Schoenfeld, Alan H.
As one of the three Rs, "'rithmetic" has always been central to education and education research. By virtue of that centrality, research in mathematics education has often reflected and at times led trends in education research. This chapter provides some deep background on epistemological and other issues that shape current research,…
Pais, Alexandre; Valero, Paola
We discuss contemporary theories in mathematics education in order to do research on research. Our strategy consists of analysing discursively and ideologically recent key publications addressing the role of theory in mathematics education research. We examine how the field fabricates its object of research by deploying Foucault's notion of…
This paper focusses on how researching is done through reflections about, or at a meta-level to, the practice over time of an enactivist mathematics education researcher. How are the key concepts of enactivist theory ("ZDM Mathematics Education," doi: 10.1007/s11858-014-0634-7, 2015) applied? This paper begins by giving an…
Leatham, Keith R
In this book, experts discuss vital issues in mathematics education and what they see as viable directions for research in mathematics education to address them. Their recommendations take the form of overarching principles and ideas that cut across the field.
Herbel-Eisenmann, Beth; Sinclair, Nathalie; Chval, Kathryn B.; Clements, Douglas H.; Civil, Marta; Pape, Stephen J.; Stephan, Michelle; Wanko, Jeffrey J.; Wilkerson, Trena L.
The NCTM Research Committee identifies key influences on mathematics education that are largely outside the domain of the academic world in which most mathematics education researchers live. The groups that are identified--including the media, companies and foundations, and other academic domains--affect the public's perception of mathematics and…
Lo, Jane-Jane; Zoest, Laura RVan
Research on the preparation and continued development of mathematics teachers is becoming an increasingly important subset of mathematics education research. Such research explores the attributes, knowledge, skills and beliefs of mathematics teachers as well as methods for assessing and developing these critical aspects of teachers and influences on teaching.Research Trends in Mathematics Teacher Education focuses on three major themes in current mathematics teacher education research: mathematical knowledge for teaching, teacher beliefs and identities, and tools and techniques to support teacher learning. Through careful reports of individual research studies and cross-study syntheses of the state of research in these areas, the book provides insights into teachers' learning processes and how these processes can be harnessed to develop effective teachers. Chapters investigate bedrock skills needed for working with primary and secondary learners (writing relevant problems, planning lessons, being attentive to...
Cai, Jinfa, Ed.
This volume, a comprehensive survey and critical analysis of today's issues in mathematics education, distills research to build knowledge and capacity in the field. The compendium is a valuable new resource that provides the most comprehensive evidence about what is known about research in mathematics education. The 38 chapters present five…
Hitt, Fernando; Thompson, Patrick W
The present volume of Research in Collegiate Mathematics Education, like previous volumes in this series, reflects the importance of research in mathematics education at the collegiate level. The editors in this series encourage communication between mathematicians and mathematics educators, and as pointed out by the International Commission of Mathematics Instruction (ICMI), much more work is needed in concert with these two groups. Indeed, editors of RCME are aware of this need and the articles published in this series are in line with that goal. Nine papers constitute this volume. The first
Selden, Annie; Harel, Guershon; Hauk, Shandy
The sixth volume of Research in Collegiate Mathematics Education presents state-of-the-art research on understanding, teaching, and learning mathematics at the postsecondary level. The articles advance our understanding of collegiate mathematics education while being readable by a wide audience of mathematicians interested in issues affecting their own students. This is a collection of useful and informative research regarding the ways our students think about and learn mathematics. The volume opens with studies on students' experiences with calculus reform and on the effects of concept-based
Selden, Annie; Harel, Guershon; Hitt, Fernando
This fifth volume of Research in Collegiate Mathematics Education presents state-of-the-art research on understanding, teaching, and learning mathematics at the post-secondary level. The articles in RCME are peer-reviewed for two major features: (1) advancing our understanding of collegiate mathematics education, and (2) readability by a wide audience of practicing mathematicians interested in issues affecting their own students. This is not a collection of scholarly arcana, but a compilation of useful and informative research regarding the ways our students think about and learn mathematics.
A synthesis of reasons for the production of this monograph is presented with a focus on contemporary research in the context of the Ninth Congress of the European Society for Research in Mathematics Education. Within the domain of mathematics and language, three lines of concern are addressed: (1) classroom discourse, (2) language diversity, and…
Arcavi, A; Kaput, Jim; Dubinsky, Ed; Dick, Thomas
Volume III of Research in Collegiate Mathematics Education (RCME) presents state-of-the-art research on understanding, teaching, and learning mathematics at the post-secondary level. This volume contains information on methodology and research concentrating on these areas of student learning: Problem solving. Included here are three different articles analyzing aspects of Schoenfeld's undergraduate problem-solving instruction. The articles provide new detail and insight on a well-known and widely discussed course taught by Schoenfeld for many years. Understanding concepts. These articles fe
Pais, Alexandre; Stentoft, Diana; Valero, Paola
In C. Bergsten, E. Jablonka and T. Wedege (Eds), Mathematics and mathematics education: Cultural and social dimensions. Proceedings of MADIF7, The Seventh Mathematics Education Research Seminar, Stockholm, January 26-27, 2010. Linköping: SMDF....
In light of anticipated changes in mathematics education, an alternative for the well- known "research-development-diffusion" model is presented. It is based on an integration of curriculum research and design embedded in "educational development." In this context curriculum development is described
Dubinsky, Ed; Kaput, Jim
This fourth volume of Research in Collegiate Mathematics Education (RCME IV) reflects the themes of student learning and calculus. Included are overviews of calculus reform in France and in the U.S. and large-scale and small-scale longitudinal comparisons of students enrolled in first-year reform courses and in traditional courses. The work continues with detailed studies relating students' understanding of calculus and associated topics. Direct focus is then placed on instruction and student comprehension of courses other than calculus, namely abstract algebra and number theory. The volume co
This position paper discusses the role of open access research data within mathematics education, a relatively new initiative across the wider research community. International and national policy documents are explored and examples from both the scientific and social science paradigms of mathematical sciences and mathematics education…
van den Heuvel-Panhuizen, Marja
This paper problematizes the issue of how decisions about the content of mathematics education can be made. After starting with two examples where research in mathematics education resulted in different choices on the content of primary school teaching, I explore where and how, in the scientific enterprise within the domain of education, issues of…
Thunder, Kateri; Berry, Robert Q., III.
Mathematics education has benefited from qualitative methodological approaches over the past 40 years across diverse topics. Although the number, type, and quality of qualitative research studies in mathematics education has changed, little is known about how a collective body of qualitative research findings contributes to our understanding of a…
Laski, Elida V.; Reeves, Todd D.; Ganley, Colleen M.; Mitchell, Rebecca
Instructors ("N"?=?204) of elementary mathematics methods courses completed a survey assessing the extent to which they value cognitive research and incorporate it into their courses. Instructors' responses indicated that they view cognitive research to be fairly important for mathematics education, particularly studies of domain-specific topics,…
Albarracín, Lluís; Hernández-Sabaté, Aura; Gorgorió, Núria
[EN] This article presents a review of research made in the eld of mathematics education onthe use of video games in the classroom. These investigations have focused on four areas:impact in academic performance focused on mathematical contents, speci c mathematicalcontents learning, videogame design elements for mathematical learning and relation bet-ween videogames and problem solving. Finally, we propose two research new approachesthat have not been explored so far, like ...
Ross, Amanda A.; Onwuegbuzie, Anthony J.
In wake of federal legislation such as the No Child Left Behind Act of 2001 that have called for "scientifically based research in education," this study examined the possible trends in mixed methods research articles published in 2 peer-reviewed mathematics education journals (n = 87) from 2002 to 2006. The study also illustrates how…
Full Text Available This article presents a review of research made in the field of mathematics education on the use of video games in the classroom. These investigations have focused on four areas: impact in academic performance focused on mathematical contents, specific mathematical contents learning, videogame design elements for mathematical learning and relation bet-ween videogames and problem solving. Finally, we propose two research new approaches that have not been explored so far, like the use of commercial videogames for mathematical activities or the use of simulation games as environment to promote mathematical modeling.
Srivastava, Hari; Mursaleen, M; Majid, Zanariah
This book features selected papers from The Seventh International Conference on Research and Education in Mathematics that was held in Kuala Lumpur, Malaysia from 25 - 27th August 2015. With chapters devoted to the most recent discoveries in mathematics and statistics and serve as a platform for knowledge and information exchange between experts from academic and industrial sectors, it covers a wide range of topics, including numerical analysis, fluid mechanics, operation research, optimization, statistics and game theory. It is a valuable resource for pure and applied mathematicians, statisticians, engineers and scientists, and provides an excellent overview of the latest research in mathematical sciences.
This article traces some of the influential ideas and motivations that have shaped a large part of the research on the use of new technologies in mathematics education over the past 40 years. Particular attention is focused on Papert's legacy, Celia's Hoyles' transformation of it, and how both relate to the current research landscape that features…
The goal of this paper is to present a framework of researcher knowledge development in conducting a study in mathematics education. The key components of the framework are: knowledge germane to conducting a particular study, processes of knowledge accumulation, and catalyzing filters that influence a researcher's decision making. The components…
Leatham, Keith R.
The author argues that the field of mathematics education as a whole can and should improve its citation practices. He discusses 4 forms of citation practice and considers how they vary with respect to transparency of voice. He also discusses several ways that citation practices may misrepresent cited authors' ideas. He concludes with suggestions…
Bartell, Tonya Gau; Johnson, Kate R.
In this essay, the authors begin to "unpack the invisible knapsack" of mathematics education research privilege. They present short statements representing the multiplicity of their respective identities; acknowledging that efforts to understand privilege and oppression are often supported and constrained by identities. The authors then…
Shipulina, Olga V.; Campbell, Stephen R.; Cimen, Arda O.
This paper reports on the potential roles and importance of electrooculography (EOG) for mathematics educational neuroscience research. EOG enables accurate measurements of eye-related behavior (i.e., blinks & movements) by recording changes in voltage potentials generated by eye-related behavior. We identify and discuss three main uses of EOG.…
How can we deal with the diversity of theories in mathematics education This was the main question that led the authors of this book to found the Networking Theories Group. Starting from the shared assumption that the existence of different theories is a resource for mathematics education research, the authors have explored the possibilities of interactions between theories, such as contrasting, coordinating, and locally integrating them. The book explains and illustrates what it means to network theories; it presents networking as a challenging but fruitful research practice and shows how the Group dealt with this challenge considering five theoretical approaches, namely the approach of Action, Production, and Communication (APC), the Theory of Didactical Situations (TDS), the Anthropological Theory of the Didactic (ATD), the approach of Abstraction in Context (AiC), and the Theory of Interest-Dense Situations (IDS). A synthetic presentation of each theory and their connections shows how the activity of netw...
Charitas Indra Prahmana, Rully; Kusumah, Yaya S.; Darhim
This study aims to describe the role of research-based learning in design a learning trajectory of research in mathematics education to enhance research and academic writing skills for pre-service mathematics teachers. The method used is a design research with three stages, namely the preliminary design, teaching experiment, and retrospective analysis. The research subjects are pre-service mathematics teacher class of 2012 from one higher education institution in Tangerang - Indonesia. The use of research-based learning in designing learning trajectory of research in mathematics education plays a crucial role as a trigger to enhancing math department preservice teachers research and academic writing skills. Also, this study also describes the design principles and characteristics of the learning trajectory namely didactic trajectory generated by the role of research-based learning syntax.
Adler, Jill; Alshwaikh, Jehad; Essack, Regina; Gcsamba, Lizeka
This article reports a review of research in mathematics education in South Africa published in local and international journals in the period 2007-2015. The purpose of the review was to describe the landscape of mathematics education research in the country over the past (almost) decade. Findings indicate that the mathematics education research…
Mathematics education is powerful. This is an assertion that appears often in mathematics education research papers. However, the meaning of the assertion is far from being clear. An analysis of different ways of talking about power in relation to mathematics education, in research literature, is...
Valero, Paola; Knijnik, Gelsa
Research on the pedagogical uses of ICT for the learning of mathematics formulates cultural thesis about the desired subject of education and society, and thereby contribute to fabricate the rational, Modern, self-regulated, entrepreneurial neoliberal child. Using the Foucauldian notion...... of governmentality, the section Technology in the mathematics curriculum in the Third International Mathematics Education Research Handbook is discursively analyzed. We problematize how mathematics education research on ICT devices pedagogical technologies that steer the conduct of children to become the desired...
Bullock, Erika C.
In this chapter, I use figure hiding as a metaphor representing the processes of exclusion and suppression that critical mathematics education (CME) seeks to address. Figure hiding renders identities and modes of thought in mathematics education and mathematics education research invisible. CME has a commitment to addressing figure hiding by…
Singer, Florence Mihaela; Sheffield, Linda Jensen; Leikin, Roza
Creativity and giftedness in mathematics education research are topics of an increased interest in the education community during recent years. This introductory paper to the special issue on Mathematical Creativity and Giftedness in Mathematics Education has a twofold purpose: to offer a brief historical perspective on the study of creativity and…
Stinson, David W.; Walshaw, Margaret
In this essay, traveling through the past half-century, the authors illustrate how mathematics education research shifted, theoretical, beyond its psychological and mathematical roots. Mapping four historical moments of mathematics education research onto broader paradigms of inquiry, the authors make a case for the field to take up a theoretical…
Yang, Kai-Lin; Hsu, Hui-Yu; Lin, Fou-Lai; Chen, Jian-Cheng; Cheng, Ying-Hao
This paper aims to explore the educative power of an experienced mathematics teacher educator-researcher (MTE-R) who displayed his insights and strategies in teacher professional development (TPD) programs. To this end, we propose a framework by first conceptualizing educative power based on three constructs--communication, reasoning, and…
This article discusses major theoretical debates and paradigms from the last decades in general education and their specific influences in mathematics education contexts. Behaviourism, cognitive science, constructivism, situated cognition, critical theory, place-based learning, postmodernism and poststructuralism and their significant aspects in…
重松, 敬一; 井戸野, 佐知子; 勝美, 芳雄
Recently, there are many classes in which at least two teachers teach mathematics in elementary and lower secondary schools. We call that kind of teaching team-teaching. In some countries, it is called co-operative teaching. In this paper, we investigate the concept of team-teaching in mathematics education implementing a questionnaire, interviews or observing classroom lessons. Today, team-teaching has been administratively systematized. For example, additive teachers are sent to local schoo...
Jessen, Britta Eyrich
the scope of teaching at this level. With respect to mathematical modelling, links and gaps were identified between scholarly knowledge and knowledge to be taught in secondary school. It is suggested that SRP based teaching can bridge parts of the identified gaps. Finally, it is found that in order for SRP......In didactics of mathematics, researchers have for decades been interested in how to teach students to pose questions and solve problems. Several approaches rely on the idea, that students learn mathematics, when they are engaged in activities similar to research mathematicians. This PhD project...... touch upon these ideas from the perspective offered by the Anthropological Theory of Didactics (ATD ). Within ATD, teaching is proposed to be designed as Study and Research Paths (SRP). This thesis investigates how SRP's support the students' learning of mathematics in a bidisciplinary context involving...
Over reliance on the perspective of a dichotomous reject or fail-to-reject outcome from a null hypothesis testing framework to answer research questions has become a worrisome issue to research methodologists and statistics experts. Thus, the Journals of Mathematical Association of Nigeria, Abacus (2013 & 2014) were ...
Hyslop-Margison, Emery; Rogers, Matthew; Oladi, Soudeh
Despite widespread calls for evidence-based research in education, this strategy has heretofore generated a surprisingly small return on the related financial investment. Some scholars have suggested that the situation follows from a mismatch between education as an assumed field of study and applied empirical research methods. This article's…
Viktor M. Fedoseyev
Full Text Available Introduction: questions of integration of mathematical with engineering training in educational process of higher education institution are explored. The existing technologies of the integrated training are analyzed, and the project-oriented direction is distinguished. Research involving students as an organisational and methodical form of training bachelors of the technical speciali sations is discussed. Materials and Methods: results of article are based on researches of tendencies of development of technical and mathematical education, works on the theory and methodology of pedagogical integration, methodology of mathematics and technical science. Methods of historical and pedagogical research, analytical, a method of mathematical modeling were used. Results: the main content of the paper is to make discussion of experience in developing and using integrated educational tasks in real educational process. Discussion is based on a specific technological assignment including a number of mathematical tasks used as a subject of research for students. In the assignment a special place is allocated to the questions reflecting the interplay of a technical task with a mathematical method of research highlighting the objective significance of mathematics as a method to solve engineering problems. Discussion and Conclusions: the paper gives reasons to conditions for using research work with students as an organisational and methodical form of integrated training in mathematics. In realisation of educational technology it is logical to apply the method of projects. It is necessary to formulate a task as an engineering project: to set an engineering objective of research, to formulate specifications; to differentiate between engineering and mathematical tasks of the project, to make actual interrelations between them; the mathematical part of the project has to be a body of research; assessment of the project must be carried out not only accounting for
In this research, at first, the previous work of collaborative learning and cooperative learning was investigated on learning sciences and cognitive psychology. It is clarified the difference of interde-pendent, of the epistemology and of the subject who construct knowledge. The secondly, investigation since 1990 of the collaborative learning research in mathematics educa-tion was conducted based on eight sorts of mathematics education academic journals, and the present affairs and the issues...
Battista, Michael T.
Because traditional instruction ignores students' personal construction of mathematical meaning, mathematical thought development is not properly nurtured. Several issues must be addressed, including adults' ignorance of math- and student-learning processes, identification of math-education research specialists, the myth of coverage, testing…
Niss, Mogens; Bruder, Regina; Planas, Núria; Turner, Ross; Villa-Ochoa, Jhony Alexander
This paper presents the outcomes of the work of the ICME 13 Survey Team on "Conceptualisation and the role of competencies, knowing and knowledge in mathematics education research". It surveys a variety of historical and contemporary views and conceptualisations of what it means to master mathematics, focusing on notions such as…
Mathematics has many branches: there are the pure, the applied, and the applicable; the theoretical and the practical. There is mathematics for school, for college, and for industry. All these belong to the same family and are bound together by a "mathematical way of thinking." Some mathematicians devote themselves entirely to the well being of this family by preserving it, developing it, and teaching it to the next generation. Others use the familial attributes to help outsiders by taking up their problems and transforming them into mathematical questions in order to solve them. The work of these mathematicians is thus problem driven, based on mathematical models, and oriented on the goal of offering practicable solutions. This second group is sizeable; its members include almost all college graduates working in industry, in the private sector, or in the Fraunhofer Institutes, for example. This group is hardly visible, however, and one seldom hears its voices either. This book remedies this situation by rela...
Højgaard, Tomas; Jankvist, Uffe Thomas
The paper argues for a three-dimensional course design structure for future mathematics teacher educators. More precisely we describe the design and implementation of a course basing itself on: the two mathematical competencies of modelling and problem tackling, this being the first dimension......; the two mathematical topics of differential equations and stochastics, this being the second dimension; and finally a third dimension the purpose of which is to deepen the two others by means of a didactical perspective....
Bikner-Ahsbahs, Angelika; Presmeg, Norma
This volume documents a range of qualitative research approaches emerged within mathematics education over the last three decades, whilst at the same time revealing their underlying methodologies. Continuing the discussion as begun in the two 2003 ZDM issues dedicated to qualitative empirical methods, this book presents astate of the art overview on qualitative research in mathematics education and beyond. The structure of the book allows the reader to use it as an actual guide for the selection of an appropriate methodology, on a basis of both theoretical depth and practical implications. The methods and examples illustrate how different methodologies come to life when applied to a specific question in a specific context. Many of the methodologies described are also applicable outside mathematics education, but the examples provided are chosen so as to situate the approach in a mathematical context.
Reasoning in the Elementary Grades Classroom Assessment as the Basis for Teacher Change (CATCH) Statistics motion, calculus, statistics, genetics, evolution, astronomy, and other topics. Teacher professional populations in California, Massachusetts, and Wisconsin are examining (a) children's mathematical and
Zazkis, Rina; Liljedahl, Peter
This book applies years of experience in the use of lesson play to a variety of situations involving mathematics thinking and learning. Covers lesson play in pre-service teacher education, and discusses its potential for both researchers and teacher educators.
The advent of fast and sophisticated computer graphics has brought dynamic and interactive images under the control of professional mathematicians and mathematics teachers. This volume in the NATO Special Programme on Advanced Educational Technology takes a comprehensive and critical look at how the computer can support the use of visual images in mathematical problem solving. The contributions are written by researchers and teachers from a variety of disciplines including computer science, mathematics, mathematics education, psychology, and design. Some focus on the use of external visual images and others on the development of individual mental imagery. The book is the first collected volume in a research area that is developing rapidly, and the authors pose some challenging new questions.
mathematics education, and the most relevant modern movements in the philosophy of mathematics. A case study is provided of an emerging research tradition in one country. This is the Hermeneutic strand of research in the philosophy of mathematics education in Brazil. This illustrates one orientation towards......This survey provides a brief and selective overview of research in the philosophy of mathematics education. It asks what makes up the philosophy of mathematics education, what it means, what questions it asks and answers, and what is its overall importance and use? It provides overviews of critical...... research inquiry in the philosophy of mathematics education. It is part of a broader practice of ‘philosophical archaeology’: the uncovering of hidden assumptions and buried ideologies within the concepts and methods of research and practice in mathematics education. An extensive bibliography is also...
Designed to support both teachers and university-based tutors in mentoring pre-service and newly qualified mathematics teachers at both primary and secondary levels, Mentoring Mathematics Teachers offers straightforward practical advice that is based on practice, underpinned by research, and geared specifically towards this challenging subject area.Developed by members of The Association of Mathematics Education Teachers, the authors draw upon the most up-to-date research and theory to provide evidence-based practical guidance. Themes covered include:
Sriraman, Bharath, Ed.; Bergsten, Christer, Ed.; Goodchild, Simon, Ed.; Palsdottir, Gudbjorg, Ed.; Sondergaard, Bettina Dahl, Ed.; Haapasalo, Lenni, Ed.
The First Sourcebook on Nordic Research in Mathematics Education: Norway, Sweden, Iceland, Denmark and contributions from Finland provides the first comprehensive and unified treatment of historical and contemporary research trends in mathematics education in the Nordic world. The book is organized in sections co-ordinated by active researchers in…
Valero, Paola; Knijnik, Gelsa
Research on the pedagogical uses of ICT for the learning of mathematics formulates cultural thesis about the desired subject of education and society, and thereby contribute to fabricate the rational, Modern, self-regulated, entrepreneurial neoliberal child. Using the Foucauldian notion of governmentality, the section Technology in the…
Clements, Douglas H.; Battista, Michael T.
This book, the 10th volume in the Journal for Research in Mathematics Education (JRME) Monograph Series, discusses the geometry curriculum and investigates how elementary school students learn geometric concepts and how Logo programming and its turtle graphics might affect this learning. This volume also provides details on the development,…
To rethink about our role as researchers of the mathematics education pro- cess could be a way to think about the relation between for what and why mathematics education exists. Some thoughts, that grew from my inner dia- logues as a researcher, teacher, student, and mother that I am, were devel- oped within practices inside multiple systems in which I was engaged, bring- ing some questions that became a paper from the necessity for sharing them in the Discussion Group 3 of the ICME environment
Full Text Available Recent studies in math education focus on differences between behaviors and performances of male and female students. In this study, achievement and attitudes of middle school students to math were described in terms of gender and grade differences. The aim of this study is to determine whether any differences exist between female and male students’ attitudes and successes of middle school toward mathematics. This research was designed as a descriptive research. Students (6th, 7th, and 8th grades were registered to “Attitude Survey toward Mathematics”. This survey is consisted of two parts. In the first part, there are demographic questions. The second part is 5-Likert type survey which is intended to learn students’ attitudes toward mathematics. Secondly, in order to determine students’ achievements from mathematics, their grades and their state exam results were used. Because of the possibility of differentiation in teachers’ evaluation criteria and their objectivity on students’ successes, both students’ scores from state exam and their course grades were included to the analysis.The findings of this research indicate that attitude of the students toward mathematics and achievement scores in Mathematics have a significant difference in terms of their gender and grade levels. Female students performed more positive attitudes than male students toward Mathematics and female students had higher grades than male students.
Leyva, Luis A.
Gender research in mathematics education has experienced methodological and theoretical shifts over the past 45 years. Although achievement studies have used assessment tools to explore and subsequently challenge the assumption of male superiority on mathematics assessments, research on participation has unpacked these studies' sex-based…
Cheng Chieh Chang
Full Text Available Research collected and reviewed a number of empirical studies in the field of educational research regarding the analysis of mathematics textbooks to provide summary and overview the information there in. The questions were identified via Google Scholar and collected from different data sources. A total of 44 papers published from 1953 to 2015 were selected based specific criteria, with 24 articles include in the SSCI database. Descriptive statistics were used to evaluate and interpret the results. A perspective on the learning analysis methods was used to collect studies and showed the mathematics textbooks analyzed were investigated under four themes: The analysis of standards, distributive property, language in mathematics, and others. School’s level which is investigated textbooks: Kindergarten, elementary, junior school, and senior school. Subjects covered in the mathematics textbooks included algebra and arithmetic, geometry, measurement, data analysis and probability, number and operations, among others. Research found the most frequently discussed in perspective on learning was the analysis of the standards and the distributive property (15 studies, the most common subject was number and operations (16 studies, and the highest number in school’s level was elementary school (18 studies. Nevertheless, fewer studies have been found to analyzing mathematics textbooks. Future research can pay attention for the relevant theoretical issues and collaborate studies in more perspective learning analysis.
Kastberg, Signe E.; Tyminski, Andrew M.; Sanchez, Wendy B.
Calls have been made for the creation of a shared knowledge base in mathematics teacher education with the power to inform the design of scholarly inquiry and mathematics teacher educators' (MTEs) scholarly practices. Focusing on mathematics methods courses, we summarize and contribute to literature documenting activities MTEs use in mathematics…
National Academies Press, 2009
In 1998, the National Science Foundation (NSF) launched a program of Grants for Vertical Integration of Research and Education in the Mathematical Sciences (VIGRE). These grants were designed for institutions with PhD-granting departments in the mathematical sciences, for the purpose of developing high-quality education programs, at all levels,…
Schoenfeld, Alan H
This volume is a result of mathematicians, cognitive scientists, mathematics educators, and classroom teachers combining their efforts to help address issues of importance to classroom instruction in mathematics. In so doing, the contributors provide a general introduction to fundamental ideas in cognitive science, plus an overview of cognitive theory and its direct implications for mathematics education. A practical, no-nonsense attempt to bring recent research within reach for practicing teachers, this book also raises many issues for cognitive researchers to consider.
Figueiras, Lourdes; Healy, Lulu; Skovsmose, Ole
The round-table discussion on Difference, Inclusion and Mathematics Education was in included in the scientific programme of VI SIPEM in recognition and celebration of the emerging body of research into the challenges of building a culture of mathematics education which values and respects the di...
contribution to the shaping of those concerns in the international community of mathematics educators and mathematics education researchers. This book gathers contributions of researchers from five continents, for whom critical mathematics education has been an inspiration to think about many different topics...... such as the dialogical and political dimensions of teacher education, mathematical modeling, the philosophy of mathematics from social and political perspectives, teaching practices in classrooms, the connection between mathematics and society, the scope and limits of critical thinking in relation to mathematics......Critical mathematics education brings together a series of concerns related to mathematics and its role in society, the practices of teaching and learning of mathematics in educational settings, and the practices of researching mathematics education. The work of Ole Skovsmose has provided a seminal...
Hsu, Pao-sheng; Pollatsek, Harriet
Many in the mathematics community in the U.S. are involved in mathematics education in various capacities. This book highlights the breadth of the work in K-16 mathematics education done by members of US departments of mathematical sciences. It contains contributions by mathematicians and mathematics educators who do work in areas such as teacher education, quantitative literacy, informal education, writing and communication, social justice, outreach and mentoring, tactile learning, art and mathematics, ethnomathematics, scholarship of teaching and learning, and mathematics education research. Contributors describe their work, its impact, and how it is perceived and valued. In addition, there is a chapter, co-authored by two mathematicians who have become administrators, on the challenges of supporting, evaluating, and rewarding work in mathematics education in departments of mathematical sciences. This book is intended to inform the readership of the breadth of the work and to encourage discussion of its val...
Penglase, Marina; Arnold, Stephen
The graphics calculator, sometimes referred to as the "super calculator," has sparked great interest among mathematics educators. Considered by many to be a tool which has the potential to revolutionise mathematics education, a significant amount of research has been conducted into its effectiveness as a tool for instruction and learning within precalculus and calculus courses, specifically in the study of functions, graphing and modelling. Some results suggest that these devices (a) can facilitate the learning of functions and graphing concepts and the development of spatial visualisation skills; (b) promote mathematical investigation and exploration; and (c) encourage a shift in emphasis from algebraic manipulation and proof to graphical investigation and examination of the relationship between graphical, algebraic and geometric representations. Other studies, however, indicate that there is still a need for manipulative techniques in the learning of function and graphing concepts, that the use of graphics calculators may not facilitate the learning of particular precalculus topics, and that some "de-skilling" may occur, especially among males. It is the contention of this paper, however, that much of the research in this new and important field fails to provide clear guidance or even to inform debate in adequate ways regarding the role of graphics calculators in mathematics teaching and learning. By failing to distinguish the role of the tool from that of the instructional process, many studies reviewed could be more appropriately classified as "program evaluations" rather than as research on the graphics calculator per se. Further, claims regarding the effectiveness of the graphics calculator as a tool for learning frequently fail to recognise that judgments of effectiveness result directly from existing assumptions regarding both assessment practice and student "achievement."
Figueiras, Lourdes; Healy, Lulu; Skovsmose, Ole
The round-table discussion on Difference, Inclusion and Mathematics Education was in included in the scientific programme of VI SIPEM in recognition and celebration of the emerging body of research into the challenges of building a culture of mathematics education which values and respects...... the diversity of learners in different educational contexts – in Brazil and beyond. This paper presents the contributions to the discussion, which focus on the problematisation of the term “inclusion”, explorations of how the practices of previously marginalized students can bring new resources to the teaching...... and learning of mathematics and reflections upon the potentially discriminatory nature of the structures which currently mould school mathematics. The paper aims to serve as material for the developing research agenda of the thirteenth working group of the Brazilian Society of Mathematics Education, which met...
de Freitas, Elizabeth
In this chapter we interrogate the debate between mathematicians and mathematics educators. This debate is widely recognized in the United States, for instance, where the term 'math wars' is often used in reference to the heated disagreements between mathematicians and mathematics edu- tors. Such recognition might suggest that this topic itself has relevance both for the academy and for educational policy pertaining to mathematics edu- tion. We propose to locate this debate, unavoidably, whenever and wherever mathematics education is written. Our aim is to show how the debate itself gives rise to the inscription mathematics education. Indeed, we contend that 'mathematics education' cannot be defined outside of, or prior to, the debate, for it is precisely through the debate that it is constituted as a domain for 1 deliberation. The debate is more primordial than any epistémè or domain implied by it. In other words, we argue that mathematics and mathematics education do not exist epistemically prior to the d...
