Memory & Cognition 2007, 35 (5), 895-909 Learning geographical information from hypothetical maps Nora S. Newcombe Temple University, Philadelphia, Pennsylvania and Noelle Chiau-Ru Chiang Shih-Hsin University, Taiwan People show biases or distortions in their geographical judgments, such as mistakenly judging Rome to be south of Chicago (the Chicago–Rome illusion). These errors may derive from either perceptual heuristics or categorical organization. However, previous work on geographic knowledge has generally examined people’s judgments of real-world locations for which learning history is unknown. This article reports experiments on the learning of hypothetical geographical spaces, in which participants acquired information in a fashion designed to control real-world factors, such as variable travel experiences or stereotypes about other countries, as well as to mimic initial encounters with locations through reading or conventional school-based geography education. Five experiments combine to suggest that biases in judgment based on learning of this kind are different in key regards from those seen with real-world geography and may be based more on the use of perceptual heuristics than on categorical organization. There are several important reasons to study geographical learning. First, knowledge of geographical or larger scale space is important for effective functioning in the modern world. Recent data show that American children and even adults have very little knowledge of world geography, leading to concern that the country is ill-equipped to consider important questions concerning international relations and an increasingly global economy (Liben & Downs, 1994). Second, studying geographical learning offers a real and complex context in which to examine the integration and the interaction of information from many disciplines and knowledge domains. Learning geography requires more than simply encoding the spatial layout of cities and countries. It also involves learning the nature of the environments and climates in which these places are embedded, what natural resources these places possess, and the human aspects of such spatial contexts, such as cultures, political systems, and economic activities (National Geographic Research and Exploration, 1994). Third, in recent years, people working with geographic information systems (GISs) have called for input from cognitive scientists, because understanding of how human minds process geographical information is vital to building and improving the application of GIS technology (Blades, Lippa, Golledge, Jacobson, & Kitchin, 2002; Freundschuh, 2000; Mark, Freksa, Hirtle, Lloyd, & Tversky, 1999). Fourth, geographic learning offers an important real-world context for further investigating the effects of categorization and perceptual processes on spatial estimation (Huttenlocher, Hedges, & Duncan, 1991). The study of spatial learning dates back to Tolman’s (1948) cognitive map research, but research on geographic knowledge has not been common until more recently. Stevens and Coupe (1978) provided the first empirical evidence demonstrating that representations of the environment are hierarchically organized. It is now well known that people misjudge location in ways apparently based on membership in superordinate categories (e.g., placing Reno to the east of San Diego because Nevada is largely east of California). Hirtle and Jonides (1985) extended Steven and Coupe’s model to a situation in which the hierarchical categories were ambiguous and ill-defined. The participants in their experiment were University of Michigan students who were asked about landmarks in a map of Ann Arbor. Using a variety of dependent measures, Hirtle and Jonides found that the participants overestimated distances for between-cluster pairs and underestimated them for within-cluster pairs, suggesting that they formed subjective spatial categories even without seeing well-defined boundaries in the space. Tversky (1981) argued that distortions or biases in the estimation of geographic location occur due to heuristics derived from principles of perceptual organization. For example, in her view, people tend to misjudge South America to be far more west than it actually is because they “align” North America and South America into a simple N. S. Newcombe, [email protected] 895 Copyright 2007 Psychonomic Society, Inc. 896 Newcombe and Chiang unit along a longitudinal axis. Similarly, because they “align” North America with Europe along a latitudinal axis, people tend to misjudge Rome to be to the south of Chicago. Tversky’s perceptual approach has been elaborated in several further studies (Glicksohn, 1994; Schiano & Tversky, 1992; Tversky & Schiano, 1989). Huttenlocher et al. (1991) have proposed a different conceptual framework concerning the processes that could create biases in estimates of geographic location. Their category adjustment (CA) model posits that people represent spatial locations at more than one level of spatial resolution and that they make estimates by combining information from a fine-grained level and a categorical level. When memories at the fine-grained level are more inexact, categorical information is more heavily weighted, and biases can arise. For example, if people do not remember exactly where a particular object is located, they might weight their estimate with categorical information concerning the region in which it is located, using the prototype location of the region. Although this process creates bias, it is adaptive in that it reduces variability of estimates. The CA model has been largely developed using data from spatial location estimates in simple and highly controlled contexts, such as the location of a dot in a circle, but it has also been extended to learning from simple maps (Newcombe, Huttenlocher, Sandberg, Lie, & Johnson, 1999). Recently, Friedman and Brown (2000a, 2000b) have proposed that real-world geographical knowledge shows effects of categorization. They asked participants to estimate the locations of a set of world cities. In some experiments, the participants were asked to estimate the latitudes of those cities, whereas in other experiments, they were asked to estimate the longitudes. Interestingly, Friedman and Brown found that although people have quite accurate qualitative (or categorical) knowledge about city locations, their quantitative knowledge is often inaccurate. Two main patterns of biases were identified in their studies. First, there was a tendency for people to group North America into four regions (Canada, the northern U.S., the southern U.S., and Mexico) and to group Europe into three regions (northern Europe, central Europe, and Mediterranean Europe) but to discriminate relatively little within each region. That is, people’s estimates showed definite jumps when country (or region) boundaries were crossed, with little differentiation for estimates within countries (or regions). Second, in addition, people tended to coordinate (or “line up”) countries or regions from different continents—for example, Canadian cities with cities in northern Europe, cities in the northern U.S. with cities in central Europe, and cities in the southern U.S. with cities in Mediterranean Europe. This type of