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Impact of ICTs-trained school teachers on educational outcomes: evidence from Colombia. Fabio Sánchez Tatiana Velasco School of Economics Universidad de los Andes March, 27 th. 2015 Since 2004, “Computadores para Educar”, a Colombian nationwide program that equipped schools with computers giving access to technology to the students, has also trained teachers in ICT usage for instruction. By 2014, over 41,000 schools of the 46,000 existing in Colombia had received computers by the program. Meanwhile, of the 386,000 teachers in the public school system, about 74,000 have been trained in ICTs. This research aims to assess the effect that these ICTs-trained teachers have on dropout rates and performance on standardized tests. Particularly, we use a unique dataset that allow us to track students and teachers in all the public schools of the country by year and school since 2005, and we combined these data with information about the program implementation. We find that that greater proportion of ICTs trained teachers in a particular subject improve the performance of students in that subject (math, chemistry, physics, etc.) and reduce dropout. To correct for endogeneity, we use as instrumental variable the proportion of ICT-trained teachers by subject or school level in the neighboring municipalities in t-1. Our results indicate that an increase in one standard deviation in the proportion of ICT-trained teachers within a school level reduces students’ drop out by 0.20 standard deviations. Similarly, an increase in one standard deviation of proportion of ICT trained teachers in a particular subject increases students’ performance on standardized test in that subject by 0.70 standard deviations. These results are evidence that what matters for educational performance is not student access to ICT and computers but rather the training of teachers in the usage of ICT in the classroom. JEL Classification: I21, I28 Key words: ICT, teachers training, instrumental variables, drop out, standardized test

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  • Impact of ICTs-trained school teachers on educational outcomes: evidence from

    Colombia.

    Fabio Snchez

    Tatiana Velasco

    School of Economics

    Universidad de los Andes

    March, 27th.

    2015

    Since 2004, Computadores para Educar, a Colombian nationwide program that equipped

    schools with computers giving access to technology to the students, has also trained

    teachers in ICT usage for instruction. By 2014, over 41,000 schools of the 46,000 existing

    in Colombia had received computers by the program. Meanwhile, of the 386,000 teachers

    in the public school system, about 74,000 have been trained in ICTs. This research aims to

    assess the effect that these ICTs-trained teachers have on dropout rates and performance on

    standardized tests. Particularly, we use a unique dataset that allow us to track students and

    teachers in all the public schools of the country by year and school since 2005, and we

    combined these data with information about the program implementation. We find that that

    greater proportion of ICTs trained teachers in a particular subject improve the performance

    of students in that subject (math, chemistry, physics, etc.) and reduce dropout. To correct

    for endogeneity, we use as instrumental variable the proportion of ICT-trained teachers by

    subject or school level in the neighboring municipalities in t-1. Our results indicate that an

    increase in one standard deviation in the proportion of ICT-trained teachers within a school

    level reduces students drop out by 0.20 standard deviations. Similarly, an increase in one

    standard deviation of proportion of ICT trained teachers in a particular subject increases

    students performance on standardized test in that subject by 0.70 standard deviations.

    These results are evidence that what matters for educational performance is not student

    access to ICT and computers but rather the training of teachers in the usage of ICT in the

    classroom.

    JEL Classification: I21, I28

    Key words: ICT, teachers training, instrumental variables, drop out, standardized test

  • I. MOTIVATION

    Nowadays, computer-based learning programs are a popular educational

    intervention around the world (MacLeod, 2008). Nevertheless the evidence about whether

    they improve or not educational outcomes is rather mixed. This is an issue, because many

    of these programs combine two kind of interventions at the same time: they provide ICT

    equipment to students and they train teachers on how to use this equipment. As a

    consequence, when evaluating the impact of this particular group of programs, researchers

    have failed in differentiating which of the interventions conduces the effect found.

    This has been the case of Computadores para Educar (CPE). This is a Colombian

    program that has provided ICTs to public schools in all the country since 2001. Since 2004,

    the program included a formal training in ICT of 150 hours to teachers in public schools

    that received CPE equipment. By 2013, 74,000 teachers had received the ICT training,

    which represents 23% of the public schools teachers. The CPE program has been

    empirically evaluated two times. The first one by Barrera-Osorio and Linden (2009) whom

    did not find a significant effect of the program on educational outcomes, and the second

    one by Rodriguez, Snchez and Mrquez (2011) whom found a significant impact of CPE

    for reducing dropout and for improving Saber 11 performance and access to higher

    education. In any of these cases, the researchers were able to property identify the channels

    that conduced to the found result. Specifically, they did not explain which component of the

    program conducted the effect: the ICTs, the teachers training, or both.

    Literature on educational policy interventions had provided insights about the

    elements of these mixed programs that may conduced the effect. For example, MacLeod

    (2008) argues that while teachers training programs seem to have attracted less attention

  • than computer-based programs, [] the content of the training programs seems to matter

    more for changes in student performance than the structure of the program itself.

    (MacLeod, 2008:5). Kennedy (1998) reviewed several papers on teachers intervention

    programs and concluded that those programs whose content focused in teachers

    knowledge of the subject, on the curriculum, or on how students learn the subject are the

    ones with the bigger impact on educational outcomes. Thus, we hypotheses that ICT-

    training for teachers in the main channel that conduces CPEs impacts, because it aims to

    provide pedagogical and practical tools to improve classroom and teaching practices as

    teachers appropriate ICTs.

    In this paper we attempt to identify the channel that conduces to CPE impacts on

    educational outcomes. For that end, we combined instrumental variables with fixed effects

    models to identify the causal effect of the ICT-trained teachers, isolated of the CPE

    equipments effect, We find that an increase of one standard deviation in the proportion of

    ICT-trained teachers within a school conduces to a significant impact in dropout rate, grade

    retention rate and performance. Particularly, it reduces dropout rate in 0.20 standard

    deviations, grade retention rate in 0.76 standard deviations and increases Saber 11

    performance in 0.7 standard deviations. Our preliminary robustness checks indicate that the

    CPE impacts goes through teachers training and not through CPE equipment.