As the role of the modern engineer is markedly different from that of even a decade ago, the theme of engineering mathematics educa tion (EME) is an important one. The need for mathematical model ling (MM) courses and consideration of the educational impact of computer-based technology environments merit special attention. This book contains the proceeding of the NATO Advanced Research Workshop held on this theme in July 1993. We have left the industrial age behind and have entered the in formation age. Computers and other emerging technologies are penetrating society in depth and gaining a strong influence in de termining how in future society will be organised, while the rapid change of information requires a more qualified work force. This work force is vital to high technology and economic competitive ness in many industrialised countries throughout the world. Within this framework, the quality of EME has become an issue. It is expected that the content of mathematics courses taught in schools o...
Valero, Paola; Hoyles, Celia; Skovsmose, Ole
What does it mean to know mathematics? How does meaning in mathematics education connect to common sense or to the meaning of mathematics itself? How are meanings constructed and communicated and what are the dilemmas related to these processes? There are many answers to these questions, some of which might appear to be contradictory. Thus understanding the complexity of meaning in mathematics education is a matter of huge importance. There are twin directions in which discussions have developed - theoretical and practical - and this book seeks to move the debate forward along both dimensions while seeking to relate them where appropriate. A discussion of meaning can start from a theoretical examination of mathematics and how mathematicians over time have made sense of their work. However, from a more practical perspective, anybody involved in teaching mathematics is faced with the need to orchestrate the myriad of meanings derived from multiple sources that students develop of mathematical knowledge.
Pardimin, H.; Arcana, N.
Many types of research in the field of mathematics education apply the Quasi-Experimental method and statistical analysis use t-test. Quasi-experiment has a weakness that is difficult to fulfil “the law of a single independent variable”. T-test also has a weakness that is a generalization of the conclusions obtained is less powerful. This research aimed to find ways to reduce the weaknesses of the Quasi-experimental method and improved the generalization of the research results. The method applied in the research was a non-interactive qualitative method, and the type was concept analysis. Concepts analysed are the concept of statistics, research methods of education, and research reports. The result represented a way to overcome the weaknesses of quasi-Experiments and T-test. In addition, the way was to apply a combination of Factorial Design and Balanced Design, which the authors refer to as Factorial-Balanced Design. The advantages of this design are: (1) almost fulfilling “the low of single independent variable” so no need to test the similarity of the academic ability, (2) the sample size of the experimental group and the control group became larger and equal; so it becomes robust to deal with violations of the assumptions of the ANOVA test.
Saxena, Ritu; Shrivastava, Keerty; Bhardwaj, Ramakant
Mathematics is not only a subject but it is also a language consisting of many different symbols and relations. Taught as a compulsory subject up the 10th class, students are then able to choose whether or not to study mathematics as a main subject. The present paper discusses mathematical modeling in mathematics education. The article provides…
Mathematics Education in the South Pacific. Proceedings of the Annual Conference of the Mathematics Education Research Group of Australasia Incorporated (25th, Auckland, New Zealand, July 7-10, 2002). Volume I [and] Volume II.
Barton, Bill, Ed.; Irwin, Kathryn C., Ed.; Pfannkuch, Maxine, Ed.; Thomas, Michael O. J., Ed.
This document contains the proceedings of the 25th annual conference of the Mathematics Education Research Group of Australia (MERGA) held at the University of Auckland, New Zealand. The focus of this meeting is mathematics education in the South Pacific. Presentations are centered around the topic of numeracy in primary or elementary school.…
Outlines mathematical topics of use to college geography students identifies teaching methods for mathematical techniques in geography at the University of Leeds; and discusses problem of providing students with a framework for synthesizing all content of geography education. For journal availability, see SO 506 593. (Author/AV)
This book brings together diverse recent developments exploring the philosophy of mathematics in education. The unique combination of ethnomathematics, philosophy, history, education, statistics and mathematics offers a variety of different perspectives from which existing boundaries in mathematics education can be extended. The ten chapters in this book offer a balance between philosophy of and philosophy in mathematics education. Attention is paid to the implementation of a philosophy of mathematics within the mathematics curriculum.
The topic of models and modeling has come to be important for science and mathematics education in recent years. The topic of "Modeling" topic is especially important for examinations such as PISA which is conducted at an international level and measures a student's success in mathematics. Mathematical modeling can be defined as using…
Sriraman, Bharath, Ed.
The interaction of the history of mathematics and mathematics education has long been construed as an esoteric area of inquiry. Much of the research done in this realm has been under the auspices of the history and pedagogy of mathematics group. However there is little systematization or consolidation of the existing literature aimed at…
This PhD research was aimed at investigating the mathematical potential of special education (SE) students. SE students often have a severe delay in their mathematical development compared to peers in regular education. However, there are indications that SE students could attain more and that there might be unused talent in SE students. In the research project, two mathematical domains were chosen as a topic of investigation. One topic is part of the mathematics curriculum in SE and is gener...
Full Text Available The objective of mathematics education is not only preparingmathematicians but making well-informed citizens. This is a broad generalterms for objective of the teaching of mathematics. And, this might beimplemented as “accurate thorough knowledge” or “original logicalthinking”. So, teaching mathematics is not the conversation andtransmission of mathematical knowledge, but on the aim of preparing wellinformedcitizens trained in independent, critical thinking.By the mathematics, sciences become simple, clearer, and easier to bedeveloped. The mathematics is often applied for solving any problem ofother field of sciences, either in the physics such as astronomy, chemistry,technique; or social sciences such as economy, demography, and assurance.Those all need an analysis reading ability.Mathematical skill, therefore, relates strongly with the analysisreading ability in the human intellectual structure. This study is about therelationship between them. And, result of the study shows us as below:Both Mathematical skill and analysis reading ability possess the “high type”of thinking operation. Both also involve the same content of the abstractintelligent, i.e. symbolic and semantic contents. Last but not least, both alsouse the same product of thinking, i.e. units, classes, relations, and systems.Both can be transformed and have an implication.
Moschkovich, Judit; Planas, Nuria
This book examines multiple facets of language diversity and mathematics education. It features renowned authors from around the world and explores the learning and teaching of mathematics in contexts that include multilingual classrooms, indigenous education, teacher education, blind and deaf...
Gadanidis, George; Borba, Marcelo
Academic research is typically written in a style and for venues that remain largely inaccessible by the general public and even by the practitioners who might benefit from it. In this article we discuss a research dissemination project that takes on the challenge of using new media and alternative forms of research communication: research-based…
Thomas, Michael O. J.
The papers in this issue describe recent collaborative research into the role of inhibition of intuitive thinking in mathematics education. This commentary reflects on this research from a mathematics education perspective and draws attention to some of the challenges that arise in collaboration between research fields with different cultures,…
Hashimoto, Yoshihiko; Hodgson, Bernard; Lee, Peng; Lerman, Stephen; Sawada, Toshio
Mathematics as a discipline has a long history, emerging from many cultures, with a truly universal character. Mathematicians throughout the world have a fundamentally common understanding of the nature of mathematics and of its central problems and methods. Research mathematicians in any part of the world are part of a cohesive intellectual community that communicates fluently. Mathematics education in contrast has a variable and culturally based character, and this is certainly true of educational organization and practice. Educational research is both an applied social science and a multidisciplinary domain of theoretical scholarship. Among organizations devoted to mathematics education, The International Commission on Mathematical Instruction (ICMI) is distinctive because of its close ties to the mathematics community. The great challenges now facing mathematics education around the world demand a deeper and more sensitive involvement of disciplinary mathematicians than we now have, both in the work of ed...
Williams, Steven R.; Leatham, Keith R.
We present the results of 2 studies, a citation-based study and an opinion-based study, that ranked the relative quality of 20 English-language journals that exclusively or extensively publish mathematics education research. We further disaggregate the opinion-based data to provide insights into variations in judgment of journal quality based on…
We assume many things when considering our practice, but our assumptions limit what we do. In this theoretical/philosophical paper I consider some assumptions that relate to our work. My purpose is to stimulate a debate, a search for alternatives, and to help us improve mathematics education by influencing our future curriculum documents and…
Nivens, Ryan Andrew; Otten, Samuel
In this Research Commentary, we describe 3 journal metrics--the Web of Science's Impact Factor, Scopus's SCImago Journal Rank, and Google Scholar Metrics' h5-index--and compile the rankings (if they exist) for 69 mathematics education journals. We then discuss 2 paths that the mathematics education community should consider with regard to these…
This PhD research was aimed at investigating the mathematical potential of special education (SE) students. SE students often have a severe delay in their mathematical development compared to peers in regular education. However, there are indications that SE students could attain more and that there
Presmeg, Norma C; Presmeg, Norma C
Here are presented the contributions of Professor Alan Bishop within the mathematics education research community. Six critical issues in the development of mathematics education research are reviewed and the current developments in each area are discussed.
Kroeger, Lori A.; Brown, Rhonda Douglas; O'Brien, Beth A.
Research Findings: This article describes major theories and research on math cognition across the fields of neuroscience, cognitive psychology, and education and connects these literatures to intervention practices. Commercially available math intervention programs were identified and evaluated using the following questions: (a) Did neuroscience…
Warburton, Trevor Thayne
For many, mathematics and social justice are perceived as incompatible. Several mathematics education researchers have noted resistance to social justice among mathematics teachers. However, mathematics education has a consistently negative impact on the education of students of color. This study seeks to better understand the nature of this…
Title: Interactive whiteboard in mathematics education Author: Bc. Jan Cendelín Department:Department of Mathematics Education Supervisor: RNDr. Antonín Slavík, Ph.D., Department of Mathematics Education Abstract: The development of modern technology is very fast. Almost everyone uses the technology at work and at home as well. So it is not unexpected that the technology gets into education at schools. This thesis focuses on the education of modern mathematics, and especially on the use of th...
BÉLA ILLÉS; GABRIELLA BOGNÁR
Mathematics is a crucial language in all engineering courses and researches where mathematical modeling, simulation and manipulation are commonly used. Engineering Mathematics courses are considered difficult courses in engineering curricula. This is reflected in engineering students’ performance at the end of each semester for these courses. Our goal is to overview a few questions on mathematics as a core subject of engineering.
Full Text Available The range of information and communication technology in teaching mathematics is unlimited. Despite numerous researches about the opportunities and application of the ICT in teaching mathematics and in the world, however, many aspects remain unexplored. This research comes to knowledge that will be applicable to the educational practice. The findings will serve as motivation for more frequent use of the ICT in teaching mathematics from first to fifth grade as a mean for improving of the educational process. Through application of the ICT in the educational programs in teaching mathematics the technological improved practice is investigated and discussed and it helps overcoming of the challenges that arise when trying to integrate the ICT in the educational curricula in mathematics. The biggest challenge are the findings about the possibilities of the application of the ICT in the educational programs in math from first to fifth grade as well as their dissemination, all aimed to improving of teaching mathematics from the first to the fifth grade. The application of the most ICT in the educational programs of mathematics affects the training of the students for easier adoption of the mathematical concepts and the mathematical procedures and in the easier identification and resolving problem situations.
The zone of proximal development (ZPD) is a well-known and frequently used notion in both educational research and practice with a wide and diverse range of interpretations. My aim in writing this theoretical article is not to provide a critical examination or an extensive literature review of the ZPD, but rather to highlight some significant…
This is the first comprehensive International Handbook on the History of Mathematics Education, covering a wide spectrum of epochs and civilizations, countries and cultures. Until now, much of the research into the rich and varied history of mathematics education has remained inaccessible to the vast majority of scholars, not least because it has been written in the language, and for readers, of an individual country. And yet a historical overview, however brief, has become an indispensable element of nearly every dissertation and scholarly article. This handbook provides, for the first time, a comprehensive and systematic aid for researchers around the world in finding the information they need about historical developments in mathematics education, not only in their own countries, but globally as well. Although written primarily for mathematics educators, this handbook will also be of interest to researchers of the history of education in general, as well as specialists in cultural and even social history...
Daugherty, Sarah C.
Graphical representations such as figures, illustrations, and diagrams play a critical role in mathematics and they are equally important in mathematics education. However, graphical representations in mathematics textbooks are static, Le. they are used to illustrate only a specific example or a limited set. of examples. By using computer software to visualize mathematical principles, virtually there is no limit to the number of specific cases and examples that can be demonstrated. However, we have not seen widespread adoption of visualization software in mathematics education. There are currently a number of software packages that provide visualization of mathematics for research and also software packages specifically developed for mathematics education. We conducted a survey of mathematics visualization software packages, summarized their features and user bases, and analyzed their limitations. In this survey, we focused on evaluating the software packages for their use with mathematical subjects adopted by institutions of secondary education in the United States (middle schools and high schools), including algebra, geometry, trigonometry, and calculus. We found that cost, complexity, and lack of flexibility are the major factors that hinder the widespread use of mathematics visualization software in education.
The Mathematics Education Debate is an assignment designed for and implemented in an undergraduate mathematics methods course for prospective secondary school mathematics teachers. For the assignment, students read and analyze current research and policy reports related to mathematics education, prepare and present their positions, offer…
Mathematics often perceived as a difficult subject with many students failing to understand why they learn mathematics. This situation has been further aggravated by the teaching and learning processes used, which is mechanistic without considering students' needs. The learning of mathematics tends to be just a compulsory subject, in which all students have to attend its classes. Social justice framework facilitates individuals or groups as a whole and provides equitable approaches to achieving equitable outcomes by recognising disadvantage. Applying social justice principles in educational context is related to how the teachers treat their students, dictates that all students the right to equal treatment regardless of their background and completed with applying social justice issues integrated with the content of the subject in order to internalise the principles of social justice simultaneously the concepts of the subject. The study examined the usefulness of implementing the social justice framework as a means of improving the quality of mathematics teaching in Indonesia involved four teacher-participants and their mathematics classes. The study used action research as the research methodology in which the teachers implemented and evaluated their use of social justice framework in their teaching. The data were collected using multiple research methods while analysis and interpretation of the data were carried out throughout the study. The findings of the study indicated that there were a number of challengesrelated to the implementation of the social justice framework. The findings also indicated that, the teachers were provided with a comprehensive guide that they could draw on to make decisions about how they could improve their lessons. The interactions among students and between the teachers and the students improved, they became more involved in teaching and learning process. Using social justice framework helped the teachers to make mathematics more
Keles, Oguz; Tas, Isil; Aslan, Durmus
The aim of this study was to identify the thoughts of pre-service teachers, who play an important role in the early preschool experience of children in mathematics, towards the concepts of mathematics and education of mathematics with the help of metaphors. The study group of the research consists of a total of 227 pre-service teachers at the…
Wagner RODRIGUES VALENTE
Full Text Available This paper has as its aims: to characterize the area of research «history of mathematics education» and to defend the idea that mathematics education has constituted a privileged research theme within the field of comparative historical studies. To achieve these aims, the text includes references to a review of the literature concerning comparative studies, the analysis of two fundamental moments focused on attempts to internationalize the mathematics curriculum, both of which occurred during the 20th century, and, to end, a case study emanating from an international cooperation between researchers in Brazil and Portugal.
Full Text Available From ancient times, the history of human beings has developed by a succession of steps and sometimes jumps, until reaching the relative sophistication of the modern brain and culture. Researchers are attempting to create systems that mimic human thinking, understand speech, or beat the best human chess player. Understanding the mechanisms of intelligence, and creating intelligent artifacts are the twin goals of Artificial Intelligence (AI. Great mathematical minds have played a key role in AI in recent years; to name only a few: Janos Neumann (also known as John von Neumann, Konrad Zuse, Norbert Wiener, Claude E. Shannon, Alan M. Turing, Grigore Moisil, Lofti A. Zadeh, Ronald R. Yager, Michio Sugeno, Solomon Marcus, or Lászlo A. Barabási. Introducing the study of AI is not merely useful because of its capability for solving difficult problems, but also because of its mathematical nature. It prepares us to understand the current world, enabling us to act on the challenges of the future.
van Kerkhove, Bart
Philosophy of mathematics today has transformed into a very complex network of diverse ideas, viewpoints, and theories. Sometimes the emphasis is on the ""classical"" foundational work (often connected with the use of formal logical methods), sometimes on the sociological dimension of the mathematical research community and the ""products"" it produces, then again on the education of future mathematicians and the problem of how knowledge is or should be transmitted from one generation to the next. The editors of this book felt the urge, first of all, to bring together the widest variety of aut
Effective procedures for mathematical tasks in many fields: resolving linear independence, finding null spaces and factors of matrices; differentiating vectors and matrices by chain rule, many more. Techniques illustrated in examples. 1,300 problems. 1978 edition.
Full Text Available On the grounds of our work as researchers, teacher educators and teachers engaging with a socio-political approach in mathematics education in Colombia, we propose to understand democracy in terms of the possibility of constructing a social subjectivity for the dignity of being. We address the dilemma of how the historical insertion of school mathematics in relation to the Colonial project of assimilation of Latin American indigenous peoples into the episteme of the Enlightenment and Modernity is in conflict with the possibility of the promotion of a social subjectivity in mathematics classrooms. We illustrate a pedagogical possibility to move towards a mathematics education for social subjectivity with our work in reassembling the notion of geometrical space in the Colombian secondary school mathematics curriculum with notions of space from critical geography and the problem of territorialisation, and Latin American epistemology with the notion of intimate space as an important element of social subjectivity.
Flores, Margaret M.; Thornton, Jennifer; Franklin, Toni M.; Hinton, Vanessa M.; Strozier, Shaunita
The purpose of this study was to extend the literature regarding elementary teachers' beliefs about mathematics instruction to include special education teachers by surveying special education and general education teachers' mathematics teaching efficacy. In addition, the researchers' surveyed teachers' mathematics skills. The participants (n =…
Jankvist, U. T.; Kjeldsen, T. H.
. The first scenario occurs when history is used as a ‘tool’ for the learning and teaching of mathematics, the second when history of mathematics as a ‘goal’ is pursued as an integral part of mathematics education. We introduce a multiple-perspective approach to history, and suggest that research on history......The paper addresses the apparent lack of impact of ‘history in mathematics education’ in mathematics education research in general, and proposes new avenues for research. We identify two general scenarios of integrating history in mathematics education that each gives rise to different problems...... in mathematics education follows one of two different avenues in dealing with these scenarios. The first is to focus on students’ development of mathematical competencies when history is used a tool for the learning of curriculum-dictated mathematical in-issues. A framework for this is described. Secondly, when...
Chang, Mido; Evans, Michael A.; Kim, Sunha; Norton, Anderson; Deater-Deckard, Kirby; Samur, Yavuz
In an effort to maximizing success in mathematics, our research team implemented an educational video game in fifth grade mathematics classrooms in five schools in the Eastern US. The educational game was developed by our multi-disciplinary research team to achieve a hypothetical learning trajectory of mathematical thinking of 5th grade students.…
Doruk, Bekir Kursat
Values education is crucial since it is one of the factors to reach success in education in broader sense and in mathematics education in particular sense. It is also important for educating next generations of societies. However, previous research showed that expected importance for values education was not given in Mathematics courses. In a few…
This Research Commentary addresses the need for standards for describing mathematics professional development in mathematics education research reports. Considering that mathematics professional development is an emerging research field, it is timely to set expectations for what constitutes high-quality reporting in this field. (Contains 2 tables.)
An Invitation to Critical Mathematics Education deals with a range of crucial topics. Among these are students’ foreground, landscapes of investigation, and mathematics in action. The book is intended for a broad audience: educators, students, teachers, policy makers, anybody interested...... in the further development of mathematics education. The book discusses concerns and preoccupation. This way it provides an invitation into critical mathematics education....
Sriraman, Bharath; English, Lyn D.
Implications and suggestions for using combinatorial mathematics in the classroom through a survey and synthesis of numerous research studies are presented. The implications revolve around five major themes that emerge from analysis of these studies.
Erbas, Ayhan Kürsat; Kertil, Mahmut; Çetinkaya, Bülent; Çakiroglu, Erdinç; Alacaci, Cengiz; Bas, Sinem
Mathematical modeling and its role in mathematics education have been receiving increasing attention in Turkey, as in many other countries. The growing body of literature on this topic reveals a variety of approaches to mathematical modeling and related concepts, along with differing perspectives on the use of mathematical modeling in teaching and…
Skott, Charlotte Krog; Østergaard, Camilla Hellsten
Bridging theory and practice is a general challenge in mathematics teacher education. Research shows that Lesson Study (LS) is an effective way for prospective mathematics teachers to build relations between course work and field experiences......Bridging theory and practice is a general challenge in mathematics teacher education. Research shows that Lesson Study (LS) is an effective way for prospective mathematics teachers to build relations between course work and field experiences...
Theory-practice Dichotomy in Mathematics Teacher Education: An Analysis of Practicum ... Zimbabwe Journal of Educational Research ... practices in primary teacher education continue to create dichotomous gaps in this relationship.
Arslan, Hasan; Çanli, Murat; Sabo, Helena Maria
Recent studies in math education focus on differences between behaviors and performances of male and female students. In this study, achievement and attitudes of middle school students to math were described in terms of gender and grade differences. The aim of this study is to determine whether any differences exist between female and male…
Kertil, Mahmut; Gurel, Cem
The purpose of this study is making a theoretical discussion on the relationship between mathematical modeling and integrated STEM education. First of all, STEM education perspective and the construct of mathematical modeling in mathematics education is introduced. A review of literature is provided on how mathematical modeling literature may…
Uhden, Olaf; Karam, Ricardo; Pietrocola, Maurício; Pospiech, Gesche
Many findings from research as well as reports from teachers describe students' problem solving strategies as manipulation of formulas by rote. The resulting dissatisfaction with quantitative physical textbook problems seems to influence the attitude towards the role of mathematics in physics education in general. Mathematics is often seen as a tool for calculation which hinders a conceptual understanding of physical principles. However, the role of mathematics cannot be reduced to this technical aspect. Hence, instead of putting mathematics away we delve into the nature of physical science to reveal the strong conceptual relationship between mathematics and physics. Moreover, we suggest that, for both prospective teaching and further research, a focus on deeply exploring such interdependency can significantly improve the understanding of physics. To provide a suitable basis, we develop a new model which can be used for analysing different levels of mathematical reasoning within physics. It is also a guideline for shifting the attention from technical to structural mathematical skills while teaching physics. We demonstrate its applicability for analysing physical-mathematical reasoning processes with an example.
Çetin, Ömer Faruk
Democracy is a most accepted form of government system and has a great importance for citizens by allowing them equal and active participation in common life. As its development and characteristics are important for all citizens of a country, each democratic country puts much emphasis on democracy education in its educational curricula. In recent…
Ciftci, S. Koza; Karadag, Engin
The aim of this study was to evaluate students' perceptions of the quality of mathematics education and to develop a reliable and valid measurement tool. The research was conducted with 638 (first study) and 407 (second study) secondary school students in Eskisehir, Turkey. Item discrimination, structural validity (exploratory factor analysis and…
Ryve, Andreas; Nilsson, Per; Mason, John
Teacher educators' processes of establishing "mathematics for teaching" in teacher education programs have been recognized as an important area for further research. In this study, we examine how two teacher educators establish and make explicit features of mathematics for teaching within classroom interactions. The study shows how the…
Jayarajah, Kamaleswaran; Saat, Rohaida Mohd; Rauf, Rose Amnah Abdul
The purpose of this study is to explore the research base of STEM education in Malaysia through an analysis review of articles for a 14-year period, from 1999 to 2013. The research base review focuses on identifying four characteristics of STEM education: a) temporal distribution, b) the research areas involved in each discipline, c) the types of…
In 2008, the research center "Individual Development and Adaptive Education" was constituted by the Goethe University, the German Institute for International Educational Research, and the Sigmund Freud Institute, all located in Frankfurt am Main, Germany (http://www.idea-frankfurt.eu). The research of the center focuses on the…
Valero, Paola; García, Gloria; Camelo, Francisco
On the grounds of our work as researchers, teacher educators and teachers engaging with a socio-political approach in mathematics education in Colombia, we propose to understand democracy in terms of the possibility of constructing a social subjectivity for the dignity of being. We address the di...... of territorialisation, and Latin American epistemology with the notion of intimate space as an important element of social subjectivity....
Winsløw, Carl; Barquero, Berta; De Vleeschouwer, Martine
University mathematics education (UME) is considered, in this paper, as a kind of didactic practice – characterised by institutional settings and by the purpose of inducting students into mathematical practices. We present a research programme – the anthropological theory of the didactic (ATD......) – in which this rough definition can be made much more precise; we also outline some cases of ATD-based research on UME. Three cases are presented in more detail. The first is a theoretical and empirical study of the topic of dual vector spaces, as it appears in undergraduate courses on linear algebra...... for engineering students....
Simon, Martin A.
Currently, there are more theories of learning in use in mathematics education research than ever before (Lerman & Tsatsaroni, 2004). Although this is a positive sign for the field, it also has brought with it a set of challenges. In this article, I identify some of these challenges and consider how mathematics education researchers might think…
The use of computer technology for teaching and learning of mathematics has several consequences and does sometimes give rise to both controversies and misunderstandings. We address these problems by both a philosophical and a historical approach, investigating what it actually is that goes on when...... guidelines and conclusions regarding the use of computer technology in mathematics education....... new technologies enter mathematics as a discipline and mathematics education as a societal practice. Our analysis suggests a focus on continuities in time and place in the sense that it is necessary to understand the history of “tool use” in mathematics and the various ways that scholastic and non...
This text, occasioned by a critical reading of Tony Brown's new book "Mathematics Education and Subjectivity," aims at contributing to the building of a sociopolitical approach to mathematics education based on Lacanian psychoanalysis and Slavoj Žižek's philosophy. Brown has been bringing into the field of mathematics education the work…
Bishop, Alan; Keitel, Christine; Kilpatrick, Jeremy; Leung, Frederick
This entirely new Third International Handbook of Mathematics Education comprises 31 chapters which have been written by a total of 84 different authors representing 26 nations, each a recognized expert in the field. Comprised of four sections: Social, Political and Cultural Dimensions in Mathematics Education; Mathematics Education as a Field of Study; Technology in the Mathematics Curriculum; and International Perspectives on Mathematics Education, this Third Handbook offers essential reading for all persons interested in the future of mathematics education. The authors present challenging international perspectives on the history of mathematics education, current issues, and future directions. What makes this Handbook unique is its structure. Each section covers past, present and future aspects of mathematics education. The first chapter in each section identifies and analyzes historical antecedents The “middle” chapters draw attention to present-day key issues and themes The final chapter in ...
Answers to questions which were asked after the author's various lectures in Australia are gathered here. Topics touched upon include "new" mathematics, unknown constants and free variables, propositional functions, linear algebra, arithmetic and geometry, and student assessment. (MN)
Lutovac, Sonja; Kaasila, Raimo
Mathematics education research has placed great emphasis on teacher identity, examining both pre- and in-service teachers, and within these cohorts, specialised mathematics teachers and non-specialists such as elementary teachers. Extensive research has already been done; hence, this paper discusses possible future directions for research on…
Misu, La; Ketut Budayasa, I.; Lukito, Agung
This study describes the metacognition profile of mathematics and mathematics education students in understanding the concept of integral calculus. The metacognition profile is a natural and intact description of a person’s cognition that involves his own thinking in terms of using his knowledge, planning and monitoring his thinking process, and evaluating his thinking results when understanding a concept. The purpose of this study was to produce the metacognition profile of mathematics and mathematics education students in understanding the concept of integral calculus. This research method is explorative method with the qualitative approach. The subjects of this study are mathematics and mathematics education students who have studied integral calculus. The results of this study are as follows: (1) the summarizing category, the mathematics and mathematics education students can use metacognition knowledge and metacognition skills in understanding the concept of indefinite integrals. While the definite integrals, only mathematics education students use metacognition skills; and (2) the explaining category, mathematics students can use knowledge and metacognition skills in understanding the concept of indefinite integrals, while the definite integrals only use metacognition skills. In addition, mathematics education students can use knowledge and metacognition skills in understanding the concept of both indefinite and definite integrals.
The Zimbabwe Journal of Educational Research comprised of four sections: Scholarly articles ... A Requiem Too Soon or a Landing Strand Too Far? ... Mathematics (STEM) Education in Zimbabwe Secondary Schools: Access, Quality, Policy ...
Singapore's Education System has evolved over time and so has Mathematics Education in Singapore. The present day School Mathematics Curricula can best be described as one that caters for the needs of every child in school. It is based on a framework that has mathematical problem solving as its primary focus. The developments from 1946 to 2012 that have shaped the present School Mathematics Curricula in Singapore are direct consequences of developments in the Education System of Singapore dur...
Permuth, Steve; Dalzell, Nicole
The advancement of modern societies is fueled by mathematics, and mathematics education provides the foundation upon which future scientists and engineers will build. Society dictates how mathematics will be taught through the development and implementation of mathematics standards. When examining the progression of these standards, it is…
Full Text Available Neste artigo, vamos considerar a questão da relação entre pesquisa em educação matemática e transformação social. Num primeiro momento, argumentaremos em favor do ponto de vista de que a mentalidade bélica teria constituído o principal fator que teria levado ao surgimento histórico do matemático profissional e do professor de matemática, bem como ao surgimento da matemática e da educação matemática como práticas sociais autônomas de pesquisa. Em seguida, com base no aforismo estético de Whitehead de que a função da razão é promover a arte da vida, argumentaremos em favor da necessidade de se combater essa mentalidade bélica através do desenvolvimento de uma educação ético-política baseada em usos sociais da matemática, no passado e no presente, que nunca são neutros em relação a essa ética. Palavras-chave: Pesquisa em Educação Matemática. Mentalidade Bélica. Educação Ético-Política.In this paper, we are going to consider the question about the relationship between research in mathematics education and social change. First, we make the argument that a militaristic mentality constituted the main factor that led to the historical rise of mathematicians and mathematics teachers, as well as mathematics and mathematics education as autonomous social practices of research. Next, based on Whitehead’s aesthetic aphorism, stating that the function of reason is to promote the art of life, we will assert the need to counter this militaristic mentality by developing an ethical-political education based on current or past social uses of mathematics, which are never neutral in relation to these ethics. Key-words: Mathematics Education Research; Militaristic Mentality; Ethical-Political Education.
