Math Education This page:   Constructivism  More Topics   Adult Numeracy   Assessment   Block Scheduling   Calculus Reform   Collaborative Learning   College Standards   Constructivism   Curric. Development   Grouping & Tracking   Interdisciplinary Math   Math Education Reform   Math for Employment   Mathematicians   NCTM Standards   Other Courses   WWW & Pedagogy Organizations/Journals Research Teacher Education/    Prof. Development Technology   Calculators   Computers   Software Conferences WWW Sites (JRME) Key Issues for Mathematics

The Forum's Internet Mathematics Library provides a page of links to sites on Constructivism. A few selections are offered below, and we also offer a page of selected Internet sites with a constructivist orientation or that offer readings on constructivism. What is Constructivism? "Students need to construct their own understanding of each mathematical concept, so that the primary role of teaching is not to lecture, explain, or otherwise attempt to 'transfer' mathematical knowledge, but to create situations for students that will foster their making the necessary mental constructions. A critical aspect of the approach is a decomposition of each mathematical concept into developmental steps following a Piagetian theory of knowledge based on observation of, and interviews with, students as they attempt to learn a concept." - Calculus, Concepts, Computers, and Cooperative Learning (C4L) It's not surprising that constructivism has a strong voice in the current dialogue on math education. Many are concerned about the success - or lack of success - of math education. Constructivism cuts a nice path between the main ideas that have influenced how math has been taught: the concept of math as facts to be transmitted to the student, and the view that some people have it and some people don't, where the educator's task is to figure out how "smart" students are and choose the right tasks for them to perform. Questions remain, however, about whether these offer rich information for developing different ways of teaching. And what's to be done for the students who aren't succeeding? In contrast, constructivism focuses our attention on how people learn. It suggests that math knowledge results from people forming models in response to the questions and challenges that come from actively engaging math problems and environments - not from simply taking in information, nor as merely the blossoming of an innate gift. The challenge in teaching is to create experiences that engage the student and support his or her own explanation, evaluation, communication, and application of the mathematical models needed to make sense of these experiences. Given this view, there are many approaches to improving teaching: look for different ways to engage individual students, develop rich environments for exploration, prepare coherent problem sets and challenges that focus the model building effort, elicit and communicate student perceptions and interpretations, and so on. We'd like to explore here the theory and applications of constructivism in math education. We invite you to submit your favorite readings, projects, and classroom materials that either point out the pitfalls or demonstrate the opportunities of this theoretical framework. Constructivism in Math Education   Applications and Misapplications of Cognitive Psychology to Math Education - Anderson, Reder, Simon A critical view of constructivism by three leading cognitive psychologists at Carnegie Mellon University. Decomposition and decontextualization; ... more>>   Constructivism and Education: A Shopper's Guide - Moses A. Boudourides A brief review of the various streams of constructivism in studies of education, society, science and technology: philosophical, cybernetic, ... more>>   Constructivism - Classroom Compass The winter 1995 issue of Classroom Compass explores this theory of learning, including a brief literature summary and suggestions for the ... more>>   Constructivism: Vygotsky and the Internet - Mathematics Education at The Math Forum The ideas of Lev Semenovich Vygotsky have sparked considerable thought on the topic of constructivism. The Math Forum has collected a list of links to ... more>>   Essays on Constructivism and Education - Tom O'Haver; Maryland Collaborative for Teacher Preparation An extensive collection of articles on constructivist teaching strategies, change in education, technology in the classroom, hypertext and cognitive ... more>>   Kinds of Constructivism: An Annotated Bibliography - Annie & John Selden; The Math Forum A bibliography prepared by Annie and John Selden as a supplement to "Constructivism in Mathematics Education - What Does It Mean?" - a talk they gave ... more>>   NCTM San Diego Sessions on Constructivism - Mathematics Education at the Math Forum A selection of presentations from the 74th Annual NCTM Meeting, 25-28 April 1996, San Diego, CA. ... more>>   On Constructivism - Susan Hanley "The constructivist approach opens new avenues for learning as well as challenges for the teacher trying to implement it." Hanley outlines problems in ... more>>   Orlando Sessions on Constructivism - The Math Forum The 1996 AMS/MAA Joint Mathematics Meetings in Orlando, Florida featured presentations on constructivism. The goal: to disseminate innovative, ... more>>   Radical Constructivism - Alex Riegler, Ed. People, organizations, and online papers that deal with radical, epistemological, psychological and educational constructivism and second order ... more>> For more, search or browse Constructivism in the Math Forum's Internet Mathematics Library.

[Privacy Policy] [Terms of Use]

Home || The Math Library || Quick Reference || Search || Help