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1

Knowledge Maps and Mathematical Modelling  

Microsoft Academic Search

The aim of our paper is to explain a mathematical model as a special case of symbolic knowledge map. Each knowledge mapping is a visualization of knowledge for the purpose of eliciting, sharing and expanding. Tools of such visualization can be of various types. But in reality many types of so-called knowledge maps are only data flow or information flow

Tomas Subrt; Helena Brozova

2

Transfer of Mathematical Knowledge: Series  

ERIC Educational Resources Information Center

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…

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

2012-01-01

3

Reconceptualizing Knowledge at the Mathematical Horizon  

ERIC Educational Resources Information Center

|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…

Zazkis, Rina; Mamolo, Ami

2011-01-01

4

KEA - A Knowledge Management System for Mathematics  

Microsoft Academic Search

Information contained in mathematical digital writings creates new challenges for knowledge management systems because automated knowledge extraction from natural language texts is a technical challenge. However, mathematical texts possess a distinctive structure. KEA benefits from this structure, and extracts linguistic relations from texts, creates ontologies, and combines them to a knowledge base. This knowledge base is the core of an

Sabina Jeschke; Nicole Natho; Marc Wilke

2007-01-01

5

Re-"Conceptualizing" Procedural Knowledge in Mathematics.  

ERIC Educational Resources Information Center

|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…

Star, Jon R.

6

Elementary Mathematics Teachers' Knowledge of Equity Pedagogy  

ERIC Educational Resources Information Center

|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…

Jackson, Christa

2013-01-01

7

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

ERIC Educational Resources Information Center

|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…

Holmes, Vicki-Lynn

2012-01-01

8

Connected Knowledge in Science and Mathematics Education  

ERIC Educational Resources Information Center

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…

Zohar, Anat

2006-01-01

9

Considering Indigenous Knowledges and Mathematics Curriculum  

ERIC Educational Resources Information Center

|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…

Sterenberg, Gladys

2013-01-01

10

Deepening the Mathematical Knowledge of Secondary Mathematics Teachers who Lack Tertiary Mathematics Qualifications  

Microsoft Academic Search

A professional learning program for unqualified practising secondary mathematics teachers regarding senior secondary mathematics teaching is described in this article. Professional learning episodes, artefacts and reflections of three teachers who participated in the program are analysed to identify the development of these teachers' mathematical and pedagogical content knowledge. The findings indicate that a program designed for senior secondary mathematics can

Colleen Vale

11

Conceptualising Teachers’ Mathematical Knowledge in Teaching  

Microsoft Academic Search

\\u000a It seems obvious that a teacher’s mathematical knowledge is an important ingredient for teaching, and while a teacher needs\\u000a to be able to do the mathematics required for the curricular level being taught, this may not be sufficient to ensure pupil\\u000a progress. Indeed, research on effective primary teachers indicates that those who produce the highest numeracy gains in pupils\\u000a do

Marilena Petrou; Maria Goulding

12

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

ERIC Educational Resources Information Center

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.

Huntley, Mary Ann; Flores, Alfinio

2010-01-01

13

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

ERIC Educational Resources Information Center

|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.|

Huntley, Mary Ann; Flores, Alfinio

2010-01-01

14

Being Mathematical, Holding Mathematics: Further Steps in Mathematical Knowledge for Teaching  

Microsoft Academic Search

Discussion, theorising and research in the area of mathematical knowledge for teaching began by asking what level of mathematical qualification teachers need. We have moved on considerably since then, using concepts such as pedagogical content knowledge, and frameworks such as those from Deborah Ball in Michigan or, more recently, Tim Rowlands in Cambridge or Alan Schoenfeld in Berkeley. Some lovely

Bill Barton; Elham Kazemi; Megan Franke; Magdalene Lampert; Karoline Afamasaga-Fuata

2009-01-01

15

Emergence of Mathematical Knowledge Structures. Introspection  

ERIC Educational Resources Information Center

|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…

Stehlikova, Nada

2003-01-01

16

Pre-service Mathematics Teachers' Knowledge of History of Mathematics and Their Attitudes and Beliefs Towards Using History of Mathematics in Mathematics Education  

NASA Astrophysics Data System (ADS)

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 4-8) mathematics teachers from nine universities in Turkey. Data were collected through Knowledge of History of Mathematics Test and Attitudes and Beliefs towards the Use of History of Mathematics in Mathematics Education Questionnaire. Results indicate that pre-service teachers have moderate knowledge of history of mathematics and positive attitudes and beliefs towards using history of mathematics. Their knowledge scores increase as the year level in teacher education program advanced. Males' knowledge scores are significantly higher than females' scores in the first 2 years. This situation reverses in the last 2 years, but it is not statistically significant. Pre-service teachers have more positive attitudes and availing beliefs towards using history of mathematics as they progress in their teacher education program. Females have greater attitudes and beliefs mean scores than males in each of the years. The results indicate that the teacher education program may have enhanced the pre-service teachers' knowledge of history of mathematics by related courses. However, the moderate knowledge scores indicate that there is a need for revision of these courses. The pre-service teachers' positive attitudes and beliefs towards using history of mathematics stress the importance of teacher education program in order to prepare them for implementing this alternative strategy in the future.

Alpaslan, Mustafa; I??ksal, Mine; Haser, Çi?dem

2013-10-01

17

Preschool Children's Mathematical Knowledge: The Effect of Teacher Math Talk  

Microsoft Academic Search

This study examined the relation between the amount of mathematical input in the speech of preschool or day-care teachers and the growth of children's conventional mathematical knowledge over the school year. Three main findings emerged. First, there were marked individual differences in children's conventional mathematical knowledge by 4 years of age that were associated with socioeconomic status. Second, there were

Raquel S. Klibanoff; Susan C. Levine; Janellen Huttenlocher; Marina Vasilyeva; Larry V. Hedges

2006-01-01

18

Building Mathematical Knowledge in Teaching by Means of Theorised Tools  

Microsoft Academic Search

\\u000a The literature on mathematical knowledge in\\/for teaching demonstrates a concern in the mathematics education community to\\u000a deepen understanding of what knowledge a teacher has\\/should have for the teaching of mathematics, and how this knowledge is\\u000a constructed. In order to make progress from the present state of affairs, this concern must be translated into efforts to\\u000a provide the necessary tools to

José Carrillo

19

Relationships between Mathematical Knowledge for Teaching and Teaching Practice: The Case of Proof  

ERIC Educational Resources Information Center

|Teachers of mathematics orchestrate opportunities for interactions between learners and subject matter. Therefore, mathematics teachers need rich, multidimensional content knowledge for teaching mathematics, which incorporates knowledge of the subject matter, students, and teaching. Studying this mathematical knowledge for teaching (MKT)…

Steele, Michael D.; Cervello Rogers, Kimberly

2012-01-01

20

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

ERIC Educational Resources Information Center

|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…

Bishop, Alan J., Ed.; And Others

21

Examining Mathematics Teacher Content Knowledge: Policy and Practice  

ERIC Educational Resources Information Center

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…

Esprivalo Harrell, Pamela; Eddy, Colleen McLean

2012-01-01

22

Examining Mathematics Teacher Content Knowledge: Policy and Practice  

ERIC Educational Resources Information Center

|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…

Esprivalo Harrell, Pamela; Eddy, Colleen McLean

2012-01-01

23

Contrasting Knowledge for Elementary and Secondary Mathematics Teaching  

ERIC Educational Resources Information Center

This paper describes and analyses two mathematics lessons, one with very young pupils, about subtraction, the other for lower secondary school pupils, about gradients [slopes] and graphs. The focus of the analysis is on teacher knowledge, and on the fundamental mathematical and mathematics-pedagogical prerequisites that underpin teaching these…

Rowland, Tim

2012-01-01

24

Contrasting Knowledge for Elementary and Secondary Mathematics Teaching  

ERIC Educational Resources Information Center

|This paper describes and analyses two mathematics lessons, one with very young pupils, about subtraction, the other for lower secondary school pupils, about gradients [slopes] and graphs. The focus of the analysis is on teacher knowledge, and on the fundamental mathematical and mathematics-pedagogical prerequisites that underpin teaching these…

Rowland, Tim

2012-01-01

25

Elementary School Quality: The Mathematics Curriculum and the Role of Local Knowledge.  

ERIC Educational Resources Information Center

|This report considers how the mathematical knowledge children develop on their own outside of formal school instruction can be used to increase the distribution and level of mathematical knowledge attained by students in grades K-3. Included are preliminary results of an investigation of the counting and calculating abilities brought to…

Balfanz, Robert

26

The Framing Discussion: Connecting Student Experience with Mathematical Knowledge  

ERIC Educational Resources Information Center

|This article introduces the framing discussion, an informal discussion of a mathematical problem that takes place at the beginning of a lesson or unit. The purpose of the framing discussion is to assess student knowledge, motivate student interest, and to serve as a basis for guiding students to more formal mathematical knowledge. The article…

Henning, John E.; Balong, Megan

2011-01-01

27

Building Mathematical Knowledge in an Authentic Mobile Phone Environment  

ERIC Educational Resources Information Center

|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

Daher, Wajeeh

2010-01-01

28

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

ERIC Educational Resources Information Center

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…

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

2013-01-01

29

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

ERIC Educational Resources Information Center

|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…

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

2013-01-01

30

SWiM - A Semantic Wiki for Mathematical Knowledge Management  

Microsoft Academic Search

SWiM is a semantic wiki for collaboratively building, edit- ing and browsing mathematical knowledge represented in the domain- specific structural semantic markup language OMDoc. It motivates users to contribute to collections of mathematical knowledge by instantly shar- ing the benefits of knowledge-powered services with them. SWiM is cur- rently being used for authoring content dictionaries, i.e. collections of uniquely identified

Christoph Lange

2008-01-01

31

Mathematical Ability Relies on Knowledge, Too  

ERIC Educational Resources Information Center

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…

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

2011-01-01

32

Teachers’ Knowledge of Students’ Knowledge in Mathematics Problem Solving: Correlational and Case Analyses  

Microsoft Academic Search

This study examined the relationship of teachers’ knowledge of students’ knowledge to teachers’ mathematics instruction and to students’ mathematics problem solving. First-grade teachers (N = 20) participated in a 4-week workshop in which they were given access to research-based knowledge on children’s mathematics learning. Teachers were observed for 16 days throughout the school year. In May, teachers completed interviews and

Penelope L. Peterson; Thomas Carpenter; Elizabeth Fennema

1989-01-01

33

Assessing Knowledge of Mathematical Equivalence: A Construct-Modeling Approach  

ERIC Educational Resources Information Center

|Knowledge of mathematical equivalence, the principle that 2 sides of an equation represent the same value, is a foundational concept in algebra, and this knowledge develops throughout elementary and middle school. Using a construct-modeling approach, we developed an assessment of equivalence knowledge. Second through sixth graders (N = 175)…

Rittle-Johnson, Bethany; Matthews, Percival G.; Taylor, Roger S.; McEldoon, Katherine L.

2011-01-01

34

Expertise in Mathematics Instruction: Subject Matter Knowledge.  

ERIC Educational Resources Information Center

The organization and content of subject matter knowledge of arithmetic teachers was explored. Experienced and beginning fourth grade teachers were observed. They were evaluated on their lessons to teach fractions. Implications of their knowledge differences were discussed. (DWH)

Leinhardt, Gaea; Smith, Donald A.

1985-01-01

35

Language-Based Prior Knowledge and Transition to Mathematics  

ERIC Educational Resources Information Center

|The paper provides a college mathematics student's concept maps, definitions, and essays to support the thesis that language-based prior knowledge can influence students' cognitive processes of mathematical concepts. A group of intermediate algebra students who displayed terms mainly from the spoken language on the first and the second concept…

Dogan-Dunlap, Hamide; Torres, Cristina; Chen, Fan

2005-01-01

36

The Mathematical Knowledge and Understanding Young Children Bring to School  

ERIC Educational Resources Information Center

As part of the Victorian Early Numeracy Research Project, over 1400 Victorian children in the first (Preparatory) year of school were assessed in mathematics by their classroom teachers. Using a task-based, one-to-one interview, administered during the first and last month of the school year, a picture emerged of the mathematical knowledge and…

Clarke, Barbara; Clarke, Doug; Cheeseman, Jill

2006-01-01

37

Public knowledge about AIDS increasing.  

PubMed

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

Campbell, M J; Waters, W E

1987-04-01

38

"Concreteness Fading" Promotes Transfer of Mathematical Knowledge  

ERIC Educational Resources Information Center

|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…

McNeil, Nicole M.; Fyfe, Emily R.

2012-01-01

39

Preservice Teachers' Subject Matter Knowledge of Mathematics  

ERIC Educational Resources Information Center

|Sixty four preservice teachers taking a mathematics methods class for middle schools were given 3 math problems: multiply a three digit number by a two digit number; divide a whole number by a fraction; and compare the volume of two cylinders made in different ways from the same rectangular sheet. They were to a) solve them, explaining their…

Menon, Ramakrishnan

2009-01-01

40

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

ERIC Educational Resources Information Center

|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…

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

2013-01-01

41

Preservice Teachers' Knowledge of Proof by Mathematical Induction  

ERIC Educational Resources Information Center

|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…

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

2007-01-01

42

Mathematical Knowledge and School Work: A Case Study of the Teaching of Developing Mathematical Processes.  

ERIC Educational Resources Information Center

|This study considered the meaning that was given to knowing/doing mathematics in classrooms comprising the observational study conducted by the Wisconsin Center for Education Research during 1978-81. The study interprets the work of teachers and students, and considers what constitutes appropriate mathematical knowledge for children to learn. A…

Stephens, Walter Maxwell

43

Using Theories to Build Kindergarten Teachers’ Mathematical Knowledge for Teaching  

Microsoft Academic Search

\\u000a This chapter describes how a theory of Deborah Ball and her colleagues, embedded in the realm of teacher knowledge, was combined\\u000a with a theory of David Tall and Shlomo Vinner, embedded in the realm of mathematics knowledge, to develop kindergarten teachers’\\u000a knowledge for teaching geometrical concepts. The chapter describes the separate theories and how they may be combined to build

Dina Tirosh; Pessia Tsamir; Esther Levenson

44

The mathematical knowledge and understanding young children bring to school  

NASA Astrophysics Data System (ADS)

As part of the Victorian Early Numeracy Research Project, over 1400 Victorian children in the first (Preparatory) year of school were assessed in mathematics by their classroom teachers. Using a task-based, one-to-one interview, administered during the first and last month of the school year, a picture emerged of the mathematical knowledge and understanding that young children bring to school, and the changes in this knowledge and understanding during the first year of school. A major feature of this research was that high quality, robust information on young children's mathematical understanding was collected for so many children. An important finding was that much of what has traditionally formed the mathematics curriculum for the first year of school was already understood clearly by many children on arrival at school. In this article, data on children's understanding are shared, and some implications for classroom practice are discussed.

Clarke, Barbara; Cheeseman, Jill; Clarke, Doug

2006-05-01

45

The Cognitive Blending of Mathematics and Physics Knowledge  

NSDL National Science Digital Library

Numbers, variables, and equations are used differently in a physics class than in a pure mathematics class. In physics, these symbols not only obey formal mathematical rules but also carry physical ideas and relations. This paper focuses on modeling how this combination of physical and mathematical knowledge is constructed. The cognitive blending framework highlights both the different ways this combination can occur and the emergence of new insights and meaning that follows such a combination. After an introduction to the blending framework itself, several examples from undergraduate physics students' work are analyzed.

Bing, Thomas J.; Redish, Edward F.

2007-11-25

46

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

ERIC Educational Resources Information Center

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…

Zazkis, Rina; Leikin, Roza

2010-01-01

47

Measuring Mathematical Knowledge for Teaching Fractions with Drawn Quantities  

ERIC Educational Resources Information Center

Researchers have recently used traditional item response theory (IRT) models to measure mathematical knowledge for teaching (MKT). Some studies (e.g., Hill, 2007; Izsak, Orrill, Cohen, & Brown, 2010), however, have reported subgroups when measuring middle-grades teachers' MKT, and such groups violate a key assumption of IRT models. This study…

Izsak, Andrew; Jacobson, Erik; de Araujo, Zandra; Orrill, Chandra Hawley

2012-01-01

48

Measuring Mathematical Knowledge for Teaching Fractions with Drawn Quantities  

ERIC Educational Resources Information Center

|Researchers have recently used traditional item response theory (IRT) models to measure mathematical knowledge for teaching (MKT). Some studies (e.g., Hill, 2007; Izsak, Orrill, Cohen, & Brown, 2010), however, have reported subgroups when measuring middle-grades teachers' MKT, and such groups violate a key assumption of IRT models. This study…

Izsak, Andrew; Jacobson, Erik; de Araujo, Zandra; Orrill, Chandra Hawley

2012-01-01

49

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

ERIC Educational Resources Information Center

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…

Moyer-Packenham, Patricia S.; Westenskow, Arla

2012-01-01

50

Mathematical Knowledge and Skills: Selected Results from the Second Assessment of Mathematics.  

ERIC Educational Resources Information Center

|This is one of a series of reports summarizing the results of the second mathematics assessment conducted by the National Assessment of Educational Progress (NAEP). Nine, 13- and 17-year-olds were assessed during the 1977-78 school year. The assessment measured achievement in various content areas at four levels of cognitive processes (knowledge,…

Kahl, Stuart

51

Teachers' Mathematics Knowledge for Teaching and School Context : A Study of California Teachers  

ERIC Educational Resources Information Center

This article examines the relationship between the mathematical knowledge of 438 K-8 California teachers and the demographics of the schools in which they work. To measure mathematical knowledge, we used a series of multiple-choice problems meant to represent both the content teachers teach and the specialized knowledge of mathematics that…

Hill, Heather C.; Lubienski, Sarah Theule

2007-01-01

52

Promoting Equity in Mathematics Teacher Preparation: A Framework for Advancing Teacher Learning of Children's Multiple Mathematics Knowledge Bases  

ERIC Educational Resources Information Center

|Research repeatedly documents that teachers are underprepared to teach mathematics effectively in diverse classrooms. A critical aspect of learning to be an effective mathematics teacher for diverse learners is developing knowledge, dispositions, and practices that support building on children's mathematical thinking, as well as their cultural,…

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

2012-01-01

53

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

NASA Astrophysics Data System (ADS)

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.

Balfanz, Robert

1990-03-01

54

The Development of Diploma in Education Student Teachers’ Mathematics Pedagogical Content Knowledge  

Microsoft Academic Search

Mathematics pedagogical content knowledge (MPCK) of teachers cannot be easily defined but is a complex concept integrating\\u000a generic pedagogical knowledge, mathematics teaching methodology as well as knowledge of the discipline of mathematics. It\\u000a is the objective of mathematics methodology courses in teacher preparation programmes to begin the development of MPCK in\\u000a their pre-service teachers. As part of a research study

Suat Khoh Lim-Teo; Kwee Gek Chua; Wai Kwong Cheang; Joseph K. Yeo

2007-01-01

55

The Effective Mathematics Department: Adding Value and Increasing Participation?  

ERIC Educational Resources Information Center

|Given the commonly accepted view that having a mathematically well-educated populace is strategically important, there is considerable international interest in raising attainment, and increasing participation, in post-compulsory mathematics education. In this article, multilevel models are developed with the use of datasets from the UK…

Noyes, Andrew

2013-01-01

56

Pre-Service Students' Responses to Being Tested on Their Primary School Mathematical Knowledge  

ERIC Educational Resources Information Center

|The limited mathematical knowledge of pre-service 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 their pre-service teachers have appropriate knowledge of primary school mathematics. In this study, the…

Meaney, Tamsin; Lange, Troels

2010-01-01

57

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

ERIC Educational Resources Information Center

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…

Harrell, Pamela Esprivalo; Eddy, Colleen McLean

2011-01-01

58

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

ERIC Educational Resources Information Center

|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…

Harrell, Pamela Esprivalo; Eddy, Colleen McLean

2011-01-01

59

Generative Adolescent Mathematical Learners: The Fabrication of Knowledge  

ERIC Educational Resources Information Center

|This dissertation is embedded in a deconstruction of the field of Mathematics Education in order to reconstitute the mathematics student as a generative mathematical learner. The purpose of the dissertation is to understand how generative adolescent mathematical learners (GAMLs) maneuver through their mathematics courses while maintaining such a…

Lawler, Brian R.

2008-01-01

60

Using Video Clips of Mathematics Classroom Instruction as Item Prompts to Measure Teachers' Knowledge of Teaching Mathematics  

ERIC Educational Resources Information Center

|Responding to the scarcity of suitable measures of teacher knowledge, this article reports on a novel assessment approach to measuring teacher knowledge of teaching mathematics. The new approach uses teachers' ability to analyze teaching as a proxy for their teaching knowledge. Video clips of classroom instruction, which respondents were asked to…

Kersting, Nicole

2008-01-01

61

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

ERIC Educational Resources Information Center

|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,…

Davis, Brent; Renert, Moshe

2013-01-01

62

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

ERIC Educational Resources Information Center

|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…

Bair, Sherry L.; Rich, Beverly S.

2011-01-01

63

Indonesian primary teachers' mathematical knowledge for teaching geometry: implications for educational policy and teacher preparation programs  

Microsoft Academic Search

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 background information. Based on statistical analyses (ANOVA and multiple regression model) teachers'

Dicky Ng

2011-01-01

64

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

ERIC Educational Resources Information Center

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…

Ng, Dicky

2011-01-01

65

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

ERIC Educational Resources Information Center

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…

Luitel, Bal Chandra

2013-01-01

66

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

ERIC Educational Resources Information Center

|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…

Luitel, Bal Chandra

2013-01-01

67

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

ERIC Educational Resources Information Center

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

Copur-Gencturk, Yasemin; Lubienski, Sarah T.

2013-01-01

68

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

ERIC Educational Resources Information Center

|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

Copur-Gencturk, Yasemin; Lubienski, Sarah T.

2013-01-01

69

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

ERIC Educational Resources Information Center

|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

Hitt, Fernando

2011-01-01

70

Orienteering in Knowledge Spaces: The Hyperbolic Geometry of Wikipedia Mathematics  

PubMed Central

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.

Leibon, Gregory; Rockmore, Daniel N.

2013-01-01

71

On Forms of Knowledge in School Mathematics - Some Philosophical Reflections on a Case Study  

Microsoft Academic Search

Various forms of knowledge have been highlighted and problematized in mathematics education research. This paper will initially identify some of these forms and relate them to philosophical theories on the epistemological and ontological level. A second part reflects on how conceptions about forms of knowledge could saturate mathematics curriculum plans and how this will affect classroom practice. The third part

Lars Mouwitz

72

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

ERIC Educational Resources Information Center

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

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

2001-01-01

73

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

ERIC Educational Resources Information Center

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…

Livy, Sharyn; Vale, Colleen

2011-01-01

74

Mathematics anxiety in preservice teachers: Its relationship to their conceptual and procedural knowledge of fractions  

Microsoft Academic Search

The objective of the present study was to examine the relationship between mathematics anxiety and the procedural and conceptual\\u000a knowledge of fractions in prospective teachers. Thirty-two preservice teachers enrolled in an elementary mathematics methods\\u000a course were administered the Revised Mathematics Anxiety Rating Scale (RMARS, Balo?lu, 2002). Procedural and conceptual knowledge\\u000a of fractions was assessed with a validated paper and pencil

Vanessa Rayner; Nicole Pitsolantis; Helena Osana

2009-01-01

75

Increasing Minorities' Mathematics Preparedness: The College Readiness Program.  

ERIC Educational Resources Information Center

|Black and Hispanic students have historically been underrepresented at state universities in relationship to the percentage of the population of these minorities in the state at large. With the increase of requirements from two to three years of high school mathematics, there is real concern that this underrepresentation will continue to worsen.…

Duren, Phillip E.; Kelly, Margaret

76

Developing a Pedagogically Useful Content Knowledge in Elementary Mathematics.  

ERIC Educational Resources Information Center

|Elementary school teacher candidates typically enter their professional training with deficiencies in their conceptual understanding of the topics of elementary school mathematics and with a reliance upon procedural (algorithmic) approaches to the solutions of mathematical problems. If elementary school teacher candidates are expected to teach…

Peck, Donald M.; Connell, Michael L.

77

Using Problem Solving to Assess Young Children's Mathematics Knowledge  

ERIC Educational Resources Information Center

|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…

Charlesworth, Rosalind; Leali, Shirley A.

2012-01-01

78

Increased Knowledge in Geometry and Instructional Practice.  

ERIC Educational Resources Information Center

|Examines the effects on instruction of an intervention program designed to enhance teachers' knowledge of geometry and their knowledge of research on student cognition in geometry. Findings indicate significant gains in content knowledge and in van Hiele level, and marked changes in what was taught, how it was taught, and the characteristics…

Swafford, Jane O.; And Others

1997-01-01

79

Improving the Mathematical Content Knowledge of General and Special Educators: Evaluating a Professional Development Module that Focuses on Number Sense  

ERIC Educational Resources Information Center

|Student performance in mathematics has been linked to the mathematical knowledge of the teacher. Based on this finding, a 5-day professional development module was created to improve teachers' mathematical knowledge and their understanding of number sense. We found no difference prior to the professional development in mathematical content…

Faulkner, Valerie N.; Cain, Chris R.

2013-01-01

80

Role of Conceptual Knowledge in Mathematical Procedural Learning.  

ERIC Educational Resources Information Center

|Two experiments explored the relationship between conceptual and procedural knowledge. Results revealed that fourth and sixth graders made computational errors even though they possessed conceptual knowledge. Fifth graders mastered conceptual knowledge before procedural knowledge. Results support the dynamic interaction theory. (BC)|

Byrnes, James P.; Wasik, Barbara A.

1991-01-01

81

The Devalued Student: Misalignment of Current Mathematics Knowledge and Level of Instruction  

ERIC Educational Resources Information Center

Within this study, we investigated the association between 10th-grade students' mathematics performance and their feelings of instructional misalignment between their current mathematics knowledge and educator support. Data from the 2002 Education Longitudinal Study, which included a national sample of 750 public and private high schools in the…

LeMire, Steven D.; Melby, Marcella L.; Haskins, Anne M.; Williams, Tony

2012-01-01

82

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

ERIC Educational Resources Information Center

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…

Belbase, Shashidhar

2012-01-01

83

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

ERIC Educational Resources Information Center

|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…

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

2010-01-01

84

Influencing Beginning Teachers' Practice in Mathematics Education: Confronting Constraints of Knowledge, Beliefs, and Context.  

ERIC Educational Resources Information Center

|This paper compares and contrasts cases of three beginning teachers, graduates of a teacher education program that included an intervention component designed to change prospective elementary teachers' knowledge and beliefs about mathematics education. The goal of the intervention (a sequence of three mathematics courses, a methods course, and a…

Wilcox, Sandra K.; And Others

85

Community Elders, Traditional Knowledge, and a Mathematics Curriculum Framework.  

