Results Directory UMM :Data Elmu:jurnal:E:Economics of Education Review:Vol19.Issue4.Oct2000:

322 D.H. Monk et al. Economics of Education Review 19 2000 319–331 Table 1 Characteristics of the ‘all-Regents’ case study sites Urban Suburban Rural Eastern 2 Northern 1 1 Western 1 1 Central 1 Southern Hudson 2 Long Island 1 Total 2 6 2

3. Results

Table 2 reports basic descriptive statistics that are use- ful to keep in mind. During the 1992–93 school year, on average, 65 of the students enrolled in grades 9–12 in New York State high schools excluding the Big 5 city districts were taking Regents examinations. The inci- dence of Regents test taking increased significantly over the period we studied and by the 1996–97 school year it had reached close to 76, better than a 10 percentage point gain. A particularly large percentage increase can be observed for New York City in Table 2. Regents par- ticipation increased in New York City by more than 30 percentage points during the four year period we studied. Part of this increase can be explained by a dramatic increase in the participation rate in mathematics i.e. it increased by 55 percentage points. 8 On the other hand, the Big 4 districts Buffalo, Rochester, Syracuse, and Yonkers did not register similar increases. In fact, we found an average decline for this group. A closer exam- ination of the Big 5 districts revealed that the partici- Table 2 Mean participation rates for regents achievement examinations a with standard deviations in Whole state NYC n = 1 Big 4 n = 4 n = 580 1992 Average 65.27 30.50 55.19 participation 12.88 – 15.58 1996 Average 75.97 63.75 49.00 participation 15.22 – 16.92 Ave change in 10.70 33.25 26.19 particip 92–96 14.12 – 3.70 a Figures are averages of the percentage of students in grades 9–12 taking Regents achievement examinations in Course I mathematics, English, Global Studies, and US History. 8 As well, the participation rates in other Regents examin- ations i.e. English, Global Studies, and US History increased an average of 25 percentage points. pation rate for New York City in 1992 was much lower compared to the Big 4 and hence the dramatic increase over the next four years brought the participation rate closer to its counterpart city districts. We also note that the average decline in participation for the Big 4 is mostly explained by declines in participation for Buffalo and Rochester both decreased in the neighborhood of 9 percentage points. We were unable to correlate any of the structural features of these city districts to the changes in participation. With regards to the implications of these changes for the Big 5 districts, we found that the percentage of test takers passing Regents examinations increased for the Big 4 by approximately 5 percentage points while this statistic declined by 12.75 percentage points for New York City. Also, it is interesting to note that the academic staff per 1000 district pupils for the Big 4 remained intact during this time period while New York City experienced a decrease in the academic staff. The standard deviations in Table 2 warrant comment. There is a significant degree of variation around the means that we report. Indeed, for the State as a whole in 1992–93 the districts ranged from a low participation rate of 20.3 to a high of over 100. 9 In 1996–97, the districts ranged between a low of 20.5 and a high of 152.8. We also found that while the average rate of participation grew over the period, participation rates in no fewer than 107 districts declined. Fig. 1 provides an illustration of how the districts are distributed across dif- ferent magnitudes of change in participation during the period. The figure makes it quite clear that some districts have been moving in a direction that runs counter to the State’s current efforts to increase Regents examination participation rates. Question 1: What explains the willingness or ability of school districts to increase Regents examination participation rates? Fig. 1. Changes in percentage of 9–12 enrolments taking Regents’ exams 1992–96. 9 The percentage can rise above 100 because the enrollment count is restricted to four grade levels. The exams themselves are not restricted to these four grade levels. 