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

ERIC Educational Resources Information Center

Khakbaz, Azimehsadat

2016-01-01

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

Behavioural Intention and Pre-Service Mathematics Teachers' Technological Pedagogical Content Knowledge

ERIC Educational Resources Information Center

Gonzalez, Maria Jose; González-Ruiz, Ignacio

2017-01-01

Teachers' beliefs, together with sound technological pedagogical content knowledge (TPACK), are directly related to the effective integration of technology in mathematics teaching. This study explored the relationship between pre-service teachers' behavioural intention to use technology to teach mathematics and their TPACK. A case-study analysis…

The Effect of an Integrated Science and Mathematics Content-Based Course on Science and Mathematics Teaching Efficacy of Preservice Elementary Teachers

ERIC Educational Resources Information Center

Moseley, Christine; Utley, Juliana

2006-01-01

The purpose of this study was to determine the effect of an earth systems science course (integrated mathematics and science content) on preservice elementary teachers' mathematics and science teaching efficacy. Paired t-tests revealed that the personal mathematics and science teaching efficacy and science teaching outcome expectancy significantly…

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

ERIC Educational Resources Information Center

Brese, Falk, Ed.

2012-01-01

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

Examination of Mathematics Teachers' Pedagogical Content Knowledge of Probability

ERIC Educational Resources Information Center

Danisman, Sahin; Tanisli, Dilek

2017-01-01

The aim of this study is to explore the probability-related pedagogical content knowledge (PCK) of secondary school mathematics teachers in terms of content knowledge, curriculum knowledge, student knowledge, and knowledge of teaching methods and strategies. Case study design, a qualitative research model, was used in the study, and the…

An Examination of the Questioning Interactions of Prospective Teachers during Mathematical Discussions

ERIC Educational Resources Information Center

Darke, Kelly Marie

2010-01-01

Questioning is an essential and generative studying practice for prospective teachers (PTs) as they develop their mathematical content knowledge needed for teaching. This study examines PTs' questioning interactions by describing the types of questions they ask during small group discussions in a required mathematics content course and how their…

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

ERIC Educational Resources Information Center

Gullie, Kathy A.

2011-01-01

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

An instrument measuring prospective mathematics teacher self-regulated learning: validity and reliability

NASA Astrophysics Data System (ADS)

Nugroho, A. A.; Juniati, D.; Siswono, T. Y. E.

2018-03-01

Self Regulated Learning (SRL) is an individual's ability to achieve academic goals by controlling behavior, motivate yourself and use cognitive in learning, so it is important for a teacher especially teachers of mathematics related to the ability of management, design, implementation of learning and evaluation of learning outcomes. The purpose of the research is to develop an instrument to describe the SRL of a prospective mathematics teacher. Data were collected by (1) the study of the theory of SRL produced the indicator SRL used to design the questionnaire SRL; (2) analysis of the questionnaire SRL obtained from several References; and (3) development stage of the SRL questionnaire through validity test of content and empirical validation. The study involved 2 content experts in mathematics, 1 linguist, and 92 prospective mathematics teachers. The results of the research on content validity test based on Indonesian expert and 2 content experts indicate that the content can assess the indicator of the SRL and feasible to be used, in the test of legibility of two prospective mathematics teacher concluded that the instrument has a language that can be understood by the prospective teacher of mathematics and on empirical validation involving 92 prospective mathematics teacher generate data that of 65 statements there are 3 invalid statements. Reliability calculation shows high category that values 0,93. The conclusion is the SRL instrument developed for the prospective mathematics teacher.

Separating Cognitive and Content Domains in Mathematical Competence

ERIC Educational Resources Information Center

Harks, Birgit; Klieme, Eckhard; Hartig, Johannes; Leiss, Dominik

2014-01-01

The present study investigates the empirical separability of mathematical (a) content domains, (b) cognitive domains, and (c) content-specific cognitive domains. There were 122 items representing two content domains (linear equations vs. theorem of Pythagoras) combined with two cognitive domains (modeling competence vs. technical competence)…

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

ERIC Educational Resources Information Center

Evans, Brian R.

2011-01-01

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

Elementary Teachers' Mathematical Knowledge for Teaching Prerequisite Algebra Concepts

ERIC Educational Resources Information Center

Welder, Rachael M.; Simonsen, Linda M.

2011-01-01

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

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

ERIC Educational Resources Information Center

Sahin, Ömer; Gökkurt, Burçin; Soylu, Yasin

2016-01-01

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

Measuring and factors influencing mathematics teachers' technological pedagogical and content knowledge (TPACK) in three southernmost provinces, Thailand

NASA Astrophysics Data System (ADS)

Adulyasas, Lilla

2017-08-01

Technology becomes an important role in teaching and learning mathematics nowadays. Integrating technology in the classroom helps students have better understanding in many of mathematics concepts. One of the major framework for assessing the knowledge of integrating technology with the pedagogy and content in the classroom is Technological Pedagogical and Content Knowledge (TPACK) framework. This study aimed to measure mathematics teachers' TPACK in three southernmost provinces, Thailand and to study on factors influencing their TPACK. A quantitative study was carried out with 210 secondary level mathematics teachers in the three southernmost provinces, Thailand which were random by two stage sampling technique. Data were collected by using a questionnaire to identify the level of mathematics teachers' TPACK and the factors influencing their TPACK. Descriptive statistics, Pearson product moment correlation and multiple regression analysis were used for analysing data. Findings reveal that the mean score of mathematics teachers' TPACK is 3.33 which is in the medium level and the three factors which have positive correlation at .05 level of significant with the level of TPACK are teaching experience factor, individual specialization factor and personal & organization factor. However, there are only two factors influencing mathematics teachers' TPACK. The two factors are individual specialization factor and personal & organization factors. These give better understanding on mathematics teachers' knowledge in integrating technology with the pedagogy and content which will be the important information for improving mathematics teachers' TPACK.

Mathematics Education Research in Turkey: A Content Analysis Study

ERIC Educational Resources Information Center

Ciltas, Alper; Guler, Gursel; Sozbilir, Mustafa

2012-01-01

In this study, a content analysis of research is aimed in the field of mathematics education of Turkish researchers. To this aim, the investigation of 359 article were made which were accessed from web in full text between 1987 and 2009 years and which were published in the field of mathematics education from 32 different journals. 27 of these…

Comparing the Major Definitions of Mathematics Pedagogical Content Knowledge

ERIC Educational Resources Information Center

Johnson, Jeffrey

2017-01-01

The purpose of this research was to compare two definitions and assessments of Mathematics Pedagogical Content Knowledge (PCK). As part of a larger study, nine current and future teachers took an online version of the Measures of Knowledge for Teaching (MKT)--Mathematics assessment and the Cognitively Activating Instruction in Mathematics…

Opportunities to Promote Mathematical Content Knowledge for Primary Teaching

ERIC Educational Resources Information Center

Livy, Sharyn; Herbert, Sandra

2014-01-01

Understanding the development of pre-service teachers' mathematical content knowledge (MCK) is important for improving primary mathematics' teacher education. This paper reports on a case study, Rose and her opportunities to develop MCK during the four years of her program. Program opportunities to promote MCK when planning and practicing primary…

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

ERIC Educational Resources Information Center

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

2014-01-01

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

Alignment Content Analysis of TIMSS and PISA Mathematics and Science Assessments Using the Surveys of Enacted Curriculum Methodology

ERIC Educational Resources Information Center

Council of Chief State School Officers, 2009

2009-01-01

In Fall 2008, the Council of Chief State School Officers (CCSSO) conducted an alignment content analysis of the 2007 TIMSS Mathematics and Science education assessments for students at grades 4 and 8 and the 2006 PISA Mathematics and Science Literacy assessments for students at age 15 (i.e., TIMSS--Trends in Mathematics and Science Study,…

Thinking and Content Learning of Mathematics and Science as Cognitional Development in Content and Language Integrated Learning (CLIL): Teaching Through a Foreign Language in Finland

ERIC Educational Resources Information Center

Jappinen, Aini-Kristiina

2005-01-01

This paper presents a study on thinking and learning processes of mathematics and science in teaching through a foreign language, in Finland. The entity of thinking and content learning processes is, in this study, considered as cognitional development. Teaching through a foreign language is here called Content and Language Integrated Learning or…

A Case Study of Teachers' Development of Well-Structured Mathematical Modelling Activities

ERIC Educational Resources Information Center

Stohlmann, Micah; Maiorca, Cathrine; Allen, Charlie

2017-01-01

This case study investigated how three teachers developed mathematical modelling activities integrated with content standards through participation in a course on mathematical modelling. The class activities involved experiencing a mathematical modelling activity, reading and rating example mathematical modelling activities, reading articles about…

Investigating the Effects of a Math-Enhanced Agricultural Teaching Methods Course

ERIC Educational Resources Information Center

Stripling, Christopher T.; Roberts, T. Grady

2013-01-01

Numerous calls have been made for agricultural education to support core academic subject matter including mathematics. Previous research has shown that the incorporation of mathematics content into a teaching methods course had a positive effect on preservice teachers' mathematics content knowledge. The purpose of this study was to investigate…

A Study of Mathematics Infusion in Middle School Technology Education Classes

ERIC Educational Resources Information Center

Burghardt, M. David; Hecht, Deborah; Russo, Maria; Lauckhardt, James; Hacker, Michael

2010-01-01

The present study examined the impact of introducing a mathematics infused engineering/technology education (ETE) curriculum on students' mathematics content knowledge and attitudes toward mathematics. The purpose of the present study was to: (a) compare the effects of a mathematics infused ETE curriculum and a control curriculum on student…

Content Analysis of Jordanian Elementary Textbooks during 1970-2013 as Case Study

ERIC Educational Resources Information Center

Abed, Eman Rasmi; Al-Absi, Mohammad Mustafa

2015-01-01

This study aims to determine types of mathematic disciplines (in term of topics) in Jordanian Elementary textbooks. This study evaluates mathematics text books especially in the period between 1970 and 2013 and identifies types and quantities of mathematics. To examine the relative quantity of mathematics, branches of mathematics, presentation…

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

ERIC Educational Resources Information Center

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

2015-01-01

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

Adapting Technological Pedagogical Content Knowledge Framework to Teach Mathematics

ERIC Educational Resources Information Center

Getenet, Seyum Tekeher

2017-01-01

The technological pedagogical content knowledge framework is increasingly in use by educational technology researcher as a generic description of the knowledge requirements for teachers using technology in all subjects. This study describes the development of a mathematics specific variety of the technological pedagogical content knowledge…

Examining Mathematical Task and Pedagogical Usability of Web Contents Authored by Prospective Mathematics Teachers

ERIC Educational Resources Information Center

Akayuure, Peter; Apawu, Jones

2015-01-01

The study was designed to engage prospective mathematics teachers in creating web learning modules. The aim was to examine the mathematical task and perceived pedagogical usability of the modules for mathematics instructions in Ghana. The study took place at University of Education, Winneba. Classes of 172 prospective mathematics teachers working…

Statistical Content in Middle Grades Mathematics Textbooks

ERIC Educational Resources Information Center

Pickle, Maria Consuelo Capiral

2012-01-01

This study analyzed the treatment and scope of statistical concepts in four, widely-used, contemporary, middle grades mathematics textbook series: "Glencoe Math Connects," "Prentice Hall Mathematics," "Connected Mathematics Project," and "University of Chicago School Mathematics Project." There were three…

Integrating Social Justice with Mathematics and Science: An Analysis of Student Teacher Lessons

ERIC Educational Resources Information Center

Garii, Barbara; Rule, Audrey C.

2009-01-01

Student teachers have difficulty planning lessons that fully integrate social justice with mathematics/science content. This study was a content analysis of 26 poster presentations of mathematics or science lessons incorporating social justice issues made by student teachers (20F, 6M) at a mid-sized college in central New York State. The presented…

Assessing Strengths and Weaknesses of Teacher Knowledge in Asia, Eastern Europe, and Western Countries: Differential Item Functioning in TEDS-M

ERIC Educational Resources Information Center

Blömeke, Sigrid; Suhl, Ute; Döhrmann, Martina

2013-01-01

The "Teacher Education and Development Study in Mathematics" assessed the knowledge of primary and lower-secondary teachers at the end of their training. The large-scale assessment represented the common denominator of what constitutes mathematics content knowledge and mathematics pedagogical content knowledge in the 16 participating…

Exploring Wind Power: Improving Mathematical Thinking through Digital Fabrication

ERIC Educational Resources Information Center

Tillman, Daniel A.; An, Song A.; Cohen, Jonathan D.; Kjellstrom, William; Boren, Rachel L.

2014-01-01

This mixed methods study examined the impacts of digital fabrication activities that were integrated into contextualized mathematics education. The study investigated the students' mathematics content knowledge and attitudes. Data analysis yielded two key findings regarding our intervention combined with the other mathematics activities resulted…

Content Integration as a Factor in Math-Game Effectiveness

ERIC Educational Resources Information Center

Vandercruysse, Sylke; ter Vrugte, Judith; de Jong, Ton; Wouters, Pieter; van Oostendorp, Herre; Verschaffel, Lieven; Elen, Jan

2017-01-01

In this study we focus on the integration of mathematical learning content (i.e., proportional reasoning) in game-based learning environments (GBLE). More specifically, two kinds of GBLEs are set up: an extrinsically integrated GBLE and an intrinsically integrated GBLE. In the former environment, the mathematical content is not part of the core…

On the Content-Dependence of Prospective Teachers' Knowledge: A Case of Exemplifying Definitions

ERIC Educational Resources Information Center

Leikin, Roza; Zazkis, Rina

2010-01-01

In this article, we demonstrate that prospective teachers' content knowledge related to defining mathematical concepts is dependent on content area. We use the example of generation (a research tool we developed in a previous study) to investigate prospective teachers' knowledge. We asked prospective secondary mathematics teachers to provide…

Attending to Precision: Vocabulary Support in Middle School Mathematics Classrooms

ERIC Educational Resources Information Center

Livers, Stefanie D.; Elmore, Patricia

2018-01-01

Mastery of language is critical to the mastery of content in middle school content area classrooms. In order to comprehend the disciplinary-specific texts that they encounter in their social studies, language arts, science, and mathematics classrooms, students must be literate in the content area vocabulary that is specific to those disciplines.…

Examination of Lower Secondary Mathematics Teachers' Content Knowledge and Its Connection to Students' Performance

ERIC Educational Resources Information Center

Tchoshanov, Mourat; Cruz, Maria D.; Huereca, Karla; Shakirova, Kadriya; Shakirova, Liliana; Ibragimova, Elena N.

2017-01-01

This mixed methods study examined an association between cognitive types of teachers' mathematical content knowledge and students' performance in lower secondary schools (grades 5 through 9). Teachers (N = 90) completed the Teacher Content Knowledge Survey (TCKS), which consisted of items measuring different cognitive types of teacher knowledge.…

Improving Instructional Leadership through the Development of Leadership Content Knowledge: The Case of Principal Learning in Algebra

ERIC Educational Resources Information Center

Steele, Michael D.; Johnson, Kate R.; Otten, Samuel; Herbel-Eisenmann, Beth A.; Carver, Cynthia L.