processing provides one possible explanation for the Chicago–Rome illusion: Because participants categorized these two cities as in the “northern U.S.” and “Mediterranean Europe,” their estimates for these cities were different, even though, in fact, these two cities have similar latitudes. Thus, Friedman and Brown proposed that the phenomenon that Tversky attributed to an alignment process occurred because of categorical judgments, rather than due to perceptual (or figurative) processing. Friedman, Brown, and McGaffey (2002) provided direct evidence for this proposal. Friedman and Brown (2000a, 2000b) examined whether people’s knowledge could be improved using the seeding paradigm, developed by Brown and Siegler (1996). They provided participants with the exact locations of a few cities and found that these “seeds” profoundly improved the accuracy of second estimates. In addition to being practically and educationally useful, seeds also offer a window for understanding how old knowledge is reorganized by accommodating new information. For example, seeds from one category can improve knowledge about different categories only if those categories of knowledge are coordinated. Thus, it is interesting that learning southern U.S. seeds not only moved estimates of the location of southern U.S. cities north, but also moved estimates of Mexican cities north. This fact indicates that the participants coordinated the locations of these two regions. Similarly, because southern European cities are coordinated with southern U.S. cities, seeds moved southern European cities accordingly. However, people did not move African cities north following seeding, possibly because there is a gap (the Mediterranean Sea) between southern European cities and northern African cities. The participants may simply have concluded that the Mediterranean Sea was larger than they had imagined. Friedman, Kerkman, and Brown (2002) extended this line of work to examine one possible cause for biases and distortions in people’s subjective representations of geographical knowledge: the home location of the participants. Prior work had involved people living in Edmonton, Alberta, so their estimates might have been influenced by physical proximity to various locations. Physical proximity hypotheses predict that an increase of the distance from a participant’s home will cause more biases in geographical knowledge. Surprisingly, however, Texan college students produced more biased estimates of Mexican cities (about 16º more biased) than did Canadian college students. Subsequent research has confirmed these findings and has shown that even Mexican participants bias estimates of Mexican cities towards the equator (Friedman, Kerkman, Brown, Stea, & Cappello, 2005). The categorical organization of North America varied, with Mexicans dividing Mexico into two regions but viewing the United States as consisting of only one region, whereas Americans and Canadians continued to show the two-category organization of the United States observed previously, with only one category for Mexico. Friedman et al.’s research is important for several reasons. First, it supports the notion that people’s subjective representation of geographical knowledge is categorical in nature. Therefore, it reinforces Stevens and Coupe’s (1978) classic findings and suggests the utility of Huttenlocher et al.’s (1991) hierarchical model for thinking about people’s geographical knowledge. People’s location judgments of world cities seem to depend on their knowledge of the superordinate categories to which those cities belong. Second, their seeding paradigm is important both theoretically and practically. Theoretically, the seeding paradigm provides us with a technique for examining Learning Geographical Information 897 how people correct their incorrect geographical beliefs and restructure their geographical knowledge to accommodate new information. Practically, in terms of educational application, this method is particularly useful for teachers who wish to help students improve their overall knowledge by offering only critical information. Friedman and Brown’s work does not, however, definitively settle the issue of the role of perceptual heuristics and categorical organization in geographic learning. It is possible that both factors are relevant or that one or the other factor is more important, depending on the context in which information is learned or used. In particular, categorical structure might be relatively more important when people have a strong knowledge base about countries based, in part, on personal experience, whereas perceptual factors might loom larger early in geography learning, when books, maps, lectures, or film are the primary means of information transmission. In the present work, we studied geographical learning by using fictional cities and countries, allowing us to study situations in which people bring no specific information to an experiment. Our aim was to simulate conventional school-based geography classes. In Experiments 1 and 2, we explored whether we could replicate some of the key findings of Friedman and Brown, using hypothetical countries. In particular, we asked whether we would see large differences in location estimates across country boundaries, along with little within-country differentiation, as predicted by categorical coding. An alternative was that the participants would simply memorize locations individually, with either constant variability around absolute accuracy or overall shifts caused by the use of heuristics. To preview, we found more evidence for the latter than for the former possibility. In Experiment 3, we then investigated the use of perceptual heuristics more directly, and in Experiment 4, we sought to determine whether we could strengthen the acquisition of categorical knowledge by changing the learning paradigm. Given that we continued to find more evidence for perceptual than for categorical learning, in Experiment 5, we asked whether providing reference information would still improve performance by offering anchors for judgments, even though there might not be categories to be “seeded.” EXPERIMENT 1 Experiment 1 was designed to explore whether key findings regarding cognitive representations of real-world geography can be replicated in cases in which people are learning hypothetical geography. Several prior studies have reported that people are able to learn from artificial maps (e.g., Clayton & Habibi, 1991; McNamara, Hardy, & Hirtle, 1989; Newcombe et al., 1999; Thorndyke, 1981). However, many of these studies have involved maps of small-scale spaces, such as room layouts or building interiors. In this research, our aim was to investigate spatial learning in which maps of an extensive area (i.e., a continent) were shown as part of learning about the climates, people, and cultures of countries. We set up a continent analogous to North America, creating three countries whose locations roughly mapped to Canada, the United States, and Mexico, in order to examine whether the bias patterns found by Friedman and Brown in real geography would appear in the hypothetical situation. Method Participants. Eighteen students from Temple University participated in Experiment 1. They were either graduate