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The Question of Knowing Others:Doing Research in Mathematics Education
Research Mathematics Education
2008/4/8
Research, we all know, is a motor for making a difference. Given that understanding, it is no surprise that much of the strategic thinking about educational research has been prompted by the idea of t...
MATHEMATICAL SOPHISTICATION AND EDUCATIONAL PHILOSOPHIES AMONG NOVICE MATHEMATICS TEACHERS
SOPHISTICATION EDUCATIONAL PHILOSOPHIES
2008/4/8
This study investigated the mathematical sophistication and educational beliefs of novice secondary mathematics teachers. Five high school mathematics teachers answered structured interview questions ...
THREE PHILOSOPHICAL PERSPECTIVES ON LOGIC AND PSYCHOLOGY: IMPLICATIONS FOR MATHEMATICS EDUCATION
LOGIC PSYCHOLOGY
2008/4/8
Presuppositions regarding the proper relationship between logic and psychology are deeply embedded in any educational philosophy or theory regarding curriculum and instruction. Educational philosopher...
1.1.Focus of study
This study aims to make a systematic enquiry into the public's images of mathematics and the possible causal factors of influence on the formation of these images. In this study, t...
EARLY MATHEMATICS EDUCATION:A CASE OF THE BLIND LEADING THE BLIND?
EARLY MATHEMATICS EDUCATION BLIND LEADING
2008/4/8
The study of mathematics exemplifies the intellectual quest for comprehensive and consistent thinking. Today this quest, as bequeathed to us by the Greeks, has been abandoned in mathematics education ...
Teachers' Conceptions of Mathematics and their Instructional Practices
Teachers' Conceptions Mathematics
2008/4/8
In this paper will discuss teachers' conceptions about the nature of mathematics and its influences on their teaching practices through the relevant literature. It will particularly refer to Hersh (19...
MATHEMATICS EDUCATION AND SOCIAL PHILOSOPHIES OF MATHEMATICS
MATHEMATICS EDUCATION SOCIAL PHILOSOPHIES
2008/4/8
The present work is an attempt to understand the social philosophies of Mathematics of Paul Ernest's Social constructivism as a philosophy of mathematics. It seeks a comprehension of what Paul Ernest ...
PHILOSOPHICAL PERSPECTIVES ON PROOF IN MATHEMATICS EDUCATION
PHILOSOPHICAL PERSPECTIVES MATHEMATICS EDUCATION
2008/4/8
This research reviewed literature on proof in mathematics education. Several views of proof classified and identified such as psychological approach, (Platonism, empiricism), structural approach, (log...
CONSENSUS AND COHERENCE IN MATHEMATICS - HOW CAN THEY BE EXPLAINED IN A CULTURALISTIC VIEW?
CONSENSUS COHERENCE IN MATHEMATICS
2008/4/8
In the more recent philosophy of mathematics, mathematics is seen as a cultural product. In this view, it is not easy to explain the high level of coherence of mathematical theories and concepts and t...
PRAGMATIC PERSPECTIVES ON MATHEMATICS DISCOURSE
PRAGMATIC PERSPECTIVES MATHEMATICS DISCOURSE
2008/4/8
Within the psychological tradition, analysis of students' utterances has focused on the 'transactional' function of language in the expression of 'factual' propositional content. The clinical intervie...
BELIEFS ABOUT WHAT EXPLAINING WHY MEANS FOR A STUDENT IN A MATHEMATICS CLASSROOM: A CASE STUDY
A CASE STUDY MATHEMATICS CLASSROOM
2008/4/8
It is frequently observed in mathematics classrooms that when a student is asked to provide the rationale behind a procedure or idea, he/she tends to give a how explanation rather than a why one. For...
MISCONCEIVING OR MISNAMING?: SOME IMPLICATIONS OF TODDLERS’ SYMBOLIZING FOR MATHEMATICS EDUCATION
MATHEMATICS EDUCATION IMPLICATIONS
2008/4/8
Children’s errors in the mathematics classroom are frequently attributed to their holding misconceptions faulty or incomplete understandings. This paper explores the role that language may play in stu...
THE CULTURE OF MATHEMATICS LEARNING IN TWO CHINESE PRIMARY SCHOOLS: Drill and Practice
Drill Practice
2008/4/8
This paper aims to discuss some preliminary findings of two case studies, which were part of a bigger research project exploring the culture of m athematics teaching and learning in some Malaysian sch...
The paper discusses major philosophical stances on the nature of mathematics as held by foundationalists and quasi-empiricalism supporters. It is argued that the contrasting philosophical views betwe...
Much can be learned about theories in mathematics education and elsewhere by examining their underlying metaphors. Elsewhere I have compared the underlying metaphors of mind of various learning theori...