323 D.H. Monk et al. Economics of Education Review 19 2000 319–331 3.1. Results from the statewide data As we realized how varied New York districts are with respect to both the level of participation in the Regents exam program and their inclination to increase these par- ticipation rates, we became interested in seeing if we could identify structural characteristics that are associa- ted with these phenomena. In particular, we wanted to know if there are some clear distinguishing character- istics of the districts that increased the percentage of stu- dents who participated in the Regents testing program, and we thought it would be useful to look at relationships between the structural features we identified district type, property wealth, incidence of poverty, and size and both the incidence of test taking in 1992 and changes in test taking between 1992 and 1996. Our regression results suggest that many different types of districts are represented among those who increased their Regents participation rates during the per- iod we studied. In other words, we found no evidence suggesting that increasing districts were more likely to be urban rather than suburban or rural, large rather than small, or wealthy in terms of property wealth rather than poor. One notable exception to this involves our measure of the incidence of poverty where we did find that higher levels of poverty were associated with both lower levels of Regents participation in 1992 and smaller increases in participation between 1992 and 1996. More specifi- cally, we found that a 10 higher incidence of poverty in 1992 was associated with a 7.34 decline in the rate of participation over the next four years see Table 3. 10 Another exception is the positive correlation between increases in full value per pupil and participation in Regents’ examinations between 1992 and 1996. We also found that districts reporting high partici- pation rates in 1992 reported smaller increases in partici- pation over the period we studied. We interpret this as a ceiling effect in the sense that if the district already has a high rate of participation, it becomes more difficult to increase the rate further. The marginal cost of increas- ing participation rates must surely rise with the percent- age of students participating at the outset, and the nega- tive relationship we are finding in our regression analyses between 1992 participation rates and sub- sequent increases in participation is consistent with this expectation. 10 This marginal effect is determined by calculating the elas- ticity at the mean values and then multiplying it by 10. The New York State average measures for incidence of poverty in 1992 and change in participation are 0.28 and 10.70 respect- ively. Hence, the elasticity is dydxxy = 227.90.2810.7 = 20.734. 3.2. Results from the case studies The case studies reveal a number of ‘critical factors’ that appear to have important influences on school dis- tricts’ willingness or ability to move forward with an ‘all-Regents’ reform agenda. Table 4 provides a list of these characteristics. We hasten to point out that we can- not generalize from this list. Nor is it the case that all of these phenomena were found in each of the ten case study sites. The list provides a sampling of the kinds of things respondents mentioned when they were asked about what gave rise to the reform. We have several observations to make about the list. First, some of the items are not easily transferred from one place to another. For example, ‘amicable relation- ships with bargaining units’ can be elusive, and the case studies do not offer much insight into what needs to be done to increase Regents participation rates in places where labor relations are less than good. Second, and in contrast, some of the items look like they are relatively easy to transfer to other sites. For example, we were impressed with how the maintenance of some kind of upper-level honors program seemed to make it easier to raise Regents participation rates. And third, we were struck by the fact that a number of the items require a willingness of leaders at the local level to take real risks. We think the last two items on the list fall into this category. It takes considerable self- confidence to convince teachers and parents that the necessary support will be provided when the uncertainty surrounds the source, magnitude and nature of this sup- port. Question 2: What have been the effects on student performance? We dealt explicitly with two aspects of student per- formance: changes in test score results and changes in drop-out rates over the period. These findings all come from the statewide data, and we discuss our results for each aspect of student performance in turn. 3.2.1. Changes in the percentage of students passing We found that for the State as a whole, the passing rate for the non-Big 5 districts went up by 2.68 percent- age points. The increase was the largest for the districts that decreased participation. It went up by better than eight points for these districts. The magnitude of the average increase went down as the magnitude