Session Information
10 SES 04 C, Visions of Pre-Service Teachers in Secondary Schools
Paper Session
Contribution
Mathematics is a key discipline in the integral formation of citizens, since the mathematical competence of individuals is increasingly necessary to meet the demands of the society of the s. XXI. This importance is not only reflected in our daily experience and in the curricula of compulsory education, but is also a reason for international evaluations by prestigious organizations such as the Organization for Economic Cooperation and Development (OECD) or the International Association for the Evaluation of Educational Performance (IEA), that provide the PISA and the TIMSS test, respectively, to measure the mathematical performance of students from different nations. Within such context, the social impact of the performance of mathematics teachers in compulsory education is increasing and their training, therefore, should be a priority object of constant observation and analysis.
Teaching beliefs play an essential role within the analysis of mathematics teachers' performance. Research has pointed out the relationship between teachers' beliefs and their teaching practice in science and mathematics (Cady, Meier & Lubinski, 2006; Lui and Bonner, 2016; Pruski et al., 2013; Uysal & Dede, 2016; a review can be seen in Mapolelo & Akinsola, 2015). This poster is concerned with preservice elementary teachers' beliefs about their own capability to teach mathematics. The starting question of the research is the following: Do preservice teachers think they are capable of teach mathematics?
Self-efficacy beliefs to teach Mathematics
This question can be addressed from the theory of social learning (Bandura, 1977, 1986). Under this approach, individuals beliefs their own abilities (efficacy beliefs) have observable effects on their behavior, thus beliefs somehow determine individuals' success and failure. Bandura (1977) emphasised that these efficacy beliefs can be understood from two components: self-efficacy and outcome expectancy. The degree of belief of individuals about their own ability to perform a task is described through self-efficacy. The outcome expectancy refers the belief about the results one anticipates from having performed this task.
Self-efficacy and outcome expectancy describe individuals' own beliefs that determine both their actions and their approaches in complex situations within work contexts, such as learning and decision-making. Enochs and Riggs (1990) proposed a scale, based on these two dimensions, to observe the degree of influence of beliefs of efficacy on teachers in initial science education. Subsequently, Enochs, Smith and Huinker (2000) adapted and validated such scale for the teaching of Mathematics. Those studies gave rise to the Mathematics Teaching Efficacy Beliefs Instrument (MTEBI), which has been used to analyse efficacy beliefs in later papers (see, for instance, Albayrak & Unal, 2011). Some of them have exposed the relationship among self-efficacy and other different factors related to the mathematics teacher professional performance. Regarding the mathematics teaching anxiety, Peker (2016) found that content knowledge, teaching knowledge, and self-confidence dimensions of anxiety had a negative effect on self-efficacy beliefs toward mathematical teaching. Regarding content knowledge and pedagogical content knowledge, Montejo-Gámez & Marín-Jiménez (2020) discovered that preservice teachers who passed university courses focused on mathematical content knowledge showed higher levels of self-efficacy to teach mathematics than those who passed the courses focused on mathematics teaching. These authors also found that there are sociocultural factors such as vocation, cultural background and teaching experience, that allow establishing different self-efficacy profiles among preservice teachers.
Purpose
Despite the wide literature that analyses self-efficacy, the outcome expectancy is not well understood yet. That is the starting point of this research: to explore preservice elementary teachers' outcome expectancy about mathematics teaching. More specifically, the research aims for describing it, finding out sociocultural factors that determine it and identifying students' profiles that contribute to explain whether preservice teachers see themselves as capable of teaching mathematics.
Method
Participants The sample is composed of 65 students (55.38% women) in different years of their elementary teacher’s degree studies at the University of Granada (Campus of Ceuta). The group presents heterogeneity in terms of age, religious worship, vocation (14.5% of students say they study this grade without a teaching vocation), dedication (46.9% of participants declare that the degree is their only occupation) and approved subjects from the area of mathematics education. In addition, 43.1% of the students in the group have teaching experience. At this point, it should be emphasised that this universitary degree includes three subjects related to mathematics: one of them which is focused on mathematical content knowledge and other two subjects which emphasise aspects of mathematics teaching. Instrument and variables A survey with two different parts was prepared for the data gathering. In the first one, social and academic data were collected to draw a profile of the students within the analyzed context: age, sex, religion, course in which they are enrolled, main dedication (degree or other studies), vocation and subjects of the area of approved grade math (there are three subjects in this grade). The second part of the survey contains the items of the MTEBI instrument (Enochs et al., 2000) that was translated to Spanish through a translation procedure, reverse translation into English and comparison of the items obtained. In this instrument, items 1, 4, 7, 9, 10, 12, 13 and 14 measure the outcome expectancy, which offered a Cronbach's alpha of 0.588 (0.605 if typified elements are used). In this way, the questionnaire prepared contains 16 variables: 8 of a social and academic nature and 9 related to outcome expectancy (the 8 items of the MTEBI scale and the sum of all of them, OE), which were treated as quantitative variables. Participants completed the questionnaire independently for 30 minutes, which provided 65 written records. Analytic procedure To describe the outcome expectancy, it was acted in two stages. Variable OE, together with the values in the particular items, allowed the descriptive analysis of the expected findings. In addition, U Mann-Whitney or Kruskal-Wallis contrasts (depending on how many were compared) were used to analyse the dependence of the factors' outcome expectancy: sex, course, religion, vocation, dedication, practice and approved subjects. Afterwards, the expected findings profiles were searched through a hierarchical cluster analysis that allowed defining groups of students according to their outcome expectancy.
