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In the Classroom 204 Journal of Chemical Education • Vol. 78 No. 2 February 2001 • JChemEd.chem.wisc.edu Background The inquiry approach to college science teaching began to take form in the mid 1980s and gained momentum in the 1990s. This is succinctly reviewed by Jeanne Narum (1) from Project Kaleidoscope. Our own activity-based approach to learning and teaching has evolved over time and most closely resembles that described by Krumsieg and Baehr (2) and Hanson and Wolfskill (3), in which the instructor serves as a facilitator in guided discovery learning. This format is particularly well suited for engaging students in higher order cognitive processes (4) that are characteristic of science. At Seattle University, we find it pedagogically advantageous to introduce activities into the chemistry lecture curriculum in which students are given experimental observations and then prompted, with a little guidance, to draw and articulate conclusions for themselves. At the beginning of the academic year, organic chemistry students are asked to form small study groups. A formalized program is also offered by the Learning Center at Seattle University, in which facilitated study groups are aided with experienced students as leaders. After thoroughly working through and discussing guided discovery activities outside of class, the student groups are asked to articulate and discuss the concept(s) explored with the entire class during its normally scheduled period. After students complete the activity, they are assigned critical thinking and skill exercises that require further application of these concepts to help reinforce and solidify understanding. The following activity is an example. The analysis of the transition state associated with the rate-determining step of organic reactions is used extensively in organic chemistry to predict relative reaction rates and, for kinetically controlled reactions, product distributions. Applications of transition-state theory are relatively new to students at the beginning of their organic chemistry course and visualization of a chemical species with a lifetime of approxi- mately one molecular vibration is sometimes difficult for them. With the aid of potential energy/reaction progress diagrams, we have developed an activity that guides students to the under- standing and articulation of the relationship between selectivity and reactivity in terms of Hammond’s postulate (5). Because of its wide variety of applications, we find it effective to intro- duce this postulate in the early stages of the course (6–10). The activity is based on the mechanism of free radical halogenation of alkanes. It focuses on the rate-determining (and product-determining) step of the reaction (11–13) and requires students to carry out a stepwise analysis of what happens along the reaction progress coordinate from reactant to tran- sition state to intermediate. The activity requires students to integrate and apply prior knowledge into a new context. They must consider statistical factors and potential energy changes and estimate the extent of bond making and breaking in the transition state. The depth of coverage of this and other concepts and the appropriateness of the exercises will obviously be dictated by the backgrounds and academic goals of the students in the organic chemistry class. The teaching/learning model described in this article is used in a course in which the student audience consists of chemistry and biology majors, most of whom plan to continue their academic training either in graduate school or in medical school. We have noted that the guided discovery learning approach has the same positive effects on student learning in chemistry courses that are somewhat less rigorous. At Seattle University, we began incorporating discovery learning activities into the organic chemistry curriculum in 1993. At present, we utilize approximately 25 activities during the year, including the one reported here. Earlier articles include discussions of the efficacy of using learning teams for guided discovery learning projects (3, and refs therein). We, too, believe that the incorporation of these learning activities into the curriculum promotes greater understanding, enhances problem-solving abilities, and increases retention of the material. Although the group activities require additional time outside of class, students make this sacrifice with a positive attitude. For example, although no specific questions were asked about group activities on a recent fall quarter’s evaluation form, almost 50% of the students made very positive comments regarding