of the change in participation rate increased and turned nega- tive for the districts that increased their participation the most. We can also gain insight into the nature of this relationship by looking at the scatter plot that appears in Fig. 2. The plot portrays each of the districts in terms of its change in participation and its change in student 324 D.H. Monk et al. Economics of Education Review 19 2000 319–331 Table 3 Predictors of initial percentage of students in grades 9–12 taking Regents’ examinations in 1992 and predictors of changes in the percentage of students in grades 9–12 taking Regents’ achievement examinations a between 1992 and 1996 b,c,d Participation ’92 Change in participation OLS WLS OLS WLS Urban 20.4309 1.864 0.189 1.319 20.326 2.192 21.79 1.692 Rural 1.143 1.234 1.070 1.441 0.147 1.449 20.515 1.787 ln FV ’92pupil 0.926 0.717 20.911 0.723 23.02 e 0.914 21.87 1.100 Poverty ’92 231.75 3.684 241.60 3.158 229.84 4.64 227.90 4.345 ln size ’92 0.233 0.633 0.0227 0.593 21.413 0.7811 20.892 0.7323 DFull valuepupil – – 6.19E-06 4.04E-06 1.20E-05 4.87E-06 DPoverty – – 211.12 8.79 216.04 9.07 Dsize – – 4.23E-04 0.0029 29.46E-04 0.0017 Participation ’92 – – 20.501 0.047 20.4217 0.049 Constant 60.230 87.28 100.496 77.26 Adjusted R 2 0.196 0.312 0.193 0.145 Sample size 580 559 Mean value 65.27 10.755 a The dependent variable is an average for Course 1 mathematics, English, Global Studies, and US History. b The sample does not include the Big 5 districts and the districts for which participation and performance information is not avail- able. c The WLS has been weighted by 8–12 enrolments. d Regression coefficients with standard errors in . e P ,0.1, P,0.05, P,0.01. Table 4 Precursors and precipitators of movement toward ‘all-Regents’ programs. Findings from the ten case studies Administrative turnover A cooperative internal unit e.g. a department within a high school Ability and willingness to block alternatives to the regents exams e.g. requirement of a superintendent’s hearing Amicable relationships with bargaining units Commitment to the maintenance of an honors track Maintenance of data and the monitoring of progress Willingness to view the reform as k12 rather than secondary school only Perception in the community that necessary support services will be available Perception among teachers that appropriate inservice programs will be available performance. The change in participation is on the hori- zontal axis and the change in performance is on the verti- cal axis. There are several things to notice in the scatterplot. First, the drift of the points is negative suggesting that higher rates of increase in participation are associated with smaller increases in performance. Second, most of the points are above the horizontal line, suggesting that in most of the districts there have been increases in pass- ing rates. And third, there is a more even distribution of cases above and below the horizontal line for the districts with increasing compared to decreasing participation rates. Next, we turn to our regression models to examine the effects of changes in participation rates when controlling for a variety of characteristics such as structural features of districts, initial performance of districts in 1992, and the baseline participation rate in 1992. We find that the negative correlation between changes in participation and performance between 1992 and 1996 continues to hold. For instance, according to the WLS regression model, a 10 increase in the change in participation variable is associated with a 9.9 decrease in the change in performance variable 11 see Table 5. We expected to find that the higher the initial partici- pation rate, the more difficult it would be to maintain or 11 Note that the comparative statics imply that the marginal effect of change in participation variable is not too large. To see this, consider a school district with a total of 100 students in grades 9–12. Assume that this hypothetical district has par- ticipation and performance statistics that are identical to the state average. Specifically, assume that the participation rates are 65.27 and 75.97 in 1992 and 1996 respectively and the performance rates are 85.14 and 87.90 in 1992 and 1996 respectively. Then it can be shown that a 10 increase in change in participation variable implies a 18.03 increase in the baseline participation rate i.e. participation rate in 1992. Similarly, the resulting 9.9 decrease in change in passing vari- able reflects a modest 2.7 decrease in the baseline perform- ance rate. 325 D.H. Monk et al. Economics of Education Review 19 2000 319–331 Fig. 2. Changes in performance and