Challenging Students Ideas About Earth's Interior Structure Using a Model-based, Conceptual Change Approach in a Large Class Setting David N. Steer Department of Geology, University of Akron, Akron, OH 44325-4101 [email protected] Catharine C. Knight Educational Foundations & Leadership, College of Education, University of Akron, Akron, OH 44325-4208 [email protected] Katharine D. Owens Department of Curricular and Instructional Studies, University of Akron, Akron, OH 44325-4205 [email protected] David A. McConnell Department of Geology, University of Akron, Akron, OH 44325-4101 [email protected] ABSTRACT A model-based, conceptual change approach to teaching was found to improve student understanding of earth structure in a large (100+ student) inquiry-based, general education setting. Results from paired pre- and post-instruction sketches indicated that 19% (n = 18/97) of the students began the class with naïve preconceptions of the structure of the interior of the Earth. Many of the remaining students (95%; n = 75/79) began the lesson believing that the crust is several hundred kilometers thick. Peer discussion and instruction appeared to be effective in eliminating most naive preconceptions. Analyses of post-instruction sketches indicated that 3% (n = 3/97) of all students retained naïve preconceptions, 18% (n = 18/97) changed their views from naïve to the "thick crust" view, 58% (n = 58/97) began to recognize the relative scales of the boundaries with 30% (n = 28/97) drawing the sketch with scaled boundaries. Many of the students (65%; n = 76/117) could correctly answer formative earth structure conceptual questions that were asked five lessons after the earth structure lesson was taught. A comparison of pre- and post-course conceptual test question responses indicated that 13-20% more students could correctly answer similar questions two months after the model-based, conceptual change plate tectonics lessons were taught. INTRODUCTION the outcome related to a concept. Students then share their views and ideas with peers. This idea sharing is a scaffolding technique to help students articulate their beliefs about the topic at hand and then resolve conflicts (Zeidler, 1997). At the university level, professors then commonly step in to challenge students to resolve conflicts that arise when their initial ideas are not supported by actual data, expert models or other information. Students learn how to extend and transfer their knowledge through this process of raising and answering questions about the application of concepts to new situations. Several conditions are needed for conceptual change to occur and multiple outcomes are possible even when these conditions are present. Conceptual change is facilitated when students acknowledge confusion about their current views, when the new framework appears plausible, when students understand the clarified framework, when the concept is fruitful in addressing new situations and when they accept the data (Posner, 1982; Posner et al., 1982; Thorley and Stofflet, 1996; Chinn and Brewer, 1998). These conditions all operate within the students' conceptual ecologies that include their existing knowledge, familiar analogies and metaphors, and past experiences (Thorley and Sofflett, 1996; NRC, 2000). In response to new conceptual challenges, students' understanding may not change if they ignore, reject, are uncertain of, reinterpret or exclude new data (Chinn and Brewer, 1998). Change is also less likely if observations or situations appear consistent with their existing conceptual framework (Zeidler, 1997). Conceptual change instruction in the sciences is a well known strategy for improving student understanding of major scientific concepts and has been widely explored in the areas of biology (Pfundt and Reindeers, 1991; Gabel, 1993; Barrass, 1996), physics (Hestenes et al., 1992; Dykstra et al., 1992; Pfister and Laws, 1995) and chemistry (Bradley and Brand, 1985; Garnett and Treagust, 1992; Schmidt et al., 2003). Conceptual change in the learning of science involves the students' shifting from naïve views, preconceptions or alternative conceptions to accurate understandings driven by strongly supported scientific theories and evidence. Helping students shift from simplistic views to more accurate views can be facilitated using hands-on concrete models in conjunction with effective instructor support to clarify students' cognitive understanding (Gilbert and Ireton, 2003). Stepans (2003) formalized a multi-stage Conceptual Change Model (CCM - Figure 1) that provides a framework to improve learning. Students first write down their beliefs by making a prediction or formulating The development of advanced mental images that embody critical content, processes and underlying concepts (conceptual models) of a topic are known to play a significant role in the advancement of science (Hesse, 1966; Harre, 1970). By