scholarly journals Inferential Reasoning of Secondary School Mathematics Teachers on the Chi-Square Statistic

Mathematics ◽  
2021 ◽  
Vol 9 (19) ◽  
pp. 2416
Author(s):  
Jesús Guadalupe Lugo-Armenta ◽  
Luis Roberto Pino-Fan

Statistics education has investigated how to promote formal inferential reasoning from informal inferential reasoning. Nevertheless, there is still a need for proposals that explore and progressively develop inferential reasoning of students and teachers. Concerning this, the objective of this article is to characterize the inferential reasoning that secondary school mathematics teachers show in the practices that they develop to solve problems regarding the Chi-square statistic. To achieve this, we use theoretical and methodological notions introduced by the onto-semiotic approach of mathematics knowledge and instruction. In particular, we have taken a theoretical proposal of levels of inferential reasoning for the Chi-square statistic. Based on the results, the main conclusion was that the proposal above effectively predicted the teachers’ practices, allowing us to distinguish characteristic elements of the levels of inferential reasoning.

2020 ◽  
Vol 5 (36) ◽  
pp. 56-69
Author(s):  
Norkumalasari Othman ◽  
Nor Hasnida Che Md Ghazali ◽  
Mohd Nazir Md Zabit

This study aims to review the instruments of mathematics teaching practice among secondary school mathematics teachers. A total of 100 mathematics teachers were involved as respondents in this study. The data were analyzed descriptively by access to Alpha Cronbach's reliability and EFA analysis using SPSS software. The results of the analysis show that the Alpha Cronbach value is 0.934 which is more than 0.60. Results from the exploration factor analysis show four factors with Eigenvalues greater than 1.0. The KMO value (Kaiser-Meyer-Olkin) 0.867 > 0.6 indicates the items in the variable of attitude towards math are sufficient for inter-correlation. While the Bartlett Test was significant (Chi-Square 1521.621, p <0.05), an anti-image value (Measure of Sampling Adequacy, MSA) for items correlation exceeded 0.6. However, there are three items that need to be removed because the values obtained are less than 0.60, which were the items G11, G14, and G18. The value of the total variance explained by these three factors was 62.76 percent. Therefore, the overall findings indicate that the items for mathematics teaching practice instruments can measure and answer the study objectives.


2017 ◽  
Vol 6 (1) ◽  
pp. 9
Author(s):  
Suphi Önder Bütüner

This study aimed to explore secondary school mathematics teachers’ use of history of mathematics in their classes and their knowledge levels in this field. The population of the study comprised 58 secondary school mathematics teachers working at Yozgat city center, and the sample included 32 mathematics teachers from 10 schools who volunteered to take place in the study. These mathematics teachers were administrated an 11-item short-answer history of mathematics knowledge level test along with a 5-item written opinion form to identify their history of mathematics use. The findings showed that most teachers did not use history of mathematics in their classes, yet those who used history of mathematics did so by mentioning the life stories of mathematicians and the contributions of ancient civilizations to mathematics to motivate students at the beginning of their classes. The mean score of teachers who participate in this study at the history of mathematics knowledge test was computed 3.5 indicating that their knowledge levels concerning the history of mathematics were low. Additionally, it was found that those who did not use history of mathematics in their classes scored lower in the history of mathematics knowledge test than those who used it in their classes.


2019 ◽  
Vol 121 (2) ◽  
pp. 1-36
Author(s):  
William Zahner ◽  
Suzanne Chapin ◽  
Rich Levine ◽  
Lingjun A. He ◽  
Robert Afonso

Background School leaders are challenged by the relatively limited supply and high turnover of qualified secondary school mathematics teachers. In response, policy makers and teacher educators have developed various pathways and incentives to recruit, train, place, and support highly qualified mathematics teachers to work in hard-to-staff schools. Focus of Study In this study, we investigate the recruitment, placement, and early career trajectories of 158 Grades 6–12 mathematics teachers from two preparation programs focused on staffing “high-need” schools in the same region. Setting The contrasting programs were both supported by the same university in the Northeast United States. Participants & Programs The participants were 158 secondary school (Grades 6–12) mathematics teachers. Of these, 48 were recruited and prepared through a teacher education program with financial support from the National Science Foundation-funded Robert Noyce Teacher Scholarship Program. The other 110 school mathematics teachers were recruited and trained through the Greater Boston office of Teach For America. Both programs required two years of service in high-need schools. Research Design In this study, we used a comparative design. Descriptive profiles of teachers from each program were created. Then, participants’ early career trajectories were compared using logistic regression and survival analysis. Data Collection and Analysis We administered a longitudinal survey and created a database combining survey data and each program's administrative data. Conclusions Our data illustrate that the Noyce scholarship-supported pathway was generally successful in recruiting individuals with STEM majors, training them to be mathematics teachers, and placing those individuals as secondary school mathematics teachers in high-need schools. The comparison of the scholarship-pathway teachers with the secondary school mathematics teachers in the alternative-certification pathway provides a useful contrast. On the one hand, the alternatively certified secondary school mathematics teachers were less likely than the scholarship-pathway teachers to have STEM majors, and the attrition rate for the alternatively prepared teachers was higher than the attrition rate for the scholarship-supported teachers, particularly after they had completed the two-year service requirement. On the other hand, the alternative-certification program recruited a more diverse pool of potential teachers and placed these teachers in schools serving a higher proportion of low-SES students.


2011 ◽  
Vol 15 ◽  
pp. 2569-2573 ◽  
Author(s):  
Merve Durkaya ◽  
Zeki Aksu ◽  
M. Fatih Öçal ◽  
E. Özge Şenel ◽  
A.Cihan Konyalıoğlu ◽  
...  

1977 ◽  
Vol 8 (2) ◽  
pp. 107-114
Author(s):  
Lowell F. Ensey ◽  
Thomas J. Cooney

Preservice secondary school mathematics teachers, 20 pre-student teachers, and 16 post-student teachers, were introduced to a model for teaching mathematical concepts via two treatments. The subjects prepared and taught the concepts of parallelogram and rhombus, respectively, in two audiotaped microteaching sessions, one before and one after the treatments. The number and variety of moves used and the strategies employed by the subjects in their microlessons were obtained from analyzing the audio recordings. A 2× 2× 2 design was used to detect differences among means or interactions of the two groups, the treatments, and the two microteaching sessions, where the microteaching session was a repeated factor. No significant interactions were found. The microteaching session factor was significant (p<.05), indicating an increase in both the number and variety of moves.


2011 ◽  
Vol 104 (6) ◽  
pp. 460-464
Author(s):  
Daniel Chazan ◽  
Dara Sandow

Secondary school mathematics teachers are often exhorted to incorporate reasoning into all mathematics courses. However, many feel that a focus on reasoning is easier to develop in geometry than in other courses. This article explores ways in which reasoning might naturally arise when solving equations in algebra courses.


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