participation without the Big 5 districts 1992–96. Table 5 Predictors of changes in the percentage of test takers who passed Regents’ achievement examinations a 1992–96 and predictors of changes in the drop-out rate between 1992 and 1996 b,c,d D in percentage of test takers who passed D in percentage of total enrolments that regents achievement examinations dropped out between 1992 and 1996 OLS WLS OLS WLS Urban 1.483 1.184 1.253 0.870 0.025 0.265 0.302 0.217 Rural 1.794 0.782 1.303 0.915 20.053 0.173 0.152 0.222 ln FV ’92pupil 20.708 0.498 1.021 e 0.561 20.140 0.110 20.323 0.138 Poverty ’92 219.658 2.830 215.465 2.618 4.072 0.600 3.673 0.604 ln size ’92 20.700 0.422 20.965 0.374 0.226 0.096 0.238 0.093 DFull valuepupil 1.421E-06 6.88E-06 23.306E-07 22.416E-07 2.186E-06 2.494E-06 4.825E-07 6.071E-07 DPoverty 217.503 4.777 217.743 4.662 0.335 1.050 21.341 1.131 DSize 0.001 0.001 2.193E-04 8.934E-04 23.695E-05 3.558E- 1.415E-04 2.200E-04 04 Participation ’92 20.156 0.028 20.125 0.027 20.011 0.006 20.008 0.006 DParticipation 20.309 0.023 20.248 0.021 20.012 0.005 20.013 0.005 Performance ’92 columns 1, 2 20.677 20.573 20.792 20.797 Dropout rates 92 columns 3, 4 0.043 0.048 0.043 0.046 Constant 93.638 61.576 1.665 3.72 Adjusted R 2 0.452 0.346 0.381 0.368 Sample size 559 559 Mean value 2.681 20.076 a The dependent variable is based on the average for Course 1 mathematics, English, Global Studies, and US History. b The sample does not include the Big 5 and the districts for which participation and performance information is not available. c The WLS has been weighted by 8–12 enrolments. d Regression coefficients with standard errors in . e P ,0.1, P,0.05, P,0.01. 326 D.H. Monk et al. Economics of Education Review 19 2000 319–331 increase performance rates. We reasoned that students with greater educational needs would be entering the testing program as the participation rates reached higher levels and that these students would place increasing demands on the resource base that was available within the school. Our estimates from the regression models 12 do not reveal such a tendency. Specifically, we found that the marginal negative effect of the change in partici- pation variable decreases in magnitude with the baseline participation rate. In other words, the relative size of the negative effect depends upon where on the scale the dis- trict began. These results suggest that large increases in participation pose greater challenges for districts at lower starting points. Table 5 columns 1 and 2 also shows that the districts with low starting points experienced less difficulty in their efforts to maintain and increase pass- ing rates. 3.2.2. Changes in the percentage of students dropping- out Critics of increased high school graduation require- ments often express concern about the potential for higher requirements to discourage persistence in school and thereby increase drop-out rates. Therefore, we look to see if changes in Regents participation rates between 1992 and 1996 were related to changes in drop-out rates, as calculated by the State Education Department. We realize that changes in Regents participation rates were not directly linked to high school graduation require- ments during the period we studied, but we believe these analyses are relevant since the districts that increased participation were signaling increased expectations for academic performance. We were interested in seeing if these increased expectations translated into significant changes in the rates at which students left high school. The last two columns of Table 5 report the effects of predictor variables on changes in the percentage of drop out rates. Here we can see that districts with larger increases in participation did not report increases in their drop-out rates over the period. In fact, the regression models suggest that the relationship was actually nega- tive, and this has led us to the conclusion that these data reveal no evidence that increases in participation led to increases in drop-out rates during this period. 12 To see whether the effects of increases in participation were dfferent across districts with different initial participation rates, we included in our basic additive effects model an inter- action term between initial participation rate and changes in participation between 1992 and 1996. This term allows the effect of change in participation to differ according to the level of the initial participation. The coefficient on this term was sig- nificant and positive. The results from these regression models are not reported in Table 5 and are available from authors upon request. Question 3: What have been the changes in resource allocation behavior? We used the statewide data to examine changes in dis- trict resource allocation behavior at several levels, including overall spending levels and more narrowly focused measures of staffing allocations. We also took advantage of the case study interviews to ask questions about how the ten districts changed their resource allo- cation behavior. We begin with a report on what we learned from the statewide data, and then turn to the results from our case studies. 