ERIC Educational Resources Information Center

|In Nunavut, where most residents are Inuit, Inuit elders are helping develop a new mathematics curriculum based on Inuit philosophy. Students will be involved in cultural, experiential activities during on-the-land trips. Such trips involve other community members, and the resulting interactions and informal teaching by individuals other than…

Yamamura, Brian; Netser, Saimanaaq; Qanatsiaq, Nunia

2003-01-01

86

WORKING WITH LEARNERS' MATHEMATICS: EXPLORING A KEY ELEMENT OF MATHEMATICAL KNOWLEDGE FOR TEACHING  

Microsoft Academic Search

This paper explores an element of mathematics for teaching (MfT), specifically 'interpreting and judging students' mathematical productions'. The research reported draws from a wider study that includes an examination of MfT produced across teacher education sites in South Africa. We show that this element of MfT is privileged across sites, evidence that it is valued in teacher education practice. Its

Jill Adler; Zain Davis; Diane Parker; Lyn Webb; Lynn Webb; Nelson Mandela

87

Knowledge dissemination and use in science and mathematics education: A literature review  

Microsoft Academic Search

A synthesis of the literature on knowledge dissemination and use in education, notably in science and mathematics, is presented. Perspectives have changed in the ways in which knowledge and products are seen to reach potential users. From the top-down, linear models, we have come closer to bottom-up approaches and to the crucial role of linking agents. At present, the most

Janet R. Hutchinson; Michael Huberman

1994-01-01

88

The Effects of Teacher Mathematics Knowledge and Pedagogy on Student Achievement in Rural Guatemala  

ERIC Educational Resources Information Center

Why are some teachers more effective than others? The importance of understanding the interplay between teacher preparation, pedagogy and student achievement has motivated a new line of research focusing on teacher knowledge. This study analyses the effects of teacher mathematics knowledge on student achievement using longitudinal data from rural…

Marshall, Jeffery H.; Sorto, M. Alejandra

2012-01-01

89

The Effects of Teacher Mathematics Knowledge and Pedagogy on Student Achievement in Rural Guatemala  

ERIC Educational Resources Information Center

|Why are some teachers more effective than others? The importance of understanding the interplay between teacher preparation, pedagogy and student achievement has motivated a new line of research focusing on teacher knowledge. This study analyses the effects of teacher mathematics knowledge on student achievement using longitudinal data from rural…

Marshall, Jeffery H.; Sorto, M. Alejandra

2012-01-01

90

The Nature and Development of Middle School Mathematics Teachers' Knowledge  

ERIC Educational Resources Information Center

|In this article, we report on the use of a teacher profiling instrument with 62 middle school teachers at the start of a 3-year professional learning programme. The instrument was designed to assess the aspects of teachers' knowledge identified by Shulman ("1987") refined by Ball et al. ("2008") and extended to include teachers' confidence to use…

Beswick, Kim; Callingham, Rosemary; Watson, Jane

2012-01-01

91

Developing teachers’ knowledge of students as learners of mathematics through structured interviews  

Microsoft Academic Search

A structured interview process is proffered as an effective means to advance prospective teachers’ understandings of students\\u000a as learners of mathematics, a key component of pedagogical content knowledge. The interview process is carried out in three\\u000a phases with the primary objective of developing listening skills for accessing students’ mathematical thinking. The interviews\\u000a adhere to clinical interview procedures for discovering cognitive

Oliver F. Jenkins

2010-01-01

92

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

ERIC Educational Resources Information Center

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…

Murphy, Carol

2006-01-01

93

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

ERIC Educational Resources Information Center

|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…

Murphy, Carol

2006-01-01

94

Increasing mathematical problem-solving performance through relaxation training  

NASA Astrophysics Data System (ADS)

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.

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

2000-04-01

95

Organizational culture as a knowledge repository for increased innovative capacity  

Microsoft Academic Search

Just as ‘innovate or die’ is one of the mantras of today’s economy, knowledge is increasingly recognized as the key underpinning resource. Effective innovation that improves the ability of an organization to remain competitive within an uncertain environment requires the creation, capture, harvest, sharing and application of knowledge and expertise. The ability of an organization to ‘learn’ means that knowledge

Mark Lemon; Parminder Singh Sahota

2004-01-01

96

The Teacher's Role in Increasing Student Understanding of Mathematics.  

ERIC Educational Resources Information Center

Outlines two mathematics teaching strategies: the exploration/discovery approach to mathematical concepts, and the use of pair group problem-solving. These require teachers to shift from the traditional role of lecture/demonstrator to a role demanding new skills in planning and facilitating student work. Includes 10 references. (MD)

Simon, Martin A.

1986-01-01

97

Enhancing and Assessing Preservice Teachers' Integration and Expression of Mathematical Knowledge  

Microsoft Academic Search

The construction of concept maps and the writing of interpretive essays in mathematics courses for preservice and continuing\\u000a teachers provide students with rich learning experiences and yield substantial insights into the degree of connectedness of\\u000a their knowledge with respect to a given topic. With this dual approach students are given the opportunity to express their\\u000a knowledge in different ways, which

Linda A. Bolte

1999-01-01

98

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

ERIC Educational Resources Information Center

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'…

Jenkins, Oliver F.

2010-01-01

99

Licensure Tests for Special Education Teachers: How Well They Assess Knowledge of Reading Instruction and Mathematics  

ERIC Educational Resources Information Center

|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…

Stotsky, Sandra

2009-01-01

100

Decision Making and Sources of Knowledge: How Students Tackle Integrated Tasks in Science, Technology and Mathematics  

ERIC Educational Resources Information Center

This article reports on students' decision making processes and sources of knowledge in an integrated teaching and learning setting. The study was conducted in a Year 9 classroom as students undertook a 10-week solar-powered boat project and were exposed to related concepts from science, technology and mathematics. Data collection involved…

Venville, Grady; Rennie, Leonie; Wallace, John

2004-01-01

101

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

ERIC Educational Resources Information Center

|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…

Agyei, Douglas D.; Voogt, Joke

2012-01-01

102

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

ERIC Educational Resources Information Center

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…

Phillips, Beth M.; Morse, Erika E.

2011-01-01

103

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

ERIC Educational Resources Information Center

|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…

Santos-Trigo, Manuel; Barrera-Mora, Fernando

2011-01-01

104

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

ERIC Educational Resources Information Center

|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…

Phillips, Beth M.; Morse, Erika E.

2011-01-01

105

Vamos a Jugar Counters! Learning Mathematics through Funds of Knowledge, Play, and the Third Space  

ERIC Educational Resources Information Center

|Drawing on Cultural Historical Activity Theory (CHAT), funds of knowledge, and third space, this article presents a model for practitioners and researchers to think about how Latina/o, bilingual children develop explicit mathematics strategies through multilingual and multigenerational interactions. Using data collected through fieldwork in an…

Razfar, Aria

2012-01-01

106

Preparing teachers to teach science and mathematics with technology: Developing a technology pedagogical content knowledge  

Microsoft Academic Search

Preservice teachers’ pedagogical content knowledge (PCK) development was investigated with respect to integrating technology. Four components of PCK were adapted to describe technology-enhanced PCK (TPCK). The study examined the TPCK of student teachers in a multi-dimensional science and mathematics teacher preparation program that integrated teaching and learning with technology throughout the program. Five cases described the difficulties and successes of

M. L. Niess

2005-01-01

107

Mathematical Learning Models that Depend on Prior Knowledge and Instructional Strategies  

ERIC Educational Resources Information Center

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…

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

2008-01-01

108

Re-Conceptualizing Validity within the Context of a New Measure of Mathematical Knowledge for Teaching  

ERIC Educational Resources Information Center

In this journal issue, the authors of the focus articles have provided a suite of very stimulating and thoughtful articles. The overarching purpose of this research is to explore the application of principles derived from the view of validity proposed by Kane (2004) to their research on issues related to the measurement of mathematical knowledge

Engelhard, George, Jr.; Sullivan, Rubye K.

2007-01-01

109

Utilising Year Three NAPLAN Results to Improve Queensland Teachers' Mathematical Pedagogical Content Knowledge  

ERIC Educational Resources Information Center

Poor results in Queensland Year Three NAPLAN Numeracy tests have provided a focus to critically review the classroom practices of lower primary mathematics teachers. This paper outlines how pedagogical content knowledge can be strengthened by emphasising conceptual understanding, by utilising dynamic classroom discourse, by an awareness of…

van Klinken, Eduarda

2010-01-01

110

Communicative characteristics of teachers’ mathematical talk with children: from knowledge transfer to knowledge investigation  

Microsoft Academic Search

In-service teachers actively collaborated in a developmental research project. The main aim of the research project was the\\u000a advancement of one central aspect of teacher professionalism: teachers’ diagnostic competencies. Conditions of understanding\\u000a and possibilities of enriching teachers’ talk are of special interest because mathematics teaching is particularly affected\\u000a by speech and communication (Söbbeke and Steinbring in Mathematik für Kinder—Mathematik von

Kerstin Bräuning; Heinz Steinbring

111

Teaching Area and Perimeter: Mathematics-Pedagogical-Content Knowledge-in-Action  

Microsoft Academic Search

This paper examines the influence of teacher's mathematics pedagogical content knowledge (MPCK) in the teaching of area and perimeter to Grade 4 pupils. Lessons of a beginning teacher were studied to determine the activities and teaching strategies used to bring out ideas associated with area and perimeter. Observable MPCK-in-action outcomes are also being studied through video-taping the beginning teacher. In

Kai Kow Joseph Yeo

2008-01-01

112

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

Microsoft Academic Search

This paper presents findings from a stratified-random survey of family child care providers’ backgrounds, caregiving environments,\\u000a practices, attitudes, and knowledge related to language, literacy, and mathematics development for preschool children. Descriptive\\u000a results are consistent with prior studies suggesting that home-based providers are older, less educated, and care for a wider\\u000a age-range of children than center-based providers. Provider education was unrelated

Beth M. PhillipsErika; Erika E. Morse

2011-01-01

113

Knowledge dissemination and use in science and mathematics education: A literature review  

NASA Astrophysics Data System (ADS)

A synthesis of the literature on knowledge dissemination and use in education, notably in science and mathematics, is presented. Perspectives have changed in the ways in which knowledge and products are seen to reach potential users. From the top-down, linear models, we have come closer to bottom-up approaches and to the crucial role of linking agents. At present, the most influential approach is a "constructivist" one, whereby research and other kinds of specialized knowledge is exchanged between researchers and professionals in a mutually constructed social context. While there is still debate over the best predictors of successful knowledge use, the scope of the field has been considerably enlarged by including users' perspectives. To some extent then, specialists in this field are now working in a new paradigm.

Hutchinson, Janet R.; Huberman, Michael

1994-03-01

114

Mathematics Learning Difficulties in Primary Education: Teachers' Professional Knowledge and the Use of Commercially Available Learning Packages  

ERIC Educational Resources Information Center

|The present study builds on teachers' professional knowledge about mathematics learning difficulties. Based on the input of 918 primary school teachers, an attempt is made to develop an overview of difficult curriculum topics in primary school mathematics. The research approach builds on new conceptions about the professional identity of teachers…

Van Steenbrugge, H.; Valcke, M.; Desoete, A.

2010-01-01

115

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

ERIC Educational Resources Information Center

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

Richardson, Sandra

2009-01-01

116

The Building of Pre-Service Primary Teachers' Knowledge of Mathematics Teaching: Interaction and Online Video Case Studies  

ERIC Educational Resources Information Center

This study explores how preservice primary teachers became engaged in meaning-making mathematics teaching when participating in online discussions within learning environments integrating video-clips of mathematics teaching. We identified different modes of participation in the online discussions and different levels of knowledge-building. The…

Llinares, Salvador; Valls, Julia

2009-01-01

117

The integration of knowledge-based system and mathematical programming through planning-domain oriented structured model  

Microsoft Academic Search

As the design of knowledge-based systems depends on problem domains, it is often difficult to acquire useful knowledge or to guarantee the consistency of the knowledge-base and the completeness of search. To overcome those defects and construct more effective knowledge-based systems, it is useful to utilize optimization methods of mathematical programming. This requires a model which can integrate both the

K. Abe; Makoto Tsukiyama; T. Fukuda

1989-01-01

118

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

ERIC Educational Resources Information Center

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,…

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

2007-01-01

119

Mathematical learning models that depend on prior knowledge and instructional strategies  

NSDL National Science Digital Library

We present mathematical learning modelsâpredictions of studentâs knowledge vs amount of instructionâthat 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.

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

2008-09-24

120

An Examination of Middle School Mathematics Teacher's Beliefs and Knowledge about Inclusion of Students with Learning Disabilities  

ERIC Educational Resources Information Center

|The purpose of this study was to investigate middle school general education mathematics teachers' beliefs and knowledge of inclusive instruction and to assess whether or not teachers' classroom practices reflect their beliefs and knowledge. Administrative support and higher education teacher preparation programs were also examined. Data were…

DeSimone, Janet R.

2004-01-01

121

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

ERIC Educational Resources Information Center

|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…

Courtney, Scott Allen

2010-01-01

122

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

ERIC Educational Resources Information Center

|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…

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

2010-01-01

123

Decision Making and Sources of Knowledge: How Students Tackle Integrated Tasks in Science, Technology and Mathematics  

NASA Astrophysics Data System (ADS)

This article reports on students'' decision making processes and sources of knowledge in an integrated teaching and learning setting. The study was conducted in a Year 9 classroom as students undertook a 10-week solar-powered boat project and were exposed to related concepts from science, technology and mathematics. Data collection involved detailed case studies of three pairs of students, interviews, classroom observation and analysis of the artefacts and portfolios produced by the students. Students were found to access knowledge from a variety of sources, including teacher''s notes from formal instruction, informal interactions with the teacher, observation of and interaction with other students, as well as sources outside the classroom. However, the utility of the knowledge sources was influenced by the nature of the task. When students were performing open-ended tasks, they drew on a wider variety of knowledge sources than when they were performing less open tasks. Moreover, subject discipline-based sources often were not as helpful in solving open tasks. The study leads to several important implications for designing teaching and learning in integrated curriculum settings.

Venville, Grady; Rennie, Léonie; Wallace, John

2004-04-01

124

The Introduction of Native Knowledge in Mathematic-Teaching in Ethnic Elementary and Secondary Schools--Based on the Theory of "Cultural Discontinuities"  

ERIC Educational Resources Information Center

Ethnic students will face the problem of "cultural discontinuities" when they learn school mathematics. "Cultural discontinuity" is the main obstacle when they learn school mathematics. Teachers should put up the bridge for introducing ethnic mathematical knowledge into school mathematics teaching. The concrete tactics are: widening ethnic…

Zhao, Yan-jun

2011-01-01

125

Culture and Mathematics in School: Boundaries between "Cultural" and "Domain" Knowledge in the Mathematics Classroom and beyond  

ERIC Educational Resources Information Center

This chapter is about culture and mathematics teaching and learning. The authors' goal is to offer a thoughtful treatment of the role of culture in the teaching and learning of mathematics and to synthesize literature that is relevant to this concern from multiple subdisciplines in education, including math education, educational anthropology,…

Nasir, Na'ilah Suad; Hand, Victoria; Taylor, Edd V.

2008-01-01

126

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

ERIC Educational Resources Information Center

|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…

Hoffer, Alan R.

1993-01-01

127

Increasing Student Mathematics Self-Efficacy Through Teacher Training  

Microsoft Academic Search

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 possesses certain capabilities, and physiological states. Individuals use these four sources of information

Del Siegle; D. Betsy McCoach

2007-01-01

128

Increased Iris-lens Contact Following Spontaneous Blinking: Mathematical Modeling  

PubMed Central

The purpose of this work was to study in silico how iris root rotation due to spontaneous blinking alters the iris contour. An axisymmetric finite-element model of the anterior segment was developed that included changes in the iris contour and the aqueous humor flow. The model geometry was based on average values of ocular dimensions. Blinking was modeled by rotating the iris root posteriorly and returning it back to the anterior. Simulations with maximum rotations of 2°, 4°, 6°, and 8° were performed. The iris-lens contact distance and the pressure difference between the posterior and anterior chambers were calculated. When the peak iris root rotation was 2°, the maximum iris-lens contact increased gradually from 0.28 to 0.34 mm within eight blinks. When the iris root was rotated 6° and 8°, the pressure difference between the posterior and anterior chambers dropped from a positive value (1.23 Pa) to negative values (?0.86 and ?1.93 Pa) indicating the presence of reverse pupillary block. Apparent iris-lens contact increased with steady blinking, and the increase became more pronounced as posterior rotation increased. We conclude that repeated iris root rotation caused by blinking could maintain the iris in a posterior position under normal circumstances, which would then lead to the clinically-observed anterior drift of the iris when blinking is prevented.

Amini, Rouzbeh; Jouzdani, Sara

2012-01-01

129

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

ERIC Educational Resources Information Center

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

Boston, Melissa D.

2013-01-01

130

The building of pre-service primary teachers’ knowledge of mathematics teaching: interaction and online video case studies  

Microsoft Academic Search

This study explores how preservice primary teachers became engaged in meaning-making mathematics teaching when participating\\u000a in online discussions within learning environments integrating video-clips of mathematics teaching. We identified different\\u000a modes of participation in the online discussions and different levels of knowledge-building. The data can be explained by\\u000a the type of task set in the learning environments and by a gradually

Salvador Llinares; Julia Valls

2009-01-01

131

The importance of instruction in mathematical classrooms with increasing diversity of language. A model for description and analysis of instructional modes  

Microsoft Academic Search

In this paper the importance of teacher responsibility for knowledge generation in mathematical classrooms with increasing number of students with diverse language backgrounds is discussed. A model for description and analysis of important dimensions of teacher responsibility in instructional practise is proposed. This model challenges the potential of the traditional division into teacher- versus student-centred modes of instruction. To justify

Åse Hansson

132

INFLUENCING BEGINNING TEACHERS' PRACTICE IN MATHEMATICS EDUCATION: CONFRONTING CONSTRAINTS OF KNOWLEDGE, BELIEFS, AND CONTEXT  

Microsoft Academic Search

1 Recent calls to reform mathematics education ( National Council of Teachers of Mathematics, 1989a; National Research Council, 1989) pose considerable challenges to those entrusted with preparing teachers—the primary agents of change in the nation's K -12 classrooms. Two recent documents of the National Council of Teachers of Mathematics ((NCTM) 1989a, 1989b) describe a vision of mathematics classrooms where students

Sandra K. Wilcox; Perry Lanier; Pamela Schram; Glenda Lappan

133

Strategy choices in simple and complex addition: Contributions of working memory and counting knowledge for children with mathematical disability  

Microsoft Academic Search

Groups of first-grade (mean age ¼ 82 months), third-grade (mean age ¼ 107 months), and fifth-grade (mean age ¼ 131 months) children with a learning disability in mathematics (MD, n ¼ 58) and their normally achieving peers (n ¼ 91) were administered tasks that assessed their knowledge of counting principles, working memory, and the strategies used to solve simple (4

David C. Geary; Mary K. Hoard; Jennifer Byrd-Craven; M. Catherine DeSotob

2004-01-01

134

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

ERIC Educational Resources Information Center

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…

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

2011-01-01

135

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

ERIC Educational Resources Information Center

|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…

Pagliaro, C.; Kritzer, K. L.

2005-01-01

136

Opening up the Mathematics and Science Filters: Our Schools Did It, So Can Yours! A Nine Step Guide to Increasing Minority Student Participation in Mathematics and Science.  

ERIC Educational Resources Information Center

This publication is a practical guide to implementing the Mathematics, Science, and Minorities: K-6 (MSM: K-6) Project, a program to increase minority student participation in mathematics and sciences in the kindergarten through sixth grade levels. The guide is organized into five parts. Part 1 is an introduction that explains why minority…

American Univ., Washington, DC. Mid-Atlantic Equity Center.

137

Teaching What You Know or Knowing How to Teach? The Effects of Different Forms of Teacher Mathematics Knowledge on Student Achievement in Rural Guatemala  

Microsoft Academic Search

We analyze the effects of different forms of teacher mathematics knowledge on student achievement in six content areas using longitudinal data from rural Guatemala. The main contribution is the significant linkage between the teacher's pedagogical content knowledge (PCK) in elementary level mathematics, as measured by their responses to questions drawn from teaching situations, and student achievement gains. Additional measures of

Jeffery H. Marshall; M. Alejandra Sorto; Texas State

138

Investigating Parental Attitudes and Beliefs in Mathematics Education  

Microsoft Academic Search

This study investigated views held about mathematics education by parents of a small inner-city primary school. Similarities in responses indicated consistency of ideas. Respondents demonstrated a broad understanding of mathematics and disagreed with a number of stereotypical statements about mathematics and mathematics education. They were keen to increase their knowledge and understanding of the mathematics curriculum and teaching practices. They

Ruth Pritchard

139

Diabetes: increasing the knowledge base of mental health nurses.  

PubMed

Physical health assessment for people with a serious mental illness (SMI) has been a neglected issue, with all the evidence showing that mental health nurses (MHNs) and associated practitioners need to develop such skills. The University of Huddersfield and South West Yorkshire Partnership Foundation Trust collaborated in a Physical Skills Project with the aim of facilitating knowledge and skills for MHNs. The development of the education and training workshop is presented. The results of a pre- and post-test evaluation of diabetes, evaluation of the workshop and, finally, implications for practice with regard to transferable knowledge and skill, are discussed. PMID:24067307

Hemingway, Steve; Trotter, Fiona; Stephenson, John; Holdich, Phillip

2013-09-26

140

Developing Mathematics Content Knowledge along New Paths: Shifting from Student to Teacher  

ERIC Educational Resources Information Center

Today's classrooms pose many challenges for new mathematics teachers joining the teaching force. As they enter the teaching field, they bring a wide range of mathematical experiences that are often focused on calculations and memorization of concepts rather than problem solving and representation of ideas. Such experiences generally minimize what…

Enderson, Mary C.; Klerlein, Jacob T.; Johnson, Jason D.

2010-01-01

141

Mathematics, Anyone?  

ERIC Educational Resources Information Center

|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…

Reys, Robert; Reys, Rustin

2011-01-01

142

Increasing the Knowledge of Stratification in Shallow Coastal Environments  

NASA Astrophysics Data System (ADS)

A testbed has been established using Corpus Christi Bay as an environmental field facility to study the phenomenon of hypoxia that has been observed to develop at certain periods during the year. Stratification affects vertical turbulent mixing of heat, momentum and mass (or constituents) within the water column, in turn influencing the transport of material. The mixing threshold is dependent on the value of the Richardson Number, Ri with inhibition due to stratification occurring at low values (< 0.25) and complete vertical mixing occurring at high values (> 0.25) of Ri. Corpus Christi Bay with average depth of ~3 m is the largest among a system of five bays has been known to stratify due to inflows of hypersaline water (up to 50 psu) from adjoining bays, the Laguna Madre and Oso Bay. Laguna Madre is separated from the Gulf of Mexico by a barrier island and becomes hypersaline because of the imbalance between inflow of freshwater and bay evaporation. Hypersalinity also occurs in Oso Bay due to anthropogenic forcing from a power plant that draws 400 MGD of cooling water from the upper Laguna Madre, discharging waste water into Oso Bay. Several wastewater treatment plants also discharge directly into Oso Bay or its tributary streams. The objective of this study is to develop a methodology for prescribing a set of parameters required for modeling and characterization of hypoxia in this shallow wind-driven bay. The extent to which Ri is dependent on external forcing at the surface boundary was measured using our fully instrumented sensor platforms. Each sensor platform includes sensors for synchronic near-surface meteorological (wind velocity, barometric pressure, air temperature) and water column oceanographic (current, water temperature, conductivity, particle size distribution, particulate concentration, dissolved oxygen, nutrient) variables. These were measured using fixed and mobile vertical profiling sensor platforms. A 2D hydrodynamic model was initially 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.

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

2006-12-01

143

Origami Instruction in the Middle School Mathematics Classroom: Its Impact on Spatial Visualization and Geometry Knowledge of Students  

NSDL National Science Digital Library

Within the study of geometry in the middle school curriculum is the natural development of students' spatial visualization, the ability to visualize two- and three-dimensional objects. The national mathematics standards call specifically for the development of such skills through hands-on experiences. A commonly accepted method is through the instruction of Origami, the art of paper folding. This study focused on Origami's impact as a teaching tool in the middle school mathematics classroom. The effects of Origami instruction on a group of seventh grade mathematics students' (n = 56) spatial visualization skills and level of geometry understanding were investigated using a pre-test/post-test quasiexperimental design. A 2 (group) x 2 (gender) factorial method was used on gathered data via three separate spatial tests (Card Rotation, Paper Folding, and Surface Development Tests) and a subset of released National Assessment of Educational Progress questions. After controlling for initial differences, an analysis of covariance revealed a significant interaction effect between group and gender for one of three spatial visualization tests. For geometry knowledge, no significant differences were found. Results imply that Origami lessons blended within mathematics instruction are as beneficial as traditional instruction in building an understanding of geometric terms and concepts, though the approach affects the spatial ability of males and females differently.

Boakes, Norma J.

2009-01-01

144

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

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…

Bray, Wendy S.

2011-01-01

145

Increasing Academic Compliance with Mathematics Tasks Using the High-Preference Strategy with a Student with Autism  

ERIC Educational Resources Information Center

|The authors investigated the effectiveness of using high-preference (high-p) mathematics tasks for increasing task initiation of low-preference (low-p) mathematics tasks with a 13-year-old middle school student with autism. They used an ABAB design to determine the effectiveness of high-p tasks with to comply with low-p tasks. Results indicated…

Banda, Devender R.; Kubina, Richard M., Jr.

2009-01-01

146

Mathematical Resilience  

ERIC Educational Resources Information Center

|The term "mathematical resilience" is used to describe a learner's stance towards mathematics that enables pupils to continue learning despite finding setbacks and challenges in their mathematical learning journey. There are ways of working in mathematics that increase mathematical resilience and conversely there are ways of working that decrease…

Johnston-Wilder, Sue; Lee, Clare

2010-01-01

147

Mathematical Resilience  

ERIC Educational Resources Information Center

The term "mathematical resilience" is used to describe a learner's stance towards mathematics that enables pupils to continue learning despite finding setbacks and challenges in their mathematical learning journey. There are ways of working in mathematics that increase mathematical resilience and conversely there are ways of working that decrease…

Johnston-Wilder, Sue; Lee, Clare

2010-01-01

148

Multimedia Education Increases Elder Knowledge of Emergency Department Care  

PubMed Central

Introduction: Elders who utilize the emergency department (ED) may have little prospective knowledge of appropriate expectations during an ED encounter. Improving elder orientation to ED expectations is important for satisfaction and health education. The purpose of this study was to evaluate a multi-media education intervention as a method for informing independently living elders about ED care. The program delivered messages categorically as, the number of tests, providers, decisions and disposition decision making. Methods: Interventional trial of representative elders over 59 years of age comparing pre and post multimedia program exposure. A brief (0.3 hour) video that chronicled the key events after a hypothetical 911 call for chest pain was shown. The video used a clinical narrator, 15 ED health care providers, and 2 professional actors for the patient and spouse. Pre- and post-video tests results were obtained with audience response technology (ART) assessed learning using a 4 point Likert scale. Results: Valid data from 142 participants were analyzed pre to post rankings (Wilcoxon signed-rank tests). The following four learning objectives showed significant improvements: number of tests expected [median differences on a 4-point Likert scale with 95% confidence intervals: 0.50 (0.00, 1.00)]; number of providers expected 1.0 (1.00, 1.50); communications 1.0 (1.00, 1.50); and pre-hospital medical treatment 0.50 (0.00, 1.00). Elders (96%) judged the intervention as improving their ability to cope with an ED encounter. Conclusion: A short video with graphic side-bar information is an effective educational strategy to improve elder understanding of expectations during a hypothetical ED encounter following calling 911.

Terndrup, Thomas E.; Ali, Sameer; Hulse, Steve; Shaffer, Michele; Lloyd, Tom

2013-01-01

149

Concept Maps & Schematic Diagrams as Devices for Documenting the Growth of Mathematical Knowledge  

Microsoft Academic Search

The major focus of this study is to trace the cognitive development of students throughout a mathematics course and to seek the qualitative differences between those of different levels of achievement. The aspect of the project described here concerns the use of concept maps constructed by the students at intervals during the course. From these maps, schematic diagrams were constructed

Mercedes McGowen; David Tall

2006-01-01

150

Conceptual Visibility and Virtual Dynamics in Technology-scaffolded Learning Environments for Conceptual Knowledge of Mathematics  

Microsoft Academic Search

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 manipulatives, the researchers in this study consider achievement a

Julie McLeod; Sheri Vasinda; Mary Jo Dondlinger

2012-01-01

151

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

ERIC Educational Resources Information Center

|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…

Siemon, Dianne E.

