Problem solving is one of the main competences we seek to teach students at school for use in their future lives. However, when dealing with mathematical problems, teachers encounter a wide variety of difficulties. To foster students' problem-solving skills, the authors developed "strategy keys." Strategy keys can serve as material to…

Everyone needs strong observational skills to solve challenging problems and make informed decisions. However, many students expect to find exact answers to their questions by using the internet and do not understand the role of uncertainty, especially in decision making and scientific research. Humans and other animals choose among many options…

As teachers seek activities to assist students in understanding division as more than just the algorithm, they find many examples of division as fair sharing. However, teachers have few activities to engage students in a quotative (measurement) model of division. Efraim Fischbein and his colleagues (1985) defined two types of whole-number…

The phenomenon of outbreaks of dangerous diseases is both intriguing to students and of mathematical significance, which is exactly why the authors engaged eighth graders in an introductory activity on the growth that occurs as an epidemic spreads. Various contexts can set the stage for such an exploration. Reading adolescent literature like…

Word walls are designed to serve as visual scaffolds and are a common classroom tool used to support reading and language arts instruction. To support vocabulary development in science and support students who are ELLs, Husty and Jackson (2008) created interactive word walls that resemble semantic maps (Masters, Mori, and Mori 1993). Semantic maps…

Given a 5-peg by 5-peg geoboard, how many different lengths can be made by stretching a rubber band to form an oblique segment between any two pegs? This investigation requires students to make connections to the Pythagorean theorem, congruence, and combinations. With its use of visual representation and a range of mathematical ideas that can be…

The article describes a unit for seventh-grade students, using children's literature to teach visual, auditory, and algebraic patterns. (Contains 7 figures.)