Mathematics Teaching Practices Research Articles

“Mathematics is a battle, but I’ve learned to survive”: becoming a disabled student in university mathematics

AbstractIn university mathematics education, students do not simply learn mathematics but are shaped and shape themselves into someone new—mathematicians. In this study, we focus on the becoming of disabled mathematical subjects. We explore the importance of abilities in the processes of being and becoming in university mathematics. Our interest lies in how teaching and assessment practices provide students with ways to understand themselves as both able and disabled, as disabilities are only understood with respect to the norm. We analyse narratives of nine university students diagnosed with learning disabilities or mental health issues to investigate how their subjectivity is constituted in discourse. Our analysis shows how the students are shaped and shape themselves as disabled mathematicians in relation to speed in mathematical activities, disaffection in mathematics, individualism in performing mathematics, and measurability of performance. These findings cast light on the ableist underpinnings of the teaching and assessment practices in university mathematics education. We contend that mathematical ableism forms a watershed for belonging in mathematics learning practices, constituting rather narrow, “normal” ways of being “mathematically able”. We also discuss how our participants challenge and widen the idea of an “able” mathematics student. We pave the way for more inclusive futures of mathematics education by suggesting that rather than understanding the “dis” in disability negatively, the university mathematics education communities may use dis by disrupting order. Perhaps, we ask, if university mathematics fails to enable accessible learning experiences for students who care about mathematics, these practices should indeed be disrupted.

초등 교사의 수학교육 연구와 실천의 원천으로서 ‘학생의 생각’

초등 교사의 수학교육 연구와 실천의 원천으로서 ‘학생의 생각’

Adult education in mathematics and numeracy: a scoping review of recent research

The paper responds to the need for understanding trends and gaps in extant research related to adult education in mathematics and numeracy, given changing skill demands and skill gaps regarding adults, and related policy, theorizing, and practice trends. This paper presents the results of a scoping review of recent empirical research related to adult education in mathematics and numeracy, published in 22 selected journals from 2019 to 2022, including 15 journals in adult education and seven in mathematics education. The results show that only 39 relevant empirical studies were found among over 2300 research papers reviewed, and that few of those focus on practice-related of adult education in mathematics and numeracy. The results provide quantitative evidence suggesting that the field of adult numeracy education is under-researched, and help to identify gaps in empirical research involving adult numeracy, including on emerging topics such as on modeling and critical interpretation. The results also point to research opportunities that can strengthen theorizing and practice in both mathematics education and adult numeracy education.

An exploration of Scottish teachers’ perceptions of equitable teaching practices in mathematics

An exploration of Scottish teachers’ perceptions of equitable teaching practices in mathematics

The Role of Belief Sources in Promoting Goal Orientation Beliefs, Self-Efficacy, and Beliefs About the Role of Teachers in Mathematics Learning

Goal orientation beliefs, self-efficacy, and beliefs about the role of the teacher in mathematics learning have been known as important factors in promoting students’ success in mathematics. Beliefs can be shaped through four principles: mastery experience, vicarious experience, social persuasion, and physiological state. This study examined the structural relationship between belief sources, goal orientation beliefs, self-efficacy, and beliefs about the role of mathematics teachers. Seventeen classes were selected randomly within 35 classes from fifth and sixth grade, four private schools in Surabaya, Indonesia. Five hundred-five students participated in the present study. Partial Least Square structural equation modeling was performed to analyze the data. The result showed that mastery experience and vicarious experience positively predicted students’ goal orientation beliefs, self-efficacy, and beliefs about the role of the teachers. Social persuasion significantly influenced self-efficacy and beliefs about the role of mathematics teachers but not goal orientation beliefs. Among the belief sources, social persuasion is the strongest predictor for self-efficacy. Vicarious experience is the most powerful predicator for goal orientation beliefs and beliefs about the role of mathematics teachers. Meanwhile, the physiological state only negatively predicted goal orientation beliefs. The contribution of the findings of our study for mathematical teaching practices in Surabaya-Indonesia was discussed.

Objects in a likely class: tracing the relationships between humans and non-humans in mathematics education practices

Resumo: Discorremos sobre as potencialidades da Teoria Ator-Rede como aporte teórico-metodológico à fundamentação de pesquisas em Educação Matemática. Argumentamos, baseados em contribuições conceituais de Bruno Latour, que investigações dedicadas a rastrear associações entre humanos e não humanos podem se beneficiar do seu emprego, uma vez que, segundo essa abordagem sociológica, podemos tomar os objetos como atores dinâmicos nas práticas de educação matemática. Concentramo-nos aqui em quatro conceitos básicos: redes sociotécnicas, caraterização da atuação dos atores (mediadores e intermediários) e agência (agency), ilustrando sua mobilização por meio da análise de uma aula fictícia de Matemática. Buscamos, assim, contribuir com a divulgação dessa perspectiva teórica na comunidade científica de educadores matemáticos.