2009-01-01

152

Ethnic differences in knowledge and attitudes about BRCA1 testing in women at increased risk  

Microsoft Academic Search

Informed consent for BRCA1 mutation testing will require adequate knowledge of patterns of inheritance of cancer and the benefits, limitations, and risks of DNA testing. This study examined knowledge about the inheritance of breast cancer and attitudes about genetic testing for breast–ovarian cancer susceptibility in women at increased risk. Knowledge and attitudes were measured in 407 African American and Caucasian

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

1997-01-01

153

Developing Teachers' Technological, Pedagogical, and Content Knowledge (TPACK) through Mathematics Professional Development  

ERIC Educational Resources Information Center

|In recent years, educational technologists have advanced the construct Technological and Pedagogical Content Knowledge (TPACK) to describe teachers' knowledge related to effectively integrating technology. In this paper, I use the TPACK framework to examine elementary school teachers' experience in a year-long professional development program,…

Polly, Drew

2011-01-01

154

The Interplay between the Beliefs and the Knowledge of Mathematics Teachers  

ERIC Educational Resources Information Center

There is considerable research on teachers' beliefs and teachers' knowledge, but little empirical evidence exists as to the interplay between them. This article reports a study of 356 Norwegian teachers who answered a questionnaire and a multiple-choice test. Based on this study, the connections between two knowledge constructs and two beliefs…

Drageset, Ove Gunnar

2010-01-01

155

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

ERIC Educational Resources Information Center

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…

Pray, Lisa; Ilieva, Vessela

2011-01-01

156

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

ERIC Educational Resources Information Center

|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…

Pray, Lisa; Ilieva, Vessela

2011-01-01

157

How Do Students Learn to Apply their Mathematical Knowledge to Interpret Graphs in Physics?  

NSDL National Science Digital Library

This article describes a laboratory-based program in physics designed to help students build effective links between the mathematical equations used to solve problems in mechanics and the real world of moving objects. The program is based on a study conducted among senior college students, which illustrated out the value of laboratory work in science education for development of thinking skills and positive attitudes (Contains 14 references).

Woolnough, Jim

2006-09-14

158

How do students learn to apply their mathematical knowledge to interpret graphs in physics?  

Microsoft Academic Search

This paper describes a laboratory-based program in physics designed to help students build effective links between the mathematical\\u000a equations used to solve problems in mechanics and the real world of moving objects. Through the analysis of straight line\\u000a graphs derived from their own data students have been able to achieve a considerable development towards a concept of slope,\\u000a or gradient,

Jim Woolnough

2000-01-01

159

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

|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…

Barham, Peter J.

2012-01-01

160

Increasing Hepatitis C Knowledge Among Homeless Adults: Results of a Community-Based, Interdisciplinary Intervention.  

PubMed

Homeless adults have high rates of hepatitis C virus infection (HCV) and low levels of HCV knowledge. This study reports results of an interdisciplinary, community-based intervention using stakeholder cooperation, case management, risk factor identification, and modification of dysfunctional psychosocial factors to increase HCV knowledge among homeless adults (N?=?747). Data are from a randomized quasi-experimental study, with the major goal of evaluating the effectiveness of a Nurse Case Managed Intervention compared to a Standard Intervention, encouraging completion of a three-series hepatitis A/hepatitis B vaccination program. Increased HCV knowledge was measured with an 18-item questionnaire discerning risk factors for HCV and common misconceptions about individuals with HCV. A significant increase in HCV knowledge resulted regardless of intervention format. Receiving the Nurse Case Managed Intervention predicted greatest gain in HCV knowledge (p?increasing HCV knowledge. PMID:23616250

Tyler, Darlene; Nyamathi, Adeline; Stein, Judith A; Koniak-Griffin, Deborah; Hodge, Felicia; Gelberg, Lillian

2013-04-25

161

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

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

Mousavi, Shima; Radmehr, Farzad; Alamolhodaei, Hasan

2012-01-01

162

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

|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

Mousavi, Shima; Radmehr, Farzad; Alamolhodaei, Hasan

2012-01-01

163

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

ERIC Educational Resources Information Center

|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)|

Young, Charlotte F.; Witter, John A.

1994-01-01

164

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

ERIC Educational Resources Information Center

|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…

An, Shuhua; Wu, Zhonghe

2012-01-01

165

Subject Matter Knowledge: Mathematical Errors and Misconceptions of Beginning Pre-Service Teachers  

Microsoft Academic Search

an understanding of what makes the learning of spec ific topics easy or difficult: the conceptions and preconceptions that students of different ages and backgrounds bring with them … If those preconceptions are misconceptions, which they often are, teachers need knowledge of the strategies most likely to be fruitful in reorganizing the unde rstanding of learners. (Shulman, 1986, pp. 9-10)

Julie Ryan; Barry McCrae

166

Links between Content Knowledge and Practice in a Mathematics Teacher Education Course: A Case Study  

ERIC Educational Resources Information Center

This qualitative study examined the link between content knowledge and classroom practice from the perceptions of two university lecturers. The study was contextualized at a higher education institution in South Africa where the two university lecturers were lecturing to a second year undergraduate teacher trainee class (n = 78). The research was…

Brijlall, D.; Isaac, V.

2011-01-01

167

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

ERIC Educational Resources Information Center

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…

An, Shuhua; Wu, Zhonghe

2012-01-01

168

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

ERIC Educational Resources Information Center

|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…

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

2010-01-01

169

The Study of Knowledge Retention and Increased Learning Through the Use of Performance Based Tasks  

Microsoft Academic Search

This study examines the effect of complex performance assessments with multiple embedded tasks on both student performance and retention of knowledge in a senior\\/graduate level engineering decision theory class. The research looks at whether a performance based task covering a subset of content also covered in a traditional cognitive test results in increased learning and knowledge retention beyond the traditional

Regina D. Rahn; Reinaldo J. Moraga

170

Increasing knowledge of neurodevelopmental disorders in a group of adolescent mothers  

Microsoft Academic Search

Description: The goal of this project was to increase teen mothers' knowledge of neurodevelopmental disorders and the services provided locally to assist both children and families. We hope that such knowledge will help young mothers become effective advocates for their children. To achieve these goals, we presented information about neurodevelopmental disorders and services to a group of young mothers as

Nicole McCray; Brooke Spangler

171

AUTHORITY AND ESTEEM EFFECTS OF ENHANCING REMOTE INDIGENOUS TEACHER-ASSISTANTS' MATHEMATICS-EDUCATION KNOWLEDGE AND SKILLS1  

Microsoft Academic Search

The interaction between Australia's Eurocentric education and the complex culture of remote Indigenous communities often results in Indigenous disempowerment and educational underperformance. This paper reports on a mathematics-education research project in a remote community to support Indigenous teacher assistants (ITAs) in mathematics and mathematics tutoring in an attempt to reverse Indigenous mathematics underperformance. It discusses teachers' and ITAs' power and

Annette R Baturo; Tom J Cooper; Katherine Doyle

2008-01-01

172

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

ERIC Educational Resources Information Center

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…

Hoskinson, Anne-Marie

2010-01-01

173

A web-based educational module increases burn prevention knowledge over time.  

PubMed

Unfortunately, burn prevention knowledge is low among nurses. Establishing efficient ways in which to increase burn prevention knowledge in nurses is warranted. The current multi-center study evaluated whether a web-based educational module was successful at increasing burn prevention immediately and whether the knowledge was retained over time. A valid, reliable burn prevention knowledge exam was administered to nurse at three time points (prior to receiving the educational module, immediately following receiving the educational module, and at least a minimum of two weeks after receiving the educational module). Generalized linear mixed effects modeling methods were used to evaluate whether scores on the burn prevention knowledge exam increased over time, while adjusting for traditional covariates (e.g., specialty area, years as a nurse, and years in current work area). Mean scores on the burn prevention knowledge exam increased over time (p=0.003); establishing that the educational module significantly improves scores over time. Mean score prior to receiving the educational module was 82.3%; the mean score was 83.8% immediately following receiving the educational module, and 86.1% two weeks after receiving the educational module. The educational module developed by the authors (www.burnpreventionstudy.org) is an efficient way in which to increase burn prevention knowledge and is available at their convenience. This education module could be used as a training module with nurses involved in burn prevention outreach, and with nurse practitioners, physicians, and emergency responders involved in primary care across the life span. PMID:21726946

Lehna, Carlee; Ramos, Pedro; Myers, John; Coffey, Rebecca; Kirk, Elizabeth

2011-07-02

174

Levels of line graph question interpretation with intermediate elementary students of varying scientific and mathematical knowledge and ability: A think aloud study  

NASA Astrophysics Data System (ADS)

This study examined how intermediate elementary students' mathematics and science background knowledge affected their interpretation of line graphs and how their interpretations were affected by graph question levels. A purposive sample of 14 6th-grade students engaged in think aloud interviews (Ericsson & Simon, 1993) while completing an excerpted Test of Graphing in Science (TOGS) (McKenzie & Padilla, 1986). Hand gestures were video recorded. Student performance on the TOGS was assessed using an assessment rubric created from previously cited factors affecting students' graphing ability. Factors were categorized using Bertin's (1983) three graph question levels. The assessment rubric was validated by Padilla and a veteran mathematics and science teacher. Observational notes were also collected. Data were analyzed using Roth and Bowen's semiotic process of reading graphs (2001). Key findings from this analysis included differences in the use of heuristics, self-generated questions, science knowledge, and self-motivation. Students with higher prior achievement used a greater number and variety of heuristics and more often chose appropriate heuristics. They also monitored their understanding of the question and the adequacy of their strategy and answer by asking themselves questions. Most used their science knowledge spontaneously to check their understanding of the question and the adequacy of their answers. Students with lower and moderate prior achievement favored one heuristic even when it was not useful for answering the question and rarely asked their own questions. In some cases, if students with lower prior achievement had thought about their answers in the context of their science knowledge, they would have been able to recognize their errors. One student with lower prior achievement motivated herself when she thought the questions were too difficult. In addition, students answered the TOGS in one of three ways: as if they were mathematics word problems, science data to be analyzed, or they were confused and had to guess. A second set of findings corroborated how science background knowledge affected graph interpretation: correct science knowledge supported students' reasoning, but it was not necessary to answer any question correctly; correct science knowledge could not compensate for incomplete mathematics knowledge; and incorrect science knowledge often distracted students when they tried to use it while answering a question. Finally, using Roth and Bowen's (2001) two-stage semiotic model of reading graphs, representative vignettes showed emerging patterns from the study. This study added to our understanding of the role of science content knowledge during line graph interpretation, highlighted the importance of heuristics and mathematics procedural knowledge, and documented the importance of perception attentions, motivation, and students' self-generated questions. Recommendations were made for future research in line graph interpretation in mathematics and science education and for improving instruction in this area.

Keller, Stacy Kathryn

175

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

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…

Gullie, Kathy A.

2011-01-01

176

Remedial Mathematics for Quantum Chemistry  

ERIC Educational Resources Information Center

|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

Koopman, Lodewijk; Brouwer, Natasa; Heck, Andre; Buma, Wybren Jan

2008-01-01

177

Knowledge and Attitudes of Ugandan Preservice Science and Mathematics Teachers Toward Global and Ugandan Science and Technology-Based Problems and\\/or Threats  

Microsoft Academic Search

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 questions on the preassessment indicated

Michael Robinson; Basil Tibanyendera; Debbie Seltzer-Kelly

2007-01-01

178

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

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…

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

179

Levels of line graph question interpretation with intermediate elementary students of varying scientific and mathematical knowledge and ability: A think aloud study  

Microsoft Academic Search

This study examined how intermediate elementary students' mathematics and science background knowledge affected their interpretation of line graphs and how their interpretations were affected by graph question levels. A purposive sample of 14 6th-grade students engaged in think aloud interviews (Ericsson & Simon, 1993) while completing an excerpted Test of Graphing in Science (TOGS) (McKenzie & Padilla, 1986). Hand gestures

Stacy Kathryn Keller

2008-01-01

180

Evaluation of a media campaign to increase knowledge about emergency contraception.  

PubMed

Our objective was to evaluate a media campaign designed to increase knowledge about emergency contraception. Random telephone surveys were conducted before and after the campaign to measure changes in knowledge about emergency contraception. Change in the volume of calls to the Emergency Contraception Hotline (1-888-NOT-2-LATE) was a secondary measure of impact. Significant increases occurred in the proportions of women who knew that something could be done after intercourse to prevent pregnancy, who knew the term emergency contraception, who knew of the 72-h time limit, and who had heard of the Hotline. In addition, the number of calls to the Hotline increased substantially. A public education media campaign resulted in significant increases in knowledge about emergency contraception. The first contraception advertisement ever shown on television did not provoke controversy. PMID:11292472

Trussell, J; Koenig, J; Vaughan, B; Stewart, F

2001-02-01

181

Mathematical Thinking & the Brain  

Microsoft Academic Search

Though our knowledge of brain activity is still rudimentary, it is becoming increasingly clear that our partial understanding of the phenomenon can give significant insight into mental processes; in particular our growing understanding of the brain itself highlights certain aspects of mathematical thinking. In considering the brain we must first decide which level (or levels) of structure we wish to

David Tall

1978-01-01

182

Increasing the Number of Mathematics and Science Teachers: A Review of Teacher Recruitment Programs.  

ERIC Educational Resources Information Center

Describes national, state, and local policies and programs aimed at alleviating mathematics and science teacher shortages, focusing on program effectiveness (how recruitment efforts are measured and what strategies have been effective in the past). The paper discusses issues specific to the problems of recruiting teachers in these fields and…

Clewell, Beatriz Chu; Forcier, Laurie B.

2001-01-01

183

Community and Videos: An Action Plan to Increase Success Rates in California Community College Developmental Mathematics  

ERIC Educational Resources Information Center

|Success rates in California community college developmental mathematics courses have hovered around 50% for decades. These gatekeeper courses have prevented many students from earning college degrees. Since community college is the starting point for the majority of California's potential college graduates and the majority of these students…

Long, Gary W.

2010-01-01

184

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

ERIC Educational Resources Information Center

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…

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

2011-01-01

185

Cancer knowledge increases after a brief intervention among Arab Americans in Michigan.  

PubMed

The objective of this study was to examine which factors are associated with increased cancer knowledge among a sample of 866 Arab Americans 40 years of age or older. Individuals were invited to attend a cancer educational intervention and obtain a free cancer health screening. They were asked to complete a precancer and postcancer knowledge survey after the brief educational intervention. Using logistic regression, we found that the intervention increased cancer knowledge and the variables most associated with this improvement were having low education, being unemployed, having lived in the USA for 0-5 years, older age, not having insurance, and not exercising. Our study showed that these interventions may be more effective if tailored to the participant's educational, employment, duration in the US, and health behavior status. Future studies should examine whether cancer screening actually increases after an educational intervention. PMID:21116769

Dallo, Florence J; Zakar, Tabitha; Borrell, Luisa N; Fakhouri, Monty; Jamil, Hikmet

2011-03-01

186

A community effort towards a knowledge-base and mathematical model of the human pathogen Salmonella Typhimurium LT2  

Microsoft Academic Search

BACKGROUND: 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. RESULTS: Here, we describe a community-driven

Ines Thiele; Daniel R. Hyduke; Benjamin Steeb; Guy Fankam; Douglas K. Allen; Susanna Bazzani; Pep Charusanti; Feng-Chi Chen; Ronan MT Fleming; Chao A. Hsiung; Sigrid CJ De Keersmaecker; Yu-Chieh Liao; Kathleen Marchal; Monica L. Mo; Emre Özdemir; Anu Raghunathan; Jennifer L. Reed; Sook-Il Shin; Sara Sigurbjörnsdóttir; Jonas Steinmann; Suresh Sudarsan; Neil Swainston; Inge M. Thijs; Karsten Zengler; Bernhard O. Palsson; Joshua N. Adkins; Dirk Bumann

2011-01-01

187

Increasing the Representation of People with Disabilities in Science, Engineering, and Mathematics  

NSDL National Science Digital Library

This academic paper identifies three main factors that cause individuals with disabilities to be under-represented in science, engineering, and mathematics fields: preparation of students with disabilities; access to facilities, programs, and equipment; and acceptance by educators, employers and co-workers. This paper explores the role of information technology, describes a campus program designed to positively influence each of the factors, and makes a series of recommendations for action.

Burgstahler, Sheryl

2007-05-29

188

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

|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…

Mitchell, Rebecca Noelle

2009-01-01

189

Using Peer Education to Increase Sexual Health Knowledge Among West African Refugees in Western Australia  

Microsoft Academic Search

Ten bilingual West African peer educators conducted a 3-hour workshop on sexual health for small groups of West African refugees (N = 58) who recently had settled in Perth, Western Australia. There were significant increases in the participants’ knowledge of sexually transmitted infections and HIV, how these infections are spread, and how to protect against infection. In addition, attitudes toward

Peter D. Drummond; Ayse Mizan; Katie Brocx; Bernadette Wright

2011-01-01

190

Increased Persuasion Knowledge of Video News Releases: Audience Beliefs About News and Support for Source Disclosure  

Microsoft Academic Search

Video news releases (VNRs) have been criticized when they are used within a newscast without source disclosure because they violate ethical codes related to transparency and consumers' “right to be informed” by whom they are being persuaded. In an experiment, we show how increased persuasion knowledge about VNRs is positively related to beliefs in news commercialization, beliefs in VNR inappropriateness

Michelle R. Nelson; Michelle L. M. Wood; Hye-Jin Paek

2009-01-01

191

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

ERIC Educational Resources Information Center

|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…

Nolan, Jessica M.

2010-01-01

192

“An Inconvenient Truth” Increases Knowledge, Concern, and Willingness to Reduce Greenhouse Gases  

Microsoft Academic Search

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 emissions.Two studies are reported, one

Jessica M. Nolan

2010-01-01

193

A Descriptive Study of Single Adults in Homeless Shelters: Increasing Counselors' Knowledge and Social Action  

ERIC Educational Resources Information Center

This article is intended to help counselors increase their knowledge and social action for single adults who are homeless. Findings from a period-prevalence study of 71 single adults in a homeless shelter over 2 years reveal demographics, mental health needs, and sociopolitical issues of this population. Implications including social justice…

Baggerly, Jennifer; Zalaquett, Carlos P.

2006-01-01

194

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

ERIC Educational Resources Information Center

|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…

Bigler, Amber M.; Hanegan, Nikki L.

2011-01-01

195

SUPPORTING TEACHERS TO INCREASE RETENTION  

Microsoft Academic Search

Several national reports have identified the need to increase the pool of highly qualified mathematics teachers as a way to improve mathematics education. However, providing high quality mathematics education for all students goes beyond the recruitment of knowledgeable teachers. This working group is designed to offer an opportunity to examine the role that professional development and support play in the

Axelle Faughn; Terran Felter; Barbara Pence

196

AFT's Thinking Mathematics Program. Item Number 39-0462  

ERIC Educational Resources Information Center

|This brochure highlights key concepts of the American Federation of Teachers (AFT) "Thinking Mathematics" courses. Citing adherence to No Child left Behind Act (NCLB) mandates, these courses are: (1) based on scientific research about how children learn mathematics; (2) designed to increase teacher mathematical knowledge; (3) provide a sustained,…

American Federation of Teachers, 2003

2003-01-01

197

AFT's Thinking Mathematics Program. Item Number 39-0462  

ERIC Educational Resources Information Center

This brochure highlights key concepts of the American Federation of Teachers (AFT) "Thinking Mathematics" courses. Citing adherence to No Child left Behind Act (NCLB) mandates, these courses are: (1) based on scientific research about how children learn mathematics; (2) designed to increase teacher mathematical knowledge; (3) provide a sustained,…

American Federation of Teachers, 2003

2003-01-01

198

Development of Pre-Service Mathematics Teachers' Professional Knowledge and Identity in Working with Information and Communication Technology.  

ERIC Educational Resources Information Center

|Describes the work undertaken in a course on communication and information technology (ICT) in a pre-service program for secondary school mathematics teachers. This course aimed to help pre-service teachers develop a positive attitude towards ICT and use it confidently. Discusses how the pre-service mathematics teachers evaluate their work…

da Ponte, Joao Pedro; Oliveira, Helia; Varandas, Jose Manuel

2002-01-01

199

A community effort towards a knowledge-base and mathematical model of the human pathogen Salmonella Typhimurium LT2  

PubMed Central

Background 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. Results 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. Conclusion 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.

2011-01-01

200

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?  

Microsoft Academic Search

Panel estimation techniques are utilized to estimate econometric models of the determinants of mathematics achievement for a nationally representative sample of US high school students from the National Education Longitudinal Studies program (NELS88).Among the results, several relate to variables discussed as potentially important policy variables. Extra time spent on mathematics homework increases student test scores while extra hours per day

Tevfik Aksoy; Charles R. Link

2000-01-01

201

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

|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…

Griffin, Sharon

2009-01-01

202

From Preschool Teachers' Professional Development to Children's Knowledge: Comparing Sets  

ERIC Educational Resources Information Center

Recently, there have been increased calls for enhancing preschool children's mathematics knowledge along with increasing calls for preparing preschool teachers to meet the demands of new preschool mathematics curricula. This article describes the professional development program Starting Right: Mathematics in Preschools. Focusing on four episodes…

Tirosh, Dina; Tsamir, Pessia; Levenson, Esther; Tabach, Michal

2011-01-01

203

Increasing the Process Capacity of a Knowledge Intensive Process Through the Use of Process Reengineering and Knowledge-Value Added Methodologies.  

National Technical Information Service (NTIS)

In the increasingly dynamic environment of information technology, it has become imperative that organizations continue to seek ways to effectively capture and measure knowledge in order to survive. With the emergence of a global economy and information n...

E. A. Campbell J. L. Baxter

2003-01-01

204

Special Education Teacher Knowledge of Literacy: An Analysis of Two Preparation Programs' Effectiveness in Increasing Subject-Matter Knowledge and Pedagogical Content Knowledge of Reading Comprehension  

ERIC Educational Resources Information Center

|Special educators' knowledge of reading concepts are not only influenced by their understanding of the subject matter, but also by an amalgam of content and pedagogy that enables teachers to integrate this information to meet the diverse needs of students with disabilities. This study documented the conceptual knowledge that special education…

James, Susanne M.

2011-01-01

205

Increase in medical knowledge during the final year of undergraduate medical education in Germany  

PubMed Central

Aims: In Germany, the final year of undergraduate medical education (‘practice year’) consists of three 16-week clinical attachments, two of which are internal medicine and surgery. Students can choose a specific specialty for their third 16-week attachment. Practice year students do not receive specific teaching to prepare them for the National Licensing Examination. It is unknown whether knowledge levels increase during this year. This study aimed at assessing knowledge at the beginning and the end of the final year of medical school. Methods: Three hundred pre-selected United States Medical Licensing Examination type items from ten medical disciplines were reviewed by ten recent medical graduates from the Netherlands and Germany. The resulting test included 150 items and was taken by 77 and 79 final year medical students from Göttingen and Hamburg at the beginning and the end of their practice year, respectively. Results: Cronbach’s ? of the pre- and post-test was 0.75 and 0.68, respectively. Mean percent scores in the pre- and post-test were 63.9±6.9 and 69.4±5.7, respectively (p<0.001; effect size calculated as Cohen’s d: 0.87). In individual students, post-test scores were particularly high for items related to their specific chosen specialty. Conclusion: The knowledge test used in this study provides a suitable external tool to assess progress of undergraduate medical students in their knowledge during the practice year. The pre-test may be used to guide individual learning behaviour during this final year of undergraduate education.

Raupach, Tobias; Vogel, Daniela; Schiekirka, Sarah; Keijsers, Carolina; Ten Cate, Olle; Harendza, Sigrid

2013-01-01

206

Becoming Literate in Mathematics and Science: The Knowledge and Skills To Handle the Ever-Changing World with Confidence.  

ERIC Educational Resources Information Center

|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…

Thorson, Annette, Ed.

2001-01-01

207

Science discipline knowledge in primary teacher education: Responses to the discipline review of teacher education in mathematics and science  

NASA Astrophysics Data System (ADS)

This paper describes a study of primary teacher educators reaction to those aspects of the Discipline Review of Teacher Education in Mathematics and Science dealing with early childhood and primary pre-service teacher education. Interviews with two of the authors of the Review are also reported.

Symington, David; Mackay, Lindsay

1991-12-01

208

Science discipline knowledge in primary teacher education: Responses to the discipline review of teacher education in mathematics and science  

Microsoft Academic Search

This paper describes a study of primary teacher educators reaction to those aspects of theDiscipline Review of Teacher Education in Mathematics and Science dealing with early childhood and primary pre-service teacher education. Interviews with two of the authors of the Review\\u000a are also reported.

David Symington; Lindsay Mackay

1991-01-01

209

Teacher-Student Interaction in Joint Word Problem Solving. The Role of Situational and Mathematical Knowledge in Mainstream Classrooms  

ERIC Educational Resources Information Center

|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…

Rosales, Javier; Vicente, Santiago; Chamoso, Jose M.; Munez, David; Orrantia, Josetxu

2012-01-01

210

Origami Instruction in the Middle School Mathematics Classroom: Its Impact on Spatial Visualization and Geometry Knowledge of Students  

ERIC Educational Resources Information Center

|Within the study of geometry in the middle school curriculum is the natural development of students' spatial visualization, the ability to visualize two- and three-dimensional objects. The national mathematics standards call specifically for the development of such skills through hands-on experiences. A commonly accepted method is through the…

Boakes, Norma J.

2009-01-01

211

Does Prior Mathematics Knowledge Really Lead to Variation in Elementary Statistics Performance?: Evidence from a Developing Country  

ERIC Educational Resources Information Center

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…

Woodward, George; Galagedera, Don

2006-01-01

212

Item characteristic curves estimated without knowledge of their mathematical form—a confrontation of Birnbaum's logistic model  

Microsoft Academic Search

Item characteristic curves are estimated without restrictive assumptions about their mathematical form. The resulting curves are compared with estimates obtained under the assumption that all curves are of logistic form. Surprising agreement is found between the curves obtained by the two unrelated methods.

Frederic M. Lord

1970-01-01

213

Perception of stroke and knowledge of potential risk factors among Omani patients at increased risk for stroke  

Microsoft Academic Search

BACKGROUND: Previous studies have demonstrated poor knowledge of stroke among patients with established risk factors. This study aims to assess the baseline knowledge, among patients with increased risk for stroke in Oman, of warning symptoms of stroke, impending risk factors, treatment, and sources of information. METHODS: In April 2005, trained family practice residents at Sultan Qaboos University Hospital Clinics (cardiology,

Mohammed A Al Shafaee; Shyam S Ganguly; Abdullah R Al Asmi

2006-01-01

214

Harnessing visual media in environmental education: increasing knowledge of orangutan conservation issues and facilitating sustainable behaviour through video presentations  

Microsoft Academic Search

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 shown two styles of educational presentation (knowledge-based, emotive), representative of material widely available

Elissa Pearson; Jillian Dorrian; Carla Litchfield

2011-01-01

215

Utah's New Mathematics Core  

ERIC Educational Resources Information Center

|Utah has adopted more rigorous mathematics standards known as the Utah Mathematics Core Standards. They are the foundation of the mathematics curriculum for the State of Utah. The standards include the skills and understanding students need to succeed in college and careers. They include rigorous content and application of knowledge and reflect…

Utah State Office of Education, 2011

2011-01-01

216

A Study on Prospective Science Teachers' Knowledge and Achievement Levels in Mathematical Logic in Electricity-Related Subjects  

ERIC Educational Resources Information Center

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…

Yilmaz, Ismail

2012-01-01

217

Teachers' Subject Matter Knowledge as a Teacher Qualification: A Synthesis of the Quantitative Literature on Students' Mathematics Achievement  

ERIC Educational Resources Information Center

The aim of this paper is to examine a variety of features of research that might account for mixed findings of the relationship between teachers' subject matter knowledge and student achievement based on meta-analytic technique. Of several variables that might contribute to inconsistencies and variations in study findings, three features of…

Ahn, Soyeon; Choi, Jinyoung

2004-01-01

218

What Do They Know? A Comparison of Pre-Service Teachers' and Inservice Teachers' Decimal Mathematical Content Knowledge  

ERIC Educational Resources Information Center

The main aim of this paper is to report on an investigation into primary pre-service and inservice teachers' content knowledge of decimals. The participants were asked to complete four decimal tasks including the ordering of decimals, operating with decimals and converting a fraction to a decimal. The results from both sets of participants are…

Muir, Tracey; Livy, Sharyn

2012-01-01

219

Evolution for Everyone: How to Increase Acceptance of, Interest in, and Knowledge about Evolution  

Microsoft Academic Search

A success story about teaching evolution: when presented as unthreatening, explanatory, and useful, evolution can be easily appreciated by most people, regardless of their religious and political beliefs or prior knowledge of evolution.