3.3. Results from the statewide data 3.3.1. Changes in spending per pupil Efforts by the Regents to raise graduation standards generate concerns about the adequacy of the underlying resource base. Questions are commonly asked about whether the State will be able to afford the costs associa- ted with fulfilling the higher expectations. Answering such questions is difficult, and the difficulty is com- pounded by the absence of clear information about how much it will cost to realize the reformers’ goals. We hope to contribute fruitfully to this debate by examining what happened to spending levels in the dis- tricts that increased their Regents participation rates rela- tive to others. On average, the non-Big 5 city districts in the State increased their spending by 1240 between 1992 and 1996. In order to examine the determinants of the change in spending levels, we turned to our regression models. Table 6 reports what we found and follows the same format that we used for the previous analyses. Changes in full value per pupil property wealth per pupil and incidence of poverty were the only variables that significantly explain change in spending between 1992 and 1996. It thus appears that the magni- tude of the change in participation has little to do with changes in spending levels. Table 6 also examines the impact of the initial partici- pation rate on subsequent spending changes. Our think- ing was that marginal costs ought to be higher in places that are increasing participation rates from already high levels and that this might manifest itself in the form of larger expenditure increases in those districts that are increasing participation from already high levels. 13 Our analyses show no evidence of larger expenditure increases in the districts that are moving their partici- 13 Again, we examined the interaction between initial partici- pation and changes in participation on the change in spending variable while controlling for other influences on spending. The interaction term was not significantly different from zero. The results are not reported in this paper but are available upon request. 327 D.H. Monk et al. Economics of Education Review 19 2000 319–331 Table 6 Predictors of change in spending levels per pupil between 1992 and 1996 a,b,c OLS WLS Urban 227.947 139.144 204.07 189.450 Rural 32.567 229.475 135.777 198.056 ln FV ’92pupil 173.639 349.501 d 129.227 173.584 Poverty ’92 8.218 25.225 489.848 573.733 ln size ’92 25.088 72.660 70.805 80.439 DFull valuepupil 0.003 0.003 3.801E-04 5.740E-04 DPoverty 1639.913 1464.335 825.073 998.208 DSize 20.536 d 20.393 0.278 0.194 Participation ’92 20.464 4.889 27.97 5.828 DParticipation 21.298 3.959 22.433 4.659 Performance ’92 6.233 29.388 7.548 10.379 Spending per pupil ’92 0.039 20.100 0.037 0.050 Constant 21877.742 21440.208 Adjusted R 2 0.180 0.141 Sample size 559 Mean value 1244.235 a The sample does not include the Big 5 and the districts for which participation and performance information is not avail- able. b The WLS has been weighted by 8–12 enrolments. c Regression coefficients with standard errors in . d P ,0.1, P,0.05, P,0.01. pation levels into the upper reaches of the range. It is clear that districts, during this period, did not accommo- date the needs of the new students entering their Regents programs by spending additional dollars. 3.3.2. Changes in staffing levels per pupil We turn now to some alternative measures of staffing. We used BEDS data to construct measures of how the time of professional personnel is allocated across differ- ent areas of the instructional program. In making these calculations, we used a methodology developed pre- viously in conjunction with a study of microlevel resource allocation for education Monk, Roelke Brent, 1996. We began with the total FTE count of pro- fessional personnel and then worked our way toward more narrowly drawn categories of use. On average, the staffing level per 1000 pupils in the State increased by 2.26 professional i.e. certificated personnel for the non-Big 5 districts between 1992 and 1996. It is interesting to notice that the increase tended to be larger in the districts that increased their Regents