Lesh, Richard A; Baek, John Y
This Handbook presents the latest thinking and current examples of design research in education. Design-based research involves introducing innovations into real-world practices (as opposed to constrained laboratory contexts) and examining the impact of those designs on the learning process. Designed prototype applications (e.g., instructional methods, software or materials) and the research findings are then cycled back into the next iteration of the design innovation in order to build evidence of the particular theories being researched, and to positively impact practice and the diffusion of the innovation. The Handbook of Design Research Methods in Education-- the defining book for the field -- fills a need in how to conduct design research by those doing so right now. The chapters represent a broad array of interpretations and examples of how today's design researchers conceptualize this emergent methodology across areas as diverse as educational leadership, diffusion of innovations, complexity theory, an...
Based on an analysis of mathematics education research as an academic field and on current social, political and economic transformations in many European countries, I would argue for the need to rethink and enlarge definitions and views of mathematics education as a scientific field of study in ...
Stripling, Christopher T.; Roberts, T. Grady
The purpose of this study was to examine the mathematics ability of the nation's preservice agricultural education teachers. Based on the results of this study, preservice teachers were not proficient in solving agricultural mathematics problems, and agricultural teacher education programs require basic and intermediate mathematics as their…
Ferrucci, Beverly J.; Evans, Richard C.
Reports on the mathematics teacher preparation program at Simferopol State University, the largest institution of higher education in the Crimea. The article notes the value of investigating what other countries consider essential in mathematics teacher education to improve the mathematical competence of students in the United States. (SM)
Mathematics is a subject found in every school Curriculum in almost every country. Here in Ghana, mathematics is a compulsory subject in both the basic education (i.e. primary and junior secondary) and senior secondary curricula. This paper argues that in spite of the desire of mathematics educators in Ghana to pursue a ...
Toney, Allison F.
While only about one-third of each year's doctoral graduates in mathematics are women, about two-thirds of the doctoral graduates in mathematics education are women. This article reports on the results of a qualitative investigation into the nature of the graduate school-related experiences of women in collegiate mathematics education doctoral…
Valero, Paola; Meaney, Tamsin
We introduce the topic of socioeconomic influences on mathematical achievement through an overview of existing research reports and articles. International trends in the way the topic has emerged and become increasingly important in the international field of mathematics education research are ou...
Blomhøj, Morten; Artigue, Michéle
of inquiry as a pedagogical concept in the work of Dewey (e.g. 1916, 1938) to analyse and discuss its migration to science and mathematics education. For conceptualizing inquiry-based mathematics education (IBME) it is important to analyse how this concept resonates with already well-established theoretical...... frameworks in mathematics education. Six such frameworks are analysed from the perspective of inquiry: the problem-solving tradition, the Theory of Didactical Situations, the Realistic Mathematics Education programme, the mathematical modelling perspective, the Anthropological Theory of Didactics...
De Smedt, Bert; Ansari, Daniel; Grabner, Roland H.; Hannula, Minna M.; Schneider, Michael; Verschaffel, Lieven
While there has been much theoretical debate concerning the relationship between neuroscience and education, researchers have started to collaborate across both disciplines, giving rise to the interdisciplinary research field of neuroscience and education. The present contribution tries to reflect on the challenges of this new field of empirical…
Misfeldt, Morten; Johansen, Mikkel Willum
Developing abilities to create, inquire into, qualify, and choose among mathematical problems is an important educational goal. In this paper, we elucidate how mathematicians work with mathematical problems in order to understand this mathematical process. More specifically, we investigate how mathematicians select and pose problems and discuss to…
Hirsch, Christian R., Ed.; McDuffie, Amy Roth, Ed.
Mathematical modeling plays an increasingly important role both in real-life applications--in engineering, business, the social sciences, climate study, advanced design, and more--and within mathematics education itself. This 2016 volume of "Annual Perspectives in Mathematics Education" ("APME") focuses on this key topic from a…
The notion of `opportunities to learn in mathematics education' is open to interpretation from multiple theoretical perspectives, where the focus may be on cognitive, social or affective dimensions of learning, curriculum and assessment design, issues of equity and access, or the broad policy and political contexts of learning and teaching. In this paper, I conceptualise opportunities to learn from a sociocultural perspective. Beginning with my own research on the learning of students and teachers of mathematics, I sketch out two theoretical frameworks for understanding this learning. One framework extends Valsiner's zone theory of child development, and the other draws on Wenger's ideas about communities of practice. My aim is then to suggest how these two frameworks might help us understand the learning of others who have an interest in mathematics education, such as mathematics teacher educator-researchers and mathematicians. In doing so, I attempt to move towards a synthesis of ideas to inform mathematics education research and development.
Chapters in this book recognize the more than forty years of sustained and distinguished lifetime achievement in mathematics education research and development of Jeremy Kilpatrick. Including contributions from a variety of skilled mathematics educators, this text honors Jeremy Kilpatrick, reflecting on his groundbreaking papers, book chapters, and books - many of which are now standard references in the literature - on mathematical problem solving, the history of mathematics education, mathematical ability and proficiency, curriculum change and its history, global perspectives on mathematics education, and mathematics assessment. Many chapters also offer substantial contributions of their own on important themes, including mathematical problem solving, mathematics curriculum, the role of theory in mathematics education, the democratization of mathematics, and international perspectives on the professional field of mathematics education..
Full Text Available Mathematics education and its links to democracy and development are explored in this article, with specific reference to the case of South Africa. This is done by engaging four key questions. Firstly, the question of whether mathematics education can be a preparation for democracy and include a concern for development, is discussed by drawing on conceptual tools of critical mathematics education and allied areas in a development context. Secondly, the question of how mathematics education is distributed in society and participates in shaping educational possibilities in addressing its development needs and goals is used to examine the issues emerging from mathematics performance in international studies and the national Grade 12 examination; the latter is explored specifically in respect of the South African mathematics curriculum reforms and teacher education challenges. Thirdly, the question of whether a mathematics classroom can be a space for democratic living and learning that equally recognises the importance of issues of development in contexts like South Africa, as a post-conflict society still healing from its apartheid wounds, continuing inequality and poverty, is explored through pedagogies of conflict, dialogue and forgiveness. Finally the question of whether democracy and development can have anything to do with mathematics content matters, is discussed by appropriating, as a metaphor, South Africa’s Truth and Reconciliation Commission’s framework of multiple ‘truths’, to seek links within and across the various forms and movements in mathematics and mathematics education that have emerged in the past few decades.
McGatha, Maggie B.
This paper provides a historical overview of the role and impact of elementary mathematics specialists as well as current implications and opportunities for the field. Furthermore, suggestions are offered for the mathematics education field for ensuring the intersection of practice and research. [For complete proceedings, see ED581294.
Discusses the impact that the relationship between people and mathematics could have on the development of pure and applied mathematics. Argues for (1) a growing interest in philosophy, history and sociology of science; (2) new models in educational and psychological research; and (3) a growing awareness of the human factor in technology,…
This research aims to determine the leveling of critical thinking abilities of students of mathematics education in mathematical problem solving. It includes qualitative-explorative study that was conducted at University of PGRI Semarang. The generated data in the form of information obtained problem solving question and interview guides. The…
Lagowski, J. J.
Since 1991, the National Science Foundation has signed cooperative agreements with 26 states to undertake ambitious and comprehensive initiatives to reform science, mathematics, and technology education. Collectively, those agreements are known as the State Systemic Initiatives (SSI's). Two complimentary programs, The Urban and Rural Systemic Initiatives (USI's and RSI's), address similar reforms in the nation's largest cities and poorest rural areas. The SSI Program departs significantly from past NSF practice in several ways. The funding is for a longer term and is larger in amount, and the NSF is taking a more activist role, seeking to leverage state and private funds and promote the coordination of programs within states. The Initiatives also have a stronger policy orientation than previous NSF programs have had. The NSF strategy is a reflection of the growing and widely held view that meaningful reforms in schools are most likely to be achieved through state initiatives that set clear and ambitious learning goals and standards; align all of the available policy levers in support of reform; stimulate school-level initiatives; and mobilize human and financial resources to support these changes. Two premises underlie systemic reform: (1) all children can meet significantly higher standards if they are asked to do so and given adequate opportunities to master the content, and (2) state and local policy changes can create opportunities by giving schools strong and consistent signals about the changes in practice and performance that are expected. Because this is an enormous investment of Federal resources that is intended to bring about deep, systemic improvement in the nation's ability to teach science and mathematics effectively, the NSF has contracted with a consortium of independent evaluators to conduct a review of the program. The first of the SSI's were funded in 1991, sufficiently long ago to begin to formulate some initial impressions of their impact. Take
This article explores research issues and methods of textbook research. Drawing on literatures and the author’s own work in the area of mathematics textbook research, it conceptualizes textbooks as an intermediate variable in the context of education and hence defines textbook research as disciplined inquiry into issues about textbooks and the relationships between textbooks and other factors in education. Furthermore, it argues that to further advance the field of textbook research, research...
Skovsmose, Ole; Valero, Paola; Christensen, Ole Ravn
configuration poses to scientific knowledge, to universities and especially to education in mathematics and science. Traditionally, educational studies in mathematics and science education have looked at change in education from within the scientific disciplines and in the closed context of the classroom....... Although educational change is ultimately implemented in everyday teaching and learning situations, other parallel dimensions influencing these situations cannot be forgotten. An understanding of the actual potentialities and limitations of educational transformations are highly dependent on the network...... of educational, cultural, administrative and ideological views and practices that permeate and constitute science and mathematics education in universities today. University Science and Mathematics Education in Transition contributes to an understanding of the multiple aspects and dimensions of the transition...
Full Text Available Institutions of higher education, both public and private, are among the most important institutions of a country. Several economic factors have forced them to act for improving the cost-effectiveness of their activities and the quality of their products (outputs is strongly expected. Such issues have led universities to focus on profit-making activities and commercialization like manufacturing industries. This propensity is grounded in the fact that manufacturing industries working under an efficient management system can produce very high-quality products. As a matter of fact, there is no such a model for academic contexts. Therefore, this paper is aimed at offering such a model. The coefficients and constants used in this model have all been extracted based on analyzing research and educational aspects of Shahed University. The proposed model is a lexicographic model which has thirty six decision variables that are broken down into two classes of university sources variables (fifteen and university products variables. The model also includes forty nine goals, seven structural constraints and twenty integer variables. At the end of the paper, the current situation is compared with the recommended one and it shows that many of the variables are suboptimal except variables of research and educational officials (S9, graduate (P7 and PhD (P9 night course students number. The comprehensiveness of this model enables managers to plan the smallest research and educational activities and the solutions can be used by managers as applied guidelines.
When studying mathematics, most pupils and students need mathematical tools, along with the teachers' explanation. The updated curriculum for mathematics in primary and secondary education also recommends using materials connected to information and communication technology. Although e-learning materials are not directly mentioned in a curricula as a tool for learning mathematics, they should, nevertheless, be considered as a tool which can be used in a class with the help of a teacher or ind...
Winbourne, Peter; Winbourne, Peter
This book draws together a range of papers by experienced writers in mathematics education who have used the concept of situated cognition in their research within recent years. Thus it provides an up-to-date overview of developments and applications to which other researchers can refer and which will inspire future research. It is appropriate to review the field now and collect a range of papers which all relate to situated cognition and show how its application to mathematics education has matured and become usefully embedded in our approach to central issues about learning mathematics.
Ye. A. Perminov
Full Text Available Introduction. Today, in the era of a mathematization of science and total expansion of digital technologies, mass mathematical education becomes a necessary part of culture of every person. However, there are some serious obstacles to formation and development of general mathematical culture: insufficient understanding of its importance by society and the state; fragmentary-clipconsciousness, emerging among representatives of the younger generation under the influence of the Internet, and preventing formation of a complete picture of the modern world; traditional system of disjointed subjects and courses in school, secondary vocational and high school mathematics education; non-cognitive (automatic transferring of the approaches, principles, technologies and techniques into training which are not specific in order to master a course. Development of sociological, axiological and especially culturological aspects of mathematical methodology is required for the solution of the urgent problems of methodology in mathematical education.The aim of the publication is to discuss methodological aspects of culturological approach realization in mathematical education.Methodology and research methods. The theoretical scientific methods of the present article involve analysis and synthesis of the content of philosophical, mathematical, pedagogical, methodological literature and normative documents; comparative, culturological and logical types of analysis of mathematical education; systematic, competence-based, practice-oriented and personal-activity metho-dological approaches were used to understand the concept of mathematical education.Results and scientific novelty. The practicability and leading role of culturological approach to promoting mathematical knowledge is proved from historical, philosophical and pedagogical positions. It is stated that objective conceptualization of progressive ideas and new methods of mathematical science and mathematical
Puncreobutr, Vichian; Rattanatumma, Tawachai
The objective of this study was to identify the reasons for shortage of Mathematics teachers at Thai Basic Education level. This research is both quantitative and qualitative in nature. For the purpose of study, survey was conducted with senior high school students, in order to find out their willingness to pursue mathematics in Bachelor of…
Dreyøe, Jonas; Larsen, Dorte Moeskær; Hjelmborg, Mette Dreier
From a grading list of 28 of the highest ranked mathematics education journals, the six highest ranked journals were chosen, and a systematic search for inquiry-based mathematics education and related keywords was conducted. This led to five important theme/issues for inquiry-based learning...
Lindenskov, Lena; Gervasoni, Ann
The issues of equity and quality have been central to international debates on mathematics in research, policy, curriculum and teaching. This book covers a wide variety of topics in the research and practice of mathematics education, demonstrating how equity and quality are inherently political...... equity and quality within various educational contexts and with a variety of marginalized populations. Written by teachers, researchers and academics from all over the world, this book represents a powerful response to the international call for quality education of all students in mathematics around...... terms whose political bedrock is obscured by them being taken for granted. Mapping Equity and Quality in Mathematics Education is broken into four parts. Section 1 addresses the constructs of equity and quality from a variety of theoretical perspectives and outlines new directions to approach...
Makinae , Naomichi
International audience; It can be said that mathematics education in Japan was started in 1872 when the school system was established. Since that establishment era, controversies have emerged time and again in mathematics education in Japan. Through these controversies, debates have been held on views on mathematics education such as how mathematics ought to be taught and what constitutes knowledge concerning numbers, quantities, and shapes that is desirable for students to acquire. In this ...
Hoffmann, Michael HG; Seeger, Falk
The advancement of a scientific discipline depends not only on the ""big heroes"" of a discipline, but also on a community's ability to reflect on what has been done in the past and what should be done in the future. This volume combines perspectives on both. It celebrates the merits of Michael Otte as one of the most important founding fathers of mathematics education by bringing together all the new and fascinating perspectives created through his career as a bridge builder in the field of interdisciplinary research and cooperation. The perspectives elaborated here are for the greatest part
African Journal of Educational Studies in Mathematics and Sciences. ... Studies in Mathematics and Sciences (AJESMS) is an international publication that ... in the fields of mathematics education, science education and related disciplines.
Nenden Octavarulia Shanty
Full Text Available This study aimed at investigating the progress of students’ learning onmultiplication fractions with natural numbers through the five activitylevels based on Realistic Mathematics Education (RME approachproposed by Streefland. Design research was chosen to achieve thisresearch goal. In design research, the Hypothetical Learning Trajectory(HLT plays important role as a design and research instrument. ThisHLT tested to thirty-seven students of grade five primary school (i.e.SDN 179 Palembang.The result of the classroom practices showed that measurement (lengthactivity could stimulate students’ to produce fractions as the first levelin learning multiplication of fractions with natural numbers.Furthermore, strategies and tools used by the students in partitioninggradually be developed into a more formal mathematics in whichnumber line be used as the model of measuring situation and the modelfor more formal reasoning. The number line then could bring thestudents to the last activity level, namely on the way to rules formultiplying fractions with natural numbers. Based on this findings, it is suggested that Streefland’s five activity levels can be used as aguideline in learning multiplication of fractions with natural numbers in which the learning process become a more progressive learning.
Parra, Aldo; Trinick, Tony
An investigation into an aspect of indigenous education provides the opportunity to forefront an epistemological discussion about mathematical knowledge. This paper analyses indigenous peoples' educational experiences in Colombia and Aotearoa/New Zealand of mathematics education, focusing on, among other things, sociolinguistic issues such as language planning. In these experiences, researchers, teachers and local communities, working together, elaborated their respective languages to create a corpus of lexicon that has enabled the teaching of Western mathematics. An analysis using decolonial theory is made, showing how this corpus development works to enable the teaching of [Western] mathematics resulted in investigations into culture, language and mathematics that revealed an interplay among knowledge and power. Such analysis raises issues about the epistemology of mathematics and the politics of knowledge, analogous with current discussions on multilingualism in mathematics education and in ethnomathematics. The paper concludes that mathematics educators can explore and take advantage of the sociolinguistic and epistemological issues that arise when an indigenous language is elaborated in a short period of time in comparison to other languages which have been developed incrementally over hundreds of years and thus much more difficult to critique.
Key words: Parents; mathematics education; perception; school climate; .... elementary school children, established that parents with higher college degrees ..... International Journal of Mathematical Education in Science and Technology,.
V. A. Testov
Full Text Available The paper discusses basic implementation aspects of the Mathematical Education Development Concept, adopted by the Russian Government in 2013. According to the above document, the main problems of mathematical education include: low motivation of secondary and higher school students for studying the discipline, resulted from underestimation of mathematical knowledge; and outdated educational content, overloaded by technical elements. In the author’s opinion, a number of important new mathematical fields, developed over the last years, - the graph theory, discrete mathematics, encoding theory, fractal geometry, etc – have a large methodological and applied educational potential. However, these new subdisciplines have very little representation both in the secondary and higher school mathematical curricula. As a solution for overcoming the gap between the latest scientific achievements and pedagogical practices, the author recommends integration of the above mentioned mathematical disciplines in educational curricula instead of some outdated technical issues. In conclusion, the paper emphasizes the need for qualified mathematical teachers’ training for solving the problems of students’ motivation development and content updates.
Socio-political studies in mathematics education often touch complex fields of interaction between education, mathematics and the political. In this paper I present a Foucault-based framework for socio-political studies in mathematics education which may guide research in that area. In order to show the potential of such a framework, I discuss the…
Stemn, Blidi S.
In some African cultures, the concept of division does not necessarily mean sharing money or an item equally. How an item is shared might depend on the ages of the individuals involved. This article describes the use of the Realistic Mathematics Education (RME) approach to teach division word problems involving money in a 3rd-grade class in…
Tooke, D. James
Discusses the connection between mathematics and the computer; mathematics curriculum; mathematics instruction, including teachers learning to use computers; and the impact of the computer on learning mathematics. (LRW)
In this article, we provide some useful perspectives and experiences in mentoring students in undergraduate research (UR) in mathematical modeling using differential equations. To engage students in this topic, we present a systematic approach to the creation of rich problems from real-world phenomena; present mathematical models that are derived…
Kadijević Đorđe M.
Full Text Available Apart from the data on test reliability, the psychometric features of the TIMSS variables are not officially available. It is therefore not clear whether the TIMSS findings capture real educational trends. Being concerned with mathematics attitude, the aim of this research was to determine the psychometric values of a mathematics attitude scale derived from a student questionnaire, and, if these are appropriate, to examine the relation of mathematics attitude to gender and mathematics achievement, and search for gender differences in the applied mathematics attitude indicators. By using a sample of 89 seventh-grade students involved in a TIMSS 2003 pilot research, it revealed the following findings: (a the representativity reliability, homogeneity and validity of the applied attitude scale were acceptable, (b attitude to mathematics was related to mathematics achievement, (c gender differences in mathematics attitude were not found and (d gender differences in the applied indicators were only present for the statement "I need to do well in mathematics to get into the faculty of my choice" where males expressed a higher agreement than females.
ICT Integration Level of Mathematics Tutors of Colleges of Education in Ghana. ... International Journal of Pedagogy, Policy and ICT in Education ... The study used a developmental research design which is a disciplined inquiry conducted in the context of the development of a product or programme for the purpose of ...
Crompton, Helen; Burke, Diane
The use of mobile learning in education is growing at an exponential rate. To best understand how mobile learning is being used, it is crucial to gain a collective understanding of the research that has taken place. This research was a systematic review of 36 studies in mobile learning in mathematics from the year 2000 onward. Eight new findings…
Lindenskov, Lena; Gervasoni, Ann
insights and implications from research on the special needs of different "equity groups," illuminating the way in which a "one-size-fits-all" approach tends to limit quality education to only dominant groups. And Section 4 contains lessons learned by researchers and practitioners who attempted to manage......The issues of equity and quality have been central to international debates on mathematics in research, policy, curriculum and teaching. This book covers a wide variety of topics in the research and practice of mathematics education, demonstrating how equity and quality are inherently political...... terms whose political bedrock is obscured by them being taken for granted. Mapping Equity and Quality in Mathematics Education is broken into four parts. Section 1 addresses the constructs of equity and quality from a variety of theoretical perspectives and outlines new directions to approach...
Watts, Beverly Kinsey
Competent mathematical skills are needed in the workplace as well as in the college setting. Adults in Adult Basic Education classes and programs generally perform below high school level competency, but very few studies have been performed investigating the predictors of mathematical success for adults. The current study contributes to the…
Adeneye Olarewaju Awofala
Full Text Available The study investigated educational values of mathematics in relation to gender and attitudes toward mathematics among 480 Nigerian preservice mathematics teachers from four universities in Southwest, Nigeria using the quantitative research method within the blueprint of the descriptive survey design. Data collected were analysed using the descriptive statistics of frequency, percentage, mean, and standard deviation and inferential statistics of independent samples t-test, Pearson moment correlation, and multiple regression analysis. Findings revealed that preservice mathematics teachers showed high level of educational value of mathematics. There were significant possible correlations among preservice mathematics teachers’ practical value, aesthetic value, cultural value, social value, moral value, disciplinary value, recreational value, and attitudes toward mathematics. While gender differences in some dimensions of educational value of mathematics (practical value, disciplinary value, social value, and cultural value are no longer important and are declining there are subtle gender differences in attitudes toward mathematics and educational values of mathematics in this study. In addition, 73.7% of the variance in preservice teachers’ attitudes toward mathematics was accounted for by the eight predictor variables (gender, practical or utilitarian value, disciplinary value, cultural value, social value, moral value, aesthetic value and recreational value taken together. Based on this baseline study, it was thus, recommended that future studies in Nigeria should investigate the educational value of mathematics of in-service teachers with varied ethnicity and socio-economic background so as to generalise the results of this study.
Bills, Liz; Husbands, Chris
The issue of values has been a longstanding concern of mathematics education research. Attempts have been made to analyze the specifically mathematical values which characterize the practice of mathematics teachers. In this paper we draw on one teacher's articulation of her practice to explore values issues in the teaching of mathematics, drawing…
Yow, Jan A.; Eli, Jennifer A.; Beisiegel, Mary; McCloskey, Andrea; Welder, Rachael M.
Sixty-nine recently graduated doctoral students in mathematics education completed a survey to determine their perceptions of transitioning from a doctoral program into an academic position at an institution of higher education. Research literature for novice mathematics school teachers was also reviewed to document their experiences transitioning…
James, Sylvia M.; Singer, Susan R.
The National Science Foundation (NSF) has a long history of investment in broadening participation (BP) in science, technology, engineering, and mathematics (STEM) education. A review of past NSF BP efforts provides insights into how the portfolio of programs and activities has evolved and the broad array of innovative strategies that has been used to increase the participation of groups underrepresented in STEM, including women, minorities, and persons with disabilities. While many are familiar with these long-standing programmatic efforts, BP is also a key component of NSF’s strategic plans, has been highlighted in National Science Board reports, and is the focus of ongoing outreach efforts. The majority of familiar BP programs, such as the Louis Stokes Alliances for Minority Participation (now 25 years old), are housed in the Directorate for Education and Human Resources. However, fellowship programs such as the Graduate Research Fellowships and Postdoctoral Research Fellowships under the Directorate for Biological Sciences (and parallel directorates in other STEM disciplines) are frequently used to address underrepresentation in STEM disciplines. The FY2016 and FY2017 budget requests incorporate funding for NSF INCLUDES, a new cross-agency BP initiative that will build on prior successes while addressing national BP challenges. NSF INCLUDES invites the use of innovative approaches for taking evidence-based best practices to scale, ushering in a new era in NSF BP advancement. PMID:27587853
Full Text Available Since the late 1990s, Indonesian mathematics educators have considered Realistic Mathematics Education (RME, the Dutch approach to mathematics instruction, to be the basis for educational reform. In the National curriculum development, RME has, therefore, been reviewed as among the theoretical references to the curriculum goals and content. In the present study, an analysis of the consistency between RME and the curriculum descriptors and contents in Indonesia is presented. This is supplemented with some comparisons to that in the Netherlands. Findings in this study revealed that while most of RME principles are reflected in the Indonesian curriculum, the descriptions were often very general and less explicit compared to the Dutch curriculum. They were also limited by the content-based approach as well as by the centralized decision making process of the contents to be taught which have been pre-determined at the national level. This study suggests future research to see how the curriculum may influence teachers’ enactment of RME at classroom level.
Full Text Available This study is part of a broader research which will be found in future work, Psychology and epistemology of mathematical creation, complementary work of experimental research psychology mathematics, whose investigative approach, promoting the combination type cross section paradigms and quantitative methods and qualitative and comparative method and the analytic-synthetic, based on the following idea: to make learning as efficient, contents and methods must be appropriate to the individual particularities of the pupils, a measure of the balance between converging and diverging dosing tasks as a promising opening to the transition from education proficiency in math performance. At this juncture, mathematical existence as ontological approach against the background of a history of "abstraction" mathematical and theoretical observations on the abstraction, realization and other mathematical thought processes, explanatory approach fulfills the context in which s mathematics constituted an important factor in psychological and methodological perspective, in a context of maximizing the educational effectiveness that depends on the quality of the methods used in teaching, focused on knowledge of the general principles of psycho-didactics not only mathematical and mental organization individual student or knowledge of the factors that make possible psycho-educational learning process.
Bleiler, Sarah K.
Collaborations between mathematicians and mathematics teacher educators are increasingly being expected, and realized, within the context of mathematics teacher education. Most research related to collaborative efforts between members of the mathematics and mathematics education communities has focused on the products, rather than the process of…
Abakpa , Benjamin ,; Abah , Joshua ,; Okoh Agbo-Egwu , Abel
International audience; This study investigated the relationship between the science curiosity levels of undergraduate of mathematics education in a Nigerian higher educational institution and their academic grade point averages. The study employed a correlational survey research design on a random sample of 104 mathematics education students. The Science Curiosity Scale – Comparative Self Report was adapted to measure the students' distinctive appetite for consuming science-related media for...
James, Sylvia M; Singer, Susan R
The National Science Foundation (NSF) has a long history of investment in broadening participation (BP) in science, technology, engineering, and mathematics (STEM) education. A review of past NSF BP efforts provides insights into how the portfolio of programs and activities has evolved and the broad array of innovative strategies that has been used to increase the participation of groups underrepresented in STEM, including women, minorities, and persons with disabilities. While many are familiar with these long-standing programmatic efforts, BP is also a key component of NSF's strategic plans, has been highlighted in National Science Board reports, and is the focus of ongoing outreach efforts. The majority of familiar BP programs, such as the Louis Stokes Alliances for Minority Participation (now 25 years old), are housed in the Directorate for Education and Human Resources. However, fellowship programs such as the Graduate Research Fellowships and Postdoctoral Research Fellowships under the Directorate for Biological Sciences (and parallel directorates in other STEM disciplines) are frequently used to address underrepresentation in STEM disciplines. The FY2016 and FY2017 budget requests incorporate funding for NSF INCLUDES, a new cross-agency BP initiative that will build on prior successes while addressing national BP challenges. NSF INCLUDES invites the use of innovative approaches for taking evidence-based best practices to scale, ushering in a new era in NSF BP advancement. © 2016 S. M. James and S. R. Singer. CBE—Life Sciences Education © 2016 The American Society for Cell Biology. This article is distributed by The American Society for Cell Biology under license from the author(s). It is available to the public under an Attribution–Noncommercial–Share Alike 3.0 Unported Creative Commons License (http://creativecommons.org/licenses/by-nc-sa/3.0).
Mirror Symmetry I
This volume is an updated edition of ""Essays on Mirror Manifolds"", the first book of papers published after the phenomenon of mirror symmetry was discovered. The two major groups who made the discovery reported their papers here. Greene, Plesser, and Candelas gave details on their findings; Witten gave his interpretation which was vital for future development. Vafa introduced the concept of quantum cohomology. Several mathematicians, including Katz, Morrison, Wilson, Roan, Tian, Hubsch, Yau, and Borcea discussed current knowledge about Calabi-Yau manifolds. Ferrara and his coauthors addressed special geometry and $N=2$ supergravity. Rocek proposed possible mirrors for Calabi-Yau manifolds with torsion. This collection continues to be an important book on this spectacular achievement in algebraic geometry and mathematical physics.
By a politics of meaning I refer to the social, economic, cultural and religious conditions for experiencing meaning. I refer as well to the layers of visons, assumptions, presumptions and preconceptions that might construct something as being meaningful. By addressing different politics of meani...... of such factors. Politics of meaning can be analysed with reference to sexism, racism, instrumentalism, the school mathematics tradition, critical mathematics education, and the banality of expertise....
Sirinides, Philip; Supovitz, Jonathan; Tognatta, Namrata; May, Henry
Beginning in 2005, the GE Foundation initiated a commitment of expertise and financial resources to a set of urban school districts to improve public education and enhance student achievement in mathematics and science. This report analyzes the impacts of the GE Foundation commitment to the partner districts by examining trends in student…
Mahendra, R.; Slamet, I.; Budiyono
One of the difficulties of students in the learning of geometry is on the subject of plane that requires students to understand the abstract matter. The aim of this research is to determine the effect of Problem Posing learning model with Realistic Mathematics Education Approach in geometry learning. This quasi experimental research was conducted in one of the junior high schools in Karanganyar, Indonesia. The sample was taken using stratified cluster random sampling technique. The results of this research indicate that the model of Problem Posing learning with Realistic Mathematics Education Approach can improve students’ conceptual understanding significantly in geometry learning especially on plane topics. It is because students on the application of Problem Posing with Realistic Mathematics Education Approach are become to be active in constructing their knowledge, proposing, and problem solving in realistic, so it easier for students to understand concepts and solve the problems. Therefore, the model of Problem Posing learning with Realistic Mathematics Education Approach is appropriately applied in mathematics learning especially on geometry material. Furthermore, the impact can improve student achievement.