David Sloan Wilson

2005-01-01

220

Use of video games to increase sport knowledge and game-play performance  

Microsoft Academic Search

Twenty-seven novice football coaches 18-30 years in age were recruited to participate in this study. The study consisted of three parts: the pre-test, intervention, and post-test. A knowledge score, football experience, and XBOX 360 experience were all obtained at baseline (pre-test). Knowledge was then tested again at post-test to track changes over the intervention. An intervention consisting of six practice

Mark Allan Sanger

2009-01-01

221

Does knowledge about sexually transmitted infections increase the likelihood of consistent condom use?  

Microsoft Academic Search

Background. We aimed to assess the association between knowledge about sexually transmitted infections (STIs) and consistent condom use among university students controlling for selected socio-demographic factors.Method. An anonymous questionnaire survey was carried out among 720 undergraduate students (76% women) at the University of Tirana, Albania, in October–November 2002. The questionnaire included socio-demographic data, 10 multiple-choice test questions on knowledge about

Genc Burazeri; Enver Roshi; Nertila Tavanxhi

2004-01-01

222

Celebrating Mathematics All Year 'Round  

ERIC Educational Resources Information Center

|Celebrating mathematics should be a yearlong event in which students in mathematics classes of all levels engage in mathematics activities and competitions that will encourage growth in mathematical knowledge, enthusiasm for the subject, and collaboration among students of different abilities and backgrounds. Pi Day and Pi Week festivities--a…

Daire, Sandra Arguelles

2010-01-01

223

Making Ontology-Based Knowledge and Decision Trees Interact: An Approach to Enrich Knowledge and Increase Expert Confidence in Data-Driven Models  

Microsoft Academic Search

\\u000a When using data-driven models to make simulations and predictions in experimental sciences, it is essential for the domain\\u000a expert to be confident about the predicted values. Increasing this confidence can be done by using interpretable models, so\\u000a that the expert can follow the model reasoning pattern, and by integrating expert knowledge to the model itself. New pieces\\u000a of useful formalised

Iyan Johnson; Joël Abécassis; Brigitte Charnomordic; Sébastien Destercke; Rallou Thomopoulos

2010-01-01

224

The Internationalization Process of the Firm—A Model of Knowledge Development and Increasing Foreign Market Commitments  

Microsoft Academic Search

On the basis of empirical research, a model of the internationalization process of the firm is developed. The model focuses on the gradual acquisition, integration and use of knowledge about foreign markets and operations, and on the incrementally increasing commitments to foreign markets. In particular, attention is concentrated on the increasing involvement in the individual foreign country.© 1977 JIBS. Journal

Jan Johanson; Jan-Erik Vahlne

1977-01-01

225

Increasing Levels of Cognitive Interactions in Preservice Teachers Using Materials Created To Develop the Knowledge Base.  

ERIC Educational Resources Information Center

|This paper presents data from an ongoing project in several teacher education classes that required students to use reflective analyses in evaluating the implications of knowledge and selecting practices for use in their own future classrooms. The methodology looked at changing one aspect of the learning process--the quality of the responses…

Newman, Kathryn A.

226

Increasing paramedics' comfort and knowledge about children with special health care needs  

Microsoft Academic Search

This study evaluated a continuing education program for paramedics about children with special health care needs (CSHCN). Pretraining, posttraining, and follow-up surveys containing two scales (comfort with CSHCN management skills and comfort with Pediatric Advanced Life Support [PALS] skills) were administered. Objective measures of knowledge were obtained from pre- and posttraining tests. Differences in average scores were assessed using t-tests.

Daniel W. Spaite; Katherine J. Karriker; Marsha Seng; Carol Conroy; Norma Battaglia; Mark Tibbitts; Harvey W. Meislin; Ronald M. Salik; Terence D. Valenzuela

2000-01-01

227

Revisiting Professional Learning Communities to Increase College Readiness: The Importance of Pedagogical Content Knowledge  

ERIC Educational Resources Information Center

|For over a decade, professional learning communities (PLCs) have been touted as an effective way to build upon the knowledge and skills of experienced teachers, yet much of the evidence base is derived from self-reports by practitioners. Although several generations of school reform (the standards movement, No Child Left Behind, and now the…

Bausmith, Jennifer Merriman; Barry, Carol

2011-01-01

228

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

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;…

Congress of the U.S., Washington, DC. House.

229

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

|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;…

Congress of the U.S., Washington, DC. House.

230

Does political knowledge increase turnout? Evidence from the 1997 British general election  

Microsoft Academic Search

A number of recent formal models predict a positive effect of political knowledge on turnout. Both information acquisition\\u000a and turnout, however, are likely to be determined by a similar set of variables, rendering hard the identification of a causal\\u000a link in empirical investigations. Available empirical regularities should therefore be interpreted as mere correlations. I\\u000a address this problem by using an

Valentino Larcinese

2007-01-01

231

Exploring Mathematics Teacher Knowledge to Explain the Gap between Theory-Based Recommendations and School Practice in the Use of Connecting Tasks  

ERIC Educational Resources Information Center

This study is grounded in the theoretical position that solving problems in different ways creates mathematical connections when learning and teaching mathematics. It acknowledges the central role teachers play in providing students with learning opportunities, and it is based on the empirical finding that mathematics teachers are reluctant to…

Leikin, Roza; Levav-Waynberg, Anat

2007-01-01

232

A Model Workshop to Increase Knowledge of African-American Reference Sources for Public Services Library Staff  

Microsoft Academic Search

This article describes the planning, organization, and implementation of a reference workshop for public services staff of the St. Louis Public Library (St. Louis, MO), designed to increase their knowledge of African-American reference sources. Participant evaluations are analyzed and presented with recommendations for model modification and follow-up.

Rudolph Clay Jr

2000-01-01

233

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

|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…

Krawczyk, Andrea; Lau, Elsa; Perez, Samara; Delisle, Vanessa; Amsel, Rhonda; Rosberger, Zeev

2012-01-01

234

A Systematic Review of Interventions to Increase Awareness, Knowledge, and Folic Acid Consumption Before and During Pregnancy  

Microsoft Academic Search

Objective. We conducted a systematic review of studies designed to increase awareness of, knowledge about, and consumption of folic acid before and during pregnancy. Data sources. Studies were identified from Cochrane Library, Medline, and the references of primary studies and reviews. Study inclusion and exclusion criteria. Studies included randomized controlled trials, quasi- experimental interrupted time series studies, follow-up studies, case-control

Corina Mihaela Chivu; Theodore H. Tulchinsky; Karla Soares-Weiser; Rony Braunstein; Mayer Brezis

2008-01-01

235

Harnessing Visual Media in Environmental Education: Increasing Knowledge of Orangutan Conservation Issues and Facilitating Sustainable Behaviour through Video Presentations  

ERIC Educational Resources Information Center

|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…

Pearson, Elissa; Dorrian, Jillian; Litchfield, Carla

2011-01-01

236

How to Inform: Comparing Written and Video Education Interventions to Increase Human Papillomavirus Knowledge and Vaccination Intentions in Young Adults  

Microsoft Academic Search

Objective: To compare the efficacy of two Human Papillomavirus (HPV) educational interventions on increasing HPV knowledge and vaccination intentions in college students. Participants: Male (n = 60) and female (n = 140) undergraduates (Mage = 20.4, SD = 2.3) recruited from a university in Montreal Canada, from October 2009-March 2010. Methods: Using theory based interventions, participants were randomly assigned to

Andrea Krawczyk; Elsa Lau; Samara Perez; Vanessa Delisle; Rhonda Amsel; Zeev Rosberger

2012-01-01

237

The NIST Digital Library of Mathematical Functions  

NASA Astrophysics Data System (ADS)

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.

Clark, Charles W.

1998-05-01

238

SMB: Society for Mathematical Biology  

NSDL National Science Digital Library

The Society for Mathematical Biology (SMB) is an international society devoted to increasing communication between the mathematical and biological communities through holding conferences and publishing journals.

239

Introduction to the "Scoliosis" Journal Brace Technology Thematic Series: increasing existing knowledge and promoting future developments.  

PubMed

Bracing is the main non-surgical intervention in the treatment of idiopathic scoliosis during growth, in hyperkyphosis (and Scheuermann disease) and occasionally for spondylolisthesis; it can be used in adult scoliosis, in the elderly when pathological curves lead to a forward leaning posture or in adults after traumatic injuries. Bracing can be defined as the application of external corrective forces to the trunk; rigid supports or elastic bands can be used and braces can be custom-made or prefabricated. The state of research in the field of conservative treatment is insufficient and while it can be stated that there is some evidence to support bracing, we must also acknowledge that today we do not have a common and generally accepted knowledge base, and that instead, individual expertise still prevails, giving rise to different schools of thought on brace construction and principles of correction. The only way to improve the knowledge and understanding of brace type and brace function is to establish a single and comprehensive source of information about bracing. This is what the Scoliosis Journal is going to do through the "Brace Technology" Thematic Series, where technical papers coming from the different schools will be published. PMID:20205874

Negrini, Stefano; Grivas, Theodoros B

2010-01-28

240

Introduction to the "Scoliosis" Journal Brace Technology Thematic Series: increasing existing knowledge and promoting future developments  

PubMed Central

Bracing is the main non-surgical intervention in the treatment of idiopathic scoliosis during growth, in hyperkyphosis (and Scheuermann disease) and occasionally for spondylolisthesis; it can be used in adult scoliosis, in the elderly when pathological curves lead to a forward leaning posture or in adults after traumatic injuries. Bracing can be defined as the application of external corrective forces to the trunk; rigid supports or elastic bands can be used and braces can be custom-made or prefabricated. The state of research in the field of conservative treatment is insufficient and while it can be stated that there is some evidence to support bracing, we must also acknowledge that today we do not have a common and generally accepted knowledge base, and that instead, individual expertise still prevails, giving rise to different schools of thought on brace construction and principles of correction. The only way to improve the knowledge and understanding of brace type and brace function is to establish a single and comprehensive source of information about bracing. This is what the Scoliosis Journal is going to do through the "Brace Technology" Thematic Series, where technical papers coming from the different schools will be published.

2010-01-01

241

Strengthen Your Mathematical Muscles  

ERIC Educational Resources Information Center

|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…

Wohlhuter, Kay A.; Breyfogle, M. Lynn; McDuffie, Amy Roth

2010-01-01

242

Mathematics Teacher TPACK Standards and Development Model  

Microsoft Academic Search

What knowledge is needed to teach mathematics with digital technologies? The overarching construct, called technology, pedagogy, and content knowledge (TPACK), has been proposed as the interconnection and intersection of technology, pedagogy, and content knowledge. Mathematics Teacher TPACK Standards offer guidelines for thinking about this construct. A Mathematics Teacher Development Model describes the development of TPACK toward meeting these standards. The

Margaret L. Niess; Robert N. Ronau; Kathryn G. Shafer; Shannon O. Driskell

243

The Dutch EPS Registry: increasing the knowledge of encapsulating peritoneal sclerosis.  

PubMed

Encapsulating peritoneal sclerosis (EPS) is a rare condition characterised by fibrotic thickening of the visceral peritoneum, leading to encapsulating of the intestines with partial or total intestinal obstruction. EPS is a serious complication of peritoneal dialysis (PD) with high morbidity and a mortality exceeding 50%. At present, there is uncertainty concerning the incidence and the risk factors involved in the development of EPS. To address these questions a nationwide registry has been initiated. The primary goals of the registry are to record the incidence of EPS and investigate the association of different variables, such as PD duration, medication, dialysis solutions and kidney transplantation with EPS. The registry will improve the knowledge of EPS and will serve to develop guidelines and necessary management strategies. From the registry different research activities can be initiated. A major challenge lies in the establishment of criteria that allow a timely diagnosis of EPS. At present, there are no diagnostic tools that can accurately detect EPS at an early stage. For this reason, besides patients with proven EPS, the clinical suspicion of EPS will be a sufficient criterion for inclusion in the registry. This nationwide EPS registry is currently enrolling patients. PMID:19767668

Korte, M R; Boeschoten, E W; Betjes, M G H

2009-09-01

244

Increased knowledge of Francisella genus diversity highlights the benefits of optimised DNA-based assays  

PubMed Central

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.

2012-01-01

245

Evaluation of a Peer-focused Intervention to Increase Knowledge and Foster Positive Attitudes Toward Children with Tourette Syndrome  

Microsoft Academic Search

This study examines the impact of a video-based intervention to increase children’s knowledge and positive attitudes toward\\u000a a peer with Tourette Syndrome (TS). TS, a neurological disorder characterized by verbal and motor tics, is a confusing and\\u000a potentially stigmatizing disorder. Although symptoms wax and wane over the life span, TS typically begins in childhood and\\u000a peaks at puberty. The available

Kristen D. Holtz; Greta K. Tessman

2007-01-01

246

Winning Women into Mathematics.  

ERIC Educational Resources Information Center

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…

Kenschaft, Patricia Clark, Ed.; Keith, Sandra Zaroodny, Ed.

247

A Mathematical Diet Model  

ERIC Educational Resources Information Center

Emphasis on problem solving and mathematical modeling has gained considerable attention in the last few years. Connecting mathematics to other subjects and to the real world outside the classroom has received increased attention in mathematics programs. This article describes an application of simple differential equations in the field of…

Toumasis, Charalampos

2004-01-01

248

The land potential knowledge system (LandPKS): Increasing land productivity and resilience  

Technology Transfer Automated Retrieval System (TEKTRAN)

Africa must significantly increase agricultural production to meet the needs of a growing population. Current efforts focus on intensifying production on currently used lands and expanding to un- or under-utilized lands. The success of both strategies requires understanding the land’s potential prod...

249

Educators: Are Web-Based Resources an Effective Means for Increasing Knowledge in Higher Education?  

ERIC Educational Resources Information Center

|Many institutions of higher education (IHEs) that prepare teachers encounter the challenge of increasing requirements of general education preservice teachers so they are properly prepared to teach all students, including those with disabilities. This study examined the impact of a Web-based resource on preservice general education teachers'…

Courtad, Carrie Anna

2012-01-01

250

Increasing Knowledge Flows by Linking Innovation and Health - the Case of SAAVI  

Microsoft Academic Search

Biotechnology and genomic innovation are seen as increasingly important for achieving public health goals in Africa. In particular, vaccines based on advances in genomic technology are deemed vital in the fight against HIV\\/AIDS. Public-Private Partnerships (PPPs) provide a collaborative mechanism to ensure these vaccines are developed when the private sector lacks incentives to develop these products. These partnerships provide new

REBECCA HANLIN

2006-01-01

251

Mathematics in the Early Years.  

ERIC Educational Resources Information Center

|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…

Copley, Juanita V., Ed.

252

Supporting Novice Elementary Mathematics Teachers' Induction in Professional Communities and Providing Innovative Forms of Pedagogical Content Knowledge Development through Information and Communication Technology  

ERIC Educational Resources Information Center

This paper reports on the needs identified as important to 27 novice elementary mathematics teachers and examines how Connect-ME, an online mathematics community, provides these supports. Qualitative data were collected using two focus groups and 16 telephone interviews. Findings validate the need for alternative teacher professional development…

Dalgarno, Nancy; Colgan, Lynda

2007-01-01

253

Dynamics of Resistance Development to Imatinib under Increasing Selection Pressure: A Combination of Mathematical Models and In Vitro Data  

PubMed Central

In the last decade, cancer research has been a highly active and rapidly evolving scientific area. The ultimate goal of all efforts is a better understanding of the mechanisms that discriminate malignant from normal cell biology in order to allow the design of molecular targeted treatment strategies. In individual cases of malignant model diseases addicted to a specific, ideally single oncogene, e.g. Chronic myeloid leukemia (CML), specific tyrosine kinase inhibitors (TKI) have indeed been able to convert the disease from a ultimately life-threatening into a chronic disease with individual patients staying in remission even without treatment suggestive of operational cure. These developments have been raising hopes to transfer this concept to other cancer types. Unfortunately, cancer cells tend to develop both primary and secondary resistance to targeted drugs in a substantially higher frequency often leading to a failure of treatment clinically. Therefore, a detailed understanding of how cells can bypass targeted inhibition of signaling cascades crucial for malignant growths is necessary. Here, we have performed an in vitro experiment that investigates kinetics and mechanisms underlying resistance development in former drug sensitive cancer cells over time in vitro. We show that the dynamics observed in these experiments can be described by a simple mathematical model. By comparing these experimental data with the mathematical model, important parameters such as mutation rates, cellular fitness and the impact of individual drugs on these processes can be assessed. Excitingly, the experiment and the model suggest two fundamentally different ways of resistance evolution, i.e. acquisition of mutations and phenotype switching, each subject to different parameters. Most importantly, this complementary approach allows to assess the risk of resistance development in the different phases of treatment and thus helps to identify the critical periods where resistance development is most likely to occur.

Werner, Benjamin; Lutz, David; Brummendorf, Tim H.; Traulsen, Arne; Balabanov, Stefan

2011-01-01

254

[Mathematics, milieu, text].  

PubMed

Greek theoretical mathematics emerges among sixth-century Ionians from a background of professional practitioners, concerned chiefly with arithmetical operations. Its characteristical features (impersonalization, standardization, diagrams) develop as part of an elitist play of distinction at fifth- and fourth-century Athens, mainly to ascertain the tradition of that knowledge without adequate institutions. Sophists challenge the mathematicians' practices, philosophers adopt the mathematicians' knowledge as a model of truth, but the mathematicians themselves remain autonomous. Even hellenistic mathematics, semi-institutionalized at royal courts, is little more than a private affair of a narrow circle of intellectuals. All this time the practitioners' traditions persist basically unaltered and constantly present the theoreticians with a social and epistemic background to differentiate "their" mathematics from. Finally, these two branches of Greek mathematics, a practical and a theoretical one, are describable as reciprocally systematized forms of knowledge. PMID:12852091

Asper, Markus

2003-01-01

255

Mathematics Underground  

ERIC Educational Resources Information Center

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…

Luther, Kenneth H.

2012-01-01

256

Mathematics Underground  

ERIC Educational Resources Information Center

|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.…

Luther, Kenneth H.

2012-01-01

257

Mathematics disorder  

MedlinePLUS

Mathematics disorder is a condition in which a child's math ability is far below normal for their age, ... Children who have mathematics disorder may have trouble performing ... adding. Mathematical disorder may appear with: Developmental ...

258

Prospective Mathematics Teachers' Attitudes Towards Learning Mathematics with Technology  

ERIC Educational Resources Information Center

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…

Ipek, A. Sabri; Berigel, Muhammed; Albayrak, Mustafa

2007-01-01

259

A New Professional Role for Junior High School Science and Mathematics Teachers.  

ERIC Educational Resources Information Center

|The Science and Mathematics Support Teacher Program (SMSTP) is a collaborative project of the College of Education at Michigan State University, the American Federation of Teachers, and the Toledo Public Schools. The goals of the program are to increase teachers' science and mathematics knowledge, improve instructional practices, and prepare…

Madsen, Anne L.; And Others

260

MATHEMATICAL INTIMACY WITHIN BLENDED AND FACE-TO-FACE LEARNING ENVIRONMENTS  

Microsoft Academic Search

Oftentimes, learning mathematics involves using technology as a conscious attempt to understand the material in a new and accessible mode, to increase performance, and to expand one's knowledge regardless of the level of training. While comparative assessments of students' performances in blended and face-to-face environments are essential, the authors of this paper analyze students' mathematical intimacy and flow experiences, as

Oana Radu

261

Freedom Quilts: Mathematics on the Underground Railroad  

ERIC Educational Resources Information Center

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…

Neumann, Maureen D.

2005-01-01

262

Cognitive Correlates of Performance in Advanced Mathematics  

ERIC Educational Resources Information Center

|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…

Wei, Wei; Yuan, Hongbo; Chen, Chuansheng; Zhou, Xinlin

2012-01-01

263

Technological change and the mathematical education of engineers: challenge and response  

Microsoft Academic Search

The exponential growth of knowledge in mathematics and the rapid rate of change have grave implications for engineering practice and engineering educators.The paper argues the inevitability of increased graduate education to reduce educational and human obsolescence and discusses a range of considerations— interdisciplinarity, synthesis and mathematical modelling—that should superlatively shape the post?graduate mathematical education of engineers.The case for, and the

J. Gurcharan Sekhon

1984-01-01

264

Business Mathematics  

NSDL National Science Digital Library

From the Mathematical Association of America's Basic Library List - a bibliography of articles (in print, not on the Web) on Business Mathematics: Basic Skills; Algebra and Finite Mathematics; Business Statistics; Business Calculus; Economics; Finance; Marketing; and Introductory and Advanced Actuarial Mathematics.

2007-02-19

265

Developmental Mathematics Collection  

NSDL National Science Digital Library

The Developmental Mathematics Collection (DMC) contains resources for the community college educator who teaches basic arithmetic through intermediate algebra. Educators will find student activities, topic teaching plans, innovative curricula and course sequences, as well as research syntheses on pedagogy and learning. The site hopes to create a Knowledge Exchange Network for Developmental Mathematics by creating linkages and collaborations across colleges within California's large urban regions.

2011-02-17

266

Doug Clements: Early Mathematics  

NSDL National Science Digital Library

This collection of 5 video "snap shots" features Dr. Doug Clements speaking on mathematics in early childhood. Topics include Learning Trajectories, Intentional Play-Based Learning, Intentional Instruction, Integrated Concrete Concepts, and Early Math Learning. He addresses content knowledge necessary for teaching and the development of children's mathematical understanding. Each video is between 2 and 9 minutes long and may be viewed online or downloaded.

2012-09-14

267

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

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…

Cetorelli, Nancy; And Others

268

A Review of Selected Microcomputer Software Packages with Lessons for Teaching Mathematics Grades 8-12. Volume 2. A Curriculum Development Project of the Project To Increase Mastery of Mathematics and Science (PIMMS).  

ERIC Educational Resources Information Center

The purpose of this project is to help teachers of mathematics get started using 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, including homework…

Cetorelli, Nancy; And Others

269

Which mathematical equation from Einstein's Sep. 1905 derivation predicts that when Light Energy is emitted, MASS OF BODY INCREASES ?  

Microsoft Academic Search

Einstein has speculated E= ?m c 2 from L= ?m c 2 in his Sep 1905 paper. This derivation ( under SPECIAL CONDITIONS) predicts that when Light Energy is emitted mass of body decreases. It is true. But the same derivation under general conditions ALSO predicts that when body emits light energy its mass must increase. It is inconsistent prediction

Ajay Sharma

270

Policy efforts used to develop awareness aimed at increased students' scientific literacy and career choices in mathematics, science and engineering  

Microsoft Academic Search

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

Frank Albert Whitfield

1998-01-01

271

The increasing importance of geographical proximity in knowledge production: an analysis of US patent citations, 1975 – 1997  

Microsoft Academic Search

Much literature suggests that knowledge-production activities are still heavily dependent upon geographically proximate sources of information, in spite of rapid development in telecommunications technology. Some analysts believe that the importance of proximity in knowledge production will eventually disappear with the continued development of telecommunications. The authors analyse patent citations and find that, after controlling for the existing distribution of knowledge-production

Jung Won Sonn; Michael Storper

2008-01-01

272

Mario Bunge's Philosophy of Mathematics: An Appraisal  

ERIC Educational Resources Information Center

|In this paper, I present and discuss critically the main elements of Mario Bunge's philosophy of mathematics. In particular, I explore how mathematical knowledge is accounted for in Bunge's systemic emergent materialism.|

Marquis, Jean-Pierre

2012-01-01

273

THE ROLE OF EMOTIONS AS TRANSMITTED BY THE USE OF CARTOONS AND GAMES IN CONSTRUCTING MILIEU IN NEGOTIATING MATHEMATICAL KNOWLEDGE IN PRIMARY AND LOWER SECONDARY SCHOOLS 1  

Microsoft Academic Search

In this research I have studied the teaching\\/learning processes in lower secondary schools, with the aim of constructing particular teaching environments (milieu) and refining particular 'tools or attitudes', which the teacher can use in order to improve the understanding of mathematical topics. Considering that 'school learning operates by transforming conceptual thought' (Vigotskij, 1966), the teacher's activ- ity is connected to

Claudia Sortino

2006-01-01

274

Knowledge Construction and Collective Practice: At the Intersection of Learning, Talk, and Social Configurations in a Computer-Mediated Mathematics Classroom.  

ERIC Educational Resources Information Center

Investigates how students' mathematical activities and understandings change as a function of their participation in different social configurations. Examines how the interplay between two social configurations--local investigations at a computer simulation and whole-class discussions--contributes to how 7th grade students learn probabilistic…

Enyedy, Noel

2003-01-01

275

Advanced Mathematics and Science Coursetaking in the Spring High School Senior Classes of 1982, 1992, and 2004. Statistical Analysis Report.  

National Technical Information Service (NTIS)

In order to take advantage of rewarding opportunities in college or the world of work, high school graduates increasingly require strong quantitative and analytical skills. As mathematical and scientific knowledge and abilities grow in value, the amount a...

B. Dalton J. Downing J. Owings R. Bozick S. J. Ingels

2007-01-01

276

Development and Use of a Test Instrument to Measure Biology Teachers' Content Knowledge (CK) and Pedagogical Content Knowledge (PCK)  

ERIC Educational Resources Information Center

Research on teachers' professionalism and professional development has increased in the last two decades. A main focus of this line of research has been the cognitive component of teacher professionalism, i.e., professional knowledge. Most of the previous studies on teacher knowledge--such as the Learning Mathematics for Teaching (LMT) (Hill et…

Juttner, Melanie; Boone, Williame; Park, Soonhye; Neuhaus, Birgit J.

2013-01-01

277

Mathematical Typography.  

National Technical Information Service (NTIS)

The old and well-developed traditions of typesetting of mathematical symbols have become too expensive. A method needs to be devised for unambiguously specifying mathematical manuscripts in such a way that they can easily be manipulated by machines. Such ...

D. E. Knuth

1978-01-01

278

Mathematical Misteaks  

ERIC Educational Resources Information Center

|A mathematical misteak" is an incorrect operation that leads to a correct result. An introduction to the use of the misteak" to emphasize the mathematical operations being taught. Examples and brief explanations of several types of misteaks" are given. (FL)|

Carman, Robert A.

1971-01-01

279

Mathematics anxiety and mathematics achievement  

NASA Astrophysics Data System (ADS)

This paper is a distillation of the major result from the 1998 Ph.D. thesis of the late David Wither. It details a longitudinal study over five years of the relationship between mathematics anxiety and mathematics achievement. It starts from the already well documented negative correlation between the two, and seeks to establish one of the three hypotheses—that mathematics anxiety causes an impairment of mathematics achievement; that lack of mathematics achievement causes mathematics anxiety; or that there is a third underlying cause of the two.

Sherman, Brian F.; Wither (Post.), David P.

2003-09-01

280

Mathematics Bookshelf  

NSDL National Science Digital Library

The Mathematics Bookshelf features outstanding trade books that support mathematics instruction in Kâ12 classrooms. Books have been selected that will appeal to students and enrich the teaching and learning of mathematics in all strands. Each book review includes a brief summary of the story, the main mathematical ideas, suggestions for how to use the book, links to related online resources. and notes on the value of the book in standards-based instruction

2011-01-01

281

Reading Mathematics.  

ERIC Educational Resources Information Center

|Two processes involved in reading mathematics are discussed in this document: eye movements and relating the mathematical idea to the appropriate word or symbol. Many kinds of eye movements are used in mathematics--around, top-to-bottom, bottom-to-top, diagonal, backward and forward, and follow the arrow. Examples of each kind are presented. The…

Georgia State Dept. of Education, Atlanta. Office of Instructional Services.