students who participated voluntarily or undergraduates who participated for partial fulfillment of a course requirement. Materials. A hypothetical map (19 cm high 3 23.5 cm wide on the computer screen) with three countries and 12 target cities was created to illustrate the relationships among these countries and cities (see Figure 1). The three countries were situated in the lower, middle, and upper parts of the map. Six of 12 target cities were located in the middle country, and 3 of 12 cities were located in both the lower and the upper countries. A second map (see Figure 2) was also created to illustrate the location of these countries relative to the whole world. The second map was 21.5 cm (high) 14.5 cm (wide), with 90º of latitude equal to 21 cm in height. On this map, three latitude lines were presented: the equator (0º), the north pole (90º), and the arctic circle (roughly 66.5º). The reason for using two maps was to require the participants to learn generalizable location information that was not dependent on the frame of the page. Our aim was to simulate the process of learning locations of cities and countries from a variety of different graphic displays. Integrating across such displays requires inferential processes. The participants learned about these cities and countries by reading a display program with illustrated texts, pictures, and maps indicating the capital city, climates, industries, and famous places for the countries and cities. This information was created and controlled by a Superlab Pro program. The participants were tested using a grid pattern (18.5 cm high 3 26 cm wide), generated by a computer program created using the C11 programming language. The grid pattern showed lines at 10º increments, with latitudes ranging from 0º (the equator) to 90º north (the north pole) and longitudes ranging from 40º west to 160º west (see Figure 3). In the real world, this grid would roughly cover the area of North America. Procedure. The participants were asked to sit at a PC computer terminal and to follow the display program presented on the computer screen, which would lead them on geographical tours of the three hypothetical countries and 12 target cities. In this experiment, all the participants pretended that they lived in the capital city of the middle country and started the tour from there. The participants were asked to learn 3 cities at a time by following the display program, which presented them with information about climate, industries, and famous places in these cities. The main map, as shown in Figure 1, was presented in the display program asking the participants to locate a particular city every time when they finished the textual information with pictures for that city, and the second map, as shown in Figure 2, was also presented in the display program every time when they finished learning the first city in a new country. After 3 cities had been learned, the participants were tested with a grid task, which asked them to estimate the locations of 12 target cities. The participants were told that they could make an educated guess concerning the cities that they had not learned yet. The order of learning was fixed, beginning with 3 cities in the middle (or home country), followed by the other 3 cities in that country, the 3 cities in the lower country, and finally, the 3 cities in the upper country. Thus, learning was categorically grouped. In the grid task, the participants first saw the name of a city presented at the center of the computer screen. The participants were told that they were required to press the space bar when they were ready to estimate the location of that city. After the space bar had been pressed, a grid pattern with latitude and longitude numbers was shown to the participants. They were told that all three countries and 898 Newcombe and Chiang Figure 1. Hypothetical map with three countries and 12 target cities used to illustrate the relations among countries and cities. cities would fall on this grid. The participants were informed about the mapping between the easternmost and westernmost points on the main map and the corresponding grid. The participants were also directed to pay attention to the latitude numbers shown on the grid and were told to infer the north–south location of the city on the basis of the numbers. The participants were asked to move an “X” on the computer screen by moving the mouse to indicate the location where they thought the city would belong on a real map. A red dot with a 2-mm diameter would show up when the participants pressed the left button of the mouse to indicate the location of the city. The participants were allowed to make changes on the location of the red dot when they pressed the left button of the mouse again. After the estimation was finished, they were required to press the right button of the mouse to go to the next trial. The participants were not provided any feedback about their performance. The procedure was repeated four times until the trials for all 12 target cities in the three countries were finished. Results and Discussion On the basis of box plots, five extreme outliers for latitude estimates and one extreme outlier for longitudes were deleted from the data set. These outliers may have been caused by the fact that the participants occasionally forgot completely where the cities were and simply guessed. The participants’ mean latitude and longitude estimates, as well as the actual latitudes and longitudes, are presented in Figure 4. These estimates come from performance in the final grid task after all the cities had been learned. The correlation (Spearman rho correlation) between actual longitudes and mean estimated longitudes was .986. As Figure 4 shows, the estimates for longitudes were not only ordinally accurate, but also, in most cases, very close to the correct values. This fact is likely due to the fact that success along this dimension could be based on figurative memory. Mapping between the easternmost and westernmost points on the maps and on the test grid occurred directly, whereas, for latitudes, the participants had to infer the northernmost and southernmost points of the continent by relating their figurative memory to the latitude map. Confidence intervals across all participants for each city indicated that the mean estimated longitudes were not different from the actual longitudes for most of the cities, except for very small westward biases for Roscommon, Hamersley, Limerick, and Armidale. Although these biases were small, biases in longitude had not been expected, so this was somewhat surprising. However, the same result did not appear in Experiment 2, so these data should not be overinterpreted. Learning Geographical Information 899 Figure 2. Second hypothetical map used to illustrate the locations of countries relative to the wider world. The results for latitudes were quite different from those for longitudes. For this dimension, the participants had to encode values so that they could be transferred to a different scale on the grid. That is, the participants had to infer where the northernmost point and the southernmost point of the continent they had learned would fall on the grid in order to respond correctly. Although the correlation between