scholarly journals Kinds of Mathematical Reasoning Addressed in Empirical Research in Mathematics Education: A Systematic Review

2020 ◽  
Vol 10 (10) ◽  
pp. 289
Author(s):  
Alexandra Hjelte ◽  
Maike Schindler ◽  
Per Nilsson

Mathematical reasoning is gaining increasing significance in mathematics education. It has become part of school curricula and the numbers of empirical studies are growing. Researchers investigate mathematical reasoning, yet, what is being under investigation is diverse—which goes along with a diversity of understandings of the term reasoning. The aim of this article is to provide an overview on kinds of mathematical reasoning that are addressed in mathematics education research. We conducted a systematic review focusing on the question: What kinds of reasoning are addressed in empirical research in mathematics education? We pursued this question by searching for articles in the database Web of Science with the term reason* in the title. Based on this search, we used a systematic approach to inductively find kinds of reasoning addressed in empirical research in mathematics education. We found three domain-general kinds of reasoning (e.g., creative reasoning) as well as six domain-specific kinds of reasoning (e.g., algebraic reasoning). The article gives an overview on these different kinds of reasoning both in a domain-general and domain-specific perspective, which may be of value for both research and practice (e.g., school teaching).

Author(s):  
Bernardete Angelina Gatti

ResumoNeste artigo são apresentadas algumas das concepções que se observam, explicitamente ou subjacentemente, no relato de pesquisas na área da educação matemática, as quais orientam seu desenvolvimento, fins e resultados. As concepções destacadas se entrelaçam com várias formas e caminhos possíveis para levantar dados e analisar o que é obtido em investigações no que se refere às situações de ensino e de aprendizagem escolar, ou, a processos formativos de diferentes naturezas e níveis. Não há hierarquização entre elas, não são necessariamente mutuamente excludentes, e, cada uma traz contribuições a serem consideradas nos limites de suas perspectivas.Palavras-chave:  Educação matemática, Metodologias de pesquisa, Concepções de pesquisa, Formação do pesquisador. AbstractIn this article, is exposed an analytic view of conceptions that we can observe in reports of research in the field of mathematical education. They guide the purpose, proceedings and results of the investigation and they interweave the ways and research means of obtaining data. This analysis is done by observing reports of empirical research on school learning or about process of teachers’ education. There are no hierarchy between then and they are not mutually exclusive. Each one brings their contribution that can be considered in their perspectives and limits.Keywords: Mathematic education, Research methodologies, Research conceptions, Researchers’ education. ResumenEn este artículo se analizan concepciones observables, directamente o no, en relatos de investigaciones científicas en el campo de la educación matemática. Esas concepciones orientan los procedimientos investigativos, los análisis de los resultados y sus fines. Ellas están entrelazadas con los caminos de búsqueda de datos y conclusiones. Las investigaciones tratadas dicen respecto a situaciones de la enseñanza y del aprendizaje en la escuela o a procesos de formación de varios tipos, mayormente, la formación de docentes. No hay jerarquía entre ellas, no son mutuamente excluyentes, y cada una aporta su contribución específica.Palabras-clave: Educación matemática; metodologías de la investigación; concepciones de investigación; formación de investigadores. 


1994 ◽  
Vol 25 (6) ◽  
pp. 734-754
Author(s):  
Edward A. Silver ◽  
Jeremy Kilpatrick

Our task in preparing this article on the occasion of the 25th anniversary of the Journal for Research in Marhematics Education (JRME) was to look ahead to the future of research in the field and to identify and discuss issues that might be important for the next decade or two in the life of the journal. Rather than merely offering our own opinions and speculations. we decided to interview a number of other researchers, some from the United States and some from other countries, to sample their views regarding the current state of research in mathematics education, the issues that may affect the future of the field, and the role of the JRME in the current and future scene. In particular, we asked these researchers to identify examples of work they considered significant and to comment on its imponant characteristics. We probed their definitions of the field by asking them to identify the types of work (e.g., empirical studies, historical or theoretical analyses) they judged could legitimately be called research in mathematics education. We explored their visions of the future of research over the next few decades. And we questioned them about the role and place of the JRME in the research community and about its impact on the field. In addition, we participated in a conference on Research in Mathematics Education and Its Results in May 1994 that was part of a study conducted by the International Commission on Mathematical Instruction (ICMI). The discussion document framing the study (Sierpinska et al., 1993) and many of the presentations and conversations at the ICMI Research Conference should be acknowledged as sources of ideas for the article. Naturally, we have included our own opinions, analyses, and perspectives.