282

Inside Mathematics  

NSDL National Science Digital Library

This multimedia website assists teachers, principals, and school district leadership by providing professional resources for educators. Inside Mathematics provides tested demonstration lessons presented to children and groups of observing teachers; guided tours of reflective mathematics practice; and mathematics teaching and learning tools and resources to support classroom teachers', math coaches', and administrators' daily practices.

2012-01-01

283

Applied Mathematics  

NSDL National Science Digital Library

Applied Mathematics is a lesson plan which will help students gain proficiency in applied mathematics. After completing this module, students should be able to demonstrate the ability to perform various mathematical conversions. Note: This module is part of a modularized manufacturing technology curriculum created by the PSCME, found at www.pscme.org/educators.html.

2010-07-22

284

Toddlers’ opportunities to learn mathematics  

Microsoft Academic Search

Summary  Mathematical knowledge has developed from human activities through thousands of years and is bound to the world and cultures\\u000a that men and women experience. One can say that mathematics is rooted in humans’ everyday life, an environment where people\\u000a reach agreement regarding principles in mathematics. Through interaction with worldly phenomena and people, children will\\u000a strive to understand their surrounding world,

Camilla Björklund

2008-01-01

285

Elder Abuse and Oral Health Care Providers: An Intervention to Increase Knowledge and Self-Perceived Likelihood to Report  

Microsoft Academic Search

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

Julie A. Sugita; Mario D. Garrett

2012-01-01

286

Radical Constructivism in Mathematics Education.  

ERIC Educational Resources Information Center

|This book is a collection of essays forming a mosaic of theory, research, and practice directed at the task of spreading mathematical knowledge based on the learning theory of constructivism. The authors collectively address questions raised by the observation that current practice frequently generate in the student an aversion to mathematics.…

von Glasersfeld, Ernst, Ed.

287

Radical Constructivism in Mathematics Education.  

ERIC Educational Resources Information Center

This book is a collection of essays forming a mosaic of theory, research, and practice directed at the task of spreading mathematical knowledge based on the learning theory of constructivism. The authors collectively address questions raised by the observation that current practice frequently generate in the student an aversion to mathematics.…

von Glasersfeld, Ernst, Ed.

288

Mathematical Charm in Chemistry Problems  

ERIC Educational Resources Information Center

Mathematical language and chemical knowledge are complementary to each other and only productive use of the two enables using numbers to gain solutions rather than just answers. It is believed to be important in the understanding of science that students feel free to speak mathematics and only a few of them are willing to connect and use their…

Meija, Juris

2004-01-01

289

Mathematical Charm in Chemistry Problems  

ERIC Educational Resources Information Center

|Mathematical language and chemical knowledge are complementary to each other and only productive use of the two enables using numbers to gain solutions rather than just answers. It is believed to be important in the understanding of science that students feel free to speak mathematics and only a few of them are willing to connect and use their…

Meija, Juris

2004-01-01

290

Implementing the Mathematical Practice Standards  

NSDL National Science Digital Library

This website contains examples of the eight Mathematical Practice standards. Each example is referred to as an illustration and is intended to expand teacher knowledge of the practices. Each illustration contains a task, student dialogue about the task, information about grade level, standards, and the context for the dialogue; teacher reflection questions; a mathematical overview; and optional student materials.

2012-01-01

291

Biosocial Aspects of Mathematics Learning.  

ERIC Educational Resources Information Center

Standardized mathematics test results of a twin sample during grades 3 and 6 were interpreted according to an interactional heredity x environment model. Results indicated that similar school instruction made monozygotic twins more alike but dizygotic twins less alike in mathematics knowledge. Social background effects were also studied. (SJL)

Fischbein, Siv

1979-01-01

292

Mathematics in the Middle.  

ERIC Educational Resources Information Center

|This book contains articles that help to further the process of reform in the middle grades, recognizing that the knowledge acquired during these years greatly affects how well the secondary school curriculum will attain its goals. Critical issues facing middle grade classes in particular and all mathematics classrooms in general are discussed.…

Leutzinger, Larry, Ed.

293

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)

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 questions or methods. All teams reported problems with their work and identified improvements for future research. Teachers reported that the field component was very helpful to their understanding of the process of science and to deepening their content knowledge about climate change research. Additionally they reported that they were much more likely to include short-term research projects in their own classrooms as a result of this experience. Short-term data collection experiences such as these can serve to: - Encourage teachers to provide students with the opportunity to develop their own questions, and design methods to answer those questions; - Expose teachers to common pitfalls in data collection methods so that teachers can later guide students as students encounter similar problems; - Familiarize teachers with widely available technology used to record and present data; - Refine teacher understanding of research and improve likelihood of success on longer research projects; - Enable teachers to look at data sets more critically and in more depth; - Better understand how to construct, read, and interpret data tables and graphs; and - Increase depth of understanding of science content.

Gaboardi, M.; Parker, W.; Rodriguez, D.

2010-12-01

294

Academic Continuity through Online Collaboration: Mathematics Teachers Support the Learning of Pupils with Chronic Illness during School Absence  

ERIC Educational Resources Information Center

Recent applications of technology to mathematics education have been designed with cognitive and constructivist theoretical perspectives in mind, viewing mathematical learning as the acquisition of knowledge through the construction of meanings and connections between concepts. With the advent of increasingly flexible communication technologies,…

Wilkie, Karina J.

2011-01-01

295

Learning Mathematics--Letting the Pupils Have Their Say  

ERIC Educational Resources Information Center

Pupil voice is an emerging force for change and improvement in many UK schools, but what is not fully understood is how best to access pupil voice within the specific context of secondary mathematics departments. This paper presents a research project designed to use pupils as co-researchers in increasing knowledge about how to improve learning in…

Lee, Clare; Johnston-Wilder, Sue

2013-01-01

296

The role of recurrent CBT for increasing aviation security screeners' visual knowledge and abilities needed in x-ray screening  

Microsoft Academic Search

X-ray screeners have to know which items are prohibited and what they look like in x-ray images of passenger bags (knowledge-based factors). In addition, effective x-ray screening requires the abilities to cope with bag complexity, superposition by other objects, and rotation of objects (image-based factors). Knowledge-based factors are expected to be highly dependent on training whereas image-based factors are related

Diana Hardmeier; Franziska Hofer; Adrian Schwaninger

297

Tools for Interactive Mathematical Activity. TIMA: BARS--A Tool Designed To Help Teachers Help Children Construct Their Own Knowledge of Whole Numbers and Fractions. [Diskette.  

ERIC Educational Resources Information Center

This computer software is a tool designed to help teachers help children in grades 1 through 7 construct their own knowledge of whole numbers and fractions. This software is the first in a series of new, dynamic computer microworlds that allow teachers to interact with students and students to interact with each other as they engage in…

Olive, John; Steffe, Leslie P.

298

Chinese Mathematics  

NSDL National Science Digital Library

The School of Mathematics and Statistics at the University of St. Andrews Scotland offers this website on the history of Chinese Mathematics. Key features highlighted in the overview include: a discussion of the Chinese version of Pythagoras's theorem, a famous Chinese mathematics book commonly known as the Nine Chapters on the Mathematical Art, and the work of several Chinese mathematicians. Visitors to the website can also browse a chronological listing of several Chinese mathematicians and read about their careers. Other features of the website include a section summarizing each chapter from the Nine Chapters on the Mathematical Art, a section highlighting ten other mathematical classics, a review of the Chinese numeral system, and a collection of Chinese problems, which are extracted from various articles in their archive.

299

INCREASING ACHIEVEMENT AND HIGHER-EDUCATION REPRESENTATION OF UNDER-REPRESENTED GROUPS IN SCIENCE, TECHNOLOGY, ENGINEERING, AND MATHEMATICS FIELDS: A REVIEW OF CURRENT K-12 INTERVENTION PROGRAMS  

PubMed Central

The under-representation of women and ethnic minorities in Science, Technology, Engineering, and Mathematics (STEM) education and professions has resulted in a loss of human capital for the US scientific workforce and spurred the development of myriad STEM educational intervention programs. Increased allocation of resources to such programs begs for a critical, prescriptive, evidence-based review that will enable researchers to develop optimal interventions and administrators to maximize investments. We begin by providing a theoretical backdrop for K-12 STEM programs by reviewing current data on under-representation and developmental research describing individual-level social factors undergirding these data. Next, we review prototypical designs of these programs, highlighting specific programs in the literature as examples of program structures and components currently in use. We then evaluate these interventions in terms of overall effectiveness, as a function of how well they address age-, ethnicity-, or gender-specific factors, suggesting improvements in program design based on these critiques. Finally, program evaluation methods are briefly reviewed and discussed in terms of how their empirical soundness can either enable or limit our ability to delineate effective program components. “Now more than ever, the nation’s changing demographics demand that we include all of our citizens in science and engineering education and careers. For the U.S. to benefit from the diverse talents of all its citizens, we must grow the pipeline of qualified, underrepresented minority engineers and scientists to fill positions in industry and academia.”—Irving P. McPhail..

Valla, Jeffrey M.; Williams, Wendy M.

2012-01-01

300

Preserving Knowledge  

ERIC Educational Resources Information Center

|Every year, teachers leave the profession and take valuable experience and knowledge with them. An increasing retirement rate makes schools vulnerable to a significant loss of knowledge. This article describes how implementing a knowledge management process will ensure that valuable assets are captured and shared. (Contains 3 online resources.)|

Taintor, Spence

2008-01-01

301

A Statewide Model Detection and Prevention Program for Geriatric Alcoholism and Alcohol Abuse: Increased Knowledge Among Service Providers  

Microsoft Academic Search

To facilitate the professional development of service providers, the Virginia project on geriatric alcohol abuse and alcoholism developed and used an informational booklet, brochure, and video in a “:train the trainer” model. A core group received extensive training, and then trained colleagues in their local communities. Knowledge gains were documented among both trainers and trainees. Follow-up interviews with agency personnel

Constance L. Coogle; Nancy J. Osgood; Iris A. Parham

2000-01-01

302

Mentoring Increases Connectedness and Knowledge: A Cross-Sectional Evaluation of Two Programs in Child and Adolescent Psychiatry  

ERIC Educational Resources Information Center

|Objective: The authors assess changes in knowledge and feeling connected to the field of child and adolescent psychiatry (CAP) after participation in a brief mentoring program held at two CAP conferences. Methods: Similar mentorship programs were implemented at two CAP conferences, one national (N=119 participants), one international (N=53). The…

Horner, Michelle S.; Miller, Susan Milam; Rettew, David C.; Althoff, Robert; Ehmann, Mary; Hudziak, James J.; Martin, Andres

2008-01-01

303

Online Course Increases Nutrition Professionals' Knowledge, Skills, and Self-Efficacy in Using an Ecological Approach to Prevent Childhood Obesity  

ERIC Educational Resources Information Center

|Objective: To assess the impact of an online continuing education course on the knowledge, skills, and self-efficacy of nutrition professionals to use an ecological approach to prevent childhood obesity. Design: Quasi-experimental design using intervention and delayed intervention comparison groups with pre/post-course assessments. Setting:…

Stark, Christina M.; Graham-Kiefer, Meredith L.; Devine, Carol M.; Dollahite, Jamie S.; Olson, Christine M.

2011-01-01

304

Is a Little Knowledge a Good Thing? College Students Gain Knowledge, but Knowledge Increase Does Not Equal Attitude Change regarding Same-Sex Sexual Orientation and Gender Reassignment Surgery in Sexuality Courses  

ERIC Educational Resources Information Center

|The gains in knowledge and changes of attitudes of students in undergraduate sexuality courses in two different academic disciplines were compared to those of their peers without college sexuality education in a variety of other psychology courses. All students had similar scores on tests of sexual anatomy, behavior, and health at the start of…

Noland, Ramona M.; Bass, Martha A.; Keathley, Rosanne S.; Miller, Rowland

2009-01-01

305

Mathematical Literacy  

ERIC Educational Resources Information Center

|"Mathematical literacy" implies that a person is able to reason, analyze, formulate, and solve problems in a real-world setting. Mathematically literate individuals are informed citizens and intelligent consumers. They have the ability to interpret and analyze the vast amount of information they are inundated with daily in newspapers, on…

Martin, Hope

2007-01-01

306

Technical Mathematics.  

ERIC Educational Resources Information Center

|This manuscript provides information and problems for teaching mathematics to vocational education students. Problems reflect applications of mathematical concepts to specific technical areas. The materials are organized into six chapters. Chapter 1 covers basic arithmetic, including fractions, decimals, ratio and proportions, percentages, and…

Flannery, Carol A.

307

Nonlocal Mathematics  

Microsoft Academic Search

This is a research announcement on what is best termed `nonlocal' methods in mathematics. (This is not to be confused with global analysis.) The nonlocal formulation of physics in \\\\cite{principia} points to a fresh viewpoint in mathematics: Nonlocal viewpoint. It involves analyzing objects of geometry and analysis using nonlocal methods, as opposed to the classical local methods, e.g., Newton's calculus.

Mukul Patel

2000-01-01

308

Defining as a Vehicle for Professional Development of Secondary School Mathematics Teachers.  

ERIC Educational Resources Information Center

Describes a professional development program for secondary school mathematics teachers in which the focus of the program is mathematical definition. The program aimed to develop teachers' subject matter knowledge including knowledge of the substance of mathematics and knowledge about the nature and discourse of mathematics. (Author/MM)

Leikin, Roza; Winicki-Landman, Greisy

2001-01-01

309

Maximizing Student Mathematical Learning in the Early Years  

NSDL National Science Digital Library

This 8-page monograph (pdf), based on current research in early mathematics education, discusses the importance of early mathematics and addresses how educators can build on the mathematical knowledge and experience that children bring to early primary classrooms. It emphasizes the importance of understanding the development and characteristics of the early mathematics learner, and of having a solid understanding of mathematics for teaching. The article offers tips for creating a mathematics-rich environment and includes an extensive list of references.

2011-09-01

310

The appalachia model mathematics program for gifted students  

Microsoft Academic Search

The Model Mathematics Program was developed to meet the needs of gifted students in the area of mathematics. Elementary and middle school students showed significant growth in mathematics computation skills and concepts after receiving mathematics instruction in flexibly paced mathematics classes. Other outcomes included increased participation and improved performance in mathematics competitions, as well as regional and state?wide recognition.

Richard Miller; Carol Mills; Arne Tangherlini

1995-01-01

311

Does Increasing Biology Teacher Knowledge of Evolution and the Nature of Science Lead to Greater Preference for the Teaching of Evolution in Schools?  

ERIC Educational Resources Information Center

|This study investigated whether or not an increase in secondary science teacher knowledge about evolution and the nature of science gained from completing a graduate-level evolution course was associated with greater preference for the teaching of evolution in schools. Forty-four precertified secondary biology teachers participated in a 14-week…

Nehm, Ross H.; Schonfeld, Irvin Sam

2007-01-01

312

“Smart Bodies” school wellness program increased children's knowledge of healthy nutrition practices and self-efficacy to consume fruit and vegetables  

Microsoft Academic Search

Diets rich in fruit and vegetables are important for long-term health yet children frequently do not like these foods. The “Smart Bodies” school wellness program sought to increase children's knowledge of healthy nutritional practices, improve psychosocial variables associated with eating fruit and vegetables, and develop preferences for these foods. A randomized controlled intervention trial was conducted in 14 low-income, urban,

Georgianna Tuuri; Michael Zanovec; Linda Silverman; James Geaghan; Melinda Solmon; Denise Holston; Annrose Guarino; Heli Roy; Ellen Murphy

2009-01-01

313

Mathematical Digest  

NSDL National Science Digital Library

From e-MATH, the Website of the American Mathematical Society, Mathematical Digest provides short summaries of news articles about mathematics (or mathematicians) that have appeared in the popular press. As some articles have a distinctly popular flavor, content will also be of interest to those curious about the culture's (and the media's) perception of math. The table of contents features summaries for articles dating from this summer back to 1995. The brief summaries of articles gleaned from magazines and newspapers (such as Nature, Discover, and The New York Times) also include the date the article appeared and the page number, for easy reference.

314

The Predominance of Procedural Knowledge in Fractions  

ERIC Educational Resources Information Center

|Teachers play a crucial role in the mathematical learning outcomes of their students. The quality of teachers' mathematical knowledge has been of interest to key stakeholders and several lines of inquiry have been running in an effort to better understand the kinds of knowledge that mathematics teachers need to acquire and use to drive their…

Forrester, Tricia; Chinnappan, Mohan

2010-01-01

315

Does Increasing Biology Teacher Knowledge of Evolution and the Nature of Science Lead to Greater Preference for the Teaching of Evolution in Schools?  

NASA Astrophysics Data System (ADS)

This study investigated whether or not an increase in secondary science teacher knowledge about evolution and the nature of science gained from completing a graduate-level evolution course was associated with greater preference for the teaching of evolution in schools. Forty-four precertified secondary biology teachers participated in a 14-week intervention designed to address documented misconceptions identified by a precourse instrument. The course produced statistically significant gains in teacher knowledge of evolution and the nature of science and a significant decrease in misconceptions about evolution and natural selection. Nevertheless, teachers’ postcourse preference positions remained unchanged; the majority of science teachers still preferred that antievolutionary ideas be taught in school.

Nehm, Ross H.; Schonfeld, Irvin Sam

2007-10-01

316

Using Incremental Rehearsal to Increase Fluency of Single-Digit Multiplication Facts with Children Identified as Learning Disabled in Mathematics Computation  

ERIC Educational Resources Information Center

|Previous research suggested that Incremental Rehearsal (IR; Tucker, 1989) led to better retention than other drill practices models. However, little research exists in the literature regarding drill models for mathematics and no studies were found that used IR to practice multiplication facts. Therefore, the current study used IR as an…

Burns, Matthew K.

2005-01-01

317

Mathematical Geology.  

ERIC Educational Resources Information Center

The year 1978 marked a continued trend toward practical applications in mathematical geology. Developments included work in interactive computer graphics, factor analysis, the vanishing tons problem, universal kriging, and resource estimating. (BB)

McCammon, Richard B.

1979-01-01

318

Colorful Mathematics  

NSDL National Science Digital Library

Funded by Industry Canada's SchoolNet initiative with the cooperation of the Canadian Mathematical Society, Colorful Mathematics takes a game-oriented approach to teaching K-12 mathematics. The project has developed five coloring games that teach children about problem solving, and pattern identification, which "are all at the very heart of mathematics." The coloring approach makes difficult graph concepts "that are still the subject of active research by mathematicians, computer scientists and industry researchers" more accessible to children. The software program, which is available for free from this website, is set up to check for mistakes and challenge students to improve on their results. A Teacher's Corner section gives an overview of the games, "some sample questions for discussion with the curious student," and an overview of terminology used in the software program. The website is also available in French.

319

Mathematics Illuminated  

NSDL National Science Digital Library

Everything (mathematics) is illuminated in this excellent thirteen-part series created by Annenberg Media for adult learners and high school teachers. As their website notes, the series "explores major themes in the field of mathematics, from humankind's earliest study of prime numbers, to the cutting-edge mathematics used to reveal the shape of the universe." First-time visitors can read a brief introduction to the series, and then look over some of the thirteen units, which include "Game Theory", "Other Dimensions", and "Geometries Beyond Euclid". Each unit includes a relevant video segment (free registration required), a video transcript, and a different interactive feature designed to complement the material within. Also, visitors can take advantage of a glossary and a "Math Family Tree", which highlights major mathematical discoveries from the year 25000 BCE to present-day Fields Medal winner, Grigori Perelman.

2008-01-01

320

Two Gestalts for Mathematics: Logical vs. Computational  

Microsoft Academic Search

Many educators have campaigned to increase mathematical content in the curriculum guide- lines for Information Systems. Unfortunately, mathematical concepts are often presented in a manner that conflicts with the general mental framework, or gestalt, of most IS students. But fortunately there is more than one gestalt in mathematics. This paper attempts to characterize and measure two gestalts for mathematics--one based

Kirby McMaster; Brian Rague; Trevor McMaster; Ashley Blake

321

Mathematical Communication through Written and Oral Expression  

Microsoft Academic Search

In this action research study of my classroom of sixth grade mathematics, I investigated the use of communication of mathematics through both written and oral expression. Giving my students the opportunity to communicate mathematics both in writing and orally helped to deepen the students’ understanding of mathematics. The students’ levels of comprehension were increased when they were presented with a

Brandee Wilson

2009-01-01

322

Assessing Understanding through Reading and Writing in Mathematics  

ERIC Educational Resources Information Center

The mathematics education community recognizes the integrality of reading and writing in learning and communicating mathematics knowledge. Unfortunately, many students have yet to significantly experience this integrality in their mathematics classrooms despite the power these tools offer teachers for assessing student knowledge. This paper…

Adu-Gyamfi, Kwaku; Bosse, Michael J.; Faulconer, Johna

2010-01-01

323

Assessing Understanding through Reading and Writing in Mathematics  

ERIC Educational Resources Information Center

|The mathematics education community recognizes the integrality of reading and writing in learning and communicating mathematics knowledge. Unfortunately, many students have yet to significantly experience this integrality in their mathematics classrooms despite the power these tools offer teachers for assessing student knowledge. This paper…

Adu-Gyamfi, Kwaku; Bosse, Michael J.; Faulconer, Johna

2010-01-01

324

Evaluating the levels of problem solving abilities in mathematics  

Microsoft Academic Search

Currently, there is a general agreement among mathematics educators that students need to acquire problem solving skill, learn to communicate using mathematical knowledge and skills, develop mathematical thinking and reasoning, to see the interconnectedness between mathematics and other disciplines. Based on this perspective, this research looked into the levels of problem solving ability amongst selected Malaysian secondary school students. A

NOOR AZLAN AHMAD

325

A Snapshot of Ten Pre-Service Secondary Mathematics Teachers  

ERIC Educational Resources Information Center

Reform in secondary mathematics education has created changes regarding how to educate teachers. It is time to check the result of such changes. This study provides a snapshot look at the commonalities of ten pre-service teachers in regards to their mathematics knowledge and their attitudes about mathematics and mathematics education. Four themes…

Latterell, Carmen M.

2008-01-01

326

Conceptions of First-Year Secondary Mathematics Intern Teachers  

ERIC Educational Resources Information Center

|Beginning mathematics teachers enter their classrooms with a network of conceptions about mathematics and how they will go about teaching it. These conceptions are based on a set of beliefs and body of mathematical knowledge. They are robust and deeply ingrained, and they influence how teachers approach the teaching and learning of mathematics.…

Tennison, Alan D.

2010-01-01

327

Connecting with the Horizon: Developing Teachers' Appreciation of Mathematical Structure  

ERIC Educational Resources Information Center

A professional learning program for teachers of junior secondary mathematics regarding the content and pedagogy of senior secondary mathematics is the context for this study of teachers' mathematical and pedagogical knowledge. The analysis of teachers' reflections on their learning explored teachers' understanding of mathematical connections and…

Vale, Colleen; McAndrew, Alasdair; Krishnan, Siva

2011-01-01

328

Co-Constructing Artefacts and Knowledge in Net-Based Teams: Implications for the Design of Collaborative Learning Environments  

ERIC Educational Resources Information Center

|Computer-based learning environments for science and mathematics education support predominantly individual learning; from first generation drill and practice programs to today's advanced, knowledge-based tutorial systems, one learner interacting with one computer has been the typical setting. Mathematics educators, however, increasingly

Reimann, Peter

2005-01-01

329

Mathematical Imagery  

NSDL National Science Digital Library

The American Mathematical Society has a section of its website devoted to the connection between mathematics and art, entitled Mathematical Imagery, which contains images of artworks from almost two dozen art exhibits. Visitors will find a quote on the right side of the homepage by G.H. Hardy that describes mathematicians and their relation to artists, as such: "A mathematician, like a painter or poet, is a maker of patterns. If his patterns are more permanent than theirs, it is because they are made with ideas." Visitors will likely be impressed by the works of art from the 2011 Mathematical Art Exhibition in New Orleans at the Joint Mathematics Meetings. The piece entitled "Gaussian Wave Packet Sculpture" looks like mid-century modern furniture design. Visitors won't want to miss the piece entitled "MacDuff's Shield" which combines Shakespeare's Macbeth with the Mandelbrot set. Finally, visitors interested in seeing a piece that looks like a deconstructed watermelon, will want to check out "Flora #1 (time slice).

330

Knowledge management capability: defining knowledge assets  

Microsoft Academic Search

Purpose – The purpose of this paper is to show that separate sources of knowledge are identified, described and clearly defined as organizational intangible knowledge assets. These knowledge assets are referred to as knowledge capabilities (KCs). knowledge management (KM) is utilized to leverage these assets with a view to systematic improvement in the process of achieving increased firm performance. Design\\/methodology\\/approach

Ronald D. Freeze; Uday R. Kulkarni

2007-01-01

331

Mathematical Constants  

NSDL National Science Digital Library

This website features supplementary materials for a book called Mathematical Constants by Stephen Finch, a Clay Mathematics Institute Book Fellow. The book is a collection of stories about 136 mathematical constants that, according to one reviewer, "will startle us, intrigue us and nurture our quest of mysterious patterns amongst numbers and structures." On this website, the author has errata and addenda to the book as well as some sample essays on integer compositions, optimal stopping and Reuleaux triangles. Supplementary materials are organized by topic, which include Number Theory and Combinatorics, Geometry and Topology, Probability and Stochastic Processes, Real and Complex Analysis, and Inequalities and Approximation. The website also includes links to the book publisher and companies selling the book as well as some of the author's favorite websites.

332

Mathematical Snippets  

NSDL National Science Digital Library

This site, created by the Mathematics Department at Bellevue Community College in Bellevue, Washington, contains descriptions of six mathematical concepts: the Pythagorean Theorem, Archimedes' Tombstone, the Mobius Strip, the Koch Snowflake Curve, Plateau's Problem, and Counting to Infinity. Each snippet contains a very brief history and an explanation of the concept. Illustrations are used to convey the physical meaning and consequences of each concept. Plateau's Problem and Counting to Infinity contain links to web sites that provide additional information about persons or concepts mentioned in the snippet.

1997-01-01

333

Mathematical Snippets  

NSDL National Science Digital Library

This site, created by the Mathematics Department at Bellevue Community College in Bellevue, Washington, contains descriptions of six mathematical concepts: the Pythagorean Theorem, Archimedes' Tombstone, the Mobius Strip, the Koch Snowflake Curve, Plateau's Problem, and Counting to Infinity. Each snippet contains a very brief history and an explanation of the concept. Illustrations are used to convey the physical meaning and consequences of each concept. Plateau's Problem and Counting to Infinity contain links to web sites that provide additional information about persons or concepts mentioned in the snippet.

2005-10-31

334

Matematicas para la Escuela Elemental-Nuevas Orientaciones (Elementary School Mathematics-New Directions).  

National Technical Information Service (NTIS)

Elementary Mathematics need to be reevaluated and to be changed because: Mathematical knowledge has advanced, a more effective transition from one grade to the next is needed; standard elementary mathematics is inadequate, lacking the more interesting asp...

E. Deans

1965-01-01

335

Just Be It! Healthy and Fit Increases Fifth Graders' Fruit and Vegetable Intake, Physical Activity, and Nutrition Knowledge  

ERIC Educational Resources Information Center

|Just Be It! Healthy and Fit reduces the risk factors for childhood obesity for fifth graders using hands-on field trips, in-class lessons, and parent outreach efforts. Pre-test and post-test scores from the year-long classroom instruction showed a statistically significant increase in fruit and vegetable intake, physical activity, and nutrition…

DelCampo, Diana; Baca, Jacqueline S.; Jimenez, Desaree; Sanchez, Paula Roybal; DelCampo, Robert

2011-01-01

336

Laboratory Mathematics  

ERIC Educational Resources Information Center

|Computers were invented to help mathematicians perform long and complicated calculations more efficiently. By the time that a computing area became a familiar space in primary and secondary schools, the initial motivation for computer use had been submerged in the many other functions that modern computers now accomplish. Not only the mathematics

de Mestre, Neville

2004-01-01

337

Mathematical concepts  

Microsoft Academic Search

This article is an overview of the key mathematical concepts required to understand computer science, physics and physiology as applied to anaesthesia.Topics include classification of numbers, base systems, scientific notation and rounding, logarithms, plain geometry, conic sections, graphical representation and periodic functions. Particular emphasis is given to exponential curves, as these relate to many phenomena in anaesthesia including uptake and

David Williams

2011-01-01

338

Aerodynamics and mathematics in National Socialist Germany and Fascist Italy: a comparison of research institutes.  

