This project was designed to address gender issues in mathematics education. The author's findings led her to conclude that students construct their own understanding and knowledge as a result of activities in the classroom. Constructivism, a theory of knowledge based on the idea that people construct their own realities by interacting with the…

Presents an article featured in the March issue of "Mathematics Teaching" that discusses the necessary components of active learning in mathematics classrooms. Considers constructivist framework for analysis of mathematical learning activities that need to be carried out with consideration of aspects of presentation, the nature of pupils' mental…

Shares experiences of teaching probability from a constructivist perspective. Discusses the role of cognitive conflict, teaching the unit, and evaluation processes. (ASK)

Describes a mathematics teacher's experience and change from a traditional behaviorist dispenser of knowledge to a constructivist facilitator of meaning during professional development. Compares the stages of teacher development metaphorically to the stages of a butterfly. Contains 11 references. (ASK)

Presents created letters and responses from a character representing an authority to develop ways of teaching what constructivism is and ways to address the obstacles that teachers might face in adapting a mathematics reform and constructivist approach in the classroom. Contains 16 references. (ASK)

Considers the idea of "intentional knowledge" and the difference in nature between "knowledge" as a construct of society, and 'knowing' as construct of an individual. Discusses how the theory of didactical situations differs from other constructivist theories with regard to the notion of "intentional knowledge." Uses two cases to illustrate the…

This document focuses on how mathematics teaching and learning can be improved by developing more powerful approaches to connect thinking and mathematics. It proposes changing perspectives on what it means to learn and do mathematics and explores how these perspectives can be incorporated into the teaching of secondary school mathematics. Chapter…

Discusses the need for reform in teacher evaluation, current practice, implementing the Professional Teaching Standards of the National Council of Teachers of Mathematics, and the relationship between teacher evaluation and constructivist views of learning. (MKR)

Describes a lesson designed to teach the probabilistic topics of permutation and combinations in a constructivist manner. (ASK)

This paper argues that the shift from behaviorist learning theories to constructivist and social constructivist theories provides an opportunity to develop a hybrid model of mathematics instruction for students with learning disabilities. The proposed model embeds important skill learning in meaningful contexts. Evaluation data on such embedded…

Since assessment is intimately linked with instruction, it too is changing under the wave of numerous efforts at reforming mathematics and science education. From this new perspective, the learner actively constructs personal meaning from information and experiences by linking new information with his or her pre-existing knowledge and…

Presents evidence from data on how well five first-grade classes did without any formal instruction showing that if children's numerical reasoning is strong, then formal instruction of missing addends is unnecessary. Explains the findings in light of Piaget's constructivism and discusses educational implications. (ASK)

Presents conversations from series of lessons in which the power of mathematical conversations was epitomized and fourth-grade students were encouraged to make conjectures to their classmates. Describes how each conversation offered insights into the ways in which students had constructed mathematics. (ASK)

This article describes constructivist techniques for teaching concepts of decimals and metrics through the combination of innovative measuring tools, activities and videos in classrooms. Even though the chronological age of the students involved differed--fifth and sixth graders or pre-service teachers--it was discovered that similar activities…

Presents a teacher's experiences with teaching fractions by employing the constructivist approach. Concludes that children will go much further with depth, pleasure, and confidence if they are allowed to construct their own mathematics to make sense to them every step of the way. (ASK)