REMOTE: First insights into assessing and evaluating remote learning practices in STEM

The rapid transition to remote learning practices in Science, Technology, Engineering, and Mathematics (STEM) education necessitates a comprehensive assessment and evaluation of their effectiveness. This article presents the first findings of the UE funded project REMOTE “Assessing and evaluating remote learning practices in STEM” (ref: 2022-1-ES01-KA220-HED-000085829) project: a literature review focused on assessing and evaluating remote learning practices in STEM. Drawing on a wide range of scholarly articles, reports, and studies, this article review examines various dimensions of remote learning, including instructional design, student engagement, assessment methods, and instructor-student interaction associated with remote STEM learning in Higher Education Institutions (HEIs). The set of academic contributions detected can be classified into four major typologies according to the area in which they are focused: students, teaching methodologies, teaching staff and technologies. In consequence, the review carried out, summarized in a categorization of the research developed so far, allows a broad and critical view of the state of the art. The findings of this article contribute to the broader conversation surrounding remote learning and serve as a valuable resource for stakeholders involved in STEM education.

Discrete Mathematics Teaching Reform and Practice for Engineering Certification in Computer Science

Engineering education professional certification is the certification of engineering majors in higher education institutions in accordance with the standards and processes of the Washington Agreement. It is an effective means to improve the quality of engineering education, promote continuous improvement of the profession, and enhance the international competitiveness of professional talents. Discrete mathematics is the core backbone course of computer science and technology and related majors. Under the guidance of the certification concept of engineering education, the curriculum outline of discrete mathematics, the core basic course of computer science and technology, has been revised to focus on cultivating students’ graduation abilities, refine teaching objectives, closely adhere to graduation requirements, support graduation indicators, and continuously reform teaching methods, teaching modes, and assessment forms. Teaching practice has shown that students’ mastery of computer mathematics theoretical knowledge is more solid, their ability to solve complex engineering problems is improved, and good teaching results are achieved.

Kamii’s Mathematics Education Theories and Practice Implications

Kamii’s Mathematics Education Theories and Practice Implications

Research on BOPPPS Model of Advanced Mathematics Teaching Practice Under Ideological and Political Integration

Research on BOPPPS Model of Advanced Mathematics Teaching Practice Under Ideological and Political Integration

The Teaching Demonstration in the Transitioned Times: Pedagogical Practices in New Normal Classrooms

College Graduating Students Batch 2022 of the Philippine Education is tagged as the experimental batch since they were the first recipients of the full K-12 implementation and a COVID-19-caught transition of education from the full face-to-face classroom to flexible learning. In the City College of Calamba, March 2020 shifted their instruction to full modular distance learning and it took the college two semesters to implement an online learning system, hence the first batch of students with this transition did their practice teaching internship in a new normal class where three-fourths of their learning came from the transitioned education set-up. Now, the study’s focus was to assess their performance as evaluated by the cooperating teacher, cooperating school head, and practice teaching supervisor despite the minimal guidance during the learning of academic and pedagogical principles years. The hypothesis is tested if significant differences can be found in the areas of teaching pedagogies when grouped according to specialization. The study used a simple random sampling technique, 432 evaluations were noted from the observers accumulated for each specialization including secondary education including English education, mathematics education, and science education practice teachers’ assessment constituting a total of 108 respondents. Due to the test of normality and homogeneity failure, the Kruskal-Wallis test was used. Based on the findings, areas in lesson planning, teaching method, classroom management, communication skills, and teacher’s personality had significant differences among all specializations except content mastery. Although there were weak indicators per area, it implied that teaching pedagogical practices were different depending on the specialization orientation of the practice teacher, but they have equal content mastery levels. Therefore, despite the transition of the educational system of these students and now practice teachers, it was comprehensively understood that they are well-equipped in terms of pedagogical practices. Keywords: Lesson Planning, Content Mastery, Teaching Method, Classroom Management, Communication Skill, Teacher’s Personality, Pedagogical Practices, Transitioned Practice Teachers, Teaching Demonstration, New Normal.