PubMed

The article is concerned with the mathematical sciences in National Socialist Germany and Fascist Italy, with special attention to research important to the war effort. It focuses on three institutional developments: the expansion of the Kaiser Wilhelm Institute for Fluid Dynamics in Göttingen, the foundation of the Reich Institute for Mathematics in Oberwolfach (Black Forest), and the work of the Istituto Nazionale per le Applicazioni del Calcolo in Rome. All three developments are embedded in the general political background, thus providing a basis for comparative conclusions about the conditions of the mathematical sciences and military-related research in Germany and Italy. It turns out that in both countries, the increasing demand for mathematical knowledge in modern warfare led to the establishment of "extra-university" national institutions specifically devoted to mathematical research. PMID:20503761

Epple, Moritz; Karachalios, Andreas; Remmert, Volker R

2005-01-01

339

Kepler's mathematization of Cosmology  

NASA Astrophysics Data System (ADS)

The paper concerns with mathematical knowledge of Johannes Kepler. A part of the paper describes the mathematical education of Kepler which includes the Euclidean geometry and texts by Ptolemy. The first He knew from the Proclus' Commentary which was published in 1533. The author is pointing out that Kepler's epistemology was close to Plato's. The "polyhedral archetype" is discussed in detail. The greatest error was in the case of Mercury (~20%) Kepler's reaction was otherwise absolutely what one would exopect of a theoretician in the twentieth century: he suggested that better observations would imoprouve matter. The author make an analogy with modern discussions on metal abundances in the outer layers of old stars. The author is mentioning also that the Kepler's version of Copernicus' system is noticeably different from Copernicus' original one, including important improvements.

Field, Judith V.

340

A Comparison of Preservice Teachers' Mathematics Anxiety before and after a Methods Class Emphasizing Manipulatives.  

ERIC Educational Resources Information Center

Investigated changes in mathematics anxiety among future teachers in two mathematics materials and methods classes incorporating Bruner's framework of developing conceptual knowledge before procedural knowledge and the use of mathematics manipulatives. Pretest-posttest comparisons showed significant reductions in overall mathematical anxiety,…

Vinson, Beth McCulloch

2001-01-01

341

Constructivism, mathematics and mathematics education  

Microsoft Academic Search

Learning theories such as behaviourism, Piagetian theories and cognitive psychology, have been dominant influences in education this century. This article discusses and supports the recent claim that Constructivism is an alternative paradigm, that has rich and significant consequences for mathematics education. In the United States there is a growing body of published research that claims to demonstrate the distinct nature

Stephen Lerman

1989-01-01

342

[Overview of knowledge of health effects of smokeless tobacco. Increased risk of cardiovascular diseases and mortality because of snuff].  

PubMed

Oral snuff, used by 20% of all Swedish males in 1996, causes blood nicotine levels similar to those in smokers. In a report by the National Board of Health and Welfare in 1997, it is concluded that scientific evidence of oral snuff as a cause of oral cancer is weak. Epidemiological studies of more than 100,000 construction workers showed hypertension (blood pressure > 160/90) to be more common among oral snuff users than among non-users. Twelve-year follow-up showed the relative risk of death due to cardiovascular disease to be 2-fold greater among snuff users, but 3-fold greater among smokers, as compared to never-users of tobacco (p < 0.001). The risk of death due to cancer was similar among snuff users and among never-users. In a clinical study of 151 healthy middle-aged men, 24-hour monitoring showed daytime heart rates and blood pressure to be significantly higher in snuff users > or = 45 years of age than in age-matched non-users (p < 0.05). The estimated 10-year future risk of cardiovascular events was 13.2% for smokers (p < 0.001) and 4.6% for oral snuff users (p = 0.3) as compared with 3.4% for never-users. As compared with non-users, oral snuff users manifested neither significant signs of accelerated atherosclerosis nor significantly reduced maximum physical capacity. Oral snuff usage causes physiological nicotine dependence, and results in the release of sympatho-adrenergic stimuli associated with an increased risk of cardiovascular stress, which might in turn exacerbate the risk of fatal cardiovascular events. However, oral snuff usage does not seem to be associated with the same risk of accelerated atherosclerosis as is smoking. PMID:9411127

Bolinder, G

1997-10-15

343

The mathematical needs of secondary teachers: data from three countries  

Microsoft Academic Search

This article discusses the mathematical needs of secondary teachers, in particular senior secondary teachers who are preparing students for tertiary mathematical study. It also reports on data concerning secondary mathematics teacher qualifications in New Zealand, Australia and the United Kingdom. Despite an increasing need for both deeper and wider mathematical understanding, the levels of mathematical qualifications of secondary teachers in

B. Barton; L. Sheryn

2009-01-01

344

Predicting Student Growth in Mathematical Content Knowledge  

Microsoft Academic Search

Using national longitudinal data, the authors investigated factors related to student learning or growth in statistics, algebra, and geometry in middle school and high school. The authors used hierarchical linear models to model variation in student rate of growth with factors associated with student characteristics and instructional and environmental factors. In addition, the authors designed the study to identify factors

Jesse L. M. Wilkins; Xin Ma

2002-01-01

345

Mathematics and the Real World  

Microsoft Academic Search

It has been suggested that perception of mathematics as an academic exercise divorced from reality increases as children progress through school. The present study explores this suggestion with respect to primary school pupils; 144 pupils aged between 6 and 10 years, at four primary schools, were interviewed and asked for examples of everyday uses for familiar mathematical operations. Approximately 60%

Jennifer Hunter; Irene Turner; Charlotte Russell; Karen Trew; Carol Curry

1993-01-01

346

Teaching Mathematics: Issues and Solutions  

ERIC Educational Resources Information Center

The ability to compute, problem solve, and apply concepts and skills in mathematics influences multiple decisions in our lives. The National Research Council (1989) reported that mathematics is especially evident in our technology-rich society, where number sense and problem solving skills have increased the importance and demands of advanced…

Little, Mary E.

2009-01-01

347

Mathematical foundations of minimal cutsets  

Microsoft Academic Search

Since their introduction in the reliability field, binary decision diagrams have proved to be the most efficient tool to assess Boolean models such as fault trees. Their success increases the need of sound mathematical foundations for the notions that are involved in reliability and dependability studies. This paper clarifies the mathematical status of the notion of minimal cutsets which have

Antoine Rauzy

2001-01-01

348

Mathematics Illuminated  

NSDL National Science Digital Library

Bringing mathematics to life is an admirable yet difficult task. New approaches to teaching the subject are always welcome, and that is precisely the focus of this very fine series produced by Oregon Public Broadcasting. This 13-part multimedia learning resource is offered as part of the Annenberg Media website, and it covers everything from the study of prime numbers to the beauty of symmetry. Visitors can view each one of the 13 half-hour programs, and the titles include "How Big is Infinity?", "Other Dimensions", and "Game Theory". That's not all, as visitors can also click over to the Mathematics Illuminated supplementary website which includes interactive features, a glossary, and other materials for educators.

349

Mathematical Biology  

Microsoft Academic Search

We revisit the mathematical model of yellow fever which involves the interactions of two principal communities of hosts (humans) and vectors (aedes aegypti mosquitoes)(6). We extend the model to a situation where immunisation is non - permanent. Using numerical technique, we evaluate S(t), R(t), I(t), N(t) and M(t) and show the immunisation and rate at which vaccine wanes have significant

T. Adeniran; R. O Ayeni; Dirk P. Kroese

350

100 Years of Mathematics.  

ERIC Educational Resources Information Center

|The 20th century was a period of extraordinary expansion and progress in mathematics. Concentrates on a few key themes that can be discerned such as local to global, increase in dimension, commutative to non-commutative, linear to non-linear, and homology theory, although it is impossible to list all the main achievements. (ASK)|

Atiyah, Michael

2000-01-01

351

Mathematical Student Motivation  

ERIC Educational Resources Information Center

The research project will be conducted with a target focus group of six students who have been identified as struggling students in 3rd grade mathematics. The research project will study the effect of using different teaching strategies and methods to increase motivation and focus among these students. The research project will be conducted at…

Bacon, Alison

2012-01-01

352

Increase in safe sex among the young and non-monogamous: knowledge, attitudes and behavior regarding safe sex and condom use in The Netherlands from 1987 to 1993.  

PubMed

In 1987, the Dutch STD Foundation started several safe sex campaigns targeting the general population. These campaigns have been accompanied by surveys which were conducted every 6 months. Questions were asked about knowledge, attitudes and behavior. The number of people who regard condom use as being a safe sex practice increased over the years, as did the number of people who know that condoms protect against STDs and AIDs. Surprisingly, no accompanying changes in attitudes occurred. Nevertheless, the number of people saying they have done something to prevent HIV infection increased significantly among the young and non-monogamous. Also, specifically in these groups, both actual and intentional condom use increased remarkably. Although it is encouraging that those towards whom the campaigns were particularly directed, show the largest changes, there are also signs that these behavioral changes are levelling off. PMID:7753721

de Vroome, E M; Paalman, M E; Dingelstad, A A; Kolker, L; Sandfort, T G

1994-12-01

353

Communication skills training for physicians performing work disability assessments increases knowledge and self-efficacy: results of a randomised controlled trial.  

PubMed

Abstract Purpose: It was assessed whether a post-graduate communication skills training course would increase physicians' competence and knowledge with regard to communication during work disability assessment interviews, and would change the determinants of their communication behaviour. Methods: A randomised controlled trial was performed. At baseline and at follow-up, 42 physicians completed questionnaires. The primary outcome measures were competence and knowledge about communication. The secondary outcome measures were 21 self-reported determinants of communication behaviour. One-way analyses of variance and covariance were performed. Results: There was no significant difference between the intervention and control groups in overall competence, but there was for the introduction phase (intervention: mean?=?7.0, SD 2.7; control: mean?=?4.8, SD 2.7; p?=?0.014). Knowledge about communication was significantly higher (p?=?0.001) in the intervention group (mean?=?79.6, SD 9.2) than in the control group (mean?=?70.9, SD 6.7), especially concerning the information-gathering phase of the interview (intervention: mean?=?80.0, SD 10.2; control: mean?=?69.4, SD 8.9; p?=?0.001). The intervention group scored significantly better on 7 of the 21 self-reported determinants (secondary outcomes), including self-efficacy, intentions, skills and knowledge. Conclusions: The communication skills training course may improve some aspects of physician communication, but not all. Because physicians were unanimously positive about the course, further development is warranted. Implications for Rehabilitation Even though optimal communication is essential in face-to-face assessment interviews for determining entitlement to work disability benefits, and there is a lot at stake for the claimants, this issue has scarcely been addressed in scientific research. A tailor-made two-day communication skills training course, based on scientific research, increases physicians' knowledge about communication (both objectively measured and self-reported), their self-efficacy and their intention to pay explicit attention to their communication during assessment interviews. The participants evaluated the communication skills training course as very positive, which indicates a successful application of scientific research in practice. It is essential to offer physicians assessing entitlement to work disability benefits the opportunity to attend post-graduate communication skills training courses, which are tailored to their needs and are continuously evaluated and improved. PMID:23384288

van Rijssen, Jolanda; Schellart, Antonius J M; Anema, Johannes R; van der Beek, Allard J

2013-02-01

354

Professional Development for Mid-level Mathematics.  

ERIC Educational Resources Information Center

|The purpose of this investigation was to identify the changes in (n=8) inservice teachers' conceptions or knowledge structures of mathematics and subject specific pedagogy as the teachers participated in a two-year pilot professional development program and began teaching middle school mathematics. Data collection consisted of a questionnaire,…

Scholz, Janet M.

355

The Mathematics of Computer Error.  

ERIC Educational Resources Information Center

Why a computer error occurred is considered by analyzing the binary system and decimal fractions. How the computer stores numbers is then described. Knowledge of the mathematics behind computer operation is important if one wishes to understand and have confidence in the results of computer calculations. (MNS)

Wood, Eric

1988-01-01

356

NIST Handbook of Mathematical Functions  

Microsoft Academic Search

Modern developments in theoretical and applied science depend on knowledge of the properties of mathematical functions, from elementary trigonometric functions to the multitude of special functions. These functions appear whenever natural phenomena are studied, engineering problems are formulated, and numerical simulations are per- formed. They also crop up in statistics, financial models, and economic analysis. Using them effectively requires practitioners

Frank W. J. Olver; Daniel W. Lozier; Ronald F. Boisvert

2010-01-01

357

Nonmath analogies in teaching mathematics  

Microsoft Academic Search

Way too often, students find some concepts too abstract to comprehend. One of the strategies used to assist students with building conceptual knowledge is to use analogies. We investigate the place of nonmath analogies in teaching school mathematics. First, we demonstrate the widespread use of analogies by drawing examples through context analysis of tutoring websites, textbooks, and teaching experiences. Second,

Vera Sarina; Immaculate K. Namukasa

2010-01-01

358

Philosophy, mathematics and education  

Microsoft Academic Search

The central concern of the philosophy of mathematics is to give an account of the nature of mathematics. Views of the nature of mathematics are particularly important in the teaching of mathematics, where they can strongly influence the mathematics curriculum as taught to pupils. However, the distinction must be drawn between stated beliefs as to the nature of mathematics and

Paul Ernest

1989-01-01

359

Dilemma in Teaching Mathematics  

ERIC Educational Resources Information Center

The challenge in mathematics education is finding the best way to teach mathematics. When students learn the reasoning and proving in mathematics, they will be proficient in mathematics. Students must know mathematics before they can apply it. Symbolism and logic is the key to both the learning of mathematics and its effective application to…

Md Kamaruddin, Nafisah Kamariah; Md Amin, Zulkarnain

2012-01-01

360

Broadcasting behavior change: a comparison of the effectiveness of paid and unpaid media to increase folic acid awareness, knowledge, and consumption among Hispanic women of childbearing age.  

PubMed

Awareness about folic acid's effectiveness in reducing the risk of certain birth defects has increased among women in the United States; however, few Hispanic women are consuming enough folic acid daily. A 1998 survey conducted by the Gallup Organization for the National March of Dimes Birth Defects Foundation found that English-speaking Hispanic women had lower folic acid awareness (53% vs. 72%) and lower daily consumption (29% vs. 33%) than non-Hispanic White women. In 1999, the Centers for Disease Control and Prevention (CDC) conducted baseline surveys with Spanish-speaking Hispanic women in selected U.S. markets to measure folic acid awareness, knowledge, and consumption. A Spanish-language public service announcement (PSA) volunteer campaign and a paid Spanish-language media and community education campaign were conducted in 2000 and 2002, respectively. Comparisons of postcampaign surveys indicate that the paid media campaign was significantly more effective than the PSA campaign in increasing folic acid awareness, knowledge, and consumption among Spanish-speaking Hispanic women. PMID:17003248

Flores, Alina L; Prue, Christine E; Daniel, Katherine Lyon

2006-09-26

361

THE MEYERHOFF SCHOLARS PROGRAM: A STRENGTHS-BASED, INSTITUTION-WIDE APPROACH TO INCREASING DIVERSITY IN SCIENCE, TECHNOLOGY, ENGINEERING AND MATHEMATICS  

PubMed Central

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 (STEM) 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 five times more likely than comparison students to pursue a STEM 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 pre-college and college factors have emerged as predictors of successful entrance into a PhD program in the STEM fields, including pre-college research excitement, pre-college intrinsic math/science motivation, number of summer research experiences during college, and college GPA. Limitations of the research to date are noted, and directions for future research are proposed.

Maton, Kenneth I.; Pollard, Shauna A.; McDougall Weise, Tatiana V.; Hrabowski, Freeman A.

2012-01-01

362

Mathematizing Darwin.  

PubMed

Ernst Mayr called the first part of the evolutionary synthesis the 'Fisherian synthesis' on account of the dominant role played by R.A. Fisher in forging a mathematical theory of natural selection together with J.B.S. Haldane and Sewall Wright in the decade 1922-1932. It is here argued that Fisher's contribution relied on a close reading of Darwin's work to a much greater extent than did the contributions of Haldane and Wright, that it was synthetic in contrast to their analytic approach and that it was greatly influenced by his friendship with the Darwin family, particularly with Charles's son Leonard. PMID:21423339

Edwards, A W F

2011-01-01

363

Mathematical foundations of biomechanics.  

PubMed

The aim of biomechanics is the analysis of the structure and function of humans, animals, and plants by means of the methods of mechanics. Its foundations are in particular embedded in mathematics, physics, and informatics. Due to the inherent multidisciplinary character deriving from its aim, biomechanics has numerous connections and overlapping areas with biology, biochemistry, physiology, and pathophysiology, along with clinical medicine, so its range is enormously wide. This treatise is mainly meant to serve as an introduction and overview for readers and students who intend to acquire a basic understanding of the mathematical principles and mechanics that constitute the foundation of biomechanics; accordingly, its contents are limited to basic theoretical principles of general validity and long-range significance. Selected examples are included that are representative for the problems treated in biomechanics. Although ultimate mathematical generality is not in the foreground, an attempt is made to derive the theory from basic principles. A concise and systematic formulation is thereby intended with the aim that the reader is provided with a working knowledge. It is assumed that he or she is familiar with the principles of calculus, vector analysis, and linear algebra. PMID:21303323

Niederer, Peter F

2010-01-01

364

Math Penpals! Developing Written Communication in Mathematics.  

ERIC Educational Resources Information Center

Communication in the mathematics classroom is currently viewed as an integral part of mathematics instruction. This paper explores the usefulness of math penpal letters as a means of increasing the quality of written communication in mathematics. The focus of this study is the letter writing exchanges between a class of 4th-grade students (n=28)…

Phillips, Eileen; Crespo, Sandra

365

Bringing Digital Multimedia in Mathematics Education  

Microsoft Academic Search

The increased interest for developing new representation techniques and tools for proving and demonstrating basic mathematical propositions and concepts is the forefront of educational research worldwide in the area of e-learning for mathematics. Although many novel ideas have been proposed for illustrating basic mathematical (i.e. geometrical) concepts, currently there is a lack of effective methods to dynamically reproduce an alternative

Ioannis Deliyiannis; Andreas Floros; Panayiotis Vlamos; Michael Arvanitis

2008-01-01

366

Investigating Feelings towards Mathematics among Chinese Kindergarten Children  

Microsoft Academic Search

Prior to entering schooling settings, many children exhibit intuitive knowledge of mathematics and many have mastered basic addition combinations. However, often as a result of formal instruction, some children begin to dislike or fear mathematics. In this study, children at a kindergarten in China took a smiley-face survey to determine how their feelings and beliefs about mathematics were affected throughout

Huayu Sun

2009-01-01

367

Mathematics Learning Styles of Chinese Immigrant Students. Final Research Report.  

ERIC Educational Resources Information Center

|Major revision in the U.S. mathematics curriculum since the 1960s have led to significant differences between the mathematics curriculum of the United States and those of many other countries. This study explored how eight Chinese immigrant students, with different cultural backgrounds, mathematics knowledge, and learning styles, learned in an…

Tsang, Sau-Lim

368

An Investigative Approach to Mathematics Teaching and Learning  

Microsoft Academic Search

In this paper, the investigative approach to mathematics teaching and learning as a mathematical inquiry that stems from the constructivist belief is examined. The implications on the nature of mathematical knowledge and activities that the approach requires are also considered and are followed by suggestions on how teachers might use schemes or textbooks to help children gain experiences in investigating.

Teong Su Kwang

369

How Far up Am I? The Mathematics of Stadium Seating  

ERIC Educational Resources Information Center

|The mathematics students are given a task to understand the fundamentals of liner functions by analyzing the height of the football stadium bleachers, as studying mathematical relationships in real-world contexts can enhance a student's knowledge of mathematics. The study of the stadium seating problem helps students to understand quadratic,…

McGraw, Rebecca; Romero, David; Krueger, Robert

2006-01-01

370

An Overview of a Formal Framework for Managing Mathematics  

Microsoft Academic Search

Mathematics is a process of creating, exploring, and connecting mathematical mod- els. This paper presents an overview of a formal framework for managing the mathe- matics process as well as the mathematical knowledge produced by the process. The central idea of the framework is the notion of a biform theory which is simultaneously an axiomatic theory and an algorithmic theory.

William M. Farmer; Martin Von Mohrenschildt

2003-01-01

371

Professional Vision: Elementary Principals' Perceptions of Mathematics Instruction  

Microsoft Academic Search

This study explored 78 elementary school principals’ perceptions of classroom mathematics instruction in an effort to build understanding of the professional vision (Goodwin, 1994) of elementary school principals as it relates to mathematics instruction. This study also tested the theory of Leadership Content Knowledge (Stein & Nelson, 2003) which proposes that principal instructional leadership in mathematics is, in part, dependent

Robert C. Schoen

2010-01-01

372

Early mathematics development and later achievement: Further evidence  

NASA Astrophysics Data System (ADS)

There is a growing international recognition of the importance of the early years of schooling as well as an interest being shown in the relationship of early education to later achievement. This article focuses on a cohort of English pupils who have been tracked through primary school during the first five years of the new National Numeracy Strategy. It reports a limited longitudinal study of young children's early mathematical development, initially within three testing cycles: at the mid-point and towards the end of their reception year (at five years-of-age) and again at the mid-point of Year 1 (at six years-ofage). These cycles were located within the broader context of progress through to the end of Key Stage 1 (at seven years) and Key Stage 2 (at eleven years) on the basis of national standardised assessment tests (SATs). Results showed that children who bring into school early mathematical knowledge do appear to be advantaged in terms of their mathematical progress through primary school. Numerical attainment increases in importance across the primary years and practical problem solving remains an important element of this. This finding is significant given the current emphasis on numerical calculation in the English curriculum. It is concluded that without active intervention, it is likely that children with little mathematical knowledge at the beginning of formal schooling will remain low achievers throughout their primary years and, probably, beyond.

Aubrey, Carol; Godfrey, Ray; Dahl, Sarah

2006-05-01

373

Road to awareness: an individualized training package for increasing knowledge and comprehension of personal deficits in persons with acquired brain injury.  

PubMed

Research suggests that awareness of one's deficits may be a significant factor in the recovery process after acquired brain injuries (ABI). Various methods have been employed to teach awareness of the potential sequelae of ABI. The present study extended the use of a board game format to teach awareness to adults with ABI who exhibited serious unwanted behaviours. It used an individualized training package in conjunction with a game format in order to more specifically target individual client awareness of personal deficits in two areas: cognition and behaviour. Training focused on the first three levels within Bloom's Cognitive Taxonomy: knowledge, comprehension, and application. Components of both the multiple-baseline and multiple-probe design were used to demonstrate experimental control. All three participants responded favourably to training, as evidenced by increases in percentage of questions answered correctly during the game sessions and in pre/post-generalization probes in both cognitive and behavioural categories. PMID:8879667

Chittum, W R; Johnson, K; Chittum, J M; Guercio, J M; McMorrow, M J

1996-10-01

374

1990 National Assessment of Educational Progress in Mathematics: Analysis and Interpretive Remarks of the State of Mathematics Achievement.  

ERIC Educational Resources Information Center

The National Assessment of Educational Progress (NAEP) Report on Mathematics Achievement released on June 6, 1991 confronts educators' professional knowledge regarding mathematics education. In many instances it confirms much of what research has already described, and what many have feared, regarding mathematics education. This analysis provided…

Pisapia, John; Gross, Ena

375

Mathematical Optimization  

NSDL National Science Digital Library

Some of the most fundamental problems in engineering, science, and mathematics would take the most powerful computer in the world several lifetimes to find an optimal solution. However, near-optimal solutions to many of these problems have been discovered thanks to various methods of mathematical optimization. This Topic in Depth looks at some optimization techniques and the areas to which they have been applied.Argonne National Laboratory hosts an online guide (1) to some of the most well known optimization problems and algorithms. People who are new to the subject can find a wealth of introductory material in the Optimization Tree section, and several applications are illustrated with interactive demonstrations in the Case Studies section. Optimization has roots in operations research, and this tutorial (2) covers many topics within OR. A fun applet requires the user to place as many queens on a chess board as possible without any two being in direct line-of-sight, and an accompanying discussion shows how linear programming can be used to solve this problem; this is one of many resources contained within the tutorial. Two chemical engineering professors at Carnegie Mellon University are the authors of Retrospective on Optimization (3), a fairly comprehensive paper chronicling the history of optimization problems and the development of solution methods. The 51-page document is divided into two main parts; the first outlines some of the most significant advances in the field, and the second looks ahead toward key areas of research needed to evolve optimization further. Highway planning and development is the focus of this paper (4), which proposes using, among other things, genetic algorithms to optimize highway alignment. The authors state that this technique could be used to avoid delays and added costs due to changing plans later in the construction process. Another use of genetic algorithms in optimization is highlighted in this document from the German Aerospace Center (5). The document describes how a novel method for robot design, which involves formulating mathematical representations of robotic constraints and kinematics. These figures can then be used as parameters in a genetic algorithm that would optimize component placement while maintaining the desired functionality. A joint effort between architecture and mechanical engineering researchers at the University of Michigan (6) applied geometrical and topological optimization techniques to building floorplan layout. In the course of their research, they developed an optimization tool that is briefly described and can be downloaded from a Web site given in the paper. The Mathematical Programming Glossary (7) contains short discussions of hundreds of terms related to optimization theory. Each entry includes a clear definition and hyperlinks to other terms, and some of the entries are accompanied by a more in-depth supplement. One of the best sources for current research papers and reports is Optimization Online (8). This repository receives numerous submissions each month, and papers can be browsed by data added or category.

Leske, Cavin.

376

Reading Mathematics is Different  

NSDL National Science Digital Library

This publication will discuss why reading mathematics is challenging for many students and what teachers can do. We will examine how mathematics symbols, vocabulary, and content presentation can create roadblocks to studentsâ mathematics understanding. Learn how to address studentsâ difficulties by approaching mathematics as a language and to use specific strategies to improve mathematics learning.

2009-01-01

377

Knowledge Workers or ''Knowledge  

Microsoft Academic Search

This paper focuses on the role of knowledge in policing and questions the application of the notion of network to describe police organizations in themselves or in relationship with each other. First, the concepts of knowledge and of network are critically assessed for their own. Second, their applicability to policing is examined in respect to criminal investigation, the handling of

Jean-Paul Brodeur

378

A Study of Mathematics Anxiety in Pre-Service Teachers  

ERIC Educational Resources Information Center

The study investigated the changes in levels of mathematics anxiety among pre-service teachers in six different sections of a mathematics method courses for early childhood/elementary education pre-service teachers. The changes were a function of using Bruner's framework of developing conceptual knowledge before procedural knowledge and using…

Gresham, Gina

2007-01-01

379

Changing Ways of Thinking about Mathematics by Teaching Game Theory.  

ERIC Educational Resources Information Center

|Describes a high school course created so that it is constructed of four topics dissimilar in character and bearing little mathematical relation to each other, does not demand specific prerequisite knowledge in mathematics, and provides general knowledge of game theory and its concerns. Studies students' grades and attitudes toward the course.…

Gura, Ein-ya

1998-01-01

380

Investigating the Mathematics Incorporated in the Real World as a Starting Point for Mathematics Classroom Activities  

ERIC Educational Resources Information Center

|In this report we present preliminary results of a study on the relationship between informal out-of-school and formal in-school mathematics and the ways each can inform the other in the development of new mathematical knowledge, in this case concerning computation in base 12, 24 or 60. This study is based on a teaching experiment involving a…

Bonotto, Cinzia

2003-01-01

381

Impact of TI MathForward on Mathematics Achievement for General Mathematics and Algebra I Students  

ERIC Educational Resources Information Center

|At Richardson Independent School District (RISD), 7th and 8th grade students who used TI MathForward achieved higher scores on the Texas Assessment of Knowledge and Skills (TAKS) Mathematics than similar 7th and 8th grade students who used other mathematics programs during previous years. This study found evidence that the strongest application…

Empirical Education Inc., 2009

2009-01-01

382

African American Mathematic Student Perceptions of Peers, Education, and Mathematical Experiences.  

