This study focuses on teacher's Knowledge for Teaching Mathematics with Technology (KTMT), paying a special attention to teacher's representational fluency. It intends to characterize how the teacher uses and integrates the different representations provided by the graphing calculator on the process of teaching and learning functions at the high…

This book's 28 chapters are adapted and updated from articles published in NCTM's "Journal for Research in Mathematics Education" between 2000 and 2010. The authors have rewritten and revised their work to make it clear, understandable, and--most of all--useful for mathematics teachers today. To help teachers even more, these articles…

This article presents a case study of one pre-service secondary school mathematics (PSSM) teacher taken from a larger study within an English-speaking Caribbean context. The major goal of the larger study was to investigate the experiences and perceptions of the PSSM teachers as they explored the graphing calculator and mathematics software in…

Analyzes the development of one student's understanding of vector magnitude and how her problem solving was mediated by use of the absolute value graphics calculator function. (Contains 35 references.) (Author/ASK)

Presents an inquiry into students' conceptual development of a graphics calculator function for direction. Discusses reflective thinking and reflective enculturation, operational and structural understanding, and situated abstraction. (Contains 33 references.) (Author/ASK)

Identifies a number of algebraic constructs that emerge from conducting investigations in a Logo environment. Details the intellectual struggle of a number of students as they interact with the environment. Reports on the development of a series of comparative case studies with seven students enrolled in an online talent education development…

Assumptions: Today, when technology has taken its place in almost all classrooms in schools and colleges across the country, there is a need to know how technology "influences the mathematics that is taught and enhances students' learning" (NCTM, 2000, p. 24). Rationale: This presentation describes qualitative study which purpose was to…

Examines the struggles of Kyle, a 30-year-old male, to overcome his innumeracy and to master the routine numerical tasks associated with daily life. Describes Kyle's arithmetic and problem-solving skills and the intervention program designed to develop his ability to solve everyday problems. (Contains 12 references.) (MDH)

An experienced mathematics teacher in a rural high school in the United States was studied as she first implemented a reform calculus curriculum. Her instruction was compared to her previous practice using a curriculum not constructed with the reform movement in mind. Despite her early attempts to make her instructions more student-centered, the…

The mathematics education community, in its call for reform, underscores the importance of mathematics instruction emphasizing the use of multiple representations in the presentation of concepts. The focus of the study was how teacher beliefs affect their ability to implement a multiple representations curriculum. The novice instructor's attitude…

This report on the Adult Math Skills Project includes sections on theory, empirical studies, and their implications. Section 1 presents an overview, noting that activity and setting are seen as mutually creating, sustaining, and changing the nature of problem solving. The empirical studies involved: (1) arithmetic practices among grocery shoppers;…

The first volume of these conference proceedings includes an introductory talk (on why statistics should be taught), three plenary papers (discussing stochastics at the school level in the age of the computer, optimum balance between statistical theory and applications in teaching, and the relevance of statistical training), and 35 invited papers.…

This book looks at how practitioners have focused on the fully educational application of intellect to the problem of developing mathematical thinking among one's pupils. Each chapter demonstrates reflective minds at work, relying on close observation, willingness to understand the student's thinking processes and patient commitment to students…

This document is the fourth volume of the proceedings of the 29th Conference of the International Group for the Psychology of Mathematics Education. Conference papers are centered around the theme of "Learners and Learning Environments." This volume features 42 research reports by presenters with last names beginning between Mul and Wu:…

The first volume of the 29th annual conference of the International Group for the Psychology of Mathematics Education contains plenary lecture and research forum papers as listed below. Short oral communications papers, poster presentations, brief summaries of discussion groups, and working sessions are also included in the volume. The plenary…