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Sample records for mathematical knowledge increases

  1. Increasing Your Mathematics and Science Content Knowledge.

    ERIC Educational Resources Information Center

    Thorson, Annette, Ed.

    2002-01-01

    This journal is intended for classroom teachers and provides a collection of essays and instructional materials organized around the theme of mathematics and science content knowledge. Articles include: (1) "Watching Ourselves Learn" (Annette Thorson); (2) "Search Smarter!" (Kimberly S. Roempler); (3) "Teacher Education Materials Project" (Joan…

  2. Mathematics Knowledge for Teaching

    ERIC Educational Resources Information Center

    Mohr, Margaret

    2006-01-01

    Research indicates that U. S. teachers' mathematical knowledge continues to be weak, and there is an inherent difference between the mathematical knowledge needed to be an effective teacher and that needed by a mathematician. In this article, the author discusses pedagogical content knowledge. According to Schulman (1987), pedagogical content…

  3. A Case Study Approach to Increasing Teachers' Mathematics Knowledge for Teaching and Strategies for Building Students' Maths Self-Efficacy

    ERIC Educational Resources Information Center

    Stevens, T.; Harris, G.; Aguirre-Munoz, Z.; Cobbs, L.

    2009-01-01

    Teachers of middle school mathematics should have a deep conceptual understanding of the elementary mathematics taught in middle school, should possess the mathematics knowledge for teaching that is required to effectively teach mathematics in middle school and should have the ability to effectively teach mathematics to, and enhance the maths…

  4. Transfer of Mathematical Knowledge: Series

    ERIC Educational Resources Information Center

    Akgun, Levent; Isik, Cemalettin; Tatar, Enver; Isleyen, Tevfik; Soylu, Yasin

    2012-01-01

    The aim of this study is to explain students' ability to transfer their knowledge about mathematical series to the problems that they encounter. The data of the study were obtained by using two different tests, namely "Problem Solving Test (PST)" and "Series Character Identification Test (SCT)" which were developed by the researchers. The study…

  5. Reconceptualizing Knowledge at the Mathematical Horizon

    ERIC Educational Resources Information Center

    Zazkis, Rina; Mamolo, Ami

    2011-01-01

    This article extends the notion of "knowledge at the mathematical horizon" or "horizon knowledge" introduced by Ball and colleagues as a part of teachers' subject matter knowledge. Our focus is on teachers' mathematical knowledge beyond the school curriculum, that is, on mathematics learnt during undergraduate college or university studies. We…

  6. The effects of an intervention to increase liberal arts mathematics and science majors' knowledge of and attitudinal favorability toward the teaching profession

    NASA Astrophysics Data System (ADS)

    Klemballa, Carolyn

    In light of the persistent shortage of qualified mathematics and science teachers and the new teacher qualification provisions of the recently passed No Child Left Behind Act, This study tested the impact of an educational intervention designed to enhance interest in public school teaching careers among undergraduate students who were declared/intended majors in mathematics and/or natural science. Besides salary, research reveals content fear as the biggest roadblock to attracting mathematics and science teachers. Because of this, liberal arts majors in mathematics and science are a target pool of individuals to recruit into teaching. The researcher hypothesized that knowledge and attitudinal favorability would both increase after an intervention about teaching careers and that an increase in one variable would be associated with the other. Also, knowledge and attitudinal favorability would have a greater increase after a more intensive intervention than a less intensive intervention or no intervention. The researcher also hypothesized that if undergraduates were less decided in their career, lower classmen, and female, their attitudes toward the teaching profession would increase the most. One hundred eighty-nine college students, 73 males and 116 females, including 85 freshmen, 67 sophomores, 18 juniors and 19 seniors, at University A and University B were randomly assigned to a workshop, reading, or control group. The workshop group attended a workshop about the teaching profession. The reading group read articles with the same information presented in the workshop. The control group read unrelated articles. The findings from this study indicate that an intervention about teaching does significantly increase both knowledge and attitudinal favorability toward teaching (p < .01). A low significant correlation was found between knowledge and attitudinal favorability (p < .05). Findings also suggested that a more intensive intervention yields a higher increase in

  7. Re-"Conceptualizing" Procedural Knowledge in Mathematics.

    ERIC Educational Resources Information Center

    Star, Jon R.

    Many mathematics educators have lost sight of the critical importance of the mathematical understanding which underlies procedural competence, in part because we do not have a language to refer to this kind of understanding. The modal way of categorizing mathematical knowledge--conceptual and procedural knowledge--is limited in that: (a) it is…

  8. Unpacking Division to Build Teachers' Mathematical Knowledge

    ERIC Educational Resources Information Center

    Huinker, DeAnn; Hedges, Melissa; Steinmeyer, Meghan

    2005-01-01

    The unpacking of the mathematical knowledge necessary for teaching division is examined. A core task for surfacing and unpacking one's division knowledge is presented and the understandings that might comprise a package of teacher knowledge for division is discussed.

  9. Developing Mathematical Content Knowledge for Teaching Elementary School Mathematics

    ERIC Educational Resources Information Center

    Thanheiser, Eva; Browning, Christine A.; Moss, Meg; Watanabe, Tad; Garza-Kling, Gina

    2010-01-01

    In this paper the authors present three design principles they use to develop preservice teachers' mathematical content knowledge for teaching in their mathematics content and/or methods courses: (1) building on currently held conceptions, (2) modeling teaching for understanding, (3) focusing on connections between content knowledge and other…

  10. Mathematics Knowledge for Understanding and Problem Solving.

    ERIC Educational Resources Information Center

    Putnam, Ralph T.

    1987-01-01

    Two important aspects of transfer in mathematics learning are the application of mathematical knowledge (MK) to problem solving and the acquisition of more advanced concepts. General assumptions and themes of current cognitive research on mathematics learning in schoolchildren are discussed, focusing on issues facilitating the transfer of MK. (TJH)

  11. Elementary Mathematics Teachers' Knowledge of Equity Pedagogy

    ERIC Educational Resources Information Center

    Jackson, Christa

    2013-01-01

    Currently, mathematics instruction in U.S. classrooms is far from achieving equity for African American students. This qualitative study reports the results of eight successful elementary mathematics teachers' knowledge of equity pedagogy, specifically their knowledge of culturally relevant pedagogy, cultural competence, and critical…

  12. Prospective Secondary Mathematics Teachers' Perspectives and Mathematical Knowledge for Teaching

    ERIC Educational Resources Information Center

    Karagöz-Akar, Gülseren

    2016-01-01

    This study investigated the relationship between prospective secondary mathematics teachers' perspectives and their mathematical knowledge for teaching in action. Data from two prospective teachers' practice-teachings, one in geometry and one in algebra, their lesson plans and self-reflections were analyzed with Teacher Perspectives and Knowledge…

  13. Depth of Teachers' Knowledge: Frameworks for Teachers' Knowledge of Mathematics

    ERIC Educational Resources Information Center

    Holmes, Vicki-Lynn

    2012-01-01

    This article describes seven teacher knowledge frameworks and relates these frameworks to the teaching and assessment of elementary teacher's mathematics knowledge. The frameworks classify teachers' knowledge and provide a vocabulary and common language through which knowledge can be discussed and assessed. These frameworks are categorized into…

  14. Considering Indigenous Knowledges and Mathematics Curriculum

    ERIC Educational Resources Information Center

    Sterenberg, Gladys

    2013-01-01

    Across Canada, significant program changes in school mathematics have been made that encourage teachers to consider Aboriginal perspectives. In this article, I investigate one Aboriginal teacher's approaches to integrating Indigenous knowledges and the mandated mathematics curriculum in a Blackfoot First Nation school. Using a framework that…

  15. Can Pedagogical Concerns Eclipse Mathematical Knowledge?

    ERIC Educational Resources Information Center

    Creager, Mark A.; Jacobson, Erik; Aydeniz, Fetiye

    2016-01-01

    Mathematical knowledge for teaching (MKT) is often thought of as a transformed, mutually-influencing mixture of content and pedagogy. However when individuals' MKT does not integrate content and pedagogy, one type of knowledge can supersede the other, sometimes unconsciously. We exemplify this with Emma, a prospective elementary teacher, whose…

  16. A History of Mathematics Course to Develop Prospective Secondary Mathematics Teachers' Knowledge for Teaching

    ERIC Educational Resources Information Center

    Huntley, Mary Ann; Flores, Alfinio

    2010-01-01

    The authors describe ways in which a history of mathematics course can help prospective teachers of mathematics develop knowledge they will need for teaching. The types of knowledge include content knowledge of mathematics, knowledge of mathematics for teaching, and pedagogical knowledge.

  17. Mathematics university teachers' perception of pedagogical content knowledge (PCK)

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    Khakbaz, Azimehsadat

    2016-02-01

    Teaching mathematics in university levels is one of the most important fields of research in the area of mathematics education. Nevertheless, there is little information about teaching knowledge of mathematics university teachers. Pedagogical content knowledge (PCK) provides a suitable framework to study knowledge of teachers. The purpose of this paper is to make explicit the perception of mathematics university teachers about PCK. For this purpose, a phenomenological study was done. Data resources included semi-structured interviews with 10 mathematics university teachers who were in different places of the mathematics university teaching experience spectrum. Data analysis indicated a model consisting of four cognitive themes which are mathematics syntactic knowledge, knowledge about mathematics curriculum planning, knowledge about students' mathematics learning and knowledge about creating an influential mathematics teaching-learning environment. Besides, it was found out that three contextual themes influenced on PCK for teaching mathematics in university levels which were the nature of mathematics subjects, university teachers' features and terms of learning environment.

  18. Connected Knowledge in Science and Mathematics Education

    NASA Astrophysics Data System (ADS)

    Zohar, Anat

    2006-10-01

    While the traditional meaning of connected knowledge is valuable in some school subjects, it does not address the main activities of knowledge acquisition in subjects such as physics and mathematics. The goal of this article is to analyze the relationships between the concepts “learning for understanding” and “connected knowledge”, a central theme in feminist epistemology. In learning for understanding, the learner forms multiple, intricate connections among the concepts she is studying in school, between school concepts and her everyday concepts, and between school concepts and their wider context. Viewing connected knowledge as tightly related to understanding has several important implications. It brings connected knowledge into the central learning activities that take place in school science and mathematics, and gives it a high status. It contributes to our understanding of gender-related patterns in thinking; and it may form a unifying theoretical framework for many studies and projects in the field of gender fair education.

  19. Emergence of Mathematical Knowledge Structures. Introspection

    ERIC Educational Resources Information Center

    Stehlikova, Nada

    2003-01-01

    In the study, a part of longitudinal research focused on the emergence of mathematical knowledge structures in a learner's mind is presented. It concentrates on the analysis of introspective data gained from the author's study of a non-standard arithmetic structure in terms of the model of abstraction in context (Hershkowitz, Schwarz and Dreyfus).…

  20. Increase Productivity Through Knowledge Management

    NASA Astrophysics Data System (ADS)

    Gavrikova, N. A.; Dolgih, I. N.; Dyrina, E. N.

    2016-04-01

    Increase in competition level requires companies to improve the efficiency of work force use characterized by labor productivity. Professional knowledge of staff and its experience play the key role in it. The results of Extrusion Line operator’s working time analysis are performed in this article. The analysis revealed that the reasons of working time ineffective use connected with inadequate information exchange and knowledge management in the company. Authors suggest the way to solve this problem: the main sources of knowledge in engineering enterprise have been defined, the conditions of success and the stages of knowledge management control have been stated.

  1. Knowledge Concerning the Mathematical Horizon: A Close View

    ERIC Educational Resources Information Center

    Guberman, Raisa; Gorev, Dvora

    2015-01-01

    The main objective of this study is to identify components of teachers' mathematical knowledge for teaching, associated with the knowledge of mathematical horizon (KMH) in order to describe this type of knowledge from the viewpoint of elementary school mathematics teachers. The research population of this study consisted of 118 elementary school…

  2. Mathematics University Teachers' Perception of Pedagogical Content Knowledge (PCK)

    ERIC Educational Resources Information Center

    Khakbaz, Azimehsadat

    2016-01-01

    Teaching mathematics in university levels is one of the most important fields of research in the area of mathematics education. Nevertheless, there is little information about teaching knowledge of mathematics university teachers. Pedagogical content knowledge (PCK) provides a suitable framework to study knowledge of teachers. The purpose of this…

  3. Preservice Secondary Mathematics Teachers' Development of Mathematical Knowledge for Teaching and Their Use of Knowledge in Their Instruction

    ERIC Educational Resources Information Center

    Moon, Kyunghee

    2013-01-01

    This study examined how preservice secondary mathematics teachers developed mathematical knowledge for teaching (MKT) around representations and big ideas through mathematics and mathematics education courses. The importance of big ideas and representations in mathematics has been emphasized in national standards as well as in literature. Yet,…

  4. Examining Mathematical Knowledge for Teaching in the Mathematics Teaching Cycle: A Multiple Case Study

    ERIC Educational Resources Information Center

    Burke, Margaret Meg Kathleen

    2013-01-01

    The research indicated effective mathematics teaching to be more complex than assuming the best predictor of student achievement in mathematics is the mathematical content knowledge of a teacher. This dissertation took a novel approach to addressing the idea of what it means to examine how a teacher's knowledge of mathematics impacts student…

  5. Knowledge concerning the mathematical horizon: a close view

    NASA Astrophysics Data System (ADS)

    Guberman, Raisa; Gorev, Dvora

    2015-06-01

    The main objective of this study is to identify components of teachers' mathematical knowledge for teaching, associated with the knowledge of mathematical horizon (KMH) in order to describe this type of knowledge from the viewpoint of elementary school mathematics teachers. The research population of this study consisted of 118 elementary school mathematics teachers who responded to an open-ended questionnaire. Findings of this study illustrate that KMH can be considered as a separate category according to teachers' voice. An analysis of teachers' utterances resulted in three KMH characteristics: insight of subject matter, mathematical connections, and understanding of meta-mathematics.

  6. Measuring Teachers' Mathematical Knowledge. CSE Technical Report 696

    ERIC Educational Resources Information Center

    Heritage, Margaret; Vendlinski, Terry

    2006-01-01

    Teachers' knowledge of mathematics is pivotal to their capacity to provide effective mathematics instruction and to their ability to assess student learning (Ball, Hill, & Bass, 2005; Ma, 1999; Schifter, 1999). The National Council for the Teaching of Mathematics (NCTM, 2000) makes it clear that teachers need knowledge of the whole domain as well…

  7. Horizon Content Knowledge: Shaping MKT for a Continuous Mathematical Education

    ERIC Educational Resources Information Center

    Fernández, Sainza; Figueiras, Lourdes

    2014-01-01

    Mathematics learning is a continuous process in which students face some abrupt episodes involving many changes of different natures. This work is focused on one of those episodes, transition from primary to secondary school, and targets teachers and their mathematical knowledge. By characterising the mathematical knowledge that teachers of…

  8. Public knowledge about AIDS increasing.

    PubMed

    Campbell, M J; Waters, W E

    1987-04-01

    In response to concern over the perceived limited effectiveness of Department of Health and Social Security (UK) advertising campaigns to inform the public of the basic facts of Acquired Immunodeficiency Syndrome (AIDS), a prospective questionnaire study was undertaken in Southampton, England to test the effectiveness of government education prior to a January, 1987 government television/leaflet advertising campaign. 300 questionnaires about AIDS were mailed in December of 1986 to a sample drawn from electoral rolls. The response rate was 61%. Most of the questions were drawn from material covered in the campaign. The results seemed to indicate a small overall increase in knowledge about AIDS. Some changes from a June survey were noted, e.g.: more people were aware that AIDS is a virus for which there is no cure and that it is not readily transmitted by sharing washing, eating or drinking utensils; more people believed that the statement that women are at greater risk for catching AIDS is false. Respondents were generally favorable to the government's continued use of television, even with explicit language, and to its use of the schools, for AIDS education. Many were not aware of the dangers to intravenous drug users or of the symptoms of AIDS. Other surveys have shown an increasing knowledge of AIDS dangers. It is possible that television coverage of the problem will continue to be necessary, in order that less literate populations be reached. Further AIDS health education in general is needed. PMID:3105789

  9. Knowledge and Knowing in Mathematics and Pedagogy: A Case Study of Mathematics Student Teachers' Epistemological Beliefs

    ERIC Educational Resources Information Center

    Löfström, Erika; Pursiainen, Tuomas

    2015-01-01

    This study focuses on mathematics student teachers' epistemological beliefs in mathematics and education. The study aimed at gaining insight into the challenges that students experience in the consolidation of knowledge in the two disciplines. The case study with three mathematics pre-service teachers utilised mathematical and pedagogical…

  10. How Mathematical Knowledge for Teaching May Profit from the Study of History of Mathematics

    ERIC Educational Resources Information Center

    Mosvold, Reidar; Jakobsen, Arne; Jankvist, Uffe Thomas

    2014-01-01

    In this theoretical article, we aim at theorizing the old statement that mathematics teachers might profit from studying the history of mathematics. We do this by drawing upon the theoretical framework of mathematical knowledge for teaching (MKT). A selection of international studies on the history and pedagogy of mathematics is used as starting…

  11. Finnish Mentor Mathematics Teachers' Views of the Teacher Knowledge Required for Teaching Mathematics

    ERIC Educational Resources Information Center

    Asikainen, Mervi A.; Pehkonen, Erkki; Hirvonen, Pekka E.

    2013-01-01

    Seven Finnish mentor mathematics teachers were interviewed about their views regarding the teacher knowledge required for teaching mathematics. The results of the interviews revealed not only the teachers' spontaneous views of the knowledge base needed for effective mathematics teaching but also their views of the particular types of teacher…

  12. Integrating pedagogical content knowledge and pedagogical/psychological knowledge in mathematics

    PubMed Central

    Harr, Nora; Eichler, Andreas; Renkl, Alexander

    2014-01-01

    In teacher education at universities, general pedagogical and psychological principles are often treated separately from subject matter knowledge and therefore run the risk of not being applied in the teaching subject. In an experimental study (N = 60 mathematics student teachers) we investigated the effects of providing aspects of general pedagogical/psychological knowledge (PPK) and pedagogical content knowledge (PCK) in an integrated or separated way. In both conditions (“integrated” vs. “separated”), participants individually worked on computer-based learning environments addressing the same topic: use and handling of multiple external representations, a central issue in mathematics. We experimentally varied whether PPK aspects and PCK aspects were treated integrated or apart from one another. As expected, the integrated condition led to greater application of pedagogical/psychological aspects and an increase in applying both knowledge types simultaneously compared to the separated condition. Overall, our findings indicate beneficial effects of an integrated design in teacher education. PMID:25191300

  13. Examining Mathematics Teacher Content Knowledge: Policy and Practice

    ERIC Educational Resources Information Center

    Esprivalo Harrell, Pamela; Eddy, Colleen McLean

    2012-01-01

    This study examines mathematics teacher content knowledge in terms of state and national policymaker recommendations, college coursework and the Mathematics Texas Examination of Educator Standards (TExES) score. Results indicate differences between state and national policy recommendations and college degrees in mathematics. A statistically…

  14. Mathematical Knowledge: Its Growth through Teaching. Mathematics Education Library, Volume 10.

    ERIC Educational Resources Information Center

    Bishop, Alan J., Ed.; And Others

    This book presents issues concerning relationships between mathematical knowledge and the teaching and learning processes, focusing especially on the genesis of mathematical knowledge in the classroom. The chapter titles are: (1) The Fragility of Knowledge (Guy Brousseau and Michael Otte); (2) The Double Bind as a Didactical Trap (Stieg…

  15. Preservice Elementary Teachers' Mathematics Content Knowledge and Teacher Efficacy

    ERIC Educational Resources Information Center

    Newton, Kristie Jones; Leonard, Jacqueline; Evans, Brian R.; Eastburn, Julie A.

    2012-01-01

    The purpose of this study was to examine the relationship between mathematics content knowledge and teacher efficacy during an elementary mathematics methods course. A positive moderate relationship between content knowledge and personal teaching efficacy was found, and this relationship was stable during the course. No relationship was found…

  16. The Microevolution of Mathematical Knowledge: The Case of Randomness.

    ERIC Educational Resources Information Center

    Pratt, Dave; Noss, Richard

    2002-01-01

    Explores the growth of mathematical knowledge and the relationship between abstraction and context. Builds on work to construct a viable model of the micro-evolution of mathematical knowledge in context whose central feature is the visibility of its mechanisms. Illustrates a case study of 10-11-year-old children's construction of meanings for…

  17. Elementary Teachers' Mathematical Knowledge for Teaching Prerequisite Algebra Concepts

    ERIC Educational Resources Information Center

    Welder, Rachael M.; Simonsen, Linda M.

    2011-01-01

    The current study investigated the effects of an undergraduate mathematics content course for pre-service elementary teachers. The participants' content knowledge was quantitatively measured using an instrument comprised of items from the Mathematical Knowledge for Teaching Measures (Hill, Schilling, & Ball, 2004). Using a one-group…

  18. Sean vs. Cantor: Using Mathematical Knowledge in "Experience of Disturbance"

    ERIC Educational Resources Information Center

    Zazkis, Rina; Mamolo, Ami

    2009-01-01

    Mathematical knowledge used in teaching has attracted the interest of many researchers, but was mainly explored considering teaching at the elementary school level. This paper attends to mathematical knowledge used in teaching at the University level. We present a story about a student suggesting reconsideration of Cantor's diagonal method and the…

  19. Prospective Middle Grade Mathematics Teachers' Knowledge of Algebra for Teaching

    ERIC Educational Resources Information Center

    Huang, Rongjin; Kulm, Gerald

    2012-01-01

    This study examined prospective middle grade mathematics teachers' knowledge of algebra for teaching with a focus on knowledge for teaching the concept of function. 115 prospective teachers from an interdisciplinary program for mathematics and science middle teacher preparation at a large public university in the USA participated in a survey. It…

  20. Selecting and Sequencing Mathematics Tasks: Seeking Mathematical Knowledge for Teaching

    ERIC Educational Resources Information Center

    Galant, Jaamia

    2013-01-01

    In this article, I present an initial analysis of an empirical study that was undertaken in an attempt to elicit what subject-matter knowledge, pedagogic content knowledge and curriculum knowledge teachers bring to bear on decisions for teaching. The analysis is based on interview data with 46 Grade 3 teachers, who were presented with two…

  1. Why (Urban) Mathematics Teachers Need Political Knowledge

    ERIC Educational Resources Information Center

    Gutiérrez, Rochelle

    2013-01-01

    Rochelle Gutiérrez has spent 15 years researching effective, urban high school mathematics departments that served Black, Latin@ and low-income adolescents (see, e.g., Gutiérrez, 1996, 1999a, 1999b, 2000, 2002). These were schools where students took more mathematics than was required by their district; where English learners, recent immigrants,…

  2. Mathematical Ability Relies on Knowledge, Too

    ERIC Educational Resources Information Center

    Sweller, John; Clark, Richard E.; Kirschner, Paul A.

    2011-01-01

    Recent "reform" curricula both ignore the absence of supporting data and completely misunderstand the role of problem solving in cognition. If, the argument goes, teachers are not really teaching people mathematics but rather are teaching them some form of general problem solving, then mathematical content can be reduced in importance. According…

  3. An Investigation of Relationships between Students' Mathematical Problem-Posing Abilities and Their Mathematical Content Knowledge

    ERIC Educational Resources Information Center

    Van Harpen, Xianwei Y.; Presmeg, Norma C.

    2013-01-01

    The importance of students' problem-posing abilities in mathematics has been emphasized in the K-12 curricula in the USA and China. There are claims that problem-posing activities are helpful in developing creative approaches to mathematics. At the same time, there are also claims that students' mathematical content knowledge could be highly…

  4. Mitigating the Mathematical Knowledge Gap between High School and First Year University Chemical Engineering Mathematics Course

    ERIC Educational Resources Information Center

    Basitere, Moses; Ivala, Eunice

    2015-01-01

    This paper reports on a study carried out at a University of Technology, South Africa, aimed at identifying the existence of the mathematical knowledge gap and evaluating the intervention designed to bridge the knowledge gap amongst students studying first year mathematics at the Chemical Engineering Extended Curriculum Program (ECP). In this…

  5. Building Mathematical Knowledge in an Authentic Mobile Phone Environment

    ERIC Educational Resources Information Center

    Daher, Wajeeh

    2010-01-01

    Although many researchers have examined knowledge building in traditional settings and distance learning, few have examined middle school students' building of mathematical knowledge using mobile phones. The present study uses two well-known models of knowledge building to carry out the examination: the interactive analysis model of knowledge…

  6. Theoretical Framework of Researcher Knowledge Development in Mathematics Education

    ERIC Educational Resources Information Center

    Kontorovich, Igor'

    2016-01-01

    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…

  7. Changes in School Mathematics Knowledge in Greece: A Bernsteinian Analysis

    ERIC Educational Resources Information Center

    Koustourakis, Gerasimos; Zacharos, Konstantinos

    2011-01-01

    The purpose of this paper is to critically examine the changes that took place in school mathematics knowledge for pupils aged six and seven (first grade of Greek elementary school) and its pedagogical approach, which took shape following the reforms of the mathematics curricula in 1982 and 2003. Our analysis is based on Bernstein's theoretical…

  8. Mathematical Knowledge of Japanese, Chinese, and American Elementary School Children.

    ERIC Educational Resources Information Center

    Stigler, James W.; And Others

    This study compared the results of group tests of computational skills and tests of knowledge and skills in mathematics between three groups of first and fifth grade students from the United States, Japan, and Taiwan. The battery of tests were constructed after reviewing the mathematics textbooks used in each location and discussing the major…

  9. Investigating Mathematical Knowledge for Teaching Proof in Professional Development

    ERIC Educational Resources Information Center

    Lesseig, Kristin

    2016-01-01

    Research documenting teachers' fragile understanding of proof and how it is advanced suggests that enhancing the role of proof in school mathematics will demand substantial teacher learning. To date, there is little research detailing what mathematical knowledge might support the teaching of proof or how professional development (PD) might afford…

  10. Technological Pedagogical Content Knowledge of Secondary Mathematics Teachers

    ERIC Educational Resources Information Center

    Handal, Boris; Campbell, Chris; Cavanagh, Michael; Petocz, Peter; Kelly, Nick

    2013-01-01

    The integration of technology, pedagogy, and content in the teaching of secondary mathematics was explored among 280 secondary mathematics teachers in the State of New South Wales, Australia. The study adopted the technological pedagogical content knowledge (TPCK) model through the administration of a 30-item instrument called TPCK-M. The…

  11. Pre-Service Mathematics Teachers' Knowledge of History of Mathematics and Their Attitudes and Beliefs towards Using History of Mathematics in Mathematics Education

    ERIC Educational Resources Information Center

    Alpaslan, Mustafa; Isiksal, Mine; Haser, Çigdem

    2014-01-01

    This study examined pre-service mathematics teachers' knowledge of history of mathematics and their attitudes and beliefs towards using history of mathematics in mathematics education based on year level in teacher education program and gender. The sample included 1,593 freshman, sophomore, junior, and senior pre-service middle school (grades…

  12. "Concreteness Fading" Promotes Transfer of Mathematical Knowledge

    ERIC Educational Resources Information Center

    McNeil, Nicole M.; Fyfe, Emily R.

    2012-01-01

    Recent studies have suggested that educators should avoid concrete instantiations when the goal is to promote transfer. However, concrete instantiations may benefit transfer in the long run, particularly if they are "faded" into more abstract instantiations. Undergraduates were randomly assigned to learn a mathematical concept in one of three…

  13. The Transition from Informal to Formal Mathematical Knowledge: Mediation by Numeral Knowledge

    ERIC Educational Resources Information Center

    Purpura, David J.; Baroody, Arthur J.; Lonigan, Christopher J.

    2013-01-01

    The purpose of the present study was to determine if numeral knowledge--the ability to identify Arabic numerals and connect Arabic numerals to their respective quantities--mediates the relation between informal and formal mathematical knowledge. A total of 206 3- to 5-year-old preschool children were assessed on 6 informal mathematics tasks and 2…

  14. Preservice Teachers' Knowledge of Proof by Mathematical Induction

    ERIC Educational Resources Information Center

    Stylianides, Gabriel J.; Stylianides, Andreas J.; Philippou, George N.

    2007-01-01

    There is a growing effort to make "proof" central to all students' mathematical experiences across all grades. Success in this goal depends highly on teachers' knowledge of proof, but limited research has examined this knowledge. This paper contributes to this domain of research by investigating preservice elementary and secondary school…

  15. Exploring the Mathematical Knowledge Needed for Teaching Teachers

    ERIC Educational Resources Information Center

    Castro Superfine, Alison; Li, Wenjuan

    2014-01-01

    The purpose of this study is to explore the knowledge demands of teacher educators as they teach disciplinary content to preservice elementary teachers, specifically in mathematics, and to understand how such knowledge is different from that used by K-12 teachers. Drawing from a database including teaching and learning artifacts from five…

  16. The Relationship between Mathematical Knowledge of Numbers and Operations and Mathematics Beliefs of Prospective Teachers

    ERIC Educational Resources Information Center

    Stiegelmeyer, Cindy

    2012-01-01

    This study surveyed 82 preservice elementary teachers using items from an instrument designed to predict student achievement based on a teacher's mathematics knowledge for teaching (MKT) in numbers and operations concepts. Additional mathematics beliefs items asked participants to rate their level of agreement with math myths and math anxiety…

  17. Pre-Service Elementary Teachers' Mathematics Content Knowledge: A Predictor of Sixth Graders' Mathematics Performance

    ERIC Educational Resources Information Center

    Shirvani, Hosin

    2015-01-01

    This study examined the knowledge of mathematics content of elementary pre-service teachers at a sixth grade level. The researcher administered a mathematics test for sixth graders mandated by the Texas Education Agency to pre-service teachers; the same test was given to sixth graders in Texas. The study found that pre-service teachers performed…

  18. Understanding Malaysian Pre-Service Teachers Mathematical Content Knowledge and Pedagogical Content Knowledge

    ERIC Educational Resources Information Center

    Leong, Kwan Eu; Meng, Chew Cheng; Rahim, Suzieleez Syrene Abdul

    2015-01-01

    This article seeks to present findings from the analysis of the TEDS-M reports on the mathematical content knowledge (MCK) and pedagogical content knowledge (PCK) of the pre-service teachers in Malaysia. The main objective of this study was to investigate the level of teaching knowledge attained by the Malaysian pre-service primary and secondary…

  19. Advanced Mathematical Knowledge in Teaching Practice: Perceptions of Secondary Mathematics Teachers

    ERIC Educational Resources Information Center

    Zazkis, Rina; Leikin, Roza

    2010-01-01

    For the purpose of our research we define Advanced Mathematical Knowledge (AMK) as knowledge of the subject matter acquired during undergraduate studies at colleges or universities. We examine the responses of secondary school teachers about their usage of AMK in teaching. We find that the majority of teachers focus on the purposes and advantages…

  20. Toward a Framework for the Development of Mathematical Knowledge for Teaching

    ERIC Educational Resources Information Center

    Silverman, Jason; Thompson, Patrick W.

    2008-01-01

    Shulman (1986, 1987) coined the term "pedagogical content knowledge" (PCK) to address what at that time had become increasingly evident--that content knowledge itself was not sufficient for teachers to be successful. Throughout the past two decades, researchers within the field of mathematics teacher education have been expanding the notion of PCK…

  1. Constructing Mathematical Knowledge: Epistemology and Mathematics Education. Studies in Mathematics Education Series: 4.

    ERIC Educational Resources Information Center

    Ernest, Paul, Ed.

    This book illustrates the breadth of theoretical and philosophical perspectives that can be brought to bear on mathematics and education. Part 1, "Constructivism and the Learning of Mathematics," contains the following chapters: (1) "A Radical Constructivist View of Basic Mathematical Concepts" (E. von Glasersfeld); (2) "Interaction and Children's…

  2. The Mathematical Content Knowledge of Prospective Teachers in Iceland

    ERIC Educational Resources Information Center

    Johannsdottir, Bjorg

    2013-01-01

    This study focused on the mathematical content knowledge of prospective teachers in Iceland. The sample was 38 students in the School of Education at the University of Iceland, both graduate and undergraduate students. All of the participants in the study completed a questionnaire survey and 10 were interviewed. The choice of ways to measure the…

  3. Embracing "Nepantla": Rethinking "Knowledge" and Its Use in Mathematics Teaching

    ERIC Educational Resources Information Center

    Gutiérrez, Rochelle

    2012-01-01

    Although educational researchers are moving beyond purely psychological and cognitive models of learning to consider the ways in which mathematics teaching might reach a more diverse student population, this work remains in its infancy, and the concept of "knowledge" is rarely questioned. This paper begins with the idea that mathematics…

  4. Learning and Teaching Engineering Mathematics for the Knowledge Society

    ERIC Educational Resources Information Center

    Booth, S.

    2008-01-01

    This paper addresses the issue of teaching and learning engineering mathematics in order to support a future of life-long learning in the knowledge society, based on a form of understanding that goes beyond facts, theorems and algorithms. Drawing on three research studies, the importance is shown of students' experience of reflection on study,…

  5. Mathematical Knowledge for Teaching and Task Unfolding: An Exploratory Study

    ERIC Educational Resources Information Center

    Charalambous, Charalambos Y.

    2010-01-01

    Although teachers' knowledge is thought to contribute to the selection and implementation of mathematical tasks, empirical evidence supporting this claim is scarce. To investigate this relationship and understand its nature, this exploratory study examines the unfolding of tasks in a series of lessons led by 2 elementary school teachers who…

  6. Processes and Pathways: How Do Mathematics and Science Partnerships Measure and Promote Growth in Teacher Content Knowledge?

    ERIC Educational Resources Information Center

    Moyer-Packenham, Patricia S.; Westenskow, Arla

    2012-01-01

    Intense focus on student achievement results in mathematics and science has brought about claims that K-12 teachers should be better prepared to teach basic concepts in these disciplines. The focus on teachers' mathematics and science content knowledge has been met by efforts to increase teacher knowledge through funded national initiatives…

  7. A "Knowledge Quartet" Used to Identify a Second-Year Pre-Service Teacher's Primary Mathematical Content Knowledge

    ERIC Educational Resources Information Center

    Livy, Sharyn

    2010-01-01

    This paper draws on observation of a primary mathematics lesson prepared and taught by a second-year pre-service teacher who lacked mathematical content knowledge. A "knowledge quartet" (Rowland, Turner, Thwaites, & Huckstep, 2009) was used to investigate when and how a pre-service teacher drew on their knowledge of mathematics during primary…

  8. The Impact of Teacher Content Knowledge in Mathematics and Teacher Efficacy on Fifth Graders' Achievement in Mathematics

    ERIC Educational Resources Information Center

    Armstrong, Kevin D.

    2013-01-01

    The purpose of this research project was to evaluate fifth grade teacher mathematical content knowledge, compare that mathematical content knowledge to efficacy in teaching the new rigorous mathematical standards, and to ascertain if these two factors played a role in student achievement. Quantitative results were derived from student assessment…

  9. Definitions of Mathematical Knowledge for Teaching: Using These Constructs in Research on Secondary and College Mathematics Teachers

    ERIC Educational Resources Information Center

    Speer, Natasha M.; King, Karen D.; Howell, Heather

    2015-01-01

    The construct "mathematical knowledge for teaching" (MKT) has received considerable attention in the mathematics education community in recent years. The development and refinement of the MKT construct, including the components of common content knowledge (CCK) and specialized content knowledge (SCK), came from research into elementary…

  10. Visual Programming: A Programming Tool for Increasing Mathematics Achivement

    ERIC Educational Resources Information Center

    Swanier, Cheryl A.; Seals, Cheryl D.; Billionniere, Elodie V.

    2009-01-01

    This paper aims to address the need of increasing student achievement in mathematics using a visual programming language such as Scratch. This visual programming language facilitates creating an environment where students in K-12 education can develop mathematical simulations while learning a visual programming language at the same time.…

  11. Slowing presentation speed increases illusions of knowledge.

    PubMed

    Fazio, Lisa K; Marsh, Elizabeth J

    2008-02-01

    Prior research on false memories has shown that suggestibility is often reduced when the presentation rate is slowed enough to allow monitoring. We examined whether slowing presentation speed would reduce factual errors learned from fictional stories. Would subjects use the extra time to detect the errors in the stories, reducing reproduction of these errors on a later test? Surprisingly, slowing presentation speed increased the production of story errors on a later general knowledge test. Instructing the reader to mark whether each sentence contained an error, however, did decrease suggestibility. Readers appear to passively accept information presented in stories and need a constant reminder to monitor for errors. These results highlight differences between typical episodic false memories and illusions of knowledge (such as learning from fiction). Manipulations that reduce suggestibility for episodic false memories do not always reduce suggestibility for illusions of knowledge.

  12. What's Past Is Prologue: Relations between Early Mathematics Knowledge and High School Achievement

    ERIC Educational Resources Information Center

    Watts, Tyler W.; Duncan, Greg J.; Siegler, Robert S.; Davis-Kean, Pamela E.

    2014-01-01

    Although previous research has established the association between early-grade mathematics knowledge and later mathematics achievement, few studies have measured mathematical skills prior to school entry, and few have investigated the predictive power of early gains in mathematics ability. The current paper relates mathematical skills measured at…

  13. Prospective Secondary Mathematics Teachers' Pedagogical Knowledge for Teaching the Estimation of Length Measurements

    ERIC Educational Resources Information Center

    Subramaniam, Karthigeyan

    2014-01-01

    Prospective secondary mathematics teachers' pedagogical knowledge for teaching the estimation of length measurements was investigated by examining their personal benchmarks for measurement estimation. Benchmarks for measurement estimation are the meaningful representations of units that serve to increase one's understanding of…

  14. Addressing Prospective Elementary Teachers' Mathematics Subject Matter Knowledge through Action Research

    ERIC Educational Resources Information Center

    Hourigan, Mairéad; O'Donoghue, John

    2015-01-01

    There is international dissatisfaction regarding the standard of mathematics subject matter knowledge (MSMK) evident among both qualified and prospective elementary teachers. Ireland is no exception. Following increasing anecdotal evidence of prospective elementary teachers in one Irish College of Education (provider of initial teacher education…

  15. The Use of Video Analysis and the Knowledge Quartet in Mathematics Teacher Education Programmes

    ERIC Educational Resources Information Center

    Liston, Miriam

    2015-01-01

    This study investigates the potential of video analysis and a mathematical knowledge for teaching framework, the Knowledge Quartet (KQ), in mathematics teacher education programmes. It reports on the effectiveness of these tools in analysing and supporting secondary level pre-service mathematics teachers' subject matter knowledge and…

  16. Elementary school quality, the mathematics curriculum and the role of local knowledge

    NASA Astrophysics Data System (ADS)

    Balfanz, Robert

    1990-03-01

    This article uses data from several elementary school classrooms in Chicago on how students learn to calculate, and reviews similar data from a number of developing countries to examine the strengths and limitations of using the mathematical knowledge which students develop on their own outside of formal schooling to increase the amount, range and power of mathematical knowledge which is acquired through formal schooling. In so doing it attempts to reconcile the views of those who believe that the key to improving elementary school quality lies in improving the technology of instruction and those who believe that it lies in a deeper understanding of the mental life of children. It concludes by arguing that the quality of elementary schooling can be improved through skilled management of the environmentally acquired knowledge which students bring to instruction, if this knowledge is transformed through pedagogic and curricular interventions into a set of portable intellectual skills.

  17. Learning to teach upper primary school algebra: changes to teachers' mathematical knowledge for teaching functional thinking

    NASA Astrophysics Data System (ADS)

    Wilkie, Karina J.

    2016-06-01

    A key aspect of learning algebra in the middle years of schooling is exploring the functional relationship between two variables: noticing and generalising the relationship, and expressing it mathematically. This article describes research on the professional learning of upper primary school teachers for developing their students' functional thinking through pattern generalisation. This aspect of algebra learning has been explicitly brought to the attention of upper primary teachers in the recently introduced Australian curriculum. Ten practising teachers participated over 1 year in a design-based research project involving a sequence of geometric pattern generalisation lessons with their classes. Initial and final survey responses and teachers' interactions in regular meetings and lessons were analysed from cognitive and situated perspectives on professional learning, using a theoretical model for the different types of knowledge needed for teaching mathematics. The teachers demonstrated an increase in certain aspects of their mathematical knowledge for teaching algebra as well as some residual issues. Implications for the professional learning of practising and pre-service teachers to develop their mathematics knowledge for teaching functional thinking, and challenges with operationalising knowledge categories for field-based research are presented.