2015-01-01

Instructional leadership is integral to improving mathematics teaching in secondary schools. However, administrators often lack sufficient content knowledge in mathematics to be effective in this role. This study examined the impact of professional development focused on developing leadership content knowledge in algebra. Data included written…

Quality Assurance in Teacher Education and Outcomes: A Study of 17 Countries

ERIC Educational Resources Information Center

Ingvarson, Lawrence; Rowley, Glenn

2017-01-01

This study investigated the relationship between policies related to the recruitment, selection, preparation, and certification of new teachers and (a) the quality of future teachers as measured by their mathematics content and pedagogy content knowledge and (b) student achievement in mathematics at the national level. The study used data…

Connecting Biology and Mathematics: First Prepare the Teachers

PubMed Central

2010-01-01

Developing the connection between biology and mathematics is one of the most important ways to shift the paradigms of both established science disciplines. However, adding some mathematic content to biology or biology content to mathematics is not enough but must be accompanied by development of suitable pedagogical models. I propose a model of pedagogical mathematical biological content knowledge as a feasible starting point for connecting biology and mathematics in schools and universities. The process of connecting these disciplines should start as early as possible in the educational process, in order to produce prepared minds that will be able to combine both disciplines at graduate and postgraduate levels of study. Because teachers are a crucial factor in introducing innovations in education, the first step toward such a goal should be the education of prospective and practicing elementary and secondary school teachers. PMID:20810951

Minimalism as a Guiding Principle: Linking Mathematical Learning to Everyday Knowledge

ERIC Educational Resources Information Center

Inoue, Noriyuki

2008-01-01

Studies report that students often fail to consider familiar aspects of reality in solving mathematical word problems. This study explored how different features of mathematical problems influence the way that undergraduate students employ realistic considerations in mathematical problem solving. Incorporating familiar contents in the word…

What We Do: A Multiple Case Study from Mathematics Coaches' Perspectives

ERIC Educational Resources Information Center

Kane, Barbara Ann

2013-01-01

Teachers face new challenges when they teach a more rigorous mathematics curriculum than one to which they are accustomed. The rationale for this particular study originated from watching teachers struggle with understanding mathematical content and pedagogical practices. Mathematics coaches can address teachers' concerns through sustained,…

Measuring Mathematics Teacher Educators' Knowledge of Technology Integrated Teaching: Instrument Development

ERIC Educational Resources Information Center

Getenet, Seyum Tekeher; Beswick, Kim

2013-01-01

This study describes the construction of a questionnaire instrument to measure mathematics teacher educators' knowledge for technology integrated mathematics teaching. The study was founded on a reconceptualisation of the generic Technological Pedagogical Content Knowledge framework in the specific context of mathematics teaching. Steps in the…

Does an Observer's Content Knowledge Influence the Feedback Offered about Mathematics Lessons?

ERIC Educational Resources Information Center

Peck, Duane C.

2016-01-01

The purpose of this study was two-fold. First, feedback from 3 different groups of observers: math content specialists, content specialists in areas other than mathematics, and building principals, was analyzed using an inductive approach to identify themes within the feedback. Second, differences in the feedback offered by participants of the 3…

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

ERIC Educational Resources Information Center

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

2013-01-01

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

Implementation of Pedagogical Content Knowledge (PCK) of Mathematics Teachers in Teaching Practice: A Case Study

ERIC Educational Resources Information Center

Maryono; Sutawidjaja, Akbar; Subanji; Irawati, Santi

2017-01-01

This study aims to describe the implementation of pedagogical content knowledge (PCK) of mathematics teachers in the teaching practice of the material system of linear equations of two variables (SLETV). The approach used is a qualitative case study. The main instrument is the researchers themselves and the supporting instruments is a vignette…

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

ERIC Educational Resources Information Center

Meng, Chew Cheng; Sam, Lim Chap

2013-01-01

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

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

ERIC Educational Resources Information Center

Polly, Drew

2014-01-01

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

An Exploration of the Relevance of the Pedagogy and Academic Content Knowledge That Are Offered to Prospective Science and Mathematics Teachers in Tanzania Teachers' Colleges

ERIC Educational Resources Information Center

Mungure, Daudi Mika

2016-01-01

This paper explored the Relevance of the Pedagogy and Academic Content Knowledge that are offered to Prospective Science and Mathematics Teachers in Tanzania Teachers' colleges. Morogoro Teachers' College and Kleruu Teachers' college were used as a case study. The performance in science and mathematics subjects in form four National examinations…

Developing Fair Tests for Mathematics Curriculum Comparison Studies: The Role of Content Analyses

ERIC Educational Resources Information Center

Chavez, Oscar; Papick, Ira; Ross, Daniel J.; Grouws, Douglas A.

2011-01-01

This article describes the process of development of assessment instruments for a three-year longitudinal comparative study that focused on evaluating American high school students' mathematics learning from two distinct approaches to content organization: curriculum built around a sequence of three full-year courses (Algebra 1, Geometry, and…

Third-Year High School Mathematics Curriculum: Effects of Content Organization and Curriculum Implementation

ERIC Educational Resources Information Center

Chávez, Óscar; Tarr, James E.; Grouws, Douglas A.; Soria, Victor M.

2015-01-01

We examined the effect of curriculum organization in US high schools where students could freely choose to study mathematics from textbooks that employed one of two types of content organization, an "integrated" approach or a (traditional) "subject-specific" approach. The study involved 2,242 high school students, enrolled in…

A Content Analysis Study about the Usage of History of Mathematics in Textbooks in Turkey

ERIC Educational Resources Information Center

Eren, Mehmet; Bulut, Mehmet; Bulut, Neslihan

2015-01-01

The present study aimed to investigate how history of mathematics was integrated to some mathematics textbooks in Turkey. On this account, four different textbooks with different grade levels were chosen. In total, 42 cases were detected and studied by three researchers. Results indicated that the usage of history of mathematics was materialized…

Mathematics Coaching in High School: The Impact of Coach and Teacher Interactions

ERIC Educational Resources Information Center

Pusey, Eleanor Louise

2013-01-01

This dissertation study examined a high school mathematics coach in the context of a three-year project called MAST (Mathematics Achievement Success Today) that provided summer content courses, lesson study, and mathematics coaching for high school teachers. This study focused in particular on the work of the MAST project coach as she interacted…

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

ERIC Educational Resources Information Center

Qian, Hong; Youngs, Peter

2016-01-01

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

Four Factors to Consider in Helping Low Achievers in Mathematics

ERIC Educational Resources Information Center

Leong, Yew Hoong; Yap, Sook Fwe; Tay, Eng Guan

2013-01-01

In this paper, we propose and describe in some detail a framework for helping low achievers in mathematics that attends to the following areas: Mathematical content resources, Problem Solving disposition, Feelings towards the learning of mathematics, and Study habits.

Communicational Perspectives on Learning and Teaching Mathematics: Prologue

ERIC Educational Resources Information Center

Tabach, Michal; Nachlieli, Talli

2016-01-01

This special issue comprises five studies which vary in their focus and mathematical content, yet they all share an underlying communicational theoretical framework--commognition. Within this framework, learning mathematics is defined as a change in one's mathematical discourse, that is, in the form of communication known as mathematical. Teaching…

Mathematics Content Coverage and Student Learning in Kindergarten

PubMed Central

Engel, Mimi; Claessens, Amy; Watts, Tyler; Farkas, George

2017-01-01

Analyzing data from two nationally representative kindergarten cohorts, we examine the mathematics content teachers cover in kindergarten. We expand upon prior research, finding that kindergarten teachers report emphasizing basic mathematics content. Although teachers reported increased coverage of advanced content between the 1998–99 and 2010–11 school years, they continued to place more emphasis on basic content. We find that time on advanced content is positively associated with student learning, whereas time on basic content has a negative association with learning. We argue that increased exposure to more advanced mathematics content could benefit the vast majority of kindergartners. PMID:29353913

Focusing on Interactions between Content and Cognition: A New Perspective on Gender Differences in Mathematical Sub-Competencies

ERIC Educational Resources Information Center

George, Ann Cathrice; Robitzsch, Alexander

2018-01-01

This article presents a new perspective on measuring gender differences in the large-scale assessment study Trends in International Science Study (TIMSS). The suggested empirical model is directly based on the theoretical competence model of the domain mathematics and thus includes the interaction between content and cognitive sub-competencies.…

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

ERIC Educational Resources Information Center

Agyei, Douglas D.; Voogt, Joke

2012-01-01

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

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

ERIC Educational Resources Information Center

Stoilescu, Dorian

2015-01-01

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

Teacher Self-Efficacy, Content and Pedagogical Knowledge, and Their Relationship to Student Achievement in Algebra I

ERIC Educational Resources Information Center

Fox, Antonia M.

2014-01-01

The purpose of this quantitative study was to explore the relationship between teacher self-efficacy beliefs and the level of student achievement their students obtain as evidenced by the Algebra I Virginia Standards of Learning (SOL) assessment. This study also explored teachers' mathematics content knowledge, mathematics pedagogical knowledge,…

The Mathematical Content Knowledge of Prospective Teachers in Iceland

ERIC Educational Resources Information Center

Johannsdottir, Bjorg

2013-01-01

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

Boundary crossing and brokering between disciplines in pre-service mathematics teacher education

NASA Astrophysics Data System (ADS)

Goos, Merrilyn; Bennison, Anne

2017-12-01

In many countries, pre-service teacher education programs are structured so that mathematics content is taught in the university's mathematics department and mathematics pedagogy in the education department. Such program structures make it difficult to authentically interweave content with pedagogy in ways that acknowledge the roles of both mathematicians and mathematics educators in preparing future teachers. This article reports on a project that deliberately fostered collaboration between mathematicians and mathematics educators in six Australian universities in order to investigate the potential for learning at the boundaries between the two disciplinary communities. Data sources included two rounds of interviews with mathematicians and mathematics educators and annual reports prepared by each participating university over the three years of the project. The study identified interdisciplinary boundary practices that led to integration of content and pedagogy through new courses co-developed and co-taught by mathematicians and mathematics educators, and new approaches to building communities of pre-service teachers. It also developed an evidence-based classification of conditions that enable or hinder sustained collaboration across disciplinary boundaries, together with an empirical grounding for Akkerman and Bakker's conceptualisation of transformation as a mechanism for learning at the boundary between communities. The study additionally highlighted the ambiguous nature of boundaries and implications for brokers who work there to connect disciplinary paradigms.

Mathematics teachers' support and retention: using Maslow's hierarchy to understand teachers' needs

NASA Astrophysics Data System (ADS)

Fisher, Molly H.; Royster, David

2016-10-01

As part of a larger study, four mathematics teachers from diverse backgrounds and teaching situations report their ideas on teacher stress, mathematics teacher retention, and their feelings about the needs of mathematics teachers, as well as other information crucial to retaining quality teachers. The responses from the participants were used to develop a hierarchy of teachers' needs that resembles Maslow's hierarchy, which can be used to better support teachers in various stages of their careers. The interviews revealed both non content-specific and content-specific needs within the hierarchy. The responses show that teachers found different schools foster different stress levels and that as teachers they used a number of resources for reducing stress. Other mathematics-specific ideas are also discussed such as the amount of content and pedagogy courses required for certification.

Discrete Mathematics and the Secondary Mathematics Curriculum.

ERIC Educational Resources Information Center

Dossey, John

Discrete mathematics, the mathematics of decision making for finite settings, is a topic of great interest in mathematics education at all levels. Attention is being focused on resolving the diversity of opinion concerning the exact nature of the subject, what content the curriculum should contain, who should study that material, and how that…

Conceptualizing and Measuring Fidelity of Implementation of Secondary Mathematics Textbooks: Results of a Three-Year Study

ERIC Educational Resources Information Center

McNaught, Melissa D.; Tarr, James E.; Sears, Ruthmae

2010-01-01

The purpose of this study was to examine the extent and manner in which teachers use mathematics textbooks in their daily teaching. Specific attention was given to textbook implementation differences related to two types of mathematics textbooks where the mathematical content is organized differently. Only schools where a dual curricular option…

Effects of Teacher Preparation Courses: Do Graduates Use What They Learned to Plan Mathematics Lessons?

ERIC Educational Resources Information Center

Morris, Anne K.; Hiebert, James

2017-01-01

We investigated whether the content pre-service teachers studied in elementary teacher preparation mathematics courses was related to their performance on a mathematics lesson planning task 2 and 3 years after graduation. The relevant mathematics knowledge was studied when the teachers were freshmen, 5 to 6 years earlier. Results showed that when…

An Integrated Approach to Mathematical Modeling: A Classroom Study.

ERIC Educational Resources Information Center

Doerr, Helen M.

Modeling, simulation, and discrete mathematics have all been identified by professional mathematics education organizations as important areas for secondary school study. This classroom study focused on the components and tools for modeling and how students use these tools to construct their understanding of contextual problems in the content area…

Secondary School Mathematics Curriculum Improvement Study Information Bulletin 7.

ERIC Educational Resources Information Center

Secondary School Mathematics Curriculum Improvement Study, New York, NY.

The background, objectives, and design of Secondary School Mathematics Curriculum Improvement Study (SSMCIS) are summarized. Details are given of the content of the text series, "Unified Modern Mathematics," in the areas of algebra, geometry, linear algebra, probability and statistics, analysis (calculus), logic, and computer…

South Dakota Middle School Mathematics Teachers' Perceptions of Teaching Competencies

ERIC Educational Resources Information Center

Bleecker, Heather A.

2017-01-01

This quantitative research study investigates South Dakota middle school (grades 5-8) mathematics teachers' perceptions of teaching competencies including general pedagogical knowledge (GPK) and mathematical pedagogical content knowledge (MPCK). The study also considered how teacher characteristics relate to teacher competencies. The study…

Advancing K-8 Teachers' STEM Education for Teaching Interdisciplinary Science and Mathematics with Technologies

ERIC Educational Resources Information Center

Niess, Margaret; Gillow-Wiles, Henry

2013-01-01

This primarily online Master's degree program focused on advancing K-8 teachers' interdisciplinary mathematical and science content knowledge while integrating appropriate digital technologies as learning and teaching tools. The mixed-method, interpretive study examined in-service teachers' technological, pedagogical, and content knowledge (TPACK)…

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

ERIC Educational Resources Information Center

Ozmantar, Mehmet Fatih

2011-01-01

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

The Role of Mathematical Knowledge in Children's Understanding of Geographical Concepts.

ERIC Educational Resources Information Center

Kaplan, Rochelle G.

This study examines the relationship between children's procedural and conceptual understanding of mathematics and their accuracy in reporting and interpreting geography text material containing mathematical information. It was hypothesized that (1) children's misconceptions or lack of experience with particular mathematical content areas would be…

Prospective Primary Teachers' Beliefs about Mathematics

ERIC Educational Resources Information Center

Maasepp, Brooke; Bobis, Janette

2015-01-01

Concerns about the negative mathematical beliefs of prospective primary teachers have arisen from evidence that such beliefs detrimentally impact future teaching practices. The aim of this study was to explore factors contributing to the effectiveness of a mathematics content-focused intervention designed to nurture positive mathematical beliefs.…

Mathematics Content Coverage and Student Learning in Kindergarten

ERIC Educational Resources Information Center

Engel, Mimi; Claessens, Amy; Watts, Tyler; Farkas, George

2016-01-01

Analyzing data from two nationally representative kindergarten cohorts, we examine the mathematics content teachers cover in kindergarten. We expand upon prior research, finding that kindergarten teachers report emphasizing basic mathematics content. Although teachers reported increased coverage of advanced content between the 1998-1999 and…

Applying NAEP to Improve Mathematics Content and Methods Courses for Preservice Elementary and Middle School Teachers

ERIC Educational Resources Information Center

Goodson-Espy, Tracy; Cifarelli, Victor V.; Pugalee, David; Lynch-Davis, Kathleen; Morge, Shelby; Salinas, Tracie

2014-01-01

This study explored how mathematics content and methods courses for preservice elementary and middle school teachers could be improved through the integration of a set of instructional materials based on the National Assessment of Educational Progress (NAEP). A set of eight instructional modules was developed and tested. The study involved 7…

2012 Preschool Pilot Study of PBS KIDS Transmedia Mathematics Content: A Report to the CPB-PBS "Ready to Learn Initiative"

ERIC Educational Resources Information Center

Pasnik, Shelley; Llorente, Carlin

2012-01-01

The 2012 Preschool Pilot Study of PBS KIDS Transmedia Mathematics Content (Preschool Pilot) is an important part of the authors' multiyear "Ready To Learn" (RTL) summative evaluation initiative. Through this initiative funded by the Corporation for Public Broadcasting (CPB) and Public Broadcasting Service (PBS), it was the responsibility…

Secondary Teachers’ Mathematics-related Beliefs and Knowledge about Mathematical Problem-solving

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E Siswono, T. Y.; Kohar, A. W.; Hartono, S.

