Developing geometrical reasoning (original) (raw)

Abstract

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This report highlights the challenges and strategies involved in developing geometric reasoning in secondary school mathematics education. It emphasizes the importance of a well-structured curriculum and the role of teachers in facilitating reasoning and proof development. The study finds that collaborative learning and effective communication are essential for enhancing students' geometric reasoning skills, while also noting the difficulties students face in articulating their reasoning in written form. Recommendations for curriculum design and assessment practices that better capture students' reasoning abilities are presented.

Key takeaways

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  1. Geometry curricula vary significantly across countries, emphasizing different approaches like realistic or theoretical methods.
  2. Geometry plays a crucial role in developing spatial intuition, essential for broader mathematical understanding.
  3. Teachers must facilitate activities that encourage deductive reasoning and proof understanding among students.
  4. Effective geometry instruction requires careful selection of tasks and active teacher involvement to promote reasoning.
  5. Assessment methods inadequately capture students' oral reasoning skills, necessitating improved strategies for evaluating geometrical understanding.

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References (10)

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