Shadow Puppets: Exploring a Context for Similarity and Dilations

  • Shadow Puppets: Exploring a Context for Similarity and Dilations

    Anna F. DeJarnette, Sahid L. Rosado Lausell, and Gloriana González
    Turn a typical geometry problem into a great task that promotes students’ reasoning and sense making.
    How can geometry teachers design great tasks that allow students to make connections among interrelated concepts and expand their geometric reasoning skills? Many curricular materials provide problems for students to apply a single geometric concept. However, these problems do not always promote reasoning opportunities for students, because students may not look for connections with other geometric ideas or explore alternative solution strategies. For classroom teachers, this detachment raises an important question: What does it take to transform a typical geometry exercise into a great task to promote students’ geometric reasoning and sense making?