Krummheuer, Götz; Leuzinger-Bohleber, Marianne; Müller-Kirchof, Marion; Münz, Melanie; Vogel, Rose
First results of the project "Mathematical Creativity of Children at Risk" (MaKreKi) will be presented. The project is conducted in the interdisciplinary research center "Individual Development and Adaptive Education of Children at Risk" (IDeA [http://www.idea-frankfurt.eu; accessed 7 June 2013]). Combining a…
Full Text Available In view of scientific and technological advancements, enthusiasm and need of the people for learning and the phenomenon of urban sprawl in many countries, especially advanced and industrial countries, distance education system has been used for many years as a method of teaching people in different locations and in different times without the student's needing to attend a class. Since it has been only a few years that this type of education has been used in the education system of the vast country of Iran and in view of special structure of mathematics and the importance and sensitiveness of its education, the present study was made to assess the success of students in this system of mathematics education. The statistical population of this research consists of 95 boy students from high schools of Tehran who were chosen by quasi-cluster method. 35 students in distance education system were chosen as experiment group and 60 students in traditional education system were chosen as control group. Using quasi-standard harmonious mathematics test and according to the results of descriptive statistics, Levene tests and independent samples test, this method of mathematics education was not found efficient for high school students of Tehran.
Jankvist, Uffe Thomas
on the observation that a use of history, applications, and philosophy as a 'goal' is best realized through a modules approach, the article goes on to discuss how to actually design such teaching modules. It is argued that a use of primary original sources through a so-called guided reading along with a use......The article first investigates the basis for designing teaching activities dealing with aspects of history, applications, and philosophy of mathematics in unison by discussing and analyzing the different 'whys' and 'hows' of including these three dimensions in mathematics education. Based...... of student essay assignments, which are suitable for bringing out relevant meta-issues of mathematics, is a sensible way of realizing a design encompassing the three dimensions. Two concrete teaching modules on aspects of the history, applications, and philosophy of mathematics-HAPh-modules-are outlined...
Full Text Available The rapid increase and availability of mathematics software, either for classroom or individual learning activities, presents a challenge for teachers. It has been argued that many products are limited in quality. Some of the more commonly used software products have been criticized for poor content, activities which fail to address some learning issues, poor graphics presentation, inadequate documentation, and other technical problems. The challenge for schools is to ensure that the educational software used in classrooms is appropriate and effective in supporting intended outcomes and goals. This paper aimed to develop instrument for evaluating mathematics educational software in order to help teachers in selecting the appropriate software. The instrument considers the notion of educational including content, teaching and learning skill, interaction, and feedback and error correction; and technical aspects of educational software including design, clarity, assessment and documentation, cost and hardware and software interdependence. The instrument use a checklist approach, the easier and effective methods in assessing the quality of educational software, thus the user needs to put tick in each criteria. The criteria in this instrument are adapted and extended from standard evaluation instrument in several references. Keywords: mathematics educational software, educational aspect, technical aspect.
Sharps, Matthew J; Hess, Adam B; Price-Sharps, Jana L; Teh, Jane
Many college students experience difficulties in basic academic skills. Recent research suggests that much of this difficulty may lie in heuristic competency--the ability to use and successfully manage general cognitive strategies. In the present study, the authors evaluated this possibility. They compared participants' performance on a practice California Basic Educational Skills Test and on a series of questions in the natural sciences with heuristic and algorithmic performance on a series of mathematics and reading comprehension exercises. Heuristic competency in mathematics was associated with better scores in science and mathematics. Verbal and algorithmic skills were associated with better reading comprehension. These results indicate the importance of including heuristic training in educational contexts and highlight the importance of a relatively domain-specific approach to questions of cognition in higher education.
Leron, Uri; Hazzan, Orit
Research in mathematics education usually attempts to look into students' learning and other mental processes. It could therefore be expected to build on knowledge acquired within the academic discipline of cognitive psychology. Our aim in this paper is to show how some recent developments in cognitive psychology can help interpret empirical…
Bakker, Arthur; Hußmann, Stephan
Inferentialism, as developed by the philosopher Robert Brandom (1994, 2000), is a theory of meaning. The theory has wide-ranging implications in various fields but this special issue concentrates on the use and content of concepts. The key idea, relevant to mathematics education research, is that
Hossain, Md. Anowar; Tarmizi, Rohani Ahmad; Ayud, Ahmad Fauzi Mohd
Collaborative and cooperative learning studies are well recognized in Malaysian mathematics education research. Cooperative learning is used to serve various ability students taking into consideration of their level of understanding, learning styles, sociological backgrounds that develop students' academic achievement and skills, and breeze the…
Rousseau Anderson, Celia
While mathematics education research has often focused at the level of the classroom (Rousseau Anderson & Tate, 2008), there are emerging calls for attention to shift from individual classrooms to consider the process of reform at the school or district level. Investigating the role of the institution and conditions of the organization becomes…
Ahmed, Afzal; Williams, Honor; Kraemer, Jean Marie
The 51st meeting of the Commission Internationale pour L'Etude et L'Amelioration de L'Ensignment des Mathematiques (CIEAEM) was held July, 1999 at Chichester, UK and facilitated the collaboration of delegates from over 30 countries providing a variety of perspectives on the theme OCultural Diversity in Mathematics Education'. The papers in this…
Purpose: The purpose of this paper is to examine the intersection of artificial intelligence (AI), computational thinking (CT), and mathematics education (ME) for young students (K-8). Specifically, it focuses on three key elements that are common to AI, CT and ME: agency, modeling of phenomena and abstracting concepts beyond specific instances.…
Brandt, Jim; Lunt, Jana; Meilstrup, Gretchen Rimmasch
Educators often argue that mathematics should be taught so that the students in the course are actually "doing mathematics." Is there a consensus among mathematicians and mathematics educators as to the meaning of "doing mathematics?" In an effort to answer this question, we administered a survey to hundreds of university-level…
This paper contrasts public discussions about the educational troubles of boys and girls to consider what a gender equitable mathematics education might look like. Both public discussions and mathematics education research typically do not carefully define or theorize gender, tend to essentialize gender, and have narrow or unclear definitions of…
Brown, Desline A.
The perspectives of special education teachers on the strategies used to teach mathematics to special education students were examined in this dissertation. Three central research questions that guided the study are: (a) What were New York special education teachers' opinions about the methods they use to teach mathematics to special education…
Full Text Available As students advance in their learning of physics over the course of their education, the requirement of mathematical applications in physics-related tasks increases, especially so in upper secondary school and in higher education. Yet there is little empirical work (particularly large-scale or longitudinal on the application of mathematics in physics education compared with the research related to the conceptual knowledge of physics. In order to clarify the nature of mathematics in physics education, we developed a theoretical framework for mathematical competencies pertinent to various physics tasks based on theoretical frameworks from mathematics and physics education. We used this synthesis of frameworks as a basis to create a model for physics competence. The framework also served as a tool for analyzing and categorizing trend items from the international large-scale survey, TIMSS Advanced 1995 and 2008. TIMSS Advanced assessed students in upper secondary school with special preparation in advanced physics and mathematics. We then investigated the changes in achievements on these categorized items across time for nations who participated in both surveys. The results from our analysis indicate that students whose overall physics achievement declined struggled the most with items requiring mathematics, especially items requiring them to handle symbols, such as manipulating equations. This finding suggests the importance of collaboration between mathematics and physics education as well as the importance of traditional algebra for physics education.
explore this interpretation with respect to mathematics education by addressing imaginations, possibilities, obstructions, hopes, fears, stereotypes and preconceptions. I relate meaning in mathematics education to far away horizons of students’ life worlds, to negotiations, to political issues...
African Journal of Educational Studies in Mathematics and Sciences: Advanced Search. Journal Home > African Journal of Educational Studies in Mathematics and Sciences: Advanced Search. Log in or Register to get access to full text downloads.
Center for Research and Reform in Education, 2012
This review summarizes research on the effects of technology use on mathematics achievement in K-12 classrooms. The main research questions included: (1) Do education technology applications improve mathematics achievement in K-12 classrooms as compared to traditional teaching methods without education technology?; and (2) What study and research…
Renata Cristina Geromel Meneghetti
Full Text Available This paper focuses on Mathematics Education in the context of Solidarity Economy and aims to approach our performance, aiming to answer demands of Mathematics Education of the three Solidarity Economy Enterprises (SEE: a cooperative cleaning, of a women carpenter’s group and a group manufacturing homemade soap. Based on the Ethnomathematics, a pedagogical intervention with these SEE was performed, in which we seek to work the Mathematics within the cultural context of these enterprises through problem situations related to their daily work. The research followed a qualitative research through action research. As a result we found that the approach applied has contributed to changes some attitudes, it was favorable to the learning of concepts and also the socioeconomic reintegration, in the direction of a posture more critical and emancipatory. The interventions were inserted in the Non Formal Education, and we point out that realize this type of education can indeed contribute to the ideals of Education in the Solidarity Economy as a way include those who have been socially excluded by formal education provided at school.
Itamar Miranda da Silva
Full Text Available This paper discusses the possibilities of articulation of theory-and-practice in the teaching, by means of critical mathematics education as a proposal for the teacher facing the challenges of daily life in the classroom. The discussion is based on the literature through which was estudied and analyzed several books, articles and dissertations on the subject, as well as our experiences and reflections resulting from the process of teacher education we experienced. From the readings and analysis was possible to construct a teaching proposal that suggests to address critical mathematics education as an alternative link between theory and practice and to assign to the teaching of mathematics a greater dynamism, with the prospect of developing knowledge and pedagogical practices that contribute to a broader training, which prepares for citizenship and for being critical students and teachers in the training process. Conjectures were raised about possible contributions of critical mathematics education as a differentiated alternative as opposed to reproductivist teaching. We believe therefore that this article could help with the reflections on the importance of mathematics education in teacher education which enables the realization that beyond disciplinary knowledge (content, are necessary pedagogical knowledge, curriculum and experiential to address the problems that relate to the teaching of mathematics
Iji, Clement Onwu; Abah, Joshua Abah; Anyor, Joseph Wuave
This study investigated the impact of cloud services on mathematics education students' mathematics confidence, affective engagement, and behavioral engagement in public universities in Benue State, Nigeria. Ex-post facto research design was adopted for the study. The instrument for the study was the researcher-developed Cloud Services Mathematics…
Abramovich, Sergei; Connell, Michael
The paper reflects on an earlier research on the use of technology in secondary mathematics teacher education through the lenses of newer digital tools (Wolfram Alpha, Maple), most recent standards for teaching mathematics, and recommendations for the preparation of schoolteachers. New ideas of technology integration into mathematics education…
A challenge of teacher education is to produce graduate primary school teachers who are confident and competent teachers of mathematics. Various approaches to primary school teacher education in mathematics have been investigated, but primary teacher education graduates still tend to be diffident in their teaching of mathematics. In an age where…
The history of mathematics educational reform is replete with innovations taken up enthusiastically by early adopters without significant transfer to other classrooms. This paper explores the coupling of coding and mathematics education to create the possibility that coding may serve as a Trojan Horse for mathematics education reform. That is,…
Jones, Keith; Pepin, Birgit
Mathematical tasks and tools, including tasks in the form of digital tools, are key resources in mathematics teaching and in mathematics teacher education. Even so, the "design" of mathematical tasks is perceived in different ways: sometimes seen as something distinct from the teaching and learning process, and sometimes as integral to…
Full Text Available This paper starts from two statements based on a literature review. The first one concerns the learning process and states that learning is situated and socioculturally contextualized. Learning happens in the space of the background and the foreground of the learner in his or her particular environment of experience. This statement is based on the Vygotsky and the Cultural psychology approach (Cole, 1996 and on the work of Vithal & Skovsmose (1997.The second statement concerns the deficient theory of the learning process (instead of the deficiently of the learner. Based on the international comparative research on mathematical skills we claim that the drop out of school of many groups of children (OECD, 2010 has to do with the insufficient learning system at school that fail to fit with the daily background knowledge of the children.In the final part of the paper we will present three different ethnomathematical cases based on the educational practices that the authors developed in recent years.
Full Text Available This paper starts from two statements based on a literature review. The first one concerns the learning process and states that learning is situated and socioculturally contextualized. Learning happens in the space of the background and the foreground of the learner in his or her particular environment of experience. This statement is based on the Vygotsky and the Cultural psychology approach (Cole, 1996 and on the work of Vithal & Skovsmose (1997. The second statement concerns the deficient theory of the learning process (instead of the deficiently of the learner. Based on the international comparative research on mathematical skills we claim that the drop out of school of many groups of children (OECD, 2010 has to do with the insufficient learning system at school that fail to fit with the daily background knowledge of the children. In the final part of the paper we will present three different ethnomathematical cases based on the educational practices that the authors developed in recent years.
Pepin, B.; Choppin, J.; Ruthven, K.; Sinclair, N.
In this conceptual review paper we draw on recent literature with respect to digital curriculum resources (DCR); we briefly outline and explain selected theoretical frames; and we discuss issues related to the design, and the use (by teachers and students) of digital curricula and e-textbooks in mathematics education. The results of our review show the following. Firstly, whilst there are some contrasting tendencies between research on instructional technology and research on DCR, these studi...
Full Text Available This study was conducted to determine the effect of Realistic Mathematics Education Approach on mathematics achievement and student attitudes towards mathematics. This study also sought determine the relationship between student achievement and attitudes towards mathematics. This study used a quasi-experimental design conducted on 61 high school students at SMA Unggul Sigli. Students were divided into two groups, the treatment group $(n = 30$ namely, the Realistic Mathematics Approach group (PMR and the control group $(n = 31$ namely, the traditional group. This study was conducted for six weeks. The instruments used in this study were the achievement test and the attitudes towards mathematics questionnaires. Data were analyzed using SPSS. To determine the difference in mean achievement and attitudes between the two groups, data were analyzed using one-way ANOVA test. The result showed significant differences between the Realistic Mathematics Approach and the traditional approach in terms of achievement. The study showed no significant difference between the Realistic Mathematics Approach and the traditional approach in term of attitudes towards mathematics. It can be concluded that the use of realistic mathematics education approach enhanced students' mathematics achievement, but not attitudes towards mathematics. The Realistic Mathematics Education Approach encourage students to participate actively in the teaching and learning of mathematics. Thus, Realistic Mathematics Education Approach is an appropriate methods to improve the quality of teaching and learning process.
Linda van Laren
Full Text Available Since 1999, many South African education policy documents have mandated integration of HIV & AIDS education in learning areas/disciplines. Policy document research has shown that although South African politicians and managers have produced volumes of eloquent and compelling legislation regarding provision for HIV & AIDS education, little of this is translated into action. The impact of HIV & AIDS permeates the social, economic and political arenas in South Africa. Integration of HIV & AIDS education across disciplines can serve as a strategy to further the ideals of social justice. This paper focuses on how integration in the teaching and learning of Mathematics Education provides opportunities to take action for social justice. The inquiry explores the following question: How can the myth that there is 'nothing we can do' about HIV & AIDS, which is linked to social justice issues, be addressed through integration of HIV & AIDS education in Mathematics pre-service teacher education? Drawing on self-study, the work of a Mathematics teacher educator who worked with pre-service teachers to integrate HIV & AIDS education at a higher education institution is described. By considering integration of HIV & AIDS education in Mathematics Education and taking action it is possible to develop strategies which directly relate to social justice.
Novo, María-Luisa; Alsina, Ángel; Marbán, José-María; Berciano, Ainhoa
The construction of a connective brain begins at the earliest ages of human development. However, knowledge about individual and collective brains provided so far by research has been rarely incorporated into Maths in Early Childhood classrooms. In spite of that, it is obvious that it is at these ages when the learning of mathematics acts as a…
Gosslee, D.G.; Shelton, B.K.; Ward, R.C.; Wilson, D.G.
Brief summaries of work done in mathematics and related fields are presented. Research in mathematics and statistics concerned statistical estimation, statistical testing, experiment design, probability, continuum mechanics, functional integration, matrices and other operators, and mathematical software. More applied studies were conducted in the areas of analytical chemistry, biological research, chemistry and physics research, energy research, environmental research, health physics research, materials research, reactor and thermonuclear research, sampling inspection, quality control, and life testing, and uranium resource evaluation research. Additional sections deal with educational activities, presentation of research results, and professional activities. 7 figures, 9 tables
Video games have tremendous potential in mathematics education, yet there is a push to simply add mathematics to a video game without regard to whether the game structure suits the mathematics, and without regard to the level of mathematical thought being learned in the game. Are students practicing facts, or are they problem-solving? This paper…
Effandi Zakaria; Muzakkir Syamaun
This study was conducted to determine the effect of Realistic Mathematics Education Approach on mathematics achievement and student attitudes towards mathematics. This study also sought determine the relationship between student achievement and attitudes towards mathematics. This study used a quasi-experimental design conducted on 61 high school students at SMA Unggul Sigli. Students were divided into two groups, the treatment group $(n = 30)$ namely, the Realistic Mathematics Approach group ...
Full Text Available Three forms of mathematics education at school level are distinguished: direct expository teaching with an emphasis on procedures, with the expectation that learners will at some later stage make logical and functional sense of what they have learnt and practised (the prevalent form, mathematically rigorous teaching in terms of fundamental mathematical concepts, as in the so-called “modern mathematics” programmes of the sixties, teaching and learning in the context of engaging with meaningful problems and focused both on learning to become good problem solvers (teaching for problem solving andutilising problems as vehicles for the development of mathematical knowledge andproﬁciency by learners (problem-centred learning, in conjunction with substantialteacher-led social interaction and mathematical discourse in classrooms.Direct expository teaching of mathematical procedures dominated in school systems after World War II, and was augmented by the “modern mathematics” movement in the period 1960-1970. The latter was experienced as a major failure, and was soon abandoned. Persistent poor outcomes of direct expository procedural teaching of mathematics for the majority of learners, as are still being experienced in South Africa, triggered a world-wide movement promoting teaching mathematics for and via problem solving in the seventies and eighties of the previous century. This movement took the form of a variety of curriculum experiments in which problem solving was the dominant classroom activity, mainly in the USA, Netherlands, France and South Africa. While initially focusing on basic arithmetic (computation with whole numbers and elementary calculus, the problem-solving movement started to address other mathematical topics (for example, elementary statistics, algebra, differential equations around the turn of the century. The movement also spread rapidly to other countries, including Japan, Singapore and Australia. Parallel with the
Full Text Available The current transformations conceive among others, to form in the race of Mathematics-Physics a professor who imparts indistinctly the subjects of Mathematics and Physics in the upper secondary education from the third year of this race which requires putting more emphasis in the orientation of those Subjects to achieve greater professionalism. The present paper approaches from the theoretical aspects the essential aspects in the educational process of the learning of mathematics for the Mathematics-Physics career of the university of pedagogical sciences such as mathematical communicative competences and the use of educational software, all in function of achieving A greater development of student's mathematical logical thinking.
Drawing on philosophy of language and recent linguistic theory, Rowland surveys several approaches to classroom communication in mathematics. Are students intimidated by the nature of mathematics teaching? Many students appear fearful of voicing their understanding - is fear of error part of the linguistics of mathematics? The approaches explored here provide a rationale and a method for exploring and understanding speakers'' motives in classroom mathematics talk. Teacher-student interactions in mathematics are analysed, and this provides a toolkit that teachers can use to respond to the intellectual vulnerability of their students.
This paper explores the current Science, Technology, Engineering and Mathematics (STEM) education research base through an analysis of articles from eight journals focused on the STEM disciplines. Analyzed are both practitioner and research publications to determine the current scope of STEM education research, where current STEM education…
Borba, Marcelo C.; Askar, Petek; Engelbrecht, Johann; Gadanidis, George; Llinares, Salvador; Aguilar, Mario Sánchez
In this literature survey we focus on identifying recent advances in research on digital technology in the field of mathematics education. To conduct the survey we have used internet search engines with keywords related to mathematics education and digital technology and have reviewed some of the main international journals, including the ones in…
Ginsburg, Herbert P.
This issue of "ZDM Mathematics Education" focuses on the formative assessment of young children's mathematical thinking, with an emphasis on computer-based approaches drawing upon on cognitive and educational research. The authors discuss several different assessment methods, including clinical interviewing, observation, and testing,…
The emphasis on science, technology, engineering, and mathematics (STEM) education in recent times could be perceived as business as usual or as an opportunity for innovation and change in mathematics classrooms. Either option presents challenges for mathematics educators who are expected to contribute to the foundations of a STEM literate…
Singapore's Education System has evolved over time and so has Mathematics Education in Singapore. The present day School Mathematics Curricula can best be described as one that caters for the needs of every child in school. It is based on a framework that has mathematical problem solving as its primary focus. The developments from 1946 to 2012…
What are the theoretical foundations of mathematics education? Recently disciplines other than mathematics and psychology have grown in importance, including philosophy. But which branch of philosophy is the most fundamental for mathematics education? In this article, I consider the claims of five branches of philosophy to be our "first…
This research aims to develop a mathematics instructional model based realistic mathematics education (RME) to promote students' problem-solving abilities. The design research used Plomp models, which consists of preliminary phase, development or proto-typing phase and assessment phase. At this study, only the first two phases conducted. The first phase, a preliminary investigation, carried out with a literature study to examine the theory-based instructional learning RME model, characterist...
Full Text Available Relationships between mathematical competence and mathematics teaching innovation do emerge the need for new practices of mathematics teaching. One of the aspects of this new practice is the interaction patterns in the classroom characterizing the mathematical discourse. From these perspectives, the relation between innovation and new mathematics practices defines different contexts for professional development of mathematics teacher.
This volume consists of chapters written by eminent scientists and engineers from the international community and presents significant advances in several theories, and applications of an interdisciplinary research. These contributions focus on both old and recent developments of Global Optimization Theory, Convex Analysis, Calculus of Variations, and Discrete Mathematics and Geometry, as well as several applications to a large variety of concrete problems, including applications of computers to the study of smoothness and analyticity of functions, applications to epidemiological diffusion, networks, mathematical models of elastic and piezoelectric fields, optimal algorithms, stability of neutral type vector functional differential equations, sampling and rational interpolation for non-band-limited signals, recurrent neural network for convex optimization problems, and experimental design. The book also contains some review works, which could prove particularly useful for a broader audience of readers i...
Dr. Michael Wargo, program scientist for materials science at NASA headquarters, explains the math and physics principles associated with freefall research to attendees at the arnual conference of the National Council of Teachers of Mathematics.
Handayanto, A.; Supandi, S.; Ariyanto, L.
The aim of this study is to determine the effect of Learning Modeling System (LMS) Moodle in learning. The population is taken from all students of Mathematics Education, University of PGRI Semarang. The sample was randomly selected from five different course groups. The initial score is taken from the semester test, and the final score is taken through the semester test after the five groups are taught using Moodle. The results of both test results are compared to find out the increase in learning outcomes. Meanwhile, the student's attitude toward learning is taken through his mathematical disposition through questionnaire. The results show that there was a significant increase in exam results on the final exam of the semester. This result is supported by student learning interest which increases on average after using LMS Moodle taken from disposition data.
African Journal of Educational Studies in Mathematics and Sciences. ... on senior high school students' proficiency in solving linear equation word problems ... from parents and teachers' influence on students' mathematics-related self-beliefs ...
Twyford, John; Järvinen, Esa-Matti
The issue of attracting more young people to choose careers in science, technology, engineering, and mathematics (STEM) has become critical for the United States. Recent studies by businesses, associations, and education have all agreed that the United States’ performance in the STEM disciplines have placed our nation in grave risk of relinquishing its competitive edge in the marketplace (e.g., Rising above the gathering storm, 2007). A Congressional Research Service (2006) report stated that...
Kuzle , Ana; Biehler , Rolf
International audience; Studying practices in a teaching-learning environment, such as professional development programmes, is a complex and multi-faceted endeavour. While several frameworks exist to help researchers analyse teaching practices, none exist to analyse practices of those who organize professional development programmes, namely mathematics teacher educators. In this paper, based on theoretical as well as empirical results, we present a protocol for capturing different aspects of ...
Alfonso Jiménez Espinosa
Full Text Available This research-based article reflects on mathematics teacher education, and proposes a pedagogical model for this purpose, called Gradual Research Pedagogical Model (MPGI. This model considers the central curricular elements of any academic education process: student, teacher and contents, with evaluation as transversal element for analysis and feedback. The training of future teachers is constituted by three moments, each with its specific emphasis: the first is “contextualization”, which aims at having the student understand his or her new academic role, and identify and overcome his or her academic weak points, the second is “knowledge foundation”, which offers basic education in the fields of mathematics and pedagogy, as well as sensibilization towards social issues, opening up the student’s possibilities as leader and agent of change, and lastly, “knowledge immersion”, which is centered on research and the identification and study of topics and problems of the mathematical discipline as well as the pedagogical field.
Influence of Strengthening Mathematics and Science in Secondary Education (SMASSE) in Service Education and Training(INSET) on the Attitude of Students towards Mathematics Perfomance in Public Secondary Schools of Rangwe Division, Homa-Bay Sub County-Kenya
Wafubwa, Ruth Nanjekho
The general performance in mathematics in Kenya has been declining over the past years. This prompted the researchers to investigate the influence of Strengthening Mathematics and Science in Secondary Education (SMASSE) In Service Education and Training (INSET) on students' attitudes towards mathematics performance in public secondary schools of…
Full Text Available The aims of this research to determine the effect of Think Talk Write (TTW and Think Pair Share (TPS model with Realistic Mathematics Education (RME approach viewed from mathematical-logical intelligence. This research employed the quasi experimental research. The population of research was all students of the eight graders of junior high school in Karangamyar Regency in academic year 2016/2017. The result of this research shows that (1 TTW with RME approach gave better mathematics achievement than TPS with RME approach, (2 Students with high mathematical-logical intelligence can reach a better mathematics achievement than those with average and low, whereas students with average mathematical-logical intelligence can reach a better achievement than those with low one, (3 In TTW model with RME approach, students with high mathematical-logical intelligence can reach a better mathematics achievement than those with average and low, whereas students with average and low mathematical-logical intelligence gave same mathematics achievement, and in TPS model with RME approach students with high mathematical-logical intelligence can reach a better mathematics achievement than those with average and low, whereas students with average mathematical-logical intelligence can reach a better achievement than those with low one (4 In each category of mathematical-logical intelligence, TTW with RME approach and TPS with RME approach gave same mathematics achievement.
Papadakis, Stamatios; Kalogiannakis, Michail; Zaranis, Nicholas
The present study investigates and compares the influence of teaching Realistic Mathematics on the development of mathematical competence in kindergarten. The sample consisted of 231 Greek kindergarten students. For the implementation of the survey, we conducted an intervention, which included one experimental and one control group. Children in…
to the ATD, it is illustrated with an example on addition of fractions how the notions of didactic transposition and praxeology can be used to analyse the theory-practice relation in this situation. Build on this analysis, the two models are combined into a more comprehensive model for describing......The challenge of establishing an interplay between theory and practice in mathematics teacher education is examined by the use of the anthropological theory of the didactic (ATD). The theory-practice problem is described both in an international and a Danish context. After a brief introduction...
Stockero, Shari L.; Peterson, Blake E.; Leatham, Keith R.; Van Zoest, Laura R.
Instruction that meaningfully incorporates students' mathematical thinking is widely valued within the mathematics education community (NCTM 2000; Sherin, Louis, and Mendez 2000; Stein et al. 2008). Although being responsive to student thinking is important, not all student thinking has the same potential to support mathematical learning.…
Lowrie, Tom; Jorgensen, Robyn
This investigation explored pre-service teachers' mathematics content knowledge (MCK) and beliefs associated with mathematics education practices. An Exploratory Factor Analysis, conducted on a beliefs and attitudes questionnaire, produced three common attitude factors associated with (1) inquiry-based teaching; (2) how mathematics knowledge is…
Hine, Gregory S. C.
This qualitative research project explored the self-perceptions of pre-service secondary mathematics teachers completing a Graduate Diploma of Secondary Education. Specifically, the researcher investigated the extent to which teachers perceived their readiness to commence a secondary mathematics teaching position. The project relied principally on…
Prendergast, Mark; O'Donoghue, John
This research investigates the influence that gender, single-sex and co-educational schooling can have on students' mathematics education in second-level Irish classrooms. Although gender differences in mathematics education have been the subject of research for many years, recent results from PISA (Programme for International Student Assessment)…
Afthina, H.; Mardiyana; Pramudya, I.
This research aims to determine the impact of mathematics learning applying Think Pair Share (TPS) using Realistic Mathematics Education (RME) viewed from mathematical-logical intelligence in geometry learning. Method that used in this research is quasi experimental research The result of this research shows that (1) mathematics achievement applying TPS using RME approach gives a better result than those applying direct learning model; (2) students with high mathematical-logical intelligence can reach a better mathematics achievement than those with average and low one, whereas students with average mathematical-logical intelligence can reach a better achievement than those with low one; (3) there is no interaction between learning model and the level of students’ mathematical-logical intelligence in giving a mathematics achievement. The impact of this research is that TPS model using RME approach can be applied in mathematics learning so that students can learn more actively and understand the material more, and mathematics learning become more meaningful. On the other hand, internal factors of students must become a consideration toward the success of students’ mathematical achievement particularly in geometry material.
This paper introduces the philosophical work of Robert Brandom, termed inferentialism, which underpins this collection and argues that it offers rich theoretical resources for reconsidering many of the challenges and issues that have arisen in mathematics education. Key to inferentialism is the privileging of the inferential over the representational in an account of meaning; and of direct concern here is the theoretical relevance of this to the process by which learners gain knowledge. Inferentialism requires that the correct application of a concept is to be understood in terms of inferential articulation, simply put, understanding it as having meaning only as part of a set of related concepts. The paper explains how Brandom's account of the meaning is inextricably tied to freedom and it is our responsiveness to reasons involving norms which makes humans a distinctive life form. In an educational context norms, function to delimit the domain in which knowledge is acquired and it is here that the neglect of our responsiveness to reasons is significant, not only for Brandom but also for Vygotsky, with implications for how knowledge is understood in mathematics classrooms. The paper explains the technical terms in Brandom's account of meaning, such as deontic scorekeeping, illustrating these through examples to show how the inferential articulation of a concept, and thus its correct application, is made visible. Inferentialism fosters the possibility of overcoming some of the thorny old problems that have seen those on the side of facts and disciplines opposed to those whose primary concern is the meaning making of learners.
Enime, Noble O. J.
This qualitative research method of study examined the impacts of the Nigerian pre-independence era Mathematics Education Practice on the Post-Colonial era Mathematics Education Practice. The study was designed to gather qualitative information related to Pre-independence and Postcolonial era data related to Mathematics Education Practice in Nigeria (Western, Eastern and the Middle Belt) using interview questions. Data was collected through face to face interviews. Over ten themes emerged from these qualitative interview questions when data was analyzed. Some of the themes emerging from the sub questions were as follows. "Mentally mature to understand the mathematics" and "Not mentally mature to understand the mathematics", "mentally mature to understand the mathematics, with the help of others" and "Not Sure". Others were "Contented with Age of Enrollment" and "Not contented with Age of Enrollment". From the questions of type of school attended and liking of mathematics the following themes emerged: "Attended UPE (Universal Primary Education) and understood Mathematics", and "Attended Standard Education System and did not like Mathematics". Connections between the liking of mathematics and the respondents' eventual careers were seen through the following themes that emerged. "Biological Sciences based career and enjoyed High School Mathematics Experience", "Economics and Business Education based career and enjoyed High School Mathematics Experience" and five more themes. The themes, "Very helpful" and "Unhelpful" emerged from the question concerning parents and students' homework. Some of the themes emerging from the interviews were as follows: "Awesome because of method of Instruction of Mathematics", "Awesome because Mathematics was easy", "Awesome because I had a Good Teacher or Teachers" and four other themes, "Like and dislike of Mathematics", "Heavy work load", "Subject matter content" and "Rigor of instruction". More emerging themes are presented in this
The students begin by using their knowledge of school mathematics and propose three ..... discussions were 'strikingly internalistic', drawing on the ontology of ... activities, interactions, values, etc. in particular spaces and at particular times ...
