scholarly journals Undergraduates’ conceptions of mathematics teaching and learning: an empirical study

Author(s):  
Luis J. Rodríguez-Muñiz ◽  
Álvaro Aguilar-González ◽  
Ariel Lindorff ◽  
Laura Muñiz-Rodríguez

AbstractPrevious research in mathematics education has explored teachers’ conceptions of mathematics and its teaching and learning, and how their instructional tendencies (e.g., “traditional”, “technological”, “spontaneous” and “investigative”) relate to these conceptions. However, empirical evidence on this topic from large samples of pre-service teachers is limited. This study adapts and validates an instrument originally designed for in-service teachers to analyse the conceptions of mathematics and mathematics teaching and learning. This was done in a sample of undergraduate students in several different degree programmes (primary education, mathematics, and the education itinerary in psychology) in a Spanish university. Existing theory about instructional tendencies and conceptions of mathematics teaching and learning that was developed in the context of in-service teachers is then re-examined in the context of empirical evidence from this sample of individuals (all potential future teachers) without teaching experience. Results show that items from the instrument can be separated into four factors focussed on investigative stances, the role of textbooks, the role of teachers and lesson planning. Individual participants are not characterised by single tendencies; rather, they can be described in terms of several combinations of tendencies, grouped into four clusters. In line with the previous literature on in-service teachers, results suggest that conceptions of mathematics and its teaching and learning are not best captured by rigid, sharply delineated profiles. Rather, individuals configure their own conceptions in terms of combinations of different characteristics of prototypical tendencies.

2020 ◽  
Vol 4 (3) ◽  
pp. 242
Author(s):  
Oce Datu Appulembang ◽  
Kurnia Putri-Sepdikasari Dirgantoro ◽  
Jacob Stevy Seleky

<p><em>Guidance and assistance in learning are necessary for every child, whether it is for the students who have attended school or not. Most of the parents who live in the Bonang area can not fulfill this activity. Parents who have not be able to accompany their children in learning after school are caused several factors, namely cognitive inability of parents, the busyness of parents in work, and the inability of parents economically to send their children to learning center, and some are even do not trust some learning center. Mathematics education students are prepared in the field of school mathematics teaching and learning expertise. For them, this activity is a valuable opportunity to gain teaching experience, as well as learning to implement the theories that have been learned, both in terms of pedagogy and mathematics. The purpose of this community is as a place to synchronize students’ need to implement their learning practices with the needs of schoolchildren</em> <em>around Bonang. The activity is in the form of assistance at one of the residents’ houses in Bonang. The benefits of this assistance activity are felt by all parties, schoolchildren</em> <em>as learning participants receive learning guidance in terms of cognitive and character, parents who are assisted and feel happy to see children's development in education, and the tutors can directly learn to implement knowledge and practice teaching.</em></p><p><strong>ABSTRACT (INDONESIAN):</strong> Bimbingan dan pendampingan belajar diperlukan oleh setiap anak, baik yang bersekolah maupun yang tidak bersekolah. Kegiatan tersebut belum dapat dipenuhi oleh sebagian besar orang tua yang berdomisili di daerah Bonang. Orang tua yang belum dapat mendampingi anak-anaknya dalam belajar sepulang sekolah disebabkan oleh beberapa faktor yaitu ketidakmampuan orang tua secara kognitif, kesibukan orang tua dalam bekerja dan ketidakmampuan orang tua secara ekonomi untuk mengikutsertakan anaknya di dalam bimbingan belajar yang bersifat komersial, bahkan ada yang kurang percaya pada bimbingan belajar tertentu. Mahasiswa pendidikan matematika dipersiapkan pada bidang keahlian belajar mengajar matematika sekolah. Bagi mahasiswa, kegiatan tersebut merupakan kesempatan yang berharga untuk mendapatkan pengalaman mengajar, sekaligus belajar untuk mengimplementasikan teori yang sudah dipelajari, baik dari segi pedagogy maupun keilmuan matematika. Tujuan dari kegiatan ini adalah sebagai wadah untuk mensinkronisasikan kebutuhan mahasiswa untuk mengimplementasikan praktik pembelajaran mereka dengan kebutuhan anak sekolah di sekitar Bonang. Adapun kegiatan bimbingan belajar tersebut diselenggarakan di rumah salah satu warga di Bonang. Manfaat kegiatan bimbingan belajar ini dirasakan oleh semua pihak, anak-anak sekolah sebagai peserta belajar mendapatkan bimbingan belajar dari segi koginitif dan karakter, orangtua yang terbantukan dan merasa bahagia melihat perkembangan anak dalam pendidikan dan mahasiswa pendidikan matematika yang menjadi tutor dapat secara langsung belajar mengimplementasikan ilmu dan praktek mengajarnya.</p>


