Principal component analysis (PCA) is one of the most important and powerful methods in chemometrics as well as in a wealth of other areas. Running a PCA results in two main elements, the score plot and the loading plot; the score plot provides the location of the samples, and the loading plot indicates correlations among variables, the trends in…

This article describes activities in which students sample, investigate, classify, and compare characteristics (i.e., texture, color, density, porosity) of local soils, evaluating whether the soils are healthy or at risk. Students investigate correlations between geology and geography, predict which soil types may go extinct in their state, and…

There are five words that are critical to an appreciation of what is "typical" in data sets that students encounter across the middle school years. The first three words--mean, median and mode--are nouns that define measures of typicality in data sets. The next two words--categorical and numerical--are adjectives that describe the types…

Organization is believed to be related to understanding and memory. Whether this belief was applicable in biochemical education was examined about two years after students had experienced biochemistry classes in their first year. The ability of organizing information in biochemistry was judged from the number of correct links of 886 biochemical…

Many children enjoy collecting items such as seashells, state quarters, and trading cards. Asking students to think about the ways in which similar items differ, how objects can be grouped by a common characteristic, and how groups can be subsets of a larger category leads to an understanding of fundamental mathematics and science concepts: sets,…