Lymphatic Education & Research Network Donate Now Become a Supporting Member X Living with LYMPHEDEMA AND Lymphatic Disease FAQs About ... December 8, 2017 11.08.2017 The Lymphatic Education & Research Network… Read More > ASRM LE&RN Combined ...
Jansen, Amanda; Berk, Dawn; Meikle, Erin
In this article, Amanda Jansen, Dawn Berk, and Erin Meikle investigate the impact of mathematics teacher education on teaching practices. In their study they interviewed six first-year teachers who graduated from the same elementary teacher education program and who were oriented toward teaching mathematics conceptually. They observed each teacher…
Points out the diminishing demand for mathematics undergraduate programs and the strong trend in engineering education to make greater use of computer coursework such as Mathcad, Matlab, and other software systems for the mathematical and statistical components of engineering programs. Describes the changing role of mathematics learning centers…
Andersson, Annica; Valero, Paola
Compulsory mathematics for social science students is problematic. We discuss the case of a group of students in Sweden who met a mathematics course inspired on the ideas of critical mathematics education and ethnomathematics. The evidence collected about students' experiences on this course...
Innovation in learning and teaching is an everyday requirement in contemporary higher education (HE), especially in challenging subjects such as mathematics. Teaching mathematics to students with limited experience of formal mathematical instruction is a good example of a demanding pedagogical undertaking where innovatory practice can help HE…
Issenberg, S. Barry; Cohen, Elaine R.; Barsuk, Jeffrey H.; Wayne, Diane B.
Medical education research contributes to translational science (TS) when its outcomes not only impact educational settings, but also downstream results, including better patient-care practices and improved patient outcomes. Simulation-based medical education (SBME) has demonstrated its role in achieving such distal results. Effective TS also encompasses implementation science, the science of health-care delivery. Educational, clinical, quality, and safety goals can only be achieved by thematic, sustained, and cumulative research programs, not isolated studies. Components of an SBME TS research program include motivated learners, curriculum grounded in evidence-based learning theory, educational resources, evaluation of downstream results, a productive research team, rigorous research methods, research resources, and health-care system acceptance and implementation. National research priorities are served from translational educational research. National funding priorities should endorse the contribution and value of translational education research. PMID:23138127
Bussi, Maria G. Bartolini; Bazzini, Luciana
Acknowledging the complex relationships which the field of didactics of mathematics has with other research fields (e.g. mathematics, educational sciences, epistemology, history, psychology, semiotics, sociology, cognitive science), the authors analyze in this paper some cases of fruitful and some of failed dialogue between experts of the…
Considers methodological issues that arise when values form the main focus of empirical educational research. Includes discussion of the idea that social science, in general, and educational research, in particular, are forms of moral inquiry. Outlines a methodology of educational research, drawing from work by Imre Lakatos, Alasdair MacIntyre,…
Cole, Michael, Ed.; Griffin, Peg, Ed.
This book summarizes research on the various ways that students' cultural backgrounds and innate ways of learning affect academic achievement. It also offers descriptions and recommendations for improving science and mathematics education for minorities and women, based on successful programs, that take these differences into account. The focus is…
Full Text Available This paper will discuss Islamic educational studies that is reviewing how to find, limit and define problems and problem-solving concepts. The central question of this paper is to describe how to solve the problem in Islamic educational research. A researcher or educator who has the knowledge, expertise, or special interest on education for example is usually having a sensitivity to issues relating to educational research. In the research dimension of religious education, there are three types of problems, namely: Problems foundation, structural problems and operational issues. In doing research in Islamic education someone should understand research problem, limiting and formulating the problem, how to solve the problem, other problem relating to the point of research, and research approach.
Report published in the Proceedings of the National Conference on "Education in the Information Society", Plovdiv, May, 2013 Mathematics and IT classes in the Bulgarian school provide various opportunities for developing students’ logical, mathematical, and technological thinking. Being an important part of mathematical literacy, financial literacy can be systematically built in the frame of national mathematics and IT curricula. Following that objective, exemplary word problems ...
Polemer M. Cuarto
Full Text Available Classroom climate has gained prominence as recent studies revealed its potentials as an effective mediator in the various motivational factors as well as an antecedent of academic performance outcome of the students. This descriptive-correlational study determined the level of classroom climate dimensions among teacher education students specializing in Mathematics at Mindoro State College of Agriculture and Technology. Employing a self-structured questionnaire adapted to the WIHIC (What Is Happening In this Class questionnaire, the surveyed data were treated statistically using Pearson’s r. Result showed that there was high level of classroom climate among the respondents in their Mathematics classes in both teacher-directed and student-directed dimensions specifically in terms of equity, teacher support, cohesiveness, involvement, responsibility and task orientation. Also, it revealed that equity and teacher support were both positively related to the students-directed classroom climate dimensions. With these results, teachers are seen to be very significant determinants of the climate in the classroom. Relevant to this, the study recommended that faculty should develop effective measures to enhance classroom climate dimensions such as equity and teacher support to address the needs of diverse studentsdespite large size classes. Moreover, faculty should provide greater opportunitiesfor the students to achieve higher level of responsibility, involvement, cohesiveness, and task orientation as these could motivate them to develop positive learning attitude, perform to the best of their ability, as well as maximize their full potential in school.
Characterizing the quality of teacher education programs and courses Supported by the Ministry of Science and Technology Working for three years Three universities working on secondary mathematics pre- service teacher education Almeria, Cantabria and Granada With a common model
Mª Pilar Gutiérrez
Full Text Available En España se realizan un gran número de investigaciones en Educación Matemática y se presentan avances de sus resultados en los simposios de la Sociedad Española de Investigación en Educación Matemática (SEIEM. En este trabajo se presenta un estudio de las actas de dichos simposios. El objetivo de este trabajo es identificar algunos indicadores bibliométricos así como las redes de colaboración institucional y de coautoría. El análisis se realizó con 268 documentos de las actas SEIEM, observándose un bajo porcentaje de colaboración científica entre los investigadores del área. También se obtienen similares resultados en la cooperación internacional. Spain produces a large amount of research in mathematics education and its results are presented in the symposia of the Spanish Society for Research in Mathematics Education (SEIEM. This paper presents a study of the proceedings of these symposia. Its aim is to identify some bibliometric indicators and networks of institutional collaboration and co-authorship. The analysis was performed with 268 SEIEM documents. We found a low level of scientific collaboration between researchers in the field. Similar results are obtained for international cooperation.
Ringsted, Charlotte Vibeke
Research in medical education is a relatively new discipline. Over the past 30 years, the discipline has experienced a tremendous growth, which is reflected in an increase in the number of publications in both medical education journals and medical science journals. However, recent reviews...... of articles on medical education studies indicate a need for improvement of the quality of medical education research in order to contribute to the advancement of educational practice as well as educational research. In particular, there is a need to embed studies in a conceptual theoretical framework...
Teachers' instructional practices are greatly shaped by their own learning experiences as students in K-12 and college classrooms, which for most teachers was traditional, teacher-centered instruction. One of the challenges facing mathematics education reform is that, traditional teaching is in contrast to reform student- centered instruction. If teachers learn from their experiences as mathematics students, mathematics teacher educators are encouraged to model practices they would like teach...
Triantafyllou, Eva; Timcenko, Olga
This project explores the opportunities and challenges of integrating digital technologies in mathematics education in creative engineering studies. Students in such studies lack motivation and do not perceive the mathematics the same way as mathematics students do. Digital technologies offer new...... are conceptualized. Then, we are going to apply this field data in designing learning technologies, which will be introduced in university classrooms. The effect of this introduction will be evaluated through educational design experiments....
Yildirim, Bekir; Türk, Cumhur
In this study, the opinions of middle school science teachers and mathematics teachers towards STEM education were examined. The research was carried out for 30 hours with 28 middle school science and mathematics teachers who were working in Istanbul during the spring semester of 2016-2017 academic year. 75% of these teachers are female teachers…
Hong, Ye Yoon; Kerr, Suzanne; Klymchuk, Sergiy; McHardy, Johanna; Murphy, Priscilla; Spencer, Sue; Thomas, Michael O. J.; Watson, Peter
The transition from school to tertiary study of mathematics comes under increasing scrutiny in research. This article reports on some findings from a project analysing the transition from secondary to tertiary education in mathematics. One key variable in this transition is the teacher or lecturer. This article deals with a small part of the data…
Meletiou-Mavrotheris, Maria, Ed.; Mavrou, Katerina, Ed.; Paparistodemou, Efi, Ed.
Despite increased interest in mobile devices as learning tools, the amount of available primary research studies on their integration into mathematics teaching and learning is still relatively small due to the novelty of these technologies. "Integrating Touch-Enabled and Mobile Devices into Contemporary Mathematics Education" presents…
Rochmad; Agoestanto, A.; Kharis, M.
Critical and creative thinking give important role in learning matematics for mathematics education students. This research to explored the characteristic of critical and creative thinking of students of mathematics study program in mathematics department. Critical thinking and creative thinking can be illustrated as two sides of a coin, which one is associated to the other. In elementary linear algebra courses, however, critical thinking can be seen as a foundation to build students’ creative thinking.
Humphrey, Michael; Hourcade, Jack J.
Special educators are uniquely challenged to be content experts in all curricular areas, including mathematics, because students in their caseloads may require academic instruction in any area. However, special educators with math phobia may be limited in their ability to provide effective instruction to their students with mathematical deficits…
The purpose of this study was to determine open primary education school students' opinions about mathematics television programmes. This study indicated that to determine differences among open primary education school students' opinions about mathematics television programmes point of view students' characteristics like gender, age, grade,…
In the Dutch Republic in the 18th century mathematics was considered very important for many professions. However there were hardly any national or regional educational institutes which provided mathematics education. Three orphanages in different towns received a large inheritance under condition
Ensuring a smooth mathematics education programme requires the formulation and implementation of appropriate instructional policies. This study is a survey of some practices of the instructional policies and their influence on mathematics education. Completed Basic School Annual Census (CBSAC) forms and ...
Williams, Julian; Choudry, Sophina
Mathematics education needs a better appreciation of the dominant power structures in the educational field: Bourdieu's theory of capital provides a good starting point. We argue from Bourdieu's perspective that school mathematics provides capital that is finely tuned to generationally reproduce the social structures that serve to keep the…
Grootenboer, Peter; Edwards-Groves, Christine
In this paper we will examine mathematics education using practice theory. We outline the theoretical and philosophical ideas that have been developed, and in particular, we discuss the "sayings," "doings," and "relatings" inherent in the teaching and learning practices of mathematics education. This theorising is…
Costa, V. B.; Albertson, R.; Smith, S.; Stockman, S. A.
The Airborne Research Experience for Educators (AREE) Program, conducted by the NASA Dryden Flight Research Center Office of Education in partnership with the AERO Institute, NASA Teaching From Space Program, and California State University Fullerton, is a complete end-to-end residential research experience in airborne remote sensing and atmospheric science. The 2009 program engaged ten secondary educators who specialize in science, technology, engineering or mathematics in a 6-week Student Airborne Research Program (SARP) offered through NSERC. Educators participated in collection of in-flight remote sensor data during flights aboard the NASA DC-8 as well as in-situ research on atmospheric chemistry (bovine emissions of methane); algal blooms (remote sensing to determine location and degree of blooms for further in-situ analysis); and crop classification (exploration of how drought conditions in Central California have impacted almond and cotton crops). AREE represents a unique model of the STEM teacher-as-researcher professional development experience because it asks educators to participate in a research experience and then translate their experiences into classroom practice through the design, implementation, and evaluation of instructional materials that emphasize the scientific research process, inquiry-based investigations, and manipulation of real data. Each AREE Master Educator drafted a Curriculum Brief, Teachers Guide, and accompanying resources for a topic in their teaching assignment Currently, most professional development programs offer either a research experience OR a curriculum development experience. The dual nature of the AREE model engaged educators in both experiences. Educators’ content and pedagogical knowledge of STEM was increased through the review of pertinent research articles during the first week, attendance at lectures and workshops during the second week, and participation in the airborne and in-situ research studies, data
Lever, W.E.; Shepherd, D.E.; Ward, R.C.; Wilson, D.G.
Brief descriptions are given of work done in mathematical and statistical research (moving-boundary problems; numerical analysis; continuum mechanics; matrices and other operators; experiment design; statistical testing; multivariate, multipopulation classification; statistical estimation) and statistical and mathematical collaboration (analytical chemistry, biological research, chemistry and physics research, energy research, engineering technology research, environmental sciences research, health physics research, meterials research, sampling inspection and quality control, uranium resource evaluation research). Most of the descriptions are a page or less in length. Educational activities, publications, seminar titles, etc., are also included
Mitchell, Rebecca; Laski, Elida
Instructors (N = 204) of elementary mathematics methods courses completed a survey assessing the extent to which they stay informed about research related to effective uses of educational technology and the kinds and numbers of educational technologies they include in their courses. Findings indicate that, while they view educational technology…
Abdullah, Mohd Faizal Nizam Lee; Vimalanandan, Lena
Teaching practice during school based experiences, afford an opportunity for pre service teachers to put into practice their knowledge for teaching mathematics. Like all knowledge, Mathematical Knowledge for Teaching (MKT) is held in both tacit and explicit form, making it especially difficult to study and map during instruction. This study investigates the tacit and explicit nature of MKT held by pre service teachers in a Malaysian Teacher Education Program and how it impacts the Mathematical Quality of their instruction (MQI). This study of three mathematics pre-service teachers (PSTs), utilised videos of mathematics lessons, reflective debriefs and interviews. The findings suggest that factors such as reflecting, peer-sharing, conferencing with mentors and observing support in making tacit knowledge more explicit during planning and instruction. Implications for preparation of mathematics teachers capable of high Mathematical Quality of Instruction are also discussed.
Check, Joseph; Schutt, Russell K.
"Research Methods in Education" introduces research methods as an integrated set of techniques for investigating questions about the educational world. This lively, innovative text helps students connect technique and substance, appreciate the value of both qualitative and quantitative methodologies, and make ethical research decisions.…
St. Pierre, Elizabeth Adams
The author argues that educational research curriculum that repeats formalized, scientized, pre-existing, methods-driven social science research methodologies stifle the present and future of educational research. Because such methodologies are too often disconnected from their onto-epistemological commitments, she argues for a reconnection with…
Wardono; Waluya, S. B.; Mariani, Scolastika; Candra D, S.
This study aims to find out that there are differences in mathematical literacy ability in content Change and Relationship class VII Junior High School 19, Semarang by Problem Based Learning (PBL) model with an Indonesian Realistic Mathematics Education (called Pendidikan Matematika Realistik Indonesia or PMRI in Indonesia) approach assisted Elearning Edmodo, PBL with a PMRI approach, and expository; to know whether the group of students with learning PBL models with PMRI approach and assisted E-learning Edmodo can improve mathematics literacy; to know that the quality of learning PBL models with a PMRI approach assisted E-learning Edmodo has a good category; to describe the difficulties of students in working the problems of mathematical literacy ability oriented PISA. This research is a mixed methods study. The population was seventh grade students of Junior High School 19, Semarang Indonesia. Sample selection is done by random sampling so that the selected experimental class 1, class 2 and the control experiment. Data collected by the methods of documentation, tests and interviews. From the results of this study showed average mathematics literacy ability of students in the group PBL models with a PMRI approach assisted E-learning Edmodo better than average mathematics literacy ability of students in the group PBL models with a PMRI approach and better than average mathematics literacy ability of students in the expository models; Mathematics literacy ability in the class using the PBL model with a PMRI approach assisted E-learning Edmodo have increased and the improvement of mathematics literacy ability is higher than the improvement of mathematics literacy ability of class that uses the model of PBL learning with PMRI approach and is higher than the improvement of mathematics literacy ability of class that uses the expository models; The quality of learning using PBL models with a PMRI approach assisted E-learning Edmodo have very good category.
Critical analysis of the literature reveals that many questions about the knowledge and practice of mathematics teacher educators (MTEs) remain in need of further research: how do they know what to teach; how do they learn how to teach teachers; how do they prepare to teach their courses; how does the research on teacher education inform their…
Yuliana, Yuliana; Tasari, Tasari; Wijayanti, Septiana
The objectives of this research are (1) to develop Guided Discovery Learning in integral calculus subject; (2) to identify the effectiveness of Guided Discovery Learning in improving the students' understanding toward integral calculus subject. This research was quasy experimental research with the students of even semester in Mathematics Education Widya Dharma University as the sample. Cluster Random sampling was conducted to determine control group that was taught using Conventional model a...
Zimbabwe Journal of Educational Research. ... A Requiem Too Soon or a Landing Strand Too Far? ... and Mathematics (STEM) Education in Zimbabwe Secondary Schools: Access, Quality, Policy · EMAIL FULL TEXT EMAIL FULL TEXT
Syllabusitis is a name for a disease that consists of identifying the mastering of a subject with proficiency related to a syllabus. In this paper I argue that using a set of mathematical competencies as the hub of mathematics education can be a means to fight syllabusitis. The introduction and t...... proven to be a crucial element when attempting to put the competency idea into educational practice, and exemplify how that can be done when it comes to mathematics education at university level.......Syllabusitis is a name for a disease that consists of identifying the mastering of a subject with proficiency related to a syllabus. In this paper I argue that using a set of mathematical competencies as the hub of mathematics education can be a means to fight syllabusitis. The introduction...
Çelik, H. Coskun
The aim of the present study was to examine the mathematical modelling studies done between 2004 and 2015 in Turkey and to reveal their tendencies. Forty-nine studies were selected using purposeful sampling based on the term, "mathematical modelling" with Higher Education Academic Search Engine. They were analyzed with content analysis.…
Jóelsdóttir, Lóa Björk; Errebo-Hansen, Dorthe; Westphael, Henning
Bridging the dichotomy of theory and practices has long been a key issue of the research in teacher education both in general and within mathematics education (Østergaard, 2016). In the15th ICMI Study (Even & Ball, 2009) there is brief discussion of this dichotomy in (Ponte et al, 2009) but mainly...... the perspective is either on students learning from practice or students learning in an educational programme, which we see as an example of the dichotomy between theory and practices often seen in research of mathematics teacher education. In studies, focusing on bridging the gap often it is seen being...
Fauzan, Ahmad; Slettenhaar, Dick; Plomp, T.
This paper presents a case study about employing Realistic Mathematics Education (RME)-approach to teach mathematics in Indonesian primary schools. Many obstacles, such as the very dependent attitude of the pupils, the pupils who were not used to working in groups, lack of reasoning capability and
Dalla Vecchia, Rodrigo
This study discusses aspects of the association between Mathematical Modeling (MM) and Big Data in the scope of mathematical education. We present an example of an activity to discuss two ontological factors that involve MM. The first is linked to the modeling stages. The second involves the idea of pedagogical objectives. The main findings…
Ezeudu, F. O.; Ofoegbu, T. O.; Anyaegbunnam, N. J.
This paper discussed the need to restructure STM (science, technology, and mathematics) education to reflect entrepreneurship. This is because the present STM education has not achieved its aim of making graduates self-reliant. Entrepreneurship education if introduced in the STM education will produce graduate who can effectively manage their…
Fenesi, Barbara; Sana, Faria; Kim, Joseph A.; Shore, David I.
In recent years, research from cognitive science has provided a solid theoretical framework to develop evidence-based interventions in education. In particular, research into reading, writing, language, mathematics and multimedia learning has been guided by the application of Baddeley's multicomponent model of working memory. However, an…
Jansen, Daniel J.
Teacher efficacy continues to be an important area of study in educational research. This study tested an instrument designed to assess the perceived efficacy of agricultural education teachers when engaged in lessons involving mathematics instruction. The study population of Oregon and Washington agricultural educators utilized in the validation of the instrument revealed important demographic findings and specific results related to teacher efficacy for the study population. An instrument was developed from the assimilation of three scales previously used and validated in efficacy research. Participants' mathematics teaching efficacy was assessed using a portion of the Mathematics Teaching Efficacy Beliefs Instrument (MTEBI), and personal mathematics efficacy was evaluated by the mathematics self-belief instrument which was derived from the Betz and Hackett's Mathematics Self-Efficacy Scale. The final scale, the Teachers' Sense of Efficacy Scale (TSES) created by Tschannen-Moran and Woolfolk Hoy, examined perceived personal teaching efficacy. Structural equation modeling was used as the statistical analyses tool to validate the instrument and examine correlations between efficacy constructs used to determine potential professional development needs of the survey population. As part of the data required for validation of the Mathematics Enhancement Teaching Efficacy instrument, demographic information defining the population of Oregon and Washington agricultural educators was obtained and reported. A hypothetical model derived from teacher efficacy literature was found to be an acceptable model to verify construct validity and determine strength of correlations between the scales that defined the instrument. The instrument produced an alpha coefficient of .905 for reliability. Both exploratory and confirmatory factor analyses were used to verify construct and discriminate validity. Specifics results related to the survey population of agricultural educators
Læssøe, Jeppe; Feinstein, Noah Weeth; Blum, Nicole
in the areas of Environmental Education (EE), Education for Sustainable Development and Climate Change Education. It especially makes a case for two kinds of research on EE policy: (1) a multi-sited approach to empirical documentation and theory development which explores the relationships between...
Rivera, D P
The prevalence of students with mathematics learning disabilities has triggered an interest among special education researchers and practitioners in developing an understanding of the needs of this group of students, and in identifying effective instructional programming to foster their mathematical performance during the school years and into adulthood. Research into the characteristics of students with mathematics learning disabilities is being approached from different perspectives, including developmental, neurological and neuropsychological, and educational. This diversity helps us develop a broader understanding of students' learning needs and difficulties. Special education assessment practices encompass a variety of approaches, including norm-referenced, criterion-referenced, and nonstandardized procedures, depending on the specific assessment questions professionals seek to answer. Students' mathematical knowledge and conceptual understanding must be examined to determine their strengths and weaknesses, curriculum-based progress, and use of cognitive strategies to arrive at mathematical solutions. Research findings have identified empirically validated interventions for teaching mathematics curricula to students with mathematics learning disabilities. Research studies have been grounded in behavioral theory and cognitive psychology, with an emergent interest in the constructivist approach. Although research studies have focused primarily on computational performance, more work is being conducted in the areas of story-problem solving and technology. These areas as well as other math curricular skills require further study. Additionally, the needs of adults with math LD have spurred educators to examine the elementary and secondary math curricula and determine ways to infuse them with life skills instruction accordingly. As the field of mathematics special education continues to evolve, special educators must remain cognizant of the developments in and
The main goal of this article is to introduce physics education research (PER) to researchers in other fields. Topics include discussion of differences between science education research (SER) and physics education research (PER), physics educators, research design and methodology in physics education research and current research traditions and…
In this book Lee Rudolph brings together international contributors who combine psychological and mathematical perspectives to analyse how qualitative mathematics can be used to create models of social and psychological processes. Bridging the gap between the fields with an imaginative and stimulating collection of contributed chapters, the volume updates the current research on the subject, which until now has been rather limited, focussing largely on the use of statistics. Qualitative Mathematics for the Social Sciences contains a variety of useful illustrative figures, in
Jankvist, Uffe Thomas; Iversen, Steffen Møllegaard
The article elaborates and exemplifies a potential categorization of the reasons for using philosophy, in particular the philosophy of mathematics, in mathematics education and approaches to doing so—the so-called ‘whys’ and ‘hows’. More precisely, the ‘whys’ are divided into the two categories...... of ‘philosophy as a tool’ for teaching and learning mathematics, and ‘philosophy as a goal’, referring to a stance of considering it a purpose in itself to teach students certain aspects regarding the philosophy of mathematics. A division of the ‘hows’ into three different categories is offered: illumination...... approaches; modules approaches; and philosophy-based approaches. A major part of the article is spent on providing illustrative exemplifications of each of these approaches by referring to already implemented uses of philosophy of mathematics in mathematics education as well as by suggesting new ones....
Indigenous games are an integral component of indigenous knowledge systems. ... and national activities; mathematical concepts associated with the games; possibilities and implications for general classroom ... AJOL African Journals Online.
McKenney, Susan; Reeves, Thomas
Educational design research blends scientific investigation with systematic development and implementation of solutions to educational problems. Empirical investigation is conducted in real learning settings--not laboratories--to craft usable and effective solutions. At the same time, the research is carefully structured to produce theoretical…
Educational leadership practice is embedded and shaped in its own context. However, contemporary policy makers are keen to use research findings from multiple educational systems to produce overall, generic models of best leadership practice. Therefore, research needs to encompass analyses of the political, societal, cultural, and institutional…
Inspired by the Research Collaboration Workshop for Women in Mathematical Biology, this volume contains research and review articles that cover topics ranging from models of animal movement to the flow of blood cells in the embryonic heart. Hosted by the National Institute for Mathematics and Biological Synthesis (NIMBioS), the workshop brought together women working in biology and mathematics to form four research groups that encouraged multidisciplinary collaboration and lifetime connections in the STEM field. This volume introduces many of the topics from the workshop, including the aerodynamics of spider ballooning; sleep, circadian rhythms, and pain; blood flow regulation in the kidney; and the effects of antimicrobial therapy on gut microbiota and microbiota and Clostridium difficile. Perfect for students and researchers in mathematics and biology, the papers included in this volume offer an introductory glimpse at recent research in mathematical biology. .
Full Text Available The aim of this study was to reveal the opinions of elementary school pre-service teachers about the usage of educational mathematics games in elementary mathematics teaching. In this study, case study that, one of qualitative research methods, was used. Data were collected by utilizing a semi-structured interview form to these elementary school pre-service teachers and analyzed using by content analysis method. A total of 10 junior pre-service teachers enrolled in undergraduate programs of elementary teaching attended to this research. In conclusion, these pre-service teachers indicated that educational computer games would provide benefits such as making students’ learning more permanent, visualizing concepts, making students love mathematics, learning by entertaining, reinforcing what has been learnt and developing thinking skills. Nevertheless, these elementary school pre-service teachers stated the limitations about educational computer games such as causing addiction and physical damages, being time-consuming, requiring special equipment and software and making class management difficult. Besides, it was revealed that the pre-service teachers demonstrated positive attitudes towards the use of games in courses while that they did not feel themselves competent in terms of application.Key Words: Educational computer games, mathematics teaching, elementary school pre-service teachers
Gallon, Dennis P., Ed.
In order to remain competitive in the world economy, the United States must develop and improve mathematics and science education. Given that the future workforce in this country will be comprised largely of women and minorities, groups traditionally not entering mathematics and science careers, special recruitment and retention efforts must be…
Jankvist, Uffe Thomas; Iversen, Steffen Møllegaard
The article elaborates and exemplifies a potential categorization of the reasons for using philosophy, in particular the philosophy of mathematics, in mathematics education and approaches to doing so-the so-called "whys" and "hows". More precisely, the "whys" are divided into the two categories of "philosophy as…
Björklund, Camilla; Barendregt, Wolmet
Revised guidelines for Swedish early childhood education that emphasize mathematics content and competencies in more detail than before raise the question of the status of pedagogical mathematical awareness among Swedish early childhood teachers. The purpose of this study is to give an overview of teachers' current pedagogical mathematical…
Stripling, Christopher T.; Roberts, T. Grady; Stephens, Carrie A.
The purpose of this study was to describe the mathematics ability of preservice agricultural education teachers related to each of the National Council of Teachers of Mathematics (NCTM) content/process areas and their corresponding sub-standards that are cross-referenced with the National Agriculture, Food and Natural Resources Career Cluster…
In Germany during the past few years the nursery school (for ages three-six) is increasingly regarded as an educational institution rather than a childcare centre. This is reflected in the increasing number of curricula for young children, which include mathematics as a domain of learning skills. In the past mathematics has not been part of the…
Langereis, G.R.; Hu, J.; Feijs, L.M.G.; Stillmann, G.A.; Kaiser, G.; Blum, W.B.; Brown, J.P.
With competency based learning in a project driven environment, we are facing a different perspective of how students perceive mathematical modelling. In this chapter, a model is proposed where conventional education is seen as a process from mathematics to design, while competency driven approaches
Cox, Peter J.; Leder, Gilah C.; Forgasz, Helen J.
Gender differences in participation and performance at "high stakes" examinations have received much public attention, which has often focused on mathematics and science subjects. This paper describes the innovative forms of assessment introduced into mathematics and science subjects within the Victorian Certificate of Education (VCE)…
This article reclaims mathematics from the measures of profit and control by first presenting an anarchist analysis of mathematics' status quo societal uses and pedagogic activities. From this analysis, a vision for an anarchist math education is developed, as well as suggestions for how government school practitioners sympathetic to anarchism can…
Hemmi, Kirsti; Ryve, Andreas
This article explores effective mathematics teaching as constructed in Finnish and Swedish teacher educators' discourses. Based on interview data from teacher educators as well as data from feedback discussions between teacher educators and prospective teachers in Sweden and Finland, the analysis shows that several aspects of the recent…
African Journal of Educational Studies in Mathematics and Sciences. ... The level of detail varies; some disciplines produce manuscripts that comprise discrete .... Duplicate publication, sometimes called self-plagiarism, occurs when an author ...