participation rates the most. Table 7 provides the now familiar determinants with the focus on changes in the number of professional staff, academic staff, and second- ary special education staff. According to our WLS regression model, a 10 point increase in the change in Regents participation variable is associated with a 1.23 increase in the change in the total number of professional staff per 1000 pupils. It appears that while districts with large increases in their Regents participation rates have not been spending more dollars, they have been careful to protect the numbers of professional staff that are working with pupils. As for resource allocation effects in places that started from the higher starting points, we found mixed results. In particular, districts with both low and high starting points did not show decreases in personnel per pupil. 14 Perhaps the best conclusion to draw is that large increases in participation, regardless of the starting point, occasioned significant reallocations of resources. Next, we provide an analysis of resources that are allo- cated into the academic portion of the curriculum between 1992 and 1996. We defined ‘academic’ to include courses in the following subject areas: English, foreign language, mathematics, music and art, physical education, science, and social studies. Overall the staffing levels in the academic area of the curriculum experienced an overall decline of 0.43 personnel per 1000 pupils between 1992 and 1996. Recall that the state experienced an overall increase in professional personnel during the period. It thus appears that academic subject areas’ share of resources within districts experienced a slight decline. Further analysis revealed that growth occurred for special education personnel. In particular, we found that for the State as a whole, the investment in special education increased on average by 2.67 pro- fessional personnel per 1000 pupils between 1992 and 1996. 15 While there has been an overall decline in New York State in the average investment of personnel resources in the academic portion of the instructional program between 1992 and 1996, the positive direction of the WLS regression coefficient for the change in partici- pation variable column 4 in Table 7 suggests that that 14 This was determined by adding a second order interaction term between initial participation rate and change in the partici- pation in the model. The coefficient on this term was not statisti- cally different from zero. We have not included this equation in Table 7, however, the results are available from authors upon request. 15 The relative level of investment of resources in subject area teacher in contrast to special education forms of teaching has been the subject of recent scholarly research. For examples, see Lankford and Wyckoff 1995 and Miles 1995 and Miles 1995. 328 D.H. Monk et al. Economics of Education Review 19 2000 319–331 Table 7 Predictors of changes in professional staffing levels a per 1000 pupils between 1992 and 1996 b,c,d D in total staff1000 pupils D in academic staff1000 pupils D in second. special educ. staff 1000 pupils OLS WLS OLS WLS OLS WLS Urban 20.361 0.860 0.349 0.573 20.005 3.94 0.109 0.250 0.094 0.238 20.195 0.168 Rural 20.682 0.563 20.240 0.598 0.227 0.259 0.361 0.264 20.261 0.160 20.259 0.178 ln FV ’92pupil 1.836 e 1.872 0.680 0.425 0.568 0.363 0.482 0.458 0.202 0.184 0.104 0.114 Poverty ’92 5.304 5.528 0.972 0.354 0.078 0.628 2.044 1.724 0.937 0.753 0.571 0.510 ln size ’92 20.197 20.795 20.628 20.664 20.011 0.129 0.352 0.263 0.164 0.120 0.088 0.074 DFull valuepupil 1.42E-05 1.02E-05 6.46E-06 4.31E-06 6.79E-8 24.93E-7 1.612E-06 1.63E-06 7.40E-07 7.186E-07 4.397E-7 4.28E-7 DPoverty 8.281 1.137 21.876 22.486 3.372 2.06 3.455 3.046 1.586 1.340 0.959 0.902 D size 20.066 20.004 20.002 20.001 28.06E-4 28.63E-4 0.001 5.996E-04 5.357E-04 2.619E-04 3.248E-4 1.73E-4 Participation ’92 0.011 0.027 0.014 0.021 20.008 20.002 0.020 0.017 0.009 0.007 0.005 0.005 DParticipation 0.010 0.026 0.005 0.014 20.007 20.001 0.016 0.014 0.007 0.006 0.004 0.004 Performance ’92 0.022 0.031 0.051 0.031 0.011 0.014 0.028 0.014 0.012 0.008 0.016 0.009 Total staff ’92 columns 20.062 20.158 20.186 20.252 20.283 20.231 1, 2 Academic staff ’92 0.026 0.028 0.024 0.026 0.060 0.053 colums 3, 4 Sec. Sp. Ed. staff ’92 columns 5, 6 Constant 217.544 210.022 20.995 2.211 24.369 23.857 Adjusted R 2 0.207 0.223 0.235 0.302 0.107 0.083 Sample size 559 559 559 Mean value 22.332 20.358 2.651 a The total staff is a sum of FTE instructional and administrative staff1000 pupils. The instructional staff is an aggregate of elementary, vocational, academic, and special education