2017-02-01

This study investigates secondary teachers’ belief about the three mathematics-related beliefs, i.e. nature of mathematics, teaching mathematics, learning mathematics, and knowledge about mathematical problem solving. Data were gathered through a set of task-based semi-structured interviews of three selected teachers with different philosophical views of teaching mathematics, i.e. instrumental, platonist, and problem solving. Those teachers were selected from an interview using a belief-related task from purposively selected teachers in Surabaya and Sidoarjo. While the interviews about knowledge examine teachers’ problem solving content and pedagogical knowledge, the interviews about beliefs examine their views on several cases extracted from each of such mathematics-related beliefs. Analysis included the categorization and comparison on each of beliefs and knowledge as well as their interaction. Results indicate that all the teachers did not show a high consistency in responding views of their mathematics-related beliefs, while they showed weaknesses primarily on problem solving content knowledge. Findings also point out that teachers’ beliefs have a strong relationship with teachers’ knowledge about problem solving. In particular, the instrumental teacher’s beliefs were consistent with his insufficient knowledge about problem-solving, while both platonist and problem-solving teacher’s beliefs were consistent with their sufficient knowledge of either content or pedagogical problem solving.

Examining Change in K-3 Teachers' Mathematical Knowledge, Attitudes, and Beliefs: The Case of Primarily Math

ERIC Educational Resources Information Center

Kutaka, T. S.; Ren, L.; Smith, W. M.; Beattie, H. L.; Edwards, C. P.; Green, J. L.; Chernyavskiy, P.; Stroup, W.; Heaton, R. M.; Lewis, W. J.

2018-01-01

This study examines the impact of the Primarily Math Elementary Mathematics Specialist program on K-3 teachers' mathematical content knowledge for teaching, attitudes toward learning mathematics, and beliefs about mathematics teaching and learning. Three cohorts of teachers participating in the program were compared to a similar group of…

A Contemporary Analysis of the Content of Mathematics for Liberal Education at the College Level

ERIC Educational Resources Information Center

Sporn, Howard Bruce

2010-01-01

The purpose of this study is to determine whether educators believe mathematics should be taught to liberal arts students, what topics are taught in liberal arts mathematics courses, and what the motivation is for teaching such topics. The study consists of two parts, a review of the opinions of educators regarding liberal arts mathematics, and a…

Second-Graders' Mathematical Practices for Solving Fraction Tasks

ERIC Educational Resources Information Center

Moyer-Packenham, Patricia S.; Bolyard, Johnna J.; Tucker, Stephen I.

2014-01-01

Recently, over 40 states in the United States adopted the Common Core State Standards for Mathematics (CCSSM) which include standards for content and eight standards for mathematical practices. The purpose of this study was to better understand the nature of young children's mathematical practices through an exploratory examination of the…

Kindergarten Children's Interactions with Touchscreen Mathematics Virtual Manipulatives: An Innovative Mixed Methods Analysis

ERIC Educational Resources Information Center

Tucker, Stephen I.; Lommatsch, Christina W.; Moyer-Packenham, Patricia S.; Anderson-Pence, Katie L.; Symanzik, Jürgen

2017-01-01

The purpose of this study was to examine patterns of mathematical practices evident during children's interactions with touchscreen mathematics virtual manipulatives. Researchers analyzed 33 Kindergarten children's interactions during activities involving apps featuring mathematical content of early number sense or quantity in base ten, recorded…

Mathematical Language Skills of Mathematics Prospective Teachers

ERIC Educational Resources Information Center

Gürefe, Nejla

2018-01-01

Effective mathematics teaching can be actualized only with correct use of the mathematical content language which comprises mathematical rules, concepts, symbols and terms. In this research, it was aimed to examine the mathematics prospective teachers' content language skills in some basic geometric concepts which are ray, angle, polygon,…

An investigation of mathematics and science instruction in English and Spanish for English language learners

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Rodriguez-Esquivel, Marina

The contextual demands of language in content area are difficult for ELLS. Content in the native language furthers students' academic development and native language skills, while they are learning English. Content in English integrates pedagogical strategies for English acquisition with subject area instruction. The following models of curriculum content are provided in most Miami Dade County Public Schools: (a) mathematics instruction in the native language with science instruction in English or (b) science instruction in the native language with mathematics instruction in English. The purpose of this study was to investigate which model of instruction is more contextually supportive for mathematics and science achievement. A pretest and posttest, nonequivalent group design was used with 94 fifth grade ELLs who received instruction in curriculum model (a) or (b). This allowed for statistical analysis that detected a difference in the means of .5 standard deviations with a power of .80 at the .05 level of significance. Pretreatment and post-treatment assessments of mathematics, reading, and science achievement were obtained through the administration of Aprenda-Segunda Edicion and the Florida Comprehensive Achievement Test. The results indicated that students receiving mathematics in English and Science in Spanish scored higher on achievement tests in both Mathematics and Science than the students who received Mathematics in Spanish and Science in English. In addition, the mean score of students on the FCAT mathematics examination was higher than their mean score on the FCAT science examination regardless of the language of instruction.

Does Writing Have Any Effect on Mathematics Success?

ERIC Educational Resources Information Center

Dündar, Sefa

2016-01-01

In this study, the relationship between mathematics success and the formal properties and contents of the notebooks in which students take notes during mathematics classes have been examined. The exploratory model, in which quantitative and qualitative data are used together, has been used in this study. This study consists of 176 students from 3…

A Case Study on Specialised Content Knowledge Development with Dynamic Geometry Software: The Analysis of Influential Factors and Technology Beliefs of Three Pre-Service Middle Grades Mathematics Teachers

ERIC Educational Resources Information Center

Zambak, Vecihi S.; Tyminski, Andrew M.

2017-01-01

This study characterises the development of Specialised Content Knowledge (SCK) with dynamic geometry software (DGS) throughout a semester. The research employed a single-case study with the embedded units of three pre-service middle grades mathematics teachers. Qualitative data were collected, and factors affecting these three teachers' SCK…

Content Area Literacy in the Mathematics Classroom

ERIC Educational Resources Information Center

Armstrong, Abbigail; Ming, Kavin; Helf, Shawnna

2018-01-01

Content area literacy has an important role in helping students understand content in specific disciplines, such as mathematics. Although the strategies are not unique to each individual content area, they are often adapted for use in a specific discipline. For example, mathematicians use mathematical language to make sense of new ideas and…

Does content knowledge matter for new teachers?

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Reeves, Todd D.

There is considerable evidence that new teachers are ill prepared for classroom practice, including self-reported evidence collected from teachers (e.g., Levine, 2006), and statistical evidence for differences in the achievement of students with new versus more experienced teachers (Rivkin, Hanushek, & Kain, 2005). In light of the challenges encountered by new teachers (e.g., Levine, 2006), this study examined the value of different forms of teacher knowledge for teachers with different levels of experience. In particular, this study investigated the interactive relationship between teaching experience and teacher content knowledge, and student achievement in mathematics and science. In New York City, Boyd et al. (2009) linked practice-focused teacher preparation to student mathematics achievement in the first year of teaching and teacher content preparation to achievement in the second. However, other studies demonstrated interactions between teaching experience and content knowledge with different interpretations (e.g., Kukla-Acevedo, 2009; Monk, 1994). At the same time, this study examined the interactive relationship between teaching experience and teachers' pedagogical content knowledge, and student achievement. Extant models of teacher career development (Huberman, 1989; National Research Council, 2010) and how teacher education affects student achievement (e.g., Desimone, 2009) offered theoretical grounding for the study. With nationally representative samples of fourth and eighth grade U.S. students--participants in the 2011 Trends in International Mathematics and Science Study--this study employed hierarchical linear modeling to address its research questions among an array of student achievement outcomes in the domains of mathematics and science. This study attempted to account for salient student, teacher, and contextual factors, and the probabilities of teachers' receipt of various teacher education "treatments" (i.e., propensity score analysis) to reduce the plausibility of selection threats to internal validity. The study found no evidence for relationships between teacher content knowledge or pedagogical content knowledge and student mathematics and science achievement in fourth and eighth grade. Furthermore, the results indicated no interactive relationships between forms of teacher knowledge and teaching experience, and student achievement in these grades/subjects. The limitations of cross-sectional, observational studies using large-scale data and directions for further research are discussed.

A National Study of Mathematics Requirements for Scientists and Engineers. Final Report.

ERIC Educational Resources Information Center

Miller, G. H.

The National Study of Mathematics Requirements for Scientists and Engineers is concerned with establishing the mathematics experiences desired for the many specializations in science and engineering, such as microbiology, organic chemistry, electrical engineering, and molecular physics. An instruction and course content sheet and a course…

Professional Vision: Elementary School Principals' Perceptions of Mathematics Instruction

ERIC Educational Resources Information Center

Schoen, Robert C.

2010-01-01

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)…

A Critical Evaluation of Mathematics Courses in Architectural Education and Practice

ERIC Educational Resources Information Center

Cikis, Seniz

2010-01-01

Mathematics courses are integral part of architectural education. The content and objectives of these courses were determined in the Age of Enlightenment. Although conditions have changed since then, they still exist without being subjected to a radical revision. This study aims to introduce the necessary information for upgrading the content of…

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

ERIC Educational Resources Information Center

Akkas, Elif Nur; Türnüklü, Elif

2014-01-01

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

Practical Use of ICT in Science and Mathematics Teachers' Training at Dar es Salaam University College of Education: An Analysis of Prospective Teachers' Technological Pedagogical Content Knowledge

ERIC Educational Resources Information Center

Kafyulilo, Ayoub C.

2010-01-01

This study investigated the ways through which pre-service science and mathematics teachers at Dar es Salaam University College of Education (DUCE) can acquire competencies for integrating technology pedagogy and content in teaching. Specifically the study investigated the preservice teachers' ICT integration competencies; practices that can be…

Communication and Academic Vocabulary in Mathematics: A Content Analysis of Prompts Eliciting Written Responses in Two Elementary Mathematics Textbooks

ERIC Educational Resources Information Center

Joseph, Christine M.

2012-01-01

The purpose of this study was to investigate how writing in mathematics is treated in one 4th grade National Science Foundation (NSF)-funded mathematics textbook titled "Everyday Mathematics" and one publisher-generated textbook titled "enVision MATH." The developed framework provided categories to support each of the research…

Activities for Students: Connecting Spatial Reasoning Ideas in Mathematics and Chemistry

ERIC Educational Resources Information Center

Raje, Sonali; Krach, Michael; Kaplan, Gail

2013-01-01

Concepts in mathematics are often universally applicable to other fields. A critical aspect for success in high school or college is the ability to transfer content knowledge from one discipline to another. This is especially true for material learned in the sciences and mathematics. Several studies have suggested that strong mathematical skills…

In Measure, Number, and Weight: Studies in Mathematics and Culture.

ERIC Educational Resources Information Center

Hoyrup, Jens

In this collection of essays, the content of mathematics is dealt with in general terms, concentrating on cognitive organization, modes of thought, and the way that mathematics interacts with the sociocultural setting. Chapter 1 compares features of Sumero-Babylonian, ancient Greek, and Latin medieval mathematics. Chapter 2 traces the specific…

Pedagogical Applications from Real Analysis for Secondary Mathematics Teachers

ERIC Educational Resources Information Center

Wasserman, Nicholas; Weber, Keith

2017-01-01

In this article, we consider the potential influences of the study of proofs in advanced mathematics on secondary mathematics teaching. Thus far, the literature has highlighted the benefits of applying the conclusions of particular proofs to secondary content and of developing a more general sense of disciplinary practices in mathematics in…

The written mathematical communication profile of prospective math teacher in mathematical proving

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Pantaleon, K. V.; Juniati, D.; Lukito, A.; Mandur, K.

2018-01-01

Written mathematical communication is the process of expressing mathematical ideas and understanding in writing. It is one of the important aspects that must be mastered by the prospective math teacher as tool of knowledge transfer. This research was a qualitative research that aimed to describe the mathematical communication profile of the prospective mathematics teacher in mathematical proving. This research involved 48 students of Mathematics Education Study Program; one of them with moderate math skills was chosen as the main subject. Data were collected through tests, assignments, and task-based interviews. The results of this study point out that in the proof of geometry, the subject explains what is understood, presents the idea in the form of drawing and symbols, and explains the content/meaning of a representation accurately and clearly, but the subject can not convey the argument systematically and logically. Whereas in the proof of algebra, the subject describes what is understood, explains the method used, and describes the content/meaning of a symbolic representation accurately, systematically, logically, but the argument presented is not clear because it is insufficient detailed and complete.

Mathematics education practice in Nigeria: Its impact in a post-colonial era

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Enime, Noble O. J.

This qualitative research method of study examined the impacts of the Nigerian pre-independence era Mathematics Education Practice on the Post-Colonial era Mathematics Education Practice. The study was designed to gather qualitative information related to Pre-independence and Postcolonial era data related to Mathematics Education Practice in Nigeria (Western, Eastern and the Middle Belt) using interview questions. Data was collected through face to face interviews. Over ten themes emerged from these qualitative interview questions when data was analyzed. Some of the themes emerging from the sub questions were as follows. "Mentally mature to understand the mathematics" and "Not mentally mature to understand the mathematics", "mentally mature to understand the mathematics, with the help of others" and "Not Sure". Others were "Contented with Age of Enrollment" and "Not contented with Age of Enrollment". From the questions of type of school attended and liking of mathematics the following themes emerged: "Attended UPE (Universal Primary Education) and understood Mathematics", and "Attended Standard Education System and did not like Mathematics". Connections between the liking of mathematics and the respondents' eventual careers were seen through the following themes that emerged. "Biological Sciences based career and enjoyed High School Mathematics Experience", "Economics and Business Education based career and enjoyed High School Mathematics Experience" and five more themes. The themes, "Very helpful" and "Unhelpful" emerged from the question concerning parents and students' homework. Some of the themes emerging from the interviews were as follows: "Awesome because of method of Instruction of Mathematics", "Awesome because Mathematics was easy", "Awesome because I had a Good Teacher or Teachers" and four other themes, "Like and dislike of Mathematics", "Heavy work load", "Subject matter content" and "Rigor of instruction". More emerging themes are presented in this document in Chapter IV. The emerging themes suggested that the influence Nigerian Colonial era Mathematics Education Practice had on the independent Nigerian state is yet to completely diminish. The following are among the conclusions drawn n from the study. Student's enrollment age appeared to generally have an influence over the performance in mathematics at all levels of school. Also, students that had encouraging parents were likely to enjoy learning mathematics, while students that attended mission schools were likely to be successful in mathematics. The students whose parents were educated were likely to be successful in Mathematics.

Gifted Students' Metaphor Images about Mathematics

ERIC Educational Resources Information Center

Arikan, Elif Esra; Unal, Hasan

2015-01-01

The aim of this study is to investigate the metaphors images of gifted students about mathematics. The sample of the study consists of 82 gifted students, which are 2, 3, 4, 5, 6, 7 graders, from Istanbul. Data were collected by asking students to complete the sentence: "Mathematics is as …, because…". In the study content analysis was…

Students' Perception of Teachers' Characteristics and Their Attitude towards Mathematics in Oron Education Zone, Nigeria

ERIC Educational Resources Information Center

Etuk, Etuk N.; Afangideh, Maria E.; Uya, Asukwo O.

