Secondary mathematics teachers' knowledge of slope

被引:3
作者
Stump S. [1 ]
机构
[1] Department of Mathematical Sciences, Ball State University, Muncie
关键词
Preservice Teacher; Pedagogical Content Knowledge; Procedural Knowledge; Inservice Teacher; Mathematical Understanding;
D O I
10.1007/BF03217065
中图分类号
学科分类号
摘要
This study, conducted m the United States, investigated secondary mathematics teachers' concept definitions, mathematical understanding, and pedagogical content knowledge of slope. Surveys were collected from 18 preservlce and 21 inservice teachers; 8 teachers from each group were also interviewed. Geometric ratios dominated teachers' concept definitions of slope. Problems involving the recognitlon of parameters, the interpretation of graphs, and rate of change challenged teachers' thinking. Teachers' descriptions of classroom instruction included physical situations more often than functional sltuataons. Results suggest that mathemahcs teacher educahon programs need to specifically address slope as a fundamental concept, emphasismg its connection to the concept of function.
引用
收藏
页码:124 / 144
页数:20
相关论文
共 46 条
[1]  
Azcarate C., Estudio de los esquemas conceptuales y de los perfiles de unos alumnos de segundo de bup en relacion con el concepto de pendiente de una recta, Epsilon, 24, pp. 9-22, (1992)
[2]  
Barr G., Graphs, gradients and intercepts, Mathematics in School, 9, 1, pp. 5-6, (1980)
[3]  
Barr G., Some student ideas on the concept of gradient, Mathematics in School, 10, 1, pp. 14-17, (1981)
[4]  
Bell A., Janvier C., The interpretation of graphs representing situations, For the Learning of Mathematics, 2, 1, pp. 34-42, (1981)
[5]  
Cooney T.J., Teacher education as an exercise in adaptation, Professional development for teachers of mathematics, pp. 9-22, (1994)
[6]  
Day R.P., Using functions to make mathematical connections, Connecting mathematics across the curriculum, pp. 54-64, (1995)
[7]  
Erickson F., Qualitative methods in research on teaching, Handbook of research on teaching, pp. 119-161, (1986)
[8]  
Even R., Subject-matter knowledge and pedagogical content knowledge: Prospective secondary teachers and the function concept, Journal for Research in Mathematics Education, 24, pp. 94-116, (1993)
[9]  
Fey J.T., Quantity, On the shoulders of giants, pp. 61-94, (1990)
[10]  
Fey J.T., Good R.A., Rethinking the sequence and priorities of high school mathematics curricula, The secondary school mathematics curriculum, pp. 43-52, (1985)