definition, models are groups of objects, symbols or images that represent some part or aspect of another system and are central to all learning (Gilbert, 1991; NRC, 2000; Gilbert and Ireton, 2003). Model building (from hands-on concrete to advanced mental-based conceptual) is recognized as essential to the learning of science (NRC, 1996; NRC, 2000). Hence, various types of models (e.g. metaphors, physical, mathematical, computational) are currently used to promote learning of science (Franco et al., 1999; Gobert, 2000; Schwartz, 2002; Gilbert and Ireton, 2003). The cognitive steps involved in a learner's building of conceptual models have been a focus of research in cognitive psychology for several decades (Harre, 1976; Steer et al. - Changing Students’ Ideas About Earth’s Interior 415 MODELS AND MODEL BUILDING Figure 1. Instructional schema used to promote conceptual change through in-class physical modeling. In the Preconceptions phase, a) students face and discuss their preconceptions. Students create novice models, are presented with conflicting data and make revisions in b) the Model Development Phase. At c) students evaluate their models and begin to develop mental models that emphasize processes. Mental models are validated at d) as students apply their mental models in new situations or to more advanced topics. Johnson and Laird, 1989; Nagel, 1987; Kuhn and Lao, 1998). In recent years, education research has focused on model building as a conduit for learning science (Franco et al., 1999; Clement, 2000; Gobert, 2000; Schwarz, 2002). A significant amount of science teaching research has been conducted that deals with evaluating cause and effect models (Raghaven and Glaser, 1995; White and Frederiksen, 1998), teaching and learning with concrete models (Gilbert, 1991; Gilbert and Ireton, 2003) and the revising of concrete models (Clement et al., 1989; Stewart and Hafner, 1991). Many education scholars argue that advanced mental models are constructed over time using concrete activities that scaffold more complex student learning, rather than via lecture or verbal description (Guzzetti et al., 2000). Further, the core concepts underlying a model must be repeatedly reinforced with practice throughout the course to facilitate long-term retention (Ericsson, 1996). Clement (2000) proposed a framework for iterative, constructive model development designed to enhance learning that supports conceptual change in students (Figure 1). In Clement's (2000) framework, students should build a hands-on naïve model pertinent to a concept and share their views on the construction and validity of the model (Figure 1a). Supporting and/or conflicting data are then presented that require students to evaluate and revise their models. Guided model revision becomes a primary self-assessment tool used to promote learning. Models developed by experts are used to validate (or discuss the limitations of) student models 416 (Figure 1b). The validation phase also involves the meta-cognitive tasks of comparing and contrasting the novice (i.e. students') models with those developed by knowledgeable experts (Figure 1c). The knowledge gained from the modeling process is thus more readily transferred to a mental model that encompasses the content and the processes of the concept. The cycle continues as students apply these new and improved mental models to other concepts in the course (Figure 1d). Concrete physical models can be useful in a large class setting where funds and physical facilities may be a limiting factor. Concrete physical models are designed to represent the appearance, function or an aspect of their target and can be handled and manipulated by students (Gilbert and Ireton, 2003). These simplified representations of reality are used to support the students' learning process by bridging ideas and promoting understanding of relationships and processes by means of a mental image constructed in long-term memory for later retrieval (NRC, 1996). Polya's (1979) systematic problem solving approach can be used to guide and support hands-on model-building activities. Polya asserts that students must: 1) Understand what they are trying to model; 2) Devise a plan to create the model; 3) Carry out their plan; and 4) Reflect on their efforts by looking back at their initial ideas. Students use and refine concrete models (in alignment with data and research presented in class) that can help them develop mental models that assist in their conceptual understanding of process and relationships, rather than Journal of Geoscience Education, v. 53, n. 4, September, 2005, p. 415-421 teaching assistants circulated around the room asking students questions about their models. Students then compared their completed physical models to their naïve, initial drawings. An expert (USGS) model was then shown to the students and explained. Students then compared and contrasted their