    This paper is organized as follows. Section II. Presents the literature review that

    frameworks our research question, section III. Provides a description of CPE program, with

    a particular focus on the ICT training of teachers, section IV describes the empirical

    strategy used for this papers, section V describes the information sources we used and how

  • we processed them, section VI present our results and section VII presents our preliminary

    conclusions.

    II. LITERATURE REVIEW

    There is an extensive literature about ICT interventions both in developing and

    developed countries with mixed results on students performance. However, teacher

    training programs had attracted less attention than ICT interventions in developing

    countries, while the evidence is mixed in developed countries (He, Leigh & MacLeod,

    2008). In a meta-analysis conducted by Kennedy (1998), it is concluded that the content of

    the training programs is more important than the structure of the program itself for changes

    in student performance (He, Leigh & MacLeod, 2008). Thus, we divide the literature

    between two big groups: those based on programs with only ICT interventions/dotation and

    those based on programs that include both ICT dotation and teacher training.

    In the group of programs with only ICT interventions/dotation, there is an extensive

    literature with mixed results on students performance. For example, Angrist & Lavy

    (2002) show, using a 2SLS estimation, that a large-scale program in Israel that provided PC

    to elementary and middle schools between 1994 and 1998 had a positive effect on computer

    use by the students but it had no effect for eight graders neither in math nor Hebrew, and

    even a negative effect for fourth graders in math. Also, Rouse & Krueger (2004) evaluate

    the short-term effect of a well-defined use of a computer program in the United States

    known as Fast ForWord. They used OLS and IV estimation and found that there was no

    statistically significant impact on the language and reading skills of the students.

  • Conversely, other programs had found positive effects of ICT

    interventions/dotation. For example, Banarjee, Cole, Duflo & Linden (2005) use a

    difference-in-difference estimation to evaluate a computer-assisted learning (CAL) program

    focused on children at the bottom of the class in Vadodara, urban India. They found that the

    program increased treatment math scores by 0.35 standard deviations the first year, and

    0.47 the second year. In the same way, Barrow, Markman & Rouse (2008) used an IV

    approximation and found positive and statistically significant effects of 0.25-0.42 standard

    deviations on students performance in pre-algebra and algebra test scores of a program

    known as I Can Learn in three urban districts in The United States. As well, Machin,

    McNally & Silva (2007) found positive effects on English and Science test scores of

    computers dotation in the United Kingdom using, as a natural experiment, a policy change

    in the UK in 2001. Finally, Fuchs & Woessman (2004,) based on observational data,

    concluded that once it is controlled for family background and school characteristics, there

    is an inverted U-shape relationship between student achievement and computer/internet use

    at school.

    In the group of papers that evaluate programs that include both ICT dotation and

    teacher training, there is less literature and it is also mixed. In this literature, programs were

    integrated with a teacher training that sought for the appropriation of the ICT on teaching

    and learning. On the one hand, Barrera-Osorio & Linden (2009) found no statistically

    significant effect in students performance of random assigned program Computadores

    para Educar (same program evaluated in this paper), which aimed to integrated computers

    into teaching of language in public schools in Colombia. Also, Sharma (2014) evaluates the

    One Laptop per Child program in Nepal that gave training to teachers about how to teach

  • using laptop-based materials. Sharma (2014) used a difference-in-difference estimation and

    found no statistically significant impact on math and a negative impact on English.

    On the other hand, Rodrguez, Snchez & Mrquez (2011) evaluate a large-scale

    version of Computadores para Educar in Colombia (same program evaluated in this

    paper) with an OLS and IV approximation. They found that the program reduces drop-out

    rates, increases standardized students test scores and increases the probability of accessing

    higher education. In the same way, He, Linden & MacLeod (2008) evaluate an Indian

    PicTalk program for teaching English to children in grades 1 to 5 that include both

    machine-based implementation and activities based on flash cards and teacher manuals and

    training. They found positive effects of PicTalk program and that lower performing

    students benefit more from interventions with activities implemented by teachers, while

    higher performing students benefit more from interventions with self-paced machines only.

    However, all this literature has failed to identify in a casual and empirical way the

    channels through by which those effects took place. Nevertheless, some of the papers

    mentioned above had some intuitive reasons about why their specific programs had no

    impact. For example, Rouse & Krueger (2004) argues that the absence of impact may be

    due to that teachers failed in learning how to use ICT to enhance instruction in an effective

    way. Barrera-Osorio & Linden (2009) say that the CPE program failed to integrate

    computers and the educational programs because the teachers did not incorporate the

    computers into the curriculum. Finally, Rodrguez, Snchez & Mrquez (2011) conclude

    that access to technology is effective only if it comes together with teacher's formation

    processes.

  • This latter idea is important for two reasons. First, the literature about teacher

    formation has found positive effects on student performance. For example, Banarjee et. Al

    (2005) evaluates a remedial education program in urban India, in which a local young

    woman (balsakhi) teaches basic skills to lagged children. They use a difference-in-

    difference evaluation and find a positive impact on test scores of 0.14 standard deviations

    the first year, and 0.28 standard deviations the second year.

    Second, the evaluation of Computadores para Educar made in this paper identify

    the channel through the program has the positive effects we observe. So, this paper is able

    to identify whether the impact observed is due to computer dotation or teachers training.

    III. COMPUTADORES PARA EDUCAR AND THE ICT-TRAINING COURSE

    The Colombian Program Computadores Para Educar (CPE) began operating in

    2000 under the leadership of the Ministry of Technologies of the Information and the

    Communications - MTIC -. The main objective of CPE is to reduce the gap in access and

    knowledge in ICTs of students of public schools in the country. For that end, CPE

    undertakes various activities. Thus, CPE gathers and readapts laptops and desktops and

    allocates the equipment to public schools1, provides ICT-training for teachers from those

    schools and disposes electronic remains in order to reduce environmental impact.

    By 2013, 82% of public schools in Colombia had received the equipment provided

    by CPE. As shown in Figure 1 by 2005 only 9% of schools in the country had obtained

    1 The schools selected must meet the following criteria: not having equipment, having equipment but out of

    date and, having some equipment but not enough to cover the number of students attending to that school.

  • CPE equipment and by 2010 that number jumped to 45%. As a consequence, the number of

    students receiving CPE equipment also increased over time. By 2005 percentage of senior

    high schools students with CPE equipment was 25% and by 2010 such percentage reached

    70%.