  18. Examining Mathematics Teacher Content Knowledge Using Policy, State Certification Tests and Transcripts

    ERIC Educational Resources Information Center

    Harrell, Pamela Esprivalo; Eddy, Colleen McLean

    2011-01-01

    This study examined mathematics teacher content knowledge in terms of policy maker recommendations, college coursework and teacher certification mathematics test scores. Transcript analysis indicated poor alignment of national policy maker recommendations for mathematics teachers and college degrees in mathematics. Teacher certification test…

  19. Building Knowledge Structures by Testing Helps Children with Mathematical Learning Difficulty

    ERIC Educational Resources Information Center

    Zhang, Yiyun; Zhou, Xinlin

    2016-01-01

    Mathematical learning difficulty (MLD) is prevalent in the development of mathematical abilities. Previous interventions for children with MLD have focused on number sense or basic mathematical skills. This study investigated whether mathematical performance of fifth grade children with MLD could be improved by developing knowledge structures by…

  20. Emphasis on Conceptual Knowledge and Its Impact on Mathematics Anxiety for Community College Students

    ERIC Educational Resources Information Center

    Khoule, Alioune

    2013-01-01

    The study investigated the relationship between conceptual knowledge and mathematics anxiety of remedial mathematics students in an urban community college. The impact that conceptual understanding has on mathematics achievement was also examined. The study sample consisted of 105 remedial mathematics students from four elementary algebra courses.…

  1. What’s Past is Prologue: Relations Between Early Mathematics Knowledge and High School Achievement

    PubMed Central

    Watts, Tyler W.; Duncan, Greg J.; Siegler, Robert S.; Davis-Kean, Pamela E.

    2015-01-01

    Although previous research has established the association between early-grade mathematics knowledge and later mathematics achievement, few studies have measured mathematical skills prior to school entry, nor have they investigated the predictive power of early gains in mathematics ability. The current paper relates mathematical skills measured at 54 months to adolescent mathematics achievement using multi-site longitudinal data. We find that preschool mathematics ability predicts mathematics achievement through age 15, even after accounting for early reading, cognitive skills, and family and child characteristics. Moreover, we find that growth in mathematical ability between age 54 months and first grade is an even stronger predictor of adolescent mathematics achievement. These results demonstrate the importance of pre-kindergarten mathematics knowledge and early math learning for later achievement. PMID:26806961

  2. Reliability of the Content Knowledge for Teaching-Mathematics Instrument for Pre-Service Teachers

    ERIC Educational Resources Information Center

    Gleason, Jim

    2010-01-01

    The Content Knowledge for Teaching Mathematics instrument was developed by the Study for Instructional Improvement and Learning Mathematics for Teaching projects at the University of Michigan to measure elementary school and middle school in-service teachers' mathematical knowledge for teaching to assist in the evaluation of professional…

  3. The Effect of Information Mapping Strategy on Mathematics Conceptual Knowledge of Junior High School Students

    ERIC Educational Resources Information Center

    Zulnaidi, Hutkemri; Zakaria, Effandi

    2010-01-01

    The purpose of this study was to determine the effect of information mapping strategy on mathematics conceptual knowledge of junior high school students in Rokan Hulu Riau, Indonesia. The study also examined the relationship between mathematics conceptual knowledge and mathematics achievement. Using a quasi-experimental method, the study was…

  4. Comparing Knowledge Bases and Reasoning Structures in Discussions of Mathematics and Pedagogy

    ERIC Educational Resources Information Center

    Steele, Michael D.

    2005-01-01

    While teaching, teachers need to access both their knowledge of mathematics and knowledge of pedagogy. Practice-based materials afford teachers opportunities to reason about both mathematics and pedagogy within the context of teaching. Accepted systems exist for explaining and reasoning in the domain of mathematics; logic, procedures, and…

  5. Status of Teachers' Proficiency in Mathematical Knowledge for Teaching at Secondary School Level in Kenya

    ERIC Educational Resources Information Center

    Miheso-O'Connor Khakasa, Marguerite; Berger, Margot

    2016-01-01

    Mathematical knowledge for teaching (MKT), defined by Ball ("Elementary Journal," 93, 373-397, 1993) as knowledge that is needed to teach mathematics, has been used as a framework by researchers to interrogate various aspects of teaching and learning mathematics. In this article, which draws from a larger study, we show how an in-depth…

  6. On the Relationships between (Relatively) Advanced Mathematical Knowledge and (Relatively) Advanced Problem-Solving Behaviours

    ERIC Educational Resources Information Center

    Koichu, Boris

    2010-01-01

    This article discusses an issue of inserting mathematical knowledge within the problem-solving processes. Relatively advanced mathematical knowledge is defined in terms of "three mathematical worlds"; relatively advanced problem-solving behaviours are defined in terms of taxonomies of "proof schemes" and "heuristic behaviours". The relationships…

  7. An Exploration of the Common Content Knowledge of High School Mathematics Teachers

    ERIC Educational Resources Information Center

    Bansilal, Sarah; Brijlall, Deonarain; Mkhwanazi, Thokozani

    2014-01-01

    Many studies point to the problem of poor mathematics content knowledge of mathematics teachers in South Africa. The purpose of this study was to investigate teachers' knowledge of the mathematics they are themselves teaching. Data was generated from the teachers' (n = 253) written responses to test that was a shortened form of a…

  8. The Effects of Changes in Mathematical Knowledge on Teaching: A Longitudinal Study of Teachers' Knowledge and Instruction

    ERIC Educational Resources Information Center

    Copur-Gencturk, Yasemin

    2015-01-01

    In this study, I examined the relationship between teachers' mathematical knowledge and instruction. Twenty-one K-8 teachers who were enrolled in a master's program were followed for 3 years to study how their mathematical knowledge and teaching changed over time. The results of multilevel growth models indicated that gains in teachers'…

  9. Indonesian Primary Teachers' Mathematical Knowledge for Teaching Geometry: Implications for Educational Policy and Teacher Preparation Programs

    ERIC Educational Resources Information Center

    Ng, Dicky

    2011-01-01

    This study examines Indonesian primary teachers' mathematical knowledge for teaching geometry and what factors contribute to this knowledge. A translated and adapted version of the Learning Mathematics for Teaching measures and the Indonesian Educational Survey were used to gather information on teachers' knowledge for teaching geometry and their…

  10. An Analysis of the Research on K-8 Teachers' Mathematical Knowledge.

    ERIC Educational Resources Information Center

    Mewborn, Denise S.

    This paper provides a summary and a critique of the empirical literature on elementary teachers' mathematical knowledge. The empirical evidence addresses four major issues surrounding teachers' mathematical knowledge: 1) What is the nature of teachers' content knowledge, particularly with regard to the domain of number? 2) How does teachers'…

  11. Characterizing the Development of Specialized Mathematical Content Knowledge for Teaching in Algebraic Reasoning and Number Theory

    ERIC Educational Resources Information Center

    Bair, Sherry L.; Rich, Beverly S.

    2011-01-01

    This article characterizes the development of a deep and connected body of mathematical knowledge categorized by Ball and Bass' (2003b) model of Mathematical Knowledge for Teaching (MKT), as Specialized Content Knowledge for Teaching (SCK) in algebraic reasoning and number sense. The research employed multiple cases across three years from two…

  12. Profound Understanding of Emergent Mathematics: Broadening the Construct of Teachers' Disciplinary Knowledge

    ERIC Educational Resources Information Center

    Davis, Brent; Renert, Moshe

    2013-01-01

    We discuss the teachers' disciplinary knowledge of mathematics in this article, arguing two main points as we report on a 2-year study involving 22 practicing teachers. First we argue that teachers' knowledge of mathematics might be productively construed as a complex evolving form, a significant dimension of which is tacit knowledge. Second,…

  13. The Key to Enhancing Students' Mathematical Vocabulary Knowledge

    ERIC Educational Resources Information Center

    Riccomini, Paul J.; Sanders, Sharon; Jones, Julie

    2008-01-01

    The importance of learning mathematical vocabulary is vital for the development of proficiency in mathematics. In an effort to improve students' mathematical performance, educators must use research-validated instructional methods to teach important mathematical vocabulary. Mnemonic instruction is a set of evidenced-based strategies used to…

  14. The challenges facing initial teacher education: Irish prospective elementary teachers' mathematics subject matter knowledge

    NASA Astrophysics Data System (ADS)

    Hourigan, Mairéad; O'Donoghue, John

    2013-01-01

    Given the acknowledged relationship between teachers' knowledge, their teaching and pupil learning, teachers' mathematics subject matter knowledge (MSMK) has received increased attention internationally. As children's early mathematics experiences have been recognized as a critical stage, elementary teachers' MSMK has become a focal point among researchers and policy makers alike. International research findings have uncovered that in many cases, there is a mismatch between what is perceived to be an appropriate MSMK for teaching elementary mathematics and that demonstrated by many qualified and prospective elementary teachers. Following repeated incidences of weak MSMK during interactions with prospective elementary teachers in one Irish College of Education (provider of initial teacher education programme for elementary teachers), this study sought to examine and address the issue purposefully through two cycles of action research. This article focuses on the data collected prospective teachers' MSMK in the initial stage (reconnaissance) of these cycles, i.e. pre-test findings. While considerable differences were evident among the pre-test population, the findings suggest that prior to the intervention stage many participating prospective teachers; regardless of previous mathematics achievements or the level of mathematics study; demonstrate weaknesses and gaps in their 'common' MSMK. Particular difficulties were evident in relation to pre-test items requiring knowledge of rational numbers, conceptual understanding or problem solving. These findings highlight the inadequacy of previous mathematics achievements and indeed minimum entry requirements as predictors of MSMK for teaching. As well as its contribution at a local and national level, the findings provide an Irish perspective on this international issue.

  15. Using Differentiated Instruction to Increase Mathematics Achievement in Elementary Students

    ERIC Educational Resources Information Center

    Faulkner, Jennifer H.

    2013-01-01

    As evidenced by the poor mathematics performance in American schools, specifically in the school district in the current study, providing identical educational opportunities for diverse students does not necessarily increase academic achievement for everyone. Differentiation is an instructional method that has been found to be successful in…

  16. The Impact of Mathematics Professional Development on Elementary Teachers' Mathematics Content Knowledge for Teaching and Implementation of Innovative Pedagogical Practices

    ERIC Educational Resources Information Center

    Oleson, Vicki

    2010-01-01

    This study sought to understand the process of change elementary teachers experienced as they participated in mathematics professional development. This investigation explored the impact of mathematics professional development on teachers' content knowledge for teaching, their ability to implement innovative pedagogical practices, and the…

  17. Mathematics as an Im/Pure Knowledge System: Symbiosis, (W)Holism and Synergy in Mathematics Education

    ERIC Educational Resources Information Center

    Luitel, Bal Chandra

    2013-01-01

    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 universality and…

  18. The Relationship between Scores of Mathematics Knowledge and Teaching Practice of Diploma Mathematics Students: A Quest for Quality Assurance

    ERIC Educational Resources Information Center

    Adamu, L. E.

    2015-01-01

    The purpose of the study was to determine the relationship between scores in mathematics knowledge and teaching practice of Diploma mathematics students. A sample of 39 students was used. Two research questions and two hypotheses were asked and formulated respectively. An ex-post facto correlation design was used. The data were analyzed using…

  19. Mathematical Knowledge and Skills Expected by Higher Education in Engineering and the Social Sciences: Implications for High School Mathematics Curriculum

    ERIC Educational Resources Information Center

    Basaran, Mehmet; Özalp, Gülümser; Kalender, Ilker; Alacaci, Cengiz

    2015-01-01

    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…

  20. Infusing Mathematics Content into a Methods Course: Impacting Content Knowledge for Teaching

    ERIC Educational Resources Information Center

    Burton, Megan; Daane, C. J.; Giesen, Judy

    2008-01-01

    This study compared content knowledge for teaching mathematics differences between elementary pre-service teachers in a traditional versus an experimental mathematics methods course. The experimental course replaced 20 minutes of traditional methods, each class, with an intervention of elementary mathematics content. The difference between groups…

  1. Supporting the Development of Mathematical Knowledge for Teaching through Online Asynchronous Collaboration

    ERIC Educational Resources Information Center

    Silverman, Jason

    2011-01-01

    In this paper, we report on our efforts to support teachers' development of mathematical knowledge for teaching through online professional development focusing on authentic engagement in collaborative mathematical problem solving. In particular, this paper seeks to explore and understand the relationship between online mathematical collaboration…

  2. The Influence of University Courses and Field Experiences on Chinese Elementary Candidates' Mathematical Knowledge for Teaching

    ERIC Educational Resources Information Center

    Youngs, Peter; Qian, Hong

    2013-01-01

    In this article, we draw on survey data to investigate associations between Chinese elementary teaching candidates’ mathematical knowledge for teaching (MKT) and their experiences in mathematics courses, mathematics methods courses, and student teaching. In our study, we found that (a) Chinese teaching candidates' completion of courses in number…

  3. What Math Matters? Types of Mathematics Knowledge and Relationships to Methods Course Performance

    ERIC Educational Resources Information Center

    Kajander, Ann; Holm, Jennifer

    2016-01-01

    This study investigated the effect of a departmental focus on enhanced mathematics knowledge for teaching on overall performance in upper elementary mathematics methods courses. The study examined the effect of performance on a new course in mathematics for teaching on performance at the methods course level. In addition, the effect of performance…

  4. Orienteering in Knowledge Spaces: The Hyperbolic Geometry of Wikipedia Mathematics

    PubMed Central

    Leibon, Gregory; Rockmore, Daniel N.

    2013-01-01

    In this paper we show how the coupling of the notion of a network with directions with the adaptation of the four-point probe from materials testing gives rise to a natural geometry on such networks. This four-point probe geometry shares many of the properties of hyperbolic geometry wherein the network directions take the place of the sphere at infinity, enabling a navigation of the network in terms of pairs of directions: the geodesic through a pair of points is oriented from one direction to another direction, the pair of which are uniquely determined. We illustrate this in the interesting example of the pages of Wikipedia devoted to Mathematics, or “The MathWiki.” The applicability of these ideas extends beyond Wikipedia to provide a natural framework for visual search and to prescribe a natural mode of navigation for any kind of “knowledge space” in which higher order concepts aggregate various instances of information. Other examples would include genre or author organization of cultural objects such as books, movies, documents or even merchandise in an online store. PMID:23844017

  5. The Nature and Predictors of Elementary Teachers' Mathematical Knowledge for Teaching

    ERIC Educational Resources Information Center

    Hill, Heather C.

    2010-01-01

    This article explores elementary school teachers' mathematical knowledge for teaching and the relationship between such knowledge and teacher characteristics. The Learning Mathematics for Teaching project administered a multiple-choice assessment covering topics in number and operation to a nationally representative sample of teachers (n = 625)…

  6. Statewide Mathematics Professional Development: Teacher Knowledge, Self-Efficacy, and Beliefs

    ERIC Educational Resources Information Center

    Carney, Michele B.; Brendefur, Jonathan L.; Thiede, Keith; Hughes, Gwyneth; Sutton, John

    2016-01-01

    We examined the impact of a state-mandated K-12 mathematics professional development course on knowledge, self-efficacy, and beliefs of nearly 4,000 teachers and administrators. Participants completed the Mathematical Thinking for Instruction course, emphasizing student thinking, problem-solving, and content knowledge specific to mathematics…

  7. Early Math Trajectories: Low-Income Children's Mathematics Knowledge from Age 4 to 11

    ERIC Educational Resources Information Center

    Rittle-Johnson, Bethany; Fyfe, Emily R.; Hofer, Kerry G.; Farran, Dale C.

    2016-01-01

    Early mathematics knowledge is a strong predictor of later academic achievement, but children from low-income families enter school with weak mathematics knowledge. An Early Math Trajectories model is proposed and evaluated within a longitudinal study of 517 low-income American children from age 4 to 11. This model includes a broad range of math…

  8. The Curious--and Crucial--Case of Mathematical Knowledge for Teaching

    ERIC Educational Resources Information Center

    Hill, Heather; Ball, Deborah Loewenberg

    2009-01-01

    Mathematics teachers need specialized math knowledge that is different from the knowledge needed by mathematicians, including the mathematical understanding involved in posing questions, interpreting students' answers, providing explanations, and using representations. Based on the authors' work involving over 300 teachers, they have found that…

  9. Investigating Content Knowledge of Traditionally vs. Alternatively Prepared Pre-Service Secondary Mathematics Teachers

    ERIC Educational Resources Information Center

    Bonner, Emily P.; Ruiz, Elsa C.; Travis, Betty

    2013-01-01

    Teacher content knowledge has been repeatedly linked to student achievement. Alternative Mathematics Teacher Education Programs are popular and prevalent, but do they prepare teachers with the content knowledge needed to teach secondary mathematics? This study reports on a quantitative analysis comparing scores between traditionally and…

  10. First Year Pre-Service Teachers' Mathematical Content Knowledge: Methods of Solution for a Ratio Question

    ERIC Educational Resources Information Center

    Livy, Sharyn; Vale, Colleen

    2011-01-01

    In this article, pre-service teachers' mathematics content knowledge is explored through the analysis of two items about ratio from a Mathematical Competency, Skills and Knowledge Test. Pre-service teachers' thinking strategies, common errors and misconceptions in their responses are presented and discussed. Of particular interest was the range…

  11. Primary Teachers' Knowledge for Teaching Ratio and Proportion in Mathematics: The Case of Indonesia

    ERIC Educational Resources Information Center

    Ekawati, Rooselyna; Lin, Fou-Lai; Yang, Kai-Lin

    2015-01-01

    In this study, we aimed at examining Indonesian In-Service primary Teachers' Mathematics Content Knowledge (MCK) and Mathematics Pedagogical Content Knowledge (MPCK) for teaching ratio and proportion. The instruments were administered to 271 in-service primary teachers with various education background. There were three underlined factors on MCK…

  12. Mathematical Knowledge for Teaching Teachers: The Case of Multiplication and Division of Fractions

    ERIC Educational Resources Information Center

    Olanoff, Dana E.

    2011-01-01

    This study attempts to answer the question, "What is the mathematical knowledge required by teachers of elementary mathematics content courses in the area of multiplication and division of fractions?" Beginning in the mid-1980s, when Shulman (1986) introduced the idea of pedagogical content knowledge, researchers have been looking at the knowledge…

  13. Examining Prospective Mathematics Teachers' Pedagogical Content Knowledge on Fractions in Terms of Students' Mistakes

    ERIC Educational Resources Information Center

    Sahin, Ömer; Gökkurt, Burçin; Soylu, Yasin

    2016-01-01

    The aim of the study is to examine prospective mathematics teachers' pedagogical content knowledge in terms of knowledge of understanding students and knowledge of instructional strategies which are the subcomponents of pedagogical content knowledge. The participants of this research consist of 98 prospective teachers who are studying in two…

  14. Transfer in chemistry: a study of students' abilities in transferring mathematical knowledge to chemistry

    NASA Astrophysics Data System (ADS)

    Hoban, Richard A.; Finlayson, Odilla E.; Nolan, Brien C.

    2013-01-01

    It is recognized that there is a mathematics problem in chemistry, whereby, for example, undergraduate students appear to be unable to utilize basic calculus knowledge in a chemistry context - calculus knowledge - which would have been taught to these students in a mathematics context. However, there appears to be a scarcity of literature addressing the possible reasons for this problem. This dearth of literature has spurred the following two questions: (1) Can students transfer mathematical knowledge to chemistry?; and (2) What are the possible factors associated with students being able to successfully transfer mathematical knowledge to a chemistry context? These questions were investigated in relation to the basic mathematical knowledge which chemistry students need for chemical kinetics and thermodynamics, using the traditional view of the transfer of learning. Two studies were undertaken amongst two samples of undergraduate students attending Dublin City University. Findings suggest that the mathematical difficulties which students encounter in a chemistry context may not be because of an inability to transfer the knowledge, but may instead be due to insufficient mathematical understanding and/or knowledge of mathematical concepts relevant to chemical kinetics and thermodynamics.

  15. The Development of Beginning Mathematics Teacher Pedagogical Content Knowledge

    ERIC Educational Resources Information Center

    Lannin, John K.; Webb, Matthew; Chval, Kathryn; Arbaugh, Fran; Hicks, Sarah; Taylor, Cynthia; Bruton, Rebecca

    2013-01-01

    Recent research efforts (Schmidt et al. in "The preparation gap: teacher education for middle school mathematics in six countries," MSU Center for Research in Mathematics and Science Education, 2007) demonstrate that teacher development programs in high-performing countries offer experiences that are designed to develop both mathematical…

  16. Using Problem Solving to Assess Young Children's Mathematics Knowledge

    ERIC Educational Resources Information Center

    Charlesworth, Rosalind; Leali, Shirley A.

    2012-01-01

    Mathematics problem solving provides a means for obtaining a view of young children's understanding of mathematics as they move through the early childhood concept development sequence. Assessment information can be obtained through observations and interviews as children develop problem solutions. Examples of preschool, kindergarten, and primary…

  17. Mathematics for Teaching and Deep Subject Knowledge: Voices of Mathematics Enhancement Course Students in England

    ERIC Educational Resources Information Center

    Adler, Jill; Hossain, Sarmin; Stevenson, Mary; Clarke, John; Archer, Rosa; Grantham, Barry

    2014-01-01

    This article reports an investigation into how students of a mathematics course for prospective secondary mathematics teachers in England talk about the notion of "understanding mathematics in depth", which was an explicit goal of the course. We interviewed eighteen students of the course. Through our social practice frame and in the…

  18. Vicissitudes of Children's Mathematical Knowledge: Implications of Developmental Research for Early Childhood Mathematics Education

    ERIC Educational Resources Information Center

    Sophian, Catherine

    2013-01-01

    Hachey's (2013) article celebrates a revolution that is taking place in early childhood mathematics education, fueled in part by developmental research demonstrating the mathematical capabilities of young children. At the same time, Hachey notes that the mathematics revolution she describes is not yet complete. In this commentary, the author…

  19. Construction of Mathematical Knowledge Using Graphic Calculators (CAS) in the Mathematics Classroom

    ERIC Educational Resources Information Center

    Hitt, Fernando

    2011-01-01

    Mathematics education researchers are asking themselves about why technology has impacted heavily on the social environment and not in the mathematics classroom. The use of technology in the mathematics classroom has not had the expected impact, as it has been its use in everyday life (i.e. cell phone). What about teachers' opinions? Mathematics…

  20. Using the "Knowledge Quartet" to Quantify Mathematical Knowledge in Teaching: The Development of a Protocol for Initial Teacher Education

    ERIC Educational Resources Information Center

    Weston, Tracy L.

    2013-01-01

    This study examined trainee teachers' mathematical knowledge in teaching (MKiT) over their final year in a US Initial Teacher Education (ITE) programme. This paper reports on an exploratory methodological approach taken to use the "Knowledge Quartet" to quantify MKiT through the development of a new protocol to code trainees' teaching of…

  1. Determining Quality Teachers: Mathematical Content Knowledge, Perceptions of Teaching Self-Efficacy, and Attitudes toward Mathematics among a Teach for America Cohort

    ERIC Educational Resources Information Center

    Evans, Brian R.

    2010-01-01

    The purpose of this study was to understand the relationships between mathematical content knowledge, perceptions of teaching self-efficacy, and attitudes toward mathematics in one cohort of Teach for America teachers who took the New York State Content Special Test in mathematics at the start of their program, and a mathematics attitude…

  2. Mathematical Knowledge for Teaching, Standards-Based Mathematics Teaching Practices, and Student Achievement in the Context of the "Responsive Classroom Approach"

    ERIC Educational Resources Information Center

    Ottmar, Erin R.; Rimm-Kaufman, Sara E.; Larsen, Ross A.; Berry, Robert Q.

    2015-01-01

    This study investigates the effectiveness of the Responsive Classroom (RC) approach, a social and emotional learning intervention, on changing the relations between mathematics teacher and classroom inputs (mathematical knowledge for teaching [MKT] and standards-based mathematics teaching practices) and student mathematics achievement. Work was…

  3. The Hidden Strand of Mathematical Proficiency: Defining and Assessing for Productive Disposition in Elementary School Teachers' Mathematical Content Knowledge

    ERIC Educational Resources Information Center

    Siegfried, John Zig Michael

    2012-01-01

    Teachers' mathematical content knowledge is one of the most important constructs considered by researchers studying elementary mathematics education (Fennema & Franke, 1992). One component of mathematical content knowledge that is complicated, ill-defined, and oft-ignored is "productive disposition," defined as the…

  4. Eleventh-Grade High School Students' Accounts of Mathematical Metacognitive Knowledge: Explicitness and Systematicity

    ERIC Educational Resources Information Center

    van Velzen, Joke H.

    2016-01-01

    Theoretically, it has been argued that a conscious understanding of metacognitive knowledge requires that this knowledge is explicit and systematic. The purpose of this descriptive study was to obtain a better understanding of explicitness and systematicity in knowledge of the mathematical problem-solving process. Eighteen 11th-grade…

  5. Mathematics Funds of Knowledge: "Sotmaute" and "Sermaute" Fish in a Torres Strait Islander Community

    ERIC Educational Resources Information Center

    Ewing, Bronwyn

    2012-01-01

    The purpose of this article is to describe a project with one Torres Strait Islander Community. It provides some insights into parents' funds of knowledge that are mathematical in nature, such as sorting shells and giving fish. The idea of funds of knowledge is based on the premise that people are competent and have knowledge that has been…

  6. Cognitive Theories, Prior Knowledge, and Anchored Instruction on Mathematical Problem Solving and Transfer.

    ERIC Educational Resources Information Center

    Serafino, Kathleen; Cicchelli, Terry

    2003-01-01

    Tested the effects of prior knowledge and two instructional models--structured problem solving and guided generation (GG)--on mathematical problem solving and transfer to an analogous task. Data on students with high and low prior knowledge highlighted significant main effects for prior knowledge, significant differences on transfer to analogous…

  7. Construction of mathematical knowledge using graphic calculators (CAS) in the mathematics classroom

    NASA Astrophysics Data System (ADS)

    Hitt, Fernando

    2011-09-01

    Mathematics education researchers are asking themselves about why technology has impacted heavily on the social environment and not in the mathematics classroom. The use of technology in the mathematics classroom has not had the expected impact, as it has been its use in everyday life (i.e. cell phone). What about teachers' opinions? Mathematics teachers can be divided into three categories: those with a boundless overflow (enthusiasm) who want to use the technology without worrying much about the construction of mathematical concepts, those who reject outright the use of technology because they think that their use inhibits the development of mathematical skills and others that reflect on the balance that must exist between paper-pencil activities and use of technology. The mathematics teacher, by not having clear examples that support this last option about the balance of paper-pencil activities and technology, opt for one of the extreme positions outlined above. In this article, we show the results of research on a methodology based on collaborative learning (ACODESA) in the training of mathematics teachers in secondary schools and implementation of activities in an environment of paper-pencil and CAS in the mathematics classroom. We also note that with the development of technology on the use of electronic tablets and interactive whiteboards, these activities will take on greater momentum in the near future.

  8. Online Asynchronous Collaboration in Mathematics Teacher Education and the Development of Mathematical Knowledge for Teaching

    ERIC Educational Resources Information Center

    Silverman, Jason; Clay, Ellen L.

    2010-01-01

    In this article the authors describe their efforts to support teachers' development of deep, connected understandings of school mathematics and to find ways to make use of the teachers' learning as a context for subsequent mathematical and pedagogical development. The authors detail the evolution of their model for Online Asynchronous…

  9. Secondary School Pre-Service Mathematics Teachers' Content Knowledge of Algebraic Word Problem in Nigeria

    ERIC Educational Resources Information Center

    Usman, Ahmed Ibrahim

    2015-01-01

    Knowledge and understanding of mathematical operations serves as a pre-reequisite for the successful translation of algebraic word problems. This study explored pre-service teachers' ability to recognize mathematical operations as well as use of those capabilities in constructing algebraic expressions, equations, and their solutions. The outcome…

  10. Investigating Level of Mathematics Knowledge for Students Attending Vocational Schools in Turkey

    ERIC Educational Resources Information Center

    Colakoglu, Nurdan

    2013-01-01

    Students attend mathematics courses in Turkey for totally 11 years, throughout education life ranging from primary school to university, including eight years in primary education and three years in secondary education (four years based on new arrangement); however, level of mathematic knowledge of students is upsetting when they reach university…

  11. Measuring the Effects of Professional Development on Teacher Knowledge: The Case of Developing Mathematical Ideas

    ERIC Educational Resources Information Center

    Bell, Courtney A.; Wilson, Suzanne M.; Higgins, Traci; McCoach, D. Betsy

    2010-01-01

    This study examines the impact of a nationally disseminated professional development program, Developing Mathematical Ideas (DMI), on teachers' specialized knowledge for teaching mathematics and illustrates how such research could be conducted. Participants completing 2 DMI modules were compared with similar colleagues who had not taken DMI.…

  12. Novice Special Educators' Instructional Practices, Communication Patterns, and Content Knowledge for Teaching Mathematics

    ERIC Educational Resources Information Center

    Griffin, Cynthia C.; Jitendra, Asha K.; League, Martha B.

    2009-01-01

    In this study, the authors examine the influence of teacher and student communication patterns, instructional practices, and teacher pedagogical content knowledge on students' mathematics learning in both general and special education mathematics classrooms. Five pre-service special education teachers in field placements and 43 students with…

  13. Measuring Mathematical Knowledge for Teaching: A Longitudinal Study Using Two Measures

    ERIC Educational Resources Information Center

    Copur-Gencturk, Yasemin; Lubienski, Sarah T.

    2013-01-01

    This longitudinal study examines growth in teacher knowledge as measured by two popular assessments--Learning Mathematics for Teaching (LMT) and Diagnostic Teacher Assessments in Mathematics and Science (DTAMS). Using data collected from 24 teachers, we compare the extent to which each assessment captured teacher learning during a K-8 mathematics…

  14. Investigating Lebanese Grade Seven Biology Teachers Mathematical Knowledge and Skills: A Case Study

    ERIC Educational Resources Information Center

    Raad, Nawal Abou; Chatila, Hanadi

    2016-01-01

    This paper investigates Lebanese grade 7 biology teachers' mathematical knowledge and skills, by exploring how they explain a visual representation in an activity depending on the mathematical concept "Function". Twenty Lebanese in-service biology teachers participated in the study, and were interviewed about their explanation for the…

  15. Teacher Belief, Knowledge, and Practice: A Trichotomy of Mathematics Teacher Education

    ERIC Educational Resources Information Center

    Belbase, Shashidhar

    2012-01-01

    In this paper I reviewed and analyzed three important constructs--beliefs, knowledge, and practices in mathematics teacher education. I carried out a literature review of teacher beliefs and practice, and beliefs and change in mathematics education in to order draw some pedagogical and research implications. I was able to draw three themes from…

  16. Knowledge Needed by a Teacher to Provide Analytic Scaffolding during Undergraduate Mathematics Classroom Discussions

    ERIC Educational Resources Information Center

    Speer, Natasha M.; Wagner, Joseph F.

    2009-01-01

    Using case study analysis and a cognitive theoretical orientation, we examine elements of knowledge for teaching needed by a mathematician to orchestrate whole-class discussions in an undergraduate mathematics classroom. The instructor, an experienced teacher and mathematics researcher, used an inquiry-oriented curriculum to teach a differential…

  17. Building a Case-Based Curriculum to Enhance the Pedagogical Content Knowledge of Mathematics Teachers.

    ERIC Educational Resources Information Center

    Barnett, Carne

    1991-01-01

    Researchers studied how a cognitive flexibility and knowledge transfer theory framed the design of a case-based curriculum for mathematics teacher education. The paper includes a sample mathematics teaching case and analyzes four discussions based on the case. The analysis shows the potential of subject-specific cases for enhancing mathematics…

  18. Using the Mixture Rasch Model to Explore Knowledge Resources Students Invoke in Mathematic and Science Assessments

    ERIC Educational Resources Information Center

    Zhang, Danhui; Orrill, Chandra; Campbell, Todd

    2015-01-01

    The purpose of this study was to investigate whether mixture Rasch models followed by qualitative item-by-item analysis of selected Programme for International Student Assessment (PISA) mathematics and science items offered insight into knowledge students invoke in mathematics and science separately and combined. The researchers administered an…

  19. Long-Term Retention of Basic Mathematical Knowledge and Skills with Engineering Students

    ERIC Educational Resources Information Center

    Engelbrecht, J.; Harding, A.; Preez, J. Du

    2007-01-01

    This study focuses on the long-term retention of basic mathematical techniques in a first-year calculus course, involving a sample group of engineering students at the University of Pretoria. The study investigates which and how much of the basic mathematical knowledge and rote skills acquired in the first year of study is retained after a further…

  20. The Mathematical Content Knowledge and Attitudes of New Zealand Pre-Service Primary Teachers

    ERIC Educational Resources Information Center

    Young-Loveridge, Jenny; Bicknell, Brenda; Mills, Judith

    2012-01-01

    This paper presents data on the mathematical content knowledge and attitudes of pre-service primary teacher education students. The assessment consisted of nine tasks, including 2-digit computations and proportional reasoning. Students rated their liking for mathematics at three time points: primary, secondary, .and when assessed. Fewer than half…

  1. Strengthening the Conceptualization of Mathematics Pedagogical Content Knowledge for International Studies: A Taiwanese Perspective

    ERIC Educational Resources Information Center

    Hsieh, Feng-Jui

    2013-01-01

    This paper discusses different conceptual frameworks for measuring mathematics pedagogical content knowledge (MPCK) in international comparison studies. Two large-scale international comparative studies, "Mathematics Teaching in the Twenty-First Century" (MT21; Schmidt et al., 2011) and the "Teacher Education and Development Study…

  2. Improving Geometric and Trigonometric Knowledge and Skill for High School Mathematics Teachers: A Professional Development Partnership

    ERIC Educational Resources Information Center

    Merrill, Chris; Devine, Kevin L.; Brown, Joshua W.; Brown, Ryan A.

    2010-01-01

    In the summer of 2009, a professional development partnership was established between the Peoria Public School District (PPSD), a local education agency (LEA), and Illinois State University (ISU) to improve geometric and trigonometric knowledge and skill for high school mathematics teachers as part of the Illinois Mathematics and Science…

  3. Investigating First Year Elementary Mathematics Teacher Education Students' Knowledge of Prism

    ERIC Educational Resources Information Center

    Bozkurt, Ali; Koc, Yusuf

    2012-01-01

    The purpose of this study was to investigate first year elementary mathematics teacher education students' knowledge of prism. For this goal, the participants were asked to define the geometric concept of prism. The participants were 158 first year elementary mathematics teacher education students from a public university in Southern Turkey. The…

  4. Primary Teachers' Representations of Division: Assessing Mathematical Knowledge that Has Pedagogical Potential

    ERIC Educational Resources Information Center

    Roche, Anne; Clarke, Doug M.

    2013-01-01

    This article reports on a study that was conducted with 378 primary teachers from Catholic schools in Victoria who participated in the first year of a 2-year research and professional learning program in mathematics. One aim of the program was to enhance teacher knowledge in mathematics in its many forms. As part of the larger study, the teachers…

  5. Sociological Tools in the Study of Knowledge and Practice in Mathematics Teacher Education

    ERIC Educational Resources Information Center

    Parker, Diane; Adler, Jill

    2014-01-01

    In this paper, we put Basil Bernstein's theory of pedagogic discourse to work together with additional theoretical resources to interrogate knowledge and practice in mathematics teacher education. We illustrate this methodology through analysis of an instance of mathematics teacher education pedagogic practice. While the methodology itself is…

  6. Cultural Activity, Mathematics, and Classroom Instruction: Taping Local Knowledge Resources to Enhance Learning

    ERIC Educational Resources Information Center

    Mtetwa, D. K. J.

    2006-01-01

    Current renewed interest in the epistemological, socio-cultural, and educational aspects of indigenous knowledge systems (IKSs) has also had some impact on research and practice in the area of mathematics education. Located in the intersection of culture, mathematics, and classroom learning, this position article proposes that the socio-cultural…

  7. Survey Team On: Conceptualisation of the Role of Competencies, Knowing and Knowledge in Mathematics Education Research

    ERIC Educational Resources Information Center

    Niss, Mogens; Bruder, Regina; Planas, Núria; Turner, Ross; Villa-Ochoa, Jhony Alexander

    2016-01-01

    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…

  8. The use of video analysis and the Knowledge Quartet in mathematics teacher education programmes

    NASA Astrophysics Data System (ADS)

    Liston, Miriam

    2015-01-01

    This study investigates the potential of video analysis and a mathematical knowledge for teaching framework, the Knowledge Quartet (KQ), in mathematics teacher education programmes. It reports on the effectiveness of these tools in analysing and supporting secondary level pre-service mathematics teachers' subject matter knowledge and pedagogical content knowledge. This paper describes how a videotaped lesson of one pre-service teacher, teaching a class of mature students, was analysed and makes comparisons between the teacher educators' and the pre-service teacher's observations. Inter-rater reliability was investigated and a Kappa coefficient of .72 indicated substantial agreement between both coders. Findings are presented and implications of the use of video and the KQ for mathematics teacher education are drawn.

  9. Mathematical Vocabulary: Fixers of Knowledge or Points of Exploration?

    ERIC Educational Resources Information Center

    Leung, Constant

    2005-01-01

    This paper examines the idea that in mathematics education it is important to wean pupils off the use of informal everyday language and to privilege the use of formal technical vocabulary. I will first make some observations on the use of formal and informal language in the Dimensions transcript. The main focus of the next part of the discussion…

  10. Uniquely Precise: Importance of Conceptual Knowledge and Mathematical Language

    ERIC Educational Resources Information Center

    Shockey, Tod; Pindiprolu, Sekhar

    2015-01-01

    The importance of mathematical concept development and language is recognized early in children's schooling as they mature through shape and counting experiences. The reader may recall instances of a youngster referring to a "corner" of a shape before the reader has the language of vertex. This language precision needs to continue to…

  11. How Mathematics Propels the Development of Physical Knowledge

    ERIC Educational Resources Information Center

    Schwartz, Daniel L.; Martin, Taylor; Pfaffman, Jay

    2005-01-01

    Three studies examined whether mathematics can propel the development of physical understanding. In Experiment 1, 10-year-olds solved balance scale problems that used easy-to-count discrete quantities or hard-to-count continuous quantities. Discrete quantities led to age typical performances. Continuous quantities caused performances like those of…

  12. Learning Mathematics Does Not (Necessarily) Mean Constructing the Right Knowledge

    ERIC Educational Resources Information Center

    Dawson, Sandy

    2015-01-01

    In this article, which was first published in 1991, the late Sandy Dawson, discusses aspects of a Lakatosian approach to mathematics teaching. The ideas are illustrated with examples from three teaching situations: making conjectures about the next number in a sequence; making conjectures about the internal angles in a triangle using Logo; and…

  13. Increasing mathematical problem-solving performance through relaxation training

    NASA Astrophysics Data System (ADS)

    Sharp, Conni; Coltharp, Hazel; Hurford, David; Cole, Amykay

    2000-04-01

    Two intact classes of 30 undergraduate students enrolled in the same general education mathematics course were each administered the IPSP Mathematics Problem Solving Test and the Mathematics Anxiety Rating Scale at the beginning and end of the semester. Both groups experienced the same syllabus, lectures, course requirements, and assessment techniques; however, one group received relaxation training during an initial class meeting and during the first 5 to 7 minutes of each subsequent class. The group which had received relaxation training had significantly lower mathematics anxiety and significantly higher mathematics performance at the end of the course. The results suggest that relaxation training may be a useful tool for treating anxiety in undergraduate general education mathematics students.

  14. Licensure tests for special education teachers: how well they assess knowledge of reading instruction and mathematics.

    PubMed

    Stotsky, Sandra

    2009-01-01

    To determine the extent to which knowledge of evidence-based reading instruction and mathematics is assessed on licensure tests for prospective special education teachers, this study drew on information provided by Educational Testing Service (ETS), the American Board for Certification of Teacher Excellence, and National Evaluation Systems (now Evaluation Systems group of Pearson). It estimated the percentage of test items on phonemic awareness, phonics, and vocabulary knowledge and on mathematics content. It also analyzed descriptions of ETS's tests of "principles of teaching and learning." Findings imply that prospective special education teachers should be required to take both a dedicated test of evidence-based reading instructional knowledge, as in California, Massachusetts, and Virginia, and a test of mathematical knowledge, as in Massachusetts. States must design their own tests of teaching principles to assess knowledge of evidence-based educational theories.

  15. On the relationships between (relatively) advanced mathematical knowledge and (relatively) advanced problem-solving behaviours

    NASA Astrophysics Data System (ADS)

    Koichu, Boris

    2010-03-01

    This article discusses an issue of inserting mathematical knowledge within the problem-solving processes. Relatively advanced mathematical knowledge is defined in terms of three mathematical worlds; relatively advanced problem-solving behaviours are defined in terms of taxonomies of proof schemes and heuristic behaviours. The relationships between mathematical knowledge and problem-solving behaviours are analysed in the contexts of solving an insight geometry problem, posing algebraic problems and calculus exploration. A particularly knowledgeable and skilled university student was involved in all the episodes. The presented examples substantiate the claim that advanced mathematical knowledge and advanced problem-solving behaviours do not always support each other. More advanced behaviours were observed when the student worked within her conceptual-embodied mathematical world, and less advanced ones when she worked within her symbolic and formal-axiomatic worlds. Alternative explanations of the findings are discussed. It seems that the most comprehensive explanation is in terms of the Principle of Intellectual Parsimony. Implications for further research are drawn.