2021 ◽  
Vol 18 (No.2) ◽  
pp. 129-160
Author(s):  
Ruzlan Md-Ali ◽  
Arsaythamby Veloo ◽  
S. Kanageswari Suppiah Shanmugam ◽  
Yus'aiman Jusoh @ Yusoff ◽  
Rosna Awang Hashim

Purpose - The Malaysian government has allocated a large budget for Orang Asli primary school education via the Department of Orang Asli Development (JAKOA) to help improve Orang Asli pupils’ academic performance including mathematics. Teachers face challenges in ensuring that Orang Asli pupils become competent learners of mathematics. Hence, this study examined the teachers’ perspectives on the issues and challenges in the teaching and learning of mathematics at Orang Asli primary schools in Malaysia. Methodology - In this qualitative study, Two Orang Asli primary schools were randomly selected from eight primary schools within an Orang Asli Settlement in the District of Sungai Siput. The data were collected via focus group discussions and interviews, which were carried out during enculturation visits and were fully transcribed and thematically analysed. The research participants were purposively selected and comprised the schools’ administrators and mathematics teachers. Findings - The results of the data analysis showed that there were two main themes, namely classroom challenges and school challenges, in determining mathematics competence among Orang Asli pupils. Classroom challenges consisted of five sub-themes namely coverage of mathematics syllabus, mathematics teaching and learning resources, pupil engagement, language barrier, and mathematics learning culture. School challenges consisted of two sub-themes namely school attendance and discipline. To enhance mathematics competence among Orang Asli pupils, it is deemed important to conduct programmes and community engagement. Significance - This study contributes to the knowledge of the teaching and learning of mathematics at Orang Asli primary schools. It is recommended that teachers allow Orang Asli pupils to take home their mathematics textbooks so that they can complete their homework at home. Teachers are highly encouraged to conduct mathematics teaching and learning activities in groups to develop meaningful and engaging lessons.


Author(s):  
Kelli Thomas ◽  
Douglas Huffman ◽  
Mari Caballero

The purpose of this chapter was to investigate pre-service teachers' noticing of children's critical thinking and views towards eliciting and using students' critical thinking in mathematics teaching. A mixed method study was used to provide a range of perspectives on pre-service teachers' views towards mathematics. The results indicated that the pre-service teachers initially held beliefs that mathematics teaching and learning consist of transferring information and students absorbing and memorizing information. The pre-service teachers based their instructional responses on experiences they had as students in elementary mathematics classrooms. The pre-service teachers described what they had observed about teaching mathematics as the ideal without regard for how the teaching behaviors they observed might influence children's critical thinking about mathematics. After completing a mathematics methods course, the pre-service teachers held beliefs more consistent with a reform-oriented classroom and demonstrated growth in their ability to notice children's mathematics thinking.


Libri ◽  
2014 ◽  
Vol 64 (2) ◽  
Author(s):  
Mega M. Subramaniam ◽  
Ann Ryu Edwards

