrey, 1981, Using the clinical interview to explore students' mathematical understandings Confrey, 1991 1991, 4 Davis, 1986, The notion of limit: Some seemingly unavoidable misconception stages, Journal of Mathematical Behavior, 5, 281 Demana, 1990 1986 Dreyfus, 1983, The function concept in college students: Linearity, smoothness and periodicity, Focus on Learning Problems in Mathematics, 5, 119 Dreyfus, 1984, Intuition on functions, Journal of Experimental Education, 52, 77, 10.1080/00220973.1984.11011875 Ferrini-Mundy, 1991, Research in calculus learning: understanding of limits, derivatives, and integrals Graham, 1989, An exploration of student understanding of central concepts in calculus Leinhardt, 1990, Functions, graphs and graphing: Tasks, learning and teaching, Review of Educational Research, 60, 1, 10.3102/00346543060001001 Lincoln, 1985 Markovits, 1986, Functions today and yesterday, For the Learning of Mathematics, 6, 18 Markovits, 1986, Functions today and yesterday, For the Learning of Mathematics, 6, 28 Monk, 1987, Students' understanding of functions in calculus courses, Humanistic Mathematics Network Newsletter, 2 National Council of Teachers of Mathematics, 1989 National Council of Teachers of Mathematics, 1991 Nemirovsky, 1992 Tall, 1986, Investigating graphs and the calculus in the sixth form, 156 Tall, 1978, Conflicts in the learning of real numbers and limits, Mathematics Teaching, 82, 44 1990 Vinner, 1987, Continuous functions—Images and reasoning in college students, 177 Williams, 1991, Models of limit held by college calculus students, Journal for Research in Mathematics Education, 22, 219, 10.2307/749075 Young, 1986, Present problems and future prospects