the use of this and other group guided discovery learning activities. We have also found that such exercises enhance student understanding, thereby allowing instructors to include more complex exam questions that require students to apply concepts. (See the skill exercises included online.W ) While we have increased emphasis on the process of science through the activities, we have not sacrificed content. Performance has improved in the American Chemical Society standardized exam in organic chemistry, the average percen- tile score being 10 points higher than in the years before we initiated the activities. The textbook, laboratory program and instructor have been the same for the last 15 years, and during this period the average GPA from our prerequisite general chemistry courses has remained essentially constant. Others have collected definitive data on the benefits of inquiry learning (14 ) and more open-ended classroom discussion in chemistry (15). Our observed improvement in final exam Application of Hammond’s Postulate W An Activity for Guided Discovery Learning in Organic Chemistry J. E. Meany* and Vicky Minderhout Department of Chemistry, Seattle University, Seattle, WA, 98122; *jmeany@seattleu.edu Y. Pocker* Department of Chemistry, University of Washington, Seattle, WA 98195 In the Classroom JChemEd.chem.wisc.edu • Vol. 78 No. 2 February 2001 • Journal of Chemical Education 205 percentiles for organic chemistry is further evidence of the merits of the type of active learning described in this paper. Activity: Selectivity/Reactivity Principle in Terms of Hammond’s Postulate General Objectives In this activity, students apply relevant principles of thermochemistry and kinetics to the understanding of the relationship between selectivity and reactivity. Recognizing how enthalpies of reaction, ∆H, and activation energies, Ea, influence the regiospecificity of an elementary reaction demonstrates to students the application of Hammond’s postulate. Prerequisite Knowledge 1. Mechanism of halogenation of alkanes 2. Interpretation of potential energy/reaction progress diagrams 3. Hammond’s postulate 4. Calculation of heat of reaction from bond dissociation energies 5. Use of the Arrhenius equation 6. ∆G°, ∆H°, and ∆S° calculations and the qualitative meaning of these terms 7. Collision and transition state theory Learning Objectives 1. Given activation energies and the statistical availability of reaction sites on the reactant, calculate the relative rates of formation of primary and secondary alkyl free radicals in terms of collision theory. 2. Describe how kinetic and thermochemical data can be used to show that bromine atoms are more selective than chlorine atoms in abstracting hydrogen atoms of different classification. 3. Apply Hammond’s postulate in predicting transition state structures for the rate-determining step of the chlorination and bromination of propane. 4. Explain the relationship between selectivity and reactivity in terms of Hammond’s postulate for the reactions under consideration. 5. Relate entropy of activation to the probability factor in collision theory. 6. Describe how kinetic and thermochemicaldata can be used to assess the relative contributions by competing reaction mechanisms. Performance Criteria Performance is evaluated on the basis of the student’s ability to discuss and assess his or her performance in this activity with the group, taking into account the student’s success in recognizing and understanding (i) the chemical dynamics associated with potential energy (enthalpy) vs reaction progress diagrams and (ii) the structures of reactants, transition states, and products in terms of Hammond’s postulate. Learning is also measured in terms of the student’s answers to the critical thinking exercises at the end of the project. Relevant Information Students are given pertinent kinetic and bond dissociation data associated with the free radical halogenation of alkanes at primary, secondary, and tertiary hydrogen sites (16, 17 ). After making some simple calculations, each student group constructs potential energy/reaction progress diagrams. They then use Hammond’s postulate to approximately locate the respective transition states along the reaction coordinates of the potential energy/reaction progress diagrams, predict transition state structures, and articulate a rationale for the greatly differ- ent selectivities of bromination and chlorination. After this qualitative examination, some quantitative exercises completed outside of class illustrate some of the principles of thermo- chemistry and reaction rate theories in connection with the reaction in question. Students are given