This paper argues that discussions of diversity often avoid the issue of race. Further, it maintains that diversity and structural backlashes to it in the United States in social and economic life shape and are shaped by crises in mathematics education. Attention is paid to the lack of instructional diversity in mathematical problem types and to…

This paper focuses on the cultural aspects of research in mathematics learning. The shift to a more socio-cultural emphasis in mathematics education research is valid. The paper explores this point by examining challenges to the former research paradigm. These challenges include culturally-based mathematical knowledge and hidden values in…

This paper presents a synthesis of recently published case-studies in mathematics education research on students' mathematical thinking, and provides analyses, with respect to that literature, of video vignettes of high school students' mathematical activities as they participate in a two-week precalculus institute. We questioned whether emergent…

Because cognition is the core substance of understanding and sense making, cognition-based assessment is essential for understanding and monitoring students' development of powerful mathematical thinking. The Cognition-Based Assessment System (CBAS) project is applying the results, theories, and methods of modern research in mathematics education…

This paper is based on research work carried out in the Foundation Course in Mathematics at Goldsmiths College, University of London. The theme of the investigation was to investigate the hidden faces of cubes placed on a table. In order to do this, the following investigational teaching styles and learning strategies were adopted: investigate…

The main purpose of this study was to look at how we used specific writing assignments in our courses to encourage metacognitive reflection in order to increase the learning that takes place. The study also aimed to aid in the development of higher order processing skills through the development of student reflection. The students involved in the…

This paper gives a brief introduction to a discipline called the cognitive science of mathematics. The theoretical background of the arguments is based on embodied cognition and findings in cognitive linguistics. It discusses Mathematical Idea Analysis, a set of techniques for studying implicit structures in mathematics. Particular attention is…

This paper provides a glimpse into the positive effect on student learning as a result of empowering a classroom teacher of 20 years (Andrea) with subject matter knowledge relevant to developing fraction understanding. Having a facility with fractions is essential for life skills in any society, whether metricated or non-metricated, and yet…

Arguing that rapid developments in technology and changing enrollment patterns make updating the skills of two-year college mathematics faculty an imperative, this paper discusses the ways in which the continuing education needs of faculty members can be met. First, technological developments, especially in the computer sciences, are reviewed, and…

The purpose of this study was to examine several of the leading journals in science education in order to determine how many of the research studies reported contained followups of a retention nature. Four journals were examined: (1) Journal of Research in Science Teaching, (2) Science Education, (3) Journal of College Science Teaching, and (4)…

This study describes the emerging mathematical understanding of one student enrolled in an elementary mathematics content course. Through the medium of her journal entries, a portrait of Elena's struggle to overcome her difficulty with mathematics and construct conceptual knowledge emerges. Though these struggles are not unique, Elena's story is…

This document contains the following papers on issues related to mathematics in technology and teacher education: "A Case for Strong Conceptualization in Technology Enhanced Mathematics Instruction" (Michael L. Connell and Delwyn L. Harnisch); "Faculty/Student Collaboration in Education and Math--Using the Web To Improve Student…

This speech addressed the issue of educating minorities in the mathematical sciences. The speech is based on six regional workshops, and the national convocation of the Mathematical Sciences Foundation Board (MSEB). The introduction establishes the need for all students to become involved in the area of mathematics, and particularly minority…

One theme of current research about higher education students of mathematics concerns those who fail. At our institution, some of the entrants are students who have previously failed in mathematics; others come to us with a comparatively weak mathematical background. Most of these students go on to become confident and effective mathematicians,…

This paper describes mathematical modeling activities from a secondary mathematics teacher education course taken by fourth-year university students. Experiences with mathematical modeling are viewed as important in helping teachers develop a more intuitive understanding of mathematics, generate and evaluate mathematical interpretations, and…