  16. Bridging Funds of Distributed Knowledge: Creating Zones of Practices in Mathematics.

    ERIC Educational Resources Information Center

    Gonzalez, Norma; Andrade, Rosi; Civil, Marta; Moll, Luis

    2001-01-01

    Describes longitudinal research on the funds of knowledge of diverse populations, illustrating how community knowledge can be tapped to strengthen the academic experiences of Hispanic youth. Investigates the mathematics potential of Hispanic households, describing how women participating in a sewing circle use and model sophisticated mathematical…

  17. Preparing Oral Examinations of Mathematical Domains with the Help of a Knowledge-Based Dialogue System.

    ERIC Educational Resources Information Center

    Schmidt, Peter

    A conception of discussing mathematical material in the domain of calculus is outlined. Applications include that university students work at their knowledge and prepare for their oral examinations by utilizing the dialog system. The conception is based upon three pillars. One central pillar is a knowledge base containing the collections of…

  18. Computational Skills, Working Memory, and Conceptual Knowledge in Older Children with Mathematics Learning Disabilities

    ERIC Educational Resources Information Center

    Mabbott, Donald J.; Bisanz, Jeffrey

    2008-01-01

    Knowledge and skill in multiplication were investigated for late elementary-grade students with mathematics learning disabilities (MLD), typically achieving age-matched peers, low-achieving age-matched peers, and ability-matched peers by examining multiple measures of computational skill, working memory, and conceptual knowledge. Poor…

  19. Science and Mathematics Teacher Candidates' Environmental Knowledge, Awareness, Behavior and Attitudes

    ERIC Educational Resources Information Center

    Yumusak, Ahmet; Sargin, Seyid Ahmet; Baltaci, Furkan; Kelani, Raphael R.

    2016-01-01

    The purpose of this study was to measure science and mathematics teacher candidates' environmental knowledge level, awareness, behavior and environmental attitudes. Four instruments comprising Environmental Sensitivity Scale, environmental Behavior Scale, Environmental Attitudes Scale and Environmental Knowledge Test were administered to a total…

  20. Operationalizing Levels of Academic Mastery Based on Vygotsky's Theory: The Study of Mathematical Knowledge

    ERIC Educational Resources Information Center

    Nezhnov, Peter; Kardanova, Elena; Vasilyeva, Marina; Ludlow, Larry

    2015-01-01

    The present study tested the possibility of operationalizing levels of knowledge acquisition based on Vygotsky's theory of cognitive growth. An assessment tool (SAM-Math) was developed to capture a hypothesized hierarchical structure of mathematical knowledge consisting of procedural, conceptual, and functional levels. In Study 1, SAM-Math was…

  1. Towards a Methodology for the Characterization of Teachers' Didactic-Mathematical Knowledge

    ERIC Educational Resources Information Center

    Pino-Fan, Luis R.; Assis, Adriana; Castro, Walter F.

    2015-01-01

    This research study aims at exploring the use of some dimensions and theoretical-methodological tools suggested by the model of Didactic-Mathematical Knowledge (DMK) for the analysis, characterization and development of knowledge that teachers should have in order to efficiently develop within their practice. For this purpose, we analyzed the…

  2. Investigating the Knowledge Needed for Teaching Mathematics: An Exploratory Validation Study Focusing on Teaching Practices

    ERIC Educational Resources Information Center

    Charalambous, Charalambos Y.

    2016-01-01

    Central in the frameworks proposed to capture the knowledge needed for teaching mathematics is the assumption that teachers need more than pure subject-matter knowledge. Validation studies exploring this assumption by recruiting contrasting populations are relatively scarce. Drawing on a sample of 644 Greek-Cypriots preservice and inservice…

  3. Middle School Mathematics Teachers' Pedagogical Content Knowledge Regarding Teaching Strategies on Quadrilaterals

    ERIC Educational Resources Information Center

    Akkas, Elif Nur; Türnüklü, Elif

    2014-01-01

    Pedagogical content knowledge is consisted of two components: student knowledge and teaching strategies. Teaching strategies was defined under two sub-headings as strategies for specific topics and specific strategies for any topic. The purpose of this study was to examine the method with which quadrilaterals were taught by mathematics teachers…

  4. Validation of instruments to measure students' mathematical knowledge

    NASA Astrophysics Data System (ADS)

    Khatimin, Nuraini; Zaharim, Azami; Aziz, Azrilah Abd

    2015-02-01

    This paper describes instruments' validation process to identify the suitability and accuracy of the final examination questions for engineering mathematics. As a compulsory subject for second year students from 4 departments in Faculty of Engineering and Built Environment Universiti Kebangsaan Malaysia, the Differential Equations 1 course (KKKQ2124) was considered in this study. The data used in this study consists of the raw marks for final examination of semester 2, 2012/2013 session. The data then will be run and analyzed using the Rasch measurement model. Rasch model can also examine the ability of students and redundancy of instrument constructs.

  5. The transformation of science and mathematics content knowledge into teaching content by university faculty

    NASA Astrophysics Data System (ADS)

    Flynn, Natalie P.

    This study developed a survey from the existing literature in an attempt to illuminate the processes, tools, insights, and events that allow university science and mathematics content experts (Ph.D.'s) unpack their expertise in order to teach develop and teach undergraduate students. A pilot study was conducted at an urban university in order to refine the survey. The study consisted of 72 science or mathematics Ph.D. faculty members that teach at a research-based urban university. Follow-up interviews were conducted with 21 volunteer faculty to further explore their methods and tools for developing and implementing teaching within their discipline. Statistical analysis of the data revealed: faculty that taught while obtaining their Ph.D. were less confident in their ability to teach successful and faculty that received training in teaching believed that students have difficult to change misconceptions and do not commit enough time to their course. Student centered textbooks ranked the highest among tools used to gain teaching strategies followed by grading of exams and assignments for gaining insights into student knowledge and difficulties. Science and mathematics education literature and university provided education session ranked the lowest in rating scale for providing strategies for teaching. The open-ended survey questions were sub-divided and analyzed by the number of years of experience to identify the development of teaching knowledge over time and revealed that teaching became more interactive, less lecture based, and more engaging. As faculty matured and gained experience they became more aware of student misconceptions and difficulties often changing their teaching to eliminate such issues. As confidence levels increase their teaching included more technology-based tools, became more interactive, incorporated problem based activities, and became more flexible. This change occurred when and if faculty members altered their thinking about their

  6. Developing Robust Forms of Pre-Service Teachers' Pedagogical Content Knowledge through Culturally Responsive Mathematics Teaching Analysis

    ERIC Educational Resources Information Center

    Aguirre, Julia M.; Zavala, Maria del Rosario; Katanyoutanant, Tiffany

    2012-01-01

    This study documents and describes efforts to develop robust forms of pre-service teachers' pedagogical content knowledge through a culturally responsive mathematics teaching approach. Embedded in a university K-8 mathematics methods course emphasising the connections among mathematics, children's mathematical thinking, and…

  7. The incoming statistical knowledge of undergraduate majors in a department of mathematics and statistics

    NASA Astrophysics Data System (ADS)

    Cook, Samuel A.; Fukawa-Connelly, Timothy

    2016-02-01

    Studies have shown that at the end of an introductory statistics course, students struggle with building block concepts, such as mean and standard deviation, and rely on procedural understandings of the concepts. This study aims to investigate the understandings entering freshman of a department of mathematics and statistics (including mathematics education), students who are presumably better prepared in terms of mathematics and statistics than the average university student, have of introductory statistics. This case study found that these students enter college with common statistical misunderstandings, lack of knowledge, and idiosyncratic collections of correct statistical knowledge. Moreover, they also have a wide range of beliefs about their knowledge with some of the students who believe that they have the strongest knowledge also having significant misconceptions. More attention to these statistical building blocks may be required in a university introduction statistics course.

  8. The Multifaceted Nature of Mathematics Knowledge for Teaching: Understanding the Use of Teachers' Specialized Content Knowledge and the Role of Teachers' Beliefs from a Practice-Based Perspective

    ERIC Educational Resources Information Center

    Provost, Lauren E.

    2013-01-01

    This work investigates middle school teachers' mathematics knowledge for teaching (MKT) as defined by Hill (2007). Within this two-part dissertation, the level of MKT was considered as well as the role of teacher beliefs in actual specialized content knowledge (SCK) use, a specific type of mathematics knowledge for teaching vital in quality…

  9. Using an Assessment of Early Mathematical Knowledge and Skills to Inform Policy and Practice: Examples from the Early Grade Mathematics Assessment

    ERIC Educational Resources Information Center

    Platas, Linda M.; Ketterlin-Geller, Leanne R.; Sitabkhan, Yasmin

    2016-01-01

    This paper describes the development and intended uses of the Early Grades Mathematics Assessment (EGMA), which measures essential early mathematical knowledge and skills that are foundational to more sophisticated mathematical abilities, predictive of later achievement, and teachable. Administering the EGMA can provide policy makers,…

  10. Making Connections in Practice: How Prospective Elementary Teachers Connect to Children's Mathematical Thinking and Community Funds of Knowledge in Mathematics Instruction

    ERIC Educational Resources Information Center

    Aguirre, Julia M.; Turner, Erin E.; Bartell, Tonya Gau; Kalinec-Craig, Crystal; Foote, Mary Q.; Roth McDuffie, Amy; Drake, Corey

    2013-01-01

    This study examines the ways prospective elementary teachers (PSTs) made connections to children's mathematical thinking and children's community funds of knowledge in mathematics lesson plans. We analyzed the work of 70 PSTs from across three university sites associated with an instructional module for elementary mathematics methods courses that…

  11. Mathematical Connections and Their Relationship to Mathematics Knowledge for Teaching Geometry

    ERIC Educational Resources Information Center

    Eli, Jennifer A.; Mohr-Schroeder, Margaret J.; Lee, Carl W.

    2013-01-01

    Effective competition in a rapidly growing global economy places demands on a society to produce individuals capable of higher-order critical thinking, creative problem solving, connection making, and innovation. We must look to our teacher education programs to help prospective middle grades teachers build the mathematical habits of mind that…

  12. Learning to Leverage Children's Multiple Mathematical Knowledge Bases in Mathematics Instruction

    ERIC Educational Resources Information Center

    Turner, Erin E.; Foote, Mary Q.; Stoehr, Kathleen Jablon; McDuffie, Amy Roth; Aguirre, Julia Maria; Bartell, Tonya Gau; Drake, Corey

    2016-01-01

    In this article, the authors explore prospective elementary teachers' engagement with and reflection on activities they conducted to learn about a single child from their practicum classroom. Through these activities, prospective teachers learned about their child's mathematical thinking and the interests, competencies, and resources she or he…

  13. Predicting Children's Reading and Mathematics Achievement from Early Quantitative Knowledge and Domain-General Cognitive Abilities

    PubMed Central

    Chu, Felicia W.; vanMarle, Kristy; Geary, David C.

    2016-01-01

    One hundred children (44 boys) participated in a 3-year longitudinal study of the development of basic quantitative competencies and the relation between these competencies and later mathematics and reading achievement. The children's preliteracy knowledge, intelligence, executive functions, and parental educational background were also assessed. The quantitative tasks assessed a broad range of symbolic and nonsymbolic knowledge and were administered four times across 2 years of preschool. Mathematics achievement was assessed at the end of each of 2 years of preschool, and mathematics and word reading achievement were assessed at the end of kindergarten. Our goals were to determine how domain-general abilities contribute to growth in children's quantitative knowledge and to determine how domain-general and domain-specific abilities contribute to children's preschool mathematics achievement and kindergarten mathematics and reading achievement. We first identified four core quantitative competencies (e.g., knowledge of the cardinal value of number words) that predict later mathematics achievement. The domain-general abilities were then used to predict growth in these competencies across 2 years of preschool, and the combination of domain-general abilities, preliteracy skills, and core quantitative competencies were used to predict mathematics achievement across preschool and mathematics and word reading achievement at the end of kindergarten. Both intelligence and executive functions predicted growth in the four quantitative competencies, especially across the first year of preschool. A combination of domain-general and domain-specific competencies predicted preschoolers' mathematics achievement, with a trend for domain-specific skills to be more strongly related to achievement at the beginning of preschool than at the end of preschool. Preschool preliteracy skills, sensitivity to the relative quantities of collections of objects, and cardinal knowledge predicted

  14. Predicting Children's Reading and Mathematics Achievement from Early Quantitative Knowledge and Domain-General Cognitive Abilities.

    PubMed

    Chu, Felicia W; vanMarle, Kristy; Geary, David C

    2016-01-01

    One hundred children (44 boys) participated in a 3-year longitudinal study of the development of basic quantitative competencies and the relation between these competencies and later mathematics and reading achievement. The children's preliteracy knowledge, intelligence, executive functions, and parental educational background were also assessed. The quantitative tasks assessed a broad range of symbolic and nonsymbolic knowledge and were administered four times across 2 years of preschool. Mathematics achievement was assessed at the end of each of 2 years of preschool, and mathematics and word reading achievement were assessed at the end of kindergarten. Our goals were to determine how domain-general abilities contribute to growth in children's quantitative knowledge and to determine how domain-general and domain-specific abilities contribute to children's preschool mathematics achievement and kindergarten mathematics and reading achievement. We first identified four core quantitative competencies (e.g., knowledge of the cardinal value of number words) that predict later mathematics achievement. The domain-general abilities were then used to predict growth in these competencies across 2 years of preschool, and the combination of domain-general abilities, preliteracy skills, and core quantitative competencies were used to predict mathematics achievement across preschool and mathematics and word reading achievement at the end of kindergarten. Both intelligence and executive functions predicted growth in the four quantitative competencies, especially across the first year of preschool. A combination of domain-general and domain-specific competencies predicted preschoolers' mathematics achievement, with a trend for domain-specific skills to be more strongly related to achievement at the beginning of preschool than at the end of preschool. Preschool preliteracy skills, sensitivity to the relative quantities of collections of objects, and cardinal knowledge predicted

  15. Predicting Children's Reading and Mathematics Achievement from Early Quantitative Knowledge and Domain-General Cognitive Abilities.

    PubMed

    Chu, Felicia W; vanMarle, Kristy; Geary, David C

    2016-01-01

    One hundred children (44 boys) participated in a 3-year longitudinal study of the development of basic quantitative competencies and the relation between these competencies and later mathematics and reading achievement. The children's preliteracy knowledge, intelligence, executive functions, and parental educational background were also assessed. The quantitative tasks assessed a broad range of symbolic and nonsymbolic knowledge and were administered four times across 2 years of preschool. Mathematics achievement was assessed at the end of each of 2 years of preschool, and mathematics and word reading achievement were assessed at the end of kindergarten. Our goals were to determine how domain-general abilities contribute to growth in children's quantitative knowledge and to determine how domain-general and domain-specific abilities contribute to children's preschool mathematics achievement and kindergarten mathematics and reading achievement. We first identified four core quantitative competencies (e.g., knowledge of the cardinal value of number words) that predict later mathematics achievement. The domain-general abilities were then used to predict growth in these competencies across 2 years of preschool, and the combination of domain-general abilities, preliteracy skills, and core quantitative competencies were used to predict mathematics achievement across preschool and mathematics and word reading achievement at the end of kindergarten. Both intelligence and executive functions predicted growth in the four quantitative competencies, especially across the first year of preschool. A combination of domain-general and domain-specific competencies predicted preschoolers' mathematics achievement, with a trend for domain-specific skills to be more strongly related to achievement at the beginning of preschool than at the end of preschool. Preschool preliteracy skills, sensitivity to the relative quantities of collections of objects, and cardinal knowledge predicted

  16. Active learning increases student performance in science, engineering, and mathematics.

    PubMed

    Freeman, Scott; Eddy, Sarah L; McDonough, Miles; Smith, Michelle K; Okoroafor, Nnadozie; Jordt, Hannah; Wenderoth, Mary Pat

    2014-06-10

    To test the hypothesis that lecturing maximizes learning and course performance, we metaanalyzed 225 studies that reported data on examination scores or failure rates when comparing student performance in undergraduate science, technology, engineering, and mathematics (STEM) courses under traditional lecturing versus active learning. The effect sizes indicate that on average, student performance on examinations and concept inventories increased by 0.47 SDs under active learning (n = 158 studies), and that the odds ratio for failing was 1.95 under traditional lecturing (n = 67 studies). These results indicate that average examination scores improved by about 6% in active learning sections, and that students in classes with traditional lecturing were 1.5 times more likely to fail than were students in classes with active learning. Heterogeneity analyses indicated that both results hold across the STEM disciplines, that active learning increases scores on concept inventories more than on course examinations, and that active learning appears effective across all class sizes--although the greatest effects are in small (n ≤ 50) classes. Trim and fill analyses and fail-safe n calculations suggest that the results are not due to publication bias. The results also appear robust to variation in the methodological rigor of the included studies, based on the quality of controls over student quality and instructor identity. This is the largest and most comprehensive metaanalysis of undergraduate STEM education published to date. The results raise questions about the continued use of traditional lecturing as a control in research studies, and support active learning as the preferred, empirically validated teaching practice in regular classrooms.

  17. Active learning increases student performance in science, engineering, and mathematics.

    PubMed

    Freeman, Scott; Eddy, Sarah L; McDonough, Miles; Smith, Michelle K; Okoroafor, Nnadozie; Jordt, Hannah; Wenderoth, Mary Pat

    2014-06-10

    To test the hypothesis that lecturing maximizes learning and course performance, we metaanalyzed 225 studies that reported data on examination scores or failure rates when comparing student performance in undergraduate science, technology, engineering, and mathematics (STEM) courses under traditional lecturing versus active learning. The effect sizes indicate that on average, student performance on examinations and concept inventories increased by 0.47 SDs under active learning (n = 158 studies), and that the odds ratio for failing was 1.95 under traditional lecturing (n = 67 studies). These results indicate that average examination scores improved by about 6% in active learning sections, and that students in classes with traditional lecturing were 1.5 times more likely to fail than were students in classes with active learning. Heterogeneity analyses indicated that both results hold across the STEM disciplines, that active learning increases scores on concept inventories more than on course examinations, and that active learning appears effective across all class sizes--although the greatest effects are in small (n ≤ 50) classes. Trim and fill analyses and fail-safe n calculations suggest that the results are not due to publication bias. The results also appear robust to variation in the methodological rigor of the included studies, based on the quality of controls over student quality and instructor identity. This is the largest and most comprehensive metaanalysis of undergraduate STEM education published to date. The results raise questions about the continued use of traditional lecturing as a control in research studies, and support active learning as the preferred, empirically validated teaching practice in regular classrooms. PMID:24821756

  18. Active learning increases student performance in science, engineering, and mathematics

    PubMed Central

    Freeman, Scott; Eddy, Sarah L.; McDonough, Miles; Smith, Michelle K.; Okoroafor, Nnadozie; Jordt, Hannah; Wenderoth, Mary Pat

    2014-01-01

    To test the hypothesis that lecturing maximizes learning and course performance, we metaanalyzed 225 studies that reported data on examination scores or failure rates when comparing student performance in undergraduate science, technology, engineering, and mathematics (STEM) courses under traditional lecturing versus active learning. The effect sizes indicate that on average, student performance on examinations and concept inventories increased by 0.47 SDs under active learning (n = 158 studies), and that the odds ratio for failing was 1.95 under traditional lecturing (n = 67 studies). These results indicate that average examination scores improved by about 6% in active learning sections, and that students in classes with traditional lecturing were 1.5 times more likely to fail than were students in classes with active learning. Heterogeneity analyses indicated that both results hold across the STEM disciplines, that active learning increases scores on concept inventories more than on course examinations, and that active learning appears effective across all class sizes—although the greatest effects are in small (n ≤ 50) classes. Trim and fill analyses and fail-safe n calculations suggest that the results are not due to publication bias. The results also appear robust to variation in the methodological rigor of the included studies, based on the quality of controls over student quality and instructor identity. This is the largest and most comprehensive metaanalysis of undergraduate STEM education published to date. The results raise questions about the continued use of traditional lecturing as a control in research studies, and support active learning as the preferred, empirically validated teaching practice in regular classrooms. PMID:24821756

  19. [Four numbers and a bit more basic knowledge of mathematics].

    PubMed

    Günther, Judith; Briel, Matthias; Suter, Katja

    2015-02-01

    In addition to relative risk, relative risk reduction and absolute risk reduction there circulates another effect size for binary endpoints in the scientific medical literature: the odds ratio. Relative risk and odds ratio are alternative ways of reflecting study results. Both, relative risk (RR) and odds ratio (OR), can easily be calculated from the "2 x 2-table". Advantage of OR: odds ratios can be calculated in every type of controlled study design, including retrospective studies. Furthermore, odds ratios--the biostatisticians are swarming--offer beautiful mathematical properties and therefore are often used in meta-analysis as an effect size for calculating a pooled estimate of the results of different studies with the same clinical question. Disadvantage of OR: In clinical studies the presentation of the results as "odds ratios" may result in an overestimation of the intervention effect. This article shows the difference between "chance" and "risk" and how odds ratio and relative risk are associated.

  20. TEDS-M 2008 User Guide for the International Database. Supplement 4: TEDS-M Released Mathematics and Mathematics Pedagogy Knowledge Assessment Items

    ERIC Educational Resources Information Center

    Brese, Falk, Ed.

    2012-01-01

    The goal for selecting the released set of test items was to have approximately 25% of each of the full item sets for mathematics content knowledge (MCK) and mathematics pedagogical content knowledge (MPCK) that would represent the full range of difficulty, content, and item format used in the TEDS-M study. The initial step in the selection was to…

  1. Addressing prospective elementary teachers' mathematics subject matter knowledge through action research

    NASA Astrophysics Data System (ADS)

    Hourigan, Mairéad; O'Donoghue, John

    2015-01-01

    There is international dissatisfaction regarding the standard of mathematics subject matter knowledge (MSMK) evident among both qualified and prospective elementary teachers. Ireland is no exception. Following increasing anecdotal evidence of prospective elementary teachers in one Irish College of Education (provider of initial teacher education programme) demonstrating weaknesses in this regard, this study sought to examine and address the issue through two cycles of action research. The examination of the nature of prospective teachers' MSMK (as well as related beliefs in the main study) informed the design and implementation of an intervention to address the issue. A mixed method approach was taken throughout. In both cycles, Shapiro's criteria were used as a conceptual framework for the evaluation of the initiative. This paper focuses on the perceived and actual effects of the intervention on participants' MSMK. As well as its contribution at a local and national level, the study provides an Irish perspective on approaches taken to address the phenomenon internationally.

  2. "Why Do We Have to Do This?" Primary Trainee Teachers' Views of a Subject Knowledge Audit in Mathematics

    ERIC Educational Resources Information Center

    Murphy, Carol

    2006-01-01

    This paper examines theoretical and empirical evidence related to primary teachers' subject knowledge in mathematics and considers the relevance of an audit of higher-level subject knowledge to the subject knowledge required for teaching primary mathematics. Questionnaires and interviews were carried out to determine the views of generalist…

  3. Increasing Students' Involvement in Technology-Supported Mathematics Lesson Sequences

    ERIC Educational Resources Information Center

    Prodromou, Theodosia; Lavicza, Zsolt; Koren, Balazs

    2015-01-01

    This article aims to report on a pilot or proof of concept study with experienced Hungarian teachers who introduced mathematical concepts through a sequence of lessons utilising a pedagogical framework (Lavicza, Hohenwarter, Jones, Lu and Dawes, 2009a and Lavicza, Hohenwarter and Lu 2009b) for general technology integration. Our aim was to examine…

  4. The increasing dominance of teams in production of knowledge.

    PubMed

    Wuchty, Stefan; Jones, Benjamin F; Uzzi, Brian

    2007-05-18

    We have used 19.9 million papers over 5 decades and 2.1 million patents to demonstrate that teams increasingly dominate solo authors in the production of knowledge. Research is increasingly done in teams across nearly all fields. Teams typically produce more frequently cited research than individuals do, and this advantage has been increasing over time. Teams now also produce the exceptionally high-impact research, even where that distinction was once the domain of solo authors. These results are detailed for sciences and engineering, social sciences, arts and humanities, and patents, suggesting that the process of knowledge creation has fundamentally changed.

  5. Building a Knowledge Base: Understanding Prospective Elementary Teachers' Mathematical Content Knowledge

    ERIC Educational Resources Information Center

    Thanheiser, Eva; Browning, Christine; Edson, Alden J.; Kastberg, Signe; Lo, Jane-Jane

    2013-01-01

    This survey of the literature summarizes and reflects on research findings regarding elementary preservice teachers' (PSTs') mathematics conceptions and the development thereof. Despite the current focus on teacher education, peer-reviewed journals offer a surprisingly sparse insight in these areas. The limited research that exists…

  6. Increasing military social work knowledge: an evaluation of learning outcomes.

    PubMed

    Forgey, Mary Ann; Young, Sharon L

    2014-02-01

    Service members and veterans face a myriad of health, mental health, and social challenges stemming from the combat and operational stressors experienced during deployment and the challenges ofreintegration to civilian life. To intervene effectively with this population, social workers must be knowledgeable about these issues and the cultural context within which they occur. Although schools of social work across the country are developing course work in military social work, little is known about the learning outcomes of these courses. This article describes a military social work course that was developed to increase student preparedness to work with a military or veteran population and the learning outcomes achieved. Using a quasi-experimental pre-post design, this study compared the learning outcomes of students enrolled in the course with a group of students who had not taken the course. To measure this knowledge, the authors developed a 50-item Military Social Work Knowledge Scale for the study. Significant differences between pre- and posttest scores were found for the social work students enrolled in the course. Specific areas of knowledge that increased for the class participants included knowledge about cultural sensitivity to military populations and knowledge about service and advocacy frameworks.

  7. Teachers' Understanding of Mathematical Cognition in Childhood: Towards a Shift in Pedagogical Content Knowledge?

    ERIC Educational Resources Information Center

    Henning, Elizabeth

    2013-01-01

    This article about the discourse of pedagogy as related to child cognition in mathematics addresses the issue of what constitutes the main disciplinary content and the pedagogical content knowledge (PCK) of foundation-phase teachers. I argue that, unless child cognition itself is the primary disciplinary content of foundation-phase teacher's…

  8. Fundamentalization of knowledge system on applied mathematics in teaching students of inverse problems for differential equations

    NASA Astrophysics Data System (ADS)

    Bidaibekov, Yessen Y.; Kornilov, Viktor S.; Kamalova, Guldina B.; Akimzhan, Nagima Sh.

    2015-09-01

    Methodical aspects of teaching students of higher educational institutions of natural science orientations of training of inverse problems for differential equations are considered in the article. A fact that an academic knowledge and competence in the field of applied mathematics is formed during such training is taken into consideration.

  9. Studying Challenges in Integrating Technology in Secondary Mathematics with Technological Pedagogical and Content Knowledge (TPACK)

    ERIC Educational Resources Information Center

    Stoilescu, Dorian

    2014-01-01

    This paper describes challenges encountered by two secondary mathematics teachers when they try to integrate ICT devices in their classes. These findings are based on using the Technological Pedagogical and Content Knowledge (TPACK) context, the four dimension framework developed by Niess: 1) overarching conceptions of integrating ICT, 2)…

  10. High School Teachers' Problem Solving Activities to Review and Extend Their Mathematical and Didactical Knowledge

    ERIC Educational Resources Information Center

    Santos-Trigo, Manuel; Barrera-Mora, Fernando

    2011-01-01

    The study documents the extent to which high school teachers reflect on their need to revise and extend their mathematical and practicing knowledge. In this context, teachers worked on a set of tasks as a part of an inquiring community that promoted the use of different computational tools in problem solving approaches. Results indicated that the…

  11. A Critical Examination of the Technological Pedagogical Content Knowledge Framework: Secondary School Mathematics Teachers Integrating Technology

    ERIC Educational Resources Information Center

    Stoilescu, Dorian

    2015-01-01

    This study explores the Technological Pedagogical Content Knowledge (TPACK) for three experienced mathematics secondary teachers from a Toronto public school. By using a multiple case study, teachers' attitudes, skills, and approaches toward the use of Information and Communications Technology (ICT) in classrooms are described. By being aware of…

  12. Developing Mathematics Teacher Knowledge: The Paradidactic Infrastructure of "Open Lesson" in Japan

    ERIC Educational Resources Information Center

    Miyakawa, Takeshi; Winslow, Carl

    2013-01-01

    In this paper, we first present a theoretical approach to study mathematics teacher knowledge and the conditions for developing it, which is firmly rooted in a systemic approach to didactic phenomena at large, namely the anthropological theory of the didactic. Then, a case of open lesson is presented and analysed, using this theoretical approach,…

  13. Socioeconomic Status and Preschoolers' Mathematical Knowledge: The Contribution of Home Activities and Parent Beliefs

    ERIC Educational Resources Information Center

    DeFlorio, Lydia; Beliakoff, Amber

    2015-01-01

    Research Findings: Children from families of lower socioeconomic status (SES) enter kindergarten with less developed mathematical knowledge compared to children from middle SES families. This discrepancy is present at age 3 years and likely stems from differences in the home learning environment. This study reports SES-related differences both in…

  14. Preservice Mathematics Teachers' Views on Distance Education and Their Web Pedagogical Content Knowledge

    ERIC Educational Resources Information Center

    Cagirgan Gulten, Dilek

    2013-01-01

    This research aims to investigate primary preservice mathematics teachers' views on distance education and web pedagogical content knowledge in terms of the subscales of general web, communicative web, pedagogical web, web pedagogical content and attitude towards web based instruction. The research was conducted with 46 senior students in the…

  15. Developing Mathematical Knowledge for Teaching in a Methods Course: The Case of Function

    ERIC Educational Resources Information Center

    Steele, Michael D.; Hillen, Amy F.; Smith, Margaret S.

    2013-01-01

    This study describes teacher learning in a teaching experiment consisting of a content-focused methods course involving the mathematical knowledge for teaching function. Prospective and practicing teachers in the course showed growth in their ability to define function, to provide examples of functions and link them to the definition, in the…

  16. Developing Teachers' Knowledge of Students as Learners of Mathematics through Structured Interviews

    ERIC Educational Resources Information Center

    Jenkins, Oliver F.

    2010-01-01

    A structured interview process is proffered as an effective means to advance prospective teachers' understandings of students as learners of mathematics, a key component of pedagogical content knowledge. The interview process is carried out in three phases with the primary objective of developing listening skills for accessing students'…

  17. Developing Technological Pedagogical Content Knowledge in Pre-Service Mathematics Teachers through Collaborative Design

    ERIC Educational Resources Information Center

    Agyei, Douglas D.; Voogt, Joke

    2012-01-01

    Although many studies have shown the need to pay attention to teachers' preparation for the integration of technology in classroom practice, most teachers in Ghana have not had any preparation that develops their technological pedagogical content knowledge (TPCK). This paper presents a case study of four pre-service mathematics teachers from the…

  18. Rethinking about the Pedagogy for Pedagogical Content Knowledge in the Context of Mathematics Teaching

    ERIC Educational Resources Information Center

    Ozmantar, Mehmet Fatih

    2011-01-01

    This study reconsiders the notion of pedagogy for pedagogical content knowledge (PCK) in the context of teaching mathematics. The perspectives of critical pedagogy are employed for this reconsideration, stressing the operation of historical, social, ideological, political, institutional and cultural forces in the production of pedagogical…

  19. Does Strategy Knowledge Influence Working Memory in Children with Mathematical Disabilities?

    ERIC Educational Resources Information Center

    Keeler, Marsha L.; Swanson, H. Lee

    2001-01-01

    A study investigated the relationship between working memory (WM), declarative strategy knowledge, and math achievement in 111 children with and without mathematical disabilities (MD). Results found verbal and visual-spatial WM, stable verbal strategy choices, and expert strategy choices related to visual-spatial processing all contributed…

  20. Developing Primary Pre-Service Teachers' Mathematical Content Knowledge during Practicum Teaching

    ERIC Educational Resources Information Center

    Livy, Sharyn L.; Vale, Colleen; Herbert, Sandra

    2016-01-01

    While it is recognised that a teachers' mathematical content knowledge (MCK) is crucial for teaching, less is known about when different categories of MCK develop during teacher education. This paper reports on two primary pre-service teachers, whose MCK was investigated during their practicum experiences in first, second and fourth years of a…

  1. Microteaching Lesson Study: Mentor Interaction Structure and Its Relation to Elementary Preservice Mathematics Teacher Knowledge Development

    ERIC Educational Resources Information Center

    Molina, Roxanne V.

    2012-01-01

    This study investigated Microteaching Lesson Study (MLS) and three possible MLS mentor interaction structures during the debriefing sessions in relation to elementary preservice teacher development of knowledge for teaching. One hundred three elementary preservice teachers enrolled in five different sections of a mathematics methods course at a…

  2. Family Child Care Learning Environments: Caregiver Knowledge and Practices Related to Early Literacy and Mathematics

    ERIC Educational Resources Information Center

    Phillips, Beth M.; Morse, Erika E.

    2011-01-01

    This paper presents findings from a stratified-random survey of family child care providers' backgrounds, caregiving environments, practices, attitudes, and knowledge related to language, literacy, and mathematics development for preschool children. Descriptive results are consistent with prior studies suggesting that home-based providers are…

  3. Emergences and Affordances as Opportunities to Develop Teachers' Mathematical Content Knowledge

    ERIC Educational Resources Information Center

    Julie, Cyril

    2014-01-01

    Teachers' mathematical content knowledge has been under scrutiny for some time. This development is in the wake of learners' unsatisfactory performance in national examinations and international achievement tests. A widely held belief is that one, if not the most important, of the efforts to improve and enhance the performance and…

  4. A Collaborative Inquiry to Promote Pedagogical Knowledge of Mathematics in Practice

    ERIC Educational Resources Information Center

    Moghaddam, Alireza; Sarkar Arani, Mohammad Reza; Kuno, Hiroyuki

    2015-01-01

    The present study attempts to report a collaborative cycle of professional development in teaching elementary school mathematics through lesson study. It explores a practice of lesson study conducted by teachers aiming to improve their knowledge of pedagogy. The study adopts an ethnographic approach to examine how collaborative teaching within an…

  5. Technological pedagogical content knowledge and teaching practice of mathematics trainee teachers

    NASA Astrophysics Data System (ADS)

    Tajudin, Nor'ain Mohd.; Kadir, Noor Zarinawaty Abd.

    2014-07-01

    This study aims to identify the level of technological pedagogical content knowledge (TPCK) of mathematics trainee teachers at Universiti Pendidikan Sultan Idris (UPSI) and explore their teaching practices during practical training at school. The study was conducted in two phases using a mix-method research. In the first phase, a survey method using a questionnaire was carried out on 156 trainee teachers of Bachelor of Mathematics Education (AT14) and Bachelor of Science (Mathematics) with Education (AT48). The instrument used was a questionnaire that measures the level of content knowledge, pedagogy, technology and TPCK of mathematics. Data were analyzed using descriptive statistics, namely the mean. While in the second phase, the interview method involved four trainee teachers were performed. The instrument used was the semi-structured interview protocol to assess the trainee teacher's TPCK integration in their teaching practice. Data were analyzed using the content analysis. The findings showed that the level of knowledge of TPCK among trainee teachers was moderate with overall mean score of 3.60. This level did not show significant differences between the two programs with mean scores of 3.601 for the AT14 group and 3.603 for the AT48 group. However, there was a difference for gender classification such that the female trainees had mean score of 3.58 and male trainees with mean score of 3.72. Although students' TPCK level was moderate, the level of content knowledge (CK), technological knowledge (TK) and pedagogical knowledge (PK), showed a higher level with overall mean scores of 3.75, 3.87 and 3.84 respectively. The findings also showed that in terms of content knowledge, trainee teacher's learning mathematics background was good, but the knowledge of mathematics was limited in the curriculum, philosophy and application aspect. In terms of pedagogical content knowledge, all respondents tend to use lecture and discussion methods in teaching Trigonometry topic

  6. Singapore Pre-Service Secondary Mathematics Teachers' Content Knowledge: Findings from an International Comparative Study

    ERIC Educational Resources Information Center

    Toh, Tin Lam; Kaur, Berinderjeet; Koay, Phong Lee

    2013-01-01

    In this article, we explore the mathematical content knowledge of one entire cohort of pre-service teachers (N = 107) through analysing their performance in a Secondary Mathematics Audit that was developed for the International Comparative Studies in Mathematics Teacher Training that was initiated by the University of Plymouth. We study how their…

  7. Content Knowledge, Attitudes, and Self-Efficacy in the Mathematics New York City Teaching Fellows (NYCTF) Program

    ERIC Educational Resources Information Center

    Evans, Brian R.

    2011-01-01

    The purpose of this study was to understand the mathematical content knowledge new teachers have both before and after taking a mathematics methods course in the NYCTF program. Further, the purpose was to understand the attitudes toward mathematics and concepts of self-efficacy that Teaching Fellows had over the course of the semester. The sample…

  8. A Study of Students' Conceptual, Procedural Knowledge, Logical Thinking and Creativity during the First Year of Tertiary Mathematics

    ERIC Educational Resources Information Center

    Tularam, Gurudeo Anand; Hulsman, Kees

    2015-01-01

    This study focuses on students in first year environmental science degree programs, where traditionally mathematical emphasis has been much less than within the strict science or math majors. The importance now placed on applied mathematics, however, means that students need to gain more conceptual and quantitative knowledge of mathematics in not…

  9. Concept Maps Provide a Window onto Preservice Elementary Teachers' Knowledge in the Teaching and Learning of Mathematics

    ERIC Educational Resources Information Center

    Chichekian, Tanya; Shore, Bruce M.

    2013-01-01

    This collaborative concept-mapping exercise was conducted in a second-year mathematics methods course. Teachers' visual representations of their mathematical content and pedagogical knowledge provided insight into their understanding of how students learn mathematics. We collected 28 preservice student teachers' concept maps and analyzed them by…

  10. A Review of Research on Prospective Teachers' Learning about Children's Mathematical Thinking and Cultural Funds of Knowledge

    ERIC Educational Resources Information Center

    Turner, Erin E.; Drake, Corey

    2016-01-01

    Researchers have studied the preparation of elementary teachers to teach mathematics to students from diverse racial, ethnic, and linguistic backgrounds by focusing either on teachers' learning about children's mathematical thinking (CMT) or, less frequently, about children's cultural funds of knowledge (CFoK) related to mathematics. Despite this…

  11. [The discussion of the infiltrative model of mathematical knowledge to genetics teaching].

    PubMed

    Liu, Jun; Luo, Pei-Gao

    2011-11-01

    Genetics, the core course of biological field, is an importance major-basic course in curriculum of many majors related with biology. Due to strong theoretical and practical as well as abstract of genetics, it is too difficult to study on genetics for many students. At the same time, mathematics is one of the basic courses in curriculum of the major related natural science, which has close relationship with the establishment, development and modification of genetics. In this paper, to establish the intrinsic logistic relationship and construct the integral knowledge network and to help students improving the analytic, comprehensive and logistic abilities, we applied some mathematical infiltrative model genetic knowledge in genetics teaching, which could help students more deeply learn and understand genetic knowledge.

  12. The Relationship Between Teachers' Mathematical Content and Pedagogical Knowledge, Teachers' Perceptions, and Student Achievement

    ERIC Educational Resources Information Center

    Campbell, Patricia F.; Nishio, Masako; Smith, Toni M.; Clark, Lawrence M.; Conant, Darcy L.; Rust, Amber H.; DePiper, Jill Neumayer; Frank, Toya Jones; Griffin, Matthew J.; Choi, Youyoung

    2014-01-01

    This study of early-career teachers identified a significant relationship between upper-elementary teachers' mathematical content knowledge and their students' mathematics achievement, after controlling for student- and teacher-level characteristics. Findings provide evidence of the relevance of teacher knowledge and perceptions for…

  13. Effects of Prior Knowledge in Mathematics on Learner-Interface Interactions in a Learning-by-Teaching Intelligent Tutoring System

    ERIC Educational Resources Information Center

    Bringula, Rex P.; Basa, Roselle S.; Dela Cruz, Cecilio; Rodrigo, Ma. Mercedes T.