2013-01-01

The study sought to find out the relationship between how students perceive their teachers' in respect of knowledge of Mathematics content, communication ability, use of appropriate teaching strategies and teachers' classroom management skills and students' attitude towards mathematics. The population of the study comprised all the second year…

Relationship between Pedagogical Strategies and Teachers' Content Knowledge of Mathematics

ERIC Educational Resources Information Center

Kanyongo, Gibbs Y.; Brown, Launcelot I.

2013-01-01

This study employed regression analysis to investigate the relationship between primary school teachers' pedagogical practices and their knowledge of mathematics. The sample composed of 606 Grade 6 mathematics teachers in Namibia, i.e. 304 (50.2%) males and 302 (49.8%) females. The study utilized existing questionnaire data collected by the…

Implementation and Outcomes of Inquiry-Based Learning in Mathematics Content Courses for Pre-Service Teachers

ERIC Educational Resources Information Center

Laursen, Sandra L.; Hassi, Marja-Liisa; Hough, Sarah

2016-01-01

This mixed-methods study describes classroom characteristics and student outcomes from university mathematics courses that are based in mathematics departments, targeted to future pre-tertiary teachers, and taught with inquiry-based learning (IBL) approaches. The study focused on three two-term sequences taught at two research universities,…

Toward Improving the Mathematics Preparation of Elementary Preservice Teachers

ERIC Educational Resources Information Center

Cardetti, Fabiana; Truxaw, Mary P.

2014-01-01

Research suggests the importance of mathematics knowledge for teaching (MKT) for enabling elementary school teachers to effectively teach mathematics. MKT involves both mathematical content knowledge (M-CK) and mathematical pedagogical content knowledge (M-PCK). However, there is no consensus on how best to prepare elementary preservice teachers…

The Language of Mathematics: The Importance of Teaching and Learning Mathematical Vocabulary

ERIC Educational Resources Information Center

Riccomini, Paul J.; Smith, Gregory W.; Hughes, Elizabeth M.; Fries, Karen M.

2015-01-01

Vocabulary understanding is a major contributor to overall comprehension in many content areas, including mathematics. Effective methods for teaching vocabulary in all content areas are diverse and long standing. Teaching and learning the language of mathematics is vital for the development of mathematical proficiency. Students' mathematical…

Pre-Service Teachers' Mathematics Content Knowledge: Implications for How Mathematics Is Taught in Higher Education

ERIC Educational Resources Information Center

Lowrie, Tom; Jorgensen, Robyn

2016-01-01

This investigation explored pre-service teachers' mathematics content knowledge (MCK) and beliefs associated with mathematics education practices. An Exploratory Factor Analysis, conducted on a beliefs and attitudes questionnaire, produced three common attitude factors associated with (1) inquiry-based teaching; (2) how mathematics knowledge is…

Does Knowing More Advanced Mathematics Ensure Effectiveness of Working towards Demonstrating Specialised Mathematical Content Knowledge of Second-Year Pre-Service Teachers?

ERIC Educational Resources Information Center

Livy, Sharyn

2012-01-01

The theoretical understanding that underpins a teacher's foundation knowledge draws on their common content knowledge (CCK) and influences their mathematics' teaching (Rowland, Turner, Thwaites, & Huckstep, 2009). Teachers who have specialised content knowledge (SCK) demonstrate a unique kind of content knowledge which is more than knowing the…

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

ERIC Educational Resources Information Center

Stoilescu, Dorian

2014-01-01

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

Determination of the Core Curriculum for the Liberal Arts Mathematics Course at Saddleback College.

ERIC Educational Resources Information Center

Sworder, Steve

A study was conducted to assess faculty and student preferences regarding the goals and content of Saddleback College's (California) liberal arts mathematics course. Following a review of the literature, an extensive list of course goals, content areas, and prior student preparation needs was formed into a questionnaire, which was administered to…

Gender Difference in Teachers' Mathematical Knowledge for Teaching in the Context of Single-Sex Classrooms

ERIC Educational Resources Information Center

Haroun, Ramzi F.; Ng, Dicky; Abdelfattah, Faisal A.; AlSalouli, Misfer S.

2016-01-01

This study examines gender differences of teachers on their mathematical knowledge for teaching in the context of single-sex classrooms in Saudi Arabia. A translated version of the Mathematical Knowledge for Teaching (MKT) instrument (Learning Mathematics for Teaching [LMT], 2008) in Number and Operation Content Knowledge (CK) and Knowledge of…

Differences in Mathematics Teachers' Perceived Preparedness to Demonstrate Competence in Secondary School Mathematics Content by Teacher Characteristics

ERIC Educational Resources Information Center

Ng'eno, J. K.; Chesimet, M. C.

2016-01-01

A sample of 300 mathematics teachers drawn from a population of 1500 participated in this study. The participants were selected using systematic random sampling and stratified random sampling (stratified by qualification and gender). The data was collected using self-report questionnaires for mathematics teachers. One tool was used to collect…

An Examination of Preservice Teachers' Capacity to Create Mathematical Modeling Problems for Children

ERIC Educational Resources Information Center

Paolucci, Catherine; Wessels, Helena

2017-01-01

This study examined preservice teachers' (PSTs) capacity to create mathematical modeling problems (MMPs) for grades 1 to 3. PSTs created MMPs for their choice of grade level and aligned the mathematical content of their MMPs with the relevant mathematics curriculum. PSTs were given criteria adapted from Galbraith's MMP design principles to guide…

Contents or Ideology? A Case Study of Mathematical Teaching in North Korea

ERIC Educational Resources Information Center

Karp, Alexander; Lee, JungHang

2010-01-01

This article addresses mathematics education in one of the most closed countries in the world, North Korea. It is known that ideology permeates all aspects of life in North Korea, but how exactly do the ideological and substantive mathematical components interact in mathematics education there? What concrete form does this interaction take in…

Investigating Grade Nine Textbook Problems for Characteristics Related to Mathematical Literacy

ERIC Educational Resources Information Center

Gatabi, Abolfazl Rafiepour; Stacey, Kaye; Gooya, Zahra

2012-01-01

This study presents a content analysis of the new Iranian Grade 9 mathematics textbook and two Australian Year 9 mathematics textbooks, examining the extent to which the problems show characteristics associated in the literature with promoting mathematical literacy. The new Iranian book was produced to meet a range of needs including several well…

An Investigation of K-8 Preservice Teachers' Concept Images and Mathematical Definitions of Polygons

ERIC Educational Resources Information Center

Ward, Robin A.

2004-01-01

In this paper, the author presents a study which explored K-8 preservice teachers' concept images and mathematical definitions of polygons. This study was carried out in which K-8 teacher candidates enrolled in an elementary mathematics content course were asked to sort, identify, and provide definitions of such shapes including triangles,…

A Study of Special Education Teachers' TPACK Development in Mathematics and Science through Assessment of Lesson Plans

ERIC Educational Resources Information Center

Lyublinskaya, Irina; Tournaki, Nelly

2014-01-01

Invited as a paper from SITE 2013. This study focuses on the development of Technological Pedagogical And Content Knowledge (TPACK) in mathematics and science of pre-service special education teachers for teaching mathematics and science via one course. This course introduces a variety of strategies and techniques for using instructional…

Self-Contained versus Departmentalized School Organization and the Impact on Fourth and Fifth Grade Student Achievement in Reading and Mathematics as Determined by the Kentucky Core Content Test

ERIC Educational Resources Information Center

Kent, Kimberly Penn

2010-01-01

The primary purpose of this study was to determine if there was a difference between self-contained and departmentalized classroom organization on the Kentucky Core Content Test (KCCT) in reading and mathematics for students in fourth and fifth grade. A secondary purpose of this study was to consider how these organizational structures affect the…

The Compatibility of Developed Mathematics Textbooks' Content in Saudi Arabia (Grades 6-8) with NCTM Standards

ERIC Educational Resources Information Center

Alshehri, Mohammed Ali; Ali, Hassan Shawki

2016-01-01

This study aimed to investigate the compatibility of developed mathematics textbooks' content (grades 6-8) in Saudi Arabia with NCTM standards in the areas of: number and operations, algebra, geometry, measurement, data analysis and probability. To achieve that goal, a list of (NCTM) standards for grades (6-8) were translated to Arabic language,…

Developing an Instrument for Measuring Teachers' Mathematics Content Knowledge on Ratio and Proportion: A Case of Indonesian Primary Teachers

ERIC Educational Resources Information Center

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

2015-01-01

In this study, we developed an instrument for assessing teachers' mathematics content knowledge (MCK) on ratio and proportion and examined the profile of Indonesian primary teacher's MCK on this topic. The MCK items were administered to 271 Indonesian in-service primary teachers with a variety of educational backgrounds and teaching experiences.…

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

ERIC Educational Resources Information Center

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

2016-01-01

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

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

ERIC Educational Resources Information Center

Matthews, Mary Elizabeth

2013-01-01

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

The Mathematics Education of Elementary Teachers: Issues and Strategies for Content Courses

ERIC Educational Resources Information Center

Hart, Lynn C., Ed.; Oesterle, Susan, Ed.; Auslander, Susan Swars, Ed.; Kajander, Ann, Ed.

2016-01-01

This book is an edited volume addressing specific issues of significance for individuals involved with the undergraduate mathematics content preparation of prospective elementary teachers (PSTs). Teaching mathematics content courses to this group of students presents unique challenges. While some PSTs enter their teacher preparation with weak…

Examining the Association between Explicit Mathematics Instruction and Student Mathematics Achievement

ERIC Educational Resources Information Center

Doabler, Christian T.; Baker, Scott K.; Kosty, Derek B.; Smolkowski, Keith; Clarke, Ben; Miller, Saralyn J.; Fien, Hank

2015-01-01

Explicit instruction is a systematic instructional approach that facilitates frequent and meaningful instructional interactions between teachers and students around critical academic content. This study examined the relationship between student mathematics outcomes and the rate and quality of explicit instructional interactions that occur during…

On Singapore Prospective Secondary School Teachers' Mathematical Content Knowledge

ERIC Educational Resources Information Center

Toh, Tin Lam

2017-01-01

This paper reports the performance of one entire cohort of Singapore prospective secondary school mathematics teachers in a mathematics proficiency test. The prospective teachers were admitted to the teacher education program specializing in teaching secondary school mathematics. The strengths of the prospective teachers' content knowledge, their…

Mathematical Strengths and Weaknesses of Preservice Agricultural Education Teachers

ERIC Educational Resources Information Center

Stripling, Christopher T.; Roberts, T. Grady; Stephens, Carrie A.

2014-01-01

The purpose of this study was to describe the mathematics ability of preservice agricultural education teachers related to each of the National Council of Teachers of Mathematics (NCTM) content/process areas and their corresponding sub-standards that are cross-referenced with the National Agriculture, Food and Natural Resources Career Cluster…

Teachers' Pedagogical Mathematical Awareness in Swedish Early Childhood Education

ERIC Educational Resources Information Center

Björklund, Camilla; Barendregt, Wolmet

2016-01-01

Revised guidelines for Swedish early childhood education that emphasize mathematics content and competencies in more detail than before raise the question of the status of pedagogical mathematical awareness among Swedish early childhood teachers. The purpose of this study is to give an overview of teachers' current pedagogical mathematical…

MATHEMATICS CLUSTERS IN SELECTED AREAS OF VOCATIONAL EDUCATION, REPORT NUMBER 8.

ERIC Educational Resources Information Center

RAHMLOW, HAROLD F.; WINCHELL, LEONARD

IDENTIFICATIONS WERE MADE OF THE MATHEMATICAL KNOWLEDGES COMMONLY USED IN OCCUPATIONS MOST READILY SUITABLE FOR NONCOLLEGE-BOUND YOUTH. TASK ITEMS FROM QUESTIONNAIRES USED IN OFFICE OCCUPATIONS, GENERAL MERCHANDISING, BUILDING TRADES, ELECTRONICS, FOOD SERVICE, CHILD CARE, AND AGRICULTURE STUDIES WERE EXAMINED FOR MATHEMATICAL KNOWLEDGE CONTENT.…

Mathematics Academies: Cohort 1 Evaluation Study, 2011-2013

ERIC Educational Resources Information Center

Stohr, Amber D.

2014-01-01

Commencing in 2011, the Mathematics Academies Initiative is a series of professional development academies (lasting 1 to 2 years, depending on cohort) with the primary objectives of (a) providing educators with a high quality professional development experience that enhances their mathematical content knowledge and pedagogical skills, and (b)…

Teaching Mathematical Problem Solving to Students with Limited English Proficiency.

ERIC Educational Resources Information Center

Kaplan, Rochelle G.; Patino, Rodrigo A.

Many mainstreamed students with limited English proficiency continue to face the difficulty of learning English as a second language (ESL) while studying mathematics and other content areas framed in the language of native speakers. The difficulty these students often encounter in mathematics classes and their poor performance on subsequent…

Computer-Game-Based Tutoring of Mathematics

ERIC Educational Resources Information Center

Ke, Fengfeng

2013-01-01

This in-situ, descriptive case study examined the potential of implementing computer mathematics games as an anchor for tutoring of mathematics. Data were collected from middle school students at a rural pueblo school and an urban Hispanic-serving school, through in-field observation, content analysis of game-based tutoring-learning interactions,…

Mathematical Communication in State Standards before the Common Core

ERIC Educational Resources Information Center

Kosko, Karl Wesley; Gao, Yang

2017-01-01

Mathematical communication has been an important feature of standards documents since National Council of Teachers of Mathematics' (NCTM) (1989) "Curriculum and Evaluation Standards." Such an emphasis has influenced content standards of states from then to present. This study examined how effective the prevalence of various forms of…

Mathematical Content of Curricula and Beginning Salaries of Graduating Students

ERIC Educational Resources Information Center

Lee, B. Brian; Lee, Jungsun

2009-01-01

The authors examined an association between mathematical content in college-level curricula and beginning salaries of graduating students on the basis of data collected from a public university in the southern region of the United States. The authors classified the mathematical content requirements of the curricula into the following 5 groups…

One-Year Integrated Mathematics and Mathematics Methods Course for Prospective Elementary School Teachers.

ERIC Educational Resources Information Center

Springer, George

This guide describes the content of a proposed mathematics course for prospective elementary school teachers. It is the result of a two-year study at Indiana University in which three existing courses were integrated and coordinated. For each unit of instruction, there are (1) remarks for motivation of study, (2) remarks on methods of teaching,…

What Are We Developing? A Case Study of a College Mathematics Program

ERIC Educational Resources Information Center

Johnson, Pete

2007-01-01

Over one-third of all college mathematics enrollments are in courses considered to be developmental. While such courses have been the subject of a large body of research, one question that seems not to have been studied empirically is the alignment of the content of developmental and college level mathematics courses. This paper gives the results…

Preparing Special Education Teachers for Teaching Mathematics and Science with Technology by Integrating the TPACK Framework into the Curriculum: A Study of Teachers' Perceptions

ERIC Educational Resources Information Center

Tournaki, Nelly; Lyublinskaya, Irina

2014-01-01

This study examined the development of Technological Pedagogical And Content Knowledge (TPACK) in mathematics and science of pre-service special education teachers via one course. The course focused on the three domains of knowledge related specifically to integrating instructional technology into mathematics and science teaching and learning…

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

ERIC Educational Resources Information Center

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

2013-01-01

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

Financial Mathematical Tasks in a Middle School Mathematics Textbook Series: A Content Analysis

ERIC Educational Resources Information Center

Hamburg, Maryanna P.

2009-01-01

This content analysis examined the distribution of financial mathematical tasks (FMTs), mathematical tasks that contain financial terminology and require financially related solutions, across the National Standards in K-12 Personal Finance Education categories (JumpStart Coalition, 2007), the thinking skills as identified by "A Taxonomy for…

How to build a course in mathematical-biological modeling: content and processes for knowledge and skill.