actual latitudes and mean estimated latitudes was .979, suggesting accuracy in ordinal terms, the participants showed systematic biases, as Figure 4 shows. They placed cities in the upper country and the northern part of the middle country further north than they should have, and they placed cities in the lower country further south. Confidence intervals across all participants for each city indicated that the mean latitudes for all three cities in the upper country were significantly north of the actual latitudes and that the mean estimated latitudes for two of the three cities in the lower country were significantly south of the actual latitudes. The mean estimated latitudes for southern cities of the middle country (including Krefeld, Limerick, and Mycenae) were not different from the actual latitudes, but the latitudes for the northern cities of the middle country (including Ciron, Oldham, and Tuscan) were significantly further north than the actual latitudes. In some ways, the pattern found in Experiment 1 fits what Friedman and Brown (2000a, 2000b) found in realworld geography in terms of bias patterns. That is, in general, the estimates for the upper country (which can be mapped to Canada) are biased to the north, and the estimates for the lower country (which can be mapped to Mexico) are biased to the south, with some biases also found for the middle country, possibly based on regional division. However, the pattern in Experiment 1 does not fit Friedman and Brown’s data in other ways. First, there is no clear break across country lines. Although the difference between Matterhorn and Limerick may be somewhat exaggerated, no such tendency appears for Tuscan 900 Newcombe and Chiang Figure 3. Grid pattern used in the testing phase. and Roscommon. Second, the participants seem to have differentiated latitudes about as much within a country as across boundaries. To examine latitude differentiation among cities within a country, we computed a regression slope for the middle country, using actual latitudes to predict estimated latitudes. (Only cities in the middle country were fitted with the regression, because with three cities in the lower country and three cities in the upper country, there were too few data points to get reasonable estimates.) The results indicated a slope significantly larger than zero [t(17) 5 5.97, p 5 .000]. Thus, cities were significantly differentiated within a country, unlike the pattern generally found in Friedman and Brown’s work on real countries. These aspects of the data suggest that categorical structure might not be the key to the observed biases. An alternative mechanism is that participants simply attempt to preserve the ordering of the cities they learned, spreading them out across the response grid in a fairly even way that ignores the information given to them about latitude landmarks, such as the equator and the arctic circle. We will return to this possibility in Experiments 3 and 4, after examining the generality and replicability of the data pattern in Experiment 2. EXPERIMENT 2 Friedman, Kerkman, and Brown (2002) found that Albertans from Canada and Texans from the United States had similar subjective representations of North American geography. That is, they divided North America into the same number of regions and had similar biased patterns for cities in those regions, regardless of where they lived (except that the Canadians did not show a bias for Canadian cities). This study indicates that judgment biases do not generally increase with increasing distance from people’s home city, as a simple familiarity or proximity hypothesis would predict. Friedman, Kerkman, and Brown (2002) argued that Albertans and Texans may share similar geographical beliefs based on common social or cultural knowledge. However, recently, Friedman et al. (2005) have reported that Mexicans show a categorical organization of North America that is different from that of Canadians or Americans. In Experiment 2, our aim was to replicate the basic findings of Experiment 1 and to evaluate whether initial geographical learning from text and photos is affected by one’s point of departure. Thus, we added groups of people who began learning with the capital city of the lower or the upper country and imagined they lived there. Learning Geographical Information 901 Adults‘ Mean Estimated Latitudes in Experiment 1 80 Actual latitude Estimated latitude Degrees of Latitude 70 60 50 40 30 20 10 id al M e at te rh or n Li m er ick Kr ef el d M yc en ae Ci ro n Ol dh am Tu sc Ro an sc om m on Ha m er sle y W ei m ar Ar m Fr as ca 0 Cities Adults‘ Mean Estimated Longitudes in Experiment 1 160 Actual longitude Estimated longitude Degrees of Longitude 140 120 100 80 60 40 20 0 ar W ae en m ei M yc n ro Ci e al d el ef Kr sle id A rm m er Ha y ca as Fr a M an on ick am sc m er dh l Tu iL m O sc Ro rn ho r tte om Cities Figure 4. Adults’ mean estimated latitudes and longitudes in Experiment 1. For latitude estimates, the cities are ordered on the x-axis, beginning with the three cities in the lower country, followed by the six cities in the middle country, and then the three cities in the upper country. Cities within a country are ordered by their actual latitudes. For longitude estimates, the cities are ordered on the x-axis by their actual longitudes. Method Participants. Thirty-six undergraduate students from Temple University participated in this experiment for partial fulfillment of a course requirement. Materials and Design. The same stimuli as those in Experiment 1 were used. However, half of the participants pretended that they lived in the capital city of the lower country and started the geographical tour from there, whereas the other half pretended that they lived in the capital city of the upper country and started the tour from there. For the participants who started the tour from the lower country, half of them traveled to the upper country as their second country in the tour, whereas the other half traveled to the middle country as their second country in the tour. The same situation also applied to the participants who started the tour from the upper country. Half of them went to the lower country as their second country, whereas the other half went to the middle country as their second country. The same procedure as that in Experiment 1 was used, except for changes in the order in which triads of cities were learned. Results and Discussion On the basis of box plots, one outlier for longitudes in the group who started the tour from the lower country was deleted, as were two outliers for longitudes and one outlier for latitudes in the group who started the tour from the upper country. As in Experiment 1, these extreme outliers may have been caused by the fact that the participants sometimes totally forgot where the cities were and simply guessed. 