ERIC Educational Resources Information Center

This paper studies successful African American students' perception of their mathematics education, mathematics knowledge, and their interaction with peers. Two female and four male participants attending the same southern four-year university completed courses in calculus 1, 2, and 3. Data was gathered using interviews, surveys, exemplary teacher…

Powell-Mikle, Angiline

383

The Comprehensive Mathematics Inventory: An Experimental Instrument for Assessing the Mathematical Competencies of Children Entering School  

ERIC Educational Resources Information Center

Reported is the development of an instrument to assess knowledge of mathematical information by entering kindergarten pupils. Subscales are developed for the areas of geometry, measurement, money, numbers, pattern identification, recall, and mathematics vocabulary. Reliability estimates, intercorrelations of subscales and a factor analysis of…

Reys, Robert E.; Rea, Robert E.

1970-01-01

384

MATHEMATICAL AND SCIENTIFIC CONTENT IN ELECTRONIC PAPERS  

Microsoft Academic Search

Scientific enterprise represents a pivotal area in knowledge creation and dissemination because of its prolific use of emerging information technologies and its close network of researchers in academe, government, and industry as producers and users of knowledge. Ease of use of mathematical and scientific content on the web can facilitate scientific partnerships among multi-institutional, multidisciplinary research teams and the opportunities

D. Allamon; S. Uddin; N. Bantan; J. I. Khan; L. M. Bartolo

385

The Heuristic Function of Mathematics in Physics and Astronomy  

Microsoft Academic Search

This paper considers the role of mathematics in the process of acquiring new knowledge in physics and astronomy. The defining\\u000a of the notions of continuum and discreteness in mathematics and the natural sciences is examined. The basic forms of representing\\u000a the heuristic function of mathematics at theoretical and empirical levels of knowledge are studied: deducing consequences\\u000a from the axiomatic system

Stojan Obradovi?; Slobodan Ninkovi?

2009-01-01

386

Developing mathematical modelling skills: The role of CAS  

Microsoft Academic Search

Mathematical modelling as one component of problem solving is an important part of the mathematics curriculum and problem\\u000a solving skills are often the most quoted generic skills that should be developed as an outcome of a programme of mathematics\\u000a in school, college and university. Often there is a tension between mathematics seen at all levels as ‘a body of knowledge

John Berry

2002-01-01

387

Improving Mathematics Teaching  

ERIC Educational Resources Information Center

|International comparisons are made to improve mathematics teaching in United States. In 1995, the Trends in International Mathematics and Science Study (TIMSS) examined national samples of 8th grade mathematics lessons from Germany, Japan and United States.|

Hiebert, James; Stigler, James W.

2004-01-01

388

Internet Mathematics Library  

NSDL National Science Digital Library

The Internet Mathematics Library is an annotated catalog of mathematics and mathematics education web sites and includes a list of hierarchical categories for browsing. Open-access, subscription fee-for-use, and commercial sites are included in the library.

389

Research Commentary: Reconceptualizing Procedural Knowledge  

ERIC Educational Resources Information Center

|In this article, I argue for a renewed focus in mathematics education research on procedural knowledge. I make three main points: (1) The development of students' procedural knowledge has not received a great deal of attention in recent research; (2) one possible explanation for this deficiency is that current characterizations of conceptual and…

Star, Jon R.

2005-01-01

390

Mathematics for Life: Sustainable Mathematics Education  

ERIC Educational Resources Information Center

Ecological sustainability has not been a major focus of mathematics education research, even though it has attracted considerable attention in other areas of educational research in the past decade. The connections between mathematics education and ecological sustainability are not readily apparent. This paper explores how mathematics educators…

Renert, Moshe

2011-01-01

391

Mathematics for Life: Sustainable Mathematics Education  

ERIC Educational Resources Information Center

|Ecological sustainability has not been a major focus of mathematics education research, even though it has attracted considerable attention in other areas of educational research in the past decade. The connections between mathematics education and ecological sustainability are not readily apparent. This paper explores how mathematics educators…

Renert, Moshe

2011-01-01

392

MathNEXUS: Mathematics Portal  

NSDL National Science Digital Library

This collection of mathematics resources and project activities, produced by a partnership between Western Washington University, Skagit Valley College, Whatcom Community College, and adjacent school districts, spans K-14 education levels and showcases innovative ideas in math pegadogy as well as a range of learning material for students. The partnership is dedicated to increasing mathematics achievement levels for all students and narrowing differences between diverse student populations.

2006-09-24

393

Mathematics for modern precision engineering.  

PubMed

The aim of precision engineering is the accurate control of geometry. For this reason, mathematics has a long association with precision engineering: from the calculation and correction of angular scales used in surveying and astronomical instrumentation to statistical averaging techniques used to increase precision. This study illustrates the enabling role the mathematical sciences are playing in precision engineering: modelling physical processes, instruments and complex geometries, statistical characterization of metrology systems and error compensation. PMID:22802502

Scott, Paul J; Forbes, Alistair B

2012-08-28

394

Increased Alpha (8-12 Hz) Activity during Slow Wave Sleep as a Marker for the Transition from Implicit Knowledge to Explicit Insight  

ERIC Educational Resources Information Center

|The number reduction task (NRT) allows us to study the transition from implicit knowledge of hidden task regularities to explicit insight into these regularities. To identify sleep-associated neurophysiological indicators of this restructuring of knowledge representations, we measured frequency-specific power of EEG while participants slept…

Yordanova, Juliana; Kolev, Vasil; Wagner, Ullrich; Born, Jan; Verleger, Rolf

2012-01-01

395

Increase of Farmers' Knowledge through Farmer Seed Production Schools in Vietnam as Assessed on the Basis of Ex-Ante and Ex-Post Tests  

ERIC Educational Resources Information Center

|The study was designed to assess changes in farmers' knowledge of farmer seed production through schools (FSPSs) in Vietnam. A set of 25 questions covering five technical areas of the seed production process was used for pre and post knowledge testing at 12 FSPSs in the provinces Binh Dinh, Nam Dinh, Nghe An and Dong Thap. The main findings show…

Tin, Huynh Q.; Struik, Paul C.; Price, Lisa L.; Tuyen, Nguyen P.; Hoan, Nguyen P.; Bos, Heleen

2010-01-01

396

Community Based Mathematics Project: Conceptualizing Access through Locally Relevant Mathematics Curricula  

ERIC Educational Resources Information Center

|In this article, the authors describe a conceptual framework for using locally relevant mathematics curricula to increase access to mathematics for marginalized youth. Drawing on different strands of research on equity in mathematics education, the authors propose that there are three kinds of access that are afforded by the use of contexts that…

Ebby, Caroline; Lim, Vivian; Reinke, Luke; Remillard, Janine; Magee, Emily; Hoe, Nina; Cyrus, Maya

2011-01-01

397

Early Mathematics Assessment: Validation of the Short Form of a Prekindergarten and Kindergarten Mathematics Measure  

ERIC Educational Resources Information Center

|In recent years, there has been increased interest in improving early mathematics curricula and instruction. Subsequently, there has also been a rise in demand for better early mathematics assessments, as most current measures are limited in their content and/or their sensitivity to detect differences in early mathematics development among young…

Weiland, Christina; Wolfe, Christopher B.; Hurwitz, Michael D.; Clements, Douglas H.; Sarama, Julie H.; Yoshikawa, Hirokazu

2012-01-01

398

Integrated Science-Mathematics Education Project (ISMEP). Set of Modules.  

ERIC Educational Resources Information Center

The Integrated Science-Mathematics Education Project (ISMEP) is an NSF-funded, interdisciplinary science/mathematics education program for preservice elementary school teachers which fosters an increase in scientific and mathematical literacy, improved attitudes toward science and mathematics, and enhancement of intellectual development on the…

Boggess, Gary W.

399

Supporting English Language Learners' Development of Mathematical Literacy  

ERIC Educational Resources Information Center

In an increasingly technological economy, in order to participate, individuals have to be mathematically literate, which means they must have opportunities to learn mathematics. However, access to mathematics has not always been universal. Traditionally, mathematics classrooms have been places where only a small, select group of individuals, who…

Roberts, Sarah A.

2009-01-01

400

Interest in mathematics and science among students having high mathematics aptitude  

NASA Astrophysics Data System (ADS)

The study investigates why men and women differ in their interest in mathematics and science and in the pursuit of careers in mathematics and science. The most persistent gender differential in educational standard testing is the scores in mathematics achievement. The mean Scholastic Aptitude Test (Mathematics) scores for women are consistently below that of men by about 40 points. One result of this gender differential in mathematics is that few women entertain a career requiring a robust knowledge of higher mathematics (i.e. engineering, computing, or the physical sciences). A large body of literature has been written attempting to explain why this is happening. Biological, cultural, structural and psychological explanations have been suggested and empirically examined. Controlling for mathematical ability is one method of sorting out these explanations. Eliminating mathematical ability as a factor, this dissertation reports the results of a study of men and women college students who all had high mathematics ability. Thus, any differences we found among them would have to be a result of other variables. Using a Mathematics Placement Exam and the SAT-M, forty-two students (12 males and 30 females) with high scores in both were interviewed. Student were asked about their experiences in high school and college mathematics, their career choices, and their attitudes toward mathematics. The findings, that there were no gender differences in the course selection, attitudes towards mathematics, and career choice, differed from my initial expectations. This negative finding suggests that women with high ability in mathematics are just as likely as men to pursue interests in mathematics and related courses in college and in selecting careers.

Ely, Jane Alice

401

The Mathematical Competencies of Toddlers Expressed in Their Play and Daily Life Activities in Norwegian Kindergartens  

ERIC Educational Resources Information Center

|Research on toddlers' mathematical knowledge is sparse. Studies on children's mathematical competencies before school age have mostly focused on older children. Few of the previous studies have included large groups of toddlers, few have been conducted in natural settings, and few have been directed at a broad field of mathematical knowledge. The…

Reikeras, Elin; Loge, Inger Kristine; Knivsberg, Ann-Mari

2012-01-01

402

The Interface between ChE and Mathematics: What Do Students Really Need?  

ERIC Educational Resources Information Center

Summarizes the report given to the Committee on the Undergraduate Program in Mathematics of the Mathematical Association of America (MAA) who is developing new guidelines for instruction in mathematics with a chemical engineering group at Clemson University in order to list specific knowledge and skills in mathematics needed by engineering…

Graham, Michael D.; Ganter, Susan L.

2001-01-01

403

Interesting and Difficult Mathematical Problems: Changing Teachers' Views by Employing Multiple-Solution Tasks  

ERIC Educational Resources Information Center

|The study considers mathematical problem solving to be at the heart of mathematics teaching and learning, while mathematical challenge is a core element of any educational process. The study design addresses the complexity of teachers' knowledge. It is aimed at exploring the development of teachers' mathematical and pedagogical conceptions…

Guberman, Raisa; Leikin, Roza

2013-01-01

404

Twenty Questions about Mathematical Reasoning.  

ERIC Educational Resources Information Center

This paper poses and answers 20 questions about mathematical reasoning. Questions include: (1) Is mathematical reasoning mathematical? (2) Is mathematical reasoning useful? (3) Is mathematical reasoning an appropriate goal of school mathematics? (4) Can teachers teach mathematical reasoning? (5) Can mathematical reasoning be taught? (6) Do skills…

Steen, Lynn Arthur

405

Subject matter knowledge for teaching and the case of functions  

Microsoft Academic Search

Interest in teachers' subject matter knowledge has arisen in recent years. But most of the analysis has been general and not topic-specific. This paper shows how one may approach the question of teachers' knowledge about mathematical topics. It demonstrates the building of an analytic framework of subject matter knowledge for teaching a specific topic in mathematics and then uses the

Ruhama Even

1990-01-01

406

Mathematics "Is" Motivating  

ERIC Educational Resources Information Center

Mathematics is motivating; at least, it should be. I argue that mathematical activity is an inherently attractive enterprise for human beings because as intellectual organisms, we are naturally enticed by the intellectual stimulation of mathematizing, and, as social beings, we are drawn to the socializing aspects of mathematical activity. These…

Ricks, Thomas E.

2010-01-01

407

Mathematics Lessons without ...  

ERIC Educational Resources Information Center

In the Association of Teachers of Mathematics (ATM) Easter conference, 2006, the authors presented a list of important aspects of mathematics lessons, recommended for students to have a positive attitude to mathematics and for teachers to acquire effective teaching. The following are discussed in detail: (1) Mathematics lessons without good…

Cross, Kath; Hibbs, John

2006-01-01

408

Making Sense of Mathematics  

ERIC Educational Resources Information Center

The National Council of Teachers of Mathematics (NCTM) is a voice and advocate for mathematics educators, working to ensure that all students receive equitable mathematics learning of the highest quality. To help teachers and school leaders understand the Common Core State Standards for Mathematics (CCSSM) and to point out how the CCSSM can be…

Umphrey, Jan

2011-01-01

409

Transforming Primary Mathematics  

ERIC Educational Resources Information Center

What is good mathematics teaching? What is mathematics teaching good for? Who is mathematics teaching for? These are just some of the questions addressed in "Transforming Primary Mathematics", a highly timely new resource for teachers which accessibly sets out the key theories and latest research in primary maths today. Under-pinned by findings…

Askew, Mike

2011-01-01

410

Mathematics for Real Life.  

ERIC Educational Resources Information Center

|A set of articles with the theme "Mathematics for Real Life" is presented. These article titles are: (1) Teaching Mathematics as a Tool for Problem Solving; (2) New Math or New Education; (3) Hand Calculators and Math in Primary School; (4) Mass Media in the Mathematical Training of Polish Primary Teachers; (5) The Goals of Mathematics Teaching…

Morsy, Zaghloul, Ed.; Draxler, Alexandra, Ed.

1979-01-01

411

Making Sense of Mathematics  

ERIC Educational Resources Information Center

|The National Council of Teachers of Mathematics (NCTM) is a voice and advocate for mathematics educators, working to ensure that all students receive equitable mathematics learning of the highest quality. To help teachers and school leaders understand the Common Core State Standards for Mathematics (CCSSM) and to point out how the CCSSM can be…

Umphrey, Jan

2011-01-01

412

Transforming Primary Mathematics  

ERIC Educational Resources Information Center

|What is good mathematics teaching? What is mathematics teaching good for? Who is mathematics teaching for? These are just some of the questions addressed in "Transforming Primary Mathematics", a highly timely new resource for teachers which accessibly sets out the key theories and latest research in primary maths today. Under-pinned by findings…

Askew, Mike

2011-01-01

413

Mathematics Lessons without ...  

ERIC Educational Resources Information Center

|In the Association of Teachers of Mathematics (ATM) Easter conference, 2006, the authors presented a list of important aspects of mathematics lessons, recommended for students to have a positive attitude to mathematics and for teachers to acquire effective teaching. The following are discussed in detail: (1) Mathematics lessons without good…

Cross, Kath; Hibbs, John

2006-01-01

414

Knowledge Convergence and Collaborative Learning  

ERIC Educational Resources Information Center

|This paper operationalized the notion of knowledge convergence and assessed quantitatively how much knowledge convergence occurred during collaborative learning. Knowledge convergence was defined as an increase in common knowledge where common knowledge referred to the knowledge that all collaborating partners had. Twenty pairs of college…

Jeong, Heisawn; Chi, Michelene T. H.

2007-01-01

415

Mathematics Awareness Month: Mathematics and the Cosmos  

NSDL National Science Digital Library

April 2005 is Mathematics Awareness Month, which is sponsored each year by the Joint Policy Board for Mathematics "to recognize the importance of mathematics through written materials and an accompanying poster that highlight mathematical developments and applications in a particular area." In addition to the free poster, which can be downloaded or requested by mail, the website also offers various "theme essays." This year's essays address topics such as the mathematical study of the cosmos, mathematical models, and celestial mechanics. A limited number of complimentary copies of a DVD in which astronaut Michael Foale provides his personal account of the experience on Mir and explains the mathematical methods involved in the rescue mission can also be ordered through this website. A section on Related Resources provides links to numerous other online articles addressing this year's theme: mathematics and the cosmos. Institutions are invited to submit information on their Mathematics Awareness events so they can be included in the listing of activities going on across the United States for Mathematics Awareness month.

416

Mathematics education research embracing arts and sciences  

Microsoft Academic Search

As a young field in its own right (unlike the ancient discipline of mathematics), mathematics education research has been\\u000a eclectic in drawing upon the established knowledge bases and methodologies of other fields. Psychology served as an early\\u000a model for a paradigm that valorized psychometric research, largely based in the theoretical frameworks of cognitive science.\\u000a More recently, with the recognition of

Norma Presmeg

2009-01-01

417

The Distribution of Pedagogical Content Knowledge in Cambodia: Gaps and Thresholds in Math Achievement  

ERIC Educational Resources Information Center

|Increasing teacher quality is a major objective of recent Cambodian education policy. In mathematics education literature, pedagogical content knowledge (PCK) has emerged as a critical component of teacher quality that is strongly linked to student achievement. In this study I use data from a large survey of Cambodian schools to investigate the…

Ngo, Federick J.

2013-01-01

418

American Mathematical Society  

NSDL National Science Digital Library

The American Mathematical Society (AMS) aims to further research and scholarship "through programs and services that promote mathematical research and its uses, strengthen mathematical education, and foster awareness and appreciation of mathematics and its connections to other disciplines and to everyday life." Here, visitors will find links to subscription-based and freely accessible books and journals, upcoming events of the AMS, and reference tools. The Mathematical Moments section contains posters and podcasts that "promote the appreciation and understanding of the role mathematics plays in science, nature, technology, and human culture."

2005-10-31

419

The Mathematics and Mathematical Thinking of Seamstresses.  

ERIC Educational Resources Information Center

|This study documents the mathematics practiced by four women in the context of sewing. The study describes the mathematics recognized in the skills, thinking and strategies used by the seamstresses. Through their work, the seamstresses exhibited an understanding of the concepts of angles, direction, parallel, reflection, symmetry, proportion,…

Hancock, Sabrina J. C.

420

School Gardens: An Experiential Learning Approach for a Nutrition Education Program to Increase Fruit and Vegetable Knowledge, Preference, and Consumption among Second-Grade Students  

ERIC Educational Resources Information Center

|Objective: To examine the effects of a school garden on children's fruit and vegetable knowledge, preference, and consumption. Design: Self-report questionnaires, interview-style taste and rate items, lunchroom observations. Setting: An elementary school. Participants: Second-grade students (n = 115). Intervention: Participants were assigned to…

Parmer, Sondra M.; Salisbury-Glennon, Jill; Shannon, David; Struempler, Barbara

2009-01-01

421

Encouraging Thinking in Mathematics.  

ERIC Educational Resources Information Center

Too many approaches to mathematics instruction at the elementary level focus only on the production of correct answers rather than on the development of mathematical thinking skills. Author urges encouragement of children's own thought processes. (Author/PGD)

Kamii, Constance

1982-01-01

422

Mathematics of Competing Risks.  

National Technical Information Service (NTIS)

The presentation attempts to formulate the mathematical concepts and the theory of competing risks common to various fields of practical application. Problems and techniques for dealing with them are described. Mathematical arguments are completely includ...

Z. W. Birnbaum

1979-01-01

423

The Virtual Mathematics Center  

NSDL National Science Digital Library

Preprints and online journals from a wide variety of math and science organizations; Math video lectures; Online math dictionaries and encylopedias; mathematics courses, tutorials and databases; courses by subject; related mathematics information and databases.

Martindale, Jim.

2007-03-21

424

Activating Event Knowledge  

ERIC Educational Resources Information Center

An increasing number of results in sentence and discourse processing demonstrate that comprehension relies on rich pragmatic knowledge about real-world events, and that incoming words incrementally activate such knowledge. If so, then even outside of any larger context, nouns should activate knowledge of the generalized events that they denote or…

Hare, Mary; Jones, Michael; Thomson, Caroline; Kelly, Sarah; McRae, Ken

2009-01-01

425

Activating Event Knowledge  

ERIC Educational Resources Information Center

|An increasing number of results in sentence and discourse processing demonstrate that comprehension relies on rich pragmatic knowledge about real-world events, and that incoming words incrementally activate such knowledge. If so, then even outside of any larger context, nouns should activate knowledge of the generalized events that they denote or…

Hare, Mary; Jones, Michael; Thomson, Caroline; Kelly, Sarah; McRae, Ken

2009-01-01

426

Mathematics and Architecture Design  

NSDL National Science Digital Library

A unit about architecture and its unique relation to mathematics, incorporating the study of such mathematical concepts as ratio, proportion, scales, symmetry, and similarity, and providing definitions and explanations of the mathematical concepts of elementary geometry, stating their connection to architecture. Activities include lesson plans on ratio and proportion as they relate to architectural designing, model building, the need for mathematical accuracy in measuring, and the analysis of buildings from drawings.

Morgan, Winnifred

2007-02-19

427

Mathematics Gateways and Resources  

NSDL National Science Digital Library

The Mathematics Gateways and Resources collection is comprised of mathematics-related web portals, web sites, and individual digital resources in many areas of the discipline, including algebra, applied math, arithmetic, calculus, functions, geometry, measurement, number sense, probability and statistics, and others. Here may be found materials for mathematics educators and learners (early childhood through graduate school), resources intended for the general public, and materials aimed at mathematics research communities.

2008-03-14

428

Education reform and subject matter knowledge  

Microsoft Academic Search

This article raises the question of what K-12 teachers need to know to teach mathematics and science well. It begins by examining reform proposals for K-12 science and mathematics teaching with an eye toward defining what good teaching practice consists of. It then examines a wide range of lit- erature to delineate the varieties of knowledge that have been associated

Mary M. Kennedy

1998-01-01

429

Mathematics Teaching Today  

ERIC Educational Resources Information Center

|This article describes features, consistent messages, and new components of "Mathematics Teaching Today: Improving Practice, Improving Student Learning" (NCTM 2007), an updated edition of "Professional Standards for Teaching Mathematics" (NCTM 1991). The new book describes aspects of high-quality mathematics teaching; offers a model for…

Martin, Tami S.; Speer, William R.

2009-01-01

430

Applying Mathematical Processes (AMP)  

ERIC Educational Resources Information Center

|This article provides insights into the "Applying Mathematical Processes" resources, developed by the Nuffield Foundation. It features Nuffield AMP activities--and related ones from Bowland Maths--that were designed to support the teaching and assessment of key processes in mathematics--representing a situation mathematically, analysing,…

Kathotia, Vinay

2011-01-01

431

Mathematics and Sports  

ERIC Educational Resources Information Center

"Mathematics and Sports", edited by Joseph A. Gallian, gathers 25 articles that illuminate the power and role of mathematics in the worlds of professional and recreational play. Divided into sections by the kind of sports, the book offers source materials for classroom use and student projects. Readers will encounter mathematical ideas from an…

Gallian, Joseph A., Ed.

2010-01-01

432

Mathenger Hunt: Mathematics Matters.  

ERIC Educational Resources Information Center

Presented is an activity which shows how mathematics is used in real life and helps to establish a need for mathematics in students' futures. Adapted from a scavenger-hunt idea, this activity helps students to discover that almost every career makes use of mathematics. (KR)

Falba, Christy J.; Weiss, Maria J.

1991-01-01

433

Mathematical Discovery: Hadamard Resurected  

ERIC Educational Resources Information Center

|In 1943 Jacques Hadamard gave a series of lectures on mathematical invention at the Ecole Libre des Hautes Etudes in New York City. These talks were subsequently published as The Psychology of Mathematical Invention in the Mathematical Field (Hadamard, 1945). In this article I present a study that mirrors the work of Hadamard. Results both…

Liljedahl, Peter

2004-01-01

434

Reading, Mathematics, and Thought.  

ERIC Educational Resources Information Center

|Mathematics has its own unique vocabulary as well as words which cut across all academic disciplines. It also has abstract symbols which belong to mathematics solely. Words and symbols need to be read meaningfully by students. Along with reading, mathematics teaching stresses the use of a variety of learning opportunities to guide students to…

Ediger, Marlow

435

Mathematics for Electronics.  

ERIC Educational Resources Information Center

|This set of 20 modules was designed for use primarily to help teach and reinforce the basic mathematics skills in electronics classes. The modules are based on electronics competencies that require mathematics skills, as determined by a panel of high school electronics and mathematics teachers. Each module consists of one or two pages of basic…

Clary, Joseph R.; Nery, Karen P.

436

Semi-Automated Mathematics  

Microsoft Academic Search

The fifth in a series of experiments in semi-automated mathematics is described. These experiments culminated in large complex computer programs which allow a mathematician to prove mathematical theorems on an man\\/machine basis. SAM V, the fifth program, is oriented primarily toward the development of efficient automatic techniques for handling some of the more basic processes of mathematical deduction, and toward

J. R. Guard; F. C. Oglesby; J. H. Bennett; L. G. Settle

1969-01-01

437

Mathematics. [SITE 2001 Section].  

ERIC Educational Resources Information Center

|This document contains the following papers on mathematics from the SITE (Society for Information Technology & Teacher Education) 2001 conference: "Secondary Mathematics Methods Course with Technology Units: Encouraging Pre-Service Teachers To Use Technology" (Rajee Amarasinghe); "Competency Exams in College Mathematics" (Kathy R. Autrey and…

Connell, Michael L., Ed.; Lowery, Norene Vail, Ed.; Harnisch, Delwyn L., Ed.

438

Mathematics and Sports  

ERIC Educational Resources Information Center

|"Mathematics and Sports", edited by Joseph A. Gallian, gathers 25 articles that illuminate the power and role of mathematics in the worlds of professional and recreational play. Divided into sections by the kind of sports, the book offers source materials for classroom use and student projects. Readers will encounter mathematical ideas from an…

Gallian, Joseph A., Ed.

2010-01-01

439

Equity and mathematics education  

Microsoft Academic Search

This special edition arose from two mathematics education forums working with ideas of equity, inclusion, and diversity—the Social Justice Special Interest Group at MERGA and the Equity Topic Group at ICME. Both forums recognise the important role that mathematics plays in school and life beyond school but in so doing, also saw important to the work of mathematics educators, that

Robyn Zevenbergen; Luis Ortiz-Franco

2002-01-01

440

A "Mathematics Background Check"  

ERIC Educational Resources Information Center

|Early in my career someone else reported that the best indicator of success in calculus-based physics (CBP) at our school was whether students had taken mathematics in a certain region of New Brunswick. I sat down with a very longtime mathematics teacher and asked him what he thought students should know in mathematics after high school to…

Hubisz, John

2009-01-01

441

Mathematics. [SITE 2001 Section].  

ERIC Educational Resources Information Center

This document contains the following papers on mathematics from the SITE (Society for Information Technology & Teacher Education) 2001 conference: "Secondary Mathematics Methods Course with Technology Units: Encouraging Pre-Service Teachers To Use Technology" (Rajee Amarasinghe); "Competency Exams in College Mathematics" (Kathy R. Autrey and Leigh…

Connell, Michael L., Ed.; Lowery, Norene Vail, Ed.; Harnisch, Delwyn L., Ed.

442

Making Mathematics Phenomenal  

ERIC Educational Resources Information Center

|Mathematics is often portrayed as an "abstract" cerebral subject, beyond the reach of many. In response, research with digital technology has led to innovative design in which mathematics can be experienced much like everyday phenomena. This lecture examines how careful design can "phenomenalise" mathematics and support not only engagement but…

Pratt, Dave

2012-01-01

443

Awareness of Pattern and Structure in Early Mathematical Development  

ERIC Educational Resources Information Center

|Recent educational research has turned increasing attention to the structural development of young students' mathematical thinking. Early algebra, multiplicative reasoning, and spatial structuring are three areas central to this research. There is increasing evidence that an awareness of mathematical structure is crucial to mathematical

Mulligan, Joanne; Mitchelmore, Michael

2009-01-01

444

The Classical Structure of Blood Biochemistry-a Mathematical Model.  