PubMed

Hoskinson, Anne-Marie

2010-01-01

Biological problems in the twenty-first century are complex and require mathematical insight, often resulting in mathematical models of biological systems. Building mathematical-biological models requires cooperation among biologists and mathematicians, and mastery of building models. A new course in mathematical modeling presented the opportunity to build both content and process learning of mathematical models, the modeling process, and the cooperative process. There was little guidance from the literature on how to build such a course. Here, I describe the iterative process of developing such a course, beginning with objectives and choosing content and process competencies to fulfill the objectives. I include some inductive heuristics for instructors seeking guidance in planning and developing their own courses, and I illustrate with a description of one instructional model cycle. Students completing this class reported gains in learning of modeling content, the modeling process, and cooperative skills. Student content and process mastery increased, as assessed on several objective-driven metrics in many types of assessments.

The Impact of Sustained, Standards-Based Professional Learning on Second and Third Grade Teachers' Content and Pedagogical Knowledge in Integrated Mathematics

ERIC Educational Resources Information Center

Bailey, Lora B.

2010-01-01

This 3 year longitudinal study reports the feasibility of an "Improving Teacher Quality: No Child Left Behind" project for impacting teachers' content and pedagogical knowledge in mathematics in nine Title I elementary schools in the southeastern United States. Data were collected for 3 years to determine the impact of standards and…

Tell Me Why! Content Knowledge Predicts Process-Orientation of Math Researchers' and Math Teachers' Explanations

ERIC Educational Resources Information Center

Lachner, Andreas; Nückles, Matthias

2016-01-01

In two studies, we investigated the impact of instructors' different knowledge bases on the quality of their instructional explanations. In Study 1, we asked 20 mathematics teachers (with high pedagogical content knowledge, but lower content knowledge) and 15 mathematicians (with lower pedagogical content knowledge, but high content knowledge) to…

A mathematics content course and teaching efficacy beliefs of undergraduate majors in education.

PubMed

Alkhateeb, Haitham M; Abed, Adnan S

2003-10-01

This study was designed to assess the mathematics teaching efficacy beliefs of undergraduates in elementary education through a manipulative-based course in mathematics. Responses of 106 university undergraduates to the 21-item Mathematics Teaching Efficacy Beliefs administered as pre- and posttest without a control group showed a significant immediate postcourse change in their efficacy beliefs using dependent t test.

Application of a functional mathematical index for antibacterial and anticarcinogenic effects of tea catechins.

PubMed

Finotti, Enrico; Bersani, Enrico; Friedman, Mendel

2011-02-09

Tea leaves produce secondary metabolites that are involved in the defense of the plants against invading pathogens. In the case of green teas, these metabolites are polyphenolic compounds called catechins. Previous studies developed a mathematical formula called functional mathematical index (FMI) that was used to describe the quality of different olive oils and potatoes in terms of compositional parameters and antioxidative properties of individual components. This study extends the development of the FMI concept to define an "optimum tea" based on reported relationships between the content of structurally different catechins of a large number of teas and their dual beneficial effects: antimicrobial activities against a foodborne pathogen and inhibition of human cancer cell lines. The described mathematical approach may be useful for predicting relative beneficial effects of new teas based on their catechin content.

Content Coverage Differences across Districts/States: A Persisting Challenge for U.S. Education Policy

ERIC Educational Resources Information Center

Schmidt, William H.; Cogan, Leland S.; Houang, Richard T.; McKnight, Curtis C.

2011-01-01

This article utilizes the 1999 TIMSS-R data from U.S. states and districts to explore the consequences of variation in opportunities to learn specific mathematics content. Analyses explore the relationship between classroom mathematics content coverage and student achievement as measured by the TIMSS-R international mathematics scaled score.…

Developing Mathematical Content Knowledge for Teaching: One Preservice Teacher and Her Planning

ERIC Educational Resources Information Center

Wilson, Susanna

2016-01-01

This paper describes how a new pre-service teacher engaged with mathematical content in order to learn it for teaching, during practicum. The results show that the PST learned mathematical content by initiating and carrying out a preparation phase prior to planning. This phase involved searching through internet sites and making notes that were…

Influences on Mathematical Preparation of Secondary School Teachers of Mathematics.

ERIC Educational Resources Information Center

Johnson, Carl S.; Byars, Jackson A.

The results of a survey related to the impact of various recommendations on preservice content programs for teachers of mathematics are reported. The content of current programs is compared to the recommendations of the Committee on Undergraduate Programs in Mathematics (CUPM). The acceptance of CUPM and the Cambridge Conference on School…

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

ERIC Educational Resources Information Center

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

2015-01-01

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

The link between middle school mathematics course placement and achievement.

PubMed

Domina, Thurston

2014-01-01

The proportion of eighth graders in United States public schools enrolled in algebra or a more advanced mathematics course doubled between 1990 and 2011. This article uses Early Childhood Longitudinal Study's Kindergarten Cohort data to consider the selection process into advanced middle school mathematics courses and estimate the effects of advanced courses on students' mathematics achievement (n = 6,425; mean age at eighth grade = 13.7). Eighth-grade algebra and geometry course placements are academically selective, but considerable between-school variation exists in students' odds of taking these advanced courses. While analyses indicate that advanced middle school mathematics courses boost student achievement, these effects are most pronounced in content areas closely related to class content and may be contingent on student academic readiness. © 2014 The Author. Child Development © 2014 Society for Research in Child Development, Inc.

Transforming Teacher Preparation to Ensure Long-Term Improvement in STEM Teaching

ERIC Educational Resources Information Center

Hiebert, James

2013-01-01

An alternative mathematics preparation program for K-8 teachers is described as an existence proof that steadily increasing effectiveness of STEM (science, technology, engineering, and mathematics) preparation is possible. The program is based on treating every lesson in each of five mathematics content and methods courses as objects of study.…

Scott Foresman-Addison Wesley Elementary Mathematics. What Works Clearinghouse Intervention Report

ERIC Educational Resources Information Center

What Works Clearinghouse, 2010

2010-01-01

"Scott Foresman-Addison Wesley Elementary Mathematics" is a core curriculum for students at all ability levels in prekindergarten through grade 6. The program supports students' understanding of key math concepts and skills and covers a range of mathematical content across grades. The What Works Clearinghouse (WWC) reviewed 12 studies on…

Problem Posing as a Pedagogical Strategy: A Teacher's Perspective

ERIC Educational Resources Information Center

Staebler-Wiseman, Heidi A.

2011-01-01

Student problem posing has been advocated for mathematics instruction, and it has been suggested that problem posing can be used to develop students' mathematical content knowledge. But, problem posing has rarely been utilized in university-level mathematics courses. The goal of this teacher-as-researcher study was to develop and investigate…

What Happens When Teachers and Students Are Introduced to Mathematical Investigations: An Exploratory Study

ERIC Educational Resources Information Center

Nivera, Gladys C.

2017-01-01

A mathematical investigation (MI) encapsulates the reform movement in mathematics education by addressing content and process simultaneously and providing a novel opportunity for students to develop thinking skills and good mental habits. However, introducing MI to teachers and students who are used to routinised teaching approaches and…

Assistive Technology and Mathematics Education: Reports from the Field

ERIC Educational Resources Information Center

Bouck, Emily C.

2012-01-01

Mathematics is a critical content area and assistive technology can benefit students with high incidence disabilities in accessing and achieving in this domain. Yet, the field lacks awareness of how often teachers use assistive technology in mathematics and what types of technology they are using. This study sought to understand teachers' self…

Insurance and Mathematics: Developing Democratic Citizenship through Interdisciplinary Approaches to Contemporary Issues

ERIC Educational Resources Information Center

Misco, Thomas; Lee, Lena; Malone, Kevin; Goley, G. Steven; Seabolt, Phaedra

2012-01-01

Insurance is an interesting interdisciplinary topic that can offer generative meaning and relevance for students. By adapting real life examples and authentic simulations, mathematical concepts can be applied to insurance-related social studies issues and content. This article explores ways to teach insurance and related mathematical concepts to…

"Math Makes Me Sweat" The Impact of Pre-Service Courses on Mathematics Anxiety

ERIC Educational Resources Information Center

Johnson, Beth; vanderSandt, Suriza

2011-01-01

We investigate mathematics anxiety amongst education majors currently enrolled as pre-service teachers in special education, deaf and hard of hearing, early childhood and elementary education. The impact of a compulsory freshmen content course and sophomore methodology course on mathematics anxiety for each education major was studied over a two…

Comparing the Development of the Multiplication of Fractions in Turkish and American Textbooks

ERIC Educational Resources Information Center

Kar, Tugrul; Güler, Gürsel; Sen, Ceylan; Özdemir, Ercan

2018-01-01

This study analyzed the methods used to teach the multiplication of fractions in Turkish and American textbooks. Two Turkish textbooks and two American textbooks, "Everyday Mathematics" (EM) and "Connected Mathematics 3" (CM), were analyzed. The analyses focused on the content and the nature of the mathematical problems…

Virtual and Concrete Manipulatives: A Comparison of Approaches for Solving Mathematics Problems for Students with Autism Spectrum Disorder

ERIC Educational Resources Information Center

Bouck, Emily C.; Satsangi, Rajiv; Doughty, Teresa Taber; Courtney, William T.

2014-01-01

Students with autism spectrum disorder (ASD) are included in general education classes and expected to participate in general education content, such as mathematics. Yet, little research explores academically-based mathematics instruction for this population. This single subject alternating treatment design study explored the effectiveness of…

Dynamic and Interactive Mathematics Learning Environments: The Case of Teaching the Limit Concept

ERIC Educational Resources Information Center

Martinovic, Dragana; Karadag, Zekeriya

2012-01-01

This theoretical study is an attempt to explore the potential of the dynamic and interactive mathematics learning environments (DIMLE) in relation to the technological pedagogical content knowledge (TPACK) framework. DIMLE are developed with intent to support learning mathematics through free exploration in a less constrained environment. A…

Technological pedagogical content knowledge and teaching practice of mathematics trainee teachers

NASA Astrophysics Data System (ADS)

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

2014-07-01

This study aims to identify the level of technological pedagogical content knowledge (TPCK) of mathematics trainee teachers at Universiti Pendidikan Sultan Idris (UPSI) and explore their teaching practices during practical training at school. The study was conducted in two phases using a mix-method research. In the first phase, a survey method using a questionnaire was carried out on 156 trainee teachers of Bachelor of Mathematics Education (AT14) and Bachelor of Science (Mathematics) with Education (AT48). The instrument used was a questionnaire that measures the level of content knowledge, pedagogy, technology and TPCK of mathematics. Data were analyzed using descriptive statistics, namely the mean. While in the second phase, the interview method involved four trainee teachers were performed. The instrument used was the semi-structured interview protocol to assess the trainee teacher's TPCK integration in their teaching practice. Data were analyzed using the content analysis. The findings showed that the level of knowledge of TPCK among trainee teachers was moderate with overall mean score of 3.60. This level did not show significant differences between the two programs with mean scores of 3.601 for the AT14 group and 3.603 for the AT48 group. However, there was a difference for gender classification such that the female trainees had mean score of 3.58 and male trainees with mean score of 3.72. Although students' TPCK level was moderate, the level of content knowledge (CK), technological knowledge (TK) and pedagogical knowledge (PK), showed a higher level with overall mean scores of 3.75, 3.87 and 3.84 respectively. The findings also showed that in terms of content knowledge, trainee teacher's learning mathematics background was good, but the knowledge of mathematics was limited in the curriculum, philosophy and application aspect. In terms of pedagogical content knowledge, all respondents tend to use lecture and discussion methods in teaching Trigonometry topic in almost the entire teaching and learning sessions. In terms of using technology in teaching and learning process, all respondents were more likely to use PowerPoint presentation as well as assisted by the use of a scientific calculator. The use of PowerPoint was limited in explaining the title and its content and the calculators were used during practice sessions. The four trainee teachers were still at the recognizing and acceptance levels of TPCK integration during their teaching practice. This study indicates that UPSI trainee teachers should be given exposure in the use of information and communication technology and trained to provide alternative teaching strategies in more creative ways if there are obstacles when integrating technology in teaching and learning process.

Hybrid Task Design: Connecting Learning Opportunities Related to Critical Thinking and Statistical Thinking

ERIC Educational Resources Information Center

Kuntze, Sebastian; Aizikovitsh-Udi, Einav; Clarke, David

2017-01-01

Stimulating thinking related to mathematical content is the focus of many tasks in the mathematics classroom. Beyond such content-related thinking, promoting forms of higher order thinking is among the goals of mathematics instruction as well. So-called hybrid tasks focus on combining both goals: they aim at fostering mathematical thinking and…

The Role and Characteristics of Tactile Graphics in Secondary Mathematics and Science Textbooks in Braille

ERIC Educational Resources Information Center

Smith, Derrick W.; Smothers, Sinikka M.

2012-01-01

Introduction: The purpose of the study presented here was to determine how well tactile graphics (specifically data analysis graphs) in secondary mathematics and science braille textbooks correlated with the print graphics. Method: A content analysis was conducted on 598 separate data analysis graphics from 10 mathematics and science textbooks.…

Developing Mathematical Knowledge through Social Justice Pedagogy with Young Adult Arab Women

ERIC Educational Resources Information Center

Tanko, Mohammed Goma; Atweh, Bill

2012-01-01

The study involved a group of Middle Eastern Muslim women learning mathematics through social justice pedagogy. The findings suggest that the involvement of students in social justice issues has not lead into a decline in their opportunity to learn mathematical content as set in the course. However, this approach has helped them to develop…

ESL through Content-Area Instruction: Mathematics, Science, Social Studies. Language in Education: Theory and Practice, No. 69.

ERIC Educational Resources Information Center

Crandall, JoAnn, Ed.; And Others

Three essays focus on integrating subject matter and the English used to communicate it as a technique for teaching limited-English-proficient students. "Integrating Language and Mathematics Learning," by Theresa Corasaniti Dale and Gilberto J. Cuevas, discusses the vocabulary, syntax, semantics, and discourse features of mathematics;…

Utilizing the M-Scan to Measure Standards-Based Mathematics Teaching Practices: Affordances and Limitations

ERIC Educational Resources Information Center

Walkowiak, Temple A.; Berry, Robert Q.; Pinter, Holly H.; Jacobson, Erik D.

2018-01-01

The Mathematics Scan (M-Scan), a content-specific observational measure, was utilized to examine the extent to which "standards-based mathematics teaching practices" were present in three focal lessons. While previous studies have provided evidence of validity of the inferences drawn from M-Scan data, no prior work has investigated the…

Teaching Efficacy: Exploring Relationships between Mathematics and Science Self-Efficacy Beliefs, PCK and Domain Knowledge among Preservice Teachers from the United States

ERIC Educational Resources Information Center

Thomson, Margareta Maria; DiFrancesca, Daniell; Carrier, Sarah; Lee, Carrie

2017-01-01

This mixed-methods study investigated the relationships among preservice teachers' efficacy beliefs, pedagogical content knowledge (PCK) and their domain knowledge (DK) as related to mathematics and science teaching. Quantitative results revealed that participants' PCK was significantly correlated with their mathematics and science efficacy…

Examinations in the Final Year of Transition to Mathematical Methods Computer Algebra System (CAS)

ERIC Educational Resources Information Center

Leigh-Lancaster, David; Les, Magdalena; Evans, Michael

2010-01-01

2009 was the final year of parallel implementation for Mathematical Methods Units 3 and 4 and Mathematical Methods (CAS) Units 3 and 4. From 2006-2009 there was a common technology-free short answer examination that covered the same function, algebra, calculus and probability content for both studies with corresponding expectations for key…

Didactic Aspects of the Academic Discipline "History and Methodology of Mathematics"

ERIC Educational Resources Information Center

Sun, Hai; Varankina, Vera I.; Sadovaya, Victoriya V.