902 Newcombe and Chiang Adults‘ Mean Estimated Latitudes in Experiment 2 80 Actual latitude Estimated latitude_md Estimated latitude_lw Estimated latitude_up Degrees of Latitude 70 60 50 40 30 20 10 id al M e at te rh or n Li m er ick Kr ef el d M yc en ae Ci ro n Ol dh am Tu sc Ro an sc om m on Ha m er sle y W ei m ar Ar m Fr as ca 0 Cities Adults‘ Mean Estimated Longitudes in Experiment 2 160 Actual longitude Estimated longitude_md Estimated longitude_lw Estimated longitude_up Degrees of Longitude 140 120 100 80 60 40 20 0 ar W ae en m ei M yc n ro Ci e al d el ef Kr sle id A rm m er Ha y ca as Fr a M an on ick am sc m er dh l Tu iL m O sc Ro rn ho r tte om Cities Figure 5. Adults’ mean estimated latitudes and longitudes in Experiment 2. md, middle country; lw, lower country; up, upper country. The results for Experiment 2 are presented in Figure 5. The Spearman rho correlation between actual latitudes and estimated latitudes for the group who was pretending to live in the lower country was .972, and the correlation for this group between actual longitudes and estimated longitudes was .958. Confidence intervals for latitude estimates across all participants pretending to live in the lower country indicated that all three cities in the upper country were placed significantly north of the actual latitudes and that the mean estimated latitude for one of the three cities (Frasca) in the lower country was significantly south of the actual latitudes. The latitudes for the northern cities of the middle country (including Ciron, Oldham, and Tuscan) were biased to the north of the actual latitudes. The southern cities of the middle country were not biased, except that Limerick was placed north of the actual lati- tude. Confidence intervals for longitude estimates across all participants for this group indicated that the deviation cities were Frasca, Krefeld, Matterhorn, and Roscommon. However, there were no predicted patterns for biases in longitude estimates. The Spearman rho correlation for the group who was pretending to live in the upper country between actual latitudes and estimated latitudes was .993, and the correlation for this group between actual longitudes and estimated longitudes was 1.00. Confidence intervals across all participants pretending to live in the upper country indicated that latitudes for two of the three cities (including Hamersley and Weimar) in the upper country were significantly north of the actual latitudes and that the mean estimated latitudes for two of the three cities (including Frasca and Armidale) in the lower country were signifi- Learning Geographical Information 903 cantly south of the actual latitudes. The mean estimated latitudes for cities in the middle country were not different from the actual latitudes, except for the northernmost city of Tuscan. In addition, confidence intervals for longitude estimates indicated that the deviation cities were Armidale and Hamersley. Thus, the pattern for both groups in Experiment 2 was very similar to that shown in the data from Experiment 1, although fewer of the contrasts with actual latitudes were individually significant. When the results from this experiment were combined with the results from Experiment 1, the patterns of performance for the three groups were similar, as Figure 5 shows. An ANOVA for latitude estimates showed no differences depending on home country [F(2,45) 5 1.159, MSe 5 333.715, p 5 .323]. In addition, there were no interactions between the three groups and the specific cities, suggesting that there was no more or less bias in one group than in another. In sum, Experiment 2 replicated Experiment 1, suggesting that which country was considered the home country was irrelevant to learning. The similar patterns of data also suggest that the amount of overlearning did not affect the results, because the groups differed in how often the various sets of cities were practiced. In addition, because the participants in Experiment 2 were entirely undergraduates receiving credit for participation, the data indicate that the results of Experiment 1 were not specific to participants (such as graduate students) who approach the learning task with motivation and accomplished study skills. Across the three groups, it seems that people tended to have more substantial biases for the northern cities than for the southern cities. Quantifying this comparison by calculating effect sizes showed that effect sizes (using a d statistic) for the three southernmost cities ranged from 0.6 to 1.06 with a mean of 0.8, whereas the effect sizes for the three northernmost cities ranged from 0.7 to 1.81 with a mean of 1.3. Although these patterns of bias suggest the possible operation of categorical processes, as in Experiment 1, there were no pronounced breaks across country borders, suggesting that the biases may have arisen more from shallow learning and the use of perceptual heuristics than from categorical learning. Also, as in Experiment 1, there were no consistent differences between adjacent cities in separate countries that would support the operation of categorical processing; one pair, but not the other, showed an exaggeration in degree of separation. We again examined whether there were latitude differentiations among cities within a country by computing regression slopes, using actual latitudes to predict estimated latitudes for the middle country. For the participants who started from the lower country, slopes were significantly larger than zero [t(17) 5 7.09, p 5 .000], and the same was true for those who started from the upper country [t(17) 5 8.82, p 5 .000]. The results again indicated that latitude estimates for cities within a country were significantly differentiated. It may be argued that simply analyzing latitude estimates is not the most powerful way of examining these data. Absolute and signed errors might provide a more sensitive index of the participants’ judgments. For ab- solute errors in Experiment 1 and for the two groups in Experiment 2, a mixed two-way ANOVA (3 countries 3 3 groups) showed a significant effect for countries [F(2,102) 5 55.137, MSe 5 1,088.541, p 5 .000], no effect for groups [F(2,51) 5 1.155, MSe 5 35.082, p 5 .323], and no interaction [F(4,102) 5 0.592, p 5 .669]. Post hoc comparisons indicated that there was a significant difference between the upper (M 5 14.12) and the middle (M 5 8.14) countries and a significant significance between the middle (M 5 8.14) and the lower (M 5 5.33) countries. This analysis basically shows that the northward bias is more pronounced than the southward bias, as was also shown by the effect sizes already reported. For signed errors, there was also a significant effect for countries [F(2,102) 5 98.419, MSe 5 3,133.736, p 5 .000] no effect for groups [F(2,51) 5 0.708, MSe 5 76.479, p 5 .498], and no interaction [F(4,102) 5 2.164, p 5 .078]. Post hoc comparisons indicated a significant difference between the upper (M 5 12.00) and the middle (M 5 4.88) countries and a significant difference between the middle (M 5 4.88) and the lower (M 5 23.22) countries. This analysis supports the conclusion that there is a substantial northward bias for the upper country and a smaller but reliable southward bias for the lower country. To characterize the consistency of the distortions across participants in Experiments 1 and 2, each participant’s signed errors were predicted from actual latitudes, using regression. The results showed that 51 of 54 total participants in the three groups showed positive regression slopes. The range of slope coefficients was from 20.161 to 1.4. These results suggested that the results for individual participants were generally