    2016-01-01

    This study attempted to determine the influence of prior knowledge in mathematics of students on learner-interface interactions in a learning-by-teaching intelligent tutoring system. One hundred thirty-nine high school students answered a pretest (i.e., the prior knowledge in mathematics) and a posttest. In between the pretest and posttest, they…

  14. Examining prospective mathematics teachers' pedagogical content knowledge on fractions in terms of students' mistakes

    NASA Astrophysics Data System (ADS)

    Şahin, Ömer; Gökkurt, Burçin; Soylu, Yasin

    2016-05-01

    The aim of the study is to examine prospective mathematics teachers' pedagogical content knowledge in terms of knowledge of understanding students and knowledge of instructional strategies which are the subcomponents of pedagogical content knowledge. The participants of this research consist of 98 prospective teachers who are studying in two universities in Turkey. The participants were selected with the purposive sampling method which is one of the non-random sampling methods. Case study method, which is based on the qualitative research approach, was used. The answers given by secondary school students to fraction-related open-ended questions in the study of Soylu and Soylu were used as the data collection tool. The obtained data were analyzed via the content analysis technique. The analyses showed that the prospective mathematics teachers' pedagogical content knowledge on fractions was not at an adequate level in identifying and correcting students' errors. However, it was observed that the prospective teachers experienced more difficulty in the knowledge of instructional strategies compared to the knowledge of understanding students.

  15. Characteristics and Impact of the Further Mathematics Knowledge Networks: Analysis of an English Professional Development Initiative on the Teaching of Advanced Mathematics

    ERIC Educational Resources Information Center

    Ruthven, Kenneth

    2014-01-01

    Reports from 13 Further Mathematics Knowledge Networks supported by the National Centre for Excellence in the Teaching of Mathematics [NCETM] are analysed. After summarizing basic characteristics of the networks regarding leadership, composition and pattern of activity, each of the following aspects is examined in greater depth: Developmental aims…

  16. Hands-On Mathematics: Two Cases from Ancient Chinese Mathematics

    ERIC Educational Resources Information Center

    Wang, Youjun

    2009-01-01

    In modern mathematical teaching, it has become increasingly emphasized that mathematical knowledge should be taught by problem-solving, hands-on activities, and interactive learning experiences. Comparing the ideas of modern mathematical education with the development of ancient Chinese mathematics, we find that the history of mathematics in…

  17. Knowledge Building and Mathematics: Shifting the Responsibility for Knowledge Advancement and Engagement

    ERIC Educational Resources Information Center

    Moss, Joan; Beatty, Ruth

    2010-01-01

    Three classrooms of Grade 4 students from different schools and diverse backgrounds collaborated in early algebra research to solve a series of linear and quadratic generalizing problems. Results revealed that high- and low-achieving students were able to solve problems of recognized difficulty. We discuss Knowledge Building principles and…

  18. Iterating between Lessons on Concepts and Procedures Can Improve Mathematics Knowledge

    ERIC Educational Resources Information Center

    Rittle-Johnson, Bethany; Koedinger, Kenneth

    2009-01-01

    Background: Knowledge of concepts and procedures seems to develop in an iterative fashion, with increases in one type of knowledge leading to increases in the other type of knowledge. This suggests that iterating between lessons on concepts and procedures may improve learning. Aims: The purpose of the current study was to evaluate the…

  19. Construction of teacher knowledge in context: Preparing elementary teachers to teach mathematics and science

    NASA Astrophysics Data System (ADS)

    Lowery, Maye Norene Vail

    1998-12-01

    The purposes of this study were to further the understanding of how preservice teacher construct teacher knowledge and pedagogical content knowledge of elementary mathematics and science and to determine the extent of that knowledge in a school-based setting. Preservice teachers, university instructors, inservice teachers, and other school personnel were involved in this context-specific study. Evidence of the preservice teachers' knowledge construction (its acquisition, its dimensions, and the social context) was collected through the use of a qualitative methodology. Collected data included individual and group interviews, course documents, artifacts, and preservice teaching portfolios. Innovative aspects of this integrated mathematics and science elementary methods course included standards-based instruction with immediate access to field experiences. Grade-level teams of preservice and inservice teachers planned and implemented lessons in mathematics and science for elementary students. An on-site, portable classroom building served as a mathematics and science teaching and learning laboratory. A four-stage analysis was performed, revealing significant patterns of learning. An ecosystem of learning within a constructivist learning environment was identified to contain three systems: the university system; the school system; and the cohort of learners system. A mega system for the construction of teacher knowledge was revealed in the final analysis. Learning venues were discovered to be the conduits of learning in a situated learning context. Analysis and synthesis of data revealed an extensive acquisition of teacher knowledge and pedagogical content knowledge through identified learning components. Patience, flexibility, and communication were identified as necessities for successful teaching. Learning components included: collaboration with inservice teachers; implementation of discovery learning and hands-on/minds-on learning; small groupwork; lesson planning

  20. Widening and Increasing Post-16 Mathematics Participation: Pathways, Pedagogies and Politics

    ERIC Educational Resources Information Center

    Noyes, Andrew; Wake, Geoff; Drake, Pat

    2011-01-01

    This paper explores the potential impact of a national pilot initiative in England aimed at increasing and widening participation in advanced mathematical study through the creation of a new qualification for 16- to 18-year-olds. This proposed qualification pathway--"Use of Mathematics"--sits in parallel with long-established, traditional advanced…

  1. Limited knowledge of fraction representations differentiates middle school students with mathematics learning disability (dyscalculia) vs. low mathematics achievement

    PubMed Central

    Mazzocco, Michèle M. M.; Myers, Gwen F.; Lewis, Katherine E.; Hanich, Laurie B.; Murphy, Melissa M.

    2014-01-01

    Fractions pose significant challenges for many children, but for some children those challenges persist into high school. Here we administered a fractions magnitude comparison test to 122 children, from Grades 4 to 8, to test whether their knowledge of fractions typically learned early in the sequence of formal math instruction (e.g., fractions equivalent to “one-half,” and fraction pairs with common denominators) differentiates those with mathematical learning disability (MLD) versus low achievement (LA) or typical achievement (TA) in mathematics, and whether long term learning trajectories of this knowledge also differentiate these groups. We confirmed that although 4th graders with LA (n = 18) or TA (n = 93) are more accurate evaluating one-half vs. non-half fractions (until they reach ceiling performance levels on both types of fractions), children with MLD (n=11) do not show a one-half advantage until Grade 7 and do not reach ceiling performance even by Grade 8. Both the MLD and LA groups have early difficulties with fractions, but by Grade 5 the LA group approaches performance levels of the TA group and deviates from the MLD group. All groups showed a visual model advantage over Arabic number representation of fractions, but this advantage was short lived for the TA group (because ceiling level was achieved across formats), slightly more persistent for the LA group, and persisted through Grade 8 for children with MLD. Thus, difficulties with fractions persist through Grade 8 for many students, but the nature and trajectories of those difficulties varies across children with math difficulties (MLD or LA). PMID:23587941

  2. Limited knowledge of fraction representations differentiates middle school students with mathematics learning disability (dyscalculia) versus low mathematics achievement.

    PubMed

    Mazzocco, Michèle M M; Myers, Gwen F; Lewis, Katherine E; Hanich, Laurie B; Murphy, Melissa M

    2013-06-01

    Fractions pose significant challenges for many children, but for some children those challenges persist into high school. Here we administered a fractions magnitude comparison test to 122 children, from Grades 4 to 8, to test whether their knowledge of fractions typically learned early in the sequence of formal math instruction (e.g., fractions equivalent to one-half, fraction pairs with common denominators) differentiates those with mathematics learning disability (MLD) versus low achievement (LA) or typical achievement (TA) in mathematics and whether long-term learning trajectories of this knowledge also differentiate these groups. We confirmed that although fourth graders with TA (n=93) were more accurate in evaluating "one-half" fractions than in evaluating "non-half" fractions (until they reached ceiling performance levels on both types of fractions), children with MLD (n=11) did not show a one-half advantage until Grade 7 and did not reach ceiling performance even by Grade 8. Both the MLD and LA groups had early difficulties with fractions, but by Grade 5 the LA group approached performance levels of the TA group and deviated from the MLD group. All groups showed a visual model advantage over Arabic number representation of fractions, but this advantage was short-lived for the TA group (because ceiling level was achieved across formats), whereas it was slightly more persistent for the LA group and persisted through Grade 8 for children with MLD. Thus, difficulties with fractions persist through Grade 8 for many students, but the nature and trajectories of those difficulties vary across children with math difficulties (MLD or LA). PMID:23587941

  3. Limited knowledge of fraction representations differentiates middle school students with mathematics learning disability (dyscalculia) versus low mathematics achievement.

    PubMed

    Mazzocco, Michèle M M; Myers, Gwen F; Lewis, Katherine E; Hanich, Laurie B; Murphy, Melissa M

    2013-06-01

    Fractions pose significant challenges for many children, but for some children those challenges persist into high school. Here we administered a fractions magnitude comparison test to 122 children, from Grades 4 to 8, to test whether their knowledge of fractions typically learned early in the sequence of formal math instruction (e.g., fractions equivalent to one-half, fraction pairs with common denominators) differentiates those with mathematics learning disability (MLD) versus low achievement (LA) or typical achievement (TA) in mathematics and whether long-term learning trajectories of this knowledge also differentiate these groups. We confirmed that although fourth graders with TA (n=93) were more accurate in evaluating "one-half" fractions than in evaluating "non-half" fractions (until they reached ceiling performance levels on both types of fractions), children with MLD (n=11) did not show a one-half advantage until Grade 7 and did not reach ceiling performance even by Grade 8. Both the MLD and LA groups had early difficulties with fractions, but by Grade 5 the LA group approached performance levels of the TA group and deviated from the MLD group. All groups showed a visual model advantage over Arabic number representation of fractions, but this advantage was short-lived for the TA group (because ceiling level was achieved across formats), whereas it was slightly more persistent for the LA group and persisted through Grade 8 for children with MLD. Thus, difficulties with fractions persist through Grade 8 for many students, but the nature and trajectories of those difficulties vary across children with math difficulties (MLD or LA).

  4. Increasing Cognitive Inhibition with a Difficult Prior Task: Implications for Mathematical Thinking

    ERIC Educational Resources Information Center

    Attridge, Nina; Inglis, Matthew

    2015-01-01

    Dual-process theories posit two distinct types of cognitive processing: Type 1, which does not use working memory making it fast and automatic, and Type 2, which does use working memory making it slow and effortful. Mathematics often relies on the inhibition of pervasive Type 1 processing to apply new skills or knowledge that require Type 2…

  5. The Effect of Teacher Education Programs on Future Elementary Mathematics Teachers' Knowledge: A Five-Country Analysis Using TEDS-M Data

    ERIC Educational Resources Information Center

    Qian, Hong; Youngs, Peter

    2016-01-01

    This article addresses the problem of how opportunities to learn in teacher education programs influence future elementary mathematics teachers' knowledge. This study used data collected for the Teacher Education and Development Study in Mathematics (TEDS-M). TEDS-M measured the mathematics content knowledge (MCK) and the mathematics pedagogical…

  6. Increasing Student Mathematics Self-Efficacy through Teacher Training

    ERIC Educational Resources Information Center

    Siegle, Del; McCoach, D. Betsy

    2007-01-01

    Teachers can modify their instructional strategies with minimal training and effort, and this can result in increases in their students' self-efficacy. Self-efficacy judgments are based on four sources of information: an individual's own past performance, vicarious experiences of observing the performances of others, verbal persuasion that one…

  7. A fuzzy mathematics model for radioactive waste characterization by process knowledge

    SciTech Connect

    Smith, M.; Stevens, S.; Elam, K.; Vrba, J.

    1994-12-31

    Fuzzy mathematics and fuzzy logic are means for making decisions that can integrate complicated combinations of hard and soft factors and produce mathematically validated results that can be independently verified. In this particular application, several sources of information regarding the waste stream have been compiled, including facility operating records, other waste generated from the facility in the past, laboratory analysis results, and interviews with facility personnel. A fuzzy mathematics model is used to interrelate these various sources of information and arrive at a defensible estimate of the contaminant concentration in the final waste product. The model accounts for the separate process knowledge-based contaminant concentrations by providing a weighted averaging technique to incorporate information from the various sources. Reliability estimates are provided for each of the component pieces of information and combined using the model into an estimate that provides a near-probabilistic value for contaminant concentration. The speadsheet accounts for the estimated uncertainty in the concentration on the basis of {open_quotes}reliability curves,{close_quotes} which are derived from personal process knowledge as well as limited independent measurements.

  8. Increasing Awareness of Practice through Interaction across Communities: The Lived Experiences of a Mathematician and Mathematics Teacher Educator

    ERIC Educational Resources Information Center

    Bleiler, Sarah K.

    2015-01-01

    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…

  9. Exploring the Relationship between Teachers Prominence in Online Collaboration and the Development of Mathematical Content Knowledge for Teaching

    ERIC Educational Resources Information Center

    Silverman, Jason

    2012-01-01

    We report on our efforts to support teachers' development of mathematical knowledge for teaching through online professional development focusing on authentic engagement in collaborative mathematical problem solving. In particular, this paper seeks to explore and understand the relationship between teachers' participation in professional…

  10. Engaging in Problem Posing Activities in a Dynamic Geometry Setting and the Development of Prospective Teachers' Mathematical Knowledge

    ERIC Educational Resources Information Center

    Lavy, Ilana; Shriki, Atara

    2010-01-01

    In the present study we explore changes in perceptions of our class of prospective mathematics teachers (PTs) regarding their mathematical knowledge. The PTs engaged in problem posing activities in geometry, using the "What If Not?" (WIN) strategy, as part of their work on computerized inquiry-based activities. Data received from the PTs'…

  11. Using Video Analysis to Support Prospective K-8 Teachers' Noticing of Students' Multiple Mathematical Knowledge Bases

    ERIC Educational Resources Information Center

    Roth McDuffie, Amy; Foote, Mary Q.; Bolson, Catherine; Turner, Erin E.; Aguirre, Julia M.; Bartell, Tonya Gau; Drake, Corey; Land, Tonia

    2014-01-01

    As part of a larger research project aimed at transforming preK-8 mathematics teacher preparation, the purpose of this study was to examine the extent to which prospective teachers notice children's competencies related to children's mathematical thinking, and children's community, cultural, and linguistic funds of knowledge or what…

  12. Teacher Knowledge That Supports Student Processes in Learning Mathematics: A Study at All-Female Middle Schools in Saudi Arabia

    ERIC Educational Resources Information Center

    Alsaeed, Maha Saad

    2012-01-01

    Teachers in Saudi Arabia are attempting to advance their teaching in mathematics to address specific reforms by the Ministry of Education. Saudi teachers must improve their students' thinking through engagement in problem solving. This qualitative study investigated how teachers use knowledge of student mathematical learning and how they…

  13. Impact of a Required Pharmaceutical Calculations Course on Mathematics Ability and Knowledge Retention

    PubMed Central

    Buring, Shauna M.; Papas, Elizabeth

    2013-01-01

    Objective. To assess doctor of pharmacy (PharmD) students’ mathematics ability by content area before and after completing a required pharmaceutical calculations course and to analyze changes in scores. Methods. A mathematics skills assessment was administered to 2 cohorts of pharmacy students (class of 2013 and 2014) before and after completing a pharmaceutical calculations course. The posttest was administered to the second cohort 6 months after completing the course to assess knowledge retention. Results. Both cohorts performed significantly better on the posttest (cohort 1, 13% higher scores; cohort 2, 15.9% higher scores). Significant improvement on posttest scores was observed in 6 of the 10 content areas for cohorts 1 and 2. Both cohorts scored lower in percentage calculations on the posttest than on the pretest. Conclusions. A required, 1-credit-hour pharmaceutical calculations course improved PharmD students’ overall ability to perform fundamental and application-based calculations. PMID:23966727

  14. Characterizing the Use of Mathematical Knowledge in Boundary-Crossing Situations at Work

    ERIC Educational Resources Information Center

    Kent, Phillip; Noss, Richard; Guile, David; Hoyles, Celia; Bakker, Arthur

    2007-01-01

    The first aim of this article is to present a characterization of the techno-mathematical literacies needed for effective practice in modern, technology-rich workplaces that are both highly automated and increasingly focused on flexible response to customer needs. The second aim is to introduce an epistemological dimension to activity theory,…

  15. The impact of assumed knowledge entry standards on undergraduate mathematics teaching in Australia

    NASA Astrophysics Data System (ADS)

    King, Deborah; Cattlin, Joann

    2015-10-01

    Over the last two decades, many Australian universities have relaxed their selection requirements for mathematics-dependent degrees, shifting from hard prerequisites to assumed knowledge standards which provide students with an indication of the prior learning that is expected. This has been regarded by some as a positive move, since students who may be returning to study, or who are changing career paths but do not have particular prerequisite study, now have more flexible pathways. However, there is mounting evidence to indicate that there are also significant negative impacts associated with assumed knowledge approaches, with large numbers of students enrolling in degrees without the stated assumed knowledge. For students, there are negative impacts on pass rates and retention rates and limitations to pathways within particular degrees. For institutions, the necessity to offer additional mathematics subjects at a lower level than normal and more support services for under-prepared students impacts on workloads and resources. In this paper, we discuss early research from the First Year in Maths project, which begins to shed light on the realities of a system that may in fact be too flexible.

  16. Increasing Mathematics and Science Achievement for Culturally Diverse Students through Teaching Training

    NASA Technical Reports Server (NTRS)

    Mahon, Lee

    1997-01-01

    The purpose of this proposal was to field test and evaluate a Teacher Training program that would prepare teachers to increase the motivation and achievement of culturally diverse students in the areas of science and mathematics. Designed as a three year program, this report covers the first two years of the training program at the Ronald McNair School in the Ravenswood School district, using the resources of the NASA Ames Research Center and the California Framework for Mathematics and Science.

  17. A Missing Piece in an Elementary School Mathematics Teacher's Knowledge Base

    ERIC Educational Resources Information Center

    Anderson, Hal; Kim, Simon

    2003-01-01

    Elementary school mathematics teaching begins with the teacher's understanding of the mathematical content to be taught. The teacher knows how to "do" the mathematics, i. e., understands the concepts and truths concerning that mathematics. The teacher then decides how to present the mathematics. Based on the students' background in mathematics,…

  18. A brief simulation intervention increasing basic science and clinical knowledge

    PubMed Central

    Sheakley, Maria L.; Gilbert, Gregory E.; Leighton, Kim; Hall, Maureen; Callender, Diana; Pederson, David

    2016-01-01

    Background The United States Medical Licensing Examination (USMLE) is increasing clinical content on the Step 1 exam; thus, inclusion of clinical applications within the basic science curriculum is crucial. Including simulation activities during basic science years bridges the knowledge gap between basic science content and clinical application. Purpose To evaluate the effects of a one-off, 1-hour cardiovascular simulation intervention on a summative assessment after adjusting for relevant demographic and academic predictors. Methods This study was a non-randomized study using historical controls to evaluate curricular change. The control group received lecture (nl=515) and the intervention group received lecture plus a simulation exercise (nl+s=1,066). Assessment included summative exam questions (n=4) that were scored as pass/fail (≥75%). USMLE-style assessment questions were identical for both cohorts. Descriptive statistics for variables are presented and odds of passage calculated using logistic regression. Results Undergraduate grade point ratio, MCAT-BS, MCAT-PS, age, attendance at an academic review program, and gender were significant predictors of summative exam passage. Students receiving the intervention were significantly more likely to pass the summative exam than students receiving lecture only (P=0.0003). Discussion Simulation plus lecture increases short-term understanding as tested by a written exam. A longitudinal study is needed to assess the effect of a brief simulation intervention on long-term retention of clinical concepts in a basic science curriculum. PMID:27060102

  19. Mathematics/Arithmetic Knowledge-Based Way of Thinking and Its Maintenance Needed for Engineers

    NASA Astrophysics Data System (ADS)

    Harada, Shoji

    Examining curriculum among universities revealed that no significant difference in math class or related subjects can be seen. However, amount and depth of those studies, in general, differed depending on content of curriculum and the level of achievement at entrance to individual university. Universalization of higher education shows that students have many problems in learning higher level of traditional math and that the memory of math they learned quickly fades away after passing in exam. It means that further development of higher math knowledgebased engineer after graduation from universities. Under these circumstances, the present author, as one of fun of math, propose how to maintain way of thinking generated by math knowledge. What necessary for engineer is to pay attention to common books, dealing with elementary mathematics or arithmetic- related matters. This surely leads engineer to nourish math/arithmetic knowledge-based way of thinking.

  20. Mathematical learning models that depend on prior knowledge and instructional strategies

    NASA Astrophysics Data System (ADS)

    Pritchard, David E.; Lee, Young-Jin; Bao, Lei

    2008-06-01

    We present mathematical learning models—predictions of student’s knowledge vs amount of instruction—that are based on assumptions motivated by various theories of learning: tabula rasa, constructivist, and tutoring. These models predict the improvement (on the post-test) as a function of the pretest score due to intervening instruction and also depend on the type of instruction. We introduce a connectedness model whose connectedness parameter measures the degree to which the rate of learning is proportional to prior knowledge. Over a wide range of pretest scores on standard tests of introductory physics concepts, it fits high-quality data nearly within error. We suggest that data from MIT have low connectedness (indicating memory-based learning) because the test used the same context and representation as the instruction and that more connected data from the University of Minnesota resulted from instruction in a different representation from the test.

  1. Bridging CAGD knowledge into CAD/CG applications: Mathematical theories as stepping stones of innovations

    NASA Astrophysics Data System (ADS)

    Gobithaasan, R. U.; Miura, Kenjiro T.; Hassan, Mohamad Nor

    2014-07-01

    Computer Aided Geometric Design (CAGD) which surpasses the underlying theories of Computer Aided Design (CAD) and Computer Graphics (CG) has been taught in a number of Malaysian universities under the umbrella of Mathematical Sciences' faculty/department. On the other hand, CAD/CG is taught either under the Engineering or Computer Science Faculty. Even though CAGD researchers/educators/students (denoted as contributors) have been enriching this field of study by means of article/journal publication, many fail to convert the idea into constructive innovation due to the gap that occurs between CAGD contributors and practitioners (engineers/product/designers/architects/artists). This paper addresses this issue by advocating a number of technologies that can be used to transform CAGD contributors into innovators where immediate impact in terms of practical application can be experienced by the CAD/CG practitioners. The underlying principle of solving this issue is twofold. First would be to expose the CAGD contributors on ways to turn mathematical ideas into plug-ins and second is to impart relevant CAGD theories to CAD/CG to practitioners. Both cases are discussed in detail and the final section shows examples to illustrate the importance of turning mathematical knowledge into innovations.

  2. A Review of the Literature: How Pre-Service Mathematics Teachers Develop Their Technological, Pedagogical, and Content Knowledge

    ERIC Educational Resources Information Center

    Yigit, Melike

    2014-01-01

    In recent years, researchers have advanced the Technological, Pedagogical, and Content Knowledge (TPACK) framework to describe both in-service and pre-service teachers' knowledge related to effectively integrating technology. This study is a systematic literature review about pre-service mathematics teachers' (PSMTs) development of TPACK, and the…

  3. Teachers' Analyses of Classroom Video Predict Student Learning of Mathematics: Further Explorations of a Novel Measure of Teacher Knowledge

    ERIC Educational Resources Information Center

    Kersting, Nicole B.; Givvin, Karen B.; Sotelo, Francisco L.; Stigler, James W.

    2010-01-01

    This study explores the relationship between teacher knowledge and student learning in the area of mathematics by developing and evaluating an innovative approach to assessing teacher knowledge. This approach is based on teachers' analyses of classroom video clips. Teachers watched 13 video clips of classroom instruction and then provided written…

  4. A Review of the Literature: How Pre-Service Mathematics Teachers Develop Their Technological, Pedagogical, and Content Knowledge

    ERIC Educational Resources Information Center

    Yigit, Melike

    2014-01-01

    In recent years, researchers have advanced the Technological, Pedagogical, and Content Knowledge (TPACK) framework to describe both in-service and pre-service teachers' knowledge related to effectively integrating technology. This study is a systematic literature review about pre-service mathematics teachers' (PSMTs) development of…

  5. Exploring Teachers' Capacity to Reflect on Their Practice: An Investigation into the Development of Mathematical Knowledge for Teaching

    ERIC Educational Resources Information Center

    Courtney, Scott Allen

    2010-01-01

    Although the idea of pedagogical content knowledge (PCK) has been elaborated in numerous studies, there has been little clarification of what constitutes it or research into its development. Furthermore, studies that have investigated PCK, or mathematical knowledge for teaching (MKT) as introduced by Thompson and Thompson, have historically…

  6. Types of Changes That Occur as Declarative Knowledge Increases

    ERIC Educational Resources Information Center

    Oosterhof, Albert

    2012-01-01

    Declarative knowledge involves being able to state and explain characteristics, terminologies, properties, phenomena, concepts, principles, and techniques. Chi and Ohlsson (2005) characterize it as the dominant form of knowledge, maintaining that it does not involve isolated units but rather is organized as semantic networks, theories, schemas, or…

  7. Implementing the "Professional Standards for Teaching Mathematics": The Excitement of Learning with Our Students--An Escalator of Mathematical Knowledge.

    ERIC Educational Resources Information Center

    Hoffer, Alan R.

    1993-01-01

    Discusses the potential that school mathematics has for being a source of exploration and discovery for students and teachers. Provides a process-oriented definition of understanding mathematics. Presents activities in which students construct computer and actual models of polyhedra and make conjectures regarding a medical research application of…

  8. Kindergarten children's growth trajectories in reading and mathematics: who falls increasingly behind?

    PubMed

    Morgan, Paul L; Farkas, George; Wu, Qiong

    2011-01-01

    The authors used a large sample of children (N ≈ 7,400) participating in the Early Childhood Longitudinal Study--Kindergarten Cohort (ECLS-K) to estimate kindergarten children's academic achievement growth trajectories in reading and mathematics. The authors were particularly interested in whether the growth trajectories of children with learning disabilities (LD) or speech language impairments (SLI)--as well as those of other groups of children--were consistent with a cumulative or compensatory developmental cycle. Both LD and SLI children displayed significantly lower levels of kindergarten reading achievement than nondisabled children. However, and over the subsequent 5 years of elementary school, only children with SLI lagged increasingly behind nondisabled peers in their reading skills growth. The authors observed a different pattern for mathematics achievement. Children with LD, but not SLI, lagged increasingly behind nondisabled children in their mathematics skills growth. The authors also observed some consistency in "poor-get-poorer" effects across reading and mathematic achievement for additional population subgroups. Those kindergarten children who were from lower socioeconomic status families, who were African American, and who more frequently displayed learning-related behavior problems initially had lower levels of reading and mathematics achievement and also lagged increasingly behind in their acquisition of these skills over time. Some groups of children, including those with SLI, experience a cumulative rather than a compensatory cycle of achievement growth. PMID:21856991

  9. An Analysis of Mathematics Interventions: Increased Time-on-Task Compared with Computer-Assisted Mathematics Instruction

    ERIC Educational Resources Information Center

    Calhoun, James M., Jr.

    2011-01-01

    Student achievement is not progressing on mathematics as measured by state, national, and international assessments. Much of the research points to mathematics curriculum and instruction as the root cause of student failure to achieve at levels comparable to other nations. Since mathematics is regarded as a gate keeper to many educational…

  10. Food-based Science Curriculum Increases 4(th) Graders Multidisciplinary Science Knowledge.

    PubMed

    Hovland, Jana A; Carraway-Stage, Virginia G; Cela, Artenida; Collins, Caitlin; Díaz, Sebastián R; Collins, Angelo; Duffrin, Melani W

    2013-10-01

    Health professionals and policymakers are asking educators to place more emphasis on food and nutrition education. Integrating these topics into science curricula using hand-on, food-based activities may strengthen students' understanding of science concepts. The Food, Math, and Science Teaching Enhancement Resource (FoodMASTER) Initiative is a compilation of programs aimed at using food as a tool to teach mathematics and science. Previous studies have shown that students experiencing the FoodMASTER curriculum were very excited about the activities, became increasingly interested in the subject matter of food, and were able to conduct scientific observations. The purpose of this study was to: 1) assess 4(th) graders food-related multidisciplinary science knowledge, and 2) compare gains in food-related science knowledge after implementation of an integrated, food-based curriculum. During the 2009-2010 school year, FoodMASTER researchers implemented a hands-on, food-based intermediate curriculum in eighteen 4(th) grade classrooms in Ohio (n=9) and North Carolina (n=9). Sixteen classrooms in Ohio (n=8) and North Carolina (n=8), following their standard science curricula, served as comparison classrooms. Students completed a researcher-developed science knowledge exam, consisting of 13 multiple-choice questions administered pre- and post-test. Only subjects with pre- and post-test scores were entered into the sample (Intervention n=343; Control n=237). No significant differences were observed between groups at pre-test. At post-test, the intervention group scored (9.95±2.00) significantly higher (p=.000) than the control group (8.84±2.37) on a 13-point scale. These findings suggest the FoodMASTER intermediate curriculum is more effective than a standard science curriculum in increasing students' multidisciplinary science knowledge related to food. PMID:25152539

  11. Food-based Science Curriculum Increases 4(th) Graders Multidisciplinary Science Knowledge.

    PubMed

    Hovland, Jana A; Carraway-Stage, Virginia G; Cela, Artenida; Collins, Caitlin; Díaz, Sebastián R; Collins, Angelo; Duffrin, Melani W

    2013-10-01

    Health professionals and policymakers are asking educators to place more emphasis on food and nutrition education. Integrating these topics into science curricula using hand-on, food-based activities may strengthen students' understanding of science concepts. The Food, Math, and Science Teaching Enhancement Resource (FoodMASTER) Initiative is a compilation of programs aimed at using food as a tool to teach mathematics and science. Previous studies have shown that students experiencing the FoodMASTER curriculum were very excited about the activities, became increasingly interested in the subject matter of food, and were able to conduct scientific observations. The purpose of this study was to: 1) assess 4(th) graders food-related multidisciplinary science knowledge, and 2) compare gains in food-related science knowledge after implementation of an integrated, food-based curriculum. During the 2009-2010 school year, FoodMASTER researchers implemented a hands-on, food-based intermediate curriculum in eighteen 4(th) grade classrooms in Ohio (n=9) and North Carolina (n=9). Sixteen classrooms in Ohio (n=8) and North Carolina (n=8), following their standard science curricula, served as comparison classrooms. Students completed a researcher-developed science knowledge exam, consisting of 13 multiple-choice questions administered pre- and post-test. Only subjects with pre- and post-test scores were entered into the sample (Intervention n=343; Control n=237). No significant differences were observed between groups at pre-test. At post-test, the intervention group scored (9.95±2.00) significantly higher (p=.000) than the control group (8.84±2.37) on a 13-point scale. These findings suggest the FoodMASTER intermediate curriculum is more effective than a standard science curriculum in increasing students' multidisciplinary science knowledge related to food.

  12. Food-based Science Curriculum Increases 4th Graders Multidisciplinary Science Knowledge

    PubMed Central

    Hovland, Jana A.; Carraway-Stage, Virginia G.; Cela, Artenida; Collins, Caitlin; Díaz, Sebastián R.; Collins, Angelo; Duffrin, Melani W.

    2013-01-01

    Health professionals and policymakers are asking educators to place more emphasis on food and nutrition education. Integrating these topics into science curricula using hand-on, food-based activities may strengthen students’ understanding of science concepts. The Food, Math, and Science Teaching Enhancement Resource (FoodMASTER) Initiative is a compilation of programs aimed at using food as a tool to teach mathematics and science. Previous studies have shown that students experiencing the FoodMASTER curriculum were very excited about the activities, became increasingly interested in the subject matter of food, and were able to conduct scientific observations. The purpose of this study was to: 1) assess 4th graders food-related multidisciplinary science knowledge, and 2) compare gains in food-related science knowledge after implementation of an integrated, food-based curriculum. During the 2009–2010 school year, FoodMASTER researchers implemented a hands-on, food-based intermediate curriculum in eighteen 4th grade classrooms in Ohio (n=9) and North Carolina (n=9). Sixteen classrooms in Ohio (n=8) and North Carolina (n=8), following their standard science curricula, served as comparison classrooms. Students completed a researcher-developed science knowledge exam, consisting of 13 multiple-choice questions administered pre- and post-test. Only subjects with pre- and post-test scores were entered into the sample (Intervention n=343; Control n=237). No significant differences were observed between groups at pre-test. At post-test, the intervention group scored (9.95±2.00) significantly higher (p=.000) than the control group (8.84±2.37) on a 13-point scale. These findings suggest the FoodMASTER intermediate curriculum is more effective than a standard science curriculum in increasing students’ multidisciplinary science knowledge related to food. PMID:25152539

  13. Strategies to Increase Representation of Students with Disabilities in Science, Technology, Engineering and Mathematics (STEM)

    ERIC Educational Resources Information Center

    White, Jeffry L.; Massiha, G. H.

    2015-01-01

    As a nation wrestles with the need to train more professionals, persons with disabilities are undereducated and underrepresented in science, technology, engineering, and mathematics (STEM). The following project was proposed to increase representation of students with disabilities in the STEM disciplines. The program emphasizes an integrated…

  14. Increasing Student Learning in Mathematics with the Use of Collaborative Teaching Strategies

    ERIC Educational Resources Information Center

    Di Fatta, Jenna; Garcia, Sarah; Gorman, Stephanie

    2009-01-01

    Three teacher researchers conducted this action research project to increase their 54 high school students' achievements in mathematics. The teacher researchers had noticed a trend of low scores on teacher-made chapter tests and non-completion of daily homework. Standardized tests showed that most students scored below average on the mathematics…

  15. Increasing Student Motivation through Cooperative Learning, Writing in Mathematics, and Multiple Intelligences.

    ERIC Educational Resources Information Center

    Klein, Connie; Pflederer, Barb; Truckenmiller, Mary Ann

    This report describes a program for increasing class achievement by raising the motivational level of adolescents. The targeted population consisted of high school mathematics students from a metropolitan area located in central Illinois. The problem of low motivation level found in the targeted students was documented by student surveys. Evidence…

  16. Multilingualism in an EFL Practicum: Increasing Student Teachers' Pedagogical Knowledge

    ERIC Educational Resources Information Center

    Olivero, María Matilde

    2015-01-01

    Research in second language teacher education has demonstrated that novice teachers have difficulty in using their pedagogical knowledge, which partly results from a heavy focus on theory offered in teacher training programs (e.g., Bartels, 2005, 2009; Tarone & Allwright, 2005). In order to better equip student teachers with the knowledge…

  17. Increasing the Knowledge of Stratification in Shallow Coastal Environments

    NASA Astrophysics Data System (ADS)

    Ojo, T.; Bonner, J.; Hodges, B.; Maidment, D.; Montagna, P.; Minsker, B.

    2006-12-01

    developed for the bay and results indicate that water mass is conserved through a strong vortex spawning from the ~ 20 m deep ship channel that runs east-west along the northernmost portion of the bay. HF radar "observations" however does not indicate this vortical structure suggesting that water conservation is maintained through vertical eddies, captured by 3D current measurements using Acoustic Doppler profilers. This is an example of where advanced sensors indicate needs for more advanced modeling, leading us toward the development of 3D hydrodynamic model for the bay. The geomorphology of the bay (shallow with respect to the deep ship channel) poses a challenge in this model development. Knowledge of stratification in this system of bays has been increased through this study. Measurements taken using the instrument suite deployed by our research facility was coupled with (observed and predicted) hydrodynamic and meteorological data, providing new insight into stratification in Corpus Christi Bay. The bay was observed as cycling through quiescent and well-mixed periods under strong wind influence with the onset of hypoxia during the summer months (June through August). Quiescent periods, when combined with tidal cycling and inland horizontal gradient propagation (from adjoining water bodies as described) lead to conditions favorable to stratification.

  18. Increasing levels of assistance in refinement of knowledge-based retrieval systems

    NASA Technical Reports Server (NTRS)

    Baudin, Catherine; Kedar, Smadar; Pell, Barney

    1994-01-01

    The task of incrementally acquiring and refining the knowledge and algorithms of a knowledge-based system in order to improve its performance over time is discussed. In particular, the design of DE-KART, a tool whose goal is to provide increasing levels of assistance in acquiring and refining indexing and retrieval knowledge for a knowledge-based retrieval system, is presented. DE-KART starts with knowledge that was entered manually, and increases its level of assistance in acquiring and refining that knowledge, both in terms of the increased level of automation in interacting with users, and in terms of the increased generality of the knowledge. DE-KART is at the intersection of machine learning and knowledge acquisition: it is a first step towards a system which moves along a continuum from interactive knowledge acquisition to increasingly automated machine learning as it acquires more knowledge and experience.

  19. Connecting Changes in Secondary Mathematics Teachers' Knowledge to Their Experiences in a Professional Development Workshop

    ERIC Educational Resources Information Center

    Boston, Melissa D.

    2013-01-01

    This investigation describes secondary mathematics teachers' learning and instructional change following their participation in a professional development workshop, the Enhancing Secondary Mathematics Teacher Preparation Project (ESP) (2004-2005), specifically focused on the selection and implementation of cognitively challenging mathematical…

  20. Discrete mathematics in deaf education: a survey of teachers' knowledge and use.

    PubMed

    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.

  1. A Case Study of Four Latina/o Pre-Service Teachers in Learning to Teach Mathematics for Understanding and Integrate a Child's Out-of-School Mathematical Knowledge and Experiences

    ERIC Educational Resources Information Center

    Kalinec-Craig, Crystal

    2012-01-01

    This dissertation study examines the experiences of four Latina/o pre-service teachers (PSTs) as they learn about teaching mathematics for understanding (TM4U) and integrating a child's out-of-school mathematical knowledge and experiences during instruction. Studying the knowledge and experiences of Latina/o PSTs is necessary because PSTs…

  2. Secondary Mathematics Teachers' Beliefs, Attitudes, Knowledge Base, and Practices in Meeting the Needs of English Language Learners

    ERIC Educational Resources Information Center

    Gann, Linda

    2013-01-01

    The research centered on secondary mathematics teachers' beliefs, attitudes, knowledge base, and practices in meeting the academic and language needs of English language learners. Using socio-cultural theory and social practice theory to frame the study, the research design employed a mixed methods approach incorporating self-reported…

  3. Knowledge and Motivation as Mediators in Mathematics Teaching Practice: The Case of Drawn Models for Fraction Arithmetic

    ERIC Educational Resources Information Center

    Jacobson, Erik; Izsák, Andrew

    2015-01-01

    Past studies have suggested that in light of recent curriculum standards, many US teachers make limited use of drawn models in their mathematics instruction. To gain insight into this phenomenon, we investigated relationships between US teachers' opportunities to learn about, knowledge of, motivation for, and instructional use of drawn models for…

  4. Mathematics Teachers' Development, Exploration, and Advancement of Technological Pedagogical Content Knowledge in the Teaching and Learning of Algebra

    ERIC Educational Resources Information Center

    Richardson, Sandra

    2009-01-01

    This article describes experiences from a professional development project designed to prepare in-service eighth-grade mathematics teachers to develop, explore, and advance technological pedagogical content knowledge (TPCK) in the teaching and learning of Algebra I. This article describes the process of the participating teachers' mathematical…

  5. Developing Pre-Service Teachers' Technological Pedagogical Content Knowledge for Teaching Mathematics with the Geometer's Sketchpad through Lesson Study

    ERIC Educational Resources Information Center

    Meng, Chew Cheng; Sam, Lim Chap

    2013-01-01

    The purpose of this study was to develop pre-service secondary teachers' technological pedagogical content knowledge (TPACK) for teaching mathematics with The Geometer's Sketchpad (GSP) through Lesson Study (LS). Specifically, a single-group pretest-posttest design was employed to examine whether there was a significant difference in the…

  6. Knowledge Expectations in Mathematics Teacher Preparation Programs in South Korea and the United States: Towards International Dialogue

    ERIC Educational Resources Information Center

    Kim, Rae Young; Ham, Seung-Hwan; Paine, Lynn W.