2017-01-01

The purpose of this article is to develop the content and methods, as well as the analysis of the approbation of the program of the academic discipline "History and methodology of mathematics" for graduate students of the Master's program of mathematical program tracks. The leading method in the study of this problem was the method of…

Readin', Writin', an' 'Rithmetic: Literacy Strategies in High School Mathematics

ERIC Educational Resources Information Center

Principato, Angela M.

2017-01-01

Stagnant growth on national standardized tests in mathematics and reading and a focus on disciplinary literacy in the Common Core State Standards in ELA, history/social studies, science, and technical subjects has prompted a resurgence in utilizing literacy strategies in the content areas in high school. While literacy standards in mathematics are…

Elementary Content Specialization: Models, Affordances, and Constraints

ERIC Educational Resources Information Center

Markworth, Kimberly A.; Brobst, Joseph; Ohana, Chris; Parker, Ruth

2016-01-01

Background: This study investigates the models of elementary content specialization (ECS) in elementary mathematics and science and the affordances and constraints related to ECS--both generally and in relation to specific models. Elementary content specialists are defined as full-time classroom teachers who are responsible for content instruction…

Mathematics Teacher TPACK Standards and Development Model

ERIC Educational Resources Information Center

Niess, Margaret L.; Ronau, Robert N.; Shafer, Kathryn G.; Driskell, Shannon O.; Harper, Suzanne R.; Johnston, Christopher; Browning, Christine; Ozgun-Koca, S. Asli; Kersaint, Gladis

2009-01-01

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…

Mapping Mathematics in Classroom Discourse

ERIC Educational Resources Information Center

Herbel-Eisenmann, Beth A.; Otten, Samuel

2011-01-01

This article offers a particular analytic method from systemic functional linguistics, "thematic analysis," which reveals the mathematical meaning potentials construed in discourse. Addressing concerns that discourse analysis is too often content-free, thematic analysis provides a way to represent semantic structures of mathematical content,…

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

ERIC Educational Resources Information Center

Livy, Sharyn

2010-01-01

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

The Effectiveness of Instructional Mathematics Coaching: A Study on How the Implementation of Instructional Mathematics Coaches in Elementary Schools Impacts Student Achievement and Promotes Teacher Self-Efficacy

ERIC Educational Resources Information Center

Taylor, Janice E.

2017-01-01

The State of Illinois adopted the Illinois Learning Standards for Mathematics on June 24, 2010 as a means for students to succeed in college, in a career and in life. The new standards had instructional shifts in content and practice that differed from the 1999 Illinois Learning Standards. The new mathematics standards contained fewer topics for…

Foundation Content Knowledge: What Do Pre-Service Teachers Need to Know?

ERIC Educational Resources Information Center

Linsell, Chris; Anakin, Megan

2013-01-01

The mathematics content knowledge of pre-service teachers is a growing area of inquiry. This topic requires further theoretical development due to the limited applicability of current cognitive and practice-oriented frameworks of mathematics content knowledge to beginning pre-service teachers. Foundation content knowledge is an integrated,…

Teacher Perspectives on Literacy and Mathematics Professional Development

ERIC Educational Resources Information Center

Martin, Christie; Polly, Drew; Mraz, Maryann; Algozzine, Robert

2018-01-01

This study examines teacher's perspectives of the most beneficial professional development they have participated in over the last three years in the content areas of literacy and mathematics. It also investigates teachers views on how professional development influences student learning. Specifically, this study is grounded in the following…

A Digital Storytelling Study Project on Mathematics Course with Preschool Pre-Service Teachers

ERIC Educational Resources Information Center

Inan, Cemil

2015-01-01

Digital storytelling technique is based on a presentation of course content in a story form using multimedia tools. In this study, digital stories were designed for mathematics instruction with preschool pre-service teachers. At the end of the six-week study, preschool students viewed the digital stories created. The study aimed to determine the…

The link between logic, mathematics and imagination: evidence from children with developmental dyscalculia and mathematically gifted children.

PubMed

Morsanyi, Kinga; Devine, Amy; Nobes, Alison; Szűcs, Dénes

2013-07-01

This study examined performance on transitive inference problems in children with developmental dyscalculia (DD), typically developing controls matched on IQ, working memory and reading skills, and in children with outstanding mathematical abilities. Whereas mainstream approaches currently consider DD as a domain-specific deficit, we hypothesized that the development of mathematical skills is closely related to the development of logical abilities, a domain-general skill. In particular, we expected a close link between mathematical skills and the ability to reason independently of one's beliefs. Our results showed that this was indeed the case, with children with DD performing more poorly than controls, and high maths ability children showing outstanding skills in logical reasoning about belief-laden problems. Nevertheless, all groups performed poorly on structurally equivalent problems with belief-neutral content. This is in line with suggestions that abstract reasoning skills (i.e. the ability to reason about content without real-life referents) develops later than the ability to reason about belief-inconsistent fantasy content.A video abstract of this article can be viewed at http://www.youtube.com/watch?v=90DWY3O4xx8. © 2013 Blackwell Publishing Ltd.

The Nation's Report Card[TM]: Mathematics 2005: Performance in Puerto Rico. Focus on the Content Areas. NCES 2007-460

ERIC Educational Resources Information Center

Dion, Gloria S.; Haberstroh, Jeff G.; Dresher, Amy R.

2007-01-01

This report focuses on the performance of fourth-and eighth-grade students in Puerto Rico in various mathematics content areas on the 2005 National Assessment of Educational Progress (NAEP) in mathematics. The NAEP mathematics assessment was administered to public school students in Puerto Rico for the first time in 2003. Although NAEP had…

Examining the Interactions between Mathematical Content and Pedagogical Form: Notes on the Structure of the Lesson

ERIC Educational Resources Information Center

Karp, Alexander

2004-01-01

Research conducted during the Trends in International Mathematics and Science Study (TIMSS) and later (Stigler et al. 1999; Stigler and Hiebert 1999) undertook a thorough analysis of lessons in the United States, Japan, and Germany. This article focuses on certain aspects of mathematics lessons in Russia. Specifically, the attempt is made to…

The Employment Equation: Why Our Young People Need More Maths for Today's Jobs

ERIC Educational Resources Information Center

Hodgen, Jeremy; Marks, Rachel

2013-01-01

This report reviews over 50 research studies to consider the level and type of mathematical skills needed by employers in today's economy. It considers five key questions: (1) What mathematics (level and content) is required in the workplace today?; (2) How and why have the mathematical needs of the workplace changed over time?; (3) In what ways…

Live Lectures or Online Videos: Students' Resource Choices in a First-Year University Mathematics Module

ERIC Educational Resources Information Center

Howard, Emma; Meehan, Maria; Parnell, Andrew

2018-01-01

In "Maths for Business", a mathematics module for non-mathematics specialists, students are given the choice of completing the module content via short online videos, live lectures or a combination of both. In this study, we identify students' specific usage patterns with both of these resources and discuss their reasons for the…

The Effects of the Flipped Model of Instruction on Student Engagement and Performance in the Secondary Mathematics Classroom

ERIC Educational Resources Information Center

Clark, Kevin R.

2015-01-01

In many of the secondary classrooms across the country, students are passively engaged in the mathematics content, and academic performance can be described, at best, as mediocre. This research study sought to bring about improvements in student engagement and performance in the secondary mathematics classroom through the implementation of the…

Research on the Development of Middle School Mathematics Pre-Service Teachers' Perceptions Regarding the Use of Technology in Teaching Mathematics

ERIC Educational Resources Information Center

Akkaya, Recai

2016-01-01

This study aimed to investigate the changes in teacher perceptions regarding the use of technology subsequent to the training about technology integration in mathematics teaching. A training program that included combined technology, pedagogy and content knowledge was prepared and implemented on pre-service teachers with this aim. Exploratory…

Secondary Pre-Service Teachers' Content Knowledge for State Assessments: Implications for Mathematics Education Programs

ERIC Educational Resources Information Center

Wilburne, Jane M.; Long, Michael

2010-01-01

Seventy secondary mathematics pre-service teachers from two universities were assessed on their content knowledge, vocabulary knowledge, and their perceived confidence in teaching the content addressed on the eleventh grade state assessment. The results indicate the pre-service teachers had significant content weakness in data analysis, algebra,…

Foundation Content Knowledge: Pre-Service Teachers as Half-Empty or Becoming Fluent?

ERIC Educational Resources Information Center

Anakin, Megan; Linsell, Chris

2014-01-01

The concept of a growth-oriented disposition framed the analysis of theoretical and practical dimensions of pre-service teachers' mathematics content knowledge. We identify historical hangovers, tacit habits, and pedagogical strangleholds that present challenges to the way mathematics education researchers interact with the mathematics content…

Maths Games: A Universal Design Approach to Mathematical Reasoning

ERIC Educational Resources Information Center

Buchheister, Kelley; Jackson, Christa; Taylor, Cynthia E.

2017-01-01

Providing students with an opportunity to explore mathematical content through games allows teachers to include tasks that: (1) present alternative representations of the content; (2) welcome various expressions of mathematical reasoning; and (3) incorporate variations that empower all students to engage in the problem solving process. Games not…

A Cognitive Theory Driven New Orientation of Indonesian Lessons

ERIC Educational Resources Information Center

Nowinska, Edyta

2014-01-01

The main focus of this design research was on students' mathematical thinking and skills and on their understanding of mathematical concepts and methods. The mathematical content our project starts with is the introduction of integers. For this content new learning environments have been developed, implemented and evaluated. An important question…

Examining Teachers' Understanding of the Mathematical Learning Progression through Vertical Articulation during Lesson Study

ERIC Educational Resources Information Center

Suh, Jennifer; Seshaiyer, Padmanabhan

2015-01-01

This study examines elementary- and middle-grade teachers' understanding of the mathematical learning progression as they participated in a 6-month professional learning project. Teachers participated in a professional development project that consisted of a 1-week summer content-focused institute with school-based follow-up Lesson Study cycles in…

ICT integration in mathematics initial teacher training and its impact on visualization: the case of GeoGebra

NASA Astrophysics Data System (ADS)

Dockendorff, Monika; Solar, Horacio

2018-01-01

This case study investigates the impact of the integration of information and communications technology (ICT) in mathematics visualization skills and initial teacher education programmes. It reports on the influence GeoGebra dynamic software use has on promoting mathematical learning at secondary school and on its impact on teachers' conceptions about teaching and learning mathematics. This paper describes how GeoGebra-based dynamic applets - designed and used in an exploratory manner - promote mathematical processes such as conjectures. It also refers to the changes prospective teachers experience regarding the relevance visual dynamic representations acquire in teaching mathematics. This study observes a shift in school routines when incorporating technology into the mathematics classroom. Visualization appears as a basic competence associated to key mathematical processes. Implications of an early integration of ICT in mathematics initial teacher training and its impact on developing technological pedagogical content knowledge (TPCK) are drawn.

Connection between Topic-Specific Teacher Knowledge and Student Performance in Lower Secondary School Mathematics

ERIC Educational Resources Information Center

Tchoshanov, Mourat; Quinones, Maria Cruz; Shakirova, Kadriya B.; Ibragimova, Elena N.; Shakirova, Liliana R.

2017-01-01

The interpretive cross-case study focused on the examination of connections between teacher and student topic-specific knowledge of lower secondary mathematics. Two teachers were selected for the study using non-probability purposive sampling technique. Teachers completed the Teacher Content Knowledge Survey before teaching a topic on division of…

Preservice Secondary Mathematics Teachers' Knowledge of Students

ERIC Educational Resources Information Center

Kilic, Hulya

2011-01-01

The aim of this paper is to present the nature of preservice secondary mathematics teachers' knowledge of students as emerged from a study investigating the development of their pedagogical content knowledge in a methods course and its associated field experience. Six preservice teachers participated in the study and the data were collected in the…

A Mathematics Teacher's Practice in a Technological Environment: A Case Study Analysis Using Two Complementary Theories

ERIC Educational Resources Information Center

Tabach, Michal

2011-01-01

Integrating technology in school mathematics has become more and more common. The teacher is a key person in integrating technology into everyday practice. To understand teacher practice in a technological environment, this study proposes using two theoretical perspectives: the theory of technological pedagogical content knowledge to analyze…

Students' Perceptions and Development of Conceptual Understanding Regarding Trigonometry and Trigonometric Function

ERIC Educational Resources Information Center

Cetin, Omer Faruk

2015-01-01

This study aims to analyse university level mathematics education students' perceptions on conceptual understanding of trigonometry and trigonometric functions and their content development of these concepts. A case study was conducted with 90 freshman students of Elementary Mathematics Department. The data were gathered via a scale; they included…

Developing the Irrational Beliefs in Mathematics Scale (IBIMS): A Validity and Reliability Study

ERIC Educational Resources Information Center

Kaya, Deniz

2017-01-01

The purpose of this study is developing a valid and reliable scale intended to determine the irrational beliefs of students in mathematics. The study was conducted with a study group consisting of 700 students in 2015-2016 academic year. Expert opinions were received for the content and face validity of the scale, and the Exploratory Factor…

Am I a Mathematics Teacher Who Teaches Middle Grades or a Middle Grades Teacher Who Teaches Mathematics? Untangling the Multiple Identities of Preservice Teachers

ERIC Educational Resources Information Center

Kasten, Sarah E.; Austin, Christopher; Jackson, Christa

2014-01-01

This article reports on a qualitative study that investigated the identities of preservice middle grades teachers preparing to teach mathematics as one of their chosen content areas. Data were collected using open response reflective prompts questionnaires with 68 preservice middle grades teachers at 3 south-central universities. Findings indicate…

College Science and Mathematics Teaching Faculty Talk about Science and Mathematics: An Examination of the Role of Discourse in an Upper Elementary/Middle-Level Teacher Preparation Program.

ERIC Educational Resources Information Center

McGinnis, J. Randy; Watanabe, Tad

This research employs a mixed theoretical perspective drawing on elements from interactionism and social constructivism. In this study, a discourse analysis is performed on conversations among intra- and inter-institutional mathematics and science teaching faculty participating in reforming content classes for teacher candidates in the Maryland…

The Effects of Emphasizing Mathematical Structural Properties in Teaching and of Reflective Intelligence on Four Selected Criteria. Technical Report 275.

ERIC Educational Resources Information Center

Jurdak, Murad Eid

The purposes of this study were: (1) to compare the effectiveness of two teaching methods having two distinct levels of emphasis on mathematical structure in organizing and presenting the same mathematical content, and (2) to identify the effect of the cognitive ability of reflective intelligence on four cognitive levels of learning a second-order…

Technology to Enhance Mathematics and Science Instruction: Changes in Teacher Perceptions after Participating in a Yearlong Professional Development Program

ERIC Educational Resources Information Center

Kersaint, Gladis; Ritzhaupt, Albert D.; Liu, Feng

2014-01-01

The purpose of this study is to examine the extent to which teachers of mathematics or science who were engaged in a year-long initiative to help them integrate technological tools were (a) familiar with generic and mathematics- or science-specific technology, (b) comfortable integrating generic and content-specific technology, (c) believe that…

The Relationship between State High School Exit Exams and Mathematical Proficiency: Analyses of the Complexity, Content, and Format of Items and Assessment Protocols

ERIC Educational Resources Information Center

Regan, Blake B.