consistent in their patterns of distortion with those for the group data. EXPERIMENT 3 Experiments 1 and 2 showed bias patterns reminiscent of those observed with North America by Friedman and Brown (2000a, 2000b), but with a more even overall pattern of estimates, lacking the between-country differentiation and the within-country homogeneity that they found. In Experiment 3, we sought to assess whether simple perceptual heuristics might be producing the biases observed in Experiments 1 and 2. Specifically, we situated our countries further north overall (see Figure 6) in order to assess whether learning and responding are primarily affected by figurative factors. Participants learning geography from texts and pictures such as ours might focus primarily on learning ordinal information and then simply spread their ordinal estimates over the available response space. If so, in Experiment 3, they should show a weaker northward bias and a stronger southward bias, because the response space offers more room for northward migration than was previously available and more room for southward migration. Essentially, the participants may be neglecting the landmark information in their responses, failing to relate what they learn to landmarks such as the equator or the arctic circle. 904 Newcombe and Chiang Figure 6. The original second map was moved up to a new position in Experiment 3. Method Participants. Eighteen undergraduate students from Temple University participated in this study for partial fulfillment of a course requirement. Materials and Design. The same stimuli were used, except that the second map used to illustrate latitude information was changed as shown in Figure 6. In this new map, the arctic circle was located just above the capital city of the upper country. All of the participants pretended that they lived in the capital city of the middle country and started the tour from there. Half of the participants received the lower country as their second country for the tour, whereas the other half received the upper country as their second country for the tour. Procedure. The same procedure as that in the previous experiments was used. Results and Discussion On the basis of the box plots, one extreme outlier for latitudes and two extreme outliers for longitudes were deleted. The Spearman rho correlations for this experiment between actual latitudes and estimated latitudes was .979, and the correlation between actual longitudes and estimated longitudes was .951. Confidence intervals for longitude estimates indicated that the deviation cities were Hamersley and Matterhorn. Because the participants’ mean estimated longitudes remained accurate, only mean estimated latitudes are shown in Figure 7, which reveals a pattern very different from that seen in Experiments 1 and 2. Confidence intervals across all participants indicated that almost all the estimates were significantly more south than they should have been. The only exceptions were the mean estimate for Roscommon, the mean estimate for Hamersley, which had the arctic circle just above it and was located accurately, and the mean estimate for Weimar, the northernmost city, which was estimated as significantly north of its actual latitude. In fact, the mean latitude estimates for Experiments 1 and 3 did not significantly differ [F(1,27) 5 0.044, MSe 5 252.303, p 5 .835], as they should have if Learning Geographical Information 905 Adults‘ Mean Estimated Latitudes With the Second Map Moved Up to the New Position in Experiments 3 & 4 80 Degrees of Latitude 70 60 50 40 30 20 Actual latitude Estimated latitude (Experiment 3) Estimated latitude (Experiment 4) 10 id al e at te rh or n Li m er ick Kr ef el d M yc en ae Ci ro n Ol dh am Tu sc Ro an sc om m on Ha m er sle y W ei m ar M Ar m Fr as ca 0 Cities Adults‘ Mean Estimated Latitudes With the Second Map in the Original Position in Experiments 1 & 4 80 Degrees of Latitude 70 60 50 40 30 20 Actual latitude Estimated latitude (Experiment 1) Estimated latitude (Experiment 4) 10 sc an om m on Ha m er sle y W ei m ar am Ro sc Tu n dh ro Ol Ci ae d en el ef yc M ick Kr er m Li rh or n e al id at te m M Ar Fr as ca 0 Cities Figure 7. Adults’ mean estimated latitudes in Experiments 3 and 4 (with the second map moved up to the new position) and adults’ mean estimated latitudes in Experiments 1 and 4 (with the second map in the original position). the participants were using the second map to place their geographic learning in a global context. This data pattern suggests that the participants might simply have evened out the space shown on the grid and then placed some cities at the north, some cities in the middle, and some cities at the south. That is, they might simply have used their figurative memory of the first map as a base for the grid task, without taking the subsequent information provided about placement on the globe adequately into account. This interpretation is supported by the fact that, yet again, as in Experiments 1 and 2, there were no pronounced breaks across country borders, also suggesting that biases may have arisen more from perceptual factors than from categorical learning. We again examined latitude differentiation among cities within a country by computing regression slope as in Experiments 1 and 2. The results indicated that the slope was significantly larger than zero [t(17) 5 12.648, p 5 .000]. Therefore, across experiments, it was consistent that there was differentiation among cities within a country. EXPERIMENT 4 Because Experiment 3 suggested that geographic learning in the circumstances of these experiments is basically shallow, in Experiment 4 we made several changes to our procedure, in an effort to induce categorical coding. First, we changed the map so that the three countries were 906 Newcombe and Chiang shown in distinctively different colors. Second, we added material to our narratives. Friedman & Brown (2000a, 2000b; Friedman, Brown, & McGaffey, 2002; Friedman, Kerkman, & Brown, 2002) have pointed out several factors that cause people to associate or “align” distant geographical regions with one another—namely, climate, political or cultural similarity, or physical attributes, such as mountains. We emphasized climate, adding material to the text that the participants read in which the middle country was in the temperate zone, the lower country had hotter weather, and the upper country had a colder climate. Quizzes on the climate information were also added to ensure that the participants attended to this information. Method Participants. Two groups with 18 undergraduate students each participated in this study for partial fulfillment of a course requirement. Materials and Design. The same basic stimuli as those in Experiment 1 were used for one group (with the second map in the original position), and stimuli from Experiment 3 were used for the other group (with the second map moved up to a more northerly position). However, countries were shown with backgrounds of a different color, material was added to the narratives to emphasize climate differences among the countries and cities in line with their latitudes, and three quizzes regarding climate information were added, for which the participants received feedback. All the participants pretended