physical models (Figure 1c: Model Validation Phase) with that expert model. Next, students again individually drew a circular, cross-sectional diagram to scale. Finally students put their ideas down in writing by explaining how their new understanding might relate to additional topics such as Table 1. Evaluation rubric for Earth cross section the structure of a tectonic plate (Figure 1d: Model sketched (1 point each). Extension Phase). The cycle was repeated as students constructed and described clay models for transform, memories that are mere images unconnected to the divergent and convergent plate boundaries. underlying concepts. Incomplete understanding and alternative Data Collection and Evaluation - Students were conceptions about Earth's structure and plate boundaries provided a handout displaying a circle and instructions has been shown to hinder the learning of processes "Sketch a cross section (to scale) of the interior of the associated with earthquakes (Barrow and Haskins, 1996) Earth and label the major boundaries." Pre- and and other aspects of the theory of plate tectonics (Gobert, post-modeling sketches were evaluating by awarding 2000). A study of secondary school students by one point per criteria (Table 1). This rubric was DeLaughter et al (1998) indicated that poor student developed by analyzing sketches from a previous conceptual models of the interior of the earth are semester where some students displayed widely varying apparent as early as 8th grade and we previously had views of the interior of the Earth (displayed layers with observed similar poor student understanding of this varying geometries and comprised of various materials). topic in our students. Consequently, we used the topic of Students with an alternative conception of the interior of Earth's interior structure and plate boundaries to test the the earth scored 0 points (Figure 2 a). Students who widely used CCM approach with concrete models recognized that the earth interior consists of multiple (Figure 1) to ascertain if this approach improved concentric spheres scored 1 (Figure 2 b). Students who drew only three or four concentric spheres (indicating conceptual understanding. that they held either the chemical or physical view) scored 2 points, 3 points if boundaries were correctly METHODS labeled (Figures 2 c and 2d). When the student diagram Instructional - Students who agreed to participate in this showed correctly labeled concentric spheres and study (n=97) were enrolled in the general education indicated the crust was much thinner than other course "Earth Science" at a large urban university boundaries (but > 1 mm from the outer circle), students (23,000+ students). The study population closely scored 4 points (Figure 2 e). Students scored 5 points by mirrored the demographics of the broader university in meeting all previous criteria and designating the line that participants included 52% white males (n = 51) and marking the outer circle as the crust (Figure 2 f). As 47% females (n = 46). A total of 11% (n = 11) of the suggested by Libarkin et al (2005) and based on the students in this study self identified as ethnic minority. responses from previous years, many of the students As is common at many large universities, this Earth would be familiar with the idea that the interior of the Science course had a large enrollment (160 per section) earth consisted of three to four spherically symmetric and included no lab periods. The course was taught in a layers with different thicknesses (would score 2-3 tiered lecture hall with seats facing a central projection points). A few students could be expected to grasp the screen. Students worked in assigned 4-person learning concept of scale by drawing the crust as a very thin layer teams to complete a variety of active-learning activities compared to the other major layers of the Earth (would related to the topics of discussion during every lesson in score 4-5). Student diagrams were evaluated by two instructors this course. This particular lesson occured after the first exam block (of 8 lessons) and was the first in a series of (Steer and McConnell). Pre- and post-instruction nine class meetings covering concepts associated with diagrams were photocopied, identifying pieces of information (e.g. student name and section) were plate tectonics. In our class, students completed a pre-class reading removed and coded IDs were placed on each diagram. assignment about Earth structure. Students then drew Each instructor then evaluated each diagram using the cross-sectional diagrams of Earth's major mechanical same rubric (Table 1). Data for each rater were entered to layers on a circle and then discussed their drawings in a spreadsheet with scores compared using a paired, 4-person groups (Figure 1a: Address Preconceptions two-tailed T-test to determine inter-rater reliability. Once Phase). The instructor then