2012-01-01

This study examined the relationship between high school exit exams and mathematical proficiency. With the No Child Left Behind (NCLB) Act requiring all students to be proficient in mathematics by 2014, it is imperative that high-stakes assessments accurately evaluate all aspects of student achievement, appropriately set the yardstick by which…

Pre-service science teachers' perceptions of mathematics courses in a science teacher education programme

NASA Astrophysics Data System (ADS)

Incikabi, Lutfi; Serin, Mehmet Koray

2017-08-01

Most science departments offer compulsory mathematics courses to their students with the expectation that students can apply their experience from the mathematics courses to other fields of study, including science. The current study first aims to investigate the views of pre-service science teachers of science-teaching preparation degrees and their expectations regarding the difficulty level of mathematics courses in science-teaching education programmes. Second, the study investigates changes and the reasons behind the changes in their interest regarding mathematics after completing these courses. Third, the current study seeks to reveal undergraduate science teachers' opinions regarding the contribution of undergraduate mathematics courses to their professional development. Being qualitative in nature, this study was a case study. According to the results, almost all of the students considered that undergraduate mathematics courses were 'difficult' because of the complex and intensive content of the courses and their poor background mathematical knowledge. Moreover, the majority of science undergraduates mentioned that mathematics would contribute to their professional development as a science teacher. On the other hand, they declared a negative change in their attitude towards mathematics after completing the mathematics courses due to continuous failure at mathematics and their teachers' lack of knowledge in terms of teaching mathematics.

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

ERIC Educational Resources Information Center

Henning, Elizabeth

2013-01-01

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

Classroom Stress Promotes Motivated Forgetting of Mathematics Knowledge

ERIC Educational Resources Information Center

Ramirez, Gerardo; McDonough, Ian M.; Jin, Ling

2017-01-01

The ability to retain educationally relevant content in a readily accessible state in memory is critical for students at all stages in schooling. We hypothesized that a high degree of stress in mathematics courses can threaten students' mathematics self-concept and lead to a motivation to forget course content. We tested the aforementioned…

Identifying Mathematics Content and Integrating It into Science Instruction

ERIC Educational Resources Information Center

Schwols, Amitra; Miller, Kirsten Brush

2012-01-01

Science teachers know that the mathematics concepts taught in the Common Core are critical for students' understanding of science. But what can a teacher do when his/her students lack the necessary mathematics skills to master science content? There may be other reasons besides students not paying attention in their math courses. Maybe the…

A Comparison between Mathematics Textbook Content and a Statewide Mathematics Proficiency Test.

ERIC Educational Resources Information Center

Chandler, Donald G.; Brosnan, Patricia A.

1995-01-01

Percentages of mathematics content for 7 text series, grades 1-8, were compared with percentages on the Ohio Ninth Grade Proficiency Test. Ratios of text:test percentages were arithmetic (63:30), measurement (10:25), geometry (12:15), data analysis (11:15), and algebra (4:15). Implications are discussed. (MSD)

A Comparative Analysis of Numbers and Biology Content Domains between Turkey and the USA

ERIC Educational Resources Information Center

Incikabi, Lutfi; Ozgelen, Sinan; Tjoe, Hartono

2012-01-01

This study aimed to compare Mathematics and Science programs focusing on TIMSS content domains of Numbers and Biology that produced the largest achievement gap among students from Turkey and the USA. Specifically, it utilized the content analysis method within Turkish and New York State (NYS) frameworks. The procedures of study included matching…

The Concept of Slope: Comparing Teachers' Concept Images and Instructional Content

ERIC Educational Resources Information Center

Nagle, Courtney; Moore-Russo, Deborah

2013-01-01

In the field of mathematics education, understanding teachers' content knowledge (Grossman, 1995; Hill, Sleep, Lewis, & Ball, 2007; Munby, Russell, & Martin, 2001) and studying the relationship between content knowledge and instructional decisions (Fennema & Franke, 1992; Raymond, 1997) are both crucial. Teachers need a robust…

Pre-service teachers' experiences teaching secondary mathematics in English-medium schools in Tanzania

NASA Astrophysics Data System (ADS)

Kasmer, Lisa

2013-09-01

In order to promote mathematical understanding among English Language Learners (ELLs), it is necessary to modify instructional strategies to effectively communicate mathematical content. This paper discusses the instructional strategies used by four pre-service teachers to teach mathematics to secondary students in English-medium schools in Arusha, Tanzania as a result of the tensions they faced and reflections on their teaching. Strategies such as code switching, attending to sentence structure, non-linguistic representations, and placing the content within a familiar context proved to be beneficial strategies for conveying mathematical ideas.

Using Mathematics Literature with Prospective Secondary Mathematics Teachers

ERIC Educational Resources Information Center

Jett, Christopher C.

2014-01-01

Literature in mathematics has been found to foster positive improvements in mathematics learning. This manuscript reports on a mathematics teacher educator's use of literature via literature circles with 11 prospective secondary mathematics teachers in a mathematics content course. Using survey and reflection data, the author found that…

Focusing on Challenging Content and Practical Applications in Science, Technology, Engineering and Mathematics (STEM) Studies in Middle Grades Schools, High Schools and Technology Centers.

ERIC Educational Resources Information Center

Southern Regional Education Board (SREB), 2012

2012-01-01

Schools that give students access to STEM (science, technology, engineering and mathematics) studies are accomplishing several objectives: introducing students to higher-level academic and career studies, expanding project-based learning in the curriculum, enticing students to remain in school until graduation, and preparing students for…

Student perceptions of writing projects in a university differential-equations course

NASA Astrophysics Data System (ADS)

Latulippe, Christine; Latulippe, Joe

2014-01-01

This qualitative study surveyed 102 differential-equations students in order to investigate how students participating in writing projects in university-level mathematics courses perceive the benefits of writing in the mathematics classroom. Based on previous literature on writing in mathematics, students were asked specifically about the benefits of writing projects as a means to explore practical uses of mathematics, deepen content knowledge, and strengthen communication. Student responses indicated an awareness of these benefits, supporting justifications commonly cited by instructors assigning writing projects. Open-ended survey responses highlighted additional themes which students associated with writing in mathematics, including using software programs and technology, working in groups, and stimulating interest in mathematics. This study provides student feedback to support the use of writing projects in mathematics, as well as student input, which can be utilized to strengthen the impact of writing projects in mathematics.

Developing a Scale to Measure Content Knowledge and Pedagogy Content Knowledge of In-Service Elementary Teachers on Fractions

ERIC Educational Resources Information Center

Kazemi, Farhad; Rafiepour, Abolfazl

2018-01-01

The main purpose of this study was to develop a scale for measuring content knowledge (CK) and pedagogy content knowledge (PCK) of in-service elementary teachers on mathematical fractions. Another aim of this study was to consider whether CK and PCK are separate from each other, or are in a single body. Therefore, a scale containing 22 items about…

Technological Pedagogical Content Knowledge of Prospective Mathematics Teacher in Three Dimensional Material Based on Sex Differences

NASA Astrophysics Data System (ADS)

Aqib, M. A.; Budiarto, M. T.; Wijayanti, P.

2018-01-01

The effectiveness of learning in this era can be seen from 3 factors such as: technology, content, and pedagogy that covered in Technological Pedagogical Content Knowledge (TPCK). This research was a qualitative research which aimed to describe each domain from TPCK include Content Knowledge, Pedagogical Knowledge, Pedagogical Content Knowledge, Technological Knowledge, Technological Content Knowledge, Technological Pedagogical Knowledge and Technological, Pedagogical, and Content Knowledge. The subjects of this research were male and female mathematics college students at least 5th semester who has almost the same ability for some course like innovative learning, innovative learning II, school mathematics I, school mathematics II, computer applications and instructional media. Research began by spreading the questionnaire of subject then continued with the assignment and interview. The obtained data was validated by time triangulation.This research has result that male and female prospective teacher was relatively same for Content Knowledge and Pedagogical Knowledge domain. While it was difference in the Technological Knowledge domain. The difference in this domain certainly has an impact on other domains that has technology components on it. Although it can be minimized by familiarizing the technology.

Teaching Discrete Mathematics Entirely from Primary Historical Sources

ERIC Educational Resources Information Center

Barnett, Janet Heine; Bezhanishvili, Guram; Lodder, Jerry; Pengelley, David

2016-01-01

We describe teaching an introductory discrete mathematics course entirely from student projects based on primary historical sources. We present case studies of four projects that cover the content of a one-semester course, and mention various other courses that we have taught with primary source projects.

Inhibiting Factors in Generating Examples by Mathematics Teachers and Student Teachers: The Case of Binary Operation.

ERIC Educational Resources Information Center

Zaslavsky, Orit; Peled, Irit

1996-01-01

Inservice (n=36) and preservice (n=67) mathematics teachers were asked for a commutative, nonassociative binary operation. Responses were analyzed for correctness, productiveness, mathematical content, and underlying difficulties. Both groups exhibited a weak concept by failing to produce an example and using a limited content search space.…

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

ERIC Educational Resources Information Center

Livy, Sharyn; Vale, Colleen

2011-01-01

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

Can Scientific Research Answer the "What" Question of Mathematics Education?

ERIC Educational Resources Information Center

van den Heuvel-Panhuizen, Marja

2005-01-01

This paper problematizes the issue of how decisions about the content of mathematics education can be made. After starting with two examples where research in mathematics education resulted in different choices on the content of primary school teaching, I explore where and how, in the scientific enterprise within the domain of education, issues of…

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

ERIC Educational Resources Information Center

Bair, Sherry L.; Rich, Beverly S.

2011-01-01

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

About the Complexities of Video-Based Assessments: Theoretical and Methodological Approaches to Overcoming Shortcomings of Research on Teachers' Competence

ERIC Educational Resources Information Center

Kaiser, Gabriele; Busse, Andreas; Hoth, Jessica; König, Johannes; Blömeke, Sigrid

2015-01-01

Research on the evaluation of the professional knowledge of mathematics teachers (comprising for example mathematical content knowledge, mathematics pedagogical content knowledge and general pedagogical knowledge) has become prominent in the last decade; however, the development of video-based assessment approaches is a more recent topic. This…

The Role of Subject-Matter Content in Teacher Preparation: An International Perspective for Mathematics

ERIC Educational Resources Information Center

Schmidt, William H.; Burroughs, Nathan A.; Cogan, Leland S.; Houang, Richard T.

2017-01-01

International comparative studies in education provide a fresh perspective on K-12 education policy by enabling countries to learn from each other's approaches. The recently conducted Teacher Education and Development Study--Mathematics provides a worldwide lens by which to examine the role of subject-matter in the preparation of US teachers of…

Knowing and Teaching Fractions: A Cross-Cultural Study of American and Chinese Mathematics Teachers

ERIC Educational Resources Information Center

Zhou, Zheng; Peverly, Stephen T.; Xin, Tao

2006-01-01

Guided by Shulman, 1986 and Shulman, 1987 tripartate model of teacher expertise [subject matter knowledge (SMK), pedagogical content knowledge (PCK), and general pedagogical knowledge (GPK)], the present study examined 162 U.S. and Chinese 3rd grade mathematics teachers' expertise in teaching fractions. Results show that U.S. teachers lag…

The Relationships among Mathematics Teaching Efficacy, Mathematics Self-Efficacy, and Mathematical Beliefs for Elementary Pre-Service Teachers

ERIC Educational Resources Information Center

Briley, Jason S.

2012-01-01

Ninety-five elementary pre-service teachers enrolled in a mathematics content course for elementary school teachers completed 3 surveys to measure mathematics teaching efficacy, mathematics self-efficacy, and mathematical beliefs. The pre-service teachers who reported stronger beliefs in their capabilities to teach mathematics effectively were…

Forschung Zum Prozess des Mathematiklernens. Reihe: Materialien und Studien, Band 2. (Research on the Process of Mathematics Learning. Series: Materials and Studies, Volume 2.)

ERIC Educational Resources Information Center

Bielefeld Univ. (West Germany).

The ten papers in this document were developed for a meeting prepared for the Third International Congress on Mathematical Education. Each paper is concerned with research from 1970-1975 related to the mathematical learning process. The first paper describes projects conducted in England on both content and process learning. The second paper…

Smart Girls, Black Girls, Mean Girls, and Bullies: At the Intersection of Identities and the Mediating Role of Young Girls' Social Network in Mathematical Communities of Practice

ERIC Educational Resources Information Center

Gholson, Maisie; Martin, Danny B.

2014-01-01

By taking an intersectional and emic view to studying a group of African American girls in a third-grade class, we attempted to capture the complexity of mathematics learning for these girls. Traditionally, children's social networks in school are framed as external to mathematics content learning. Our preliminary analyses of student interviews…

Writing in Math: A Disciplinary Literacy Approach

ERIC Educational Resources Information Center

Brozo, William G.; Crain, Sarah

2018-01-01

Mathematics teachers often resist generic literacy strategies because they do not seem relevant to math learning. Discipline-specific literacy practices that emerge directly from the math content and processes under study are more likely to be embraced by math teachers. Furthermore, national and state-level mathematics standards as well as Common…

Project-Based Learning to Explore Taxicab Geometry

ERIC Educational Resources Information Center

Ada, Tuba; Kurtulus, Aytac

2012-01-01

In Turkey, the content of the geometry course in the Primary School Mathematics Education, which is developed by The Council of Higher Education (YOK), comprises Euclidean and non-Euclidean types of geometry. In this study, primary mathematics teacher candidates compared these two geometries by focusing on Taxicab geometry among non-Euclidean…

Characterising the Perceived Value of Mathematics Educational Apps in Preservice Teachers

ERIC Educational Resources Information Center

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

2016-01-01

This study validated the semantic items of three related scales aimed at characterising the perceived worth of mathematics-education-related mobile applications (apps). The technological pedagogical content knowledge (TPACK) model was used as the conceptual framework for the analysis. Three hundred and seventy-three preservice students studying…

Establishing a Professional Learning Community among Middle School Mathematics Teachers

ERIC Educational Resources Information Center

Koellner-Clark, Karen; Borko, Hilda

2004-01-01

The paper examines how community was established in a professional development institute that focused on algebra content knowledge for middle school mathematics teachers. This qualitative study was framed within a situative perspective. We analyzed multiple data sources to identify the ways in which community was established. Results indicate…

Analyzing Mathematical Tasks: A Catalyst for Change?

ERIC Educational Resources Information Center

Arbaugh, Fran; Brown, Catherine A.

2005-01-01

In this study we investigate a strategy for engaging high school mathematics teachers in an "initial" examination of their teaching in a way that is nonthreatening and at the same time effectively supports the development of teachers' pedagogical content knowledge [Shulman (1986). "Educational Researcher," 15(2), 4-14]. Based on the work…

Pre-Service Teacher Training on Game-Enhanced Mathematics Teaching and Learning

ERIC Educational Resources Information Center

Meletiou-Mavrotheris, Maria; Prodromou, Theodosia

2016-01-01

The paper reports the main insights from a study aimed at equipping a group of pre-service teachers with the knowledge, skills, and practical experience required to effectively integrate educational games within the mathematics curriculum. An instructional intervention based on the Technological Pedagogical and Content Knowledge framework was…

A Study of Strengthening Secondary Mathematics Teachers' Knowledge of Statistics and Probability via Professional Development

ERIC Educational Resources Information Center

DeVaul, Lina

2017-01-01

A professional development program (PSPD) was implemented to improve in-service secondary mathematics teachers' content knowledge, pedagogical knowledge, and self-efficacy in teaching secondary school statistics and probability. Participants generated a teaching resource website at the conclusion of the PSPD program. Participants' content…

Traditional vs. Innovative Uses of Computers among Mathematics Pre-Service Teachers in Serbia

ERIC Educational Resources Information Center

Teo, Timothy; Milutinovic, Verica; Zhou, Mingming; Bankovic, Dragic

2017-01-01

This study examined pre-service teachers' intentions to use computers in traditional and innovative teaching practices in primary mathematics classrooms. It extended the technology acceptance model (TAM) by adding as external variables pre-service teachers' experience with computers and their technological pedagogical content knowledge (TPCK).…

Developing Distinct Mathematical and Scientific Pedagogical Content Knowledge in an Early Childhood Dual-Content Methods Course: An Alternative to Integration

ERIC Educational Resources Information Center

Kalchman, Mindy; Kozoll, Richard H.

