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230                         Adaptation

            the cumulative results of multiple learning events. In this sense, the model
            shows that the learning mechanism is sufficient to acquire ecologically valid
            skills through practice. The three skills are very different in character, which
            provides modest confidence in the robustness and content-independence of
            the learning mechanism. Besides providing snapshots of constraint-based
            learning  in  ecologically  real  task  domains,  the  three  applications  provide
            novel perspectives on transfer of training and the nature of instruction, thus
            answering the fifth and sixth questions about practice posed in Chapter 6.
            In science education, students often acquire problem-solving skills in two
            steps. First, the student studies the relevant theory, its concepts and prin-
            ciples, presented in a declarative format. Second, the student attacks some
            class of problems for which the theory specifies correct solutions, and the
            student practices until he has mastered a relatively well-defined strategy for
            this class of problems. Textbook chapters often implement this two-punch
            scenario.
               To simulate this scenario, HS learned to construct Lewis structures, a rou-
            tine problem-solving skill in high school and college chemistry. Chemists use
            several different symbolisms for representing atoms and molecules. The most
            basic is the sum formula, which states how many atoms of each type a mole-
            cule contains. For example, the sum formula for ethanol (commonly known as
            ethyl alcohol or just alcohol) is C H OH, indicating that 1 molecule of ethanol
                                         5
                                       2
            contains 2 carbon atoms, 1 oxygen atom and 6 hydrogen atoms. Sometimes
            chemists need to know which atom is connected to which other atom. This is
            represented in a structural formula, also called a Lewis structure. The struc-
            tural formula for ethanol is shown in Figure 7.3.
               To construct a Lewis structure is to derive the correct structural formula,
            given the sum formula. The Lewis structure for a molecule is constrained by
            the theory of the co-valent bond, the type of chemical bond symbolized by the
                                   35
            horizontal and vertical lines.  Basic principles of this theory include that each
            bond requires the sharing of 2 electrons; that only the valence electrons, the
            electrons in the outermost electron shell, can participate in such bonds; that







                                       Figure  7.3.  The  structural  formula  for  ethanol
                                       (C 2 H 5 OH)  as  it  might  be  presented  in  a  college
                                       textbook. Each line between two atoms stands for
                                       a shared pair of electrons.
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