ABSTRACT

Chapter 9 is the second of four chapters devoted to the details of effective mathematics teaching. This chapter explores tools and technology, while the following two chapters go into detail on teaching specific mathematics content, from number sense to algebra, geometry, statistics, and discrete mathematics. The current chapter includes a discussion of the use of classroom materials, beginning with hands-on manipulative materials. Examples are provided for ways that manipulatives can provide visual representations of problems that allow students to make connections. General tips on the practical implementation of manipulatives in the classroom are described. The next section uses specific examples to illustrate the usefulness of diagrams, graphs, and other discussion starters to enhance the teaching-and-learning process. Then, the implementation of classroom technology is explored, including calculators, CAS technology, interactive whiteboards, mobile devices, dynamic geometry software, document cameras, blended classes and flipped classrooms, and virtual teaching. Specific websites and applications are included, with attention paid to determining when it is appropriate to use classroom technology.