    Since 2004, CPE reoriented its strategy by giving a fundamental role to the ICT-

    training of teachers. Before 2004, CPE offered short instruction (about 20 hours) to

    teachers and school staff on the basic usage and functions of the provided equipment.

    Nonetheless, after 2004 the program authorities replaced such basic instruction for certified

    training course offered to teachers of CPE schools.

    The teachers ICT-training is a crucial stage of the program. It consists of a 150

    hours course (120 hours of on-site classes and 30 hours of virtual classes) that provides

    practical, theoretical and motivational skills thus teachers can efficiently incorporate ICTs

    in their teaching practices. The course can be summarized in 3 steps: first, teachers learn

    the basics of ICT-infrastructure management and usage. Once teachers finish this stage,

    they certified as Digital Citizens. Second, teachers deepen their knowledge on ICTs

    through theoretical and practical lectures. Here, they formulate and develop a classroom

    project that incorporates ICT usage. The project must be related to the classroom

    curriculum. Once the classroom project is properly formulated the course moves toward the

    third stage. Here, teachers bring their project into classroom practice, receive feedback of

    their students and proceed to evaluate the project. The course finish at the end of this stage

    and teachers receive a certification as ICT-trained teachers. Then, they can present the

    projects in regional and national meetings called Teach Digital where the best projects

    are awarded.

  • In order to properly augment the number of ICT-trained teachers, CPE developed a

    strategy at national level that encompasses four steps. First, CPE calls for universities to bid

    for carrying out the ICT courses for teachers in eight Colombian regions previously

    defined2. The selected universities are hired by CPE to offer the ICT-training course for

    two years. Every year, and before the beginning of the course the selected universities and

    CPE design the ICT-training strategy and curriculum. Then, the second step begins and a

    team of experts from the universities visit the schools and the local educational authorities

    in order to recruit teachers for the ICT-training course. Every year, each university must

    meet a minimum number of trained teachers on its assigned region. This minimum number

    has increased every year. The third stept is the execution ICT course itself described above.

    The fourth and final step is the socialization of the projects in regional and national

    meetings called Teach Digital. In these meetings, the teachers that finished the ICT-

    training courses present their project and experiences to their colleagues. The best project in

    every region receives an award and is invited to present their findings at the Teach

    Digital national meetings.

    As a consequence of the teachers ICT-training implementation, the proportion of

    trained teachers across municipalities has increased over time and expanded across the

    national territory. Figure 2 represents the proportion of ICT-trained teachers in each

    municipality in 2005, 2008, 2011 and 2013. In 2005 the proportion of them was under 20%

    for most of the municipalities growing steadily over the years. By 2013, most of the

    2 In 2014 the 8 regions grouped the following departments. Group 1: Atlntico, Bolvar, Crdoba, San Andrs

    and Sucre; group 2: Cesar, la Guajira, Magdalena and Norte de Santander; group 3: Caldas, Quindo,

    Risaralda and Valle del Cauca; group 4: Arauca, Boyac, Casanare, Santander and Vichada; group 5;

    Caquet, Guaviare, Huila and Tolima; group 6: Cauca, Nario and Putumayo; group 7: Amazonas, Cundinamarca, Distrito Capital, Guaina, Meta and Vaups; and group 8: Antioquia and Choc. Each group has one university in charge of the training except group 1 that has four universities because of the number of schools, students and teachers.

  • municipalities had at least 20% of their teachers with ICT-training and some had reached

    over 60% .

    Between 2004 and 2013 74,434 teachers received the ICT-training certification

    under the described scheme. This represents nearly 24% of the teachers in Colombian

    public schools. As the teachers self-select or the ICT-training course the ICT-trained

    teachers might be different from non-trained in their observable characteristics. Table 1

    presents by trained and non-trained the teachers characteristics for selected years. As

    observed, the teachers who enroll in the ICT-training are younger, and exhibit lower

    education level (secondary or less and normalista).

    Moreover, the proportion of ICT-trained teachers differs by education level and

    subject. Figure 3 and 4 depicts the proportion of teachers by level and subject respectively.

    Thus, figure 3 shows that a growing proportion of ICT-trained teachers teaches in primary

    rather than in secondary school. Graph 4 indicates there is a significant variation of the

    proportion of ICT-trained teachers by subject and year. Physics, math and social sciences

    have the biggest proportion while philosophy has the lowest.

    IV. DATA

    The data used in this paper comes from four different sources, organized in two

    different ways: the first one for dropout and grade retention measures and the second for

    performance measures. In the following, we proceed to explain each of our sources and

    then, we explain how we organized them in order to apply our proposed identification

    strategy.

  • Data sources

    Our main source is the administrative information of CPE program. CPE authorities

    have meticulously gathered information of the three strategies of CPE implementation: the

    gathering, readaption and allocation of laptops and desktops to public schools; the certified

    ICT course to teachers; and the management of electronic remains. For this paper we

    focused on the first two sources. From each one of them, we can track the year in which

    each school received CPE equipment and if it have been replaced or thicken within a

    certain school. We can also identify each ICT-certified teacher and the year in which that

    teacher received the certification. Both information sources are available since the

    beginning of each strategy: 2001 and 2004, respectively.

    Second, we use the information of the Annex 6a from the Resolution 166 gathered

    by the National Ministry of Education. This is administrative data available since 2005

    until 2013 that yearly gathers information of every student in the public schools system.

    Annex 6a provides information of students school and grade. It also provides socio-

    economical information such as sex, age socioeconomic strata and mothers education.

    With this information, we are able to identify whether a student dropped out or was retained

    in a grade for a certain year.

    Our third source of information allows us to characterize teachers. In this case, we

    use the Annex 3a data also from the Resolution 166 which is available since 2008 until

    2013. This source yearly gathers information of every teacher in the public schools system.

    Annex 3a allows us to identify the school in which the teacher teaches each year, the level

  • in which she teaches and the subject she teaches. It also provides information of teachers

    education level, age, sex and date of hired.