conducted a short lecture reliability was established, student pre- and presenting the major boundaries (e.g. crust-mantle) and post-instruction sketches from one instructor (Steer) evidence derived from scientific investigations for the were compared using paired t-tests as a population and existence of these boundaries. After the lecture, groups by group based on pre-instruction score (0-1: naïve view; again discussed their initial drawings and created a 2-3: limited view; 4-5: acceptable view for college physical model. They constructed scale models (1 mm = freshman non-science majors). Average score 1 km) of major Earth boundaries using a 6.4 m string, normalized gains were also computed for each tape measure and markers to place at appropriate population ([post-pre]/[5-pre]) Student longer term locations (Figure 1b: Model Development Phase). To retention was evaluated by analyzing student responses support their model building process, instructors and on in-class conceptual questions, exams and by Boundaries appear to be concentric spheres (circles). Sketch displays crust, mantle, core (as a unit or inner and outer core separately). Boundaries are correctly labeled. Drawing appears to demonstrate some differences in scale (e.g. Crust is thinner than other layers but > 1 mm from circle edge). Crust is nearly to scale (use the circle already drawn on the paper or 1 mm or less from edge). Steer et al. - Changing Students’ Ideas About Earth’s Interior 417 Figure 2. Scanned and manually traced examples evaluated student drawings of interior structure of the earth (pre-instruction). a) score of 0 (misconception or no conceptual framework), b) score of 1 (naïve view), c) score of 2 (multiple concentric layers), d) score of 3 (labeled multiple concentric layers), e) score of 4 (multiple concentric layers with some scale for crust) and f) score of 5 (advanced level of entry-level understanding). comparing pre- and post-test scores (post test at the end not adjusted. Pre- and post-instruction scores were of the semester) for an interior structure of the earth indistinguishable between raters when pair-wise question from the Geoscience Concept Inventory compared (p = 0.5 for both data sets). (Libarkin and Anderson, in press). Evidence of Learning - The use of the conceptual change approach using simple models appeared to RESULTS enhance learning in a large class (160+ students) setting. Inter-rater Reliability - Though there were some scoring There were no statistically significant gender differences discrepancies between raters, there were no statistically in pre-instruction scores (p = 0.80). Qualitatively, a significant differences in scores between evaluators in review of the initial student diagrams indicated that the this study. The initial screen of these data indicated that majority (81%, n=79/97) were able to draw a five (four pre- and one post-instruction) drawings had rudimentary schematic of the Earth (drawing showed scores that varied by 2 points. Each of these drawings concentric spheres with major boundaries) prior to was separately reviewed. In two cases, one rater (Steer) instruction (scored 2 or higher). Of those students with scored 0 points for diagrams that displayed lines the concentric view, most (95%, n= 75/79) began the class radiating outward from the center of the earth. By strict with the preconception that the crust of the Earth was application of the rubric, McConnell argued that there several 100's of km thick based on their drawings, thus were multiple concentric spheres embedded in the scoring 3 or 4 points (Figure 2 d and e). A significant drawing and awarded 2 points. Two other discrepancies proportion of the students (19%, n=18/97) began the dealt with differences in interpretation of "differences in class with widely varying preconceptions of the scale." In both cases, McConnell argued that the structure of the interior of the Earth ( Figure 2a and b: e.g. drawings with a very small core (inner and outer horizontal or vertical layers, concentric ovals, all molten combined) were incorrectly scaled. The single interior). Only four students appeared to hold the post-instruction discrepancy was a scoring error. Scores desired conceptual view before instruction (scored 5 for the diagrams that varied by 2 points were adjusted points). Student scores on sketches of the interior of the earth accordingly (up or down by 1 point) to better reflect the scoring intent of the rubric. There were eight other pre- changed significantly (Figure 3) after building and and seventeen other post-instruction scores (out of 97) analyzing the simple scale model of the interior structure that varied by one point. There were no obvious trends to of the Earth. There were no statistically significant these discrepancies and scores for these diagrams were gender differences post-instruction scores (p = 0.30). 