2021 ◽  
Vol 13 (10) ◽  
pp. 5674
Author(s):  
Prodhan Mahbub Ibna Seraj ◽  
Blanka Klimova ◽  
Hadina Habil

The use of mobile devices for English language teaching (ELT) is increasing rapidly all over the world. This review study surveys the empirical research on using mobile phones in ELT published in Scopus and Web of Science indexing journals from 2010 to 2020 in Bangladesh. Out of 103 studies, 11 studies met the criteria of this study to analyze the effects of mobile phones on ELT. The findings show that the major research trends of these studies aim at teachers’ professional development using mobile phones for teaching language. The findings also reveal that the use of mobile phones is effective in ELT through facilitating feasible, ubiquitous, and effective learning environments with some limitations, i.e., an issue with charging, a small screen, affection, and a lack of teacher confidence. Of the studies conducted, 83% have employed a qualitative research design for investigating learners’ readiness and concepts on the use of this device. In addition, there is a lack of empirical studies with the intention to observe and justify the effect of mobile phones on developing learners’ language skills. There is also a lack of evidence describing which mobile applications are effective for developing relevant language skills. Overall, the results of this systematic review might be applicable in the context of similarly developing countries, as well as triggering empirical research in the field of technology-enhanced ELT in these countries.


2021 ◽  
Vol 0 (0) ◽  
Author(s):  
Chuanhui Wu ◽  
Shijing Huang ◽  
Qinjian Yuan

Abstract The fragmentation of fundamental theory has increasingly affected the development of information management (IM) and information system (IS) empirical research, while limited attempts have been made to systematically review the theories which are fundamental to the extant IM and IS literature. Therefore, based on the analysis of the empirical studies in the IM and IS field in the past 20 years, we identify seven relatively important but less summarized theories in the IM and IS field: transactive memory system (TMS), impression management, flow, structural holes, resource dependence theory (RDT), social presence theory (SPT), and the illusion of control (IC). Hence, we try to offer a systematic review of these theories by synthesizing the extant findings while identifying the possible directions for future studies. Our review made several significant contributions to both proposing theoretical and methodological trends in the respective theories.


2021 ◽  
Vol 12 ◽  
Author(s):  
Barbara Csala ◽  
Constanze Maria Springinsfeld ◽  
Ferenc Köteles

ObjectiveBoth yoga practice and spirituality are associated with beneficial mental health outcomes. Within yoga research, however, spirituality is still a widely neglected area. The present systematic review aims to explore empirical studies, which do, in fact, investigate the relationship between yoga and spirituality in order to provide an overview and future directions for research on this topic. The review examines whether available empirical research supports an association between yoga practice and spirituality and, if so, which specific aspects of spirituality are associated with yoga practice.MethodsThe systematic review followed the PRISMA guideline (Prospero registration number: CRD42020155043). Empirical studies written in English, German, or Hungarian language were selected from a database search in Google Scholar, PsycINFO, and Science Direct. A total of 30 studies met the final inclusion criteria.ResultsAccording to the quantitative and qualitative studies reviewed, yoga practice seems to be positively associated with spirituality. This association concerns various aspects of spirituality, such as spiritual aspirations, a search for insight/wisdom, an integrative worldview, a sense of meaning and peace, faith, hope, compassion, and happiness within. To harness the potential spiritual benefits of yoga, regular practice appears to be essential. Yoga practitioners seem to have both physical and spiritual motives for practicing. At least in Western societies, however, physical intentions are more prevalent than spiritual ones. The meaning of spirituality for yoga practitioners is also discussed. Due to risk of bias of the majority of the reviewed studies, however, outcomes must be taken with caution.ConclusionYoga practice may be positively associated with several aspects of spirituality. For more evidence, further investigation of the topic is suggested. Particularly, we propose the inclusion of holistic forms of yoga practice and a comparison of Eastern and Western approaches to yoga.