    Finally, we use information of the Colombian standardized test Saber 11. This test is

    compulsory for students finishing the last year of secondary education. The exam evaluates

    students performance in math, language, social science, biology, chemistry, physics,

    English and biology and includes an elective subject chosen by the student or the school.

    Additionally, it gathers socioeconomic information of the student such as age,

    socioeconomic strata and mothers education. This test also allows us to identify the

    student's school. Saber 11 is available since 2000 until 2012.

    Dataset for estimation of ICT teachers training impact

    For dropout and grade retention estimations we used the Resolution 166 datasets for

    students, teachers and CPE intervention. First, each dataset is reduced to one register by

    educational level (either primary or secondary), year and school. Thus, we obtained

    averages of the students and teachers characteristics, and dropout and grade retention rates.

    Then, we combined the three datasets using the school id. As a result, we obtained a panel

    by educational level, school and year. Thanks to the administrative information for CPE,

    we can identify the exact year in which CPE entered the school and the exact year in which

    each teacher was certified as ICT-trained. As result, we observed the average dropout and

    grade retention by school, educational level and year between 2005 and 2013. One

    important feature of this data is that we can identify whether a teacher has remained in the

    school where she received the ICT-training or moved to another school, with or without

    CPE equipment.

  • For the estimations for performance in Saber 11 we used the Resolution 166 dataset

    for teachers, the dataset for Saber 11 and again, the dataset of CPE intervention. In this

    case, we reduced each dataset to one register by subject area (or taught area in the case of

    the dataset for teachers), year and school. Thus, we obtained averages of the students and

    teachers characteristics, and average performance in each subject of the Saber 11 test. Then,

    we combined the three datasets using the school id. As a result, we obtained a dataset that

    allows us to track schools since 2004 until 2013.

    In both cases, we made an important adjustment to the dataset for teachers. As

    explained before, this dataset is available only since 2008. But, the ICT-training began in

    2004 and the information of CPE allows us to identify the teachers that were trained since

    that year. Thus, between 2004 and 2007, we fixed the total number of teachers in each

    school level or area with the total number of teachers in 2008. Under this assumption for

    the information between 2004 and 2007 is how we calculated the proportion of ICT-trained

    teachers.

    V. EMPIRICAL STRATEGY

    Our objective is to assess the impact of ICT-training for teachers on educational

    outcomes. Particularly, we focus on three major outcomes: Dropout rate, grade retention

    rate and subject performance on the secondary exit test Saber 11. Thus, we reduce our

    sample to the public schools that have the computers of CPE program, because we are

    interested in measure the effect of teachers ICT-trained isolated of the computers

  • endowment. Under this scenario, our initial framework is described by the following

    equation:

    In equation ,

    represents dropout rate, grade retention rate or performance

    on Saber 11 in school , in the year and in municipality . Our interest variable is

    which represents the proportion of ICT-trained teachers in school

    , in the year and in municipality . Also, we control for socio-economical characteristics

    of the students. Thus,

    represents the average age of students in school ,

    in the year and in municipality . Similarly, represent the average proportion

    of women and

    represents the average education level of students

    mothers. Furthermore, we include fixed effects at the school level ( and year fixed effect

    ( to capture difference that could emerge over time and across schools. We also include

    CPE years at the schools fixed effects ( to capture all non-observables

    that may change along the CPE intervention. Finally,

    represents the error term.

    Nevertheless, this model has endogeneity issues that restrict us of obtaining

    unbiased estimators. The main issue is that ICT-trained and non-trained teachers coexist

    within schools. Furthermore, teachers self-enrolled in the ICT-training course which means

    that ICT-training is non-random within teachers. Thus, although equation allows us to

    control for many of the unobserved factors that may vary between schools, this framework

    does not correct by within schools variation. For example, if there is an unobserved change

  • in the school curriculums that affects students performance, we would not be able to

    correct for it and we could be assigning the effect of that change to the ICT-training. As a

    consequence, we would be obtaining a non-causal and biased estimator.

    In order to control for within school variation, we follow Brutti and Snchez (2015)

    and exploit two facts observed in figures 3 and 4: first, the proportion of ICT-trained

    teachers varies between levels and within schools; and second, the proportion of ICT-

    trained teachers varies within taught subjects. For the latter, we take advantage of the fact

    that all students take a secondary exit exam that evaluates seven different subjects. As all

    schools must teach at least these subjects to secondary students and each one is taught by

    different specialized teachers, we include a within schools variation that accounts for the

    ICT-trained teachers proportion in each of the evaluated subjects and the Saber 11

    performance in each of the taught subjects. For the between educational levels case, even

    though we cannot observed the exactly same student in primary and secondary level

    simultaneously, we can use the within educational level variation to correct for

    unobservable school characteristics that may change between educational levels.

    For that end, we propose the following estimation framework suitable in a time

    panel dataset by school and educational level, and by school and taught subject.

    In the equation ,

    represents dropout rate, grade retention rate or

    performance on Saber 11. As mentioned before, one distinctive characteristic of this

  • framework is that it allows for variation within school. Depending on the outcome

    measured, we observe our variable either at the educational level or at the taught subject

    level. Thus, if represents dropout rate or grade retention rate, we say

    is either of

    these outcomes in school , in the year , in municipality and in the educational level .

    Here, we take two levels into account: primary and secondary education. On the other hand,

    if represents the performance on Saber 11, we say

    is the average performance on

    Saber 11 in school in the year in municipality and in the taught subject . In this case,

    we take into account the same subjects measured by the Saber 11 test: Mathematics,

    Physics, Chemistry, Language, English, Social Science, Biology and Philosophy. This

    framework allows us to control for unobservable characteristics that may change within

    schools.

    Our interest variable is

    . This variable represent the ICT-

    trained teachers proportion in school , in the year , in municipality and in the

    educational level or taught subject In the educational level case, we calculated the

    proportion of ICT-trained teachers either at primary or secondary level in relation to the

    total of teachers in the respective level, for the school , to year and in municipality . In

    the taught subject case, we only take into account teachers at the secondary level as they are

    the potential teachers of the senior students taking the Saber 11 test. Under this assumption,

    we calculated the proportion of ICT-trained teachers in each taught subject in relation to

    the total number of teachers in the respective subject, in school , to year and in

    municipality .

