**Different Cultures-Different Approaches to Reasoning and Algorithms in Mathematics**

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**This module is part of:**

- Personal dimension: values, attitudes and intercultural competences of prospective teachers.
- Mathematics and Science Subject dimension: (inter)cultural perspectives on the subjects themselves.
- Mathematics and Science Education dimension: pedagogical issues, in particular in respect to dealing with diversity in classrooms.

**General overview and aim**

In this module pre-service teachers are introduce to intercultural learning in mathematics using different definitions. For teacher educators we offer a short and extended version of the training module. Teacher educator can take part of activities that are most suitable for students.

**Background**

For preparation future teachers it is important to pay attention on students different background and experience, their cultural aspects should be appreciated. Students may perform better in mathematics when the key concepts are grounded in contexts especially recognisable from students’ daily life.

**Aim**

The aim of this module is:

- Introduction into the topic ‘reasoning and algorithms in mathematics’
- Theory and background is based on:
- the role of contexts in reasoning and algorithms in mathematics, understanding ethnomathematics
- reasoning and algorithms in mathematics by Seymour Papert

- Connecting theory to educational practice in reasoning and algorithms in mathematics
- studying specific examples including practical activities
- problem solving: algorithms
- building knowledge by using constructionism method

**Relevant topics**

- Theory and background on the use and benefits of contexts to enhance concept development for student in different approaches for reasoning and algorithms in mathematics.
- Background on Intercultural perspectives on reasoning and algorithms in mathematics, including ethno-mathematics.
- Connecting theory to educational practice in reasoning and algorithms in mathematics, by
- discussing different texts about mathematical reasoning;
- studying specific examples;
- exploring sources of culture-related contexts;
- problem solving using different approaches of reasoning and algorithms;
- analysing textbooks and identifying examples and opportunities to use culture-related contexts;
- building knowledge using constructionist approach

**Learning Outcomes**

Through this module prospective teacher will:

- Investigate the understanding different approaches of reasoning and algorithms in mathematics.
- Explore different approaches of reasoning and algorithms in mathematics that illustrate contributions from different cultures.
- Learn to appreciate and respect the rich applications of mathematics and algorithms contributed by different cultures;
- Experiment with and reflect on the use of tasks and different approaches of reasoning and algorithms in mathematics.
- Develop skills to refer to examples from various approaches and different cultures when trying to raise interest for mathematics and algorithms in their future classrooms.
- Support of the view that practicing different algorithms we develop a deeper understanding.
- Invoke computers and other technologies to support problem solving using different approaches for reasoning and algorithms in mathematics
- Develop pedagogical approaches which promote an open minded and appreciative attitude towards the use of different approaches in reasoning and algorithms in mathematics and allow cultural variety.

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**Materials also available in other languages: ελληνικά, Lietuviškai**