professional staff. The academic staff is a a sum of secondary staff1000 pupils in math, English, social studies, science, foreign language, physical education, music, and art. b The sample does not include the Big 5 and the districts for which participation and performance information is not available. c The WLS has been weighted by 8–12 enrolments. d Regression coefficients with standard errors in . e P ,0.1, P,0.05, P,0.01. districts with the greatest increases in Regents partici- pation are the most inclined to ‘protect’ their investments in academic subject area teaching. Specifically, the WLS model suggests that an increase of 10 percentage points in the change in participation variable was associated with a 4.32 increase in the change in academic staffing ratio. The effects of the starting points in 1992 are also inter- esting. Specifically, we found that the districts with higher starting points actually increased their invest- ments in the staffing of academic courses. Indeed, the largest increase in staffing can be seen for the highest participation gain districts that started from the highest initial level of participation. The last two columns of Table 7 reveal a weak nega- tive association between change in participation rate and change in special education staff. However, it is important to note that this negative relationship is insig- nificant according to the WLS estimation technique. Finally, in Table 8, we refine our analyses and focus on investments of professional staff resources across advanced, ‘regular,’ and remedial course offerings within the academic portion of the curriculum. 16 16 Courses were considered ‘advanced’ if their titles were modified by terms like advanced, advanced placement, college, or honors. Courses were considered ‘remedial’ if their titles were modified by terms like basic or remedial. ‘Regular’ courses constituted the residual category. Courses in music and art and physical education were excluded from these analyses since there was no distinction drawn among remedial, regular, and advanced versions of the courses. 329 D.H. Monk et al. Economics of Education Review 19 2000 319–331 Table 8 Predictors of changes in professional staffing levels a per 1000 pupils within the academic program between 1992 to 1996 b,c,d D in total advanced staff per D in total regular staff per 1000 D in total remedial staff per 1000 pupils pupils 1000 pupils OLS WLS OLS WLS OLS WLS Urban 20.028 0.081 20.048 0.06 0.196 0.283 0.275 0.189 0.009 0.146 20.038 0.083 Rural 20.011 0.053 20.017 0.063 0.313 0.186 0.367 e 0.199 20.043 0.096 0.003 0.087 ln FV ’92pupil 0.148 0.183 0.361 0.017 0.038 20.025 0.038 0.044 0.141 0.131 0.061 0.053 Poverty ’92 20.167 0.195 0.078 0.18 0.384 0.673 20.309 0.568 0.390 0.354 0.505 0.252 ln size ’92 0.124 0.097 20.569 20.661 20.239 20.134 0.032 0.028 0.118 0.092 0.051 0.036 DFull valuepupil 23.824E-07 9.15E-8 4.15E-6 2.37E-6 8.52E-07 1.76E-07 1.503E-07 1.727E-07 .5.37E-7 5.412E-7 2.695E-07 2.369E-07 DPoverty 20.240 20.240 21.87 1.14 22.386 0.849 0.424 0.328 0.322 1.01 0.593 0.442 DSize 23.48E204 22.55E-04 20.001 24.15E-4 23.399E-04 21.91E-04 1.12E-04 6.484E-05 3.84E-4 1.95E-4 1.988E-04 8.487E-05 Participation ’92 0.002 0.003 0.007 0.01 20.001 23.78E-4 0.002 0.001 0.006 0.005 0.003 0.002 DParticipation 6.81E-4 0.002 0.012 0.012 20.01 20.005 0.001 0.001 0.005 0.004 0.002 0.002 Performance ’92 24.9E24 0.001 0.003 0.013 0.002 0.006 0.003 0.003 0.01 0.01 0.005 0.004 Advanced staff ’92 20.238 20.153 20.227 20.280 20.383 20.350 columns 1, 2 Regular 0.030 0.026 0.023 0.027 0.034 0.029 staff 92 colums 3, 4 Remedial staff 92 columns 5, 6 Constant 22.467 22.817 2.863 7.79 1.707 1.055 Adjusted R 2 0.103 0.057 0.279 0.310 0.210 0.225 Sample size 559 559 559 Mean value 0.076 20.306 20.341 a The dependent variables include math, science, English, social studies, and foreign language. b The sample does not include the Big 5 and the districts for which participation and performance information is not available. c The WLS has been weighted by 8–12 enrolments. d Regression coefficients with standard errors in . e P ,0.1, P,0.05, P,0.01. Table 8 reveals some noteworthy relationships between increases in Regents participation rates and the distribution of teacher resources among advanced, reg- ular, and remedial academic course offerings. In parti- cular we found rather striking positive relationships between the magnitude of the increase in participation and the investment of resources in regular versions of academic courses. It is clear that districts with the high- est increases in Regents participation rates have been shifting resources away from remedial courses and toward regular courses. According to our WLS regression results, a 10 increase in the change in Regents participation variable is associated with a 4.63 increase in the change in staffing ratio for regular aca- demic courses and a 1.63 reduction in the change in staffing of remedial academic courses. 