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Mathematics, by its very nature, is a science based on metacognitive skills. Nowadays, pure meaningless knowledge is described as easy to attain but useless unless you know how to use it. Since being able to make knowledge relevant, use it and find solutions to problems is valuable today, problem solving and problem posing are paramount skills. This book entitled "Solving and Posing Mathematical Problems - Problem Solving Strategies and Mathematical Problem Posing Competence" aims to present qualitative research work. It was carried out with eight students in their first year of high school, on the factors affecting their mathematical problem-solving and problem-posing skills. The results of this study have important implications for the teaching of problem solving and problem posing in mathematics, and can help teachers to better support their students in developing their skills in this area.
Mathematics education is a constantly evolving field, with new approaches and techniques emerging to improve the teaching and learning of mathematical concepts. One of the key factors in effective mathematics education is the use of appropriate teaching materials and tools. This book is a comprehensive guide to the selection, design, and use of materials and tools in mathematics education. Materials and tools make mathematics more "concrete" and provide a concrete representation of abstract concepts. Indeed, as mathematics is an abstract science, mathematical objects are also abstract. Concrete representations of mathematical objects allow students to make sense of these abstract objects. The use of materials and tools must be considered in this perspective as an opportunity to provide a concrete representation of a mathematical concept. The greatest pedagogical value of materials and tools is that they allow the student to live a mathematical experience consistent with his own cognitive development, outside the didactic authority of the teacher. This book is aimed at mathematics educators, curriculum developers, and anyone interested in improving mathematics education.
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