    2011-01-01

    As a comparative analysis of teacher preparation in its sociohistorical contexts, this study examines the official educational aims and curricula of 49 mathematics teacher preparation programs in South Korea and the United States, where substantial differences have been observed in both student achievement and teacher knowledge. Overall, the…

  7. Authoritative Knowledge in Initial Teacher Education: Studying the Role of Subject Textbooks through Two Ethnographic Studies of Mathematics Teacher Education

    ERIC Educational Resources Information Center

    Beach, Dennis; Player-Koro, Catarina

    2012-01-01

    Two related ethnographic research projects on mathematics teacher education in Sweden are presented in this paper. They represent a response to recent policy developments that reaffirm the value of authoritative subject studies content as the central and most important component in the professional knowledge base of would-be teachers and…

  8. "Prime Online": Developing Grades 3-5 Teachers' Content Knowledge for Teaching Mathematics in an Online Professional Development Program

    ERIC Educational Resources Information Center

    Pape, Stephen J.; Prosser, Sherri K.; Griffin, Cynthia C.; Dana, Nancy Fichtman; Algina, James; Bae, Jungah

    2015-01-01

    This study sought to identify components of an asynchronous online teacher professional development program, "Prime Online," that potentially affected participants' mathematical knowledge for teaching (MKT). Twenty-three third- through fifth-grade general education and special education teachers completed a yearlong online teacher…

  9. Mathematics Teachers' Enactment of Cognitively Demanding Tasks: Investigating Links to Teachers' Knowledge and Conceptions

    ERIC Educational Resources Information Center

    Wilhelm, Anne Garrison

    2014-01-01

    This study sought to understand how aspects of middle school mathematics teachers' knowledge and conceptions are related to their enactment of cognitively demanding tasks. I defined the enactment of cognitively demanding tasks to involve task selection and maintenance of the cognitive demand of high-level tasks and examined those two…

  10. Examining Teachers' Enactment of Technological Pedagogical and Content Knowledge (TPACK) in Their Mathematics Teaching after Technology Integration Professional Development

    ERIC Educational Resources Information Center

    Polly, Drew

    2011-01-01

    Technological pedagogical and content knowledge (TPACK) has been advanced as a construct to describe teachers' understandings related to effectively teaching with technology. This study examined the development of TPACK of two teachers during their mathematics teaching after participating in a learner-centered professional development (LCPD)…

  11. Analysis of Pedagogical Content Knowledge Studies in the Context of Mathematics Education in Turkey: A Meta-Synthesis Study

    ERIC Educational Resources Information Center

    Simsek, Nurullah; Boz, Nihat

    2016-01-01

    Studies that explore pedagogical content knowledge (PCK) in the field of mathematics education date back to the turn of the century in Turkey. In recent years, studies on PCK have gained momentum. Master's theses and doctoral dissertations have been written on PCK. In this context, there is a need to analyze the studies on PCK in Turkey to…

  12. The Influence of the Pedagogical Content Knowledge Framework on Research in Mathematics Education: A Review across Grade Bands

    ERIC Educational Resources Information Center

    Matthews, Mary Elizabeth

    2013-01-01

    This literature review examines the models, theories, and research in mathematics education that are informed by Lee S. Shulman's construct, Pedagogical Content Knowledge. The application of the concept differs in nature and volume across levels of schooling. The research includes substantial work at the elementary level, fewer studies at the…

  13. Developing Mathematical Knowledge for Teaching Teachers: A Model for the Professional Development of Teacher Educators

    ERIC Educational Resources Information Center

    Superfine, Alison Castro; Li, Wenjuan

    2014-01-01

    What is needed to prepare teachers to effectively teach mathematics has been the subject of considerable debate for at least two decades, with the focus shifting back and forth between the number of mathematics courses that teachers need to the mathematics content that teachers need to know. Building upon previous work related to teacher…

  14. Discrete Mathematics in Deaf Education: A Survey of Teachers' Knowledge and Use

    ERIC Educational Resources Information Center

    Pagliaro, C.; Kritzer, K. L.

    2005-01-01

    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…

  15. An Investigation of Prospective Secondary Mathematics Teachers' Conceptual Knowledge of and Attitudes Towards Statistics

    ERIC Educational Resources Information Center

    Hannigan, Ailish; Gill, Olivia; Leavy, Aisling M.

    2013-01-01

    The development of statistical literacy is fast becoming the focus of a large part of mathematics instruction at primary, secondary and tertiary levels. This broadening of the mathematics curriculum to encompass a focus on statistics makes considerable demands on teachers. Most mathematics teachers acknowledge the practical importance of…

  16. Exploring the Impact of a Standards-Based Mathematics and Pedagogy Class on Preservice Teachers' Beliefs and Subject Matter Knowledge

    ERIC Educational Resources Information Center

    Stohlmann, Micah Stephen

    2012-01-01

    This case study explored the impact of a standards-based mathematics and pedagogy class on preservice elementary teachers' beliefs and conceptual subject matter knowledge of linear functions. The framework for the standards-based mathematics and pedagogy class in this study involved the National Council of Teachers of Mathematics Standards,…

  17. Not a One-Way Street: Bidirectional Relations between Procedural and Conceptual Knowledge of Mathematics

    ERIC Educational Resources Information Center

    Rittle-Johnson, Bethany; Schneider, Michael; Star, Jon R.

    2015-01-01

    There is a long-standing and ongoing debate about the relations between conceptual and procedural knowledge (i.e., knowledge of concepts and procedures). Although there is broad consensus that conceptual knowledge supports procedural knowledge, there is controversy over whether procedural knowledge supports conceptual knowledge and how instruction…

  18. Preservice Elementary Teachers' Perspectives about the Roles of Conceptual Understanding and Factual/Procedural Knowledge in Learning and Teaching Mathematics and Science

    ERIC Educational Resources Information Center

    Fuentes, Sarah Quebec; Bloom, Mark; Peace, Heather

    2014-01-01

    Preservice teachers often enter teacher education programs with naïve views about mathematics and science as well as the various domains of knowledge needed for effective teaching. A significant body of research has demonstrated that teacher knowledge is multifaceted and consists of both subject matter knowledge and pedagogical content knowledge.…

  19. Limited Knowledge of Fraction Representations Differentiates Middle School Students with Mathematics Learning Disability (Dyscalculia) versus Low Mathematics Achievement

    ERIC Educational Resources Information Center

    Mazzocco, Michele M. M.; Myers, Gwen F.; Lewis, Katherine E.; Hanich, Laurie B.; Murphy, Melissa M.

    2013-01-01

    Fractions pose significant challenges for many children, but for some children those challenges persist into high school. Here we administered a fractions magnitude comparison test to 122 children, from Grades 4 to 8, to test whether their knowledge of fractions typically learned early in the sequence of formal math instruction (e.g., fractions…

  20. Mathematics Achievement Gaps between Suburban Students and Their Rural and Urban Peers Increase over Time. Issue Brief No. 52

    ERIC Educational Resources Information Center

    Graham, Suzanne E.; Provost, Lauren E.

    2012-01-01

    In this brief, authors Suzanne Graham and Lauren Provost examine whether attending a school in a rural, urban, or suburban community is related to children's mathematics achievement in kindergarten, and whether increases in mathematics achievement between kindergarten and eighth grade differ for children in rural, urban, and suburban schools. They…

  1. A survey on the effectiveness of using GeoGebra software towards lecturers' conceptual knowledge and procedural mathematics

    NASA Astrophysics Data System (ADS)

    Wan Salleh, Masturah; Sulaiman, Hajar

    2013-04-01

    The use of technology in the teaching of mathematics at the university level has long been introduced; but many among the lecturers, especially those that have taught for many years, still opt for a traditional teaching method, that is, by lecture talk. One reason is that lecturers themselves were not exposed to the technologies available and how it can assist in the teaching and learning procedures (T&L) in mathematics. GeoGebra is a mathematical software which is open and free and has just recently been introduced in Malaysia. Compared with the software Cabri Geometry and Geometer's Sketchpad (GSP), which only focus on geometry, GeoGebra is able to connect geometry, algebra and numerical representation. Realizing this, the researchers have conducted a study to expose the university lecturers on the use of GeoGebra in T&L. The researchers chose to do the research on mathematics lecturers at the Department of Computer Science and Mathematics (JSKM), Universiti Teknologi Mara (UiTM), Penang. The objective of this study is to determine whether an exposure to GeoGebra software can affect the conceptual knowledge and procedural teaching of mathematics at the university level. This study is a combination of descriptive and qualitative. One session was conducted in an open workshop for all the 45 lecturers. From that total, four people were selected as a sample. The sample was selected by using a simple random sampling method. This study used materials in the form of modules during the workshop. In terms of conceptual knowledge, the results showed that the GeoGebra software is appropriate, relevant and highly effective for in-depth understanding of the selected topics. While the procedural aspects of teaching, it can be one of the teaching aids and considerably facilitate the lecturers.

  2. Truth and the Renewal of Knowledge: The Case of Mathematics Education

    ERIC Educational Resources Information Center

    Brown, Tony

    2010-01-01

    Mathematics education research must enable adjustment to new conditions. Yet such research is often conducted within familiar conceptualisations of teaching, of learning and of mathematics. It may be necessary to express ourselves in new ways if we are to change our practices successfully, and potential changes can be understood in many…

  3. How Important Is Where You Start? Early Mathematics Knowledge and Later School Success

    ERIC Educational Resources Information Center

    Claessens, Amy; Engel, Mimi

    2013-01-01

    Background: Children's early skills are essential for their later success in school. Recent evidence highlights the importance of early mathematics, relative to reading and socioemotional skills, for elementary school achievement. Key advocacy groups for both early childhood and mathematics education have issued position statements on the…

  4. Bilingual Students Articulation and Gesticulation of Mathematical Knowledge during Problem Solving

    ERIC Educational Resources Information Center

    Dominguez, Higinio

    2005-01-01

    This research focuses on eliciting bilingual students' problem-solving reasoning by providing mathematical tasks designed to involve the students in the action described in the problem by making connections to contexts familiar to them. Results showed these tasks allowed children to articulate their mathematical reasoning through gestures and…

  5. Mathematical Representations and Pedagogical Content Knowledge: An Investigation of Prospective Teachers' Development.

    ERIC Educational Resources Information Center

    Ward, Robin A.; Anhalt, Cynthia O.; Vinson, Kevin D.

    A study was carried out involving K-8 teacher candidates enrolled in an elementary mathematics methods course to investigate and document their thinking as they plan for mathematics instruction. The teacher candidates submitted lesson plans at three intervals during a semester-long methods course, which were coded based on the planned use(s) of…

  6. Prediction Assessments: Using Video-Based Predictions to Assess Prospective Teachers' Knowledge of Students' Mathematical Thinking

    ERIC Educational Resources Information Center

    Norton, Anderson; McCloskey, Andrea; Hudson, Rick A.

    2011-01-01

    In order to evaluate the effectiveness of an experimental elementary mathematics field experience course, we have designed a new assessment instrument. These video-based prediction assessments engage prospective teachers in a video analysis of a child solving mathematical tasks. The prospective teachers build a model of that child's mathematics…

  7. Infusing Math Manipulatives: The Key to an Increase in Academic Achievement in the Mathematics Classroom. Final Research Proposal

    ERIC Educational Resources Information Center

    Battle, Toni S.

    2007-01-01

    Manipulatives are the way to our future and the way to new knowledge. No matter where we turn or what we do, we as a society are using some form of manipulative in our lives. Mathematics is changing all of the time from basic arithmetic to basic calculus. Therefore, children in today's classroom deserve to have that extra tool to help them grasp…

  8. Strategies for Success: Links to Increased Mathematics Achievement Scores of English-Language Learners

    ERIC Educational Resources Information Center

    Pray, Lisa; Ilieva, Vessela

    2011-01-01

    This research investigates the link between mathematic teachers' use of English-language learner (ELL) strategies and the mathematics achievement of their students who are ELLs. Interviews and observations of mathematic teachers who taught ELLs were used to document instructional strategies use. The findings from the interviews and observations…

  9. Mathematics, Anyone?

    ERIC Educational Resources Information Center

    Reys, Robert; Reys, Rustin

    2011-01-01

    In their dual roles as mathematics teachers and tennis coaches, the authors have worked with tennis players who have never thought about how a knowledge of mathematics might help them become "better" tennis players. They have also worked with many mathematics students who have never considered how much mathematics is associated with tennis. This…

  10. Developing Effective Brochures for Increasing Knowledge of Environmental Problems: The Case of the Gypsy Moth.

    ERIC Educational Resources Information Center

    Young, Charlotte F.; Witter, John A.

    1994-01-01

    This study evaluated the effectiveness of educational brochures in increasing participants' knowledge about the environmental problem of gypsy moth infestations and associated action strategies. Results suggest that brochures rated high in communication effectiveness were most useful in increasing knowledge. (Contains 28 references.) (Author/MDH)

  11. Epistemological Beliefs of Prospective Preschool Teachers and Their Relation to Knowledge, Perception, and Planning Abilities in the Field of Mathematics: A Process Model

    ERIC Educational Resources Information Center

    Dunekacke, Simone; Jenßen, Lars; Eilerts, Katja; Blömeke, Sigrid

    2016-01-01

    Teacher competence is a multi-dimensional construct that includes beliefs as well as knowledge. The present study investigated the structure of prospective preschool teachers' mathematics-related beliefs and their relation to content knowledge and pedagogical content knowledge. In addition, prospective preschool teachers' perception and planning…

  12. Teachers' Mathematical Knowledge, Cognitive Activation in the Classroom, and Student Progress

    ERIC Educational Resources Information Center

    Baumert, Jurgen; Kunter, Mareike; Blum, Werner; Brunner, Martin; Voss, Thamar; Jordan, Alexander; Klusmann, Uta; Krauss, Stefan; Neubrand, Michael; Tsai, Yi-Miau

    2010-01-01

    In both the United States and Europe, concerns have been raised about whether preservice and in-service training succeeds in equipping teachers with the professional knowledge they need to deliver consistently high-quality instruction. This article investigates the significance of teachers' content knowledge and pedagogical content knowledge for…

  13. Teachers' Professional Knowledge and Noticing: The Case of Multiple Representations in the Mathematics Classroom

    ERIC Educational Resources Information Center

    Dreher, Anika; Kuntze, Sebastian

    2015-01-01

    Teachers notice through the lens of their professional knowledge and views. This study hence focuses not solely on teachers' noticing, but also on their knowledge and views, which allows insight into how noticing is informed and shaped by professional knowledge. As a discipline-specific perspective for noticing we chose dealing with multiple…

  14. "Everything Is Math in the Whole World": Integrating Critical and Community Knowledge in Authentic Mathematical Investigations with Elementary Latina/o Students

    ERIC Educational Resources Information Center

    Turner, Erin E.; Gutierrez, Maura Varley; Simic-Muller, Ksenija; Diez-Palomar, Javier

    2009-01-01

    This critical ethnographic study of an after-school mathematics club for elementary-aged Latina/o youth focuses on connecting critical, community, and mathematical knowledge in the context of authentic, community-based investigations. We present cases of two extended projects to highlight tensions and dilemmas that emerged, particularly tensions…

  15. Effects of Mathematics Content Knowledge on Pre-School Teachers' Performance: A Video-Based Assessment of Perception and Planning Abilities in Informal Learning Situations

    ERIC Educational Resources Information Center

    Dunekacke, Simone; Jenßen, Lars; Blömeke, Sigrid

    2015-01-01

    This study addresses the relation of pre-school teachers' mathematics content knowledge and their performance--how they perceive mathematical learning situations and whether they are able to plan adequate actions that foster children's learning--in the informal settings of pre-schools. It thus addresses a serious gap in teacher research that has…

  16. Deepening Pre-Service Teachers' Knowledge of Technology, Pedagogy, and Content (TPACK) in an Elementary School Mathematics Methods Course

    ERIC Educational Resources Information Center

    Polly, Drew

    2014-01-01

    This paper presents the findings of a study that examined pre-service teachers' development of knowledge about technology, pedagogy and content (TPACK) during a mathematics pedagogy course focused on elementary school mathematics in the United States. Data sources included work samples from pre-service teachers as well as an open-ended survey…

  17. A Collective Case Study of the Influence of Teachers' Beliefs and Knowledge on Error-Handling Practices during Class Discussion of Mathematics

    ERIC Educational Resources Information Center

    Bray, Wendy S.

    2011-01-01

    This collective case study examines the influence of 4 third-grade teachers' beliefs and knowledge on their error-handling practices during class discussion of mathematics. Study findings suggest that, although teachers' ways of handling student errors during class discussion of mathematics are clearly linked to both teacher beliefs and teacher…

  18. Measuring Technological and Content Knowledge of Undergraduate Primary Teachers in Mathematics

    NASA Astrophysics Data System (ADS)

    Doukakis, Spyros; Chionidou-Moskofoglou, Maria; Mangina-Phelan, Eleni; Roussos, Petros

    Twenty-five final-year undergraduate students of primary education who were attending a course on mathematics education participated in a research project during the 2009 spring semester. A repeated measures experimental design was used. Quantitative data on students' computer attitudes, self-efficacy in ICT, attitudes toward educational software, and self-efficacy in maths were collected. Data analysis showed a statistically non-significant improvement on participants' computer attitudes and self-efficacy in ICT and ES, but a significant improvement of self-efficacy in mathematics.

  19. An analysis of the changes in ability and knowledge of students taking A-level physics and mathematics over a 35 year period

    NASA Astrophysics Data System (ADS)

    Barham, Peter J.

    2012-03-01

    New undergraduate students arriving to study physics at the University of Bristol from 1975 onwards have all taken the same test of their knowledge and understanding of physics and mathematics. Many of the questions test knowledge of material that has been in the A-level syllabus for maths or physics throughout this period. The ability of incoming students to answer these questions declined significantly in the 1990s with average scores falling from around 75% up to 1990 to below 50% after 2000 against a background of increasing A-level grades of the entrants to the programme. It is suggested that changes in teaching and examination methods have caused students to be less able to carry out multi-stage calculations and that the introduction of modular examinations may have encouraged a culture where students tend to forget material learnt in previous modules.

  20. Using Education, Exposure, and Environments to Increase Preschool Children's Knowledge about Fruit and Vegetables

    ERIC Educational Resources Information Center

    Niemeier, Brandi S.; Tande, Desiree L.; Hwang, Joyce; Stastny, Sherri; Hektner, Joel M.

    2010-01-01

    Because children's eating habits predict their adult eating habits, educating children about healthy foods is essential (U.S. Department of Health and Human Services, 2000). A Midwest Extension Service created and delivered an educational experience for preschool children to increase knowledge of fruits and vegetables. The knowledge assessment…

  1. Increasing Knowledge about Obsessive Compulsive Disorder and Support for Parents and Schools: Evaluation of Initiatives

    ERIC Educational Resources Information Center

    Jassi, Amita D.; Kolvenbach, Sarah; Heyman, Isobel; Macleod, Trish; Rose, Joel; Diamond, Holly

    2016-01-01

    Objective: Obsessive compulsive disorder (OCD) in children can be difficult to detect. Schools and families need to be made aware of the signs and symptoms of OCD in order to facilitate access to treatment. Parents of children with OCD may require support as well as knowledge. This study evaluated two initiatives aimed at increasing knowledge and…

  2. Ethnic Differences in Knowledge and Attitudes about BRCA1 Testing in Women at Increased Risk.

    ERIC Educational Resources Information Center

    Hughes, Chanita; Gomez-Caminero, Andres; Benkendorf, Judith; Kerner, Jon; Isaacs, Claudine; Barter, James; Lerman, Caryn

    1997-01-01

    Knowledge about the inheritance of breast cancer and attitudes about genetic testing for breast-ovarian cancer susceptibility in women at increased risk were studied in Caucasian and African-American women (N=407). Participants had at least one first-degree relative with cancer. Differences in knowledge and attitudes toward risk may be attributed…

  3. Assessing awareness, interest, and knowledge of fractal geometry among secondary mathematics teachers in the United States and China

    NASA Astrophysics Data System (ADS)

    Chen, Suanrong

    Fractal geometry has gained great attention from mathematicians and scientists in the past three decades (Fraboni & Moller, 2008). As a new geometry language and subject, fractal geometry has significant value in teaching and learning secondary mathematics. The present study focused on investigating the current state of mathematics teachers' awareness, interest, and knowledge of fractal geometry in the United States (U.S.) and China, as well as the factors that influence them. The instrument of the study included a survey and a test designed by the researcher and validated by five experts. The results of the study indicated that secondary math teachers in the U.S. and China had very low levels of awareness of fractals and lack the knowledge and skills of solving fractal problems, but they had a higher level of interest in fractals related to classroom teaching and professional development as compared with their levels of awareness. Furthermore, the results of this study indicated that the factor 'experience of learning fractals' had the most positive effect on the average score of awareness. The factor nationality (U.S.) had the most positive effect on the average score of interest. The factor nationality (U.S.) had the most negative effect on the average score of knowledge.

  4. Enriching Practical Knowledge: Exploring Student Teachers' Competence in Integrating Theory and Practice of Mathematics Teaching

    ERIC Educational Resources Information Center

    Oonk, Wil; Verloop, Nico; Gravemeijer, Koeno P. E.

    2015-01-01

    This study concentrated on the theory-practice problem in mathematics teacher education. We examined 13 student teachers' use of theory when they reflected on teaching practice in a class specifically designed to optimize the chance for theory use. We developed a Reflection Analysis Instrument with which the student teachers' use of theory could…

  5. Flexible Conceptions of Perspectives and Representations: An Examination of Pre-Service Mathematics Teachers' Knowledge

    ERIC Educational Resources Information Center

    Bannister, Vanessa R. Pitts

    2014-01-01

    The concept of multiple representations of functions and the ability to make translations among representations are important topics in secondary school mathematics curricula (Moschkovich, Schoenfeld, & Arcavi, 1993; NCTM, 2000). Research related to students in this domain is fruitful, while research related to teachers is underdeveloped. This…

  6. Finding the Maths: Helping Students Connect Their Mathematical Knowledge to Other Contexts

    ERIC Educational Resources Information Center

    Hurst, Chris

    2007-01-01

    The plethora of data that confronts teachers on a daily basis requires that they know more than simply being able to calculate. It demands that they understand the context in which the mathematical ideas are embedded and what those ideas are telling them in relation to that context. Also, it necessitates that they are prepared to question how…

  7. Mathematics Growth in Early Elementary School: The Roles of Beginning Knowledge, Student Engagement, and Instruction

    ERIC Educational Resources Information Center

    Bodovski, Katerina; Farkas, George

    2007-01-01

    We used the Early Childhood Longitudinal Study--Kindergarten Cohort (ECLS-K) data to examine how important mathematics readiness levels are to subsequent achievement growth and the efficacy of instruction and engagement in producing such growth. The ECLS-K selected a nationally representative sample of kindergartners in fall 1998 and is following…

  8. Changing Pre-Service Elementary Teachers' Beliefs about Mathematical Knowledge

    ERIC Educational Resources Information Center

    Stohlmann, Micah; Moore, Tamara; Cramer, Kathleen; Maiorca, Cathrine

    2015-01-01

    Studies have reported that pre-service teachers often enter teacher preparation programs with beliefs and attitudes not conducive to teaching the subject conceptually. In the USA, the Common Core State Standards for Mathematics have brought a renewed focus on procedural and conceptual understanding. However, many U.S. pre-service teachers have…

  9. Using Videotapes to Study the Construction of Mathematical Knowledge by Individual Children Working in Groups.

    ERIC Educational Resources Information Center

    Davis, Robert B.; And Others

    1992-01-01

    Describes research project utilizing video cameras to record behavior while students worked on a combinatorics task in second grade and five months later when they were in third grade. Results describe student development of new mathematical ideas over an extended period of time. Authors argue that videotaping can play an important role in making…

  10. iPad Apps That Promote Mathematical Knowledge? "Yes, They Exist!"

    ERIC Educational Resources Information Center

    Larkin, Kevin

    2014-01-01

    Having trouble finding the right app? In this article, Kevin Larkin discusses the difficulties teachers encounter when searching the App Store for high quality, appropriate apps that support students' mathematical learning. Kevin provides a useful link to a collection of over 100 app reviews.

  11. Bridging Mathematical Knowledge from Different Cultures: Proposals for an Intercultural and Interdisciplinary Curriculum

    ERIC Educational Resources Information Center

    Favilli, Franco; Oliveras, M. Luisa; Cesar, Margarida

    2003-01-01

    Teaching mathematics in a multicultural scholastic context is a current research theme in countries where the phenomenon of immigration is becoming important. There is a project being carried out in some southern European countries which aims to identify the needs of maths teachers in the lower secondary schools. The theoretical framework of the…

  12. Developing Mathematics Knowledge Keepers--Issues at the Intersection of Communities of Practice

    ERIC Educational Resources Information Center

    Siemon, Dianne E.

    2009-01-01

    This paper discusses some issues that arose in the context of a three-year research project on Indigenous mathematics teacher education in the Northern Territory of Australia. The project was based on the premise that Indigenous student numeracy outcomes are more likely to be improved where students can work on key number ideas and strategies in…

  13. Conceptual Visibility and Virtual Dynamics in Technology-Scaffolded Learning Environments for Conceptual Knowledge of Mathematics

    ERIC Educational Resources Information Center

    McLeod, Julie; Vasinda, Sheri; Dondlinger, Mary Jo

    2012-01-01

    This article adds to the growing body of research surrounding the use of virtual manipulatives for mathematics learning. The study reported herein used five different virtual manipulatives from four different websites, all within a sixth grade unit on proportional thinking. While many studies have reported on student achievement when using virtual…

  14. Higher Education in Sint Maarten: Fostering Growth of Teacher Knowledge in Mathematics and Science

    ERIC Educational Resources Information Center

    Sargeant, Marcel A.; Burton, Larry D.; Bailey, Andel

    2010-01-01

    A needs analysis conducted as part of the foundation-based education (FBE) innovation on the island territory of Sint Maarten indicated the need for additional training of early primary teachers (PK-2) in mathematics and science education. Seven in-service workshops, designed around the Joyce-Showers' Training Model, were implemented over the…

  15. Construction and Modification of the Autonomy of School Mathematical Knowledge in Portugal

    ERIC Educational Resources Information Center

    Matos, José Manuel

    2016-01-01

    During the second half of the nineteenth century and early twentieth century the discipline of secondary mathematics was gradually built in Portugal and certified teachers, textbooks, programs, special teaching techniques emerge. This consolidation process ends with the emergency of school subjects that develop some kind of autonomy as Chervel…

  16. Knowledge of Mathematical Equivalence in Children with Specific Language Impairment: Insights from Gesture and Speech

    ERIC Educational Resources Information Center

    Mainela-Arnold, Elina; Alibali, Martha W.; Ryan, Kristin; Evans, Julia L.

    2011-01-01

    Purpose: This study investigated understanding of mathematical equivalence in children with and without specific language impairment (SLI). Method: A total of 34 children (ages 8;1 [years;months] to 11;7), including 9 with expressive SLI (E-SLI), 8 with expressive and receptive SLI (ER-SLI), and 17 age-matched typically developing (TD) children…

  17. The Incoming Statistical Knowledge of Undergraduate Majors in a Department of Mathematics and Statistics

    ERIC Educational Resources Information Center

    Cook, Samuel A.; Fukawa-Connelly, Timothy

    2016-01-01

    Studies have shown that at the end of an introductory statistics course, students struggle with building block concepts, such as mean and standard deviation, and rely on procedural understandings of the concepts. This study aims to investigate the understandings entering freshman of a department of mathematics and statistics (including mathematics…

  18. Using Online Error Analysis Items to Support Preservice Teachers' Pedagogical Content Knowledge in Mathematics

    ERIC Educational Resources Information Center

    McGuire, Patrick

    2013-01-01

    This article describes how a free, web-based intelligent tutoring system, (ASSISTment), was used to create online error analysis items for preservice elementary and secondary mathematics teachers. The online error analysis items challenged preservice teachers to analyze, diagnose, and provide targeted instructional remediation intended to help…

  19. What Is First-Year Mathematics Students' Actual Knowledge about Improper Integrals?

    ERIC Educational Resources Information Center

    Gonzalez-Martin, Alejandro S.; Camacho, Matias

    2004-01-01

    This paper analyses the answers of a group of first-year university Mathematics students to a questionnaire, with the aim of determining the difficulties they have when carrying out non-routine tasks related to improper integrals. The questionnaire consisted of nine questions including not only calculus tasks and determining the convergence of…

  20. Leadership for School Numeracy: How School Leaders' Knowledge and Attitudes Impact Student Mathematics Achievement

    ERIC Educational Resources Information Center

    Walker-Glenn, Michelle Lynn

    2010-01-01

    Although most high schools espouse school-wide literacy initiatives, few schools place equal emphasis on numeracy, or quantitative literacy. This lack of attention to quantitative skills is ironic in light of documented deficiencies in student mathematics achievement. While significant research exists regarding best practices for mathematics…

  1. The PISA Mathematics Regime: Knowledge Structures and Practices of the Self

    ERIC Educational Resources Information Center

    Kanes, Clive; Morgan, Candia; Tsatsaroni, Anna

    2014-01-01

    Within mathematics education research, the responses to the Programme for International Student Assessment's (PISA's) international testing regime tend to accept its framework and results as necessary points of reference, even when offering a critical reinterpretation or challenging national policy discourses based on PISA. In this…

  2. The Influence of Attention on Mathematical Knowledge of Teachers and Lecturers: A Comparison

    ERIC Educational Resources Information Center

    Klymchuk, Sergiy; Thomas, Michael O. J.

    2011-01-01

    This article reports on some findings from the project "Analysing the Transition from Secondary to Tertiary Education in Mathematics". One of the key variables in the school to university transition is the teacher/lecturer, and here, we deal with the data analysing secondary teachers' and tertiary lecturers' responses to four mathematics…

  3. Increasing Engineering Students' Awareness to Environment through Innovative Teaching of Mathematical Modelling

    ERIC Educational Resources Information Center

    Klymchuk, Sergiy; Zverkova, Tatyana; Gruenwald, Norbert; Sauerbier, Gabriele

    2008-01-01

    This article presents the results of two studies on using an innovative pedagogical strategy in teaching mathematical modelling and applications to engineering students. Both studies are dealing with introducing non-traditional contexts for engineering students in teaching/learning of mathematical modelling and applications: environment and…

  4. Evaluating an Intervention to Increase Cancer Knowledge in Racially Diverse Communities in South Carolina

    PubMed Central

    Ford, Marvella; Wahlquist, Amy E.; Ridgeway, Celina; Streets, June; Mitchum, Katie A.; Harper, Reverend Remus; Hamilton, Ian; Etheredge, Jim; Sweat, Melanie; Varner, Heidi; Campbell, Katora; Garrett-Mayer, Elizabeth

    2014-01-01

    Objective To conduct a cancer education intervention with racially diverse communities in South Carolina. Methods The study was conducted at eight different sites in six counties in SC. The intervention included a 3-hour general cancer knowledge and 30-minute prostate cancer knowledge component. Pre- and post-intervention surveys were administered. Maximum scores were 31, 10 and 5 for the general cancer knowledge, prostate cancer knowledge and perceived self-efficacy in patient-physician interaction instruments, respectively. Analyses were completed using SPSS 16.0, SAS 9.1.3, and R v2.6.1. Results The study sample consisted of 164 predominantly African American participants. Most of the participants who reported age were 50+ years (62.5%). Among those who reported income, 46.1% had an annual household income < $40,000. The mean general cancer knowledge pre-test score was 26.2 (standard deviation (SD) 3.7) with a mean post-intervention increase of 2.15 points (p<0.01). The mean pre-test prostate cancer knowledge score was 7.3 (SD 2.0) with a post-intervention increase of 0.48 points (p<0.01). Perceived self-efficacy in patient-physician interaction scores had a ceiling effect. Conclusions General cancer knowledge and prostate cancer knowledge scores increased following the intervention. Practice Implications The intervention was successful in the short-term. It could be continued by community members. PMID:20674239

  5. Exploring Mathematical Knowledge in Elementary Teacher Candidates with the Use of Classroom-Based Artifacts

    ERIC Educational Resources Information Center

    Gillentine, E. Paige

    2013-01-01

    Researchers have suggested that teachers use a specialized type of knowledge specifically attributed to the work of teaching. One aspect of this specific type of knowledge is the ability to analyze children's work. With continued emphasis on a teacher's ability to analyze their students' thought processes, teacher candidates will need to develop…

  6. Main Road Extraction from ZY-3 Grayscale Imagery Based on Directional Mathematical Morphology and VGI Prior Knowledge in Urban Areas.

    PubMed

    Liu, Bo; Wu, Huayi; Wang, Yandong; Liu, Wenming

    2015-01-01

    Main road features extracted from remotely sensed imagery play an important role in many civilian and military applications, such as updating Geographic Information System (GIS) databases, urban structure analysis, spatial data matching and road navigation. Current methods for road feature extraction from high-resolution imagery are typically based on threshold value segmentation. It is difficult however, to completely separate road features from the background. We present a new method for extracting main roads from high-resolution grayscale imagery based on directional mathematical morphology and prior knowledge obtained from the Volunteered Geographic Information found in the OpenStreetMap. The two salient steps in this strategy are: (1) using directional mathematical morphology to enhance the contrast between roads and non-roads; (2) using OpenStreetMap roads as prior knowledge to segment the remotely sensed imagery. Experiments were conducted on two ZiYuan-3 images and one QuickBird high-resolution grayscale image to compare our proposed method to other commonly used techniques for road feature extraction. The results demonstrated the validity and better performance of the proposed method for urban main road feature extraction. PMID:26397832

  7. Main Road Extraction from ZY-3 Grayscale Imagery Based on Directional Mathematical Morphology and VGI Prior Knowledge in Urban Areas

    PubMed Central

    Liu, Bo; Wu, Huayi; Wang, Yandong; Liu, Wenming

    2015-01-01

    Main road features extracted from remotely sensed imagery play an important role in many civilian and military applications, such as updating Geographic Information System (GIS) databases, urban structure analysis, spatial data matching and road navigation. Current methods for road feature extraction from high-resolution imagery are typically based on threshold value segmentation. It is difficult however, to completely separate road features from the background. We present a new method for extracting main roads from high-resolution grayscale imagery based on directional mathematical morphology and prior knowledge obtained from the Volunteered Geographic Information found in the OpenStreetMap. The two salient steps in this strategy are: (1) using directional mathematical morphology to enhance the contrast between roads and non-roads; (2) using OpenStreetMap roads as prior knowledge to segment the remotely sensed imagery. Experiments were conducted on two ZiYuan-3 images and one QuickBird high-resolution grayscale image to compare our proposed method to other commonly used techniques for road feature extraction. The results demonstrated the validity and better performance of the proposed method for urban main road feature extraction. PMID:26397832

  8. An Analysis of the Changes in Ability and Knowledge of Students Taking A-Level Physics and Mathematics over a 35 Year Period

    ERIC Educational Resources Information Center

    Barham, Peter J.

    2012-01-01

    New undergraduate students arriving to study physics at the University of Bristol from 1975 onwards have all taken the same test of their knowledge and understanding of physics and mathematics. Many of the questions test knowledge of material that has been in the A-level syllabus for maths or physics throughout this period. The ability of incoming…

  9. Measuring Computer Science Knowledge Level of Hungarian Students Specialized in Informatics with Romanian Students Attending a Science Course or a Mathematics-Informatics Course

    ERIC Educational Resources Information Center

    Kiss, Gabor

    2012-01-01

    An analysis of Information Technology knowledge of Hungarian and Romanian students was made with the help of a self developed web based Informatics Test. The goal of this research is an analysis of the Computer Science knowledge level of Hungarian and Romanian students attending a Science course or a Mathematics-Informatics course. Analysed was…

  10. Reducing Sexual Violence by Increasing the Supply of Toilets in Khayelitsha, South Africa: A Mathematical Model

    PubMed Central

    Gonsalves, Gregg S.; Kaplan, Edward H.; Paltiel, A. David

    2015-01-01

    Background Sexual violence is a major public health issue, affecting 35% of women worldwide. Major risk factors for sexual assault include inadequate indoor sanitation and the need to travel to outdoor toilet facilities. We estimated how increasing the number of toilets in an urban township (Khayelitsha, South Africa) might reduce both economic costs and the incidence and social burden of sexual assault. Methods We developed a mathematical model that links risk of sexual assault to the number of sanitation facilities and the time a woman must spend walking to a toilet. We defined a composite societal cost function, comprising both the burden of sexual assault and the costs of installing and maintaining public chemical toilets. By expressing total social costs as a function of the number of available toilets, we were able to identify an optimal (i.e., cost-minimizing) social investment in toilet facilities. Findings There are currently an estimated 5600 toilets in Khayelitsha. This results in 635 sexual assaults and US$40 million in combined social costs each year. Increasing the number of toilets to 11300 would minimize total costs ($35 million) and reduce sexual assaults to 446. Higher toilet installation and maintenance costs would be more than offset by lower sexual assault costs. Probabilistic sensitivity analysis shows that the optimal number of toilets exceeds the original allocation of toilets in the township in over 80% of the 5000 iterations of the model. Interpretation Improving access to sanitation facilities in urban settlements will simultaneously reduce the incidence of sexual assaults and overall cost to society. Since our analysis ignores the many additional health benefits of improving sanitation in resource-constrained urban areas (e.g., potential reductions in waterborne infectious diseases), the optimal number of toilets identified here should be interpreted as conservative. PMID:25923105

  11. A Mixed Methods Study of Teach for America Teachers' Mathematical Beliefs, Knowledge, and Classroom Teaching Practices during a Reform-Based University Mathematics Methods Course

    ERIC Educational Resources Information Center

    Swars, Susan Lee

    2015-01-01

    This mixed methods study examined the mathematical preparation of elementary teachers in a Teach for America (TFA) program, focal participants for whom there is scant extant research. Data collection occurred before and after a university mathematics methods course, with a particular focus on the participants' (n = 22) mathematical beliefs,…

  12. Secondary-Level Student Teachers' Conceptions of Mathematical Proof

    ERIC Educational Resources Information Center

    Varghese, Thomas

    2009-01-01

    Recent reforms in mathematics education have led to an increased emphasis on proof and reasoning in mathematics curricula. The National Council of Teachers of Mathematics highlights the important role that teachers' knowledge and beliefs play in shaping students' understanding of mathematics, their confidence in and outlook on mathematics…

  13. Enhancing Mathematics Teachers' Knowledge of Students' Thinking from Assessing and Analyzing Misconceptions in Homework

    ERIC Educational Resources Information Center

    An, Shuhua; Wu, Zhonghe

    2012-01-01

    This study focuses on teacher learning of student thinking through grading homework, assessing and analyzing misconceptions. The data were collected from 10 teachers at fifth-eighth grade levels in the USA. The results show that assessing and analyzing misconceptions from grading homework is an important approach to acquiring knowledge of…

  14. ICT Use in Science and Mathematics Teacher Education in Tanzania: Developing Technological Pedagogical Content Knowledge

    ERIC Educational Resources Information Center

    Kafyulilo, Ayoub; Fisser, Petra; Pieters, Jules; Voogt, Joke

    2015-01-01

    Currently, teacher education colleges in Tanzania are being equipped with computers to prepare teachers who can integrate technology in teaching. Despite these efforts, teachers are not embracing the use of technology in their teaching. This study adopted Technological Pedagogical Content Knowledge (TPACK) as a framework for describing the…

  15. Learning a Mathematical Concept from Comparing Examples: The Importance of Variation and Prior Knowledge

    ERIC Educational Resources Information Center

    Guo, Jian-peng; Pang, Ming Fai

    2011-01-01

    In experiment 1, novice fourth-grade students (N = 92) who compared multiple examples that separately varied each critical aspect and then simultaneously varied all critical aspects developed better conceptual knowledge about the "altitude of a triangle" than students who compared multiple examples that did not separately vary each critical aspect…

  16. An Alternative Time for Telling: When Conceptual Instruction Prior to Problem Solving Improves Mathematical Knowledge

    ERIC Educational Resources Information Center

    Fyfe, Emily R.; DeCaro, Marci S.; Rittle-Johnson, Bethany

    2014-01-01

    Background: The sequencing of learning materials greatly influences the knowledge that learners construct. Recently, learning theorists have focused on the sequencing of instruction in relation to solving related problems. The general consensus suggests explicit instruction should be provided; however, when to provide instruction remains unclear.…

  17. A Critique Analysis of NCLB, Increase Testing, and Past Maryland Mathematics and Science HSA Exams: What Are Maryland Practitioners' Perspectives?

    ERIC Educational Resources Information Center

    Pinder, Patrice Juliet

    2008-01-01

    States are establishing high stakes assessments to serve as a measurement tool of students' academic abilities. This study essentially explored and sought to understand some of Maryland's mathematics and science practitioners' perspectives on increase testing, and the No Child left Behind (NCLB) Act. Basically, the study sought to understand and…

  18. A Comparison of Secondary Principals' Use of Data Systems to Increase Student Achievement in Mathematics as Measured by Standardized Assessments

    ERIC Educational Resources Information Center

    Williams, Joshua

    2011-01-01

    The pressure to meet the demands of "No Child Left Behind" (NCLB) Act coupled with poor results by secondary students on national assessments in mathematics have forced school principals to develop skill sets in the use of data in efforts to increase student performance on standardized assessments. The effective use of data by school principals…

  19. Increasing Explicit Sequence Knowledge by Odor Cueing during Sleep in Men but not Women

    PubMed Central

    Diekelmann, Susanne; Born, Jan; Rasch, Björn

    2016-01-01

    Sleep consolidates newly acquired memories. Beyond stabilizing memories, sleep is thought to reorganize memory representations such that invariant structures, statistical regularities and even new explicit knowledge are extracted. Whereas increasing evidence suggests that the stabilization of memories during sleep can be facilitated by cueing with learning-associated stimuli, the effect of cueing on memory reorganization is less well understood. Here we asked whether olfactory cueing during sleep enhances the generation of explicit knowledge about an implicitly learned procedural memory task. Subjects were trained on a serial reaction time task (SRTT) containing a hidden 12-element sequence in the presence of an odor. During subsequent sleep, half of the subjects were re-exposed to the odor during periods of slow wave sleep (SWS), while the other half received odorless vehicle. In the next morning, subjects were tested on their explicit knowledge about the underlying sequence in a free recall test and a generation task. Although odor cueing did not significantly affect overall explicit knowledge, differential effects were evident when analyzing male and female subjects separately. Explicit sequence knowledge, both in free recall and the generation task, was enhanced by odor cueing in men, whereas women showed no cueing effect. Procedural skill in the SRTT was not affected by cueing, neither in men nor in women. These findings suggest that olfactory memory reactivation can increase explicit knowledge about implicitly learned information, but only in men. Hormonal differences due to menstrual cycle phase and/or hormonal contraceptives might explain the lacking effect in women. PMID:27147995

  20. A Staff Development Program to Increase Teacher Competency in Mathematics Education for the Early Years.

    ERIC Educational Resources Information Center

    Halperin, Dora

    This practicum addressed the problem of inadequate teacher preparation in the area of learning theory, content, and methodology related to mathematical instruction of children attending a private child care center in Oakland, California. The general goal of the study was to plan, implement, and evaluate a staff development program to increase…

  1. Forecast: Changing Mathematics Curriculum and Increasing Pressure for Higher-Level Thinking Skills.

    ERIC Educational Resources Information Center

    Niess, Margaret L.