Expected Outcomes
Regarding the description of preservice elementary teachers' outcome expectancy, the median value of all items is 4 except for item 1 (When a student does better than usual in mathematics, it is often because the teacher exerted a little extra effort) that is 3. Item 9 (The inadequacy of a student’s mathematics background can be overcome by good teaching) shows the highest average value. Concerning the sociocultural factors that determine outcome expectancy, no significant differences were found respect to gender, religion, dedication and teaching experience. Nevertheless, item 1 does show differences , where students in their 3rd year provide the highest scores whereas those in their 4th year provided the lowest scores. Besides, students who claim to have teaching vocation obtained the highest score in item 9. Finally, students who passed the courses on mathematics teaching showed less outcome expectancy than students who had not passed those courses yet. The analysis of the students profiles lead to three clusters: -The first one is made up of 46 students, they are students with high medium OE score (29.48, sd=1.56). Most of them were in their second year and declared high vocation, the majority had passed the course focused on mathematical content knowledge. -Cluster 2 is made up of 10 students, they are students with a high OE score (35.70, sd=1.34). Their sociocultural profile is similar to the cluster 1 except for their teaching experience, which is higher in this cluster than in the cluster 1. -Cluster 3 is made up of 9 students, they have the lowest OE score (24.22, sd=1.39). Students in this group are mainly men and they are equally distributed between their second, third and fourth year. They declare to have less vocation than individuals of the other clusters and the third part of them have teaching experience.
References
Albayrak, M., & Unal, Z. (2011). The Effect of Methods of Teaching Mathematics Course on Mathematics Teaching Efficacy Beliefs of Elementary Pre-service Mathematics Teachers. International Journal of Humanities and Social Science, 1(16), 183–190. Bandura, A. (1977). Social learning theory. Englewood Cliffs, New Jersey: Prentice Hall. Bandura, A. (1986). Social foundations of thought and action: A social cognitive theory. Englewood Cliffs, New Jersey: Prentice Hall. Cady, J., Meier, S. L., & Lubinski, C. A. (2006). The Mathematical Tale of Two Teachers: A Longitudinal Study Relating Mathematics Instructional Practices to Level of Intellectual Development, 18(1), 3–26. Enochs, L. G. & Riggs, I. M. (1990). Further Development of an Elementary Science Teaching Efficacy Belief Instrument: A Preservice Elementary Scale. In Annual Meeting of the National Association for Research in Science Teaching. Enochs, L.G., Smith, P. L. & Huinker, D. (2000). Establishing factorial validity of the mathematics teaching efficacy beliefs instrument. School Science and Mathematics, 100 (4), 194-202 Lui, A. M. & Bonner, S. M. (2016). Preservice and inservice teachers' knowledge, beliefs, and instructional planning in primary school mathematics. Teaching and Teacher Education, 56, 1-13. Mapolelo, D. C. & Akinsola, M. K. (2015). Preparation of Mathematics Teachers : Lessons from Review of Literature on Teachers ’ Knowledge , Beliefs , and Teacher Education. American Journal of Educational Research, 3(4), 505–513. Montejo-Gámez, J. & Marín-Jiménez, A.E. (2020). Autoeficacia para la enseñanza de las matemáticas de los maestros en formación inicial en el Campus de Ceuta [Preservice elementary teachers' self-efficacy for teaching mathematics in Ceuta Campus]. In M. C Pérez-Fuentes (Ed.), Innovación Docente e Investigación en Educación y Ciencias Sociales (pp. 1179-1189). Madrid: Dykinson. S.L. Peker, M. (2016). Mathematics teaching anxiety and self-efficacy beliefs toward mathematics teaching: A path analysis. Educational Research and Reviews, 11(3), 97–104. Pruski, L. A., Blanco, S. L., Riggs, R. A., Grimes, K. K., Fordtran, C. W., Barbola, G. M., … Lichtenstein, M. J. (2013). Construct Validation of the Self-Efficacy Teaching and Knowledge Instrument for Science Teachers-Revised (SETAKIST-R): Lessons Learned. Journal of Science Teacher Education, 24(7), 1133–1156. Uysal, F. & Dede, Y. (2016). Mathematics Anxiety and Beliefs of Turkish Pre-service Elementary Teachers. EURASIA Journal of Mathematics, Science & Technology Education, 12(8), 2171–2186.
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