  • As in equation , we control for socio-economic characteristics of the students

    and we allow for variation by educational level. We preserved the fixed effects proposed

    for equation and we added fixed effects by level or subject ( that control for

    unobservable and constant differences across them. Finally,

    represents the error term.

    The empirical strategy presented in equation allow us to correct an important

    part of endogeneity issues. But, we need to take into account other sources of endogeneity

    such as self-regression. It is possible that, even after controlling for within school variation,

    the proportion of ICT-trained teachers is highly correlated with the previous performance

    by educational level and by taught subjects. In order to check if that is the case, we proceed

    to present a set of endogeneity exercises that confirm that self-regression is an issue in the

    equation (2). Specifically, Figure 5 and 6 present the correlation between dropout rate and

    grade retention rate by educational level before CPE program entered to the school, with

    the proportion of ICT-trained teachers by level. On one hand, there is a correlation between

    the proportion of ICT-trained teachers by educational level and the previous to CPE

    dropout rate. Particularly, the school levels with the lower dropout rates have a higher

    proportion of ICT-trained teachers. Similarly, the school levels with higher grade retention

    rate have a higher proportion of ICT-trained teachers. This issue is supported by the

    correlations between the mentioned variables presented in table 1. Except for the

    correlation between previous to CPE dropout rate in primary and proportion of trained

    teachers in that level, it is observed that all correlations are statistically significant and with

    a high magnitude t-statistic. Figure 6 confirms that the auto-regression issue also exists for

    the Saber 11 estimation. Lower performance in a subject before CPE is correlated with a

    higher proportion of ICT-trained teachers. The results in table 2 confirm the direction of the

  • correlation for all subjects except Social Science and Philosophy were the t-statistic is non-

    significant.

    In order to correct for the auto-regression and other endogeneity issues that are not

    being taken into account at this point, we look for a source of exogenous variation in the

    program design that allows us to explain the proportion of ICT-trained teachers and that is

    not correlated with our outcomes. Here, we recall the ICT-training strategy description of

    the section III. Once the universities that will offer the course in each region are selected,

    they hire a team of consultants that must look for teachers to enroll in the course. Every

    year, a number of enrolled teachers must be met and this number has increased over time.

    Additional to figure 3 and 4 that exhibit how the number of trained teachers increases every

    year, figure 2 describes how the ICT-training course has expanded geographically along

    municipalities and years since 2005. Thus, we attempted to exploit that particularity of the

    program. Specifically, we calculated the average years of experience as ICT-trained

    teachers of the teachers in the neighbor municipalities by educational level and by taught

    area till the previous year. We prefer this variable instead of the proportion of ICT-trained

    teachers for two reasons: first, it captures the geographical expansion of the training as well

    as the increased in the time of implementation; second it also captures increases in the

    proportion of ICT-trained teachers, which allow us to control for possible peer-pressure to

    enroll in the ICT course.

    The average years of experience as ICT-trained teachers of the teachers in the

    neighbor municipalities by educational level and by taught area till the previous year can be

    a good instrumental variable if it accomplishes two minimum criteria: the instrument is

    correlated with our variable of interest and it is not related with the outcome. Figures 7 and

  • 8 indicate that the first criteria is met, because the correlation between the suggested

    instruments and the endogenous variable is positive. Furthermore, the estimations presented

    in the results section display the F statistics of the first stage estimation which is highly

    significant. The second criterion is the exclusion restriction. Nevertheless, in the estimation

    framework that we suggest, it is not feasible that the proportion of ICT-trained teachers in

    the neighbor municipalities by level or subject till the previous year may explain a within

    school difference either in dropout or grade retention rate, or Saber 11 performance by

    subject.

    As a result, our identification strategy can be summarized in the equations and

    . The former, represents the first stage of our estimation. Thus,

    represents the average years of experience as ICT-

    trained teachers of the teachers in the neighbor municipalities by educational level

    and by taught area till the previous year . Equation represents the second stage

    estimation with the same controls described for equation .

  • VI. RESULTS

    Effects of ICT-training on performance on Saber 11

    First, we present the results of ICT-trained teachers on performance on Saber 11.

    Thus, we estimated the equation (2) and (3) and present the results in table 4. The

    coefficients must be interpreted as the average effect of ICT-trained teachers on each

    subject within school. Our OLS results suggest that the ICT-training has no significant

    impact on students performance. But, once we correct the endogeneity issues with the

    instrumental variable, ICT-trained teachers affect students performance on Saber 11

    positively and significantly. In order to facilitate the interpretation, we present the mean

    and standard deviation of the outcome and of the Proportion if ICT-teachers. Thus, we

    deduct that an increased in one standard deviation in the proportion of ICT-trained teacher

    in a certain taught subject within a school increases students performance in that subject by

    0.82 standard deviations.

    As observed, the IV coefficient exhibits an important increased compared to the

    OLS coefficient. This is due to the negative biased estimator which underestimates the

    effect of ICT-training. The biased can be explained by the negative correlation between the

    omitted variables and the proportion of ICT-trained teachers and the positive correlation

    between the omitted variables and the outcome variable. The figure 7 and the table 3

    illustrate the first part of this argument. Specifically, they represent the correlation between

    the proportion of ICT-trained teachers by subject, with the average performance in Saber 11

    by subject of the school previous to CPE. Even though this correlation represent only one

  • possible endogeneity problem self-regression -, it clearly illustrates the existence of sub-

    estimation problems with the OLS model.

    Dropout and grade retention

    Tables 5 and 6 present the results of dropout and grade retention estimates of the

    OLS and IV models. In this case, the estimated coefficients must be interpreted as the

    average effect of ICT-trained teachers in a certain educational level and within schools.

    Again, we use the information of the average and standard deviation of the variables in

    order to simplify the interpretation. Thus, with the OLS coefficient we estimate that an

    increase of one standard deviation in the proportion of ICT-trained teachers within a school

    level, reduces the dropout rate in 0.013 standard deviation. But, when estimated using the

    IV strategy, this effect increases to 0.20 standard deviations. This is also the case for the

    grade retention estimates presented in table 6. While with the OLS we predict that an

    increase of one standard deviation in the proportion of ICT-teachers within a school level

    reduces the grade retention rate by 0.03 standard deviations, the effect when we estimate

    the IV model is 0.71 standard deviations.