Briefly Recalling Moments in Mathematics Education History:

Arithmetic was the first mathematical subject to enter the school curriculum in the United States in a formalized manner. Until the first quarter of the nineteenth century, the prevailing pedegogy of this subject revolved around the tenets of mental discipline theory and the rules method of teaching, which valued memorization and repetivive drill of procedures. This continued until pedegogical alternatives to this approach were offered by innovative textbook writers, most notably William Colburn and his 1825 text First Lessons in Arithmetic on the Plan of Pestalozzi. In this article, the teaching of arithemtic in the early United States and the influence of Colburn's text is discussed and is later contextualized through their influence on modern mathematics education practice.

Enhancing Mathematics Teaching Practice Supervision in an Open Distance E-Learning Context: Challenges and Successes with 4IR

Enhancing Mathematics Teaching Practice Supervision in an Open Distance E-Learning Context: Challenges and Successes with 4IR

Facilitating effective mathematical teaching practices in preschool

Initial seeds for mathematics literacy are planted during early childhood. Children benefit when they are exposed to and provided with opportunities for math experiences that emphasize their holistic development and not just mathematics proficiency in isolation. This way of viewing and presenting mathematics to young children requires teachers who are equipped with strong mathematics teaching skills. This study examined a 21-hour professional development series for public school preschool teachers on early numeracy, geometry, mathematical reasoning, and teaching pedagogies. This professional development series aimed to help preschool teachers incorporate effective mathematical practices and increase their comfort level in teaching mathematics. Participants noted this professional development series impacted their ability to foster children’s early numeracy development, engage in math talkpose questions that helped children process early numeracy, and contextualize early numeracy through stories and/or word problems. The study demonstrates change takes time, and the impact of this professional development series is dependent on preschool teachers’ readiness and their perception of their teaching context needs.

수학교육의 교수학적 실천과 연구 측면에서 AI 언어 모델 활용 방안 탐색

Due to the recent development of technology, the possibility of using AI language models in various fields is drawing attention. This study attempted to explore ways to utilize the AI language model in terms of pedagogical practice and research in mathematics education. To this end, the matching rate between the meaning of the Korean dictionary and the mathematical term presented by the AI language model was compared and analyzed using ChatGPT. ChatGPT is one of the AI language models that can process natural language and organize answers according to input text. As a result of the analysis, it was possible to explore the various possibilities of using AI language models for teaching and learning design, evaluation, and research from the basis of answers and analysis of Korean dictionaries and AI language models. However, considering the volatility of the AI language model, it is required to find a way to secure the validity and reliability of the research.

Advance Practices In Mathematical Education System

Practices in mathematics education are essential to foster effective learning. They provide structured approaches for teaching, help build foundational skills, enhance problem solving abilities, and promote a deeper understanding of mathematical concepts. Consistent practices also contribute to standardized assessments and ensure a more cohesive educational experience for students. Practices in mathematics education are crucial for several reasons. They offer a systematic framework for teaching and learning, ensuring that students receive consistent and structured instruction. These practices help educators adapt to diverse learning styles and provide a basis for assessing student progress. Additionally, established practices contribute to the development of critical thinking, problem solving skills, and a deeper understanding of mathematical concepts. Overall, they play a key role in creating a more effective and standardized learning experience In this paper we will discuss some new advance practices in Mathematics education. Here we will see the actual advance practice then the objective, procedure and finally benefits of it.

Facing and challenging language ideologies towards a more inclusive understanding of language in mathematics education research—the case of sign languages

Research on language in mathematics education is largely dominated by a ‘normalcy’ of spoken languages. This modal hegemony does not only affect a whole group of learners in failing to provide access that is epistemologically equitable—those using sign language as their preferred mode for mathematical discourse—it also obscures our view on the roles language can play in mathematical thinking and learning. As a field, we can only win from seeking to understand Deaf learners of mathematics beyond a disability, as learners of mathematics with a specific linguistic background that influences mathematical thinking and learning in peculiar ways. In this contribution, I suggest a shift in mindset towards a more inclusive view on language in mathematics education research and practice. I propose basic principles to inform a perspective for reconsidering the role of language in mathematics thinking and learning, inspired by work of philosopher Francois Jullien. This perspective counters a perspective that merely integrates sign language into existing research and instead searches for dialogue between linguistic modalities in learning mathematics, looking beyond language as spoken or written. This approach will be illustrated by the case of the modal affordance of iconicity foregrounded in signed mathematical discourse, its role in Deaf students’ mathematics thinking and learning, and how this can inform existing research and practice dealing with language in mathematics education.