that they lived in the middle country and started the tour from there. As in the previous experiments, half of them traveled to the lower country as their second country, and the other half traveled to the upper country as their second country. Procedure. The same procedure as that in the previous experiments was used. Results and Discussion On the basis of box plots, three extreme outliers for latitudes and two extreme outliers for longitudes in the group with the second map in the original position were deleted, and three extreme outliers for latitudes and two extreme outliers for longitudes in the group with the second map moved up to the new position were also deleted. The results for Experiment 4 are shown in Figure 7. The Spearman rho correlation between actual latitudes and estimated latitudes for the northerly group with the second map moved up to the new position was .986, and the correlation between actual longitudes and estimated longitudes for this group was .972. The correlation between actual latitudes and estimated latitudes for the southerly group with the second map in the original position was .986, and the correlation for this group between actual longitudes and estimated longitudes was .972. Confidence intervals for longitude estimates of the northerly group indicated that the deviation cities were Hamersley and Roscommon; the deviation cities were Armidale, Krefeld, Limerick, and Oldham for the southerly group. As Figure 7 shows, the data for latitude estimates for the group using the materials of Experiments 1 and 2 are analogous to the data from those experiments, and the latitude estimates for the group using materials from Experiment 3 are similar to those seen in Experiment 3. Although biases seemed somewhat smaller than those observed previously, this effect was not reliable [F(1,26) 5 0.075, MSe 5 401.506, p 5 .169, for the comparison of the data for the southerly placed map with the data from Experiment 1, and F(1,29) 5 0.075, MSe 5 127.773, p 5 .787, for the comparison of people seeing the northerly placed map with those in Experiment 3]. Confidence intervals for the southerly group indicated that mean latitude estimates were shifted significantly southward for the cities of Frasca and Matterhorn in the lower country, significantly northward for the cities of Ciron and Tuscan in the middle country, and significantly northward for the cities of Roscommon, Hamersley, and Weimar in the upper country. For the northerly group, confidence intervals showed that mean latitude estimates were significantly shifted north for all the cities except three cities in the upper country. We again saw no consistent pattern of between-country breaks and within-country homogeneity. Therefore, overall, it appears that the efforts to increase conceptual processing and categorical organization by the use of color coding and requiring attention to climate information were not effective. Using a regression slope to examine the differentiation among cities within a country, we found that across participants, the regression slope was significantly larger than zero [t(17) 5 19.19, p 5 .000, for the northerly group; t(17) 5 17.459, p 5 .000, for the southerly group]. EXPERIMENT 5 Friedman and Brown (2000a, 2000b) found that people’s overall knowledge of geography was profoundly improved by learning the locations of several seed cities. Seeds not only improved people’s geographical knowledge in physically adjacent regions, but also advanced people’s knowledge in conceptually coordinated regions. Kerkman, Friedman, Brown, Stea, and Carmichael (2003) also found that children benefited from seeing seeds on a two-dimensional grid map of a continent. Brown and Siegler (2001) argued that “seeds are not anchors,”—that is, that the additional information acts by affecting the categorical structure of people’s knowledge, rather than by simply providing a few correct reference points with respect to which other values are estimated. In our learning situation, we did not find much evidence of categorical organization. An applied question then is whether providing some reference information can still work to improve spatial location estimates, perhaps by simply providing anchors by which to organize the ordinal-level information that the participants apparently focused on. That is, perhaps reference cities need not be seeds to work; they can also be anchors. Theoretically, the issue is whether effects of reference information are diagnostic of categorical organization. In this experiment, we explored whether incorrect latitude estimates of cities could be corrected and updated when people were offered correct placements for two cities on the grid. Method Participants. Eighteen undergraduate students from Temple University participated in this study for partial fulfillment of a course requirement. Learning Geographical Information 907 Materials and Design. The same stimuli were used, except that in the grid task, two chosen seed cities, Frasca (the capital city of the lower country) and Hamersley (the capital city of the upper country), were presented with the grid in every trial. All the participants pretended that they lived in the capital city of the middle country and started the tour from there. Half of them traveled to the lower country as their second country, whereas the other half traveled to the upper country as their second country. Procedure. The same procedure as that in the previous experiments was used. Results and Discussion The Spearman rho correlation between actual latitudes and estimated latitudes in this experiment was .988, and the correlation between actual longitudes and estimated longitudes was .976. Confidence intervals for longitude estimates indicated that the deviation cities were Krefeld, Limerick, Mycenae, and Oldham. The latitude results for Experiment 5 are presented in Figure 8. The participants’ latitude estimates were much improved over those seen in Experiments 1 and 2 and were close to the actual latitudes. Confidence intervals across participants indicated that their mean latitude estimates were not different from actual latitudes for most cities, except for the existence of small biases for the cities of Krefeld, Mycenae, and Weimar. There was again the differentiation among cities within a country: The results indicated a regression slope significantly larger than zero [t(17) 5 17.459, p 5 .000]. Thus, the seeding paradigm is indeed a powerful mechanism with which people may improve their performance in this situation. However, given the fact that people were likely using perceptual heuristics to organize their location recall, it is probable that providing two correct cities acted to improve performance more as anchors than as seeds. The effectiveness of the anchors reinforces the conclusion that the participants in these experiments were not attending closely to latitude information and were, in- stead, simply spreading their ordinal knowledge across the available response space. Future study might explore whether the improvement created by such anchors endures over time. Brown and Siegler (1996) did find such a long-term effect in their work on people’s estimates of population sizes, with benefits apparent even after 4 months. An additional