    As for the Saber 11 performance estimates, we argue that the change in the size of

    the coefficient is due to the endogeneity issues corrected with the instrumental variable. For

    example, for the grade retention estimates, we find evidence of sub estimation when using

    the OLS model. As exhibit by figure 7 and table 2, the correlation between the grade

    retention rate previous to CPE and the proportion of ICT teachers is positive. Intuitively,

    we also say there is a positive correlation between the grade retention rate previous to CPE

  • and the proportion of ICT-trained teachers. Thus, these endogeneity problems are highly

    corrected by our instrumental variable.

    CPE equipment effect versus ICT-trained teachers effect

    In this paper we also attempt to measure if the CPE effect found in the paper of

    Rodrguez & Snchez (2015) is due to the effect of ICT-teachers training. Thus, we

    replicated in our data the identification strategy they proposed in the most recent version of

    their paper and estimate the following equation.

    Equation (5) follows the same structure of the equation (1). Thus, instead of

    measuring a within school effect, we measure a between schools effect. In this case, our

    explicative variable is the number of years that CPE equipment has been on the school.

    Particularly, we apply this equation only to the school that eventually receive the CPE

    intervention but that do not have ICT-trained teachers. As a consequence, we can ensure

    that the observed effect we might find is only due to CPE equipment and not due to CPE

    teachers.

    As explained by Rodriguez and Snchez (2015), this strategy has endogeneity issues

    that need to be attempted. For that end, they proposed to use the percentage of schools in

    municipality m where school s is located that has been served by CPE k+1 years. This

    strategy explodes the variation observed in the expansion strategy of CPE, particularly of

    the intervention of equipment endowments. For our purposes we slightly modify the

  • instrument to the proportion of schools in neighbor municipalities m-1 to school s location

    that has been served by CPE k+1 years. This is the particular value that the instrument in

    equation (3)

    will take in our estimations.

    Table 7 presents the result of the equation (5). For the performance and grade

    retention estimates, we observed that CPE has no significant impact these outcomes. In the

    dropout case, we observe a slightly reduction of the dropout rate of 0.05 standard deviations

    in the OLS model and of 0.02 standard deviations in the IV model.

    VII. PRELIMINAR CONCLUSIONS

    Since 2001, Computadores para Educar has served to the students of Colombian

    public schools with ICT equipment. Even more, it has trained teacher in ICT to ensure that

    the new infrastructure is properly integrated into the classroom activities. With this model,

    CPE has proven to be effective in reducing dropout rate and school performance.

    Nevertheless, we do not have evidence of which of the described aspects explain the

    program impact: the ICT equipment, or the ICT-training for teacher, or both. In this paper

    we attempt solve this question by using fixed effect techniques and instrumental variables.

    This is an important question for the literature about educational policy intervention.

    As explained by Kennedy (1998) and MacLeon (2008), there is evidence that indicates the

    effectiveness of interventions that affect the classroom practices and teachers practices for

    improving educational outcomes. As they discuss, these type of interventions have proven

    to be more effective for improving educational outcomes than those that merely affect

    classroom resources.

  • Our hypothesis is that CPE improves educational outcomes through teachers

    training and not through ICT equipment. Our first estimations have provided us with

    evidence that our hypothesis is not rejected. Particularly, we find that increasing by one

    standard deviation the proportion of ICT-trained teachers by educational level reduces

    dropout by 0.20 standard deviations and reduces grade retention by 0.76 standard

    deviations. Even more, improving the proportion of ICT-trained teachers by taught subject,

    increases the average performance by subject in Saber 11 test by 0.7 standard deviations.

    Conversely, the estimations of the effect of ICT equipment on the students of the

    schools that do not have trained teachers, do not exhibit a consistent effect on educational

    outcomes. The estimation presented in table 7 indicate that CPE equipment has a small

    effect on dropout reduction of 0,003 standard deviations, but it does not have a significant

    impact on grade retention or Saber 11 performance.

    Our estimations require further analysis. Particularly, we attempt to explore three

    additional issues with our data. First, it is possible that our instrumental variable presents

    additional endogeneity through a spatial correlation. Thus, we need to take into account

    concepts and techniques of spatial econometrics in order to correct this issue. Second, we

    must identify possible spillover effects of the ICT-training within school and between

    subjects or educational levels. Third, we must look for non-linearities in the found effect.

  • VIII. REFERENCES

    Angrist, Joshua and Victor Lavy. 2002. New evidence on classroom computers and

    pupil learning. The Economic Journal 112 (October): 735-765.

    Banarjee, Abhijit V., Shawn Cole, Esther Duflo and Leigh Linden. 2007.

    Remedying Education: Evidence from Two Randomized Experiments in India. The

    Quearterly Journal of Economics 122, no. 3: 1235-1264.

    Barrera-Osorio, Felipe and Leigh L. Linden. 2009. The Use and Misuse of

    Computers in Education: Evidence from a Randomized Experiment in Colombia. Working

    Paper no. 4836, World Bank Policy Research Working Papers.

    Barrow, Lisa, Lisa Markam and Cecilia E. Rouse. 2008. Technologys Edge: The

    Educational Benefits of Computer-aided Instruction. Working Paper no. 14240, National

    Bureau of Economic Research, Cambridge, MA.

    Fuchs, Thomas and Ludger Woessmann. 2004. Computer and student learning:

    Bivariate and multivariate evidence on the availability and use of computers at home and at

    school. Working Paper no. 1321, CESifo.

    He, Fang, Leigh L. Linden and Margaret MacLeod. 2008. How to Teach English in

    India: Testing the Relative Productivity of Instruction Methods within the Pratham English

    Language Education Program. Working Paper.

    Kennedy, Mary. 1998. Form and Substance in Inservice Teacher Education.

    Research Monograph no. 13. National Institute for Science Education.

  • Machin, Stephen, Sandra McNally and Olmo Silva. 2007. New technology in

    schools: Is there a payoff? The Economic Journal 117 (July): 1145-1167.

    Rodrguez, Snchez & Mrquez (2011) Impacto del Programa Computadores para

    Educar en la desercin estudiantil, el logro escolar y el ingreso a la educacin superior.

