Windows into Elementary Mathematics:Alternate public images of mathematics and mathematicians

Research on students’ (and teachers’) images of mathematics and mathematicians reveals a number of stereotypical images, most of which are negative. In this paper we present an overview of some these images and stereotypes and consider the questions: (1) how might the image of mathematics and mathematicians be a problem in mathematics education, and (2) what can be done to remedy the situation? Also, we consider an outreach project called Windows into Elementary Mathematics. In this project mathematicians are interviewed about their perspectives on elementary mathematics topics and their interviews are videotaped and are posted online, along with supporting images and interactive content. In this context we consider the questions: (3) what is the Windows project about, and (4) how might it offer an alternate (and perhaps better) image of mathematics and mathematicians? Lastly, we share an example where activities from the project were used in a math-for-teachers course.

The Use of Vocabulary in an Eighth Grade Mathematics Classroom: Improving Usage of Mathematics Vocabulary in Oral and Written Communication

In this action research study of my mathematics classroom of eighth grade students, I investigated the use of mathematics vocabulary by focusing on improving the usage of this vocabulary in both oral and written communication. I discovered oral communication tended to show more improvements compared to written communication done by the same group of students. As a result of this research, I plan to continue to focus my teaching on the use of mathematics vocabulary in an effort to help my students gain a greater understanding of the daily use of that vocabulary.

CLIL materials in Secondary Education: focusing on the language of instruction in the subject area of Mathematics

[EN]Applying a CLIL methodological approach marks a shift in emphasis from language learning based on linguistic form and grammatical progression to a more ‘language acquisition’ one which takes account language functions. In this article we will study the elements of the “language of instruction” of the area of Maths in Secondary Education, by focusing on the analysis of the communicative functions, and the lexical and the cultural items present in the textbook in use. Our aim is to present the CLIL teacher with the linguistic and didactic implications that he or she should take into consideration when implementing the bilingual syllabuses with their students. In order to do that, we will present our conclusions emphasizing the need for coordination in different content areas, linguistic and communicative contents, between the foreign language teacher and the CLIL subject one.

A causal model of mathematics performance in early adolescence: the role of sex

Using path analysis, the present investigation was done to clarify possible causal linkages among general scholastic aptitude, academic achievement in mathematics, self-concept of ability, and performance on a mathematics examination. Subjects were 122 eighth-grade students who completed a mathematics examination as well as a measure of self-concept of ability. Aptitude and achievement measures were obtained from school records. Analysis showed sex differences in prediction of performance on the mathematics examination. For boys, this performance could be predicted from scholastic aptitude and previous achievement in mathematics. For girls, performance only could be predicted from previous achievement in mathematics. These results indicate that the direction, strength, and magnitude of relations among these variables differed for boys and girls, while mean levels of performance did not.

Marx and the Bible: José Miranda’s Critique of the Philosophy of Oppression

This paper critically examines the liberation theology of José Porfirio Miranda, as expressed in his Marx and the Bible (1971), with a focus on the central idea (and subtitle) of this work: the “Critique of the Philosophy of Oppression.” Miranda’s critique is examined via certain key tropes such as “power,” “justice,” and “freedom,” both in the context of late twentieth-century Latin American society, and in the state of the “post-Christian” and “post-Marxist” world more generally, vis-à-vis contemporary liberal justice theory. Close examination of the potentialities, paradoxes and subtle evasions in Miranda’s critique leads not to the conclusion that Miranda does not go far enough in his application of Christian principles to justice theory.

Physicians' philosophy of care: a comparison of complementary and conventional medicine

BACKGROUND: This project is part of an evaluation of complementary and alternative medicine (CAM) aimed at providing a scientific basis for the Swiss Government to include 5 CAM methods in basic health coverage: anthroposophic medicine, homeopathy, neural therapy, phytotherapy and Traditional Chinese Medicine (TCM). OBJECTIVES: The objective was to explore the philosophy of care (convictions and values, priorities in medical activity, motivation for CAM, criteria for the practice of CAM, limits of the used methods) of conventional and CAM general practitioners (GPs) and to determine differences between both groups. MATERIALS AND METHODS: This study was a cross-sectional survey of a representative sample of 623 GPs who provide complementary or conventional primary care. A mailed questionnaire with open-ended questions focusing on the philosophy of care was used for data collection. An appropriate methodology using a combination of quantitative and qualitative approaches was developed. RESULTS: Significant differences between both groups include philosophy of care (holistic versus positivistic approaches), motivation for CAM (intrinsic versus extrinsic) and priorities in medical activity. Both groups seem to be aware of limitations of the therapeutic methods used. The study reveals that conventional physicians are also using complementary medicine. DISCUSSION: Our study provides a wealth of data documenting several aspects of physicians' philosophy of care as well as differences and similarities between conventional and complementary care. Implications of the study with regard to quality of care as well as ethical and health policy issues should be investigated further.