Conclusion
If we would go further in this direction, we should discover more examples of vector spaces comprehensible to young children. After they have met with several examples, it would be possible to offer them the axiomatic concept of vector space, which can serve as a firm foundation for geometry.
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Colomb and Glaymann, M.: 1969, Jeux algébriques (document pour la télévision; IPN, premier trimestre 1969).
Duvert, Gauthier, and Glaymann, M.: 1969, Travaux Pratiques de Mathématique. Tome III: Les lois de composition. OCDL.
Glaymann, M.: 1968, ‘Un modèle d'espace vectoriel et son utilisation pour coder et décoder un message’, Journal of Structural Learning.
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Glaymann, M. Initiation to vector spaces. Educ Stud Math 2, 69–79 (1969). https://doi.org/10.1007/BF00368986
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DOI: https://doi.org/10.1007/BF00368986