A Taxonomy of Software for Mathematics Instruction.

The potential to use mathematics so ftware to enhance student thinking and development is discussed and a taxonomy of software categories is outlined in this paper. Briefly, there are five categories of tool-based mathematics software that can be used fruitfully in a mathematics curriculum: (a) review and practice, (b) general, (c) specific, (d) environment, and (e) communication. A description of the affordances and constraints of the five types of software and how each facilitates different aspects of student learning clarifies the ways in which diverse off-the-shelf offerings can be used to address the goals of mathematics instruction, from building basic skills to exploring mathematical applications in the real world.

[1]  David H. Jonassen,et al.  Learning to Solve Problems , 2003 .

[2]  Hollylynne Stohl Drier,et al.  Teaching and Learning Mathematics With Interactive Spreadsheets , 2001 .

[3]  Michael L. Connell Technology in constructivist mathematics classrooms , 1998 .

[4]  Susan R. Goldman,et al.  Complex Mathematical Problem Solving by Individuals and Dyads , 1997 .

[5]  P. Brouwer,et al.  Hold on a Minute Here: What Happened to Critical Thinking in the Information Age? , 1996 .

[6]  Yavuz Akpinar,et al.  Designing interactive learning environments , 1996 .

[7]  John D. Bransford,et al.  The Jasper Project: Lessons in Curriculum, Instruction, Assessment, and Professional Development , 1997 .

[8]  Katharina Scheiter,et al.  Goal Configurations and Processing Strategies as Moderators Between Instructional Design and Cognitive Load: Evidence From Hypertext-Based Instruction , 2003 .

[9]  A. Schoenfeld Cognitive Science and Mathematics Education , 1987 .

[10]  Gautam Biswas,et al.  Computer technology and complex problem solving: Issues in the study of complex cognitive activity , 1999 .

[11]  Celia Hoyles,et al.  Software Tools for Geometrical Problem Solving: Potentials and Pitfalls , 2002, Int. J. Comput. Math. Learn..

[12]  Michael Simonson,et al.  Integrating Educational Technology Into Teaching) , 1998 .

[13]  Margaret L. Niess,et al.  Technology for Technology's Sake or for the Improvement of Teaching and Learning? , 2000 .

[14]  C. H. J. Davies Student engagement with simulations: a case study , 2002, Comput. Educ..

[15]  Inessa Levi A Note on Using Maple To Teach Linear Algebra. , 1997 .

[16]  David H. Jonassen,et al.  Handbook of Research for educational Communications and Technology , 1997 .

[17]  Chris Dede,et al.  Emerging influences of information technology on school curriculum , 2000 .

[18]  Curtis J. Bonk,et al.  A Theoretical Analysis of Social Interactions in Computer-Based Learning Environments: Evidence for Reciprocal Understandings , 1999 .

[19]  Ibrahim M. Hefzallah,et al.  The New Educational Technologies and Learning: Empowering Teachers to Teach and Students to Learn in the Information Age , 1999 .

[20]  David H. Jonassen,et al.  Learning to Solve Problems with Technology: A Constructivist Perspective , 2002 .

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

[22]  Anthony Herrington,et al.  Re-Examining Categories of Computer-Based Learning in Mathematics Education , 2003 .

[23]  Brad Hokanson,et al.  The Changing Face of Knowledge , 2000 .

[24]  Timothy Shea,et al.  Designing Courses Outside the Classroom: New Opportunities with the Electronic Delivery Toolkit , 2002 .

[25]  James A. Middleton,et al.  Integration of Technology, Science, and Mathematics in the Middle Grades: A Teacher Preparation Program , 2002 .

[26]  Robert D. Hannafin,et al.  Learning With Dynamic Geometry Programs: Perspectives of Teachers and Learners , 2001 .

[27]  Norman Chonacky,et al.  Computer in the School: Tutor, Tool, Tutee , 1980 .

[28]  Samuel Richmond Report to the President on the Use of Technology to Strengthen K-12 Education in the United States , 1998 .

[29]  Sharon Dugdale Establishing Computers as an Optional Problem Solving Tool in a Nontechnological Mathematics Context , 1999, Int. J. Comput. Math. Learn..

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

[31]  D. Squires,et al.  An heuristic approach to the evaluation of educational mmultimedia software , 1997 .

[32]  Jennifer Preece,et al.  Usability and learning: Evaluating the potential of educational software , 1996, Comput. Educ..

[33]  James A. Middleton,et al.  Patterns of faculty and student conversation in listserv and traditional journals in a program for preservice mathematics and science teachers , 1998 .

[34]  John R. Anderson,et al.  Illustrating Principled Design: The Early Evolution of a Cognitive Tutor for Algebra Symbolization , 1998, Interact. Learn. Environ..

[35]  Kevin Oliver,et al.  Methods for Developing Constructivist Learning on the Web. , 2000 .

[36]  Molly Nicaise Computer-supported apprenticeships in math and science , 1997 .