Recreational Mathematics - Only For Fun?

In this paper, I explore recreational mathematics from two perspectives. I first study how the concept appears in educational policy documents such as standards, syllabi, and curricula from a selection of countries to see if and in what way recreational mathematics can play a part in school mathematics. I find that recreational mathematics can be a central part, as in the case of India, but also completely invisible, as in the standards from USA. In the second part of the report, I take an educational historical approach. I observe that throughout history, recreational mathematics has been an important tool for learning mathematics. Recreational mathematics is then both a way of bringing pleasure and a tool for learning mathematics. Can it also be a tool for social empowerment?

Children’s conceptions about mathematics and mathematics education

This paper deals with younger students’ (grade 2 and 5) conceptions about mathematics and mathematics education. The questionnaire consisted of three parts: (1) statements with a Likert-scale; (2) open-end questions where the students could explain further their conceptions; and, (3) a request to draw a picture of yourself doing mathematics. The results from the statements were summarised and the pictures were analysed. Most students in grade 2 had a positive attitude towards mathematics whereas a larger proportion in grade 5 gave negative answers. All students presented mathematics as an individual activity with a focus on the textbook. The elder students narrow the activity down to calculating. A post-questionnaire confirmed the results.

Upper secondary school students' gendered conceptions about mathematics

This study explores Swedish Natural Science students' conceptions about gender and mathematics. I conducted and compared the results from two questionnaires. The first questionnaire revealed a view of rather traditional feminities and masulinities, a result that did not repeat itself in the second questionnaire. There was a discrepancy between the traits the students ascribed as gender different and the traits they ascribed to themselves.

Prospective teachers’ conceptions of what characterize a gifted student in mathematics

This paper explores Swedish prospective teachers’ conceptions of what characterise a gifted student in mathematics. This was studied through a qualitative questionnaire focusing on attributions. The results show that a majority of the students attribute intrinsic motivation to gifted students, more often than extrinsic motivation. Other themes were other affective factors (e.g. being industrious), cognitive factors (e.g. easy to learn), and social factors such as good behaviour and background.

Teaching Mathematics in English to Swedish Speaking Students : A systematic review of strategies for teaching mathematics to second language learners

The Swedish government has authorised the teaching of mathematics in English to Swedish speaking students. Much of that teaching is performed by foreign trained native English speaking teachers lacking training in second language learners. This systematic review summarises international studies from the last ten years that deal with the teaching of mathematics to second language learners. The review shows that second language students working in a bilingual environment achieve higher rates of content and language knowledge than learners in a monolingual environment. This study also summarises some of the teacher practices that are effective for teaching mathematics in English to second language learners.

Teaching Mathematics in English to Swedish Speaking Students : The Use of Second Language Teaching Practices in the Teaching of Mathematics in English to Swedish Speaking Students in Lower Secondary School

Over 20,000 Swedish lower high school students are currently learning mathematics in English but little research has been conducted in this area. This study looks into the question of how much second language learner training teachers teaching mathematics in English to Swedish speaking students have acquired and how many of those teachers are using effective teaching practices for second language learners. The study confirms earlier findings that report few teachers receive training in second language learning but indicates that some of the teaching practices shown to be effective with second language learners are being used in some Swedish schools

Índia e crescimento: modelos tradicionais e impacto da filosofia hindu

A Índia, com sua notável expansão econômica, cultura e filosofia milenares, é o tema desse trabalho, com dois objetivos: exemplificar diversos aspectos teóricos ligados ao crescimento econômico e aprofundar o estudo de um aspecto institucional pouco difundido na literatura, os impactos das filosofias religiosas. A princípio, são analisadas as reformas econômicas realizadas após a crise do balanço de pagamentos ocorrida em 1991. Diversos estudos teóricos são citados ao longo do texto para contextualizar o efeito das reformas no potencial de crescimento. O setor externo é analisado com profundidade, seguido pela desregulamentação no setor privado, principalmente na atividade industrial e no controle de preços. Estes dois setores foram conjuntamente responsáveis pelo grande salto de produtividade na economia (descrito pelos impactos na produtividade total dos fatores). Alguns aspectos de política monetária e fiscal também são analisados, mas com menor ênfase, visto que as reformas e resultados nesses setores são limitados. A seguir, apresenta-se análise sobre a filosofia Hindu, predominante no país. Introduz-se o tema com breve descrição dos aspectos filosóficos, para seguir com avaliação dos impactos econômicos resultantes. Max Weber e Amartya Sen contradizem-se sobre o sinal do impacto: Weber suportando que a magia hindu impediria o racionalismo; Sen argumentando que o próprio hindu��smo tem histórico de racionalismo heterodoxo, de contestação e criação. Para disseminar dúvidas apresenta-se um modelo econométrico, com base em convergência condicional: impactos diretos e indiretos não se mostram significantes. Levanta-se um debate e um alento a alguns países: um histórico institucional bastante desalentador ao desenvolvimento, baseado em uma filosofia religiosa controversa de nuances pós-vida, pode ser superado com algumas corretas reformas na economia.

Structuralism and the Applicability of Mathematics

In this paper I argue for the view that structuralism offers the best perspective for an acceptable account of the applicability of mathematics in the empirical sciences. Structuralism, as I understand it, is the view that mathematics is not the science of a particular type of objects, but of structural properties of arbitrary domains of entities, regardless of whether they are actually existing, merely presupposed or only intentionally intended.

Mathematics teaching life histories in the study of teachers' perceptions of change

The aim of this paper is to discuss teachers' perceptions of change in their thought and/or practice over time and their perceptions of what kind of experiences or challenges might have influenced those changes. Two mathematics teaching life histories of Brazilian teachers are examined, considering a context of curriculum development in the state of São Paulo, Brazil. Reflection on teachers' thought and practice and interest in their own development, including interest in their own learning of mathematics, seemed to be the most important internal aspects influencing change and development. Close support seemed to be the most important external aspect. The retrospective analysis put a good face on personal change and development. (C) 2000 Elsevier B.V. Ltd. All rights reserved.