    1993-01-01

    Presents a unit developed by the 1991 Oregon Mathematics Teachers of Middle School project in which students investigate the average temperature, precipitation, and snowfall in their town using spreadsheets and graphing packages. Students compare the averages over a period of 30 years to a particular year. (MDH)

  2. Kindergarten Children's Growth Trajectories in Reading and Mathematics: Who Falls Increasingly Behind?

    ERIC Educational Resources Information Center

    Morgan, Paul L.; Farkas, George; Wu, Qiong

    2011-01-01

    The authors used a large sample of children (N [is approximately equal to] 7,400) participating in the Early Childhood Longitudinal Study-Kindergarten Cohort (ECLS-K) to estimate kindergarten children's academic achievement growth trajectories in reading and mathematics. The authors were particularly interested in whether the growth trajectories…

  3. Beyond Cognitive Increase: Investigating the Influence of Computer Programming on Perception and Application of Mathematical Skills

    ERIC Educational Resources Information Center

    Rich, Peter J.; Bly, Neil; Leatham, Keith R.

    2014-01-01

    This study aimed to provide first-hand accounts of the perceived long-term effects of learning computer programming on a learner's approach to mathematics. These phenomenological accounts, garnered from individual interviews of seven different programmers, illustrate four specific areas of interest: (1) programming provides context for many…

  4. Increasing Equity and Achievement in Fifth Grade Mathematics: The Contribution of Content Exposure

    ERIC Educational Resources Information Center

    Ottmar, Erin R.; Konold, Timothy R.; Berry, Robert Q.; Grissmer, David W.; Cameron, Claire E.

    2013-01-01

    This study uses a large nationally representative data set (ECLS-K) of 5,181 students to examine the extent to which exposure to content and instructional practice contributes to mathematics achievement in fifth grade. Using hierarchical linear modeling, results suggest that more exposure to content beyond numbers and operations (i.e., geometry,…

  5. Student Content Knowledge Increases After Participation in a Hands-on Biotechnology Intervention

    NASA Astrophysics Data System (ADS)

    Bigler, Amber M.; Hanegan, Nikki L.

    2011-06-01

    Implementing biotechnology education through hands-on teaching methods should be considered by secondary biology teachers. This study is an experimental research design to examine increased student content knowledge in biotechnology after a hands-on biotechnology intervention. The teachers from both school groups participated in, Project Crawfish, a biotechnology professional development program. Students from both schools completed a pre and post assessment. The classroom was the unit of analysis. When the assessment was analyzed, each school had statistically significant increases in student content knowledge ( p < 0.0001 for the intervention school and p = 0.0481 for the control school). When the schools were compared to each other, a p-value of 0.0543 provided a suggestive relationship that the biotechnology intervention school had a larger increase in student content knowledge overall. When the assessment was divided into the five components, the intervention school showed significant increases in all five components. The control school had significant increases in student content knowledge in the PCR and DNA sequencing components ( p = 0.0459, p = 0.0043, respectively).

  6. How to Build a Course in Mathematical-Biological Modeling: Content and Processes for Knowledge and Skill

    ERIC Educational Resources Information Center

    Hoskinson, Anne-Marie

    2010-01-01

    Biological problems in the twenty-first century are complex and require mathematical insight, often resulting in mathematical models of biological systems. Building mathematical-biological models requires cooperation among biologists and mathematicians, and mastery of building models. A new course in mathematical modeling presented the opportunity…

  7. "An Inconvenient Truth" Increases Knowledge, Concern, and Willingness to Reduce Greenhouse Gases

    ERIC Educational Resources Information Center

    Nolan, Jessica M.

    2010-01-01

    Since May 24, 2006 millions of people have seen the movie "An Inconvenient Truth." Several countries have even proposed using the film as an educational tool in school classrooms. However, it is not yet clear that the movie accomplishes its apparent goals of increasing knowledge and concern, and motivating people to reduce their greenhouse gas…

  8. Using Content Acquisition Podcasts to Increase Student Knowledge and to Reduce Perceived Cognitive Load

    ERIC Educational Resources Information Center

    Kennedy, Michael J.; Hirsch, Shanna Eisner; Dillon, Sarah E.; Rabideaux, Lindsey; Alves, Kathryn D.; Driver, Melissa K.

    2016-01-01

    The use of multimedia-driven instruction in college courses is an emerging practice designed to increase students' knowledge. However, limited research has validated the effectiveness of using multimedia to teach students about functional behavioral assessments (FBAs). To test the effectiveness of a multimedia tool called Content Acquisition…

  9. A Simple and Effective Program to Increase Faculty Knowledge of and Referrals to Counseling Centers

    ERIC Educational Resources Information Center

    Nolan, Susan A.; Pace, Kristi A.; Iannelli, Richard J.; Palma, Thomas V.; Pakalns, Gail P.

    2006-01-01

    The authors describe a simple, cost-effective, and empirically supported program to increase faculty referrals of students to counseling centers (CCs). Incoming faculty members at 3 universities received a mailing and personal telephone call from a CC staff member. Faculty assigned to the outreach program had greater knowledge of and rates of…

  10. Increasing Access to Evidence-Based Practices and Knowledge and Attitudes: A Pilot Study

    ERIC Educational Resources Information Center

    Leathers, Sonya J.; Strand, Tonya C.

    2013-01-01

    Objective: This pilot study examined the effect of increasing field instructors access to information about evidence-based practices (EBPs) on their level of knowledge and attitudes about EBPs. Method: Eighteen field instructors received training and access to a library with extensive online journals. Half were randomly selected to also receive a…

  11. Increasing the Application of Developmental Sciences Knowledge in Educator Preparation: Policy and Practice Issues [Brief

    ERIC Educational Resources Information Center

    Watson, Bernardine H.; Leibbrand, Jane A.

    2010-01-01

    This brief is a summary of "Increasing the Application of Developmental Sciences Knowledge in Educator Preparation: Policy Issues and Recommendations" by Robert C. Pianta, Randy Hitz and Blake West. It includes highlights and policy recommendations contained in that paper. This brief argues that teachers and education administrators need…

  12. Investigating the Efficacy of a Preschool Vocabulary Intervention Designed to Increase Vocabulary Size and Conceptual Knowledge

    ERIC Educational Resources Information Center

    Dwyer, Julie C.

    2010-01-01

    This dissertation study investigated the efficacy of a supplementary preschool embedded multimedia curriculum that was designed to increase one type of conceptual knowledge: taxonomic categories. Named the World of Words (WOW), this curriculum focused on teaching the properties and concepts associated with seven taxonomic categories and providing…

  13. Student Content Knowledge Increases after Participation in a Hands-on Biotechnology Intervention

    ERIC Educational Resources Information Center

    Bigler, Amber M.; Hanegan, Nikki L.

    2011-01-01

    Implementing biotechnology education through hands-on teaching methods should be considered by secondary biology teachers. This study is an experimental research design to examine increased student content knowledge in biotechnology after a hands-on biotechnology intervention. The teachers from both school groups participated in, Project Crawfish,…

  14. Increased Performance Variability as a Marker of Implicit/Explicit Interactions in Knowledge Awareness

    PubMed Central

    Yordanova, Juliana; Kirov, Roumen; Kolev, Vasil

    2015-01-01

    Only some, but not all, individuals who practice tasks with dual structure, overt and covert, are able to comprehend consciously a hidden regularity. The formation of implicit representations of regularity has been proposed to be critical for subsequent awareness. However, explicit knowledge also has been predicted by the activation of executive control systems during task encoding. The present study analyzed performance patterns in participants who could comprehend task regularity and those who could not at delayed recall. Specifically, the role of practice-based knowledge of sequence for individual awareness was focused on. A lateralized variant of the visual serial response time task (SRTT) comprising structured and random blocks was practiced in implicit conditions by 109 participants before and after 10-h retention, with explicit knowledge about covert sequence tested thereafter. Sequence learning was quantified using the normalized difference between response speed in regular and subsequent random blocks. Patterns of performance dynamics were evaluated using response speed, response variability, and error rate. Major results demonstrate that (1) All participants who became aware of the sequence (solvers), gained practice-based sequence knowledge at learning or after retention, (2) Such knowledge also was accumulated during learning by participants who remained fully unaware about covert task structure, (3) Only in explicit solvers, however, was sequence-specific learning accompanied by a prominent increase in performance variability. (4) Specific features and dynamics of performance patterns distinguished different cognitive modes of SRTT processing, each of which supported subsequent knowledge awareness. It is concluded that a behavioral precursor of sequence awareness is the combination of speeded sequence processing and increased performance variability, pointing to an interaction between implicit and explicit processing systems. These results may

  15. Using CD-ROM technology to increase folic acid knowledge among physician assistant students.

    PubMed

    Morgan, Christine; Klein, Diane Austrin; Selbst, Melissa

    2004-01-01

    The purpose of this study was to examine the effectiveness of incorporating CD-ROM technology to increase the knowledge of folic acid among physician assistant students. Participants included 76 first-year physician assistant students enrolled in a Women's Health course. A pretest and posttest was used to evaluate the knowledge gain after viewing the CD-ROM over a 2-week period. Of the 76 students in the course, 73 completed the pretest and the post-test. Posttest scores were significantly better than pretest scores (t = -11.83; p < or = 0.001), with means 68.63% and 46.18%. Knowledge scores increased by 22.45% from pre-test to posttest. Student evaluation results suggested that the CD-ROM (1) provided folic acid information in a clear and effective manner, (2) adequately covered the folic acid information, (3) increased student awareness and knowledge about folic acid, and (4) may promote early commitment by students to recommend daily folic acid intake to their patients.

  16. Open-Ended (Extended/Constructed) Response Questions as Predictors of Success on Subsequent State Mathematics Examination: The Influence of Mathematical Awareness and Conceptual Knowledge

    ERIC Educational Resources Information Center

    Gullie, Kathy A.

    2011-01-01

    This study investigated the predictive ability of students' responses to open-ended, constructed/extended questions in third and fourth grade mathematics content subcategories on subsequent fifth grade mathematics achievement proficiency levels. Open-ended, extended/constructed response questions reflected content as outlined by the National…

  17. Antecedents of Teachers' Educational Beliefs about Mathematics and Mathematical Knowledge for Teaching among In-Service Teachers in High Poverty Urban Schools

    ERIC Educational Resources Information Center

    Corkin, Danya M.; Ekmekci, Adem; Papakonstantinou, Anne

    2015-01-01

    This paper examines the antecedents of three types of educational beliefs about mathematics among 151 teachers predominantly working in high poverty schools. Studies across various countries have found that teachers in high poverty schools are less likely to enact instructional approaches that align with mathematics reform standards set by…

  18. The Role of Mathematical Homework and Prior Knowledge on the Relationship between Students' Mathematical Performance, Cognitive Style and Working Memory Capacity

    ERIC Educational Resources Information Center

    Mousavi, Shima; Radmehr, Farzad; Alamolhodaei, Hasan

    2012-01-01

    Introduction: The main objective of this study is (a) to investigate whether cognitive styles and working memory capacity could predict mathematical performance and which variable is relatively most important in predicting mathematical performance and b) to explore whether cognitive styles and working memory capacity could predict mathematical…

  19. Increasing self-efficacy and knowledge through a seizure education program for special education teachers.

    PubMed

    Price, Valerie; Murphy, Susan O; Cureton, Virginia Young

    2004-02-01

    Since the passage of the 1975 Education for All Handicapped Children Act and the 1986 PL99-457 amendment, many children aged birth to 3 years with special health care needs are enrolled in early intervention programs. Educators working in early intervention services often need to respond to and manage seizure activity and medical emergencies for special needs children. To do so, they need to have knowledge and confidence in their ability to intervene effectively. This intervention study was designed to address the knowledge and self-efficacy of 28 special needs educators on seizure management. The intervention resulted in increased knowledge, skills, and self-efficacy related to seizure management and their ability to interact supportively with families. PMID:14731106

  20. Publications on Peripheral Nerve Injuries during World War I: A Dramatic Increase in Knowledge.

    PubMed

    Koehler, Peter J

    2016-01-01

    Publications from French (Jules Tinel and Chiriachitza Athanassio-Bénisty), English (James Purves-Stewart, Arthur Henry Evans and Hartley Sidney Carter), German (Otfrid Foerster and Hermann Oppenheim) and American (Charles Harrison Frazier and Byron Stookey) physicians from both sides of the front during World War I (WWI) contributed to a dramatic increase in knowledge about peripheral nerve injuries. Silas Weir Mitchell's original experience with respect to these injuries, and particularly causalgia, during the American Civil War was further expanded in Europe during WWI. Following the translation of one of his books, he was referred to mainly by French physicians. During WWI, several French books were in turn translated into English, which influenced American physicians, as was observed in the case of Byron Stookey. The establishment of neurological centres played an important role in the concentration of experience and knowledge. Several eponyms originated during this period (including the Hoffmann-Tinel sign and the Froment sign). Electrodiagnostic tools were increasingly used.

  1. Even the "Best" Teachers May Need Adequate Subject Knowledge: An Illustrative Mathematics Case Study

    ERIC Educational Resources Information Center

    Modiba, Maropeng

    2011-01-01

    As curriculum scholars in South Africa express concerns about the failures of the outcomes-based curriculum policy that has been introduced post-apartheid it is of increased importance to try and understand the professional development that is required by teachers for its successful implementation. As a contribution to the development of such…

  2. An Instrument for Assessing Primary Students' Knowledge of Information Graphics in Mathematics

    ERIC Educational Resources Information Center

    Diezmann, Carmel M.; Lowrie, Tom J.

    2009-01-01

    Information graphics have become increasingly important in representing, organising and analysing information in a technological age. In classroom contexts, information graphics are typically associated with graphs, maps and number lines. However, all students need to become competent with the broad range of graphics that they will encounter in…

  3. UnCommon Knowledge: Projects That Help Middle-School-Age Youth Discover the Science and Mathematics in Everyday Life. Volume Two: Hands-On Math Projects.

    ERIC Educational Resources Information Center

    Carter, Carolyn S.; Cohen, Sara; Keyes, Marian; Kusimo, Patricia S.; Lunsford, Crystal

    This guide contains hands-on mathematics activities to connect middle-school students to the traditional knowledge of their grandparents and elders. Because girls often lose interest in math at the middle-school level, and because women in some communities (especially in rural areas) are seldom involved in work with an obvious math basis, the…

  4. Knowledge and Attitudes of Ugandan Preservice Science and Mathematics Teachers toward Global and Ugandan Science--and Technology-Based Problems and/or Threats

    ERIC Educational Resources Information Center

    Robinson, Michael; Tibanyendera, Basil; Seltzer-Kelly, Debbie

    2007-01-01

    This article reports the effects of a science, technology, and society (STS) teaching approach on the knowledge and attitudes of preservice science and mathematics teachers in Uganda toward global science and technology-based problems and/or threats. The responses of a baseline or control group (N = 50) and an experimental group (N = 50) to five…

  5. Elementary Preservice Teachers' Mathematical Knowledge for Teaching: Using Situated Case Studies and Educative Experiences to Examine and Improve the Development of MKT in Teacher Education

    ERIC Educational Resources Information Center

    Johnson, Tracy L.

    2011-01-01

    This study examined pre-service teachers' development of mathematical knowledge for teaching (MKT) over their final year in a university based teacher education program. This was done through analyzing written reflections, focus group interviews, individual interviews, teaching observations, and post-observation interviews as well as through the…

  6. Is Constructivist Learning Environment Really Effective on Learning and Long-Term Knowledge Retention in Mathematics? Example of the Infinity Concept

    ERIC Educational Resources Information Center

    Narli, Serkan

    2011-01-01

    This study investigates the long-term effects of instructing Cantor set theory using constructivist learning approach on student knowledge retention. The participants included 60 first-year secondary mathematics pre-service teachers. Students were divided into two classes one of which was taught via traditional lecture (n = 30) and the other was…

  7. Investigating Links from Teacher Knowledge, to Classroom Practice, to Student Learning in the Instructional System of the Middle-School Mathematics Classroom

    ERIC Educational Resources Information Center

    Shechtman, Nicole; Roschelle, Jeremy; Haertel, Geneva; Knudsen, Jennifer

    2010-01-01

    Using data collected in 125 seventh-grade and 56 eighth-grade Texas classrooms in the context of the "Scaling Up SimCalc" research project in 2005-07, we examined relationships between teachers' mathematics knowledge, teachers' classroom decision making, and student achievement outcomes on topics of rate, proportionality, and linear…

  8. Effects of Future Mathematics Teachers' Affective, Cognitive and Socio-Demographic Characteristics on Their Knowledge at the End of the Teacher Education in Germany and Taiwan

    ERIC Educational Resources Information Center

    Laschke, Christin

    2013-01-01

    How individual characteristics affect the acquisition of knowledge in teacher education has been widely unexplored thus far. The "Teacher Education and Development Study--Learning to Teach Mathematics (TEDS-M)" provides a database for examining this research question across countries. Based on the Taiwanese and German sample of TEDS-M,…

  9. A Qualitative Study on the Development of Pre-Service Teachers' Mathematical Knowledge for Teaching in a History-Based Course

    ERIC Educational Resources Information Center

    Youchu, Huang

    2016-01-01

    This study explores the effect of a history-based course on pre-service teachers' mathematical knowledge for teaching (MKT). Data were collected from 10 pre-service teachers at a normal university in China. At the beginning of the course, participants were asked to submit their teaching plans followed by a teaching simulation on selected topics.…

  10. Developing an Instrument for Measuring Teachers' Mathematics Content Knowledge on Ratio and Proportion: A Case of Indonesian Primary Teachers

    ERIC Educational Resources Information Center

    Ekawati, Rooselyna; Lin, Fou-Lai; Yang, Kai-Lin

    2015-01-01

    In this study, we developed an instrument for assessing teachers' mathematics content knowledge (MCK) on ratio and proportion and examined the profile of Indonesian primary teacher's MCK on this topic. The MCK items were administered to 271 Indonesian in-service primary teachers with a variety of educational backgrounds and teaching…

  11. Public Awareness of Colorectal Cancer Screening: Knowledge, Attitudes, and Interventions for Increasing Screening Uptake

    PubMed Central

    Gimeno Garcia, Antonio Z.; Hernandez Alvarez Buylla, Noemi; Nicolas-Perez, David; Quintero, Enrique

    2014-01-01

    Colorectal cancer ranks as one of the most incidental and death malignancies worldwide. Colorectal cancer screening has proven its benefit in terms of incidence and mortality reduction in randomized controlled trials. In fact, it has been recommended by medical organizations either in average-risk or family-risk populations. Success of a screening campaign highly depends on how compliant the target population is. Several factors influence colorectal cancer screening uptake including sociodemographics, provider and healthcare system factors, and psychosocial factors. Awareness of the target population of colorectal cancer and screening is crucial in order to increase screening participation rates. Knowledge about this disease and its prevention has been used across studies as a measurement of public awareness. Some studies found a positive relationship between knowledge about colorectal cancer, risk perception, and attitudes (perceived benefits and barriers against screening) and willingness to participate in a colorectal cancer screening campaign. The mentioned factors are modifiable and therefore susceptible of intervention. In fact, interventional studies focused on average-risk population have tried to increase colorectal cancer screening uptake by improving public knowledge and modifying attitudes. In the present paper, we reviewed the factors impacting adherence to colorectal cancer screening and interventions targeting participants for increasing screening uptake. PMID:24729896

  12. Examining the Effects of Math Teachers' Circles on Aspects of Teachers' Mathematical Knowledge for Teaching

    ERIC Educational Resources Information Center

    White, Diana; Donaldson, Brianna; Hodge, Angie; Ruff, Adam

    2013-01-01

    Math Teachers' Circles have been spreading since their emergence in 2006. These professional development programs, aimed primarily at middle-level mathematics teachers (grades 5-9), focus on developing teachers' mathematical problem solving skills, in line with the Common Core State Standards-Standards of Mathematical Practice. Yet, to…

  13. Impacts of Farmers' Knowledge Increase on Farm Profit and Watershed Water Quality

    NASA Astrophysics Data System (ADS)

    Ding, D.; Bennett, D. A.

    2013-12-01

    This study explores the impact that an increase in real-time data might have on farmers' nitrogen management, on-farm profit, and watershed water quality in the Midwestern US. In this study, an agent-based model (ABM) is used to simulate farmers' decisions about nitrogen application rate and timing in corn fields. SWAT (soil-water assessment tool) is used to generate a database that characterizes the response of corn yields to nitrogen fertilizer application and the dynamics of nitrogen loss under different scenarios of rainfall events. The database simulates a scenario where farmers would receive real-time feedback about the fate and impact of nitrogen applied to their fields from in-situ sensors. The ability to transform these data into optimal actions is simulated at multiple levels for farmer agents. In a baseline scenario, the farmer agent is only aware of the yield potential of the land field and single values of N rates for achieving the yield potential and is not aware of N loss from farm fields. Knowledge increase is represented by greater accuracy in predicting rainfall events, and the increase of the number of discrete points in a field-specific quadratic curve that captures crop yield response to various levels of nitrogen perceived by farmer agents. In addition, agents perceive N loss from farm fields at increased temporal resolutions. Correspondingly, agents make adjustments to the rate of N application for crops and the timing of fertilizer application given the rainfall events predictions. Farmers' decisions simulated by the ABM are input into SWAT to model nitrogen concentration in impacted streams. Farm profit statistics and watershed-level nitrogen loads are compared among different scenarios of knowledge increase. The hypothesis that the increase of farmers' knowledge benefits both farm profits and watershed water quality is tested through the comparison.

  14. Evaluation of a Fotonovela to Increase Depression Knowledge and Reduce Stigma Among Hispanic Adults

    PubMed Central

    Cabassa, Leopoldo J.; Molina, Gregory B.; Contreras, Sandra; Baron, Melvin

    2013-01-01

    Fotonovelas—small booklets that portray a dramatic story using photographs and captions—represent a powerful health education tool for low-literacy and ethnic minority audiences. This study evaluated the effectiveness of a depression fotonovela in increasing depression knowledge, decreasing stigma, increasing self-efficacy to recognize depression, and increasing intentions to seek treatment, relative to a text pamphlet. Hispanic adults attending a community adult school (N = 157, 47.5 % female, mean age = 35.8 years, 84 % immigrants, 63 % with less than high school education) were randomly assigned to read the fotonovela or a low-literacy text pamphlet about depression. They completed surveys before reading the material, immediately after reading the material, and 1 month later. The fotonovela and text pamphlet both produced significant improvements in depression knowledge and self-efficacy to identify depression, but the fotonovela produced significantly larger reductions in antidepressant stigma and mental health care stigma. The fotonovela also was more likely to be passed on to family or friends after the study, potentially increasing its reach throughout the community. Results indicate that fotonovelas can be useful for improving health literacy among underserved populations, which could reduce health disparities. PMID:22485012

  15. Knowledge.

    ERIC Educational Resources Information Center

    Online-Offline, 1999

    1999-01-01

    This theme issue on knowledge includes annotated listings of Web sites, CD-ROMs and computer software, videos, books, and additional resources that deal with knowledge and differences between how animals and humans learn. Sidebars discuss animal intelligence, learning proper behavior, and getting news from the Internet. (LRW)

  16. Frequent Surfing on Social Health Networks is Associated With Increased Knowledge and Patient Health Activation

    PubMed Central

    Grosberg, Dafna; Grinvald, Haya; Reuveni, Haim

    2016-01-01

    Background The advent of the Internet has driven a technological revolution that has changed our lives. As part of this phenomenon, social networks have attained a prominent role in health care. A variety of medical services is provided over the Internet, including home monitoring, interactive communications between the patient and service providers, and social support, among others. This study emphasizes some of the practical implications of Web-based health social networks for patients and for health care systems. Objective The objective of this study was to assess how participation in a social network among individuals with a chronic condition contributed to patient activation, based on the Patient Activation Measure (PAM). Methods A prospective, cross-sectional survey with a retrospective component was conducted. Data were collected from Camoni, a Hebrew-language Web-based social health network, participants in the diabetes mellitus, pain, hypertension, and depression/anxiety forums, during November 2012 to 2013. Experienced users (enrolled at least 6 months) and newly enrolled received similar versions of the same questionnaire including sociodemographics and PAM. Results Among 686 participants, 154 of 337 experienced and 123 of 349 newly enrolled completed the questionnaire. Positive correlations (P<.05) were found between frequency and duration of site visits and patient activation, social relationships, and chronic disease knowledge. Men surfed longer than women (χ²3=10.104, P<.05). Experienced users with diabetes surfed more than those with other illnesses and had significantly higher PAM scores (mean, M=69.3, standard deviation, SD=19.1, PAM level 4; Z=−4.197, P<.001) than new users (M=62.8, SD=18.7, PAM level 3). Disease knowledge directly predicted PAM for all users (β=.26 and .21, respectively). Frequency and duration of social health network use were correlated with increased knowledge about a chronic disease. Experienced surfers had higher PAM

  17. Ebola Outbreak in Nigeria: Increasing Ebola Knowledge of Volunteer Health Advisors.

    PubMed

    Patel, Unnati; Pharr, Jennifer R; Ihesiaba, Chidi; Oduenyi, Frances U; Hunt, Aaron T; Patel, Dina; Obiefune, Michael; Chukwumerije, Nkem; Ezeanolue, Echezona E

    2016-01-01

    In many low-income countries, volunteer health advisors (VHAs) play an important role in disseminating information, especially in rural or hard-to-reach locations. When the world's largest outbreak of Ebola virus disease (EVD) occurred in 2014, a majority of cases were concentrated in the West African countries of Guinea, Liberia, and Sierra Leone. Twenty cases were reported in Nigeria initially and there was a need to rapidly disseminate factual information on Ebola virus. In southeast Nigeria, a group of VHAs was being used to implement the Healthy Beginning Initiative [HBI], a congregation based intervention to increase HIV testing among pregnant women and their male partners. The purpose of this study was to assess the baseline and post EVD training knowledge of VHAs during the outbreak in Nigeria. In September 2014, 59 VHAs attending a HBI training workshop in the Enugu State of Nigeria participated in an Ebola awareness training session. Participants completed a 10-item single-answer questionnaire that assessed knowledge of Ebola epidemiology, symptoms, transmission, prevention practices, treatment and survival prior to the Ebola awareness training. After the training, the VHAs repeated the questionnaire. Answers to pre and post questionnaires were analyzed using paired t-tests. Multiple linear regression was used to examine the relationship between pre and post total questionnaire scores and age, education, current location and employment. The average pre-test score was 7.3 and average post-test score was 7.8 which was a significant difference (t=-2.5, p=0.01). Prior to the training, there was a significant difference in Ebola knowledge based on the VHAs education only (p<0.01). After training, education was no longer significant for Ebola knowledge. Existing community health programs can be used as a platform to train VHAs in times of epidemics for quick dissemination of vital health information in areas lacking adequate health infrastructure and personnel.

  18. Ebola Outbreak in Nigeria: Increasing Ebola Knowledge of Volunteer Health Advisors

    PubMed Central

    Patel, Unnati; Pharr, Jennifer R.; Ihesiaba, Chidi; Oduenyi, Frances U.; Hunt, Aaron T.; Patel, Dina; Obiefune, Michael; Chukwumerije, Nkem; Ezeanolue, Echezona E.

    2016-01-01

    In many low-income countries, volunteer health advisors (VHAs) play an important role in disseminating information, especially in rural or hard-to-reach locations. When the world’s largest outbreak of Ebola virus disease (EVD) occurred in 2014, a majority of cases were concentrated in the West African countries of Guinea, Liberia, and Sierra Leone. Twenty cases were reported in Nigeria initially and there was a need to rapidly disseminate factual information on Ebola virus. In southeast Nigeria, a group of VHAs was being used to implement the Healthy Beginning Initiative [HBI], a congregation based intervention to increase HIV testing among pregnant women and their male partners. The purpose of this study was to assess the baseline and post EVD training knowledge of VHAs during the outbreak in Nigeria. In September 2014, 59 VHAs attending a HBI training workshop in the Enugu State of Nigeria participated in an Ebola awareness training session. Participants completed a 10-item single-answer questionnaire that assessed knowledge of Ebola epidemiology, symptoms, transmission, prevention practices, treatment and survival prior to the Ebola awareness training. After the training, the VHAs repeated the questionnaire. Answers to pre and post questionnaires were analyzed using paired t-tests. Multiple linear regression was used to examine the relationship between pre and post total questionnaire scores and age, education, current location and employment. The average pre-test score was 7.3 and average post-test score was 7.8 which was a significant difference (t=-2.5, p=0.01). Prior to the training, there was a significant difference in Ebola knowledge based on the VHAs education only (p<0.01). After training, education was no longer significant for Ebola knowledge. Existing community health programs can be used as a platform to train VHAs in times of epidemics for quick dissemination of vital health information in areas lacking adequate health infrastructure and

  19. Alien Contact. Examining the Influence of Teacher Mathematics Knowledge for Teaching on Their Implementation of a Mathematical, Augmented Reality Curricular Unit

    ERIC Educational Resources Information Center

    Mitchell, Rebecca Noelle

    2009-01-01

    This paper reports on findings from a five-teacher, exploratory case study, critically observing their implementation of a technology-intensive, augmented reality (AR) mathematics curriculum unit, along with its paper-based control. The unit itself was intended to promote multiple proportional reasoning strategies to urban, public middle school…

  20. The Impact of Problem-Based Learning Curricula and Teachers' Mathematical Knowledge for Teaching on the Mathematical Development of Second Grade Students

    ERIC Educational Resources Information Center

    Trinter, Christine P.

    2011-01-01

    The results from the 2007 Trends in International Mathematics and Science Study (TIMSS) revealed that the scores of fourth grade students in the 90th percentile showed no measurable change from the results of the first TIMSS assessment in 1995. Contrarily, the scores of the lowest performing fourth graders showed statistically significant…

  1. A School-Hospital Partnership Increases Knowledge of Pedestrian and Motor Vehicle Safety.

    PubMed

    Bachman, Shelby L; Arbogast, Helen; Ruiz, Pearl; Farag, Mina; Demeter, Natalie E; Upperman, Jeffrey S; Burke, Rita V

    2015-12-01

    Pedestrian and motor vehicle-related injuries are leading causes of morbidity and mortality in children. Trauma centers have specialized resources to conduct interventions that improve the safety of whole communities. In the present study, we evaluated the effectiveness of a school-hospital partnership in increasing knowledge of pedestrian and motor vehicle safety among students and parents in a large, urban community. Staff from a Level I pediatric trauma center conducted educational interventions in an urban public school district. Elementary school students participated in a pedestrian safety program, middle school students completed a community safety program, and high school students learned about the dangers of drunk and distracted driving. Students completed pre- and post-tests. Parents in the neighboring community received child passenger safety education at two child restraint (CR) inspection events. A total of 2203 students participated at a total of nine schools. Post-test scores were significantly higher than pre-test scores for students in all three age groups and within each grade level. At CR inspection events, 67 CRs were inspected, 49 (73 %) of which were replaced with new age- and weight- appropriate CRs. The most common instance of improper CR use was loose CR fit in vehicle seat (33 %). All 120 observed instances of misuse were corrected by a certified Child Passenger Safety Technician. Educational interventions effectively increased knowledge of pedestrian and motor vehicle safety among students and parents. We have demonstrated the utility of a school-hospital partnership for furthering knowledge of safety in an urban community.

  2. Publications on Peripheral Nerve Injuries during World War I: A Dramatic Increase in Knowledge.

    PubMed

    Koehler, Peter J

    2016-01-01

    Publications from French (Jules Tinel and Chiriachitza Athanassio-Bénisty), English (James Purves-Stewart, Arthur Henry Evans and Hartley Sidney Carter), German (Otfrid Foerster and Hermann Oppenheim) and American (Charles Harrison Frazier and Byron Stookey) physicians from both sides of the front during World War I (WWI) contributed to a dramatic increase in knowledge about peripheral nerve injuries. Silas Weir Mitchell's original experience with respect to these injuries, and particularly causalgia, during the American Civil War was further expanded in Europe during WWI. Following the translation of one of his books, he was referred to mainly by French physicians. During WWI, several French books were in turn translated into English, which influenced American physicians, as was observed in the case of Byron Stookey. The establishment of neurological centres played an important role in the concentration of experience and knowledge. Several eponyms originated during this period (including the Hoffmann-Tinel sign and the Froment sign). Electrodiagnostic tools were increasingly used. PMID:27035152

  3. Interventions aimed at increasing knowledge and improving attitudes towards people with intellectual disabilities among lay people.

    PubMed

    Seewooruttun, Leila; Scior, Katrina

    2014-12-01

    Despite policies aimed at ensuring equal rights and maximising respect and social inclusion for people with intellectual disabilities, in their daily lives many continue to face negative attitudes and discrimination within society. Misconceptions about what it means to have an intellectual disability and about the capabilities of people with intellectual disabilities appear widespread, and may contribute to prejudice and discrimination. This review provides a summary and evaluation of empirical interventions aimed at increasing knowledge and targeting negative attitudes towards this population among lay people of working age. An electronic search using PsycINFO, Web of Science and PubMed identified 22 English language studies published between 1990 and early 2014 that reported a specific intervention with a lay population sample. The majority of studies reported promising outcomes, particularly those aimed at increasing knowledge of intellectual disability through education. Support for the positive influence of contact with people with intellectual disabilities was demonstrated across several interventions. Interventions delivered at least partly by individuals with intellectual disabilities, and educational interventions appear to hold the most promise. The evidence is limited though by the weaknesses of measurement tools employed. PMID:25213473

  4. Mathematics from High School to Community College: Using Existing Tools to Increase College-Readiness Now. Policy Brief 14-1

    ERIC Educational Resources Information Center

    Jaffe, Louise

    2014-01-01

    The adoption and implementation of the Common Core State Standards and Smarter Balanced assessments in mathematics are intended to provide all students in California with the knowledge and skills required to transition from high school to college-level coursework. This implementation will take time. Concurrent with these efforts, policymakers and…

  5. Teaching Students What They Already Know? The (Mis)Alignment between Mathematics Instructional Content and Student Knowledge in Kindergarten

    ERIC Educational Resources Information Center

    Engel, Mimi; Claessens, Amy; Finch, Maida A.

    2013-01-01

    Kindergarten mathematics skills are important for subsequent achievement, yet mathematics is underemphasized in kindergarten classrooms. Using nationally representative data, this study explored the relationship between students' school-entry math skills, classroom content coverage, and end-of-kindergarten math achievement. Although the vast…

  6. Teaching Students What They Already Know? The Misalignment between Mathematics Instructional Content and Student Knowledge in Kindergarten

    ERIC Educational Resources Information Center

    Engel, Mimi; Claessens, Amy; Finch, Maida

    2011-01-01

    This study describes children's early math skills and the kindergarten mathematics content to which they are exposed. The authors focus specifically on teacher survey responses to items about content coverage that align most closely with the content covered on the ECLS-K kindergarten mathematics achievement test. They examine the influence…

  7. Remedial Mathematics for Quantum Chemistry

    ERIC Educational Resources Information Center

    Koopman, Lodewijk; Brouwer, Natasa; Heck, Andre; Buma, Wybren Jan

    2008-01-01

    Proper mathematical skills are important for every science course and mathematics-intensive chemistry courses rely on a sound mathematical pre-knowledge. In the first-year quantum chemistry course at this university, it was noticed that many students lack basic mathematical knowledge. To tackle the mathematics problem, a remedial mathematics…

  8. Creative Thinking Ability to Increase Student Mathematical of Junior High School by Applying Models Numbered Heads Together

    ERIC Educational Resources Information Center

    Lince, Ranak

    2016-01-01

    Mathematical ability of students creative thinking is a component that must be mastered by the student. Mathematical creative thinking plays an important role, both in solving the problem and well, even in high school students. Therefore, efforts are needed to convey ideas in mathematics. But the reality is not yet developed the ability to…

  9. Linking an agency strategic review to increase knowledge management: San Francisco County Human Service Agency.

    PubMed

    Harrison, Lindsay

    2012-01-01

    Led by the agency director, the agency engaged in a Strategic Review, based on a comprehensive assessment of agency performance that identified strategies to improve organizational effectiveness through increased data-informed practice and knowledge management. The Strategic Review gathered information on staff perceptions, perceptions of external stakeholders, changing citywide and neighborhood demographics, policy mandates, and budget and workload issues. The need for the review was based upon multiple, substantial changes not addressed in the 2000 Strategic Plan, including the 2004 merger of the Department of Human Services and the Department of Aging and Adult Services, changes among the executive management team, transitions among key political entities, new policy mandates and changing budget allocations. This case study describes the Strategic Review process and content, summarizing key challenges and lessons related to addressing workload demands, fostering positive staff attitudes, balancing internal and external information needs, and integrating data use and planning processes across the agency.

  10. Linking an agency strategic review to increase knowledge management: San Francisco County Human Service Agency.

    PubMed

    Harrison, Lindsay

    2012-01-01

    Led by the agency director, the agency engaged in a Strategic Review, based on a comprehensive assessment of agency performance that identified strategies to improve organizational effectiveness through increased data-informed practice and knowledge management. The Strategic Review gathered information on staff perceptions, perceptions of external stakeholders, changing citywide and neighborhood demographics, policy mandates, and budget and workload issues. The need for the review was based upon multiple, substantial changes not addressed in the 2000 Strategic Plan, including the 2004 merger of the Department of Human Services and the Department of Aging and Adult Services, changes among the executive management team, transitions among key political entities, new policy mandates and changing budget allocations. This case study describes the Strategic Review process and content, summarizing key challenges and lessons related to addressing workload demands, fostering positive staff attitudes, balancing internal and external information needs, and integrating data use and planning processes across the agency. PMID:22409611

  11. Exploring Alternative Ways of Assessing Prior Knowledge, Its Components and Their Relation to Student Achievement: A Mathematics Based Case Study

    ERIC Educational Resources Information Center

    Hailikari, Telle; Nevgi, Anne; Lindblom-Ylanne, Sari

    2007-01-01

    This study investigates how different types of prior knowledge influence student achievement and how different assessment measures influence the observed effect of prior knowledge. We introduce a model of prior knowledge that distinguishes between different types of prior knowledge and uses different assessment measures to assess different types…

  12. A community effort towards a knowledge-base and mathematical model of the human pathogen Salmonella Typhimurium LT2

    SciTech Connect

    Thiele, Ines; Hyduke, Daniel R.; Steeb, Benjamin; Fankam, Guy; Allen, Douglas K.; Bazzani, Susanna; Charusanti, Pep; Chen, Feng-Chi; Fleming, Ronan MT; Hsiung, Chao A.; De Keersmaecker, Sigrid CJ; Liao, Yu-Chieh; Marchal, Kathleen; Mo, Monica L.; Özdemir, Emre; Raghunathan, Anu; Reed, Jennifer L.; Shin, Sook-Il; Sigurbjörnsdóttir, Sara; Steinmann, Jonas; Sudarsan, Suresh; Swainston, Neil; Thijs, Inge M.; Zengler, Karsten; Palsson, Bernhard O.; Adkins, Joshua N.; Bumann, Dirk

    2011-01-01

    Metabolic reconstructions (MRs) are common denominators in systems biology and represent biochemical, genetic, and genomic (BiGG) knowledge-bases for target organisms by capturing currently available information in a consistent, structured manner. Salmonella enterica subspecies I serovar Typhimurium is a human pathogen, causes various diseases and its increasing antibiotic resistance poses a public health problem. Here, we describe a community-driven effort, in which more than 20 experts in S. Typhimurium biology and systems biology collaborated to reconcile and expand the S. Typhimurium BiGG knowledge-base. The consensus MR was obtained starting from two independently developed MRs for S. Typhimurium. Key results of this reconstruction jamboree include i) development and implementation of a community-based workflow for MR annotation and reconciliation; ii) incorporation of thermodynamic information; and iii) use of the consensus MR to identify potential multi-target drug therapy approaches. Finally, taken together, with the growing number of parallel MRs a structured, community-driven approach will be necessary to maximize quality while increasing adoption of MRs in experimental design and interpretation.