418 Journal of Geoscience Education, v. 53, n. 4, September, 2005, p. 415-421 Figure 3. Distribution of student scores for sketches of the interior of the earth (gray pre-and black post-instruction). Overall, student scores on the sketches increased from 2.6 +/- 1.2 on the pre-test to 4.0 +/- 1.0 on the post-test for an overall normalized gain of 58% (n=97; p < 0.000001). These results indicate that the typical student moved from a basic view of the interior of the Earth (e.g. three or four correctly labeled, concentric spheres) to a view that included some recognition that scale was important to include in their view ( Figure 2e). Students who had alternative conceptions or very limited conceptual frameworks about the Earth's interior (scored 0-1 on pre-test) experienced the greatest change. These 18 students increased their average score from 0.8 +/- 0.4 to 3.3 +/- 1.3 for a normalized gain of 59% (p < 0.000001). Two of these students displayed no change and one student scored lower on the post-instruction diagram. Students who had rudimentary conceptual frameworks about the Earth's interior (scored 2-3 on pre-test) also improved their conceptual framework as evidenced by a normalized gain of 62% (from 2.6 +/- 0.5 to 4.1 +/- 0.8; n = 58; p < 0.000001). Students who scored the highest (4 and 5 points; n = 21) on the pre-test did not realize statistically significant normalized gains (p > 0.05). DISCUSSION A model-based conceptual change approach did appear to change student views concerning the interior structure of the earth. Most student alternative conceptions (students scoring 0 or 1 on the initial diagram) appeared to be quickly addressed as students discussed their sketches with one another during the "Address Preconceptions Phase" ( Figure 1a). During this discussion period, students with alternative conceptions quickly realized that their simple views were not adequate. These team discussions were validated when students constructed a physical model during the "Model Development Phase' ( Figure 1 b) and during the lecture portion of the class when an expert model was presented and discussed. Even after the lecture, most groups (90%; 36/40 groups) continued to hold their preconception about the thickness of the crust as evidenced by the location of the crust-mantle marker on their physical string models. It was not until the instructor and teaching assistant suggested that students' compare the scale of their crust to that of the expert model projected on a screen did students recognize that their models for the crustal boundary Steer et al. - Changing Students’ Ideas About Earth’s Interior were incorrect. By completion of the "Model Validation phase" ( Figure 1 c), students holding simplistic views evolved to the point the majority (16/18) could sketch and label a geometrically acceptable model with 10 of 18 students incorporating scale into their diagrams. As suggested could happen by Chinn and Brewer (1998), several students (n =3) appeared to have ignored, rejected or excluded the data as they continued to draw inadequate representations (scored 0 or 1) for the interior of the earth. For students with a more advanced, yet still limited, view of the interior of the earth (scoring 2 or 3 on pre-instruction diagrams) progress was manifested in an improved understanding of the scale of the crust compared to the other major layers. However, on the post-instruction diagram, only 30% of these students (17/58) correctly drew the crust to scale (scored 5). The actions of the remaining students (n = 41/58) illustrated that many students reinterpreted the data (Chinn and Brewer, 1998) or made only peripheral changes to better fit their existing conceptual ecologies (Zeidler, 1997). Improvement for students with the more accurate conceptual model of the earth (scored 4 or 5 on pre-test) occurred as more students appropriately scaled the thickness of the crust (10 compared to 5/21 initially). Such data suggest that students with various conceptual starting points can improve their level of understanding during a class, but did they retain that improved view beyond the immediate class? The topic of scale of Earth boundaries was extended ( Figure 1d) as students probed their views on the nature of the lithosphere and kinematics of plate boundaries. In learning teams of four, students built three-dimensional clay models of the lithosphere for divergent, convergent and transform plate boundaries. These activities were integrated with other active learning exercises (concept maps, concept test questions, cross sections) to help them build accurate mental models of these complex, abstract systems. Clay models were ideal for student investigations because the models could be adjusted and numerous features can be placed directly on the models (e.g. earthquake foci, trench locations, mountains, volcanoes). Such modeling required students to translate primarily two-dimensional information