question for future research might be the effectiveness of anchors taken from less extreme ends of the continuum than were the two cities we used as anchors in this study. Two cities from the middle country would establish a metric that might be useful but might not anchor the distribution of cities overall as effectively if it is vital for participants to receive information regarding endpoints. GENERAL DISCUSSION This article reports a first attempt to use hypothetical geography to study individuals’ mental representations of geographical spaces. Experiments 1 and 2 initially suggested some parallels to findings with real geography. First, people’s estimates for cities in the upper country were biased to the north, and their estimates for cities in the lower country were biased to the south. Second, people’s geographical representations did not depend on which area they were trained on first and were asked to consider as their home. However, the data were inconsistent with the real-geography findings in that there were no consistent categorical breaks between countries, and there was also evidence of reliable within-country differentiation. Although not definitive, these observations suggested that the students in our learning situation might not be forming strong categorical representations of the kind observed with real-world locations. Experiments 3 and 4 provided clearer support for the conclusion that the participants in this learning situation relied primarily on figurative memory and perceptual heuristics. In Ex- 80 Actual latitude Estimated latitude 60 50 40 30 20 10 m ar W ei m on ca n sc om Ro Tu s am Ol dh ro n Ci yc en ae el d M ef Kr er ick n m Li ho r te r M at m id al e 0 Ar Degrees of Latitude 70 Cities Figure 8. Adults’ mean estimated latitudes after seeding in Experiment 5. 908 Newcombe and Chiang periment 3, shifting our continent northward markedly affected the nature of the biases we observed, in a fashion consistent with the idea that people concentrate on ordinal ranking of cities along the north–south dimension but do not integrate their figurative memory of the first map with the location information available only on the second map. In Experiment 4, manipulations that should have strengthened the participants’ categorical organization had no effect on estimates, which showed the same patterns as those observed in the previous experiments. Finally, despite the lack of categorically based organization, Experiment 5 showed that the provision of two correctly placed locations allowed people to place other cities with excellent accuracy, likely because the information provided anchored the ordinal information that people had encoded. The data from these experiments are not inconsistent with those from prior work. In past research implicating categorical organization of locations, either knowledge of real-world geography has been examined (the Friedman & Brown studies; Hirtle & Jonides, 1985; Newcombe & Liben, 1982; Stevens & Coupe, 1978, Experiment 1), or simple small-scale spaces organized implicitly or explicitly by horizontal and vertical axes have been dealt with (Huttenlocher et al., 1991; Stevens & Coupe 1978, Experiments 2 and 3). We see our work as opening up a new array of questions concerning the nature of the learning of complex spatial material interwoven with nonspatial facts. Overall, these experiments suggest that “book learning” of geography is likely to be much more figurative and much less categorical than knowledge of real geography, which is gained partly from text read and thought about over many years, as well as from film, TV shows, conversation, and actual travel. What are the crucial differences between initial exposure to geographical information and the knowledge we have of the real world? One obvious candidate is travel, which might be expected to provide vivid experiences that lead to more robust categorization of countries and regions. Unfortunately, however, there is no definitive evidence that travel improves the accuracy or organization of geographical knowledge independently of other factors with which it is naturally correlated, such as age, interest, or socioeconomic class. Correlational analyses have sometimes shown that there are relations of travel with other factors controlled (Rutland, 1998), but contrary results have also been reported (Bourchier, Barrett, & Lyons, 2002). A second possibility for why real-world geographic knowledge is more categorical than the learning that the participants showed in the present experiments is that formation of geographical categories may require the slow accumulation of more facts and stereotypes about countries and regions than we were able to provide in our materials. For example, Americans likely learn about Mexico from a variety of movies, music, and newspaper articles as much as they learn about the country in more formal schoolbased geography classes. In fact, the differences between Mexicans and Americans in regional organization of their respective countries found by Friedman et al. (2005) sug- gest the possible importance of such processes. The fact that children begin to show categorical organization of geography around the middle school years (Kerkman et al., 2003) is consistent with the hypothesis that learning a rich array of facts and stereotypes supports the development of this kind of representation. The present data have implications for the effective teaching of geography. The pessimistic conclusion is that it is very difficult to support learners in building wellcalibrated representations of the physical world, because people are prone to forming figurative memories that do not deeply integrate across two mapping representations. Although it is possible that children or adolescents learning in school are more motivated to deep processing than were the participants in our experiments, the relatively low level of geographical knowledge found in surveys of the American public would argue that shallow processing may be common. If so, our data stand as a challenge to geography educators to devise methods for inducing deeper processing. Our materials could possibly provide a technique for evaluating proposed methods in a way that would be independent of confounds from varying preexisting knowledge of the real world. In addition, future work could examine children’s acquisition of geographical knowledge in the course of school-based exposure. Overall, relatively little research in cognitive psychology and cognitive development has examined the acquisition of geographical information, especially under well-controlled conditions. Given the importance of such knowledge to being a well-prepared citizen of the modern world, understanding how to help support spatial learning and reasoning in this context should be an important goal of future research. Author Note This research was supported by grants from the National Science Foundation (EHR/ROLE 0087516 and 0337360). Address all correspondence to N. S. Newcombe, Department of Psychology, Temple University, 1701 N. 13th Street, Philadelphia, PA 19122 (e-mail: newcombe@ temple.edu). REFERENCES Blades, M., Lippa, Y., Golledge, R., Jacobson, R. D., & Kitchin, R. (2002). 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