  13. Assessing Mathematical Problem Solving Using Comparative Judgement

    ERIC Educational Resources Information Center

    Jones, Ian; Swan, Malcolm; Pollitt, Alastair

    2015-01-01

    There is an increasing demand from employers and universities for school leavers to be able to apply their mathematical knowledge to problem solving in varied and unfamiliar contexts. These aspects are however neglected in most examinations of mathematics and, consequentially, in classroom teaching. One barrier to the inclusion of mathematical…

  14. Teaching Mathematics That Addresses Learners' Multiple Intelligences

    ERIC Educational Resources Information Center

    Gouws, E.; Dicker, A-M.

    2011-01-01

    To meet the demands of our highly technological and globally competitive society, it is becoming increasingly important for all learners in South Africa to obtain skills and knowledge in mathematics. However, South Africa performed the worst of all the countries who participated in the Trends in International Mathematics and Science Study (TIMMS).…

  15. Tropical forest responses to increasing [CO2]: current knowledge and opportunities for future research

    SciTech Connect

    Cernusak, Lucas; Winter, Klaus; Dalling, James; Holtum, Joseph; Jaramillo, Carlos; Korner, Christian; Leakey, Andrew D.B.; Norby, Richard J; Poulter, Benjamin; Turner, Benjamin; Wright, S. Joseph

    2013-01-01

    Elevated atmospheric [CO2] (ca) will undoubtedly affect the metabolism of tropical forests worldwide; however, critical aspects of how tropical forests will respond remain largely unknown. Here we review the current state of knowledge about physiological and ecological responses, with the aim of providing a framework that can help to guide future experimental research. Modelling studies have indicated that elevated ca can potentially stimulate photosynthesis more in the tropics than at higher latitudes, because suppression of photorespiration by elevated ca increases with temperature. However, canopy leaves in tropical forests could also potentially reach a high temperature threshold under elevated ca that will moderate the rise in photosynthesis. Belowground responses, including fine root production, nutrient foraging, and soil organic matter processing, will be especially important to the integrated ecosystem response to elevated CO2. Water-use efficiency will increase as ca rises, potentially impacting upon soil moisture status and nutrient availability. Recruitment may be differentially altered for some functional groups, potentially decreasing ecosystem carbon storage. Whole-forest CO2 enrichment experiments are urgently needed to test predictions of tropical forest functioning under elevated ca. Smaller scale experiments in the understory and in gaps would also be informative, and could provide stepping stones toward stand-scale manipulations.

  16. Mathematical Analysis of Space Radiator Segmenting for Increased Reliability and Reduced Mass

    NASA Technical Reports Server (NTRS)

    Juhasz, Albert J.

    2001-01-01

    Spacecraft for long duration deep space missions will need to be designed to survive micrometeoroid bombardment of their surfaces some of which may actually be punctured. To avoid loss of the entire mission the damage due to such punctures must be limited to small, localized areas. This is especially true for power system radiators, which necessarily feature large surface areas to reject heat at relatively low temperature to the space environment by thermal radiation. It may be intuitively obvious that if a space radiator is composed of a large number of independently operating segments, such as heat pipes, a random micrometeoroid puncture will result only in the loss of the punctured segment, and not the entire radiator. Due to the redundancy achieved by independently operating segments, the wall thickness and consequently the weight of such segments can be drastically reduced. Probability theory is used to estimate the magnitude of such weight reductions as the number of segments is increased. An analysis of relevant parameter values required for minimum mass segmented radiators is also included.

  17. Did Learning Mathematics Online Increase Students' Math Proficiency?: An Outcome Study of a Vocational High School's Use of an Online Mathematics Program

    ERIC Educational Resources Information Center

    Paadre, Taimi H.

    2011-01-01

    This mixed methods outcomes study investigated a summer school mathematics program for all incoming 9th grade students at a suburban New England vocational technical high school. Qualitative data was gathered via survey and interview from administration, faculty, and students involved with the newly introduced online learning program.…

  18. Students as Mathematics Consultants

    ERIC Educational Resources Information Center

    Jensen, Jennifer L.

    2013-01-01

    If students are going to develop reasoning and thinking skills, use their mathematical knowledge, and recognize the relevance of mathematics in their lives, they need to experience mathematics in meaningful ways. Only then will their mathematical skills be transferrable to all other parts of their lives. To promote such flexible mathematical…

  19. Learning Sequences in the Acquisition of Mathematical Knowledge: Using Cognitive Developmental Theory to Inform Curriculum Design for Pre-K-6 Mathematics Education

    ERIC Educational Resources Information Center

    Griffin, Sharon

    2009-01-01

    Using Central Conceptual Structure theory as an heuristic, learning sequences in the acquisition of number knowledge are described in three forms that bridge theory and practice: as a four-stage theoretical progression, as items on a developmental test created to test the theoretical progression, and as learning objectives in a curriculum designed…

  20. Further Exploration of the Classroom Video Analysis (CVA) Instrument as a Measure of Usable Knowledge for Teaching Mathematics: Taking a Knowledge System Perspective

    ERIC Educational Resources Information Center

    Kersting, Nicole B.; Sutton, Taliesin; Kalinec-Craig, Crystal; Stoehr, Kathleen Jablon; Heshmati, Saeideh; Lozano, Guadalupe; Stigler, James W.

    2016-01-01

    In this article we report further explorations of the classroom video analysis instrument (CVA), a measure of usable teacher knowledge based on scoring teachers' written analyses of classroom video clips. Like other researchers, our work thus far has attempted to identify and measure separable components of teacher knowledge. In this study we take…

  1. Knowledge Growth in Teaching Mathematics/Science with Spreadsheets: Moving PCK to TPACK through Online Professional Development

    ERIC Educational Resources Information Center

    Niess, Margaret L.; van Zee, Emily H.; Gillow-Wiles, Henry

    2011-01-01

    Inservice teachers need ways to gain an integrated knowledge of content, pedagogy, and technologies that reflects new ways of teaching and learning in the 21st century. This interpretive study examined inservice K-8 teachers' growth in their pedagogical content knowledge (PCK) toward technology, pedagogy, and content knowledge (TPACK) in an online…

  2. Finding the Sweet Spot: Network Structures and Processes for Increased Knowledge Mobilization

    ERIC Educational Resources Information Center

    Briscoe, Patricia; Pollock, Katina; Campbell, Carol; Carr-Harris, Shasta

    2015-01-01

    The use of networks in public education is one of many knowledge mobilization (KMb) strategies utilized to promote evidence-based research into practice. However, challenges exist in the ability to mobilize knowledge through networks. The purpose of this paper is to explore how networks work. Data were collected from virtual discussions for an…

  3. Becoming Literate in Mathematics and Science: The Knowledge and Skills To Handle the Ever-Changing World with Confidence.

    ERIC Educational Resources Information Center

    Thorson, Annette, Ed.

    2001-01-01

    The Eisenhower National Clearinghouse for Mathematics and Science Education (ENC) helps teachers by offering a broad assortment of services to enable them to quickly locate educational resources. This theme issue of the serial "ENC Focus" is designed to give educators information on curriculum resources available for teaching math and science in…

  4. Teacher-Student Interaction in Joint Word Problem Solving. The Role of Situational and Mathematical Knowledge in Mainstream Classrooms

    ERIC Educational Resources Information Center

    Rosales, Javier; Vicente, Santiago; Chamoso, Jose M.; Munez, David; Orrantia, Josetxu

    2012-01-01

    Word problem solving involves the construction of two different mental representations, namely, mathematical and situational. Although educational research in word problem solving has documented different kinds of instruction at these levels, less is known about how both representational levels are evoked during word problem solving in day-to-day…

  5. The Process of Making Meaning: The Interplay between Teachers' Knowledge of Mathematical Proofs and Their Classroom Practices

    ERIC Educational Resources Information Center

    Paddack, Megan

    2009-01-01

    The purpose of this study was to investigate and describe how middle school mathematics teachers "make meaning" of proofs and the process of proving in the context of their classroom practices. A framework of "making meaning," created by the researcher, guided the data collection and analysis phases of the study. This framework describes the five…

  6. An Evaluation of Blended Instruction in Terms of Knowledge Acquisition and Attitude in an Introductory Mathematics Course

    ERIC Educational Resources Information Center

    Czaplewski, John Robert

    2014-01-01

    A medium-sized accredited public university located in southeastern Minnesota has been offering an introductory undergraduate mathematics course with a consistent curriculum in two instructional formats: face-to-face and blended. Previously the course was offered only through a face-to-face instructional format while currently, it is only offered…

  7. A Cognitive Strategy for Developing Pedagogical Content Knowledge in the Secondary Mathematics Methods Course: Toward a Model of Effective Practice.

    ERIC Educational Resources Information Center

    Kinach, Barbara M.

    2002-01-01

    Describes an experiment designed to change prospective teachers' views of what constitutes a good explanation of a mathematics topic, presenting examples of participants' explanations at three stages of the experiment using a "levels of subject-matter understanding" framework, and suggesting that to effectively teach a topic, teachers'…

  8. Exploring the Mathematical Knowledge for Teaching Geometry and Measurement through the Design and Use of Rich Assessment Tasks

    ERIC Educational Resources Information Center

    Steele, Michael D.

    2013-01-01

    While recent national and international assessments have shown mathematical progress being made by US students, little to no gains are evident in the areas of geometry and measurement. These reports also suggest that practicing teachers have traditionally had few opportunities to engage in content learning around topics in geometry and…

  9. Aspects of Interactive Multimedia Environment Supporting Beginning Mathematics and Science Teachers' Construction of Knowledge about Teaching and Learning.

    ERIC Educational Resources Information Center

    Daniel, Patricia

    Classroom with a View (CView) is an interactive multimedia environment designed to provide students with opportunities to observe, discuss, and analyze classroom practice in a mediated environment in which students work in pairs exploring a database of videotaped mathematics and science lessons. CView was designed using a description of the…

  10. Exploring the Reasons for Using Electric Books and Technologic Pedagogical and Content Knowledge of Taiwanese Elementary Mathematics and Science Teachers

    ERIC Educational Resources Information Center

    Chen, Ho-Yuan; Jang, Syh-Jong

    2013-01-01

    This study highlights trends and features of E-books and their versatility of this tool in elementary educational settings. There has been little quantitative research employed to examine teachers' reasons for using or not using E-books. The purpose of this study was to examine elementary school mathematics and science teachers' reasons…

  11. Flexible Conceptions of Perspectives and Representations: An Examination of Pre-Service Mathematics Teachers' Knowledge

    ERIC Educational Resources Information Center

    Bannister, Vanessa R. Pitts

    2014-01-01

    The concept of multiple representations of functions and the ability to make translations among representations are important topics in secondary school mathematics curricula (Moschkovich, Schoenfeld, & Arcavi, 1993; NCTM, 2000). Research related to students in this domain is fruitful, while research related to teachers is underdeveloped. This…

  12. Does Prior Mathematics Knowledge Really Lead to Variation in Elementary Statistics Performance?: Evidence from a Developing Country

    ERIC Educational Resources Information Center

    Woodward, George; Galagedera, Don

    2006-01-01

    A model incorporating prerequisite mathematics performance and other variables deemed to be associated with learning elementary statistics (ES) is developed. The relationship between ES performance and the explanatory variables is well represented by the logistics form. Aptitude, effort and motivation are the only significant explanatory variables…

  13. Knowledge brokerage - potential for increased capacities and shared power in impact assessment

    SciTech Connect

    Rosario Partidario, Maria; Sheate, William R.

    2013-02-15

    Constructive and collaborative planning theory has exposed the perceived limitations of public participation in impact assessment. At strategic levels of assessment the established norm can be misleading and practice is illusive. For example, debates on SEA effectiveness recognize insufficiencies, but are often based on questionable premises. The authors of this paper argue that public participation in strategic assessment requires new forms of information and engagement, consistent with the complexity of the issues at these levels and that strategic assessments can act as knowledge brokerage instruments with the potential to generate more participative environments and attitudes. The paper explores barriers and limitations, as well as the role of knowledge brokerage in stimulating the engagement of the public, through learning-oriented processes and responsibility sharing in more participative models of governance. The paper concludes with a discussion on building and inter-change of knowledge, towards creative solutions to identified problems, stimulating learning processes, largely beyond simple information transfer mechanisms through consultative processes. The paper argues fundamentally for the need to conceive strategic assessments as learning platforms and design knowledge brokerage opportunities explicitly as a means to enhance learning processes and power sharing in IA. - Highlights: Black-Right-Pointing-Pointer Debates on SEA recognize insufficiencies on public participation Black-Right-Pointing-Pointer We propose new forms of engagement consistent with complex situations at strategic levels of decision-making Black-Right-Pointing-Pointer Constructive and collaborative planning theories help explain how different actors acquire knowledge and the value of knowledge exchange Black-Right-Pointing-Pointer Strategic assessments can act as knowledge brokerage instruments Black-Right-Pointing-Pointer The paper argues for strategic assessments as learning

  14. Elder abuse and oral health care providers: an intervention to increase knowledge and self-perceived likelihood to report.

    PubMed

    Sugita, Julie A; Garrett, Mario D

    2012-01-01

    The objective of this study was to ascertain whether a symposium on elder abuse raises the level of knowledge and the self-reported likelihood to report elder abuse among licensed oral health care providers. 130 dentists, hygienists, and assistants voluntarily attended a 4-hour training symposium and completed both pre- and postsurveys testing their level of knowledge. Results by statistical analyses, using repeated measurements, Wilcoxon signed-rank test for nonparametric data, showed increases in awareness of reporting process, knowledge/awareness of elder abuse, knowledge of mandated reporter requirements, and comfort levels with recognizing signs and symptoms of elder abuse and neglect. In conclusion, a symposium can increase the self-reported likelihood of reporting elder abuse.

  15. On the Pregnance of Bodily Movement and Geometrical Objects: A Post-Constructivist Account of the Origin of Mathematical Knowledge

    ERIC Educational Resources Information Center

    Roth, Wolff-Michael

    2014-01-01

    Traditional (e.g., constructivist) accounts of knowledge ground its origin in the "intentional construction" on the part of the learner. Such accounts are blind to the fact that learners, by the fact that they do not know the knowledge to be learned, cannot orient toward it as an object to be constructed. In this study, I provide a…

  16. Relationship between Teacher Knowledge of Concepts and Connections, Teaching Practice, and Student Achievement in Middle Grades Mathematics

    ERIC Educational Resources Information Center

    Tchoshanov, Mourat A.

    2011-01-01

    The mixed method sequential nested study examines whether and how the cognitive type of teachers' content knowledge is associated with student achievement, and correlated with teaching practice. In the context of this study, the "cognitive type" refers to the kind of teacher content knowledge and thinking processes required to accomplish a task…

  17. Students' Satisfaction with an Undergraduate Primary Education Teaching Practicum Design on Developing Technological, Pedagogical and Mathematical Knowledge

    NASA Astrophysics Data System (ADS)

    Doukakis, Spyros; Koilias, Christos; Chionidou-Moskofoglou, Maria

    During the 2008-2009 spring semester, 25 fourth-year undergraduate primary teachers attended the compulsory course "Teaching Mathematics-Practicum Phase". The course was organised so as to incorporate ICT and special mathematical scenarios in the teaching approaches of undergraduate primary teachers. This article presents course satisfaction of participants as found in the research study. A set of powerful ordinal regression methods has been applied on a survey database. The most important results focus on the determination of the course's weak and strong points, according to the MUSA methodology. The results show a high satisfaction level from the course. The global satisfaction level reaches 98% whereas partial (per criterion) satisfaction levels range from 90% to 97%, the lowest rate corresponding to the theoretical component of the course. The findings raise a number of research questions regarding ICT integration in undergraduate primary teachers' teaching practice.

  18. Increasing the Application of Developmental Sciences Knowledge in Educator Preparation: Policy Issues and Recommendations

    ERIC Educational Resources Information Center

    Pianta, Robert C.; Hitz, Randy; West, Blake

    2010-01-01

    This is the second of two reports commissioned by the National Council for the Accreditation of Teacher Education (NCATE) intended to address the dire need for teacher preparation policy and programs to reflect recent advances in scientific knowledge of child and adolescent development. In the first report, "Principles and Exemplars for…

  19. Effects of Increased Parental Knowledge of Development of Children with Disabilities

    ERIC Educational Resources Information Center

    Susman, Louisa

    2012-01-01

    This research addresses the link between parental competence, specifically the characteristic of parental knowledge, and its influence on their child with a disability's participation in age-appropriate activities through their influence on the physical and social home environment. This study examined pathways through which parents mediate…

  20. Changing College Students' Conceptions of Autism: An Online Training to Increase Knowledge and Decrease Stigma

    ERIC Educational Resources Information Center

    Gillespie-Lynch, Kristen; Brooks, Patricia J.; Someki, Fumio; Obeid, Rita; Shane-Simpson, Christina; Kapp, Steven K.; Daou, Nidal; Smith, David Shane

    2015-01-01

    College students with autism may be negatively impacted by lack of understanding about autism on college campuses. Thus, we developed an online training to improve knowledge and decrease stigma associated with autism among college students. Participants (N = 365) completed a pre-test, online training, and post-test. Women reported lower stigma…

  1. An e-health intervention for increasing diabetes knowledge in African Americans.

    PubMed

    Moussa, Mahaman; Sherrod, Dennis; Choi, Jeungok

    2013-09-01

    An evidence-based e-health program, eCare We Care, was developed to disseminate information on diabetes management through web-based interactive tutorials. This study examined the effect of the eCare We Care program on diabetes knowledge development in African American adults with low diabetes literacy. Forty-six African American adults with type 1 or type 2 diabetes and low diabetes literacy were recruited from two health-care centres in eastern Winston Salem, North Carolina. The eCare We Care program included four weekly sessions: introduction to diabetes; eye complications; foot care; and meal planning. Significant differences in scores on the diabetes knowledge survey were demonstrated between the eCare We Care program participants and the comparison group. Study findings indicate the eCare We Care program is more effective in improving diabetes knowledge of African American adults with low diabetes literacy than paper-based, text-only tutorials. The eCare We Care program can be an effective educational strategy for improving diabetes knowledge and decreasing diabetes disparities among African American adults.

  2. Importance of Health-Related Fitness Knowledge to Increasing Physical Activity and Physical Fitness

    ERIC Educational Resources Information Center

    Ferkel, Rick C.; Judge, Lawrence W.; Stodden, David F.; Griffin, Kent

    2014-01-01

    Physical inactivity is expanding across all ages in the United States. Research has documented a deficiency in health-related fitness knowledge (HRFK) among elementary- through college-aged students. The need for a credible and reliable resource that provides research-based information regarding the importance of HRFK is significant. The purpose…

  3. A community effort towards a knowledge-base and mathematical model of the human pathogen Salmonella Typhimurium LT2

    Technology Transfer Automated Retrieval System (TEKTRAN)

    Metabolic reconstructions (MRs) are common denominators in systems biology and represent biochemical, genetic, and genomic (BiGG) knowledge-bases for target organisms by capturing currently available information in a consistent, structured manner. Salmonella enterica subspecies I serovar Typhimurium...

  4. Multiple aspects of self-regulation uniquely predict mathematics but not letter-word knowledge in the early elementary grades.

    PubMed

    Blair, Clancy; Ursache, Alexandra; Greenberg, Mark; Vernon-Feagans, Lynne

    2015-04-01

    The relation of self-regulation measured prior to school entry to developing math and reading ability in prekindergarten through the second grade was examined in a prospective longitudinal sample of 1,292 children and families in predominantly rural and low-income communities in 2 regions of high poverty in the United States. Direct assessments of executive function, effortful control, and stress response physiology (indexed by resting levels of cortisol and alpha amylase obtained from saliva) were measured at child age 48 months and parents and teachers reported on children's effortful control using temperament rating scales at child age approximately 60 months. Math and reading ability, as measured by the Woodcock-Johnson III applied problems and letter-word subtests, respectively, were measured at prekindergarten through the second grade. Effects for self-regulation measures were seen primarily for initial level and to some extent growth in both mathematics and reading, even when controlling for family demographic characteristics that represent relevant selection factors into higher levels of both self-regulation and academic achievement. These effects persisted for mathematics but not for reading with the inclusion of child cognitive abilities, vocabulary, and speed of processing measured in prekindergarten, concurrent with the first time point for the academic measures. Results are interpreted as indicating a role for self-regulation in learning ability generally, likely through support for attention and reasoning abilities that are most specific to the assessment of mathematics in this analysis. Implications for instruction and for assessment and the best ways to support the development of early math and reading ability for children at risk for school failure are discussed. PMID:25688999

  5. Multiple aspects of self-regulation uniquely predict mathematics but not letter-word knowledge in the early elementary grades.

    PubMed

    Blair, Clancy; Ursache, Alexandra; Greenberg, Mark; Vernon-Feagans, Lynne

    2015-04-01

    The relation of self-regulation measured prior to school entry to developing math and reading ability in prekindergarten through the second grade was examined in a prospective longitudinal sample of 1,292 children and families in predominantly rural and low-income communities in 2 regions of high poverty in the United States. Direct assessments of executive function, effortful control, and stress response physiology (indexed by resting levels of cortisol and alpha amylase obtained from saliva) were measured at child age 48 months and parents and teachers reported on children's effortful control using temperament rating scales at child age approximately 60 months. Math and reading ability, as measured by the Woodcock-Johnson III applied problems and letter-word subtests, respectively, were measured at prekindergarten through the second grade. Effects for self-regulation measures were seen primarily for initial level and to some extent growth in both mathematics and reading, even when controlling for family demographic characteristics that represent relevant selection factors into higher levels of both self-regulation and academic achievement. These effects persisted for mathematics but not for reading with the inclusion of child cognitive abilities, vocabulary, and speed of processing measured in prekindergarten, concurrent with the first time point for the academic measures. Results are interpreted as indicating a role for self-regulation in learning ability generally, likely through support for attention and reasoning abilities that are most specific to the assessment of mathematics in this analysis. Implications for instruction and for assessment and the best ways to support the development of early math and reading ability for children at risk for school failure are discussed.

  6. Increasing Cervical Cancer and Human Papillomavirus Prevention Knowledge and HPV Vaccine Uptake through Mother/Daughter Education.

    PubMed

    Obulaney, Patricia A; Gilliland, Irene; Cassells, Holly

    2016-01-01

    This evidence-based initiative assessed the impact of language-appropriate cervical cancer and human papillomavirus (HPV) prevention education on knowledge level and HPV vaccine uptake among mothers and their daughters. Forty-one mother/daughter dyads from a low-cost, faith-based clinic for the uninsured in southeastern Texas participated in the nurse practitioner-led cervical cancer prevention educational sessions. Spanish was the primary language for the majority of participating mothers. The project produced appreciable knowledge increase and HPV vaccine uptake intent. Aggregate HPV vaccine uptake numbers for the clinic increased considerably compared to HPV vaccine administration prior to educational intervention. PMID:26813054

  7. Creating knowledge structures in the pharmaceutical industry: the increasing significance of virtual organisation.

    PubMed

    Salazar, A; Howells, J

    2000-01-01

    This paper explores the specific trend and challenges facing the pharmaceutical industry regarding the exploitation of Internet e-commerce technology and virtual organisation to develop and maintain competitive advantage. There are two important facets of the current trend. One is the rapid development of a complex network of alliances between the established pharmaceutical companies and the specialised biotechnology company start-ups. The other is the rapid growth of internet e-commerce companies dedicated to developing specialised technological platforms for acquiring and selling genetic and biochemical knowledge. The underlying challenge is how big pharmaceutical companies can emulate some of the innovation processes of smaller biotechnology company start-ups, and how they can appropriate and applied new technological knowledge on the development of new drugs. Pharmaceutical companies in order to retain competitive advantage need to continuously monitor all aspects of knowledge management with regard to the R&D and manufacturing process (as well as customer management and marketing). Technological change and organisational restructuring should be aimed at boosting the capacity of large firms to innovate rapidly. PMID:11214458

  8. Creating knowledge structures in the pharmaceutical industry: the increasing significance of virtual organisation.

    PubMed

    Salazar, A; Howells, J

    2000-01-01

    This paper explores the specific trend and challenges facing the pharmaceutical industry regarding the exploitation of Internet e-commerce technology and virtual organisation to develop and maintain competitive advantage. There are two important facets of the current trend. One is the rapid development of a complex network of alliances between the established pharmaceutical companies and the specialised biotechnology company start-ups. The other is the rapid growth of internet e-commerce companies dedicated to developing specialised technological platforms for acquiring and selling genetic and biochemical knowledge. The underlying challenge is how big pharmaceutical companies can emulate some of the innovation processes of smaller biotechnology company start-ups, and how they can appropriate and applied new technological knowledge on the development of new drugs. Pharmaceutical companies in order to retain competitive advantage need to continuously monitor all aspects of knowledge management with regard to the R&D and manufacturing process (as well as customer management and marketing). Technological change and organisational restructuring should be aimed at boosting the capacity of large firms to innovate rapidly.

  9. DUF1220 copy number is linearly associated with increased cognitive function as measured by total IQ and mathematical aptitude scores.

    PubMed

    Davis, Jonathon M; Searles, Veronica B; Anderson, Nathan; Keeney, Jonathon; Raznahan, Armin; Horwood, L John; Fergusson, David M; Kennedy, Martin A; Giedd, Jay; Sikela, James M

    2015-01-01

    DUF1220 protein domains exhibit the greatest human lineage-specific copy number expansion of any protein-coding sequence in the genome, and variation in DUF1220 copy number has been linked to both brain size in humans and brain evolution among primates. Given these findings, we examined associations between DUF1220 subtypes CON1 and CON2 and cognitive aptitude. We identified a linear association between CON2 copy number and cognitive function in two independent populations of European descent. In North American males, an increase in CON2 copy number corresponded with an increase in WISC IQ (R (2) = 0.13, p = 0.02), which may be driven by males aged 6-11 (R (2) = 0.42, p = 0.003). We utilized ddPCR in a subset as a confirmatory measurement. This group had 26-33 copies of CON2 with a mean of 29, and each copy increase of CON2 was associated with a 3.3-point increase in WISC IQ (R (2) = 0.22, p = 0.045). In individuals from New Zealand, an increase in CON2 copy number was associated with an increase in math aptitude ability (R (2) = 0.10 p = 0.018). These were not confounded by brain size. To our knowledge, this is the first study to report a replicated association between copy number of a gene coding sequence and cognitive aptitude. Remarkably, dosage variations involving DUF1220 sequences have now been linked to human brain expansion, autism severity and cognitive aptitude, suggesting that such processes may be genetically and mechanistically inter-related. The findings presented here warrant expanded investigations in larger, well-characterized cohorts.

  10. DUF1220 copy number is linearly associated with increased cognitive function as measured by total IQ and mathematical aptitude scores.

    PubMed

    Davis, Jonathon M; Searles, Veronica B; Anderson, Nathan; Keeney, Jonathon; Raznahan, Armin; Horwood, L John; Fergusson, David M; Kennedy, Martin A; Giedd, Jay; Sikela, James M

    2015-01-01

    DUF1220 protein domains exhibit the greatest human lineage-specific copy number expansion of any protein-coding sequence in the genome, and variation in DUF1220 copy number has been linked to both brain size in humans and brain evolution among primates. Given these findings, we examined associations between DUF1220 subtypes CON1 and CON2 and cognitive aptitude. We identified a linear association between CON2 copy number and cognitive function in two independent populations of European descent. In North American males, an increase in CON2 copy number corresponded with an increase in WISC IQ (R (2) = 0.13, p = 0.02), which may be driven by males aged 6-11 (R (2) = 0.42, p = 0.003). We utilized ddPCR in a subset as a confirmatory measurement. This group had 26-33 copies of CON2 with a mean of 29, and each copy increase of CON2 was associated with a 3.3-point increase in WISC IQ (R (2) = 0.22, p = 0.045). In individuals from New Zealand, an increase in CON2 copy number was associated with an increase in math aptitude ability (R (2) = 0.10 p = 0.018). These were not confounded by brain size. To our knowledge, this is the first study to report a replicated association between copy number of a gene coding sequence and cognitive aptitude. Remarkably, dosage variations involving DUF1220 sequences have now been linked to human brain expansion, autism severity and cognitive aptitude, suggesting that such processes may be genetically and mechanistically inter-related. The findings presented here warrant expanded investigations in larger, well-characterized cohorts. PMID:25287832

  11. A Panel Analysis of Student Mathematics Achievement in the US in the 1990s: Does Increasing the Amount of Time in Learning Activities Affect Math Achievement?

    ERIC Educational Resources Information Center

    Aksoy, Tevfik; Link, Charles R.

    2000-01-01

    Uses panel estimation techniques to estimate econometric models of mathematics achievement determinants for a nationally representative sample of high-school students. Extra time spent on math homework increases test scores; an extra hour of TV viewing negatively affects scores. Longer math periods also help. (Contains 56 references.) (MLH)

  12. How to Inform: Comparing Written and Video Education Interventions to Increase Human Papillomavirus Knowledge and Vaccination Intentions in Young Adults

    ERIC Educational Resources Information Center

    Krawczyk, Andrea; Lau, Elsa; Perez, Samara; Delisle, Vanessa; Amsel, Rhonda; Rosberger, Zeev

    2012-01-01

    Objective: To compare the efficacy of 2 human papillomavirus (HPV) educational interventions on increasing HPV knowledge and vaccination intentions in college students. Participants: Male (n = 60) and female (n = 140) undergraduates (M[subscript age] = 20.4, SD = 2.3) recruited from a university in Montreal, Quebec, Canada, from October 2009 to…

  13. Increasing Parent Involvement Knowledge and Strategies at the Preservice Level: The Power in Using a Systematic Professional Development Approach

    ERIC Educational Resources Information Center

    Ferrara, Margaret M.

    2009-01-01

    This study describes various strategies used by a university educator to integrate parent involvement curriculum into pre-existing teacher preparation courses. This curriculum infusion was not only effective in increasing preservice teacher knowledge but also in raising course instructors' level of awareness about the importance and necessity of…

  14. Harnessing Visual Media in Environmental Education: Increasing Knowledge of Orangutan Conservation Issues and Facilitating Sustainable Behaviour through Video Presentations

    ERIC Educational Resources Information Center

    Pearson, Elissa; Dorrian, Jillian; Litchfield, Carla

    2011-01-01

    Many animals are currently facing extinction. Conservation education which highlights the impacts of our behaviour on other species survival is crucial. This study provides evidence for the use of visual media to increase knowledge, attitudes and conservation behaviours regarding the highly endangered orangutan. University students (n = 126) were…

  15. A Randomized Intervention Study to Evaluate Whether Electronic Messaging Can Increase Human Papillomavirus Vaccine Completion and Knowledge among College Students

    ERIC Educational Resources Information Center

    Richman, Alice R.; Maddy, LaDonna; Torres, Essie; Goldberg, Ellen J.

    2016-01-01

    Objective: To evaluate an intervention aimed at increasing human papillomavirus (HPV) vaccine completion of the 3-dose series and knowledge. Participants: Two hundred sixty-four male and female US college students 18-26 years old who were receiving HPV vaccine dose 1. Methods: Students were randomly assigned to the intervention or control group.…

  16. Mathematics Case Methods Project.

    ERIC Educational Resources Information Center

    Barnett, Carne S.

    1998-01-01

    Presents an overview and analysis of the Mathematics Case Methods Project, which uses cases in order to examine and reflect upon teaching. Focuses on a special kind of teacher knowledge, coined pedagogical-content knowledge. (ASK)

  17. A Study on Prospective Science Teachers' Knowledge and Achievement Levels in Mathematical Logic in Electricity-Related Subjects

    ERIC Educational Resources Information Center

    Yilmaz, Ismail

    2012-01-01

    The purpose of this case study is to reveal prospective science teachers' knowledge and achievement levels in electricity-related subjects. The data for the study were collected from 44 prospective teachers using three measurement tools. The data were then analyzed using software developed for the Probability and Possibility Calculation Statistics…

  18. Pearson's Correlation between Three Variables; Using Students' Basic Knowledge of Geometry for an Exercise in Mathematical Statistics

    ERIC Educational Resources Information Center

    Vos, Pauline

    2009-01-01

    When studying correlations, how do the three bivariate correlation coefficients between three variables relate? After transforming Pearson's correlation coefficient r into a Euclidean distance, undergraduate students can tackle this problem using their secondary school knowledge of geometry (Pythagoras' theorem and similarity of triangles).…

  19. Transforming Science and Mathematics Teachers' Technological Pedagogical Content Knowledge Using a Learning Trajectory Instructional Approach

    ERIC Educational Resources Information Center

    Niess, Margaret; Gillow-Wiles, Henry

    2014-01-01

    This study examined the influence of a researcher-conjectured learning trajectory instructional approach toward the enhancement of teachers' technological pedagogical content knowledge (TPACK). The study provides a rich description of how a learning trajectory, situated within a "social metacognitive-constructivist" instructional…

  20. Effects on the Technological Pedagogical Content Knowledge of Early Childhood Teacher Candidates Using Digital Storytelling to Teach Mathematics

    ERIC Educational Resources Information Center

    Kildan, Abdullah Oguzhan; Incikabi, Lutfi

    2015-01-01

    This study aimed to present early childhood teacher candidates' experiences preparing digital stories and to reveal the resulting changes, if any, in self-reported technological pedagogical content knowledge (TPACK). This study was quasi-experimental and indicated that teacher candidates' evaluations of digital storytelling were affected by their…

  1. Translations toward Connected Mathematics

    ERIC Educational Resources Information Center

    Applebaum, Mark; Leikin, Roza

    2010-01-01

    The translation principle allows students to solve problems in different branches of mathematics and thus to develop connectedness in their mathematical knowledge. Successful application of the translation principle depends on the classroom mathematical norms for the development of discussions and the comparison of different solutions to one…

  2. Mathematical Epistemologies at Work.

    ERIC Educational Resources Information Center

    Noss, Richard

    In this paper, I draw together a corpus of findings derived from two sources: studies of students using computers to learn mathematics, and research into the use of mathematics in professional practice. Using this as a basis, I map some elements of a theoretical framework for understanding the nature of mathematical knowledge in use, and how it is…

  3. A domain-knowledge-inspired mathematical framework for the description and classification of H&E stained histopathology images

    NASA Astrophysics Data System (ADS)

    Massar, Melody L.; Bhagavatula, Ramamurthy; Ozolek, John A.; Castro, Carlos A.; Fickus, Matthew; Kovacevic, Jelena

    2011-09-01

    We present the current state of our work on a mathematical framework for identification and delineation of histopathology images-local histograms and occlusion models. Local histograms are histograms computed over defined spatial neighborhoods whose purpose is to characterize an image locally. This unit of description is augmented by our occlusion models that describe a methodology for image formation. In the context of this image formation model, the power of local histograms with respect to appropriate families of images will be shown through various proved statements about expected performance. We conclude by presenting a preliminary study to demonstrate the power of the framework in the context of histopathology image classification tasks that, while differing greatly in application, both originate from what is considered an appropriate class of images for this framework.

  4. A Case for Increased Training in the Nemeth Code of Braille Mathematics for Teachers of Students Who Are Visually Impaired.

    ERIC Educational Resources Information Center

    Kapperman, Gaylen; Sticken, Jodi

    2003-01-01

    This article discusses the lack of preparation teachers of students with visual impairments have in the Nemeth Code (the Braille code for mathematics). It then describes a Windows-based tutorial for sighted persons to learn the Nemeth Code, a tutorial for teachers with blindness, and how to access the tutorials. (Contains 10 references.) (CR)

  5. Code RED (Remediation and Enrichment Days): The Complex Journey of a School and University Partnership's Process to Increase Mathematics Achievement

    ERIC Educational Resources Information Center

    Moyer, Patricia S.; Dockery, Kim; Jamieson, Spencer; Ross, Julie

    2007-01-01

    This study examined a focused remediation and enrichment effort among school and university faculty to affect the mathematics achievement of a group of third-grade students in a Title I elementary school. A total of 87 students participated in the Code RED (Remediation and Enrichment Days) Project. During the Code RED Project, student assessment…

  6. Effectiveness of Geosciences Exploration Summer Program (GeoX) for Increasing Awareness and Knowledge of Geosciences

    ERIC Educational Resources Information Center

    Houser, Chris; Garcia, Sonia; Torres, Janet

    2015-01-01

    Summer research experiences are an increasingly popular means of increasing awareness of, and developing interest in, the geosciences and other science, technology, engineering, and math programs. We describe and report the preliminary results of a 1-wk Geosciences Exploration Summer Program in the College of Geosciences at Texas A&M…

  7. Classroom Experience about Cartooning as Assessment in Pre-Service Mathematics Content Course

    ERIC Educational Resources Information Center

    Cho, Hoyun; Osborne, Carolyn; Sanders, Tobie

    2015-01-01

    Elementary Education pre-service teachers are noted for disliking and even fearing mathematics, so a teaching strategy that increases their enjoyment of mathematics learning must be a powerful one, indeed. When the same strategy can also support problem posing and assess mathematical knowledge and reasoning, providing an occasional alternative to…

  8. Increased knowledge of Francisella genus diversity highlights the benefits of optimised DNA-based assays

    PubMed Central

    2012-01-01

    Background Recent advances in sequencing technologies offer promising tools for generating large numbers of genomes, larger typing databases and improved mapping of environmental bacterial diversity. However, DNA-based methods for the detection of Francisella were developed with limited knowledge about genetic diversity. This, together with the high sequence identity between several Francisella species, means there is a high risk of false identification and detection of the highly virulent pathogen Francisella tularensis. Moreover, phylogenetic reconstructions using single or limited numbers of marker sequences often result in incorrect tree topologies and inferred evolutionary distances. The recent growth in publicly accessible whole-genome sequences now allows evaluation of published genetic markers to determine optimal combinations of markers that minimise both time and laboratory costs. Results In the present study, we evaluated 38 previously published DNA markers and the corresponding PCR primers against 42 genomes representing the currently known diversity of the genus Francisella. The results highlight that PCR assays for Francisella tularensis are often complicated by low specificity, resulting in a high probability of false positives. A method to select a set of one to seven markers for obtaining optimal phylogenetic resolution or diagnostic accuracy is presented. Conclusions Current multiple-locus sequence-typing systems and detection assays of Francisella, could be improved by redesigning some of the primers and reselecting typing markers. The use of only a few optimally selected sequence-typing markers allows construction of phylogenetic topologies with almost the same accuracy as topologies based on whole-genome sequences. PMID:23009728

  9. Knowledge of risk management strategies, and information and risk management preferences of women at increased risk for ovarian cancer.

    PubMed

    Tiller, K; Meiser, B; Gould, L; Tucker, K; Dudding, T; Franklin, J; Friedlander, M; Andrews, L

    2005-04-01

    Little research is available on the level of knowledge about ovarian cancer risk management options in women at increased risk for this disease. The study objectives were to evaluate this together with the information and ovarian cancer risk management preferences of high-risk women. One hundred and twenty-nine women were assessed after their attendance at one of six familial cancer clinics in relation to knowledge of surveillance and/or preventative strategies for reduction of ovarian cancer risk, preferences for particular strategies, and information preferences. Screening was selected by 57 (44%) women as the preferred risk management option. One hundred and five women (82%) indicated a wish for as much information as possible about ovarian cancer, including both good and bad outcomes and 114 (89%) reported a preference for sharing treatment decisions with their health professional. Participants' knowledge about ovarian cancer risk management options was significantly associated with educational levels (Z = -3.2, p=0.001) and whether or not ovarian cancer was included in the family history (Z = -2.3, p = 0.018). Findings from this present study indicate that women at increased risk of ovarian cancer who attend familial cancer clinics want as much information as possible about this disease and they want to be involved in the decision-making process. Women who reported a lower level of education (no post-school qualifications) may be most likely to benefit from additional educational strategies designed to supplement genetic counseling to improve their knowledge levels.

  10. Association between Knowledge about Comprehensive Food Education and Increase in Dental Caries in Japanese University Students: A Prospective Cohort Study

    PubMed Central

    Kunitomo, Muneyoshi; Ekuni, Daisuke; Mizutani, Shinsuke; Tomofuji, Takaaki; Irie, Koichiro; Azuma, Tetsuji; Yamane, Mayu; Kataoka, Kota; Taniguchi-Tabata, Ayano; Mizuno, Hirofumi; Miyai, Hisataka; Iwasaki, Yoshiaki; Morita, Manabu

    2016-01-01

    In Japan, comprehensive food education (shokuiku) programs are carried out with the aim of improving dietary practices and thereby reducing the incidence of lifestyle-related diseases, including dental caries. The purpose of this prospective cohort study was to investigate the association between knowledge about shokuiku and the increase in dental caries among Japanese university students who had attended a shokuiku program while in junior/senior high school. A total of 562 students volunteered to undergo oral examinations over a three-year follow-up period, during which the number of cases of dental caries were recorded. Additional information was collected using a questionnaire survey regarding knowledge about shokuiku, dietary habits, and oral health behaviors. In logistic regression analysis, males who lacked knowledge about shokuiku had significantly higher odds for dental caries than those who did not (odds ratio (OR), 2.00; 95% confidence interval (CI), 1.12–3.58; p = 0.019). On the other hand, among females, those who frequently consumed sugar-sweetened soft drinks had significantly higher odds for dental caries than those who did not (OR, 1.89; 95% CI, 1.05–3.42; p = 0.035). These results suggest that having no knowledge about shokuiku is associated with a risk of increase in dental caries in Japanese male university students. PMID:26927163

  11. Association between Knowledge about Comprehensive Food Education and Increase in Dental Caries in Japanese University Students: A Prospective Cohort Study.

