Literature Index

Students should gain an insight into the usefulness of what they have learned in class such as the applicability of formulae, ideas, and methods. They should also have the opportunity of developing hypotheses and proving theorems. Probability theory and statistics provide many suitable ways for learning about these concepts. Students will be motivated to learn mathematics by using it to solve real problems. Consider, for example, a discussion of the risks associated with nuclear reactors - we should all be able to critically evaluate official statements and the arguments of so-called experts which are based on apparently legitimate mathematical methods. Looking at real applications in mathematics lessons, students get an insight into the part mathematical sciences play in the real world. We shall give three examples to illustrate our ideas.

This article provides real life examples that can be used to explain statistical concepts. It does not attempt to be exhaustive, but rather, provide a few examples for selected concepts based on what students should know after taking a statistics course

This article describes the use of regression in middle school grades and Algebra 1 settings to connect algebraic functions to real-world contexts. It is suggested that using data sets will intrigue and motivate students.

This article describes two projects in which we attempted to help Advanced Placement (AP) statistics students become proficient at moving through the investigative cycle. Although the projects were implemented in an AP class, they could be included as part of any class in which linear equations and best-fit lines are studied. As we describe the two projects, we also discuss some of our reflections on the extent to which the projects helped our students become more proficient. In the first project, the students focused on the data analysis and inference phases. In the second project, the students had the opportunity to experience all phases of the cycle.