Integrating Research on the Graphical Representation of Functions

Thomas P. Carpenter, Thomas A. Romberg, Elizabeth Fennema

• Contents: T.A. Romberg, T.P. Carpenter, E. Fennema, Toward a Common Research Perspective. Part I:Content.F. Demana, H.L. Schoen, B. Waits, Graphing in the K-12 Curriculum: The Impact of the Graphing Calculator. M. Yerushalmy, J.L. Schwartz, Seizing the Opportunity to Make Algebra Mathematically and Pedagogically Interesting. J. Moschkovich, A.H. Schoenfeld, A. Arcavi, Aspects of Understanding: On Multiple Perspectives and Representations of Linear Relations and Connections Among Them. Part II:Student Thinking.S. Dugdale, Functions and Graphs -- Perspectives on Student Thinking. Part III:Teaching Thinking.T.J. Cooney, M.R. Wilson, Teachers' Thinking About Functions: Historical and Research Perspectives. Part IV:Teacher Knowledge.F.A. Norman, Integrating Research on Teachers' Knowledge of Functions and Their Graphs. Part V:Classroom Instruction.C. Kieran, Functions, Graphing, and Technology: Integrating Research on Learning and Instruction. Part VI:Curricular Implications.R.A. Philipp, W.O. Martin, G.W. Richgels, Curricular Implications of Graphical Representations of Functions. Part VII:Reactions.J. Kaput, The Urgent Need for Proleptic Research in the Representation of Quantitative Relationships. S. Williams, Some Common Themes and Uncommon Directions.

"...very valuable as a source book that gives access to much literature and many projects and research questions....All researchers on the graphical representations of functions will find the book a valuable source book for their research."—Journal of Research in Mathematics Education"...the editors of this book have collected nine articles and two reactions all written by prominent researchers in the area of function....The book offers an in-depth look at a current issue in mathematics education. Aimed at researchers, it contains important information for classroom teachers and policy makers on how students learn..."—School Science & Mathematics