    Documento CEDE No. 15

    Rouse, Cecilia E. and Alan B. Krueger. 2004. Putting computerized instruction to

    the test: a randomized evaluation of a scientifically based reading program. Economics of

    Education Review 23: 323-338.

    Sharma, Uttam. 2014. Can Computers Increase Human Capital in Developing

    Countries? An Evaluation of Nepals One Laptop per Child Program. Agricultural and

    Applied Economics Associations 2014 Annual Meeting, Minneapolis, MN, July 27-29,

    2014.

  • Figure 1. Accumulated Number of Schools with CPE equipment by year

    Source: Resolution 166. Ministry of Education

    Figure 2. Percentage of ICT-trained teachers by municipality

    Source: Resolution 166. Ministry of Education

    4,168 5,567 8,242

    11,329 15,287

    20,859

    25,262 28,696

    37,396

    0,00%

    10,00%

    20,00%

    30,00%

    40,00%

    50,00%

    60,00%

    70,00%

    80,00%

    90,00%

    2005 2006 2007 2008 2009 2010 2011 2012 2013

  • Figure 3. Proportion of ICT-trained teachers by level

    Source: Resolution 166. Ministry of Education

    Figure 4. Proportion of ICT-trained teachers proportion by subject

    Source: Resolution 166. Ministry of Education

    0

    0,05

    0,1

    0,15

    0,2

    0,25

    0,3

    2005 2006 2007 2008 2009 2010 2011 2012 2013

    ICT-

    trai

    ne

    d t

    eac

    he

    rs

    Year

    Primary Secondary

    0

    0,02

    0,04

    0,06

    0,08

    0,1

    0,12

    0,14

    2004 2005 2006 2007 2008 2009 2010 2011 2012

    Biology Social Science Language English

    Math Chemistry Physics Philosophy

  • Table 1. Teachers characteristics

    2005 2008 2011 2013

    Training Training Training Training

    No Yes

    t-

    statistic No Yes

    t-

    statistic No Yes

    t-

    statistic No Yes

    t-

    statistic

    Primary Age 43.43 41.29 *** 44.65 43.11 *** 45.35 45.01 *** 46.12 45.79 ***

    Woman 0.77 0.75 *** 0.76 0.75 *** 0.75 0.73 *** 0.76 0.75 ***

    Teacher's educative level

    Secondary or less 0.19 0.18 *** 0.18 0.17 *** 0.26 0.31 *** 0.07 0.07 **

    Normalista 0.09 0.11 *** 0.11 0.13 *** 0.09 0.14 *** 0.13 0.12 ***

    Bachelor 0.56 0.56

    0.57 0.56 ** 0.54 0.47 *** 0.56 0.52 ***

    Graduate education 0.16 0.15 ** 0.14 0.14

    0.11 0.11

    0.24 0.29 ***

    Teacher's experience

    Years 15.22 13.33 *** 15.47 14.44 *** 15.42 15.62 ** 15.45 16.49 ***

    Years since ICT-training

    0.11

    0.90

    2.65

    4.46

    Change of school

    Change of school between

    2009-2013

    0.23 0.23 ** 0.36 0.38 ***

    Change of school after ICT-

    training between 2009-2013

    0.15

    0.29

    N 90,853 30,705 108,193 35,088 93,656 32,678 105,558 38,466

    Secondary Age 44.51 41.00 *** 45.34 42.55 *** 45.50 44.48 *** 45.91 45.87

    Woman 0.55 0.58 *** 0.54 0.57 *** 0.52 0.54 *** 0.53 0.56 ***

    Teacher's educative level

    Secondary or less 0.13 0.15 *** 0.13 0.14 ** 0.13 0.18 *** 0.02 0.03 ***

    Normalista 0.03 0.04 *** 0.03 0.05 *** 0.02 0.04 *** 0.01 0.02 ***

    Bachelor 0.61 0.62

    0.65 0.65

    0.69 0.64 *** 0.67 0.64 ***

    Graduate education 0.23 0.19 *** 0.19 0.16 *** 0.16 0.14 *** 0.30 0.31 ***

    Teacher's experience

    Years 14.87 11.46 *** 14.60 12.14 *** 13.94 13.26 *** 15.06 14.44 ***

    Years since ICT-training 0.00 0.12

    0.88

    2.78

    4.65

    Change of school

    Change of school between

    2009-2013

    0.21 0.22

    0.35 0.37 ***

    Change of school after ICT-

    training between 2009-2013

    0.15

    0.30

    N 90,252 13,073 112,133 15,870 106,250 14,549 122,390 17,096

  • Figure 5. Endogeneity test for Dropout rate and grade retention rate by educational

    level

    Figure 6. Endogeneity test for Saber 11 score by subject

    0.2

    .4.6

    Pro

    p.

    of

    ICT

    tra

    ined

    te

    ach

    er

    by le

    ve

    l

    0 .1 .2 .3 .4Dropout rate by level

    Endogeneity graph Dropout

    0.2

    .4.6

    .8

    Pro

    p.

    of

    ICT

    tra

    ined

    te

    ach

    er

    by le

    ve

    l

    0 .1 .2 .3retention rate by level

    Endogeneity graph retention

    .2.4

    .6.8

    Pro

    p.

    of

    ICT

    tra

    ined

    te

    ach

    er

    by d

    iscip

    lin

    e

    38 40 42 44 46 48Saber 11 score by discipline before CPE

    Endogeneity graph Saber 11

  • Figure 7. Correlation between instrumental and instrumented variable by

    educational level

    Figure 8. Correlation between instrumental and instrumented variable by taught

    subject

    0.1

    .2.3

    .4

    Pro

    p.

    of

    ICT

    tra

    ined

    te

    ach

    er

    by a

    rea

    0 .5 1 1.5 2Theacher's experience in neighbour municipalities t-1

    Instrumental variables Dropout

    0

    .05

    .1.1

    5.2

    Pro

    p.

    of

    ICT

    tra

    ined

    te

    ach

    er

    by d

    iscip

    lin

    e

    0 .2 .4 .6 .8Theacher's experience in neighbour municipalities t-1

    Instrumental variables Saber 11

  • Table 2. Endogeneity test. Correlation between the proportion of trained teachers

    and previous dropout rate and grade retention rate by educational level

    (1) (2) (3)