AbstractWith the unveiling in the United States of the Common Core State Standards for Mathematics that value inquiry, cross-curricular connections, and the use of technology in instruction, school librarians may be best positioned to collaborate with mathematics teachers to instill these practices into mathematics teaching and learning. However, the mathematics curriculum is often perceived as challenging or even impossible for librarians to connect with. Consequently, such collaboration is often not pursued by either party. This paper examines the factors that shape or hinder collaboration between school librarians and mathematics teachers. Semi-structured interviews were conducted with mathematics teachers, school librarians, and school leaders in four middle schools in a highly resourced school district in the mid Atlantic region of the United States. We find several factors that influence the nature and opportunities for collaboration, including: perception; comfort with technology; institutional structures; testing pressure; and knowledge about mathematics teaching and learning. Our analysis reveals pivotal transformations that need to take place in order to strengthen the collaborative relationship between these two domains: (1) changes in the perceptions mathematics teachers and school librarians have of each other, and of various aspects of technology integration in mathematics teaching and learning and collaborative relationships; (2) enhanced structural support at the school district level; and (3) enhanced structural support at the school level to support collaboration. By examining the connections and contexts of these emerging themes from our study, we reveal the impact that school librarians can have in mathematics learning in middle schools.


2018 ◽  
Vol 1 (1) ◽  
Author(s):  
Louise M Saija ◽  
Ronny B Sihotang

English language is an International language. This makes the use of English in teaching-learning process in countries, where English is generally not a local medium of communication, become important. Mathematics is also very important for every student, but several previous research showed that students had difficulty in learning this subject. The purpose of this experimental study is to see the effectiveness of the use of English in teaching-learning process of economic mathematics towards economic undergraduate students. The result shows us that students who learn mathematics with English-medium system have better achievement than students who learn mathematics with local language. Another finding was students learn mathematics more enthusiastic when the teaching-learning process is made with the language they chose.Keyword: English language, economic mathematics, teaching learning.


2018 ◽  
Vol 49 (4) ◽  
pp. 373-389 ◽  
Author(s):  
Sylvia Celedón-Pattichis ◽  
Lunney Lisa Borden ◽  
Stephen J. Pape ◽  
Douglas H. Clements ◽  
Susan A. Peters ◽  
...  

In July 2017, the National Council of Teachers of Mathematics (NCTM) released a new mission statement that shifts the organization's primary focus to supporting and advocating for the highest quality mathematics teaching and learning for all students. A key strategy for achieving this goal is to advance “a culture of equity where each and every person has access to high quality teaching and is empowered as a learner and doer of mathematics” (NCTM, 2017, “Strategic Framework,” para. 2). Increasing equity and ensuring the highest quality mathematics teaching and learning for all students requires systemic change (National Council of Supervisors of Mathematics [NCSM] & TODOS: Mathematics for ALL, 2016). As educators are called to enact NCTM's new mission, we acknowledge that such change is complex. We also acknowledge that our own experiences conducting equity work that is grounded in an asset-based approach are at different stages of development, ranging from beginning levels to lived experiences as diverse mathematics learners and mathematics education researchers. We see this change in mission as a call to both act politically (Aguirre et al., 2017) and to change story lines (i.e., “broad, culturally shared narrative[s]”; Herbel-Eisenmann et al., 2016, p. 104) that dominate the public perception of mathematics learning and teaching. We acknowledge that systemic barriers are part of a larger educational issue, but for the purposes of this commentary, we focus on mathematics.


2021 ◽  
Vol 11 (1) ◽  
pp. 40
Author(s):  
Kimura Patar Tamba ◽  
Wiputra Cendana

<div><p>This study aims to examine the relationship between epistemological beliefs, teaching-learning beliefs and assessment beliefs in mathematics education. This research is a quantitative study with a correlational study. Data collection using the survey method with a cross-sectional design. The participants were 71 pre-service elementary school  , mathematics teachers. The data on beliefs were collected through means of a questionnaire. The data collected from the questionnaire were then analyzed quantitatively through descriptive and inferential statistics. Descriptive statistics utilizes the mean value, maximum value, and standard deviation values. Inferential statistics use the product-moment correlation as well as path analysis. The research results show that there is a positive and significant correlation between static and dynamic beliefs on epistemology of mathematics, and the constructivist beliefs on mathematics teaching and learning, with the productive beliefs on mathematics assessment. In addition, there is seen to be a functional influence between both epistimological beliefs (both static and dynamic), as well as beliefs on teaching and learning (constructivist) and beliefs about mathematic assessment (productive). The results of this research signify the importance of considering one’s beliefs about the epistemology of mathematics and mathematics teaching and learning when constructing their beliefs regarding mathematics assessment.</p></div>


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