\input zb-basic
\input zb-matheduc
\iteman{ZMATH 2015e.00402}
\itemau{Whitney, Stephanie R.}
\itemti{The road less traveled.}
\itemso{Math. Teach. Middle Sch. 20, No. 2, 98-104 (2014).}
\itemab
Summary: Stephanie Whitney teaches in the department of teacher education at DePaul University in Chicago, Illinois. Her interest is in how students reason and make sense of mathematics, and how teachers can promote this behavior. Students should engage in reasoning and sense making daily in their mathematics classes. It is often through students' divergent thinking as they work on novel mathematical tasks that they make important mathematical connections and that teachers learn about their understandings. Creating opportunities for students to explore allows them to experience mathematics as a connected whole, as opposed to viewing the subject as a series of discrete pieces of information that must be committed to memory. Given mathematical tasks and learning environments that foster opportunities for students to translate among representations, students will develop connected understandings and strong foundations for how to read, interpret, and understand the relationships among tables, graphs, equations, and context in their algebra class. In the cases presented in this article, the answer to the problem was not as important as the students' thinking as they pursued a solution. As with a walk in the woods, solving problems in math class should be as much about the journey as the destination -- and that can make all the difference. (ERIC)
\itemrv{~}
\itemcc{D53 C33 H33 I23}
\itemut{mathematical thinking; problem solving; reasoning; sense making; mathematical connections; representations; equations; functions; data tables}
\itemli{http://www.nctm.org/publications/article.aspx?id=43056}
\end