A General Framework for the Use of Open-Ended Problems in Mathematics (abstract only)  

Oleh:

Karabacak, Fatih

Jenis: Article from Proceeding
Dalam koleksi: The International Symposium on Social Sciences (TISSS) and Hong Kong International Conference on Education, Psychology and Society (HKICEPS) at Hongkong, December 2013, page 136.
Topik: thinking in mathematics; problem development; problem solving; problem types
Fulltext: Hong Kong-Conference 13.pdf (111.37KB)

Isi artikel

Problems can be classified in a variety of groups, such as ill-defined problems and welldefined problems and open-ended problems and closed problems. However, problems exist in a continuum from well-defined to ill-defined and from closed to open-ended. Mathematical problems are usually considered to require only one correct method and one correct answer for the solution. Yet, in the world of mathematics, problems vary in kind and mathematical tasks require both finding a problem and a method for solving the problem. In fact, problem finding is believed to require the highest level of creativity. In this sense, mathematics present both closed and open-ended problems. In this presentation, a general framework, the DISCOVER problem matrix, for developing mathematical problems will be discussed and practice problems will be solved. The matrix include six problem types. Problems are classified according to their statement, method and solution. The DISCOVER problem matrix can be used as a tool to develop mathematical curriculum and assessment in mathematics for K12 education.

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