National Technical Information Service (NTIS)

The mathematical simulation of human blood biochemistry includes the results of detailed chemical analysis of human blood under a variety of chemical stresses. Mathematical simulations of increasing degrees of complexity are developed. A rudimentary blood...

E. C. DeLand

1966-01-01

445

Mathematical Theory of Peer-Instruction Dynamics  

ERIC Educational Resources Information Center

A mathematical theory of peer instruction describing the increase of the normalized number of correct answers due to peer discussion is presented. A simple analytic expression is derived which agrees with class data. It is shown that our theory is connected to the mathematical learning models proposed by Pritchard et al. It is also shown that…

Nitta, Hideo

2010-01-01

446

Assessing Students' Conceptions of Reform Mathematics.  

ERIC Educational Resources Information Center

|As the use of National Science Foundation (NSF)-sponsored, reform- oriented mathematics curricula has become more prevalent across the U.S., an increasing number of researchers are attempting to study the "impact" of reform. In particular, mathematics educators are interested in determining whether reforms are having the desired effects on…

Star, Jon R.; Hoffmann, Amanda J.

447

Mathematics Support: Real, Virtual and Mobile  

ERIC Educational Resources Information Center

|As a response to the "Mathematics Problem" many universities introduced mathematics support provision. These additional learning opportunities were invariably in a specific physical location and available at certain times. In order to increase the number and types of students who could access support e-learning resources were made available using…

Lawson, Duncan A.; Carpenter, Sarah L.; Croft, Anthony C.

2008-01-01

448

Teachers' Perspectives on the Everyday Mathematics Program  

ERIC Educational Resources Information Center

|The University of Chicago Everyday Mathematics Program is among the nation's most popular programs used in schools throughout the United States. However, despite the widespread use of the Everyday Mathematics Program, a disconnect exists between the increased acceptance of the program in elementary schools throughout the United States and student…

Vlantis, Theresa J.

2011-01-01

449

Teachers' Perspectives on the Everyday Mathematics Program  

ERIC Educational Resources Information Center

The University of Chicago Everyday Mathematics Program is among the nation's most popular programs used in schools throughout the United States. However, despite the widespread use of the Everyday Mathematics Program, a disconnect exists between the increased acceptance of the program in elementary schools throughout the United States and student…

Vlantis, Theresa J.

2011-01-01

450

Mathematics and Academic Diversity in Japan  

ERIC Educational Resources Information Center

Japanese education has been the subject of considerable research and educational commentary in the United States over the last 20 years. Since the early 1990s, there has been increased interest in Japanese methods for teaching mathematics, and the Third International Mathematics and Science Study has accelerated American interest in Japanese…

Woodward, J.; Ono, Y.

2004-01-01

451

Connecting Reading and Mathematical Strategies  

ERIC Educational Resources Information Center

|Recent years have witnessed a growing interest in interdisciplinary teaching and learning in the elementary grades. Teachers are increasingly looking for ways to help their students integrate literacy instruction with content area learning. This article highlights some of the similarities between reading comprehension and mathematical

Halladay, Juliet L.; Neumann, Maureen D.

2012-01-01

452

Mathematics Tutoring and Student Success  

Microsoft Academic Search

Courses in tertiary level Science Technology, Engineering and Mathematics (STEM) are perceived by some students as time-consuming, tedious and difficult. The increasing “attrition rate” of this cohort of college students is usually attributed to several factors. Retention and intervention programs under the umbrella of student support services can be put in place to mitigate the worsening situation. Most universities and

Junalyn Navarra-Madsen; Paul Ingram

2010-01-01

453

Supporting Assessment in Undergraduate Mathematics  

ERIC Educational Resources Information Center

|This publication contains 29 case studies offering lessons learned during a four year NSF-supported MAA project designed to support mathematicians and mathematics departments in the increasingly important challenge of assessing student learning. Three introductory essays set assessment in broader academic and national contexts; an appendix…

Steen, Lynn Arthur, Ed.

2006-01-01

454

Knowledge Management.  

ERIC Educational Resources Information Center

|The first of the four papers in this symposium, "Knowledge Management and Knowledge Dissemination" (Wim J. Nijhof), presents two case studies exploring the strategies companies use in sharing and disseminating knowledge and expertise among employees. "A Theory of Knowledge Management" (Richard J. Torraco), develops a conceptual framework for…

1999

455

Unequal Knowledge.  

ERIC Educational Resources Information Center

|Discusses how the persistence of knowledge inequalities influences higher education. Explores how the control of and access to knowledge affects human well being (i.e., control over production of knowledge, control over its distribution, and access to knowledge by people whose well being it will or could affect). (EV)|

Tilly, Charles

2003-01-01

456

A Conceptual Framework for High School Mathematics. Final Report.  

ERIC Educational Resources Information Center

Presented is the final report of a one-year project on the structure of high school mathematics knowledge sponsored by the National Institute of Education (NIE). The main body contains conclusions on a conceptual framework for representing high school mathematics. Results are presented through discussion of three domains from the secondary school…

Rissland, Edwina L.; Waisbrot, Sally

457

Communication Protocols for Mathematical Services based on KQML and OMRS  

Microsoft Academic Search

. In this paper we describe the rst ideas for formalizing a communicationprotocol for mathematical services based on Kqml (KnowledgeQuery and Manipulation Language) and OMRS (Open Mechanized ReasoningSystems). The claim is that the interaction level of a communicationprotocol for mathematical services can be relatively generic (hence Kqmlsuces), as long as the ontology of the computational behavior and internalstate of the

Alessandro Armando; Michael Kohlhase; Silvio Ranise

2000-01-01

458

Visual modeling as a motivation for studying mathematics and art  

Microsoft Academic Search

The paper deals with the possibility of enriching the curriculum in mathematics, informatics and art by means of visual modeling of abstract paintings. The authors share their belief that in building a computer model of a construct, one gains deeper insight into the construct, and is motivated to elaborate one’s knowledge in mathematics and informatics. This idea is demonstrated in

Evgenia Sendova; Slavica Grkovska

2005-01-01

459

Understanding Students' Out-of-School Mathematics and Science Practice  

ERIC Educational Resources Information Center

This study examined standard 6 and 8 (Standards 6 and 8 are the sixth and eighth years, respectively, of primary level schooling in Kenya.) students' perceptions of how they use mathematics and science outside the classroom in an attempt to learn more about students' everyday mathematics and science practice. The knowledge of students' everyday…

Masingila, Joanna O.; Muthwii, Samson M.; Kimani, Patrick M.

2011-01-01

460

The Roles of the Aesthetic in Mathematical Inquiry  

ERIC Educational Resources Information Center

|Mathematicians have long claimed that the aesthetic plays a fundamental role in the development and appreciation of mathematical knowledge. To date, however, it has been unclear how the aesthetic might contribute to the teaching and learning of school mathematics. This is due in part to the fact that mathematicians' aesthetic claims have been…

Sinclair, Nathalie

2004-01-01

461

On the Integration of Digital Technologies into Mathematics Classrooms  

Microsoft Academic Search

Trouche’s [Third Computer Algebra in Mathematics Education Symposiums, Reims, France, June 2003] presentation at the Third Computer Algebra in Mathematics Education Symposium focused on the notions of instrumental genesis and of orchestration: the former concerning the mutual transformation of learner and artefact in the course of constructing knowledge with technology; the latter concerning the problem of integrating technology into classroom

Celia Hoyles; Richard Noss; Phillip Kent

2004-01-01

462

Not Your Usual Maths Course: critical mathematics education for adults  

Microsoft Academic Search

This article describes an action research project that investigated which features of critical theory were useful for teaching everyday mathematics in an evening course for adults. Paulo Freire's philosophy of education and Jürgen Habermas’ theory of knowledge interests are among the main influences on exponents of critical mathematics education such as Ole Skovsmose and Marilyn Frankenstein. Through the use of

Rachel Patrick

1999-01-01

463

Reflective Field Experiences for Success in Teaching Elementary Mathematics  

ERIC Educational Resources Information Center

In this paper, the author discusses the major components of a junior level pedagogy course for elementary education majors learning to teach mathematics. The course reviews content and knowledge of the teacher candidates and introduces methods and materials for teaching elementary mathematics using the Standards or benchmarks from the National…

Robards, Shirley N.

2009-01-01

464

Professional Vision: Elementary School Principals' Perceptions of Mathematics Instruction  

ERIC Educational Resources Information Center

|This study explored 78 elementary school principals' perceptions of classroom mathematics instruction in an effort to build understanding of the professional vision (Goodwin, 1994) of elementary school principals as it relates to mathematics instruction. This study also tested the theory of Leadership Content Knowledge (Stein & Nelson, 2003)…

Schoen, Robert C.

2010-01-01

465

The impact of the incompleteness theorems on mathematics  

Microsoft Academic Search

In addition to this being the centenary of Kurt Gödel's birth, January marked 75 years since the publication (1931) of his stunning incompleteness theorems. Though widely known in one form or another by practicing mathematicians, and generally thought to say something fundamental about the limits and potentialities of mathematical knowledge, the actual importance of these results for mathematics is little

Solomon Feferman

466

The Technological Mediation of Mathematics and Its Learning  

ERIC Educational Resources Information Center

|This paper examines the extent to which mathematical knowledge, and its related pedagogy, is inextricably linked to the tools--physical, virtual, cultural--in which it is expressed. Our goal is to focus on a few exemplars of computational tools, and to describe with some illustrative examples, how mathematical meanings are shaped by their use. We…

Hoyles, Celia; Noss, Richard

2009-01-01

467

An Exploration of Pre-Service Elementary Teachers' Mathematical Beliefs  

ERIC Educational Resources Information Center

|The important role of beliefs in the learning and teaching of mathematics has been largely acknowledged in the literature. Pre-service teachers, in particular, have been shown to possess mathematical beliefs that are often traditional in nature (i.e. viewing teachers as the transmitters of knowledge and students as the passive recipients of that…

Shilling, Leah Nicole

2010-01-01

468

Examples of Mathematical Modeling  

PubMed Central

Mathematical modeling is being increasingly recognized within the biomedical sciences as an important tool that can aid the understanding of biological systems. The heavily regulated cell renewal cycle in the colonic crypt provides a good example of how modeling can be used to find out key features of the system kinetics, and help to explain both the breakdown of homeostasis and the initiation of tumorigenesis. We use the cell population model by Johnston et al.5 to illustrate the power of mathematical modeling by considering two key questions about the cell population dynamics in the colonic crypt. We ask: how can a model describe both homeostasis and unregulated growth in tumorigenesis; and to which parameters in the system is the model most sensitive? In order to address these questions, we discuss what type of modeling approach is most appropriate in the crypt. We use the model to argue why tumorigenesis is observed to occur in stages with long lag phases between periods of rapid growth, and we identify the key parameters.

Johnston, Matthew D.; Edwards, Carina M.; Bodmer, Walter F.; Maini, Philip K.; Chapman, S. Jonathan

2008-01-01

469

Mathematical and Scientific Literacy around the World  

ERIC Educational Resources Information Center

|PISA, the OECD's international program of assessment of reading, scientific and mathematical literacy, aims to assess the knowledge and skills that students have acquired at school and their ability to use them in everyday tasks and challenges. It also uses questionnaires to gather data on students' attitudes to learning and the conditions of…

Stacey, Kaye

2010-01-01

470

XY Encounter: A Mathematical Adventure. [Videotape].  

ERIC Educational Resources Information Center

|This video offers an exciting four-part adventure about two teenage sleuths who discover the presence of an alien below New York City. As they try to make contact with the alien, they are confronted with a series of mathematical challenges that test their knowledge of the content strands recommended by the National Council of Teachers of…

2000

471

Mapping Children's Understanding of Mathematical Equivalence  

ERIC Educational Resources Information Center

|The focus of this research is to develop an initial framework for assessing and interpreting students' level of understanding of mathematical equivalence. Although this topic has been studied for many years, there has been no systematic development or evaluation of a valid measure of equivalence knowledge. A powerful method for accomplishing this…

Taylor, Roger S.; Rittle-Johnson, Bethany; Matthews, Percival G.; McEldoon, Katherine L.

2009-01-01

472

Mathematics Education and Comparative Studies: Two Examples  

Microsoft Academic Search

The 'Meraner Reform' of 1905 in Germany and the IEA mathematics study of 1967 are examples of the changed perception of the meaning and uses of comparative education: a rather narrow, utilitarian approach to school practices was succeeded by successful cross- national research emphasizing its potential for extending fundamental educational knowledge on a global basis. 1 \\

Jörn Bruhn

473

Semantic Technologies for Mathematical eLearning?  

Microsoft Academic Search

With the globalisation in education, bridging cultural dif- ferences by making course material more accessible and adaptable to individual user needs becomes an important goal. In this paper we at- tack this goal for the eld of mathematics where knowledge is abstract, highly structured, and extraordinary interlinked. Modern representation formats like our OMDoc format allow us to capture, model, relate,

Christine Muller; Michael Kohlhase

474

Mathematics Prerequisites for Introductory Geoscience Courses: Using Technology to Help Solve the Problem  

NASA Astrophysics Data System (ADS)

The quantitative components of introductory geoscience courses can pose significant barriers to students. Many academic departments respond by stripping courses of their quantitative components or by attaching prerequisite mathematics courses [PMC]. PMCs cause students to incur additional costs and credits and may deter enrollment in introductory courses; yet, stripping quantitative content from geoscience courses masks the data-rich, quantitative nature of geoscience. Furthermore, the diversity of math skills required in geoscience and students' difficulty with transferring mathematical knowledge across domains suggest that PMCs may be ineffective. Instead, this study explores an alternative strategy -- to remediate students' mathematical skills using online modules that provide students with opportunities to build contextual quantitative reasoning skills. The Math You Need, When You Need It [TMYN] is a set of modular online student resources that address mathematical concepts in the context of the geosciences. TMYN modules are online resources that employ a "just-in-time" approach - giving students access to skills and then immediately providing opportunities to apply them. Each module places the mathematical concept in multiple geoscience contexts. Such an approach illustrates the immediate application of a principle and provides repeated exposure to a mathematical skill, enhancing long-term retention. At the same time, placing mathematics directly in several geoscience contexts better promotes transfer of learning by using similar discourse (words, tools, representations) and context that students will encounter when applying mathematics in the future. This study uses quantitative and qualitative data to explore the effectiveness of TMYN modules in remediating students' mathematical skills. Quantitative data derive from ten geoscience courses that used TMYN modules during the fall 2010 and spring 2011 semesters; none of the courses had a PMC. In all courses, students completed a pretest, the assigned modules, and a posttest. Success in remediation was measured using normalized gain scores, which measures the change in score divided by the maximum possible increase: (posttest-pretest)/(1-pretest). To compare across courses, normalized gain scores were standardized. Additional analysis included disaggregating normalized gain scores by quartiles based on pretest scores. The results were supplemented by qualitative data from faculty interviews and information provided by faculty on a web form upon completion of the course. Results suggest TMYN modules remediate mathematical skills effectively, and that normalized gains tend to be higher for students in the lower quartiles on the pretest. Students indicate finding the modules helpful, though sometimes difficult. Faculty interview data triangulate these findings and provide further evidence that online, modularized remediation is an effective alternative to assigning prerequisite mathematical courses to remediate mathematical skills.

Burn, H. E.; Wenner, J. M.; Baer, E. M.

2011-12-01

475

Advancing Knowledge and the Knowledge Economy  

NSDL National Science Digital Library

The attention paid to the burgeoning "knowledge economy" continues to grow, particularly within the halls of higher education, the federal government, and in the private sector. This past January, the National Science Foundation (in collaboration with other institutions) convened a conference designed "to broaden and deepen common understanding of how difficult-to-measure knowledge resources drive an increasing virtualized economy and to assess prospects for advancing and regenerating knowledge infrastructure, institutions, and policies." While the conference itself is finished, users interested in these themes will appreciate this site, which offers some material about these various issues, along with material on the program itself and the work presented there. After examining these background materials, visitors will want to peruse the draft papers presented at the conference, which deal with networks of knowledge, measuring knowledge, and knowledge clusters.

476

Mathematical identity in women: The concept, its components and relationship to educative ability, achievement and family support  

Microsoft Academic Search

Mathematical identity and its relationship to mathematical achievement, educative ability and study support were studied among 133 women enrolled in the Swedish adult education system. A model of mathematical identity was constructed including self?perceived mathematical knowledge, ability, motivation and anxiety. This model was transformed into a statistical factor model, tested using Lisrel. An acceptable fit was obtained. The first three

Gun B. M. Axelsson

2009-01-01

477

Considerations on conceptual knowledge representation  

NASA Astrophysics Data System (ADS)

In this paper we discuss fundamental issues of the conceptual knowledge representation. The primary objective of this contribution is to show some similarities between formal concept analysis and other mathematical structures. These similarities induce a number of questions to be broached in further interdisciplinary research.

Porwolik, Marek; Mulawka, Jan

2011-06-01

478

Content Area Reading Pedagogy and Domain Knowledge: A Bourdieusian Analysis  

ERIC Educational Resources Information Center

|The twofold purpose of this study was to trace prospective and practicing mathematics teachers' understandings of content area reading instruction in relation to domain knowledge in mathematics, and to examine the extent to which online pedagogical mentoring supported the integration of such instruction and knowledge. The design called for two…

Alvermann, Donna; Friese, Elizabeth; Beckmann, Sybilla; Rezak, Achariya

2011-01-01

479

Patterns of Strengths and Weaknesses in Children's Knowledge about Fractions  

ERIC Educational Resources Information Center

|The purpose of this study was to explore individual patterns of strengths and weaknesses in children's mathematical knowledge about common fractions. Tasks that primarily measure either conceptual or procedural aspects of mathematical knowledge were assessed with the same children in their fourth- and fifth-grade years (N = 181, 56% female and…

Hecht, Steven A.; Vagi, Kevin J.

2012-01-01

480

Knowledge convergence and collaborative learning  

Microsoft Academic Search

This paper operationalized the notion of knowledge convergence and assessed quantitatively how much knowledge convergence\\u000a occurred during collaborative learning. Knowledge convergence was defined as an increase in common knowledge where common\\u000a knowledge referred to the knowledge that all collaborating partners had. Twenty pairs of college students collaborated to\\u000a learn a science text about the human circulatory system. Comparisons of individual

Heisawn Jeong; Michelene T. H. Chi

2007-01-01

481

Helping Children Learn Mathematics  

NSDL National Science Digital Library

This booklet provides information to guide the improvement of school mathematics from pre-K through grade 8, with a focus on the realm of number. The authors explain five strands of mathematical proficiency and discuss the major changes needed in mathematics instruction, instructional materials, assessments, teacher education, and the broader educational system. It answers some of the frequently asked questions regarding mathematics instruction and recommends actions for parents and caregivers, teachers, administrators, and policy makers, stressing the importance of working together to create a mathematically literate society. At this website visitors may read the book online, download a free copy (pdf) or purchase a hard copy. This is a 39-page summary of a comprehensive report, Adding It Up: Helping Children Learn Mathematics, which is cataloged separately.

Mathematics Learning Study Committee, National R.

2002-01-01

482

Perspectives: Science and Mathematics--A Natural Connection  

NSDL National Science Digital Library

Nowhere in our daily lives do we separate tasks into specific subjects before we take action. Yet in schools we continue to teach the various disciplines as separate areas of knowledge. What if school, like the real world, could be more connected? Connections between science and mathematics seem natural. Student learning should benefit when teachers make the connections between science and mathematics explicit, because science provides concrete examples of abstract mathematical ideas, and mathematics helps students achieve deep understanding of science concepts (McBride and Silverman 1991).

Volkmann, Mark J.; Rogers, Meredith A.; Abell, Sandra K.

2007-10-01

483

Assessment of Primary 5 Students' Mathematical Modelling Competencies  

ERIC Educational Resources Information Center

|Mathematical modelling is increasingly becoming part of an instructional approach deemed to develop students with competencies to function as 21st century learners and problem solvers. As mathematical modelling is a relatively new domain in the Singapore primary school mathematics curriculum, many teachers may not be aware of the learning…

Chan, Chun Ming Eric; Ng, Kit Ee Dawn; Widjaja, Wanty; Seto, Cynthia

2012-01-01

484

Towards Understanding the Origins of Children's Difficulties in Mathematics Learning  

ERIC Educational Resources Information Center

|Contemporary research from a psychology of mathematics education perspective has turned increasing attention to the structural development of mathematics as an explanation for the wide differences in mathematical competence shown upon school entry and in the early school years. Patterning, multiplicative reasoning and spatial structuring are…

Mulligan, Joanne

2011-01-01

485

Mathematics Preparation and Professional Development of Deaf Education Teachers  

Microsoft Academic Search

With the world increasingly dependent on mathematics and problem-solving skills, the poor mathematics performance of deaf and hard of hearing students is cause for concern. The present article focuses on the mathematics competency of teachers of deaf and hard of hearing students as a factor in this poor performance. As part of a larger study (Pagliaro, 1996, 1998a), deaf education

Claudia M. Pagliaro

1998-01-01

486

Catering for mathematically gifted elementary students: Learning from challenging tasks  

Microsoft Academic Search

Mathematical learning in gifted children depends on the nature of the mathematical task and the implementation of effective teaching strategies. In this paper, we argue the importance of increasing the complexity of regular classroom mathematical tasks to provide gifted children with opportunities to experience greater challenge. The approach is illustrated by the experience of a young gifted girl who finds

James J Watters; Carmel M Diezmann

487

"I Finally Get It!": Developing Mathematical Understanding during Teacher Education  

ERIC Educational Resources Information Center

|A deep conceptual understanding of elementary mathematics as appropriate for teaching is increasingly thought to be an important aspect of elementary teacher capacity. This study explores preservice teachers' initial mathematical understandings and how these understandings developed during a mathematics methods course for upper elementary…

Holm, Jennifer; Kajander, Ann

2012-01-01

488

Towards Understanding the Origins of Children's Difficulties in Mathematics Learning  

ERIC Educational Resources Information Center

Contemporary research from a psychology of mathematics education perspective has turned increasing attention to the structural development of mathematics as an explanation for the wide differences in mathematical competence shown upon school entry and in the early school years. Patterning, multiplicative reasoning and spatial structuring are three…

Mulligan, Joanne

2011-01-01

489

Advanced Mathematics Course-Taking: A Focus on Gender Equifinality  

ERIC Educational Resources Information Center

|High school mathematics achievement predicts future success. Potentially different factors that lead to success for boys versus girls, termed equifinality, are not well understood. Such factors are needed to inform interventions to increase numbers of students taking advanced mathematics courses and going on into science and mathematics careers.…

You, Sukkyung; Sharkey, Jill D.

2012-01-01

490

Mathematics in Action: Two New Zealand Case Studies.  

ERIC Educational Resources Information Center

Mathematics is playing an increasingly important role in business and industry. In this paper we present two case studies to illustrate the power and impact of mathematics in two important practical applications in New Zealand. The first case study describes the development of a mathematical optimization model to maximize the value of aluminum…

Ryan, David M.

491

The Evolution of Mathematical Reasoning: Everyday versus Idealized Understandings  

Microsoft Academic Search

Developmental psychology lacks a theory of mathematical reasoning that accounts for how learners appropriate conventional symbol systems into their thinking. In this essay we attempt to consider how students' mathematical thinking evolves not only as a result of their actions and everyday experiences but also from their increasing reliance on introduced mathematical principles and representations. First we contrast how certain

Analucia D. Schliemann; David W. Carraher

2002-01-01

492

Mathematical Models and the Experimental Analysis of Behavior  

ERIC Educational Resources Information Center

The use of mathematical models in the experimental analysis of behavior has increased over the years, and they offer several advantages. Mathematical models require theorists to be precise and unambiguous, often allowing comparisons of competing theories that sound similar when stated in words. Sometimes different mathematical models may make…

Mazur, James E.

2006-01-01

493

Mathematical Models and the Experimental Analysis of Behavior  

Microsoft Academic Search

The use of mathematical models in the experimental analysis of behavior has increased over the years, and they offer several advantages. Mathematical models require theorists to be precise and unambiguous, often allowing comparisons of competing theories that sound similar when stated in words. Sometimes different mathematical models may make equally accurate predictions for a large body of data. In such

JAMES E. MAZUR

2006-01-01

494

Mathematics reflecting sensorimotor organization  

Microsoft Academic Search

.  ?This review combines short presentations of several mathematical approaches that conceptualize issues in sensorimotor neuroscience\\u000a from different perspectives and levels of analysis. The intricate organization of neural structures and sensorimotor performance\\u000a calls for characterization using a variety of mathematical approaches. This review points out the prospects for mathematical\\u000a neuroscience: in addition to computational approaches, there is a wide variety of

Gin Mccollum

2003-01-01

495

Mathematical Modeling in Science  

NSDL National Science Digital Library

Creating mathematical models using spreadsheets can help high school students learn at deep levels in both science and mathematics, and give teachers an excellent opportunity to integrate these two disciplines. The project described in this article involves a melding of mathematical and scientific processes. The two scientific concepts explored involve physics, specifically Hooke's law and Newton's laws of heating and cooling, though the modeling described can be used in many places in the science curriculum.

Horton, Robert M.; Leonard, William H.

2005-07-01

496

Working knowledge  

Microsoft Academic Search

This article examines the nature of the knowledge needed for work and its relationship with knowledge that ‘works’ in securing other goals. It suggests that individual, societal and industrial challenges are interwoven, and that individuals should not have to segment knowledge used for different productive and generative activities. Greater connectedness is needed for individuals to construct meaning in achieving various

John Stevenson

2000-01-01

497

Parents' reading-related knowledge and children's reading acquisition.  

PubMed

Teacher reading-related knowledge (phonological awareness and phonics knowledge) predicts student reading, however little is known about the reading-related knowledge of parents. Participants comprised 70 dyads (children from kindergarten and grade 1 and their parents). Parents were administered a questionnaire tapping into reading-related knowledge, print exposure, storybook reading, and general cultural knowledge. Children were tested on measures of letter-word knowledge, sound awareness, receptive vocabulary, oral expression, and mathematical skill. Parent reading-related knowledge showed significant positive links with child letter-word knowledge and sound awareness, but showed no correlations with child measures of mathematical skill or vocabulary. Furthermore, parent reading-related knowledge was not associated with parents' own print exposure or cultural knowledge, indicating that knowledge about English word structure may be separate from other cognitive skills. Implications are discussed in terms of improving parent reading-related knowledge to promote child literacy. PMID:21678121

Ladd, Megan; Martin-Chang, Sandra; Levesque, Kyle

2011-06-16

498

Mathematical Challenges from Theoretical/Computational Chemistry.  

National Technical Information Service (NTIS)

Computational methods are rapidly becoming major tools of theoretical, pharmaceutical, materials, and biological chemists. Accordingly, the mathematical models and numerical analysis that underlie these methods have an increasingly important and direct ro...

1995-01-01

499

Mathematical Thinking of Young Children Through the Eyes of Preschool Practitioners  

Microsoft Academic Search

This paper reports on interview responses to 3 questions seeking preschool practitioners' perceptions of mathematical thinking in very young children. Generally, the interviewees were found to have a good sense of mathematical concepts relevant to babies and toddlers, and they cited evidence of young children's mathematical development. It is concluded that this practical knowledge provides a strong foundation for further

Robert Hunting; Catherine Pearn

500

Empowering Learning with Rich Mathematical Experience: Reflections on a Primary Lesson on Area and Perimeter  

ERIC Educational Resources Information Center

In this paper, a Hong Kong primary school lesson on area and perimeter is analysed with a perspective to discuss the meaning for students to have rich mathematical experiences and how pre-designed pedagogical tools could enrich mathematics classroom learning environment which promote re-shaping, shaping and even creation of mathematical knowledge.…

Leung, Allen

2010-01-01