that is presented as diagrams or 2-D maps in textbooks into actual three-dimensional models. The scale of the thickness of the crust compared that of a tectonic plate and the upper mantle was continually reinforced during these exercises. Formative and summative evaluations indicated that students retained some portion of their improved conceptual models of the interior of the Earth through the end of the course. At the conclusion of the eight lesson plate tectonics block, 65% (76/117) of the students correctly answered the following conceptual question (McConnell et al., 2003) in class: "Which is the best analogy? The thickness of an egg shell is approximately 1-2% of the radius of an egg. This is analogous to the thickness of the _______ relative to the radius of Earth. a. oceanic crust c. Lithosphere b. continental crust d. mantle." A comparison of results from pre- and post-test results from the Geosciences Concept Inventory (see GCI at http://www-msc.bhsu.edu/eps/TEST%20CONSTRUC 419 TION%20DEC.doc) indicated that 44% (48 of 109) science, Journal of Research in Science Teaching, v. correctly answered a structure of the Earth question 35, p. 623-654. compared to 31% (40 of 130) on the pre test (non-paired Clement, J., Brown, D. and Zeitsman, A., 1989, Not all results). Likewise, on a question concerning the physical preconceptions are misconceptions: finding location of tectonic plates, 46% (50/109) correctly 'anchoring conceptions' for grounding instruction on responded on the post-test compared to 26% on the students' intuitions, International Journal of Science pre-test (non-paired results). These data and Education, v. 11, p. 554-565. observations support the contention that it is very Clement J., 2000, Model based learning as a key research difficult to affect conceptual change in students (Posner, area for science education, International Journal of 1982; Posner et al., 1982; Thorley and Stofflet, 1996; Science Education, v. 22, p. 1041-1053. Zeidler, 1997), but that repeated exposure to a concept, in DeLaughter, J.E., Bain, K.R., Stein, C.A. and Stein, S., concert with instructor guidance, can effect change. 1998, Preconceptions abound among students in an introductory earth science course, EOS, v. 79, p. 429-432. SUMMARY Dykstra, D.I, 1992, Studying conceptual change in learning physics, Science Education, v. 76, p. 615-652. Earth structure is a key element in the guiding paradigm of plate tectonics that is taught in nearly every Ericsson, K.A., 1996. The Role of Deliberate Practice in the Acquisition of Expert Performance, Psych. Rev., introductory geology course in the nation. It is important 100 (3), 363-406. for all students to understand earth structure because it influences how non-science majors view processes that Franco, H., Barros, H.L., Colinvaux, D., Krapas, S., Queiroz, G. and Alves, F., 1999, From scientists' and shape the world in which they live and it lays the inventors' minds to some scientific and technological foundation for geology majors to continue their study of products: relationships between theories, models, the Earth. Pictorial models are generally used to teach mental models and conceptions, International plate tectonics because the processes embodied therein Journal of Science Education, v. 21, p. 277-291. are largely abstract and cannot be directly observed in their entirety. This research has begun to show that Gabel, D.L., 1993, Handbook of Research on Science Teaching and Learning Project, NSTA Press, students bring naïve preconceptions to the classrooms Washington, DC., 598 p. that interfere with their science learning. This research has also shown that student alternative conceptions Garnett, P.J. and Treagust, D.F., 1992, Conceptual Difficulties Experienced by Senior High School about earth structure are difficult to modify. The Students of Electrochemistry: Electrochemical conceptual change approach coupled with physical (Galvanic) and Electrolytic Cells, Journal of Research modeling of earth structure and other related topics in Science Education, v. 29, p. 1079-1099. appears to facilitate learning of the content, relationships, and processes of plate tectonics. As Gilbert, S.W., 1991, Model Building and Definition of Science, Journal of Research in Science Teaching, v. students compared, contrasted and revised their simple 28, p. 73-79. physical models, they appeared to learn how to create more advanced mental models of earth structure. More Gilbert, S.W. and Ireton S.W., 2003. Understanding Models in Earth and Space Science, NSTA Press, research is needed to determine the extent to which Arlington, VA., 124 p. physical model building overcomes preconceptions and promotes development of appropriate advanced mental Gobert, J.D., 2000, A typology of causal models for plate tectonics: Inferential power and barriers to models in students. 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