Fonger, Nicole L.; Stephens, Ana; Blanton, Maria; Isler, Isil; Knuth, Eric; Gardiner, Angela Murphy
Learning progressions have been demarcated by some for science education, or only concerned with levels of sophistication in student thinking as determined by logical analyses of the discipline. We take the stance that learning progressions can be leveraged in mathematics education as a form of curriculum research that advances a linked…
Byun, JaeHwan; Joung, Eunmi
Digital games (e.g., video games or computer games) have been reported as an effective educational method that can improve students' motivation and performance in mathematics education. This meta-analysis study (a) investigates the current trend of digital game-based learning (DGBL) by reviewing the research studies on the use of DGBL for…
ter Vrugte, Judith; de Jong, Anthonius J.M.; Vandercruysse, Sylke; Wouters, Pieter; van Oostendorp, Herre; Elen, Jan
The present study addresses the effectiveness of an educational mathematics game for improving proportional reasoning in students from prevocational education. Though in theory game-based learning is promising, research shows that results are ambiguous and that we should look into ways to support
Tsai, Tsung-Lung; Li, Hui-Chuan
Over the past few decades, researchers, policy makers, educators and the general public, who have an interest in mathematics education in different countries, pay a great deal of attention to the results from international comparative studies. Of great interest to the international studies is the results of Eastern students consistently achieving…
Moore, Will H
Political science and sociology increasingly rely on mathematical modeling and sophisticated data analysis, and many graduate programs in these fields now require students to take a ""math camp"" or a semester-long or yearlong course to acquire the necessary skills. Available textbooks are written for mathematics or economics majors, and fail to convey to students of political science and sociology the reasons for learning often-abstract mathematical concepts. A Mathematics Course for Political and Social Research fills this gap, providing both a primer for math novices in the social s
Rowlands, Stuart; Graham, Ted; Berry, John
Many constructivists tag as `absolutist' references to mathematics as an abstract body of knowledge, and stake-out the moral high-ground with the argument that mathematics is not only utilised oppressively but that mathematics is, in-itself, oppressive. With much reference to Ernest's (1991) Philosophy of Mathematics Education this tag has been justified on the grounds that if mathematics is a social-cultural creation that is mutable and fallible then it must be social acceptance that confers the objectivity of mathematics. This paper argues that mathematics, albeit a social-cultural creation that is mutable and fallible, is a body of knowledge the objectivity of which is independent of origin or social acceptance. Recently, Ernest (1998) has attempted to express social constructivism as a philosophy of mathematics and has included the category of logical necessity in his elaboration of the objectivity of mathematics. We argue that this inclusion of logical necessity not only represents a U-turn, but that the way in which Ernest has included this category is an attempt to maintain his earlier position that it is social acceptance that confers the objectivity of mathematics.
Article provides a brief overview of sociolinguistics for educational researchers, describes the relevance of sociolinguistics for understanding classroom discourse, and suggests ways to measure the adequacy of sociolinguistic studies. (RB)
... DEPARTMENT OF EDUCATION Education Research and Special Education Research Grant Programs; Institute of Education Sciences; Overview Information; Education Research and Special Education Research.... SUMMARY: The Director of the Institute of Education Sciences (Institute) announces the Institute's FY 2012...
Full Text Available Singapore’s Education System has evolved over time and so has Mathematics Education in Singapore. The present day School Mathematics Curricula can best be described as one that caters for the needs of every child in school. It is based on a framework that has mathematical problem solving as its primary focus. The developments from 1946 to 2012 that have shaped the present School Mathematics Curricula in Singapore are direct consequences of developments in the Education System of Singapore during the same period. The curriculum, teachers, leaners and the learning environment may be said to contribute towards Singapore’s performance in international benchmark studies such as TIMSS and PISA.
Odell, Michael R. L.
Educational technology is facilitating new approaches to teaching and learning science, technology, engineering, and mathematics (STEM) education. Cognitive research is beginning to inform educators about how students learn providing a basis for design of more effective learning environments incorporating technology. At the same time, access to computers, the Internet and other technology tools are becoming common features in K-20 classrooms. Encouraged by these developments, STEM educators are transforming traditional STEM education into active learning environments that hold the promise of enhancing learning. This document illustrates the use of technology in STEM education today, identifies possible areas of development, links this development to the NASA Strategic Plan, and makes recommendations for the Kennedy Space Center (KSC) Education Office for consideration in the research, development, and design of new educational technologies and applications.
This study was based on research and development design. The main purposes of this study were to develop an instructional process for enhancing mathematical literacy among students in secondary school and to study the effects of the developed instructional process on mathematical literacy. The instructional process was developed by analyzing and synthesizing realistic mathematics education and the DAPIC problem-solving process. The developed instructional process was verified by experts and was trialed. The designated pre-test/post-test control method was used to study the effectiveness of the developed instructional process on mathematical literacy. The sample consisted of 104 ninth grade students from a secondary school in Bangkok, Thailand. The developed instructional process consisted of five steps, namely (1 posing real life problems, (2 solving problems individually or in a group, (3 presenting and discussing, (4 developing formal mathematics, and (5 applying knowledge. The mathematical literacy of the experimental group was significantly higher after being taught through the instructional process. The same results were obtained when comparing the results of the experimental group with the control group.
This report summarizes research conducted at the Institute for Computer Applications in Science and Engineering in applied mathematics, fluid mechanics, and computer science during the period October 1, 1998 through March 31, 1999.
This report summarizes research conducted at the Institute for Computer Applications in Science and Engineering in applied mathematics, fluid mechanics, and computer science during the period April 1, 1995 through September 30, 1995.
The 1988 progress report of the Mathematics center (Polytechnic School, France), is presented. The Center is composed of different research teams: analysis, Riemann geometry, group theory, formal calculus and algorithm geometry, dynamical systems, topology and singularity. For each team, the members, the research topics, the national and international cooperations, are given. The papers concerning the investigations carried out in 1988, are listed [fr
Onal, Halil; Inan, Mehmet; Bozkurt, Sinan
The aim of this research is to examine the mathematical thinking skills of licensed athletes engaged in individual and team sports. The research is designed as a survey model. The sample of the research is composed of 59 female and 170 male licensed athletes (n = 229) and (aged 14 to 52) licensed who do the sports of shooting, billiards, archery,…
Based on a variety of philosophical approaches and my own work for decades in pure and applied mathematics teaching and research, I explain my view upon the basic difficulties of acquiring the “Mathematical Experience” (in the sense of P.J. Davis and R. Hersh 1981) and submit a list of claims how...
Novak, Joseph D.
Reviews the basic precepts of the learning theories of Piaget and Ausubel. Although Piaget is credited for his contributions to educational psychology, the author supports Ausubel's theory of meaningful learning as more significant for future contributions in science and mathematics education. (CP)
Greenseid, Lija O.; Lawrenz, Frances
This study explores the use of citation analysis methods to assess the influence of program evaluations conducted within the area of science, technology, engineering, and mathematics (STEM) education. Citation analysis is widely used within scientific research communities to measure the relative influence of scientific research enterprises and/or…
Gillard, Ellen; Van Dooren, Wim; Schaeken, Walter; Verschaffel, Lieven
Research in the psychology of mathematics education has been confronted with the fact that people blatantly fail to solve tasks they are supposed to be able to solve correctly given their available domain-specific knowledge and skills. Also researchers in cognitive psychology have encountered such phenomena. In this paper, theories that have been…
Mahendra, Rengga; Slamet, Isnandar; Budiyono
One of the difficulties of students in learning mathematics is on the subject of geometry that requires students to understand abstract things. The aim of this research is to determine the effect of learning model Problem Posing and Problem Solving with Realistic Mathematics Education Approach to conceptual understanding and students' adaptive reasoning in learning mathematics. This research uses a kind of quasi experimental research. The population of this research is all seventh grade students of Junior High School 1 Jaten, Indonesia. The sample was taken using stratified cluster random sampling technique. The test of the research hypothesis was analyzed by using t-test. The results of this study indicate that the model of Problem Posing learning with Realistic Mathematics Education Approach can improve students' conceptual understanding significantly in mathematics learning. In addition tu, the results also showed that the model of Problem Solving learning with Realistic Mathematics Education Approach can improve students' adaptive reasoning significantly in learning mathematics. Therefore, the model of Problem Posing and Problem Solving learning with Realistic Mathematics Education Approach is appropriately applied in mathematics learning especially on the subject of geometry so as to improve conceptual understanding and students' adaptive reasoning. Furthermore, the impact can improve student achievement.
Gravemeijer, K.P.E.; Damlamian, A.; Rodigues, J.F.; Sträßer, R.
Starting point for this chapter is that societal changes ask for adaptations of a foundational mathematics curriculum for all. This chapter especially looks at the effects of information technology and globalization on the job market and employability with an eye on its consequences for the goals of
The theme of the doctoral dissertation falls within the scope of didactics of physics. Theoretical analysis of the key constraints that occur in the transmission of mathematical modeling of dynamical systems into field of physics education in secondary schools is presented. In an effort to explore the extent to which current physics education promotes understanding of models and modeling, we analyze the curriculum and the three most commonly used textbooks for high school physics. We focus primarily on the representation of the various stages of modeling in the solved tasks in textbooks and on the presentation of certain simplifications and idealizations, which are in high school physics frequently used. We show that one of the textbooks in most cases fairly and reasonably presents the simplifications, while the other two half of the analyzed simplifications do not explain. It also turns out that the vast majority of solved tasks in all the textbooks do not explicitly represent model assumptions based on what we can conclude that in high school physics the students do not develop sufficiently a sense of simplification and idealizations, which is a key part of the conceptual phase of modeling. For the introduction of modeling of dynamical systems the knowledge of students is also important, therefore we performed an empirical study on the extent to which high school students are able to understand the time evolution of some dynamical systems in the field of physics. The research results show the students have a very weak understanding of the dynamics of systems in which the feedbacks are present. This is independent of the year or final grade in physics and mathematics. When modeling dynamical systems in high school physics we also encounter the limitations which result from the lack of mathematical knowledge of students, because they don't know how analytically solve the differential equations. We show that when dealing with one-dimensional dynamical systems
Full Text Available Usually children learn the basic principles of number and arithmetic by the help of finger-based representations. However, whether the reliance on finger-based representations is only beneficial or whether it may even become detrimental is the subject of an ongoing debate between neuro-cognitive and mathematics education researchers. From the neuro-cognitive perspective finger counting provides multi-sensory input conveying both cardinal and ordinal aspects of numbers. Recent data indicate that children with good finger-based numerical representations show better arithmetic skills and that training finger gnosis enhances mathematical skills. From this neuro-cognitive researchers conclude that elaborate finger-based numerical representations are beneficial for later numerical development.However, mathematics education research recommends fostering mental numerical representations so as to induce children to abandon finger-counting. More precisely mathematics education recommends moving from finger counting to concrete structured representations and then, finally, to mental representations of numbers.Taken together, there is obviously an important debate between the neuro-cognitve and mathematics education research concerning the benefits or detriments of finger-based strategies for numerical development. In the present review, the rationale of both lines of evidence will be presented and discussed.
de Graaff, Erik
Over the past years, the European Journal of Engineering Education (EJEE), the journal of the European Society for Engineering Education (SEFI) developed as a more research oriented journal. Bibliometric analyses show that EJEE keeps pace with other leading journals in the field of Engineering...... Education in most respects. EJEE serves a worldwide audience with about as many contributions from Europe as from other parts of the world. Yet, the impact factor of the journal calculated according to the formula of Thomson's ISI Web of Science seems to be lagging behind. As an explanation...
Neivaldo Oliveira Silva
Full Text Available Our main intention with this theoretical construct is to understand the mathematics education embedded in the social context to which it belongs and where different groups are present with their beliefs, knowledge, practices that, in turn, are the result of a historical process, in which changes occur and affect most of the different fields ofIcnowledge.In the theoretical construction, we start from a more general picture of the world and society, focusing on the historical and social changes and, at the same time, in changes in the scope of mathematical knowledge. We do this through a historical analysis and, along the way, we seek to understand culture, Mathematics and Mathematics Education, as fields or dimensions present in this broader context of historical changes, and seek to establish relationships between thesefields or areas of knowledge, in the context of their productions. ln seeking to understand "culture", we try not to lose sight of the social dynamics that are established in the contacts between different groups, each with characteristics that involve traditions, artistic manifestations, culinary language, but surrounded by a society that results from a globalization process getting stronger. It is in this broader context that we seek to understand mathematics, as a field of knowledge, making an analysis that goes from its origin as well as its implications with reality and society, so that to the end, we present and discuss the Ethnomathematics as a possible alternative to do or to understand the articulation pointed out. Finally, we extend the discussion to understand the mathematics education, in view of its social integration, and the socialization perspective of the mathematical knowledge. We realized that mathematics education, seen as a field of knowledge and considering the need for socialization of this knowledge, is also the result of practices developed and a comprehensive process of change that has been occurring in
Full Text Available In the process of reaching a medium income country, science, mathematics and technology have become an emphasis of Ethiopia. But, currently, students' interest to study mathematics and ability in mathematics is declining. This study therefore aimed to investigate the prevalence of mathematics anxiety and its effect on students' current mathematics achievement. Additionally, by grounding on the literature, some strategies supposed to reduce the negative effects of math anxiety were identified for practice. The study was conducted on five randomly selected public secondary schools of East Shoa Zone in Oromia region. Math anxiety was measured using a validated instrument called Math Anxiety Rating Scale (MARS, whereas students' current mathematics achievement was measured using achievement test. Structural model was developed to examine causal relationship of the variables treated in the study. The finding revealed that there was a significant negative relationship between mathematics anxiety and achievement. There was also a statistically significant gender difference in mathematics anxiety and current math achievement, with effect size small and typical respectively. Based on the findings of the study, imperative implication for practice and future research were made.
This paper presents the summaries of the MCTP Summer Research Internship Program. Technological areas discussed include: Mathematical curriculum development for real world problems; Rain effects on air-water gas exchange; multi-ring impact basins on mars; developing an interactive multimedia educational cd-rom on remote sensing; a pilot of an activity for for the globe program; fossils in maryland; developing children's programming for the american horticultural society at river farm; children's learning, educational programs of the national park service; a study of climate and student satisfaction in two summer programs for disadvantaged students interested in careers in mathematics and science; the maryland governor's academy, integrating technology into the classroom; stream sampling with the maryland biological stream survey (MBSS); the imaging system inspection software technology, the preparation and detection of nominal and faulted steel ingots; event-based science, the development of real-world science units; correlation between anxiety and past experiences; environmental education through summer nature camp; enhancing learning opportunities at the Salisbury zoo; plant growth experiment, a module for the middle school classroom; the effects of proxisome proliferators in Japanese medaka embryos; development of a chapter on birth control and contraceptive methodologies as part of an interactive computer-based education module on hiv and aids; excretion of gentamicin in toadfish and goldfish; the renaissance summer program; and Are field trips important to the regional math science center?
Clark, Aaron C.; Ernst, Jeremy
This study assesses the use of gaming to teach Science, Technology, Engineering, and Mathematics (STEM) in public education. The intent of the investigation was to identify attitudes about gaming and its use in education, as well as the need to utilize gaming as a platform to serve as an integrator of STEM subject matter. Participants included…
Montecino, Alex; Valero, Paola
The research fabricates an image of mathematics teachers, which shape our knowledge and truths about teachers. This image sustains the development of different discursive formations. The image’s configuration is entangled with spatio-temporal conditions, which are shaped by diverse social, cultural...... and political contexts. In this work, we are studying discourses —about the mathematics teacher that are circulating in the research— from some theoretical toolbox of Foucault (1980) and Deleuze (1994) and from the methodological toolbox of Pais and Valero (2012). We are seeking to explore how discourses...... are operating in the fabrication of the mathematics teacher as a subject and in the production of truths about them....
Ranti Mustika Sari; Zubaidah Amir M. Z.; Risnawati Risnawati
This research aimed at developing, producing a valid and practical students' workbook Realistic Mathematic Education Approach Based and facilitating student mathematic representing ability on Systems of Linear Equations in Two Variables material.The method of this research was a Research and Development (R&D) through the development of 4-D (Define, Design, Develop, and Disseminate) Model.This research was administered at State Junior High School 2 Pasir Penyu.The subjects of this research...
Isoda, Masami; Stephens, Max
In Before It''s Too Late: A Report to the Nation from the National Commission on Mathematics and Science Teaching for the 21st Century (2000) in the US, the authors quote from James Stigler''s conclusions from various videotape research studies of mathematics teaching: "The key to long-term improvement [in teaching] is to figure out how to generate, accumulate, and share professional knowledge". Japanese Lesson Study has proved to be one successful means. This book supports the growing movement of lesson study to improve the quality of mathematics education from the original viewpoints of Japanese educators who have been engaging in lesson study in mathematics for professional development and curriculum implementation. This book also illustrates several projects related to lesson study in other countries.
Fried, Michael N.
The first goal of this article to show the profound difference between how equality and similarity are understood in Greek geometry and how they are presented in modern mathematics classes. It highlights that the formula "equal-and-similar" reflects the distinct character of "equal" and "similar" as signs in Greek…
The aim of this paper was to demonstrate how genealogy can be used as a method for critical education research. As Foucault emphasized, genealogy is a method for identifying the way in which the individuals are subjectified through discourse. The genealogical analysis in the article defines two mayor tendencies in contemporary Danish pedagogy:…
Alirio José Abreu Suarez
Full Text Available This essay is a theoretical reflection about ethics in educational research. The same is done under a documentary approach with a literature review. Ethics in teaching is important because this is a reference for all undergraduate or graduate, as well as the need to consider education authorities at different levels and modalities in order to guide the actors in the educational process. At the same time, it can be expressed that the issue will serve as background for further studies and investigations that have to do with the issues raised. It also provides basic elements for teachers who want to make some related ethical codes, principles and injury caused the researcher studies. Similarly, ethics for being a discipline where are immersed fundamental human values such as honesty, solidarity, respect, tolerance among other aspects must be taken into account by researchers. Finally, it is worth noting that if you really want relevant research to provide new knowledge seeking social and educational transformation must begin with ethics as a relevant factor during all stages of a study.
The aim of this paper was to demonstrate how genealogy can be used as a method for critical education research. As Foucault emphasized, genealogy is a method for identifying the way in which the individuals are subjectified through discourse. The genealogical analysis in the article defines two...
Zulkardi, Z.; Nieveen, N.M.; van den Akker, Jan; de Lange, Jan
This paper reports on the results of a four-year study called CASCADE-IMEI that is a learning environment (LE) in the form of a face-to-face course and a web site (www.clix.to/zulkardi ) which aims to introduce Realistic Mathematics Education (RME), Dutch approach to mathematics education, as an
Dolk, M.L.A.M.; Hertog, den J.B.; Gravemeijer, K.P.E.
The overarching goal of this chapter is to better understand how multimedia video case studies can support the professionalization of primary-school-mathematics teacher educators. We investigate the use of multimedia cases to support teacher educators in learning to mathematize and didactize and to
Misfeldt, Morten; Johansen, Mikkel Willum
mathematicians select and pose problems and discuss to what extent our results can be used to inform, criticize, and develop educational practice at various levels. Selecting and posing problems is far from simple. In fact, it is considered hard, complex, and of crucial importance. A number of criteria...
Global Journal of Education Research is aimed at promoting research in all areas of ... curriculum development, educational technology, foundation, administration etc. ... Innovative practices in science education: a panacea for improving ...
M. A. Choshanov
Full Text Available The paper looks at the mathematical education in Russian schools regarded not long ago as fundamental and based on developing students' mental abilities. However, the analysis of the Trends in International Mathematics and Science Study (TIMSS 2011 demonstrates the non-consistent results in mathematical achievements of young Russians over the last fifteen years referring to the decreasing rate of successfully solved high level problems. The author disapproves of mechanical duplication of any foreign experience contradicting the Russian realities. Meanwhile, a lot of people in the USA and elsewhere abroad realize that national security is closely related to the human capital, which directly depends on education. The publication considers the limitations of mathematical education both in Russia and the USA from the national security stand point.The author gives the comparative analysis of the system errors in mathematical education of the USA, and singles out the ones to be avoided: the residual investment into the human capital, rising gap between the school mathematics and mathematical science, degrading fundamentality of mathematical education, test drills instead of in-depth training, non-consistency of school reorganization, reduced academic hours, etc. In the author’s opinion, the negative foreign experience should be considered in order to meet the time requirements and preserve a unique Russian brand of the high quality mathematical education.
Proceedings of the Annual Meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education (16th, Baton Rouge, Louisiana, November 5-8, 1994). Volume 2: Research Papers, Oral Reports, and Posters (Continued).
Kirshner, David, Ed.
This PME-NA proceedings volume contains the full text of 41 research papers. In addition, brief usually one-page reports, are provided for 11 oral presentations and 13 poster sessions. The full research reports are as follows: "Cognitive Analysis of Chinese Students' Mathematical Problem Solving" (J. Cai and E. A. Silver); (2)…
Gardiner, D.A.; Lever, W.E.; Shepherd, D.E.; Ward, R.C.; Wilson, D.G.
This report is the twenty-first of a series of annual reports dating back to the February 28, 1957, report of the ORNL Mathematics Panel. The current report is divided into five parts: Mathematical and Statistical Research, Statistical and Mathematical Collaboration, Educational Activities, Presentations of Research Results, and Professional Activities. The section entitled Mathematical and Statistical Research contains summaries of the research conducted on Moving Boundary Problems, Multivariate Multipopulation Classification, Numerical Linear Algebra, Statistical Model Development and Evaluation, Materials Science Applications, Biomedical and Environmental Applications, and Complementary Areas. Recorded under Statistical and Mathematical Collaboration are brief accounts of consulting and collaboration with other scientists and engineers in the Nuclear Division of Union Carbide Corporation. These are in the areas of Analytical Chemistry, Biology, Chemistry and Physics, Engineering, Environmental Sciences, Materials Sciences, Security and Communication, and Uranium Resource Evaluation. The Educational Activities section contains descriptions of symposia, workshops, seminar series, short courses, lectures, and student and faculty participation in which the staff was engaged during the report period. The last two parts of the report list the staff's publications and oral presentations as well as its participation in the activities of professional societies and academic institutions. The summaries given here are quite brief; completed work is published in journals or reports as appropriate. 7 figures, 8 tables
Gardiner, D.A.; Lever, W.E.; Shepherd, D.E.; Ward, R.C.; Wilson, D.G. (comps.)
This report is the twenty-first of a series of annual reports dating back to the February 28, 1957, report of the ORNL Mathematics Panel. The current report is divided into five parts: Mathematical and Statistical Research, Statistical and Mathematical Collaboration, Educational Activities, Presentations of Research Results, and Professional Activities. The section entitled Mathematical and Statistical Research contains summaries of the research conducted on Moving Boundary Problems, Multivariate Multipopulation Classification, Numerical Linear Algebra, Statistical Model Development and Evaluation, Materials Science Applications, Biomedical and Environmental Applications, and Complementary Areas. Recorded under Statistical and Mathematical Collaboration are brief accounts of consulting and collaboration with other scientists and engineers in the Nuclear Division of Union Carbide Corporation. These are in the areas of Analytical Chemistry, Biology, Chemistry and Physics, Engineering, Environmental Sciences, Materials Sciences, Security and Communication, and Uranium Resource Evaluation. The Educational Activities section contains descriptions of symposia, workshops, seminar series, short courses, lectures, and student and faculty participation in which the staff was engaged during the report period. The last two parts of the report list the staff's publications and oral presentations as well as its participation in the activities of professional societies and academic institutions. The summaries given here are quite brief; completed work is published in journals or reports as appropriate. 7 figures, 8 tables.
Full Text Available By taking the role as a mentor and a facilitator, a teacher in the 4th grade of elementary school needs to look at the condition of the students in the concrete thinking stage. Learning process needs to be adjusted such that the abstract objects in mathematics can be represented through concrete objects as a bridge to enter the knowledge that the students already had, especially for the material of fraction. This research aims to analyze the achievement and the improvement of students’ mathematics reasoning ability through the implementation of Indonesian realistic mathematics education (PMRI approach. The research subject consisted of 51 students in the experiment group and 45 students in the control group which categorized into three levels (low, intermediate, and high. The result suggests that the achievement and the improvement of students’ reasoning ability in the mathematics learning using PMRI approach are better than the conventional learning.
Yuliya V. Vainshtein
Full Text Available Modern trends in the world electronic educational system development determine the necessity of adaptive learning intellectual environments and resources’ development and implementation. An upcoming trend in improvement the quality of studying mathematical disciplines is the development and application of adaptive electronic educational resources. However, the development and application experience of adaptive technologies in higher education is currently extremely limited and does not imply the usage flexibility. Adaptive educational resources in the electronic environment are electronic educational resources that provide the student with a personal educational space, filled with educational content that “adapts” to the individual characteristics of the students and provides them with the necessary information.This article focuses on the mathematical educational content adaptation algorithms development and their implementation in the e-learning system. The peculiarity of the proposed algorithms is the possibility of their application and distribution for adaptive e-learning resources construction. The novelty of the proposed approach is the three-step content organization of the adaptive algorithms for the educational content: “introductory adaptation of content”, “the current adaptation of content”, “estimative and a corrective adaptation”. For each stage of the proposed system, mathematical algorithms for educational content adaptation in adaptive e-learning resources are presented.Due to the high level of abstraction and complexity perception of mathematical disciplines, educational content is represented in the various editions of presentation that correspond to the levels of assimilation of the course material. Adaptation consists in the selection of the optimal edition of the material that best matches the individual characteristics of the student. The introduction of a three-step content organization of the adaptive
Professor Stephen Lerman has been a leader in the field of mathematics education for thirty years. His work is extensive, making many significant contributions to a number of key areas of research. Stephen retired from South Bank University in 2012, where he had worked for over 20 years, though he continues to work at Loughborough University. In this book several of his long standing colleagues and collaborators reflect on his contribution to mathematics education, and in so doing illustrate how some of Steve's ideas and interventions have resulted in significant shifts in the domain.
Pais, Alexandre; Valero, Paola
Paper presented at the International conference on Mathematics Education and Contemporary Theory. Manchester, 17-19 July.......Paper presented at the International conference on Mathematics Education and Contemporary Theory. Manchester, 17-19 July....
Jacobson, Erik; Simpson, Amber
Replication studies play a critical role in scientific accumulation of knowledge, yet replication studies in mathematics education are rare. In this study, the authors replicated Thanheiser's (Educational Studies in Mathematics 75:241-251, 2010) study of prospective elementary teachers' conceptions of multidigit number and examined the main claim that most elementary pre-service teachers think about digits incorrectly at least some of the time. Results indicated no statistically significant difference in the distribution of conceptions between the original and replication samples and, moreover, no statistically significant differences in the distribution of sub-conceptions among prospective teachers with the most common conception. These results suggest confidence is warranted both in the generality of the main claim and in the utility of the conceptions framework for describing prospective elementary teachers' conceptions of multidigit number. The report further contributes a framework for replication of mathematics education research adapted from the field of psychology.
Weisstein, Anton E.
The patterns of variation within a molecular sequence data set result from the interplay between population genetic, molecular evolutionary and macroevolutionary processes—the standard purview of evolutionary biologists. Elucidating these patterns, particularly for large data sets, requires an understanding of the structure, assumptions and limitations of the algorithms used by bioinformatics software—the domain of mathematicians and computer scientists. As a result, bioinformatics often suffers a ‘two-culture’ problem because of the lack of broad overlapping expertise between these two groups. Collaboration among specialists in different fields has greatly mitigated this problem among active bioinformaticians. However, science education researchers report that much of bioinformatics education does little to bridge the cultural divide, the curriculum too focused on solving narrow problems (e.g. interpreting pre-built phylogenetic trees) rather than on exploring broader ones (e.g. exploring alternative phylogenetic strategies for different kinds of data sets). Herein, we present an introduction to the mathematics of tree enumeration, tree construction, split decomposition and sequence alignment. We also introduce off-line downloadable software tools developed by the BioQUEST Curriculum Consortium to help students learn how to interpret and critically evaluate the results of standard bioinformatics analyses. PMID:23821621
Jungck, John R; Weisstein, Anton E
The patterns of variation within a molecular sequence data set result from the interplay between population genetic, molecular evolutionary and macroevolutionary processes-the standard purview of evolutionary biologists. Elucidating these patterns, particularly for large data sets, requires an understanding of the structure, assumptions and limitations of the algorithms used by bioinformatics software-the domain of mathematicians and computer scientists. As a result, bioinformatics often suffers a 'two-culture' problem because of the lack of broad overlapping expertise between these two groups. Collaboration among specialists in different fields has greatly mitigated this problem among active bioinformaticians. However, science education researchers report that much of bioinformatics education does little to bridge the cultural divide, the curriculum too focused on solving narrow problems (e.g. interpreting pre-built phylogenetic trees) rather than on exploring broader ones (e.g. exploring alternative phylogenetic strategies for different kinds of data sets). Herein, we present an introduction to the mathematics of tree enumeration, tree construction, split decomposition and sequence alignment. We also introduce off-line downloadable software tools developed by the BioQUEST Curriculum Consortium to help students learn how to interpret and critically evaluate the results of standard bioinformatics analyses.
Full Text Available The changes in society require revision of the content of higher education. Mathematics as a classical subject has played an important part in higher education until now, especially in engineering education. The introduction of mathematics IT programmes (MathCad, MathLab, Matematica, Maple… in labour market caused the reduction of the practical application of the classical mathematics, therefore it is important to draw attention to the development of mathematical competences. The theoretical part of the paper deals with the notion of competence, its aspects and types, considers the question of the essence of mathematics, examines general competences driven teaching of mathematics, describes organisational model underlying the curriculum in mathematics that is based on the division of the content of mathematics into levels. The paper describes the main issues of the development of teaching of mathematics discussed by European mathematicians (SEFI Math Working Group. The paper presents the results of the ERDF project “Cross-border network for adapting mathematical competences in the socio-economic development (MatNet”, which
Suter, Larry E.
The international comparative studies in 1959 were conducted by International Association for the Evaluation of Educational Achievement (IEA) researchers who recognized that differences in student achievement measures in mathematics across countries could be caused by differences in curricula. The measurements of opportunity to learn (OTL) grew…
Drijvers, P.H.M.; Ball, Lynda; Barzel, Barbel; Heid, M. Kathleen; Cao, Yiming; Maschietto, Michela
This topical survey provides an overview of the current state of the art in technology use in mathematics education, including both practice-oriented experiences and research-based evidence, as seen from an international perspective. Three core themes are discussed: Evidence of effectiveness;
Treagust, David F.
This article is presented in four parts. In the first part, I describe the foundation of the Science and Mathematics Education Centre (SMEC) at Curtin University. In the second part, I explain the development of SMEC's teaching and research capacity under its three directors. In the third section, I describe how federal government support of SMEC…
The integration of digital technology confronts teachers, educators and researchers with many questions. What is the potential of ICT for learning and teaching, and which factors are decisive in making it work in the mathematics classroom? To investigate these questions, six cases from leading
Escalera-Chávez, Milka Elena; García-Santillán, Arturo; Córdova-Rangel, Arturo; González-Gómez, Santiago; Tejada-Peña, Esmeralda
The aim of this research work is to analyze whether there is a difference in the degree of anxiety towards mathematics among students of different educational levels. The study is not experimental and cross sectional, and it is based on difference of means between groups. The sample is not probabilistic, and consisted of 226 students from…
Andrews, Paul; Diego-Mantecón, Jose
Much comparative research into education-related beliefs has exploited questionnaires developed in one culture for use in another. This has been particularly the case in mathematics education, the focus of this paper. In so doing, researchers have tended to assume that translation alone is sufficient to warrant a reliable and valid instrument for…
Herbel-Eisenmann, Beth A.; Wagner, David; Johnson, Kate R.; Suh, Heejoo; Figueras, Hanna
We develop theory within the field of mathematics education based on analysis of an imported theory--positioning theory--and the way it is used in the field. After summarizing positioning theory, we identify some conceptual fuzziness, particularly in core terms "positioning" and "storyline." We offer Lemke's idea of timescales…
Daugherty, Jenny L.; Reese, George C.; Merrill, Chris
A brief examination and comparison of mathematics and technology education provides the background for a discussion of integration. In particular, members of each field have responded to the increasing pressures to better prepare students for the technologically rich, globally competitive future. Approaches based within each discipline are varied…
Professional identities may be viewed as narrative constructions in social situations but personal experiences and beliefs are fundamental influences in their development. Within Further Education colleges in England, mathematics teachers are typically expected to fulfil multiple roles, teaching a wide range of curricula and age groups, and this…
Terwel, J.; Stéphan Vincent-Lancrin, S.; Kiira Kärkkäinen, K.; Francesco Avvisati, F.