2018 ◽  
Vol 7 (2) ◽  
pp. 83 ◽  
Author(s):  
Heris Hendriana ◽  
Rully Charitas Indra Prahmana ◽  
Wahyu Hidayat

This study aims to examine mathematics teacher-candidate students’ mathematical creative reasoning ability based on the level of Adversity Quotient (AQ). This study uses a mixed method of sequential type by combining quantitative and qualitative methods in order. Population in this study is all students attending the course of Calculus in Mathematics Education of Master Program at STKIP Siliwangi that consist of 270 students divided into six classes. The results are AQ gives effect to the achievement of students’ mathematical creative reasoning abilities based on the whole and the type of AQ climber, champer, and quitter. The achievement of students’ mathematical creative reasoning abilities and based on AQ, the champer and climber fall into the medium category, while on the quitter type, it falls into the category of low. On the other hands, the achievement of students’ mathematical creative reasoning abilities is yet to be achieved well at the indicator of novelty.


2019 ◽  
Vol 11 (2) ◽  
pp. 431 ◽  
Author(s):  
Francisco Palací ◽  
Alejandro Salcedo ◽  
Gabriela Topa

The study of consumers’ satisfaction has generated empirical research in the last few decades, with new challenges, such as a specific lens on online consumers’ satisfaction. During the last decades, two well-differentiated research traditions can be observed: cognitive and affective. A wide range of antecedents of consumers’ satisfaction has been proposed. The present contribution empirical research conducted under these two perspectives to determine which variables are related to satisfaction, the direction of these relationships, and the differences between the two dominant approaches. We conducted a systematic review of 104 empirical studies on consumers’ satisfaction published between 1975 and 2017. The findings showed that both the cognitive and the affective tradition yield statistically significant precursors of satisfaction. A comparison between empirical studies exploring consumers’ satisfaction in traditional versus by Internet purchasing behavior showed an increasing relevance of cognitive facets in traditional consumer behavior. Empirical evidence exploring differences between consumers’ satisfaction with purchasing goods versus hiring services showed that both cognitive and affective predictors strongly impact when services are hired versus consuming goods. This article concludes with a discussion of these results and their implications.


Author(s):  
Dubravka Glasnović Gracin

AbstractA mathematics textbook can be described as an officially authorized and pedagogically designed mathematics book written to provide mathematical knowledge to students. This description suggests the authority of the textbook - because it has been authorized by an administrative source and because it deals with authorized knowledge. This paper provides an overview of research on mathematics textbooks. The emphasis is on questions concerning the extent to which and how textbooks are used in mathematics education in Croatia and in the world.Research results show that mathematics textbooks are widely used in mathematics education worldwide. This finding points to the need for research on the content and structure of textbooks. Such studies are combined with the associated results on how textbooks are used in the classroom and which methods teachers apply in using textbooks in mathematics education. The results of the empirical studies show that teachers use textbooks for lesson preparation and pupils use mathematics textbooks for exercises to a great extent. These results imply that such an important role of textbooks in mathematics education deserves additional attention, with the goal of understanding and improving mathematics education.Key words: mathematics education; overview; research on textbook---SažetakMatematički udžbenik može se opisati kao službeno autorizirana i pedagoki osmiljena matematička knjiga napisana s ciljem da učenicima ponudi matematičke sadržaje. Taj opis sugerira autoritet udžbenika jer ga je autorizirao administrativni izvor i jer sadrži autorizirano znanje. Ovaj članak daje pregled istraživanja matematičkih udžbenika, a naglasak je na pitanjima u kojoj mjeri i kako se udžbenici koriste u nastavi matematike u Hrvatskoj i u svijetu.Rezultati raznih istraživanja pokazuju da se udžbenici u velikoj mjeri koriste u nastavi matematike irom svijeta. Taj nalaz ukazuje na potrebu za istraživanjem sadržaja i strukture matematičkih udžbenika. Uz to, prikazani su rezultati istraživanja o tome na koji se način udžbenici koriste u razredu i koje metode nastavnici prakticiraju prilikom upotrebe udžbenika na nastavi. Rezultati empirijskih studija pokazuju da nastavnici udžbenike većinom koriste za pripremu nastavnog sata, a učenici udžbenike koriste u najvećoj mjeri za vježbanje. Ti rezultati ukazuju na to da tako važna uloga udžbenika u matematičkom obrazovanju zaslužuje dodatnu pažnju s ciljem razumijevanja i poboljanja nastave matematike.Ključne riječi: istraživanje udžbenika; nastava matematike; pregled.


