Thesis (Ph. D.)--Washington State University. / Includes bibliographical references.

Thesis (PhD(Kurrikulumstudies))--Universiteit van Pretoria, 2006. / Abstract in English and Afrikaans. Includes bibliographical references. Available on the Internet via the World Wide Web.

Thesis (M.Sc.)(Mathematics)--University of Pretoria, 2007. / Includes summary. Includes bibliographical references. Available on the Internet via the World Wide Web.

Thesis (M. Sc.)(Mathematics)--University of Pretoria, 2007. / Includes summary. Includes bibliographical references (leaves 102-108).

This study investigates the nature of the mathematical understanding possessed by preservice teachers as they enter Early Childhood and Primary Teacher Education Programmes. The subjects comprised thirty students divided into groups of ten to represent three levels of mathematics competency as measured on a mathematics competency test. Evidence of mathematical understanding was gathered from videotaped interviews in which students were required to provide solutions for a set of six tasks. The analysis of student performance included monitoring students' ability to provide multiple representations for tasks as well as the students' demonstration of connections between mathematical ideas. The results show that preservice teachers entering the Early Childhood and Primary Teacher Education Programmes at the University of Canberra do so with weak understanding of many of the mathematical concepts that are fundamental to primary level mathematics curricula. The type of understanding demonstrated by these students was predominantly instrumental in nature. Differences between groups were found with reference to the amount of confidence and interest displayed during tasks. The implications of these results on mathematics teacher education are discussed. The study identifies the need for alternative assessment protocol for mathematics screening of preservice teachers. Discussion of appropriate techniques for the reconstruction of mathematical understanding is also considered.

Thesis (Ph. D.)--University of Missouri-Columbia, 1999. / Typescript. Vita. Includes bibliographical references (leaves 128-139). Also available on the Internet.

Thesis (Ph. D.)--University of Missouri-Columbia, 1999. / Typescript. Vita. Includes bibliographical references (leaves 128-139). Also available on the Internet.