3.4. Results from the case study data The case studies provide information about how the ten sites changed resource allocation practices as they made efforts to move toward an ‘all-Regents’ program. Table 9 provides a list of the different devices the respondents talked about utilizing. These can be grouped into three broad categories. The first involves efforts to provide additional class time for students needing the extra assistance. These efforts involved doing things like: moving to a nine period day; reducing the use of study halls; making it possible for a student to take a Regents course over more than two semesters; and making it possible for students to attend extra periods of instruction while they were enrolled in Regents classes. The second category involves efforts to provide more 330 D.H. Monk et al. Economics of Education Review 19 2000 319–331 Table 9 Resource allocation responses to ‘all-Regents’ reforms. Find- ings from the ten case studies Timingscheduling Develop a 9 period day Schedule students needing assistance for additional regular instructional periods: Increase the number of classes during a semester; andor Increase the number of semesters of instruction typically three or four rather than two Reduce the use of study halls and focus any remaining study halls on academic work Make greater use of ‘unconventional’ time and methods for instruction and extra help Use time between the close of school and the start of practices and club activities, evenings, and summers. Use innovative technologies: Web pages and telephone hot lines for help Utilization of professional staff Increase the use of teaching assistants Upgrade the curricula through increased professional development Reduce class size Shift teachers from study hall and other ‘duty’ periods into instructional roles Establish academic help centers Provide regents review sessions instructional opportunities outside of regular school hours. These changes included: providing Regents review sessions in the evenings; establishing a telephone hot line for students with questions about their Regents courses; making use of new technologies like Web pages to provide support for students; and using time between the end of the school day and the start of extra curricular activities for some additional study time. The third category involved making changes in the type of instruction that was being offered. Here we heard reports of districts: making greater use of teaching assist- ants to supplement what classroom teachers were able to provide; taking steps to reduce class size; and increasing the quantity as well as the quality of professional devel- opment for teachers. We also asked the case study districts about how they paid for all these changes. Our respondents confirmed what we found using the statewide data: It is not the case that these districts made increases in their spending lev- els per pupil. The story coming from these districts is much more a story of making efforts to re-allocate exist- ing resources. Table 10 provides a list of the strategies the case study respondents talked about as they reflected upon their efforts to pursue reform. In particular respondents in these districts talked about: limiting growth in salaries so that the savings could be used to hire new staff; using Table 10 Resource allocation strategies. Findings from the ten case stud- ies Limit the growth of salaries and use the savings to support the hiring of new staff Use savings realized from the breakage associated with retirements to support teaching assistants and other types of new staff Rely on the willingness of teachers and other professionals to increase their effort without direct or immediate compensation Rely on other donated resources e.g. the time and energy of National Honor Society members and parents Take advantage of resources that become available as special education students are included in regular classroom programs a portion of the ‘breakage’ savings that are realized from retirements to support teaching assistants and smaller class sizes; relying on the willingness of teachers to increase their effort without direct or immediate extra compensation; relying on donated resources such as tutoring help from parents and honor society students; and taking advantage of resources that become available as part of inclusion programs.

4. Discussion