2021 ◽  
Vol 107 (1) ◽  
pp. 1-24
Author(s):  
Arthur Bakker ◽  
Jinfa Cai ◽  
Linda Zenger

AbstractBefore the pandemic (2019), we asked: On what themes should research in mathematics education focus in the coming decade? The 229 responses from 44 countries led to eight themes plus considerations about mathematics education research itself. The themes can be summarized as teaching approaches, goals, relations to practices outside mathematics education, teacher professional development, technology, affect, equity, and assessment. During the pandemic (November 2020), we asked respondents: Has the pandemic changed your view on the themes of mathematics education research for the coming decade? If so, how? Many of the 108 respondents saw the importance of their original themes reinforced (45), specified their initial responses (43), and/or added themes (35) (these categories were not mutually exclusive). Overall, they seemed to agree that the pandemic functions as a magnifying glass on issues that were already known, and several respondents pointed to the need to think ahead on how to organize education when it does not need to be online anymore. We end with a list of research challenges that are informed by the themes and respondents’ reflections on mathematics education research.


2021 ◽  
Vol 21 (1) ◽  
Author(s):  
Chantal Morin ◽  
Isabelle Gaboury

Abstract Background Despite the increasing use of osteopathy, a manipulative complementary and alternative medicine therapy, in the general population, its efficacy continues to be debated. In this era of evidence-based practice, no studies have previously reviewed the scientific literature in the field to identify published knowledge, trends and gaps in empirical research. The aims of this bibliometric analysis are to describe characteristics of articles published on the efficacy of osteopathic interventions and to provide an overall portrait of their impacts in the scientific literature. Methods A bibliometric analysis approach was used. Articles were identified with searches using a combination of relevant MeSH terms and indexing keywords about osteopathy and research designs in MEDLINE and CINAHL databases. The following indicators were extracted: country of primary author, year of publication, journals, impact factor of the journal, number of citations, research design, participants’ age group, system/body part addressed, primary outcome, indexing keywords and types of techniques. Results A total of 389 articles met the inclusion criteria. The number of empirical studies doubled every 5 years, with the United States, Italy, Spain, and United Kingdom being the most productive countries. Twenty-three articles were cited over 100 times. Articles were published in 103 different indexed journals, but more than half (53.7%) of articles were published in one of three osteopathy-focused readership journals. Randomized control trials (n = 145; 37.3%) and case reports (n = 142; 36.5%) were the most common research designs. A total of 187 (48.1%) studies examined the effects of osteopathic interventions using a combination of techniques that belonged to two or all of the classic fields of osteopathic interventions (musculoskeletal, cranial, and visceral). Conclusion The number of osteopathy empirical studies increased significantly from 1980 to 2014. The productivity appears to be very much in sync with practice development and innovations; however, the articles were mainly published in osteopathic journals targeting a limited, disciplinary-focused readership.


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