Theoretical Problem Solving & Processes In general use the term theory is often used as being equivalent to concept or hypothesis; that is, any abstraction. In everyday language, theory may also be used as a speculation or even a wild guess and may bear no relation to any facts. In science, the term theory is used in a more restricted sense—it describes and explains using non-observable entities and processes and makes testable predictions. However, there are some differences in usage in the different sciences. For most sciences like chemistry and physics, theory means a set of fundamental non-observable ideas that are supported indirectly by a body of empirical knowledge. In physics the term theory is more often used to discuss the formation of a grand, unifying idea that could bring together, for example, separate concepts used to explain gravitational, electromagnetic, and nuclear force fields. In most sciences, theories are based on non-observable ideas and scientific laws are broad statements of well-established empirical knowledge. In contrast, the term theory in biology is sometimes used as being equivalent to the word hypothesis—a tentative concept. In biology, a scientific law may be a well-established theory; i.e., theories become laws. Recognizing these different approaches is an important start to sorting out useful definitions for these terms. As used here, laws and theories are parallel concepts used to describe, explain and predict. An empirical way of knowing (using observables) yields empirical concepts, such as generalizations, empirical definitions and laws. A theoretical way of knowing (using unobservables) yields theoretical concepts, such as described below. Classification of Theoretical Knowledge Four levels of theoretical knowledge can be classified based on the more common scientific use of theory and theoretical as referring to non-observables entities and processes. Chemistry is the discipline that makes most use of (and has the most need for) the distinction between theoretical and empirical knowledge. Parallel streams of empirical knowledge (e.g., laws) and theoretical knowledge (e.g., theories) are common. Type theoretical description theoretical definition theoretical hypothesis theory 687320513 Meaning a specific statement based on a theory a general statement that characterizes the nature of an entity or system in terms of non-observables a theoretical concept that is tentative a concept or set of ideas that explains a large number of observations in terms of non-observables Example chemistry: a water molecule contains two hydrogen atoms and one oxygen atom chemistry: an acid donates protons in an acid-base reaction biology: cellular respiration as defined by the Krebs cycle physics: dark matter comprises most of the mass in the universe geology: plate tectonics (large sections of Earth’s crust riding on a fluid-like layer) chemistry: atomic theory; acid-base theory; electrochemical theory www.CRYSTALAlberta.ca 1/2 Communication of Theoretical Knowledge As indicated above theoretical knowledge can be communicated as theoretical descriptions, theoretical definitions, theoretical hypotheses, and theories. However, in modern science, many theories are very abstract and much of the theoretical knowledge is expressed, whenever possible, as abstract mathematical equations. Most humans need to a way to visualize these theories and this is especially important in science education. Using various devices to communicate theoretical knowledge requires some form of “representation”. The theory is re-presented in a different way—a way that usually emphasizes the descriptive qualities and limits the explanatory abilities. A model is a diagram or apparatus used to simplify the description of an abstract idea. For example, marbles in a vibrating box could be used to describe and explain the three states of matter. A small heavy ball creating a depression in a stretched rubber sheet can be used to visualize the distortion of space around a star in Einstein’s theory of relativity. The main advantage of a model is that it communicates (usually in a visual way) an important idea; the main disadvantage is that it oversimplifies and limits the theory. Two language devices (figures of speech) are also commonly used to help communicate theoretical knowledge. An analogy is a comparison to something more familiar. For example, atoms compared to billiard balls, and enzyme action compared to a lock and key. A metaphor is a more complex figure of speech in which one thing is spoken of as if it were another; for example, life is a roller coaster, full of ups and downs. The image generated is often vivid and insightful, but not necessarily logical. A prevailing metaphor in science is that of a physical mechanism; for example, the universe as a mechanical system and the human body as a machine. Some people argue that all or most of science is a metaphor; we think and learn using metaphors. Theoretical Problem Solving Scientists are sometimes classified as empiricists and theoreticians. Empirical scientists specialize in laboratory or field work. They gather evidence to test hypotheses and predictions. Theoretical scientists specialize in describing and explaining natural phenomena in terms of unobservable entities and processes. They also make predictions based upon their theories, although they might depend on the empiricists to complete the tests for them. Theoretical problem solving primarily involves working with abstract ideas about nonobservable entities and processes. For example, a theoretician might try to create a theoretical description and explanation for the rusting of iron or for cellular respiration. They might look at the evidence gathered in the laboratory and try to envisage the transfer process of electrons between the entities involved. The theory that is created is tested by its descriptive power, its explanatory power, and its predictive power. Note that it is easier to describe than explain and it is generally easier to explain than predict. The evaluation of the theory involves these three tests. If it passes these tests, then it is accepted (tentatively) in the scientific community. An example is that the Bohr atomic theory is able to describe a sodium atom, to explain the rapid reaction of sodium with chlorine, and to predict a less impressive reaction between sodium and iodine. 687320513 www.CRYSTALAlberta.ca 2/2