One of the main questions in this paper is: ‘Should knowledge be provided or generated in mathematics education?’ In trying to respond on this fundamental question it became clear that this dichotomy is not fruitful. Therefore we looked for a third way in which guided cooperative learning was a
To overcome inadequate funding of public schools, the introduction of education tax has been suggested in literature. This paper analysed the effects of such tax on private schools using mathematical models, and highlighted the ways for achieving the smooth functioning of the system. Three case senerios were studied: ...
Talisayon, Vivien M.
Compares policies and programs on computers in science and mathematics education in the six ASEAN countries: Brunei, Indonesia; Malaysia, Philippines, Singapore, and Thailand. Limits discussion to the computer as a teaching aid and object of study, attendant problems, and regional cooperation. (MVL)
Pepin, Birgit; Choppin, Jeffrey; Ruthven, Kenneth; Sinclair, Nathalie
In this conceptual review paper we draw on recent literature with respect to digital curriculum resources (DCR); we briefly outline and explain selected theoretical frames; and we discuss issues related to the design, and the use (by teachers and students) of digital curricula and e-textbooks in mathematics education. The results of our review…
Bakker, Arthur; Smit, Jantien; Wegerif, Rupert
This article has two purposes: firstly to introduce this special issue on scaffolding and dialogic teaching in mathematics education and secondly to review the recent literature on these topics as well as the articles in this special issue. First we define and characterise scaffolding and dialogic teaching and provide a brief historical overview…
Romberg, Thomas A.
Merlin C. Wittrock was a friend and colleague who influenced me and many other contemporary mathematics educators on how students learn. In this article I summarize my interactions with Merl beginning in 1965, and how over the following half-century he influenced my thinking on student learning for understanding and, in turn, on how to design…
Whereas there has been considerable advancement in the last few decades with regard to theories and practices in mathematics education from a critical perspective, very little is known about what it means to prepare teachers for such approaches. In this article I undertake a retrospective, reflexive analysis of my praxis as ...
The use of computers and technology in mathematics education affects students' learning, achievements, and affective dimensions. This study explores prospective Turkish primary mathematics teachers' views about the use of computers in mathematics education. The sample comprised of 129 fourth-year prospective primary mathematics teachers from two…
Buchheister, Kelley; Jackson, Christa; Taylor, Cynthia E.
Traditionally, teacher education programs have placed little emphasis on preparing mathematics teachers to work with students who struggle in mathematics. Therefore, it is crucial that mathematics teacher educators explicitly prepare prospective teachers to instruct students who struggle with mathematics by providing strategies and practices that…
Sagirli, Meryem Özturan
This study aimed to evaluate a newly introduced elective course "Drama in Mathematics Education" into mathematics education curriculum from the viewpoints of pre-service mathematics teachers. A case study was employed in the study. The study group consisted of 37 pre-service mathematics teachers who were enrolled in a Turkish state…
Unlu, Melihan; Ertekin, Erhan; Dilmac, Bulent
The purpose of the research is to investigate the relationships betweenself-efficacy beliefs toward mathematics, mathematics anxiety and self-efficacybeliefs toward mathematics teaching, mathematics teaching anxiety variables andtesting the relationships between these variables with structural equationmodel. The sample of the research, which was conducted in accordance withrelational survey model, consists of 380 university students, who studied atthe department of Elementary Mathematics Educ...
The article gives an overview of research in gender and adult education and discusses the different approaches and strategies in critical research......The article gives an overview of research in gender and adult education and discusses the different approaches and strategies in critical research...
Luitel, Bal Chandra
The problem of culturally decontextualised mathematics education faced by Nepali students, teachers and teacher educators has often been oriented by the view of the nature of "mathematics as a body of pure knowledge," which gives rise to an exclusive emphasis on an ideology of singularity, epistemology of objectivism, language of…
Quinn presents a radical new perspective on the interrelationships between education and culture. Rather than viewing education in isolation from major cultural debates, she demonstrates how culture shapes education and education shapes culture. Cultural perspectives and rich empirical data from a wide range of research with learners in…
Schindler, Maike; Mackrell, Kate; Pratt, Dave; Bakker, A.
Schindler, M., Mackrell, K., Pratt, D., & Bakker, A. (2017). Applying contemporary philosophy in mathematics and statistics education: The perspective of inferentialism. In G. Kaiser (Ed.). Proceedings of the 13th International Congress on Mathematical Education, ICME-13
The 3 rd International Conference of Mathematics, Science, and Education (ICMSE) 2016 on Semarang, 3-4 September 2016 organized by Faculty of Mathematics and Natural Science, Semarang State University. ICMSE2016 provides a platform to the researchers, experts and practitioners from academia, governments, NGOs, research institutes, and industries to meet and share cutting-edge progress in the fields of mathematics and natural science. It is reflected in this year theme “Contribution of Mathematics and Science Research for Sustainable Life in Facing Global Challenge”. The scope of this conference are Mathematics, Biology, Chemistry, and Physics,We thank to the keynote speakers and all authors of the contributed papers, for the cooperation rendered to us in the publication of the conference proceedings. In particular, we would like to place on record our thanks to the expert reviewers who have spared their time reviewing the papers. We also highly appreciate the assistance offered by many volunteers in the preparation of the conference proceedings, and of course to the sponsors assisting in funding this conference, especially Research, Technology and Higher Education Ministry of Indonesia for supporting this conference.The committee selected 71 papers from 129 papers presented in this forum to be published in Journal of Physics: Conference Series (Institute of Physics Publisher) indexed by Scopus. We hope that this program will further stimulate research in Mathematics, Science, and Education; share research interest and information; and create a forum of collaboration and build trust relationship. We feel honored and privileged to serve the best recent developments in the field of Mathematics and Science Education to you through this exciting program.Chairperson,Dr. Margareta RahayuningsihCOMMITTEEInternational Scientific Advisory BoardEdy Cahyono ( Chemistry Department, State University of Semarang )Rahim Sahar ( Department of Physics, Universiti Teknologi
Hollings, C; Martin, UM; Rice, A
Ada, Countess of Lovelace, is remembered for a paper published in 1843, which translated and considerably extended an article about the unbuilt Analytical Engine, a general-purpose computer designed by the mathematician and inventor Charles Babbage. Her substantial appendices, nearly twice the length of the original work, contain an account of the principles of the machine, along with a table often described as “the first computer program”. In this paper we look at Lovelace’s education before...
Pabón Gómez, Jorge Angelmiro
Full Text Available The present article aims to analyze the competences of young researchers using Geogebra software; Allows to know the shared experience from a quasi-experimental research, in a sample of 27 students of the tenth grade of the educational institution José María Córdoba, 7 of whom were researchers of the proposal "Mathematics Divertida" of the research group "The Pythagoreans" Enrolled in the Swarm project led by the CUN, the purpose was to show the importance of introducing the student in the management of GEOGEBRA as a facilitating tool for the development of mathematical competences as it allows him to visualize and simulate real situations in a dynamic and interactive way; And in turn of the necessity of its incorporation to the curricular plans for the teaching of the mathematics. Results: The referent of the research proposal was the modeling of functions by means of which the student learned to represent mathematically the processes to follow in order to find solutions to a real life problem, besides acquiring the skill to represent the results obtained for A later interpretation and analysis of the results. Conclusion: The student acquired strengths and also detected weaknesses, improved the ability to face new educational realities.
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Scriven, Jolene D.
Based on the recommendations of seven business educators and administrators, suggestions for needed research are given in the categories of business education, administration, curriculum, teacher education, teaching methods, international business, and political implications. (SK)
Lowrie, Tom; Jorgensen, Robyn
This investigation explored the challenges of creating meaningful mathematics practices for a community engaged in Distance Education (DE). Specifically, the study maps the influence of new technologies on the practices of a learning community where mathematics was taught remotely. The theoretical framework of this study utilised Bourdieu's work on practice to consider the changed nature of the field, in this case, remote education provision, over time. By using Bourdieu's notion of field, we are better able to understand the ways in which practices and discourses shape particular ways of working in rural education provision. The results of the study show that Field 1 was innovative and beyond the non-school world, while Field 2 lagged behind the technological resources of the non-school world.
Triantafyllou, Eva; Timcenko, Olga
Our research effort presented in this talk relates with developing digital tools for mathematics education at undergraduate university level. It focuses specifically on studies where mathematics is not a core subject but it is very important in order to cope with core subjects. For our design, we...... feedback inspire the next round of design requirements for the development of digital tools that support mathematics teaching and learning at university level....... conducted observations of teachers and students during lectures and exercise time. During these observations we were able to investigate how the applets were used in practice but also to get insight in the challenges that the students face during mathematics learning. These findings together with student...
Full Text Available This research aims to develop a mathematics instructional model based realistic mathematics education (RME to promote students' problem-solving abilities. The design research used Plomp models, which consists of preliminary phase, development or proto-typing phase and assessment phase. At this study, only the first two phases conducted. The first phase, a preliminary investigation, carried out with a literature study to examine the theory-based instructional learning RME model, characteristics of learners, learning management descriptions by junior high school mathematics teacher and relevant research. The development phase is done by developing a draft model (an early prototype model that consists of the syntax, the social system, the principle of reaction, support systems, and the impact and effects of instructional support. Early prototype model contain a draft model, lesson plans, worksheets, and assessments. Tesssmer formative evaluation model used to revise the model. In this study only phase of one to one evaluation conducted. In the ppreliminary phase has produced a theory-based learning RME model, a description of the characteristics of learners in grade VIII Junior High School Padang and the description of teacher teaching in the classroom. The result showed that most students were still not be able to solve the non-routine problem. Teachers did not optimally facilitate students to develop problem-solving skills of students. It was recommended that the model can be applied in the classroom.
Mostofo, Jameel; Zambo, Ron
There is a continuing emphasis in the United States on improving students' mathematical abilities, and one approach is to better prepare teachers. To investigate the potential usefulness of Lesson Study to better prepare teachers, one author set out to conduct action research on his classroom practice. Specifically, he sought to determine whether…
Voetmann Christiansen, Frederik; May, Michael
types of registers. In the second part of the paper, we consider how diagrams in science are often composites of iconic and indexical elements, and how this fact may lead to confusion for students. In the discussion the utility of the Peircian semiotic framework for educational studies......, the typological mistake of considering graphs as images is discussed related to litterature, and two examples from engineering education are given. The educational implications for science and engineering are discussed, with emphasis on the need for students to work explicitly with conversions between different...... of representational forms in science is discussed, and how the objects of mathematics and science relate to their semiotic representations....
Dianne P. O' Leary; Tamara G. Kolda
We held a two and a half day workshop on Women of Applied Mathematics: Research and Leadership at the University of Maryland in College Park, Maryland, October 8--10, 2003. The workshop provided a technical and professional forum for eleven senior women and twenty-four early-career women in applied mathematics. Each participant committed to an outreach activity and publication of a report on the workshop's web site. The final session of the workshop produced recommendations for future action.
Full Text Available This study reports on an intervention that was aimed at improving the content knowledge of first-year intermediate-phase education students at a South African university. The study gives some insight into preservice teachers’ perceptions of an online programme for the development of mathematics common content knowledge for teachers of mathematics in the intermediate grades. The effectiveness of the intervention programme was analysed according to Shapiro’s evaluation criteria for intervention research. The findings show that there has been a positive shift in preservice teachers’ common content knowledge but that there is much room for further development. The student teachers found the programme to be of great benefit with regard to the development of their mathematics knowledge as well as their confidence as future teachers of mathematics. The findings highlighted their disturbingly limited knowledge of mathematics content knowledge and pointed to the responsibility of teacher education departments at universities to implement sufficient maths content courses that will address the status quo of poor mathematics teaching in South African primary schools. The authors conclude that the students need to spend much more time on ‘catching up’ before they become teachers.
Ayalon, Hanna; Livneh, Idit
We argue that between-country variations in the gender gap in mathematics are related to the level of educational system standardization. In countries with standardized educational systems both genders are exposed to similar knowledge and are motivated to invest in studying mathematics, which leads to similar achievements. We hypothesize that national examinations and between-teacher uniformity in covering major mathematics topics are associated with a smaller gender gap in a country. Based on Trends of International Mathematical and Science Study (TIMSS) 2003, we use multilevel regression models to compare the link of these two factors to the gender gap in 32 countries, controlling for various country characteristics. The use of national examinations and less between-teacher instructional variation prove major factors in reducing the advantage of boys over girls in mathematics scores and in the odds of excelling. Factors representing gender stratification, often analyzed in comparative gender-gap research in mathematics, are at most marginal in respect of the gap. Copyright © 2012 Elsevier Inc. All rights reserved.
Anchordoqui, Luis Alfredo
This textbook is intended to provide a foundation for a one-semester introductory course on the advanced mathematical methods that form the cornerstones of the hard sciences and engineering. The work is suitable for first year graduate or advanced undergraduate students in the fields of Physics, Astronomy and Engineering. This text therefore employs a condensed narrative sufficient to prepare graduate and advanced undergraduate students for the level of mathematics expected in more advanced graduate physics courses, without too much exposition on related but non-essential material. In contrast to the two semesters traditionally devoted to mathematical methods for physicists, the material in this book has been quite distilled, making it a suitable guide for a one-semester course. The assumption is that the student, once versed in the fundamentals, can master more esoteric aspects of these topics on his or her own if and when the need arises during the course of conducting research. The book focuses on two cor...
Degn Johansson, Troels
This paper lays out a concept of education-based research-the production of research knowledge within the framework of tertiary design education-as an integration of problem-based learning and research-based education. This leads to a critique of reflective practice as the primary way to facilitate...... learning at this level, a discussion of the nature of design problems in the instrumentalist tradition, and some suggestions as to how design studies curricula may facilitate education-based research....
Hinton, Christina; Fischer, Kurt W.
Education lacks a strong infrastructure for connecting research with educational practice and policy. The need for this linkage grows as findings in cognitive science and biology become ever more relevant to education. Teachers often lack the background knowledge needed to interpret scientific results, whereas scientists often lack an…
Students do not pursue careers in science, technology, engineering, or mathematics (STEM) because of a lack of ability, but rather a lack of positive experiences with mathematics. Research has concluded that attitudes in math directly influence success in mathematics. As many as 75% of high school graduates in the United States suffer from mild to…
Noorloos, Ruben; Taylor, Samuel D.; Bakker, Arthur; Derry, Jan
The purpose of this article is to draw the attention of mathematics education researchers to a relatively new semantic theory called inferentialism, as developed by the philosopher Robert Brandom. Inferentialism is a semantic theory which explains concept formation in terms of the inferences individuals make in the context of an intersubjective practice of acknowledging, attributing, and challenging one another's commitments. The article argues that inferentialism can help to overcome certain problems that have plagued the various forms of constructivism, and socioconstructivism in particular. Despite the range of socioconstructivist positions on offer, there is reason to think that versions of these problems will continue to haunt socioconstructivism. The problems are that socioconstructivists (i) have not come to a satisfactory resolution of the social-individual dichotomy, (ii) are still threatened by relativism, and (iii) have been vague in their characterization of what construction is. We first present these problems; then we introduce inferentialism, and finally we show how inferentialism can help to overcome the problems. We argue that inferentialism (i) contains a powerful conception of norms that can overcome the social-individual dichotomy, (ii) draws attention to the reality that constrains our inferences, and (iii) develops a clearer conception of learning in terms of the mastering of webs of reasons. Inferentialism therefore represents a powerful alternative theoretical framework to socioconstructivism.
Hopkins, Richard L.
Differing philosophies of education associated with John Dewey, Robert Maynard Hutchins, Jerome Bruner, and A. S. Neill are outlined. Implications of each philosophy for mathematics and science teaching are suggested. (MP)
Items 1 - 36 of 36 ... African Journal of Educational Studies in Mathematics and Sciences ... statistics, operational research, financial mathematics and about the annexes ... research work in all areas of mathematical sciences and application at all ...
Papadakis, Stamatis; Kalogiannakis, Michail; Zaranis, Nicholas
The present study investigates and compares the influence of using computers and tablets, in the development of mathematical competence in early childhood education. For the implementation of the survey, we conducted a 14 weeks intervention, which included one experimental and one control group. Children in both groups were taught Mathematics according to Greek curriculum for early childhood education in conjunction with the use either of the same educational software, which depending on the ...
Aida Maria Torres-Alfonso
Full Text Available More than a century room recently they have been carrying out, frequently annual Educational Mathematics Latin American Meetings (RELME and the works presented in the event, after a revision for even of experts, the ALME is published (Latin American Mathematics Education Act. We present a qualitative analysis of the impact of publications recorded in ALME in the period between 2000 and 2009. They use scientific production indicators, indicators of impact or influence: who provided the scientific community use made of these results based on the count of citations received by papers published in ALME in the publication itself, supplemented by an analysis of citations according to Google Scholar and collaboration indicators that showed the type of existing collaboration in the scientific community.
Tsai, Tsung-Lung; Li, Hui-Chuan
Over the past few decades, researchers, policy makers, educators and the general public, who have an interest in mathematics education in different countries, pay a great deal of attention to the results from international comparative studies. Of great interest to the international studies is the results of Eastern students consistently achieving higher marks among the participating countries. In recent years, we have seen a climate of intense global economic competition and a growing belief in the key role of education, which have persuaded governments to become increasingly obsessed with the international rankings of measured educational outcomes. Accordingly, educational policy is increasingly driven by national attempts to "copy" the perceived advantage associated with the educational strategies and techniques of other countries. In this note, we present a discussion of the benefits and criticisms of one of these international comparative studies: Trends in International Mathematics and Science Study (TIMSS) studies. In so doing, we attempt to call attention to a continuously growing culture of "teaching to the test" in mathematics education.
Day-Hess, Crystal; Clements, Douglas H
The DREME Network was created to advance the field of early mathematics research and improves the opportunities to develop math competencies offered to children birth through age 8 years, with an emphasis on the preschool years. All four main Network projects will have implications for interventions. Section 1 introduces the Network and its four projects. The remainder of the chapter focuses on one of these four projects, Making More of Math (MMM), in depth. MMM is directly developing an intervention for children, based on selecting high-quality instructional activities culled from the burgeoning curriculum resources. We first report a review of 457 activities from 6 research-based curricula, which describes the number of activities by content focus, type (nature), and setting of each activity. Given the interest in higher-order thinking skills and self-regulation, we then identified activities that had the potential to, develop both mathematics and executive function (EF) proficiencies. We rated these, selecting the top 10 for extensive coding by mathematics content and EF processes addressed. We find a wide divergence across curricula in all these categories and provide comprehensive reports for those interested in selecting, using, or developing early mathematics curricula. © 2017 Elsevier Inc. All rights reserved.
Big data and data analytics offer the promise to enhance teaching and learning, improve educational research and progress education governance. This chapter aims to contribute to the conceptual and methodological understanding of big data and analytics within educational research. It describes the opportunities and challenges that big data and analytics bring to education as well as critically explore the perils of applying a data driven approach to education. Despite the claimed value of the...
de Castro, Ana I. Gómez
Mathematics is the language of science however, in secondary and high school education students are not made aware of the strong implications behind this statement. This is partially caused because mathematical training and the modelling of nature are not taught together. Astronomy provides firm scientific grounds for this joint training; the mathematics needed is simple, the data can be acquired with simple instrumentation in any place on the planet and the physics is rich with a broad range of levels. In addition, astronomy and space exploration are extremely appealing to young (14-17 years old) students helping to motivate them to study science doing science, i.e. to introduce Inquiry Based Scientific Education (IBSE). Since 1997 a global consortium is being developed to introduce IBSE techniques in secondary/high school education on a global scale: the Global Hands-On Universe association (www.globalhou.org) making use of the astronomical universe as a training lab. This contribution is a brief update on the current activities of the HOU consortium. Relevant URLS: www.globalhou.org, www.euhou.net, www.houspain.com.
This paper reports from a four year international research project, Assess Inquiry in Science, Technology and Mathematics Education (ASSIST-ME) involving 10 partners in 8 European countries (http://assistme.ku.dk/), running 2012-2016. The project combines research on implementation of innovative ...... assessment methods with a policy aspect in order to influence educational policy....
Serin, Mehmet Koray; Incikabi, Semahat
Mathematics educators have reported on many issues regarding students' mathematical education, particularly students who received mathematics education at different departments such as engineering, science or primary school, including their difficulties with mathematical concepts, their understanding of and preferences for mathematical concepts.…
McComas, Kim Krusen
Discusses the parallels between Klein's position at the forefront of a movement to reform mathematics education and that of the National Council of Teachers of Mathematics' (NCTM) Standards. Draws a picture of Klein as an important historical figure who saw equal importance in studying pure mathematics, applying mathematics, and teaching…
Mathematics education is a complex, multi-disciplinary field of study which treats a wide range of diverse but interrelated areas. These include the nature of mathematics, the learning of mathematics, its teaching, and the social context surrounding both the discipline and applications of mathematics itself, as well as its teaching and learning.…
Vaughn, Sharon; Swanson, Elizabeth A.
Research in special education has yielded beneficial outcomes for students with disabilities as well as typical achieving students. The authors provide examples of the valuable knowledge special education research has generated, including the elements of response to intervention (e.g., screening and progress monitoring), instructional practices…
Widlund, Anna; Tuominen, Heta; Korhonen, Johan
It has been suggested that both performance and academic well-being play a role in adolescent students' educational attainment and school dropout. In this study, we therefore examined, first, what kinds of academic well-being (i.e., school burnout, schoolwork engagement, and mathematics self-concept) and mathematics performance profiles can be identified among lower secondary school students ( N grade 7 = 583, N grade 9 = 497); second, how stable these profiles are across one school year during the seventh and ninth grades; and, third, how students with different academic well-being and mathematics performance profiles differ with respect to their educational aspirations. By means of latent profile analyses, three groups of students in seventh grade: thriving (34%), average (51%), and negative academic well-being (15%) and four groups of students in ninth grade: thriving (25%), average (50%), negative academic well-being (18%), and low-performing (7%) with distinct well-being and mathematics performance profiles were identified. Configural frequency analyses revealed that the profiles were relatively stable across one school year; 60% of the students displayed identical profiles over time. The thriving students reported the highest educational aspirations compared to the other groups. In addition, the low-performing students in the ninth grade had the lowest educational aspirations just before the transition to upper secondary school. Practical implications as well as directions for future research are discussed.
Full Text Available It has been suggested that both performance and academic well-being play a role in adolescent students’ educational attainment and school dropout. In this study, we therefore examined, first, what kinds of academic well-being (i.e., school burnout, schoolwork engagement, and mathematics self-concept and mathematics performance profiles can be identified among lower secondary school students (Ngrade 7 = 583, Ngrade 9 = 497; second, how stable these profiles are across one school year during the seventh and ninth grades; and, third, how students with different academic well-being and mathematics performance profiles differ with respect to their educational aspirations. By means of latent profile analyses, three groups of students in seventh grade: thriving (34%, average (51%, and negative academic well-being (15% and four groups of students in ninth grade: thriving (25%, average (50%, negative academic well-being (18%, and low-performing (7% with distinct well-being and mathematics performance profiles were identified. Configural frequency analyses revealed that the profiles were relatively stable across one school year; 60% of the students displayed identical profiles over time. The thriving students reported the highest educational aspirations compared to the other groups. In addition, the low-performing students in the ninth grade had the lowest educational aspirations just before the transition to upper secondary school. Practical implications as well as directions for future research are discussed.
Widlund, Anna; Tuominen, Heta; Korhonen, Johan
It has been suggested that both performance and academic well-being play a role in adolescent students’ educational attainment and school dropout. In this study, we therefore examined, first, what kinds of academic well-being (i.e., school burnout, schoolwork engagement, and mathematics self-concept) and mathematics performance profiles can be identified among lower secondary school students (Ngrade 7 = 583, Ngrade 9 = 497); second, how stable these profiles are across one school year during the seventh and ninth grades; and, third, how students with different academic well-being and mathematics performance profiles differ with respect to their educational aspirations. By means of latent profile analyses, three groups of students in seventh grade: thriving (34%), average (51%), and negative academic well-being (15%) and four groups of students in ninth grade: thriving (25%), average (50%), negative academic well-being (18%), and low-performing (7%) with distinct well-being and mathematics performance profiles were identified. Configural frequency analyses revealed that the profiles were relatively stable across one school year; 60% of the students displayed identical profiles over time. The thriving students reported the highest educational aspirations compared to the other groups. In addition, the low-performing students in the ninth grade had the lowest educational aspirations just before the transition to upper secondary school. Practical implications as well as directions for future research are discussed. PMID:29593603
This year marks the 25th anniversary of the publication of a "National Statement on Mathematics for Australian Schools", which was the first curriculum statement this country had including "Chance and Data" as a significant component. It is hence an opportune time to survey the history of the related statistics education…
Mayans, David; Schneider, Logan; Adams, Nellie; Khawaja, Ayaz M.; Engstrom, John
Objective: To survey US-trained graduating neurology residents who are American Academy of Neurology members, in an effort to trend perceived quality and completeness of graduate neurology education. Methods: An electronic survey was sent to all American Academy of Neurology members graduating from US neurology residency programs in the Spring of 2014. Results: Of 805 eligible respondents, 24% completed the survey. Ninety-three percent of adult neurology residents and 56% of child neurology residents reported plans to pursue fellowship training after residency. Respondents reported a desire for additional training in neurocritical care, neuro-oncology, neuromuscular diseases, botulinum toxin injection, and nerve blocks. There remains a clear deficit in business training of neurology residents, although there was notable improvement in knowledge of coding and office management compared to previous surveys. Discussion: Although there are still areas of perceived weakness in neurology training, graduating neurology residents feel generally well prepared for their chosen careers. However, most still pursue fellowship training for reasons that are little understood. In addition to certain subspecialties and procedures, practice management remains deficient in neurology training and is a point of future insecurity for most residents. Future curriculum changes should consider resident-reported gaps in knowledge, with careful consideration of improving business training. PMID:26976522
Jessica de Brito
Full Text Available For ages, Youth and Adults (EJA is drawing a profile of its own, as this school is comprised of a diverse social, economic and cultural. Thus, it is up to schools to organize themselves, ensuring necessary conditions for access, retention and quality education to all. In this space, we highlight a new student body of EJA which has been expanding in recent censuses school: pupils who are part of the target audience of Special Education. We control for mathematics teaching for students with intellectual disabilities. The present study aimed to conduct a mapping of scientific production (theses and dissertations, focusing on the teaching of mathematics to young people and adults with intellectual disabilities in the EJA. We carried out the survey with the bank of theses and dissertations Capes, starting this search for descriptors that addressed specific mathematics teaching in adult education. Among the selected studies, few productions were found on this topic. To fill this gap, it is urgent, research aimed at the interface between Special Education and Education of Youth and Adults.
This Strategic Plan was developed by the Federal Coordinating Council for Science, Engineering, and Technology (FCCSET) through its Committee on Education and Human Resources (CEHR), with representatives from 16 Federal agencies. Based on two years of coordinated interagency effort, the Plan confirms the Federal Government's commitment to ensuring the health and well-being of science, mathematics, engineering, and technology education at all levels and in all sectors (i.e., elementary and secondary, undergraduate, graduate, public understanding of science, and technology education). The Plan represents the Federal Government's efforts to develop a five-year planning framework and associated milestones that focus Federal planning and the resources of the participating agencies toward achieving the requisite or expected level of mathematics and science competence by all students. The priority framework outlines the strategic objectives, implementation priorities, and components for the Strategic Plan and serves as a road map for the Plan. The Plan endorses a broad range of ongoing activities, including continued Federal support for graduate education as the backbone of our country's research and development enterprise. The Plan also identifies three tiers of program activities with goals that address issues in science, mathematics, engineering, and technology education meriting special attention. Within each tier, individual agency programs play important and often unique roles that strengthen the aggregate portfolio. The three tiers are presented in descending order of priority: (1) reforming the formal education system; (2) expanding participation and access; and (3) enabling activities.
Basaran, Mehmet; Özalp, Gülümser; Kalender, Ilker; Alacaci, Cengiz
One important function of school mathematics curriculum is to prepare high school students with the knowledge and skills needed for university education. Identifying them empirically will help making sound decisions about the contents of high school mathematics curriculum. It will also help students to make informed choices in course selection at…
An, Song A.; Tillman, Daniel A.; Paez, Carlos R.
This study investigated the effects upon elementary preservice teachers' mathematics teaching self-efficacy and interdisciplinary lesson design strategies, which resulted from an educational intervention that emphasized integrated music-mathematics instruction. The participating elementary preservice teachers (n = 152) were recruited for this…
Palinussa, Anderson L.
This paper presents the findings of a quasi-experimental with pre-test-post-test design and control group that aims to assess students' critical mathematical thinking skills and character through realistic mathematics education (RME) culture-based. Subjects of this study were 106 junior high school students from two low and medium schools level in…
Rizal, M.; Mansyur, J.
The purpose of this study is to obtain a description of the problem-solving behaviour of mathematics education students. The attainment of the purpose consisted of several stages: (1) to gain the subject from the mathematic education of first semester students, each of them who has a high, medium, and low competence of mathematic case. (2) To give two mathematical problems with different characteristics. The first problem (M1), the statement does not lead to a resolution. The second problem (M2), a statement leads to problem-solving. (3) To explore the behaviour of problem-solving based on the step of Polya (Rizal, 2011) by way of thinking aloud and in-depth interviews. The obtained data are analysed as suggested by Miles and Huberman (1994) but at first, time triangulation is done or data’s credibility by providing equivalent problem contexts and at different times. The results show that the behavioral problem solvers (mathematic education students) who are capable of high mathematic competency (ST). In understanding M1, ST is more likely to pay attention to an image first, read the texts piecemeal and repeatedly, then as a whole and more focus to the sentences that contain equations, numbers or symbols. As a result, not all information can be received well. When understanding the M2, ST can link the information from a problem that is stored in the working memory to the information on the long-term memory. ST makes planning to the solution of M1 and M2 by using a formula based on similar experiences which have been ever received before. Another case when implementing the troubleshooting plans, ST complete the M1 according to the plan, but not all can be resolved correctly. In contrast to the implementation of the solving plan of M2, ST can solve the problem according to plan quickly and correctly. According to the solving result of M1 and M2, ST conducts by reading the job based on an algorithm and reasonability. Furthermore, when SS and SR understand the
Woo, Jeong-Ho, Ed.; Lew, Hee-Chan, Ed.; Park, Kyo-Sik Park, Ed.; Seo, Dong-Yeop, Ed.