    All levels Primary Secondary

    Dropout rate before intervention* -0.484*** 0.023 -0.327***

    (-25.430) (0.783) (-10.561)

    Observations 31,113 20,248 10,865

    R-squared 0.026 0.012 0.032

    Grade retention rate before intervention~ 0.549*** 0.240*** -0.448***

    (18.788) (6.682) (-6.790)

    Observations 23,712 15,346 8,366

    R-squared 0.024 0.017 0.025

    Years Fixed Effects Yes Yes Yes

    Robust t-statistics in parentheses

    *** p

  • 35

    Table 3. Endogeneity test. Correlation between the proportion of trained teachers and previous Saber 11 performance by subject

    (1) (2) (3) (4) (5) (6) (7) (8) (9)

    All subjects Biology

    Social

    Science Language English Math Chemistry Physics Philosophy

    Saber 11 score before CPE

    intervention* -0.019*** -0.017*** -0.002 -0.020*** -0.043*** -0.030*** -0.018*** -0.041*** -0.007

    (-19.828) (-5.382) (-1.028) (-6.980) (-11.256) (-12.691) (-4.502) (-10.747) (-0.912)

    Observations 22,513 2,929 4,450 3,232 2,189 3,660 1,675 3,866 512

    R-squared 0.058 0.064 0.021 0.059 0.160 0.109 0.085 0.094 0.049

    Year Fixed Effects Yes Yes Yes Yes Yes Yes Yes Yes Yes

    Robust t-statistics in parentheses

    *** p

  • 36

    Table 4. Estimation of the effect of ICT-trained teachers on Saber 11 performance by

    subject

    (1) (2) (3)

    OLS IV First Stage

    Proportion of ICT trained teachers by subject -0.011 11.433***

    (0.026) (0.650)

    Average years of experience of teachers ICT-trained in

    neighbouring municipalities at t-1 by subject 0.161***

    (0.007)

    Saber 11 score before CPE intervention*

    Kleibergen-Paap rk Wald F- statistic

    528.487

    Average score in Saber 11 test by subject 43,06

    Standar deviation [2.68]

    Average proportion of ICT trained teachers by subject 0.05

    Standar deviation [0.18]

    Observations 237,718 237,718 237,718

    R-squared 0.359 -0.364 0.059

    Number of schools 4,888 4,888 4,888

    Students' characteristics Yes Yes Yes

    Year fixed effect Yes Yes Yes

    Years of CPE in the school fixed effect Yes Yes Yes

    School fixed effect Yes Yes Yes

    Discipline fixed effect Yes Yes Yes

    Robust standard errors in parentheses

    *** p

  • 37

    Table 5. Estimation of the effect of ICT-trained teachers on dropout rate performance by

    level

    (1) (2) (3)

    OLS IV First Stage

    Proportion of ICT trained teachers by level -0.006*** -0.091***

    (0.002) (0.022)

    Average years of experience of teachers ICT-trained in

    neighbouring municipalities at t-1 by discipline

    0.188***

    (0.012)

    Average dropout rate 0.13

    Standard deviation 0.09

    Average proportion of ICT trained teachers by level 0.10

    Standar deviation 0.20

    Kleibergen-Paap rk Wald F- statistic

    262.89

    Observations 125,436 125,400 125,400

    R-squared 0.316 0.294 0.271

    Number of Schools 11,034 10,998 10,998

    Year Fixed Effect Yes Yes Yes

    Years of CPE in the School Fixed Effect Yes Yes Yes

    School Fixed Effect Yes Yes Yes

    Educative level Fixed Effect Yes Yes Yes

    Robust standard errors in parentheses

    *** p

  • 38

    Table 6. Estimation of the effect of ICT-trained teachers on grade retention rate

    performance by level

    (1) (2) (3)

    OLS IV First Stage

    Proportion of ICT trained teachers by level -0.022*** -0.519***

    (0.002) (0.032)

    Average years of experience of teachers ICT-trained in

    neighbouring municipalities at t-1 by level

    0.242***

    (0.014)

    Average grade retention rate 0.10

    Standard deviation 0.11

    Average proportion of ICT trained teachers by level 0.13

    Standar deviation 0.15

    Kleibergen-Paap rk Wald F- statistic

    313.06

    Observations 127.436 127.356 127.436

    R-squared 0.099 -1,287 0.256

    Number of Schools 11.263 11.183 11.263

    Year Fixed Effect Yes Yes Yes

    Years of CPE in the School Fixed Effect Yes Yes Yes

    School Fixed Effect Yes Yes Yes

    Educative level Fixed Effect Yes Yes Yes

    Robust standard errors in parentheses

    *** p

  • 39

    Table 7. Estimation of the effect of Computers for Teaching on Educational outcomes. Only Schools with computers and without ICT-trained teachers

    Saber 11 Dropout rate Grade retention rate

    (1) (2) (3) (4) (5) (6)

    OLS IV OLS IV OLS IV

    Years of CPE intervention 0.025 0.035 -0.002*** -0.001** -0.000 0.001

    (0.021) (0.021) (0.001) (0.001) (0.001) (0.001)

    First Stage

    Years of CPE intervention at the neighbour

    mun

    -0.323

    0.028***

    -0.275

    0.002

    0.001

    (0.001)***

    Kleibergen-Paap rk Wald F- statistic

    1.50E+04

    7.50E+04

    7.50E+04

    Average score in Saber 11 test by subject 43.25 0.13 0.10

    Standar deviation 2.56 0.09 0.08

    Average year of CPE intervention 1.28 1.25 1.53

    Standar deviation 2.24 2.31 2.61

    Observations 15,669 15,669 43,910 43,910 35.394 35.394

    R-squared 0.003 0.002 0.174 0.174 0.046 0.046

    Number of Schools 3,018 3,018 8,647 8,647 7.778 7.778

    Year fixed effect Yes Yes Yes Yes Yes Yes

    School Fixed effect Yes Yes Yes Yes Yes Yes

    Robust standard errors in parentheses

    *** p