activation energies and bond disso- ciation energies, D (13, 14), for the elementary reactions given below. Ea = 1 kcal/mol � Cl� + CH3CH2CH2–H → CH3CH2CH2 + HCl (1) D = 98 kcal/mol D = 103 kcal/mol ∆H = ____ kcal/mol Ea = 0.5 kcal/mol Cl� + CH3CHCH3 → CH3CHCH3 + HCl (2) | � H D = 94.5 kcal/mol ∆H = ____ kcal/mol Ea = 13 kcal/mol � Br� + CH3CH2CH2–H → CH3CH2CH2 + HBr (3) D = 88 kcal/mol ∆H = ____ kcal/mol Ea = 10 kcal/mol Br� + CH3CHCH3 → CH3CHCH3 + HBr (4) | � H ∆H = ____ kcal/mol Plan Students are asked to (i) form groups of three or four; (ii) carry out the key and critical thinking exercises on a group basis and prepare to discuss these exercises with the rest of the class; and (iii) within each group, complete the skill exercises outside of class. Key Exercises 1. Calculate ∆H for elementary reactions 1–4 above, using the bond dissociation energies, D, given. 2. Using the graph paper provided, draw potential energy/ reaction progress diagrams to scale for each reaction (one-half space per kcal). In accordance with Hammond’s postulate, approximate the position of the respective transition states along the reaction progress axes. As a starting point, we have arbitrarily assigned the reactants an enthalpy value of zero (Figs. 1 and 2. NOTE: we have completed the graphs using dotted lines and italics for the print publication only). In the Classroom 206 Journal of Chemical Education • Vol. 78 No. 2 February 2001 • JChemEd.chem.wisc.edu Critical Thinking Exercises 1. On the basis of Hammond’s postulate, draw the structures of the transition states for the four reactions to indicate the extent of bond making and breaking for each elementary reaction. 2. Using the graphs you have generated and the transi- tions states you have drawn, explain, in terms of Hammond’s postulate, why bromine atoms are so much more selective than chlorine atoms in abstracting hydrogen atoms of different classifications. Figure 2. Bromination: ∆H vs % reaction. Figure was completed by authors for pub- lication. Figure 1. Chlorination: ∆H vs % reaction. Figure was completed by authors for pub- lication. Skill Exercises A number of exercises are included at this point to further solidify the concepts involved. These exercises, which require students to carry out simple calculations using collision theory and transition state theories, are provided online.W Acknowledgments Special thanks to S.U. Chemistry professors Susan Jackels, G. Spyridis, and Bernard Steckler for their signifi- In the Classroom JChemEd.chem.wisc.edu • Vol. 78 No. 2 February 2001 • Journal of Chemical Education 207 cant contributions to this paper. We are also indebted to Carol Schneider, Director, S.U. Learning Center, for organizing and supervising the Facilitated Study Group program. J.E.M., serving as the Arline F. Bannan Chair of Science and Math- ematics at Seattle University, is indebted to the Thomas J. Bannan Family. WSupplemental Material Background and prerequisite information about the free radical halogenation of alkanes, the student version of the activity including the blank graphs to be completed by students, possible strategies for class discussion, and skill exercises and their solutions are available in this issue of JCE Online. Literature Cited 1. Narum, J. In Student-Active Learning: Models of Innovation in College Science Teaching; McNeal, A. P.; D’Avanzo, C., Eds.; Saunders: Fort Worth, TX, 1997; pp 3–18. 2. Krumsieg, K.; Baehr, M. Foundations of Learning; 1st ed.; Pa- cific Crest Software: Corvallis, OR, 1996. 3. Hanson, D.; Wolfskill, T. J. Chem. Educ. 2000, 77, 120. 4. Zoller, U. J. Chem. Educ. 1993, 70, 195. 5. Hammond, G. S. J. Am. Chem. Soc. 1955, 77, 334. 6. Carey, F. A.; Sunberg, R. J. Advanced Organic Chemistry, 3rd ed.; Plenum: New York, 1990. 7. Jencks, D. A.; Jencks, W. P. J. Am. Chem. Soc. 1977, 99, 7948. 8. Pross, A. J. Org. Chem. 1984, 49, 1811. 9. Leffler, J. E.; Grunwald, E. Rates and Equilibria of Organic Reactions; Wiley: New York, 1963; p 157. 10. Frost, A. A.; Pearson, R. G., Kinetics and Mechanism: A Study of Homogeneous Chemical Reactions, 2nd ed.; Wiley: New York, 1961; pp 224, 225. 11. Thaler, W. A. Methods Free Radical Chem. 1969, 2, 121. 12. Hendry, D. G.; Mill; T.; Piszkiewicz, L.; Howard, J. A.; Eigenmann, H. K. J. Phys. Chem. Ref. Data 1974, 3, 937. 13. Tedder, J. M. Tetrahedron 1982, 38, 313. 14. Johnson, M. S.; Lawson, A. E. J. Res. Sci. Teach. 1998, 35, 89. 15. Zoller, U. J. Res. Sci. Teach. 1999, 36, 583. 16. Tedder, J. M. Angew. Chem., Int. Ed. Engl. 1982, 21, 401. 17. Huyser, E. S. Free Radical Chain Reactions; Wiley-Interscience: New York, 1970; p 91.
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