The first volume of the 31st annual proceedings of the International Group for the Psychology of Mathematics Education conference presents plenary lectures; research forums; discussion groups; working sessions; short oral communications; and posters from the meeting. Plenary lecture papers include: (1) On Humanistic Mathematics Education: A…
A pesquisa de intervenção na psicologia da educação matemática: aspectos conceituais e metodológicos Intervention research in the psychology of mathematics education: conceptual and methodological aspects
Maria Helena Fávero
education. The psychology of knowledge and our method are based on four connected theoretical aspects: 1. the evidence of interaction between cognitive and social regulations; 2. the role of semiotic mediation in human psychological development; 3. the effects of sign systems on psychological development and individual communication; 4. the realisation that human actions are not at random, but rather content-based social practices. The study involved a double challenge: to develop a procedure to bring a mathematics teacher to a grasp of consciousness regarding the paradigm underpinning her practice, and to reformulate it on the basis of a deliberate articulation between psycho-pedagogical intervention and research, allowing us to: 1. study the students' conceptual acquisitions, and 2. analyse the mediation processes involved in the interpersonal relations, taking into account the nature of the material utilised and the activities proposed. The activities proposed and the quality of the mediated activity meant that students acquired new conceptual competence and the teacher developed new competence as a knowledge mediator.
Turgut, Sedat; Temur, Özlem Dogan
In this research, the effects of using game in mathematics teaching process on academic achievement in Turkey were examined by metaanalysis method. For this purpose, the average effect size value and the average effect size values of the moderator variables (education level, the field of education, game type, implementation period and sample size)…
Baber, Sikunder Ali
" and shows how a number of professional associations have become as networks of learning to encourage the continuing professional education of both pre-service and in-service teachers in the context of Pakistan. A case of the Mathematics Association of Pakistan (MAP) as a Network of Learning is presented....... The formation and growth of this network can be viewed as developing insights into the improvement of mathematics education in the developing world. The contributions of the association may also add value to the learning of teacher colleagues in other parts of the world. This sharing of the experience may......Importance of the professional development of teachers has been recognized and research has contributed greatly in terms of proposing variety of approaches for the development of teachers,both pre-service and in-service. Among them, networking among teachers, teacher educators,curriculum developers...
France Fraiha Martins
Full Text Available This article reports results of a qualitative research, in the narrative modality. We investigated the formative experiences of teachers of Mathematics and Science through distance learning in the Amazon region, experienced in a course through the Virtual Learning Environment (VLE. We investigated under what conditions this education experience was a catalyst for teachers’ reflections on the Amazonian context of teaching science and mathematics. By using Discursive Textual Analysis some categories e merged: graduating in the Amazon region: obstacles and confrontations; AVA and Technologies: meaning (s of the education experience and the impact of the experience in the perceptions of teachers’ practices and training. The analysis of the results reveals the obstacles to the training in this context. The dynamics experienced by the use of VLE technologies and of the teachers reverberated methodological insights regarding the use of technology in teaching practices, indicating also the VLE as an alternative of (self education on the Amazon reality
Eustaquio, William Rafael
As manifested by various studies conducted, the present state of Mathematics education in the teaching-learning process is relatively declining and the existing effort to identify emotional intelligence and mathematics competencies of Mathematics major student-teachers at Higher Education Institutions in Isabela is an attempt to help alleviate the…
Budinski, Natalija; Milinkovic, Dragica
The availability of technology has a big impact on education, and that is the main reason for discussing the use of technologies in mathematical education in our paper. The availability of technology influences how mathematical contents could be presented to students. We present the benefits of learning mathematical concepts through real life…
The CASCADE-IMEI study was started to explore the role of a learning environment (LE) in assisting mathematics student teachers learning Realistic Mathematics Education (RME) as a new instructional approach in mathematics education in Indonesia. The LE for this study has been developed and evaluated
Wang, Xiao-qin; Qi, Chun-yan; Wang, Ke
There is not a clear consensus on the categorization framework of the educational values of the history of mathematics. By analyzing 20 Chinese teaching cases on integrating the history of mathematics into mathematics teaching based on the relevant literature, this study examined a new categorization framework of the educational values of the…
Gimmestad, Beverly, Swadener, Marc
Twenty-eight reports, articles, and papers published in 1973 which concern mathematics education in the community junior college are reviewed. Much of this literature was found in "The Two-Year College Mathematics Journal,""The American Mathematical Monthly," or among Educational Resources Information Center (ERIC) reports. The references are…
This article focuses on a form of instructional design that is deemed fitting for reform mathematics education. Reform mathematics education requires instruction that helps students in developing their current ways of reasoning into more sophisticated ways of mathematical reasoning. This implies
Yavuz, Ayse; Aydin, Bünyamin; Avci, Musa
The purpose of this study was to investigate primary and secondary mathematics teachers' candidates' effect of the success in geometry education. The sample of the study consists of students first and last class preservice primary mathematics teachers which are enrolled program education at department of mathematics and students first and last…
Pill, Shane; Hastie, Peter
In order to plan and enact appropriate learning environments in physical education (PE) teachers are increasingly directed to models based practice. The Sport Education model is one of these models for PE curriculum and teaching design that informs the content and pedagogical direction of sport teaching in PE. Despite Sport Education being well…
Pesquisa qualitativa em Educação Matemática a distância: aspectos importantes do uso do Role Playing Game como procedimento metodológico de pesquisa Qualitative research in distance Mathematics Education: important aspects of the Role Playing Game as research methodological procedure
Full Text Available Este artigo evidencia aspectos do Role Playing Game (RPG, jogo de representação de personagens, que o tornam um importante procedimento de investigação em termos de Pesquisa Qualitativa em Educação (no caso, Educação Matemática a Distância. Esse jogo foi adotado em uma pesquisa (ROSA, 2008 que estudou as relações estabelecidas entre a construção de identidades online e o ensino e a aprendizagem do conceito de Integral Definida (conceito do Cálculo Diferencial e Integral em um curso a distância. Assim, a partir dessa investigação que utilizou o RPG jogado a distância, via chat, como procedimento de coleta de dados, discutimos a inserção desse jogo como procedimento metodológico de pesquisa em Educação Matemática a Distância e caracterizamos como esse processo liga-se a questões referentes à Pesquisa Qualitativa nesse novo cenário: o ciberespaço. Logo, assumimos que adotar o RPG como procedimento de pesquisa favorece tanto o pesquisador, quanto os sujeitos investigados, em termos de mostrarem-se como "diferentes" mesmo sendo "os mesmos" (ROSA, 2008 e isso potencializa a produção do conhecimento matemático, bem como a análise das ações e possibilidades educacionais vislumbradas pelo ser online que se apresenta no ambiente natural apresentado. Também apontamos a adoção do RPG como fator que impele e amplia a concepção pós-estruturalista de Educação que, em ambientes virtuais, cada vez mais, vem destacando e estabelecendo uma amplitude de investigação que transforma esse espaço imaginativo e surpreendente em um ambiente natural de pesquisa.This article highlights aspects of the Role Playing Game (RPG, which make an important procedure in terms of research on Qualitative Research in Distance Education (in this case, Mathematics Education. This game was used in a research (ROSA, 2008 that studied the relations between the construction of online identities and teaching and learning of the concept of
Eggink, Wouter; Mulder-Nijkamp, Maaike; Bohemia, Erik; Kovacevic, Ahmed; Buck, Lyndon; Tollestrup, Christian; Eriksen, Kaare; Ovesen, Nis
The very definition of a university is a place where research and education are intertwined. When there is no research, a university will look like a place for vocational training, and when there are no students to teach, the university is no more than a research institution. This convention of
Full Text Available Since the beginning, mathematics courses are inherent within architecture education. In Indonesia, the legacy from Dutch education system has influenced most of the architectural schools and this courses stand as one of basic engineering courses for architecture education system. This situation has been remaining well adopted until recently, some of architectural schools are tailoring mathematics to shape with contemporary challenges particularly regards to the digital tools. This paper aims to present brief information about mathematics courses in architectural schools in Indonesia, the importance of mathematics in learning digital design tools and propose thoughts to upgrade mathematics content in architectural education towards new emerging design tools.
Berry, Kathleen; Kincheloe, Joe
What does it mean to engage in rigorous research? What does a researcher need to know to produce such research? What is specifically involved in multiple method bricolage research? In an era where talk abounds about scientific rigour and evidence-based research in education, this groundbreaking book presents a new and compelling examination of…
Ropers-Huilman, Rebecca; Winters, Kelly T.
This essay provides an overview of feminist methodology and its potential to enhance the study of higher education. Foregrounding the multiple purposes and research relationships developed through feminist research, the essay urges higher education scholars to engage feminist theories, epistemologies, and methods to inform policy, research, and…
Travers, Jason C.; Cook, Bryan G.; Therrien, William J.; Coyne, Michael D.
Replicating previously reported empirical research is a necessary aspect of an evidence-based field of special education, but little formal investigation into the prevalence of replication research in the special education research literature has been conducted. Various factors may explain the lack of attention to replication of special education…
This collection presents significant contributions from an international network project on mathematical cultures, including essays from leading scholars in the history and philosophy of mathematics and mathematics education. Mathematics has universal standards of validity. Nevertheless, there are local styles in mathematical research and teaching, and great variation in the place of mathematics in the larger cultures that mathematical practitioners belong to. The reflections on mathematical cultures collected in this book are of interest to mathematicians, philosophers, historians, sociologists, cognitive scientists and mathematics educators.
Research conducted at the Institute for Computer Applications in Science and Engineering (ICASE) in applied mathematics, numerical analysis, and computer science is summarized and abstracts of published reports are presented. The major categories of the ICASE research program are: (1) numerical methods, with particular emphasis on the development and analysis of basic numerical algorithms; (2) control and parameter identification; (3) computational problems in engineering and the physical sciences, particularly fluid dynamics, acoustics, and structural analysis; and (4) computer systems and software, especially vector and parallel computers.
The paper is structured in three main sections. The first is a general description of educational research in Denmark and the types of quality assessment used. The second is a discussion of a particular instance of quality assessment, the 2004 OECD review of educational research in Denmark and its...... consequences. The third is a critical discussion of some influential current notions about quality in educational research. ...
Pagliaro, Claudia M; Kritzer, Karen L
The study documents what deaf education teachers know about discrete mathematics topics and determines if these topics are present in the mathematics curriculum. Survey data were collected from 290 mathematics teachers at center and public school programs serving a minimum of 120 students with hearing loss, grades K-8 or K-12, in the United States. Findings indicate that deaf education teachers are familiar with many discrete mathematics topics but do not include them in instruction because they consider the concepts too complicated for their students. Also, regardless of familiarity level, deaf education teachers are not familiar with discrete mathematics terminology; nor is their mathematics teaching structured to provide opportunities to apply the real-world-oriented activities used in discrete mathematics instruction. Findings emphasize the need for higher expectations of students with hearing loss, and for reform in mathematics curriculum and instruction within deaf education.
Professor Whitty has endorsed the consensus that research into education is empirical social science, distinguishing "educational research" which seeks directly to influence practice, and "education research" that has substantive value but no necessary practical application. The status of the science here is problematic. The positivist approach is…
Olga V. Kremer
Full Text Available The article deals with the statistic reasons, age and wages of people who get the second higher education. People opt for the second higher education mostly due to many economical and physiological factors. According to our research, the age is a key motivator for the second higher education. Based on statistical data the portrait of a second higher education student was drawn.
Full Text Available In our society there is high diversity so we need educational methodologies that promote equal opportunities for personal success inside the difference. It is necessary to explore the role of non-formal educational practices in multicultural contexts and to implement a model of communitarian education that allows the practices of other cultures to become valued by and visible to the broader society. Nowadays there are not doubts about the importance of the developing of number sense in the early mathematics learning, however, the entrance to the scholar arithmetic is, in most cases, through the teaching of the four rules using the traditional algorithms. Here we show how to use open calculations based on numbers (ABN as an inclusive methodological alternative, based on the meaningful learning of the decimal system, the operations and their properties. We think the method fits very well with people from other ethnics as Romanian people.
Full Text Available We found in the 'state of the art' study on adult education research in Slovenia that in the period 1989-1993 in Slovenia there was quite extensive and intensive research activity on ad uit education. Here are some figures to confirm this statement: 33 research projects were carried out in 11 institutions, and 23 researchers were involved in researches. The research projects were analysed and presented in detail by: kind of providers, research themes and priorities, sources and ways of financing, development of research infrastructure (publicizing, bibliographical resources, training and professional associations of researchers and extension and ways of international cooperation. Comparing the present sitation with the findings mentioned above we assess that the relatively favourable situation from the period approx five years ago is deteriorating getting worser. There are fewer research conductors, the extent of financial funds is declining, the criteria for approvement of aplicative and fundamental research at the Ministry for Science and Technology are higher, the interest of the Ministry of Education and Sport in research themes is getting narrower and therefore adult education is not treated as a priority; in the structure of researches at present, developmental research prevails, but even here the restrictive financing policy of the Ministry for Education and Sport is not supporting developmental researches as much as before. The development of research infrastructure is stili following the general positive trend of the development of adult education. We condude that special support and measures (special criteria for approvement of research, development of institutions, research staff development and training, development of infrastructure and international cooperation should be adopted for the more prosperous development of research on adult education; adult education in Slovenia is stili a very young field of activity, and andragogy is
Harm H. Tillema
Full Text Available Educational research acknowledges that researcher’s beliefs and training play a role in framing the outcomes of any study. Research not only consists of defining objectives and following certain methods (search but also of making decisions over the steps taking during the inquiry process (research.Establishing a conceptual framework to guide actions on the subjective processes in research is then crucial to control them. With that purpose in mind we offer researchers and Teacher Educators a heuristic tool to be conscious on the risks that can be taken when immersed in research interpretative process. This instrument could be utilised in PhD programs, masters and research projects.
Full Text Available Seeking a systematic combination of the pedagogical model of m-learning with the Realistic Mathematics Education (RME approach, this study concerns the use of math trail as a learning activity model that can take the advantages of mobile computing devices for the design of effective learning experiences in an authentic context. The paper presents the design and the case study of the first pilot implementation of a math trail, using mobile devices for primary school students. In this math trail, the students are guided, through a digital map, to a sequence of preselected sites of a park where they solve specially designed math problems using data from the environmental context. The students measure real objects’ dimensions either with conventional instruments or by measurement applications of their tablet. According to the findings of the study, students solved the puzzles by applying mathematical knowledge, discussion and collaboration. The students applied and reinforced their knowledge through an effective and engaging learning activity. Moreover, the students were puzzled about the differences of the measurements by conventional and digital instruments and this confusion triggered social negotiation. Further research is needed for a grounded theory development about m-learning design for RME.
Jorgensen, Estelle R.
In addressing the question-set "What questions do music education researchers need to address?", an illustrative list of juxtaposed descriptive and normative questions is sketched as follows: What are and should be the dimensions of music education? What are and should be the institutional agencies of music education? What are and should be the…
Ei, Shin-ichiro; Koiso, Miyuki; Ochiai, Hiroyuki; Okada, Kanzo; Saito, Shingo; Shirai, Tomoyuki
This book deals with one of the most novel advances in mathematical modeling for applied scientific technology, including computer graphics, public-key encryption, data visualization, statistical data analysis, symbolic calculation, encryption, error correcting codes, and risk management. It also shows that mathematics can be used to solve problems from nature, e.g., slime mold algorithms. One of the unique features of this book is that it shows readers how to use pure and applied mathematics, especially those mathematical theory/techniques developed in the twentieth century, and developing now, to solve applied problems in several fields of industry. Each chapter includes clues on how to use "mathematics" to solve concrete problems faced in industry as well as practical applications. The target audience is not limited to researchers working in applied mathematics and includes those in engineering, material sciences, economics, and life sciences.
Triantafyllou, Eva; Timcenko, Olga
As a result of changes in society and education, assumptions about the knowledge of entrants to university have become obsolete. One area in which this seems to be true is mathematics. This paper presents our research aiming at tackling with this problem by developing digital educational material...... for mathematics education, which will be student-driven, dynamic, and multimodal. Our approach will be supported by the theories of Constructionism and PBL. The impact of its use will be evaluated in university settings. It is expected that the evaluation will demonstrate an improvement in student engagement...
NCISLA logo National Center for Improving Student Learning and Achievement in Mathematics and Wisconsin-Madison Powerful Practices in Mathematics & Sciences A multimedia product for educators . Scaling Up Innovative Practices in Mathematics and Science (Research Report). Thomas P. Carpenter, Maria
Hayati, R.; Fauzan, A.; Iswari, M.; Khaidir, A.
The purpose of this study was to develop a model of Holistic Mathematics Education (HME) among systems based on low-grade primary school students so that students have a solid foundation when entering a higher behavior. This type of research is desaign research developed by Plomp to have three stages, namely the preliminary research, development or prototyping phase, and assessement Phase. This research resulted in a model Holistic Mathematics Education (HME) -based system is among the primary school students low grade consists of 10 stages, namely 1) Recap through the neighborhood, 2) Discussion groups by exploiting the environment, 3) Demonstration Group, 4) Exercise individuals, 5) mathematical modeling, 6) Demonstration of individuals, 7) Reflections, 8) impressions and messages, and giving meaning, 9) Celebrations and 10) A thorough assessment. Furthermore, this model also produces 7 important components that should be developed teacher, namely 1) constructivism, 2) the nature of nature, 3) independence, 4) parable, 5) inquiry, 6) cooperation, and 7) strengthening. This model will produce a model in the form of books, student books and teacher's guide book as a support system that can help users in its application.
Problem and Project-Based Learning (PBL) emphasise collaborate work on problems relevant to society and emphases the relation between theory and practice. PBL fits engineering students as preparation for their future professions but what about mathematics? Mathematics is not just applied mathematics, but it is also a body of abstract knowledge where the application in society is not always obvious. Does mathematics, including pure mathematics, fit into a PBL curriculum? This paper argues that it does for two reasons: (1) PBL resembles the working methods of research mathematicians. (2) The concept of society includes the society of researchers to whom theoretical mathematics is relevant. The paper describes two cases of university PBL projects in mathematics; one in pure mathematics and the other in applied mathematics. The paper also discusses that future engineers need to understand the world of mathematics as well as how engineers fit into a process of fundamental-research-turned-into-applied-science.
Novaes de Andrade, Thales Haddad; Vilela, Denise Silva
In Brazil, mathematics education was associated with Jean Piaget's theory. Scholars in the field of education appropriated Piaget's work in different ways, but usually emphasized logical aspects of thought, which probably lead to an expansion of mathematics education influenced by psychology. This study attempts to extend the range of…
Parra, Aldo; Mendes, Jackeline; Valero, Paola
In Latin America, there is a considerable Indigenous population whose participation in the educational system has been systematically obstructed by the imposition of Spanish and Portuguese, the languages of the colonial powers. The historical process of Indigenous education was rooted in the colo...... the development of mathematical registers and language revitalization as central issues within the mathematics education of Indigenous people....
Awofala, Adeneye O. A.
The intention of this paper is to describe and reflect on the changes in the new 9-year basic education mathematics curriculum in Nigeria. The paper is divided into four major themes: history of curriculum development in mathematics education at the basic education level in Nigeria, the motivations for the revision of the primary and junior…
Full Text Available Concern expressed by government and other funding agencies and consumers of research, about the quality and relevance of research in the field of education affects not only the kind of research is conducted but also the way in which we educate researchers. The economic imperative for ‘value for money’ from research and researchers has, for instance, led to the education of research students to be seen increasingly in terms of training in a range of generic skills that can be applied to the investigation of a range of forms of research problem in a variety of contexts. Whilst breadth in the education of researchers has clear advantages, both for the careers of individual researchers and the wider research community, there is some tension between this approach and the more established view of a research degree as an induction into a narrow domain of knowledge and the production of a highly specialised academic identity. There are further developments that erode this notion of specialisation, for instance the growth of mixed method research, which has the potential to challenge the polarisation of qualitative and quantitative research, and shifts in the sites and agents of educational research signified by the growth of professional doctorates, which could further challenge the university as a dominant institution in the production of educational knowledge. In this paper I will explore what these developments mean for the teaching of research and consider how we can work collaboratively to develop both professional researchers and researching professionals, and reconcile the acquisition of skills with induction into specialised knowledge domains. This will involve exploration of both an overarching framework for thinking about the processes of doing research and specific examples of practice. Underlying the approach taken is a general commitment to research education, rather than to training and the teaching of methods, and the desire to ensure
Wang, Xiao-qin; Qi, Chun-yan; Wang, Ke
There is not a clear consensus on the categorization framework of the educational values of the history of mathematics. By analyzing 20 Chinese teaching cases on integrating the history of mathematics into mathematics teaching based on the relevant literature, this study examined a new categorization framework of the educational values of the history of mathematics by combining the objectives of high school mathematics curriculum in China. This framework includes six dimensions: the harmony of knowledge, the beauty of ideas or methods, the pleasure of inquiries, the improvement of capabilities, the charm of cultures, and the availability of moral education. The results show that this framework better explained the all-educational values of the history of mathematics that all teaching cases showed. Therefore, the framework can guide teachers to better integrate the history of mathematics into teaching.
Stripling, Christopher T.; Roberts, T. Grady
The purpose of this study was to determine the effects of incorporating mathematics teaching and integration strategies (MTIS) in a teaching methods course on preservice agricultural teachers' mathematics ability. The research design was quasi-experimental and utilized a nonequivalent control group. The MTIS treatment had a positive effect on the…
Haara, Frode Olav; Bolstad, Oda Heidi; Jenssen, Eirik S.
The development of mathematical literacy in schools is of significant concern at the policy level, and research is an important source of information in this process. This review article focuses on areas of research interest identified in empirical projects on mathematical literacy, and how mathematical literacy in schools is approached by…
DeMeulenaere, Eric J.; Cann, Colette N.
In the field of education, critical theorists, critical pedagogues, and critical race theorists call for academics to engage in activist academic work to promote the social transformation of the material conditions created by racism and other forms of oppression. This article is a response to this call for academics, particularly those in the…
The Romberg’ Model and the Methodological Route of a Qualitative Research in Mathematical Education O Modelo de Romberg e o Percurso Metodológico de uma Pesquisa Qualitativa em Educação de uma Pesquisa Qualitativa em Educação
Norma Suely Gomes Allevato
Full Text Available The objective of this study is to present the trajectory of a research project (ALLEVATO, 2005 whose phenomenon of interest is the teaching of mathematics using problem solving with computers. The text is an attempt to portray this trajectory, from the point of view of the methodological route followed by the researcher, which was based on two main axes: the guidance of the educator Thomas A. Romberg (1992, and the guidelines provided by the foundations of qualitative research. The study was developed during a doctoral course offered by the Graduate Program in Mathematics Education at the State University of São Paulo (UNESP, Rio Claro campus. Key words: Romberg Model. Qualitative Research. Mathematics Education.O objetivo deste trabalho é apresentar a trajetória de uma pesquisa (ALLEVATO, 2005 cujo fenômeno de interesse é o ensino de Matemática através da resolução de problemas utilizando os computadores. O presente texto representa uma tentativa de retratar essa trajetória do ponto de vista do percurso metodológico que foi realizado pela pesquisadora, e que esteve fundamentado, especialmente, em dois eixos: as orientações do educador Thomas A. Romberg (19922 e nas diretrizes fornecidas pelos fundamentos da pesquisa qualitativa. A pesquisa foi desenvolvida durante o curso de doutorado no Programa de Pós-Graduação em Educação Matemática da UNESP, em Rio Claro. Palavras-chave: Modelo de Romberg. Pesquisa Qualitativa. Educação Matemática.
Based on Social Cognitive Carier Theory (SCCT) (Lent, Brown, & Hackett, 1994, 2002), this study tested the effects of mathematics teacher candidates' self-efficacy in, outcome expectations from, and interest in CAME on their intentions to integrate Computer-Assisted Mathematics Education (CAME). While mathematics teacher candidates' outcome…
Stripling, Christopher T.; Roberts, T. Grady
The purpose of this exploratory study was to investigate the relationships between mathematics ability, personal mathematics efficacy, mathematics teaching efficacy, personal teaching efficacy, and background characteristics of preservice agricultural education teachers. Data were collected for two years at the University of Florida. Fourteen…
Alkhateeb, Haitham M; Abed, Adnan S
This study was designed to assess the mathematics teaching efficacy beliefs of undergraduates in elementary education through a manipulative-based course in mathematics. Responses of 106 university undergraduates to the 21-item Mathematics Teaching Efficacy Beliefs administered as pre- and posttest without a control group showed a significant immediate postcourse change in their efficacy beliefs using dependent t test.
O'Meara, Niamh; Fitzmaurice, Olivia; Johnson, Patrick
Mathematics teacher educators in the University of Limerick became aware of a lack of conceptual understanding of key mathematics concepts of prospective secondary mathematics teachers through observation on teaching placement and in pedagogy lectures. A pilot study to enhance the conceptual understanding of prospective teachers was carried out…
Pagliaro, C.; Kritzer, K. L.
The study documents what deaf education teachers know about discrete mathematics topics and determines if these topics are present in the mathematics curriculum. Survey data were collected from 290 mathematics teachers at center and public school programs serving a minimum of 120 students with hearing loss, grades K-8 or K-12, in the United…
Sayeski, Kristin L.; Paulsen, Kim J.
In many general education classrooms today, teachers are using "reform" mathematics curricula. These curricula emphasize the application of mathematics in real-life contexts and include such practices as collaborative, group problem solving and student-generated algorithms. Students with learning disabilities in the area of mathematics can…
Márcia Cristina de Costa Trindade Cyrino
Full Text Available We presented in this paper results of a research which aimed to investigate how the community of practice context of pre-service mathematics teacher education collaborates for learning on algebraic thinking by these future teachers. We analyzed, taking into account the Social Theory of Learning developed by Wenger (1998 as a theoretical frame, processes of negotiation of meanings present in participants' algebraic thinking in the development of tasks in one of the actions of the project "Mathematical Education of Teachers of Mathematics" inside the program "Universidade sem Fronteiras". This analysis allowed us to define some forms of member participation and explicit reification of algebraic thinking, due to some interactions in the processes of negotiation of meanings, which revealed changes in the identity of participants in become teachers of mathematics.
Gardiner, D.A.; Beauchamp, J.J.; Gray, L.J.; Lever, W.E.; Shepherd, D.E.
This is the twenty-second in the series of progress reports of the Mathematics and Statistics Research Department and its predecessor organizations. Part A reports research progress in biomedical and environmental applications, materials science applications, model development and evaluation, moving-boundary problems, multivariate multipopulation classification, numerical linear algebra, risk analysis, and complementary areas. The results of collaboration with other researchers on problems in biology, chemistry, energy, engineering, environmental sciences, geology, health and safety research, information sciences, and material sciences are recorded in Part B. Parts C, D, and E contain short accounts of educational activities, lists of written and oral presentations of research results, and a list of other professional activities in which the staff was engaged. Although a few results are shown, the reports in this volume are only of extended abstract length. One may expect completed research to be reported in the usual channels. 6 figures, 2 tables
ACT, Inc., 2017
This new ACT publication is an annual report offering meaningful research insights for some of the most pressing questions impacting admissions and enrollment practice. In the first release of this report, ACT research sheds light on the following topics: (1) the practice of super-scoring; (2) STEM major choice; (3) factors impacting retention and…
Nakahara, Tadao, Ed.; Koyama, Masataka, Ed.
The first volume of the 24th annual conference of the International Group for the Psychology of Mathematics Education includes plenary addresses, plenary panel discussions, research forum, project groups, discussion groups, short oral communications, and poster presentations. (ASK)
Blane, Dudley, Ed.
Provided are the papers presented at a conference which served as an international forum on diagnostic and prescriptive mathematics education. They are: (1) "The Evolution of the Research Council for Diagnostic and Prescriptive Mathematics" by Robert Underhill; (2) "The Interaction of Knowledge and Cognitive Processes in Diagnosis…
Randoll, Dirk; Peters, Jürgen
Waldorf education began in 1919 with the first Waldorf School in Stuttgart and nowadays is widespread in many countries all over the world. Empirical research, however, has been rare until the early nineties and Waldorf education has not been discussed within educational science so far. This has changed during the last decades. This article reviews the results of surveys during the last 20 years and is mainly focused on German Waldorf Schools, because most investigations have been done in thi...
Galbraith, Peter L; Niss, Mogens
The book aims at showing the state-of-the-art in the field of modeling and applications in mathematics education. This is the first volume to do this. The book deals with the question of how key competencies of applications and modeling at the heart of mathematical literacy may be developed; with the roles that applications and modeling may play in mathematics teaching, making mathematics more relevant for students.
The mathematical techniques reviewed have been selected on the basis of their relevance to at least four outstanding theoretical problems of magnetic fusion research, namely: (a) ion heating; (b) particle-wave interactions; (c) stability of magnetic surfaces in real tokamaks; and (d) strong plasma turbulence. These problems have a common feature: they all involve chaotic motions in spite of the perfectly deterministic nature of the mathematical models used for their description. In the first section devoted to Hamiltonian systems we briefly review the essentials of the Hamilton-Jacobi theory and discuss the Kolmogorov-Arnold-Moser theorem and its implications. In section 2 we review the difficulties of the problem of turbulence and present the Ruelle-Takens picture. An example of a dynamical system with a strange attractor is constructed and the Hopf bifurcation theory is discussed. Finally we review the properties of the Lorenz model for the convective instability of an atmospheric layer which is known to have a strange attractor for sufficiently high Rayleigh numbers
Over the past few decades, the increase in public and scholarly attention to human-animal relations has inspired an animal turn in a number of academic disciplines including environmental education research. This paper reviews the literature on animals in environmental education with respect to its theoretical foundations in critical pedagogy,…
George H. Moeller
Although natural processes operate in urban areas, they are difficult to observe. Much discussion during the symposium-fair was devoted to finding ways to improve urban children's environmental understanding through environmental education programs. But before effective environmental education programs can be developed, research is needed to: test the...
In this dissertation, I present my attempts at designing an elementary mathematics methods course to support prospective teachers in developing an understanding of how to teach all students in learning powerful mathematics. To do this, I introduced them to teaching mathematics for equity and social justice by discussing ways to support students'…