Mathematics Teachers’ Beliefs About Which Practices They Implement: A Q-Sort Analysis

ABSTRACT The Mathematics Teaching Practices identified by the National Council of Teachers of Mathematics are eight research-based practices that promote mathematics teachers’ implementation of specific knowledge to support student understanding. We wondered which practices mathematics teachers perceived as most characteristic and least characteristic of their teaching and if groups of mathematics teachers might have similar beliefs about their use of the MTPs in their teaching. Data from 39 mathematics teachers of grades 5–12 and one administrator who completed the Teacher Action Q-Sort revealed three distinctive groups: predominantly high school teachers and teachers with post-baccalaureate degrees, predominantly early career middle school teachers, and predominantly beginning middle school teachers. We describe each group, provide a visualization for each group’s composite Q-sort, and report the similarities and differences across the groups of teachers. We also include implications and recommendations for teachers of mathematics and those who provide professional development to teachers of mathematics.

P4C Practices in Mathematics Education: The Case of Math Stories

Bu araştırma, ortaokul öğrencilerinin "Çocuklar için Felsefe (P4C)" etkinlikleri sırasında oluşturdukları soruları incelemeyi amaçlamaktadır. Araştırma nitel araştırma desenlerinden durum çalışmasıdır. Araştırmanın katılımcıları bir devlet okulunda öğrenim göre ortaokul 7. sınıf öğrencileridir. Araştırma kapsamında, beş adet matematik hikayesi videosu öğrencilere uyaran olarak izletilmiş daha sonrasında öğrencilerden izledikleri bu videolara yönelik sorular oluşturmalarını ve akabinde tartışmaları istenmiştir. Araştırma kapsamında 97 adet geçerli soru üretilmiştir. Öğrencilerin oluşturdukları bu sorular, araştırmacılar tarafından geliştirilen dört farklı kategori içeren bir gösterge analiz edilmiştir. Bu kategoriler; "Temel Bilgi ve Hatırlama”, “Neden-Sonuç Analizi” Eleştirel Düşünme ve Değerlendirme” ve “Empati Kurma ve Düşüncelerini İfade Etme” dir. Kategoriler araştırma süresince soruları analiz ettikçe ortaya çıkmıştır. Bulgulara göre, ilk kategorideki sorular öğrencilerin temel bilgileri anlama ve hatırlama yeteneklerine yönelik; kim, ne, nerede, ne zaman ve nasıl gibi sorulardır. İkinci kategorideki sorular daha çok neden-sonuç ilişkilerini anlama becerileri ile ilgili olup, öğrencilerin daha derinlikli ve analitik düşünmelerini gerektirmiştir. Araştırmanın üçüncü kategorisinde, öğrencilerin eleştirel bir bakış açısı ile konuları sorguladığı ve olabilecek farklı senaryoları ele aldığı tespit edilmiştir. Son olarak, dördüncü kategoride öğrencilerin kendi düşüncelerini ifade etme ve farklı bakış açılarını anlama ve kabul etme yetenekleri ile ilgili sorular ürettikleri tespit edilmiştir. Öğrenciler etkinliklere başladığında daha çok bilgi ve hatırlama kategorisinde sorular üretirken etkinlikler ilerledikçe empati kurma, eleştirel düşünme gibi farklı düşünce becerilerini kullanarak bu yönde sorular ürettikleri ve bu becerilerinin zamanla geliştiği gözlemlenmiştir. Sonuç olarak, araştırma ortaokul öğrencilerinin P4C etkinlikleri sırasında soru üretme becerilerini ve düşünce süreçlerini anlamak için önemli bir perspektif sunmaktadır.

Toward culturally sustaining supervision practices in mathematics education: what do Pasifika research students value most about their supervisors?

Disrupting forms of exclusion in higher education requires culturally sustaining practices. However, in some areas of higher education, the notion of culturally sustaining practice remains unexplored. The present study addresses this disparity by exploring the concept of culturally sustaining supervision in the specific case of Pasifika research students in mathematics education. In particular, this case study examines what a group of 22 Pasifika research students in mathematics education valued most about their respective supervisors. Using talanoa (respectful and free-flowing conversation and discussion) to gather data, three characteristics of supervisors that the participants valued most were identified via thematic analysis: (a) being available and accessible; (b) developing the student’s confidence; and (c) providing support beyond the thesis. The characteristics are discussed with respect to the Pacific concept of vā (relationships), which refers to the intricate relational and spatial realm in which connections among people exist and evolve.