    PubMed

    Kunitomo, Muneyoshi; Ekuni, Daisuke; Mizutani, Shinsuke; Tomofuji, Takaaki; Irie, Koichiro; Azuma, Tetsuji; Yamane, Mayu; Kataoka, Kota; Taniguchi-Tabata, Ayano; Mizuno, Hirofumi; Miyai, Hisataka; Iwasaki, Yoshiaki; Morita, Manabu

    2016-03-01

    In Japan, comprehensive food education (shokuiku) programs are carried out with the aim of improving dietary practices and thereby reducing the incidence of lifestyle-related diseases, including dental caries. The purpose of this prospective cohort study was to investigate the association between knowledge about shokuiku and the increase in dental caries among Japanese university students who had attended a shokuiku program while in junior/senior high school. A total of 562 students volunteered to undergo oral examinations over a three-year follow-up period, during which the number of cases of dental caries were recorded. Additional information was collected using a questionnaire survey regarding knowledge about shokuiku, dietary habits, and oral health behaviors. In logistic regression analysis, males who lacked knowledge about shokuiku had significantly higher odds for dental caries than those who did not (odds ratio (OR), 2.00; 95% confidence interval (CI), 1.12-3.58; p = 0.019). On the other hand, among females, those who frequently consumed sugar-sweetened soft drinks had significantly higher odds for dental caries than those who did not (OR, 1.89; 95% CI, 1.05-3.42; p = 0.035). These results suggest that having no knowledge about shokuiku is associated with a risk of increase in dental caries in Japanese male university students. PMID:26927163

  12. Single Point Incremental Forming to increase material knowledge and production flexibility

    NASA Astrophysics Data System (ADS)

    Habraken, A. M.

    2016-08-01

    listed however the lecture will be more focused on the use of SPIF to identify material parameters of well-chosen constitutive law. Results of FE simulations with damage models will be investigated to better understand the relation between the particular stress and strain states in the material during SPIF and the material degradation leading to localization or fracture. Last but not least, as industrial world does not wait that academic scientists provide a deep and total understanding on how it works, to use interesting processes, the lecture will review some applications. Examples in fields as different as automotive guard, engine heat shield, gas turbine, electronic sensor, shower basin, medical component (patient-fitted organic shapes) and architecture demonstrate that the integration of SPIF within the industry is more and more a reality. Note that this plenary lecture is the result of the research performed by the author in the University of Liege (Belgium) and in Aveiro (Portugal) with the team of R. de Souza during PhD theses of C. Henrard, J. Sena and C. Guzman and different research projects. It is also a synthesis of the knowledge gathered during her interactions with many research teams such as the ones of J.R. Duflou from KU Leuven in Belgium, J. Cao from Northwestern University in USA, M. Bambach in BTU Cottbus-Senftenberg in Germany, J. Jeswiet from Queen's University, Kingston, Canada who are currently working together on a state-of-the-art paper. The micro SPIF knowledge relies on contacts with S. Thibaud from the University of Franche Comte.

  13. Meyerhoff Scholars Program: a strengths-based, institution-wide approach to increasing diversity in science, technology, engineering, and mathematics.

    PubMed

    Maton, Kenneth I; Pollard, Shauna A; McDougall Weise, Tatiana V; Hrabowski, Freeman A

    2012-01-01

    The Meyerhoff Scholars Program at the University of Maryland, Baltimore County is widely viewed as a national model of a program that enhances the number of underrepresented minority students who pursue science, technology, engineering, and mathematics PhDs. The current article provides an overview of the program and the institution-wide change process that led to its development, as well as a summary of key outcome and process evaluation research findings. African American Meyerhoff students are 5× more likely than comparison students to pursue a science, technology, engineering, and mathematics PhD. Program components viewed by the students as most beneficial include financial scholarship, being a part of the Meyerhoff Program community, the Summer Bridge program, study groups, and summer research. Qualitative findings from interviews and focus groups demonstrate the importance of the Meyerhoff Program in creating a sense of belonging and a shared identity, encouraging professional development, and emphasizing the importance of academic skills. Among Meyerhoff students, several precollege and college factors have emerged as predictors of successful entrance into a PhD program in the science, technology, engineering, and mathematics fields, including precollege research excitement, precollege intrinsic math/science motivation, number of summer research experiences during college, and college grade point average. Limitations of the research to date are noted, and directions for future research are proposed.

  14. All Kidding Aside: Humor Increases Learning at Knowledge and Comprehension Levels

    ERIC Educational Resources Information Center

    Hackathorn, Jana; Garczynski, Amy M.; Blankmeyer, Katheryn; Tennial, Rachel D.; Solomon, Erin D.

    2011-01-01

    It has been argued that humor is beneficial in the classroom because it increases social bonding between instructor and student, salience of information, and ultimately recall and retention. The current study sought to add to the literature by empirically testing some assumptions about humor as a pedagogical tool. Specifically, we predicted that…

  15. Assessment of herbal medicinal products: Challenges, and opportunities to increase the knowledge base for safety assessment

    SciTech Connect

    Jordan, Scott A.; Cunningham, David G.; Marles, Robin J.

    2010-03-01

    Although herbal medicinal products (HMP) have been perceived by the public as relatively low risk, there has been more recognition of the potential risks associated with this type of product as the use of HMPs increases. Potential harm can occur via inherent toxicity of herbs, as well as from contamination, adulteration, plant misidentification, and interactions with other herbal products or pharmaceutical drugs. Regulatory safety assessment for HMPs relies on both the assessment of cases of adverse reactions and the review of published toxicity information. However, the conduct of such an integrated investigation has many challenges in terms of the quantity and quality of information. Adverse reactions are under-reported, product quality may be less than ideal, herbs have a complex composition and there is lack of information on the toxicity of medicinal herbs or their constituents. Nevertheless, opportunities exist to capitalise on newer information to increase the current body of scientific evidence. Novel sources of information are reviewed, such as the use of poison control data to augment adverse reaction information from national pharmacovigilance databases, and the use of more recent toxicological assessment techniques such as predictive toxicology and omics. The integration of all available information can reduce the uncertainty in decision making with respect to herbal medicinal products. The example of Aristolochia and aristolochic acids is used to highlight the challenges related to safety assessment, and the opportunities that exist to more accurately elucidate the toxicity of herbal medicines.

  16. Increasing HIV-related knowledge, communication, and testing intentions among Latinos: Protege tu Familia: Hazte la Prueba.

    PubMed

    Rios-Ellis, Britt; Espinoza, Lilia; Bird, Mara; Garcia, Melawhy; D'Anna, Laura Hoyt; Bellamy, Laura; Scolari, Rosana

    2010-08-01

    Latinos are less likely to be aware of their HIV seropositivity than African Americans and Whites. 'Protege tu Familia: Hazte la Prueba' is a culturally and linguistically-sensitive HIV/AIDS prevention and testing program targeting Latino families. Using community-based participatory research techniques, Spanish-speaking bicultural community health workers helped develop and then used an educational flip chart and materials to conduct outreach and HIV prevention education in diverse settings. The intervention was created to increase HIV/AIDS-related knowledge, to improve communication regarding sexual risk, and to augment intentions to use condoms and test for HIV. A secondary purpose was to decrease HIV-related stigma by improving knowledge about transmission and reducing homophobia. Participants demonstrated significant increases in HIV knowledge, intention to practice safer sex and communicate sexual risk to partner(s), and intention to test for HIV. Improvements were also found in self-reported comfort levels when interacting with and caring for the HIV positive, thus decreasing HIV/AIDS-related stigma.

  17. Strategies for increasing student knowledge and understanding about conflict minerals in a mineralogy class

    NASA Astrophysics Data System (ADS)

    Cook, G. W.

    2014-12-01

    Conflict minerals, including their uses and methods of extraction, are associated with significant societal and environmental issues in today's world. Minerals such as columbite-tantalite (also referred to as COLTAN), wolframite, cassiterite and gold are important in electronics manufacturing and have a wide variety of other usages. Mining practices are frequently unsustainable and have significant impacts on the environment; moreover, in many locations, such as the Democratic Republic of the Congo—the epicenter of the conflict mineral trade—major human rights violations are associated with the extraction and production of these minerals. Because conflict minerals represent a relatively new issue, students in geology classes are frequently unfamiliar with the topic and commonly have little understanding of the concerns. In some cases they are completely unaware of the issues. In an introductory mineralogy class at the University of California, San Diego I have introduced a content module into my otherwise traditional curriculum that introduces students to conflict minerals, explains the issues, and delineates the problems our society will face with the continued uses of these natural resources. Most significantly, an assignment has been created and implemented in class that is paired with the content module and is designed to enhance and reinforce student learning. Its goal is to increase awareness of the societal and environmental issues surrounding conflict minerals. Initial results suggest (based on pre and post-tests) that our students have learned significantly from the combination of content, exercise, and assessment and that they are much better informed on the issues of conflict minerals. This model, including the exercise, can be modified and adapted for other introductory classes and learning settings.

  18. A synthesis of our current knowledge of philometrid nematodes, a group of increasingly important fish parasites.

    PubMed

    Moravec, Frantisek; de Buron, Isaure

    2013-05-01

    Members of the Philometridae represent the most important group of dracunculoid nematodes parasitizing fishes. In his monograph treating the Dracunculoidea, Moravec (2006) reported a total of 11 genera and 105 species of philometrids parasitizing freshwater, brackish-water and marine fishes. However, during the last six years (2007-2012), an additional 42 new species of Philometridae have been described, representing a 40% increase of the number of nominal species. Most of these species (30) belong to Philometra Costa, 1845, mainly represented by parasites of marine fishes, a few others (8) to Philometroides Yamaguti, 1935, and a single one to each of the following genera: Caranginema Moravec, Montoya-Mendoza et Salgado-Maldonado, 2008, Dentiphilometra Moravec et Wang, 2002, Dentirumai Quiazon et Moravec, 2013* and Spirophilometra Parukhin, 1971. Moreover, three new genera, Afrophilometra Moravec, Charo-Karisa et Jirků, 2009, Caranginema and Dentirumai, were erected. Representatives of seven genera, Afrophilometra, Buckleyella Rasheed, 1963, Caranginema, Dentiphilometra, Dentirumai, Paraphilometroides Moravec et Shaharom-Harrison, 1989 and Rumai Travassos, 1960, were studied using scanning electron microscopy (SEM) for the first time. Thirteen known but poorly described philometrid species were redescribed and, in some species of Caranginema and Philometra, previously unknown conspecific males were discovered and described. The male surface ultrastructure studied by SEM provided new taxonomically important features for species distinction. Gene sequencing was used in several recent studies and advanced our understanding of phylogenetic interrelationships among representatives of seven genera (Afrophilometra, Alinema Rasheed, 1963, Caranginema, Nilonema Khalil, 1960, Philometra, Philometroides and Rumai) and of the extent of the biodiversity of philometrids. New data were obtained on the biology and pathogenicity of several species of Nilonema, Philometra

  19. Focusing on Teachers' Mathematical Knowledge: The Impact of Content-Intensive Professional Development. Study Snapshot. NCEE 2016-4011

    ERIC Educational Resources Information Center

    Garet, Michael S.; Heppen, Jessica B.; Walters, Kirk; Parkinson, Julia; Smith, Toni M.; Song, Mengli; Garrett, Rachel; Yang, Rui; Borman, Geoffrey D.

    2016-01-01

    Recent results from national and international assessments continue to show a need for improvement in math achievement among U.S. students. For example, 60 per-cent of grade 4 students scored below the proficient level on the 2015 National Assessment of Educational Progress. In an era of increasingly rigorous state standards, teachers at all grade…

  20. Meeting the Demands of the Knowledge Based Economy: Strengthening Undergraduate Science, Mathematics and Engineering Education. Hearing Before the Subcommittee on Research, Committee on Science, House of Representatives, 107th Congress, First Session (March 7, 2002).

    ERIC Educational Resources Information Center

    Congress of the U.S., Washington, DC. House.

    This hearing was held to examine the current state of mathematics, science, and engineering education at the undergraduate level by focusing on the demands of a knowledge-based economy. Contents include opening statements by Representative Nick Smith, Chairman, Subcommittee on Research, Committee in Science, U.S. House of Representatives;…

  1. The Time Is Now: Attention Increases to Transgender Health in the United States but Scientific Knowledge Gaps Remain.

    PubMed

    MacCarthy, Sarah; Reisner, Sari L; Nunn, Amy; Perez-Brumer, Amaya; Operario, Don

    2015-12-01

    Attention to transgender health has dramatically increased in the U.S. Scientific knowledge gaps in empirical research, however, remain and act as barriers to achieving transgender-related health equity. We conducted a search using PubMed and PsycINFO to identify gaps in empirical, peer-reviewed publications related to adult transgender health in the U.S. between 1981 and 2013. We synthesized these findings and commented on opportunities for improving health research. Reducing health disparities and advancing transgender-related health equity requires greater investment in research that addresses current gaps to more comprehensively respond to the diverse health needs of transgender people.

  2. Promoting Social Change through Writing: A Quantitative Study of Research-Based Best Practices in Eighth-Grade Mathematics

    ERIC Educational Resources Information Center

    Bettencourt, Connie Lynn

    2009-01-01

    Studies report that U.S. students rank among the lowest in the area of mathematical knowledge of all industrialized countries. Schools in the United States are producing graduates ill-prepared to be successful at jobs which require mathematical competency. To increase mathematical understanding, this study examined the inclusion of writing in…

  3. The NIST Digital Library of Mathematical Functions

    NASA Astrophysics Data System (ADS)

    Clark, Charles W.

    1998-05-01

    Not updated since its 1964 publication, the Handbook of Mathematical Functions (Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables), ed. M. Abramowitz and I. A. Stegun, National Bureau of Standards Applied Mathematics Series v. 55 (U. S. Government Printing Office, Washington DC, 1964) presents the state of applied mathematics 40 years ago, in a form suited for computation in an age of numerical tables and mechanical calculators. Yet it remains a workhorse reference of AMO physics and of other scientific fields, having been cited in archival literature over 26,000 times since 1974 (at a still-increasing rate). To incorporate subsequent advances in basic mathematical knowledge, in computational power and technique, and in dissemination of information, the National Institute of Standards and Technology has begun a project to provide a modern source of evaluated mathematical reference data: the NIST Digital Library of Mathematical Functions. The Digital Library is designed to serve the needs of users of applied mathematics via the World Wide Web. We shall demonstrate the operation of a prototype, and hope to elicit expressed needs of the AMO community.

  4. Early Engagement in Course-Based Research Increases Graduation Rates and Completion of Science, Engineering, and Mathematics Degrees

    PubMed Central

    Rodenbusch, Stacia E.; Hernandez, Paul R.; Simmons, Sarah L.; Dolan, Erin L.

    2016-01-01

    National efforts to transform undergraduate biology education call for research experiences to be an integral component of learning for all students. Course-based undergraduate research experiences, or CUREs, have been championed for engaging students in research at a scale that is not possible through apprenticeships in faculty research laboratories. Yet there are few if any studies that examine the long-term effects of participating in CUREs on desired student outcomes, such as graduating from college and completing a science, technology, engineering, and mathematics (STEM) major. One CURE program, the Freshman Research Initiative (FRI), has engaged thousands of first-year undergraduates over the past decade. Using propensity score–matching to control for student-level differences, we tested the effect of participating in FRI on students’ probability of graduating with a STEM degree, probability of graduating within 6 yr, and grade point average (GPA) at graduation. Students who completed all three semesters of FRI were significantly more likely than their non-FRI peers to earn a STEM degree and graduate within 6 yr. FRI had no significant effect on students’ GPAs at graduation. The effects were similar for diverse students. These results provide the most robust and best-controlled evidence to date to support calls for early involvement of undergraduates in research. PMID:27252296

  5. Mathematical simulation of the operating emergency conditions for the purpose of energy efficiency increase of thermal power plants management

    NASA Astrophysics Data System (ADS)

    Gazizova, O. V.; Malafeyev, A. V.; Kondrashova, Y. N.

    2016-04-01

    The regulations of the energy saving policy, being implemented at present, require an enhanced reliability of the power supply systems and operations of the motive loading, actuating machines and mechanisms, for the purpose of reduction of power inputs under operating emergency conditions. The development of industrial units of the distributed generation enables putting the generators, equipped with motors of the comparable power, into the operation, which is non-parallel to a power system. To provide static stability under such conditions the complex approach is required since it allows estimating the stability of the generators and the load during parallel and non-parallel operations with the power system and a complex circuit configuration. The mathematical models of units of the distributed generation and motive loading considering the character of the given mechanism are developed. They are implemented in the software package allowing the operative-dispatch personnel of the industrial power stations to forecast similar modes and develop special measures to provide a stable operation of electrical machines.

  6. Early Engagement in Course-Based Research Increases Graduation Rates and Completion of Science, Engineering, and Mathematics Degrees.

    PubMed

    Rodenbusch, Stacia E; Hernandez, Paul R; Simmons, Sarah L; Dolan, Erin L

    2016-01-01

    National efforts to transform undergraduate biology education call for research experiences to be an integral component of learning for all students. Course-based undergraduate research experiences, or CUREs, have been championed for engaging students in research at a scale that is not possible through apprenticeships in faculty research laboratories. Yet there are few if any studies that examine the long-term effects of participating in CUREs on desired student outcomes, such as graduating from college and completing a science, technology, engineering, and mathematics (STEM) major. One CURE program, the Freshman Research Initiative (FRI), has engaged thousands of first-year undergraduates over the past decade. Using propensity score-matching to control for student-level differences, we tested the effect of participating in FRI on students' probability of graduating with a STEM degree, probability of graduating within 6 yr, and grade point average (GPA) at graduation. Students who completed all three semesters of FRI were significantly more likely than their non-FRI peers to earn a STEM degree and graduate within 6 yr. FRI had no significant effect on students' GPAs at graduation. The effects were similar for diverse students. These results provide the most robust and best-controlled evidence to date to support calls for early involvement of undergraduates in research. PMID:27252296

  7. Early Engagement in Course-Based Research Increases Graduation Rates and Completion of Science, Engineering, and Mathematics Degrees.

    PubMed

    Rodenbusch, Stacia E; Hernandez, Paul R; Simmons, Sarah L; Dolan, Erin L

    2016-01-01

    National efforts to transform undergraduate biology education call for research experiences to be an integral component of learning for all students. Course-based undergraduate research experiences, or CUREs, have been championed for engaging students in research at a scale that is not possible through apprenticeships in faculty research laboratories. Yet there are few if any studies that examine the long-term effects of participating in CUREs on desired student outcomes, such as graduating from college and completing a science, technology, engineering, and mathematics (STEM) major. One CURE program, the Freshman Research Initiative (FRI), has engaged thousands of first-year undergraduates over the past decade. Using propensity score-matching to control for student-level differences, we tested the effect of participating in FRI on students' probability of graduating with a STEM degree, probability of graduating within 6 yr, and grade point average (GPA) at graduation. Students who completed all three semesters of FRI were significantly more likely than their non-FRI peers to earn a STEM degree and graduate within 6 yr. FRI had no significant effect on students' GPAs at graduation. The effects were similar for diverse students. These results provide the most robust and best-controlled evidence to date to support calls for early involvement of undergraduates in research.

  8. An Increase in Medical Student Knowledge of Radiation Oncology: A Pre-Post Examination Analysis of the Oncology Education Initiative

    SciTech Connect

    Hirsch, Ariel E. Mulleady Bishop, Pauline; Dad, Luqman; Singh, Deeptej; Slanetz, Priscilla J.

    2009-03-15

    Purpose: The Oncology Education Initiative was created to advance oncology and radiation oncology education by integrating structured didactics into the existing core radiology clerkship. We set out to determine whether the addition of structured didactics could lead to a significant increase in overall medical student knowledge about radiation oncology. Methods and Materials: We conducted a pre- and posttest examining concepts in general radiation oncology, breast cancer, and prostate cancer. The 15-question, multiple-choice exam was administered before and after a 1.5-hour didactic lecture by an attending physician in radiation oncology. Individual question changes, overall student changes, and overall categorical changes were analyzed. All hypothesis tests were two-tailed (significance level 0.05). Results: Of the 153 fourth-year students, 137 (90%) took the pre- and posttest and were present for the didactic lecture. The average test grade improved from 59% to 70% (p = 0.011). Improvement was seen in all questions except clinical vignettes involving correct identification of TNM staging. Statistically significant improvement (p {<=} 0.03) was seen in the questions regarding acute and late side effects of radiation, brachytherapy for prostate cancer, delivery of radiation treatment, and management of early-stage breast cancer. Conclusions: Addition of didactics in radiation oncology significantly improves medical students' knowledge of the topic. Despite perceived difficulty in teaching radiation oncology and the assumption that it is beyond the scope of reasonable knowledge for medical students, we have shown that even with one dedicated lecture, students can learn and absorb general principles regarding radiation oncology.

  9. Examining Fourth-Grade Mathematics Writing: Features of Organization, Mathematics Vocabulary, and Mathematical Representations

    ERIC Educational Resources Information Center

    Hebert, Michael A.; Powell, Sarah R.

    2016-01-01

    Increasingly, students are expected to write about mathematics. Mathematics writing may be informal (e.g., journals, exit slips) or formal (e.g., writing prompts on high-stakes mathematics assessments). In order to develop an effective mathematics-writing intervention, research needs to be conducted on how students organize mathematics writing and…

  10. Learning Mathematics while Black

    ERIC Educational Resources Information Center

    Martin, Danny Bernard

    2012-01-01

    While research by scholars has contributed greatly to an emerging knowledge base on Black children and mathematics, there continues to be a dire need for insightful research that de-centers longstanding accounts that have contributed to the construction of Black children as mathematically illiterate and as less than ideal learners relative to…

  11. Strengthen Your Mathematical Muscles

    ERIC Educational Resources Information Center

    Wohlhuter, Kay A.; Breyfogle, M. Lynn; McDuffie, Amy Roth

    2010-01-01

    Developing deep knowledge and understanding of mathematics is a lifelong process, and building the foundation for teachers' development must begin in preservice preparation and continue throughout one's professional life. While teaching mathematics content courses and methods courses, the authors have found that preservice elementary school…

  12. Mathematics: Content and Pedagogy

    ERIC Educational Resources Information Center

    Ediger, Marlow

    2009-01-01

    The debate has gone on for some time in terms of which is more salient for the teacher to be well versed in, mathematical content versus methods and approaches in teaching. Both are salient. They cannot be separated from each other. The mathematics teacher must indeed have broad, in-depth knowledge of subject matter as well as in teaching and…

  13. Early Predictors of High School Mathematics Achievement

    ERIC Educational Resources Information Center

    Siegler, Robert S.; Duncan, Greg J.; Davis-Kean, Pamela E.; Duckworth, Kathryn; Claessens, Amy; Engel, Mimi; Susperreguy, Maria Ines; Meichu, Chen

    2012-01-01

    Identifying the types of mathematics content knowledge that are most predictive of students' long-term learning is essential for improving both theories of mathematical development and mathematics education. To identify these types of knowledge, we examined long-term predictors of high school students' knowledge of algebra and overall mathematics…

  14. Comparing Discourse in Face-to-Face and Synchronous Online Mathematics Teacher Education: Effects on Prospective Teachers' Development of Knowledge for Teaching Statistics with Technology

    ERIC Educational Resources Information Center

    Starling, Tina T.

    2011-01-01

    This comparative study examined discourse and opportunities for interaction in two mathematics education methods classes, one face-to-face and one synchronous, online. Due to the content taught in the course, this study also sought to determine prospective mathematics teachers' understanding of variability and the role of discourse in each…

  15. Using Mathematics in Science: Working with Your Mathematics Department

    ERIC Educational Resources Information Center

    Lyon, Steve

    2014-01-01

    Changes to the mathematics and science curriculums are designed to increase rigour in mathematics, and place greater emphasis on mathematical content in science subjects at key stages 3, 4 and 5 (ages 11-18). One way to meet the growing challenge of providing increased emphasis on mathematics in the science curriculum is greater collaboration…

  16. Winning Women into Mathematics.

    ERIC Educational Resources Information Center

    Kenschaft, Patricia Clark, Ed.; Keith, Sandra Zaroodny, Ed.

    Mathematics is an auspicious discipline for young people of both sexes and all ethnic groups. This booklet aims to help members of the Mathematical Association of America (MAA) and others to increase future participation of women in mathematics, to better understand their present roles, and to develop a vision of a world with greater equal…

  17. A Comparison of the Effectiveness of a Game Informed Online Learning Activity and Face to Face Teaching in Increasing Knowledge about Managing Aggression in Health Settings

    ERIC Educational Resources Information Center

    McKenzie, Karen

    2013-01-01

    The present study compared the impact of face to face teaching with a short online game informed learning activity on health participants' knowledge about, and confidence in, managing aggressive situations. Both forms of teaching resulted in a significant increase in participants' knowledge and confidence. Face to face training led to…

  18. Toddlers' Opportunities to Learn Mathematics

    ERIC Educational Resources Information Center

    Bjorklund, Camilla

    2008-01-01

    Mathematical knowledge has developed from human activities through thousands of years and is bound to the world and cultures that men and women experience. One can say that mathematics is rooted in humans' everyday life, an environment where people reach agreement regarding principles in mathematics. Through interaction with worldly phenomena and…

  19. Mathematics in the Early Years.

    ERIC Educational Resources Information Center

    Copley, Juanita V., Ed.

    Noting that young children are capable of surprisingly complex forms of mathematical thinking and learning, this book presents a collection of articles depicting children discovering mathematical ideas, teachers fostering students' informal mathematical knowledge, adults asking questions and listening to answers, and researchers examining…

  20. Assessment and Learning of Mathematics.

    ERIC Educational Resources Information Center

    Leder, Gilah C., Ed.

    This book addresses the link between student learning of mathematics, the teaching method adopted in the mathematics classroom, and the assessment procedures used to determine and measure student knowledge. Fifteen chapters address issues that include a review of different models of mathematics learning and assessment practices, three contrasting…

  1. A Review of Selected Microcomputer Software Packages with Lessons for Teaching Mathematics Grades 8-12. Volume 3. A Curriculum Development Project of the Project To Increase Mastery of Mathematics and Science (PIMMS).

    ERIC Educational Resources Information Center

    Cetorelli, Nancy; And Others

    The purpose of this project is to help teachers of mathematics use the computer to aid the teaching and learning of many mathematical concepts in a meaningful way. To this end, commercially available software packages are described which are versatile, cost effective, and easy to use. A review and several lessons, each including homework…

  2. Mathematics Underground

    ERIC Educational Resources Information Center

    Luther, Kenneth H.

    2012-01-01

    Mathematical modeling of groundwater flow is a topic at the intersection of mathematics and geohydrology and is rarely encountered in undergraduate mathematics. However, this subject is full of interesting and meaningful examples of truly "applied" mathematics accessible to undergraduates, from the pre-calculus to advanced mathematics levels. This…

  3. ENGage: The use of space and pixel art for increasing primary school children's interest in science, technology, engineering and mathematics

    NASA Astrophysics Data System (ADS)

    Roberts, Simon J.

    2014-01-01

    The Faculty of Engineering at The University of Nottingham, UK, has developed interdisciplinary, hands-on workshops for primary schools that introduce space technology, its relevance to everyday life and the importance of science, technology, engineering and maths. The workshop activities for 7-11 year olds highlight the roles that space and satellite technology play in observing and monitoring the Earth's biosphere as well as being vital to communications in the modern digital world. The programme also provides links to 'how science works', the environment and citizenship and uses pixel art through the medium of digital photography to demonstrate the importance of maths in a novel and unconventional manner. The interactive programme of activities provides learners with an opportunity to meet 'real' scientists and engineers, with one of the key messages from the day being that anyone can become involved in science and engineering whatever their ability or subject of interest. The methodology introduces the role of scientists and engineers using space technology themes, but it could easily be adapted for use with any inspirational topic. Analysis of learners' perceptions of science, technology, engineering and maths before and after participating in ENGage showed very positive and significant changes in their attitudes to these subjects and an increase in the number of children thinking they would be interested and capable in pursuing a career in science and engineering. This paper provides an overview of the activities, the methodology, the evaluation process and results.

  4. Policy efforts used to develop awareness aimed at increased students' scientific literacy and career choices in mathematics, science and engineering

    NASA Astrophysics Data System (ADS)

    Whitfield, Frank Albert

    The lack of an adequate supply of human resources in science and engineering has been well documented. Efforts from a number of agencies, such as the National Science Foundation, have been implemented to alleviate this national problem. However, it is unclear what concerted efforts state agencies are taking to increase the number of African American students' scientific literacy, and career choices in science and engineering. The purpose of this study was to select a talent pool of African American students who are academically able to pursue a career in a math-based major. The selection of this talent pool lead to the recommendation of an encouragement process model to be used by the Tennessee Board of Regents (TBR) system to encourage the selectees of this talent pool to enter math-based programs at TBR universities. An integrated literature review was conducted. This review includes perspectives on national, state, and local educational policy decisions which affect educational purposes, institutional governance and secondary-postsecondary linkages. Existing TBR system data were analyzed and tabulated. This tabulated data along with the recommended model will be offered to the TBR system for possible adoption. The results of these data support the methodological notion that there are an appreciable number of potential TBR system African American students academically able to enter math related majors who, however, may be reluctant to choose a career direction in a math-based career field. Implications of this study and suggestions for further research are discussed. On an applied level, the study might suggest to other states ways in which to deal with similar problems.

  5. Understanding Mathematics and Science Matters. Studies in Mathematical Thinking and Learning Series

    ERIC Educational Resources Information Center

    Romberg, Thomas A., Ed.; Carpenter, Thomas P., Ed.; Dremock, Fae, Ed.

    2005-01-01

    The research reported in this book provides reliable evidence on and knowledge about mathematics and science instruction that emphasizes student understanding--instruction consistent with the needs of students who will be citizens in an increasingly demanding technological world. The National Center for Improving Student Learning in Mathematics…

  6. Prospective Mathematics Teachers' Attitudes Towards Learning Mathematics with Technology

    ERIC Educational Resources Information Center

    Ipek, A. Sabri; Berigel, Muhammed; Albayrak, Mustafa

    2007-01-01

    Role of technology which is an important tool for new approaches in learning mathematics is rapidly increasing at focus point of learning mathematics with new designs. One of the biggest factors at learning and instructing technology based mathematic education is attitudes of mathematics teachers towards technology. At this study, attitudes of…

  7. Mathematical Modeling in Mathematics Education: Basic Concepts and Approaches

    ERIC Educational Resources Information Center

    Erbas, Ayhan Kürsat; Kertil, Mahmut; Çetinkaya, Bülent; Çakiroglu, Erdinç; Alacaci, Cengiz; Bas, Sinem

    2014-01-01

    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…

  8. Toward Improving the Mathematics Preparation of Elementary Preservice Teachers

    ERIC Educational Resources Information Center

    Cardetti, Fabiana; Truxaw, Mary P.

    2014-01-01

    Research suggests the importance of mathematics knowledge for teaching (MKT) for enabling elementary school teachers to effectively teach mathematics. MKT involves both mathematical content knowledge (M-CK) and mathematical pedagogical content knowledge (M-PCK). However, there is no consensus on how best to prepare elementary preservice teachers…

  9. Modularizing Remedial Mathematics

    ERIC Educational Resources Information Center

    Wong, Aaron

    2013-01-01

    As remedial mathematics education has become an increasingly important topic of conversation in higher education. Mathematics departments have been put under increased pressure to change their programs to increase the student success rate. A number of models have been introduced over the last decade that represent a wide range of new ideas and…

  10. Short-term data collection projects: A means to increase teacher content knowledge and bring authentic research experiences into the classroom

    NASA Astrophysics Data System (ADS)

    Gaboardi, M.; Parker, W.; Rodriguez, D.

    2010-12-01

    Short-term field research projects were embedded into a two-week, Mathematics and Science Partnership-funded, teacher institute devoted to increasing content knowledge about the physical basis of climate change. Teams of four teachers were encouraged to ask any research question related to weather or climate, and create a data collection method that they thought might help answer their question. They were provided with a range of measurement devices, from simple immersible thermometers to light sensors, probeware, and carbon dioxide concentration sensors. Teams were expected to design data collection sites in a middle-school setting, present site designs to their peers, collect data, present initial results, and participate in peer-review about site design and data collected. Teachers were encouraged to generate research questions that could be replicated with their students at their schools. Design complexity ranged widely with some teachers deliberately choosing to model sites their students might design and others making full use of more sophisticated technology. On the third day of the institute, each group presented their research question and setup for data collection in poster format. Large gaps in understanding about testable questions and effective data collection methods were apparent. Instead of addressing errors as groups presented, facilitators encouraged participants to explore each groups’ presentation and make comments using post-it notes. Participants were then encouraged to respond to the comments and consider modifying their questions, site designs, or data collection methods. Teams gathered data up to three times daily and were fully responsible for choosing means of data organization; by the second week most were using and becoming familiar with Microsoft Excel. Final presentations were in Microsoft PowerPoint. Teams were expected to graphically report data, present possible interpretations, and discuss any problems related to their initial

  11. Radical Embodiment and Semiotics: Toward a Theory of Mathematics in the Flesh

    ERIC Educational Resources Information Center

    Thom, Jennifer S.; Roth, Wolff-Michael

    2011-01-01

    The idea that mathematical knowledge is embodied is increasingly taking hold in the mathematics education literature. Yet there are challenges to the existing conceptualizations: There tend to be breaks between (a) the living and experienced body (flesh) and linguistic forms of thought, (b) individual and collective forms of knowing, and (c) the…

  12. Are Beliefs Believable? An Investigation of College Students' Epistemological Beliefs and Behavior in Mathematics

    ERIC Educational Resources Information Center

    Liu, Po-Hung

    2010-01-01

    College students' epistemological belief in their academic performance of mathematics has been documented and is receiving increased attention. However, to what extent and in what ways problem solvers' beliefs about the nature of mathematical knowledge and thinking impact their performances and behavior is not clear and deserves further…

  13. Cognitive Correlates of Performance in Advanced Mathematics

    ERIC Educational Resources Information Center

    Wei, Wei; Yuan, Hongbo; Chen, Chuansheng; Zhou, Xinlin

    2012-01-01

    Background: Much research has been devoted to understanding cognitive correlates of elementary mathematics performance, but little such research has been done for advanced mathematics (e.g., modern algebra, statistics, and mathematical logic).Aims: To promote mathematical knowledge among college students, it is necessary to understand what factors…

  14. Theory of Mathematics Education (TME): An Introduction.

    ERIC Educational Resources Information Center

    Steiner, Hans-Georg

    1985-01-01

    Views on the need for a theory of mathematics education concern three interrelated components: meta-research and development of meta-knowledge on mathematics education as a discipline, development of a comprehensive view of mathematics education using a systems approach, and development of the dynamic regulating role of mathematics education. (MNS)

  15. The Problem of Certainty in Mathematics

    ERIC Educational Resources Information Center

    Ernest, Paul

    2016-01-01

    Two questions about certainty in mathematics are asked. First, is mathematical knowledge known with certainty? Second, why is the belief in the certainty of mathematical knowledge so widespread and where does it come from? This question is little addressed in the literature. In explaining the reasons for these beliefs, both cultural-historical and…

  16. Freedom Quilts: Mathematics on the Underground Railroad

    ERIC Educational Resources Information Center

    Neumann, Maureen D.

    2005-01-01

    A mathematics activity is presented which is a lesson frequently taught to upper elementary school students. It helps the students to see the connection of mathematics with a real-world activity, appreciate the mathematical knowledge required of quilt makers, reinforce their knowledge of the geometrical properties of different shapes and bring…

  17. Knowing Mathematics to Be a Teacher

    ERIC Educational Resources Information Center

    Meaney, Tamsin; Lange, Troels

    2012-01-01

    The limited mathematical knowledge of preservice primary teachers is an international concern. The areas of mathematical difficulties have been well documented, which has led to many universities instituting testing regimes to ensure that preservice teachers have appropriate knowledge of primary school mathematics. In our study, the preservice…

  18. Early predictors of high school mathematics achievement.

    PubMed

    Siegler, Robert S; Duncan, Greg J; Davis-Kean, Pamela E; Duckworth, Kathryn; Claessens, Amy; Engel, Mimi; Susperreguy, Maria Ines; Chen, Meichu

    2012-07-01

    Identifying the types of mathematics content knowledge that are most predictive of students' long-term learning is essential for improving both theories of mathematical development and mathematics education. To identify these types of knowledge, we examined long-term predictors of high school students' knowledge of algebra and overall mathematics achievement. Analyses of large, nationally representative, longitudinal data sets from the United States and the United Kingdom revealed that elementary school students' knowledge of fractions and of division uniquely predicts those students' knowledge of algebra and overall mathematics achievement in high school, 5 or 6 years later, even after statistically controlling for other types of mathematical knowledge, general intellectual ability, working memory, and family income and education. Implications of these findings for understanding and improving mathematics learning are discussed.

  19. A Three-Lesson Teaching Unit Significantly Increases High School Students' Knowledge about Epilepsy and Positively Influences Their Attitude towards This Disease.

    PubMed

    Simon, Uwe K; Gesslbauer, Lisa; Fink, Andreas

    2016-01-01

    Epilepsy is not a regular topic in many countries' schools. Thus many people harbor misconceptions about people suffering from this disease. It was our aim to a) examine what grade ten students know and believe about epilepsy, and b) to develop and test a teaching unit to improve their knowledge and attitude. The test group comprised eight grade ten classes from six different Austrian high schools (54 girls and 51 boys aged 14-17), the control group (no intervention) five grade ten classes from the same schools (26 girls and 37 boys aged 14-17). The teaching unit consisted of three 45-min lessons using different methods and material. Changes in knowledge about and attitude towards epilepsy as a result of the intervention were psychometrically assessed in a pre-test intervention post-test design (along with a follow-up assessment two months after the intervention) by means of a questionnaire capturing different facets of epilepsy-related knowledge and attitude. Across all knowledge/attitude domains, students of the test group had a significantly improved knowledge about and a more positive attitude towards epilepsy and people suffering from it after the teaching unit. However, starting levels were different between the five knowledge/attitude domains tested. Medical background knowledge was lowest and consequently associated with the highest increase after the intervention. This study shows that epilepsy-related knowledge of many grade ten high school students is fragmentary and that some harbor beliefs and attitudes which require improvement. Our comprehensive but concise teaching unit significantly increased knowledge about epilepsy and positively influenced attitude towards individuals with epilepsy. Thus we recommend implementing this unit into regular school curricula.

  20. A Three-Lesson Teaching Unit Significantly Increases High School Students’ Knowledge about Epilepsy and Positively Influences Their Attitude towards This Disease

    PubMed Central

    Simon, Uwe K.; Gesslbauer, Lisa; Fink, Andreas

    2016-01-01

    Epilepsy is not a regular topic in many countries’ schools. Thus many people harbor misconceptions about people suffering from this disease. It was our aim to a) examine what grade ten students know and believe about epilepsy, and b) to develop and test a teaching unit to improve their knowledge and attitude. The test group comprised eight grade ten classes from six different Austrian high schools (54 girls and 51 boys aged 14–17), the control group (no intervention) five grade ten classes from the same schools (26 girls and 37 boys aged 14–17). The teaching unit consisted of three 45-min lessons using different methods and material. Changes in knowledge about and attitude towards epilepsy as a result of the intervention were psychometrically assessed in a pre-test intervention post-test design (along with a follow-up assessment two months after the intervention) by means of a questionnaire capturing different facets of epilepsy-related knowledge and attitude. Across all knowledge/attitude domains, students of the test group had a significantly improved knowledge about and a more positive attitude towards epilepsy and people suffering from it after the teaching unit. However, starting levels were different between the five knowledge/attitude domains tested. Medical background knowledge was lowest and consequently associated with the highest increase after the intervention. This study shows that epilepsy-related knowledge of many grade ten high school students is fragmentary and that some harbor beliefs and attitudes which require improvement. Our comprehensive but concise teaching unit significantly increased knowledge about epilepsy and positively influenced attitude towards individuals with epilepsy. Thus we recommend implementing this unit into regular school curricula. PMID:26919557