This research study investigates how pre-service teachers integrate statistical content, students' thinking, and pedagogy as they examine how 11- to 12-year olds develop mathematically. The findings provide insights into: a) how pre-service teachers identify some of the difficulties that students commonly have, and b) what pedagogical approaches…

This volume, a comprehensive survey and critical analysis of today's issues in mathematics education, distills research to build knowledge and capacity in the field. The compendium is a valuable new resource that provides the most comprehensive evidence about what is known about research in mathematics education. The 38 chapters present five…

Describes the process of modifying a program that focuses on computer-directed instruction in a developmental algebra course that was not producing the positive results expected. Emphasizes integrating classroom instruction along with a laboratory, either a computer or classroom laboratory. (Author/KHR)

Reports findings from the team teaching of a course in mathematical problem solving designed for secondary and community college teachers to clarify the concept of ."ecessary and sufficient" conditions. Discusses assigned problems and students' incorrect interpretations. Student interpretations showed how simple mistakes can often lead to rich…

We present a summary of a study carried out with students of the first year of Bachillerato (the first of two pre-university non-obligatory secondary education courses in Spain) to determine and analyse some of their errors and difficulties in learning inequalities with the aim of improving the teaching-learning process of this topic. The study…

This document contains 14 papers selected from those presented at the Seventh Annual Conference of the Research Council for Diagnostic and Prescriptive Mathematics. Categorized as interdisciplinary studies are reports on "Mathematics as an Activity of Our Intelligence" by Skemp and a study on "The Brain Basis of Developing…

Describes learning-disabled algebra classes offered at Bergen Community College, their structure, teaching and learning strategies used in the classes, and successful outcomes. Concludes that students with learning disabilities can learn algebra when their environment focuses on their needs and learning styles. (KHR)

The ability to express one's mathematical thoughts in writing and computational proficiency can be viewed as reflecting different aspects of an individual's understanding of mathematics. Computational proficiency is the primary means used by educators to assess students' understanding of mathematics and thus in the mathematics classroom, cognitive…

This paper brings a teacher's perspective to bear on recent policy initiatives requiring all high school graduates to complete an Algebra One course. The paper is based on the teacher's experience in teaching high school students who have not been successful in mathematics, at Holt High School in Michigan. The teacher is caught between a desire to…

Minorities have for some time been underrepresented in the technical fields, such as engineering and computer science. This development is known to be caused by a variety of factors, but the primary purpose of this report is to help identify those factors that adversely affect the cognitive development of the technical bilingual student in terms…

Math Notebook is a publication issued 10 times a year, with each issue focusing on a particular learning problem in mathematics and its diagnosis and remediation through practical, workable strategies for use by teaches, parents, and tutors. All the articles were written by Mahesh C. Sharma, with the exception of "The Japanese Soroban," by Frances…

This set of five papers, written in German with abstracts in English, was collected by the Institut fuer Didaktit der Mathematik (Institute for the Teaching of Mathematics) at the University of Bielefeld in West Germany. In the first paper, Bauersfeld used a transcript of a videotaped scene of group work out of school as a basis for analyzing…

This fourth yearbook on research on mathematics teaching in Finland contains five articles, four in English and the fifth in German. "Mathematics as a Cognitive Science" (C. Letteri) examines cognitive aspects related to teaching and learning mathematics, with the focus on the different levels of comprehension and an analysis of basic…

This set of five papers, written in German with abstracts in English, was collected by the Institut fuer Didaktit der Mathematik (Institute for the Teaching of Mathematics) at the University of Bielefeld in West Germany. In the first paper, Bauersfeld considers domains of subjective experiences as the best issue for an interactive theory of…

This document presents the proceedings of the 31st Annual Conference of the Mathematics Education Research Group of Australasia (MERGA). The theme of this conference is "Navigating Currents and Charting Directions." The theme reminds us that, although we are constantly pushed to account for the quality and impact of our research, we…