2017-01-01

Methods for teaching early childhood mathematics and science are often addressed in a single, dual-content course. Approaches to teaching this type of course include integrating the content and the pedagogy of both subjects, or keeping the subject areas distinct. In this article, the authors discuss and illustrate their approach to such a combined…

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

ERIC Educational Resources Information Center

Moyer-Packenham, Patricia S.; Westenskow, Arla

2012-01-01

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

How Should Fifth-Grade Mathematics Teachers Start the School Year?: Relations between Teacher-Student Interactions and Mathematics Instruction over One Year

ERIC Educational Resources Information Center

Banse, Holland W.; Curby, Timothy W.; Palacios, Natalia A.; Rimm-Kaufman, Sara E.

2018-01-01

Background: Teaching is comprised of interconnected practices. Some practices are domain neutral (DN), or independent of a content area. Examples of DN practices include emotional and instructional support and classroom organization. Others are domain specific (DS), or content dependent. Within a mathematics context, examples of DS practices…

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

ERIC Educational Resources Information Center

Cagirgan Gulten, Dilek

2013-01-01

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

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

PubMed Central

2010-01-01

Biological problems in the twenty-first century are complex and require mathematical insight, often resulting in mathematical models of biological systems. Building mathematical–biological models requires cooperation among biologists and mathematicians, and mastery of building models. A new course in mathematical modeling presented the opportunity to build both content and process learning of mathematical models, the modeling process, and the cooperative process. There was little guidance from the literature on how to build such a course. Here, I describe the iterative process of developing such a course, beginning with objectives and choosing content and process competencies to fulfill the objectives. I include some inductive heuristics for instructors seeking guidance in planning and developing their own courses, and I illustrate with a description of one instructional model cycle. Students completing this class reported gains in learning of modeling content, the modeling process, and cooperative skills. Student content and process mastery increased, as assessed on several objective-driven metrics in many types of assessments. PMID:20810966

Examining the Effects of the Flipped Model of Instruction on Student Engagement and Performance in the Secondary Mathematics Classroom: An Action Research Study

ERIC Educational Resources Information Center

Clark, Kevin R.

2013-01-01

In many of the secondary classrooms across the country, including the research site for this study, students are passively engaged in the mathematics content, and academic performance can be described, at best, as mediocre. This action research study sought to bring about improvements in student engagement and performance in the secondary…

Finite Mathematics and Discrete Mathematics: Is There a Difference?

ERIC Educational Resources Information Center

Johnson, Marvin L.

Discrete mathematics and finite mathematics differ in a number of ways. First, finite mathematics has a longer history and is therefore more stable in terms of course content. Finite mathematics courses emphasize certain particular mathematical tools which are useful in solving the problems of business and the social sciences. Discrete mathematics…

Investigating Correspondence between Language Proficiency Standards and Academic Content Standards: A Generalizability Theory Study

ERIC Educational Resources Information Center

Lin, Chih-Kai; Zhang, Jinming

2014-01-01

Research on the relationship between English language proficiency standards and academic content standards serves to provide information about the extent to which English language learners (ELLs) are expected to encounter academic language use that facilitates their content learning, such as in mathematics and science. Standards-to-standards…

Testing Expert-Based versus Student-Based Cognitive Models for a Grade 3 Diagnostic Mathematics Assessment

ERIC Educational Resources Information Center

Roduta Roberts, Mary; Alves, Cecilia B.; Chu, Man-Wai; Thompson, Margaret; Bahry, Louise M.; Gotzmann, Andrea

2014-01-01

The purpose of this study was to evaluate the adequacy of three cognitive models, one developed by content experts and two generated from student verbal reports for explaining examinee performance on a grade 3 diagnostic mathematics test. For this study, the items were developed to directly measure the attributes in the cognitive model. The…

The Nature of Argumentation in School Mathematics and Physics Texts: The Case of Periodicity

ERIC Educational Resources Information Center

Triantafillou, Chrissavgi; Spiliotopoulou, Vasiliki; Potari, Despina

2016-01-01

The present study explores reasoning and argumentation in Greek mathematics and physics texts in specific topics related to the notion of periodicity. In our study, argumentation is taken as the sequence of the modes of reasoning (MsoR) that an author develops in a text when organizing and presenting new knowledge. Inductive content analysis was…

Designing PISA-Like Mathematics Tasks In Indonesia: Experiences and Challenges

NASA Astrophysics Data System (ADS)

Zulkardi, Z.; Kohar, A. W.

2018-01-01

The insignificant improvement of Indonesian students in PISA mathematics survey triggered researchers in Indonesia to develop PISA-like mathematics tasks. Some development studies have been conducted to produce valid and practical PISA-like problems that potentially effect on improving students’ mathematical literacy. This article describes the experiences of Indonesian task designers in developing PISA-like mathematics tasks as well as the potential future studies regarding to mathematical literacy as challenges for policy makers, researchers, and practitioners to improve students’ mathematical literacy in Indonesia. The results of this research indicate the task designers to consider domains of PISA like: context, mathematical content, and process as the first profiles of their missions. Our analysis shows that the designers mostly experienced difficulties regarding to the authenticity of context use and language structure. Interestingly, many of them used a variety of local wisdom in Indonesia as contexts for designing PISA-like tasks. In addition, the products developed were reported to be potentially effects on students’ interest and elicit students’ mathematical competencies as mentioned in PISA framework. Finally, this paper discusses future studies such as issues in bringing PISA task into an instructional practice.

SQUARE ONE TV Content Analysis and Show Rundowns through Season Four.

ERIC Educational Resources Information Center

Schneider, Joel; And Others

This report summarizes the mathematical and pedagogical content of the SQUARE ONE TV library after four seasons of production, relating that content to the series' three goals: (1) to promote positive attitudes toward, and enthusiasm for, mathematics; (2) to encourage the use and application of problem-solving processes; and (3) to present sound…

Orientations toward Mathematical Processes of Prospective Secondary Mathematics Teachers as Related to Work with Tasks

ERIC Educational Resources Information Center

Cannon, Tenille

2016-01-01

Mathematics can be conceptualized in different ways. Policy documents such as the National Council of Teachers of Mathematics (NCTM) (2000) and the Common Core State Standards Initiative (CCSSI) (2010), classify mathematics in terms of mathematical content (e.g., quadratic functions, Pythagorean theorem) and mathematical activity in the form of…

The Effects of Digital Learning Material on Students' Mathematics Learning in Vocational Education

ERIC Educational Resources Information Center

Zwart, Diana P.; Van Luit, Johannes E. H.; Noroozi, Omid; Goei, Sui Lin

2017-01-01

This study investigates the effects of Digital Learning Material (DLM) including instructional clips, online guidance, structuring of content, and a collaboration tool on students' mathematics learning in Dutch vocational education. A pretest-posttest design was used. Apprenticeship students were asked to complete assignments and to discuss them…

A Case Study of Dilemmas Encountered When Connecting Middle School Mathematics Instruction to Relevant Real World Examples

ERIC Educational Resources Information Center

Sugimoto, Amanda T.; Turner, Erin E.; Stoehr, Kathleen J.

2017-01-01

The pedagogical practice of connecting mathematical content to real world contexts, particularly contexts relevant to students' knowledge and experiences, can positively impact student motivation as well as promote conceptual understanding. However, little is known about how middle school teachers actually make relevant world connections, and more…

Supporting Kindergarten Teachers' Mathematics Instruction and Student Achievement through a Curriculum-Based Professional Development Program

ERIC Educational Resources Information Center

Polly, Drew; Wang, Chuang; Lambert, Richard; Martin, Christie; McGee, Jennifer Richardson; Pugalee, David; Lehew, Amy

2017-01-01

This study investigates the impacts of a year-long professional development program on Kindergarten teachers' beliefs and practices and the association of these changes with student achievement in mathematics measured by curriculum-based instruments. Although teacher content knowledge was not statistically significantly different before and after…

Knowing and Teaching Middle School Mathematics: A Professional Development Course for In-Service Teachers

ERIC Educational Resources Information Center

Anderson, Celia Rousseau; Hoffmeister, April M.

2007-01-01

This article describes a professional development course intended to improve the content understanding of middle school mathematics teachers. The design of the course included three professional learning strategies: problem solving, examination of student thinking, and discussion of research. The concepts studied in the course included multi-digit…

Procedural versus Content-Related Hints for Word Problem Solving: An Exploratory Study

ERIC Educational Resources Information Center

Kock, W. D.; Harskamp, E. G.

2016-01-01

For primary school students, mathematical word problems are often more difficult to solve than straightforward number problems. Word problems require reading and analysis skills, and in order to explain their situational contexts, the proper mathematical knowledge and number operations have to be selected. To improve students' ability in solving…

The Characterization of Cognitive Processes Involved in Chemical Kinetics Using a Blended Processing Framework

ERIC Educational Resources Information Center

Bain, Kinsey; Rodriguez, Jon-Marc G.; Moon, Alena; Towns, Marcy H.

2018-01-01

Chemical kinetics is a highly quantitative content area that involves the use of multiple mathematical representations to model processes and is a context that is under-investigated in the literature. This qualitative study explored undergraduate student integration of chemistry and mathematics during problem solving in the context of chemical…

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

ERIC Educational Resources Information Center

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

2015-01-01

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

Implementing a Flipped Classroom Approach in a University Numerical Methods Mathematics Course

ERIC Educational Resources Information Center

Johnston, Barbara M.

2017-01-01

This paper describes and analyses the implementation of a "flipped classroom" approach, in an undergraduate mathematics course on numerical methods. The approach replaced all the lecture contents by instructor-made videos and was implemented in the consecutive years 2014 and 2015. The sequential case study presented here begins with an…

Pre-Service Teachers' Beliefs about Knowledge, Mathematics, and Science

ERIC Educational Resources Information Center

Cady, Jo Ann; Rearden, Kristin

2007-01-01

This study examines the beliefs of K-8 preservice teachers during a content methods course. The goals of this course included exposing the preservice teachers to student-centered instructional methods for math and science and encouraging the development of lessons that would integrate mathematics and science. Prior research suggested that one must…

Maple (Computer Algebra System) in Teaching Pre-Calculus: Example of Absolute Value Function

ERIC Educational Resources Information Center

Tuluk, Güler

2014-01-01

Modules in Computer Algebra Systems (CAS) make Mathematics interesting and easy to understand. The present study focused on the implementation of the algebraic, tabular (numerical), and graphical approaches used for the construction of the concept of absolute value function in teaching mathematical content knowledge along with Maple 9. The study…

Recent Research on Number Learning.

ERIC Educational Resources Information Center

Kieren, Thomas E., Ed.

Presented are materials related to the work of the Number and Measure and Rational Numbers working group of the Georgia Center for the Study of the Learning and Teaching of Mathematics. Much of the content reports on attempts to bring constructs from developmental psychology and mathematics to bear in understanding children's ideas of number and…

Learning Mathematics via a Problem-Centered Approach: A Two-Year Study

ERIC Educational Resources Information Center

Ridlon, Candice L.

2009-01-01

For nine-week periods during two consecutive years, sixth-grade students at the same school were taught identical mathematics content using two different instructional approaches. Year 1 involved low achievers, whereas Year 2 was mixed ability students. The experimental treatment was a problem-centered approach (PCL) where potentially meaningful…

Elementary School Teachers' Uses of Mathematics Curricular Resources

ERIC Educational Resources Information Center

Polly, Drew

2017-01-01

With the adoption of new content standards, teachers are often left without adequate curriculum resources. This study examined how educators used their curricular resources to teach new mathematics standards in the USA. Analyses of open-ended survey responses from 257 teachers and teacher-leaders in Grades 3 through Grade 5 indicated that every…

Preliminary Findings from a Multi-Year Scale-Up Effectiveness Trial of Everyday Mathematics

ERIC Educational Resources Information Center

Vaden-Kiernan, Michael; Borman, Geoffrey; Caverly, Sarah; Bell, Nance; Ruiz de Castilla, Veronica; Sullivan, Kate

2015-01-01

Given the importance of early mathematics instruction and curricula for preventing mathematics difficulties in later grades, it is necessary to identify effective mathematics curricula and instruction to ensure that children become proficient in early mathematics content and procedures. Everyday Mathematics (EM), was reviewed by the What Works…

Using Mathematics in Science: Working with Your Mathematics Department

ERIC Educational Resources Information Center

Lyon, Steve

2014-01-01

Changes to the mathematics and science curriculums are designed to increase rigour in mathematics, and place greater emphasis on mathematical content in science subjects at key stages 3, 4 and 5 (ages 11-18). One way to meet the growing challenge of providing increased emphasis on mathematics in the science curriculum is greater collaboration…

Assessment Guide for Educators: A Content Comparison--2002 Series Test and the Current GED® Test

ERIC Educational Resources Information Center

GED Testing Service, 2017

2017-01-01

This report provides a content comparison for the 2002 Series GED® test and the current GED® for the following test topic areas: (1) Mathematical Reasoning; (2) Reasoning through Language Arts; (3) Science; and (4) Social Studies.

Using an Augmented Reality Enhanced Tabletop System to Promote Learning of Mathematics: A Case Study with Students with Special Educational Needs

ERIC Educational Resources Information Center

Cascales-Martínez, Antonia; Martínez-Segura, María-José; Pérez-López, David; Contero, Manuel

2017-01-01

The main objective of this research is to determine the feasibility of using a multi touch tabletop system for applied mathematics learning in primary education with students with special needs (SEN). The instructional content designed on the tabletop focuses on understanding and managing money, coins, and banknotes. The study also analyzes the…

Exploring the Reasons for Using Electric Books and Technologic Pedagogical and Content Knowledge of Taiwanese Elementary Mathematics and Science Teachers

ERIC Educational Resources Information Center

Chen, Ho-Yuan; Jang, Syh-Jong

2013-01-01

This study highlights trends and features of E-books and their versatility of this tool in elementary educational settings. There has been little quantitative research employed to examine teachers' reasons for using or not using E-books. The purpose of this study was to examine elementary school mathematics and science teachers' reasons for using…

What Role for Developmental Theories in Mathematics Study Programmes in French-Speaking Belgium? An Analysis of the Geometry Curriculum's Aspects, Framed by Van Hiele's Model

ERIC Educational Resources Information Center

Duroisin, Natacha; Demeuse, Marc

2015-01-01

One possible way of evaluating set curricula is to examine the consistency of study programmes with students' psycho-cognitive development. Three theories were used to evaluate matching between developmental theories and content proposed in the mathematics programmes (geometry section) for primary and the beginning of secondary education. These…

Effect on E-Content Learning Package in Mathematics Education for the Prospective Teachers

ERIC Educational Resources Information Center

Joan, D. R. Robert

2013-01-01

E-content learning package will progress the learning process of students in formal or informal setting. It allows us to sort out the information to analyse and make meaning for conceptualization and applications which is suitable for individual learners. The objectives of the study was to measure the effectiveness of the E-content learning…

Focusing on Mathematical Knowledge: The Impact of Content-Intensive Teacher Professional Development. NCEE 2016-4010

ERIC Educational Resources Information Center

Garet, Michael S.; Heppen, Jessica B.; Walters, Kirk; Parkinson, Julia; Smith, Toni M.; Song, Mengli; Garrett, Rachel; Yang, Rui; Borman, Geoffrey D.

2016-01-01

This report examines the impact of content-intensive Professional Development (PD) on teachers' math content knowledge, their instructional practice, and their students' achievement. The study's PD had three components, totaling 93 hours. The core of the PD was "Intel Math," an intensive 80-hour workshop delivered in summer 2013 that…

Graduate Teaching Assistants' Enactment of Reasoning-and-Proving Tasks in a Content Course for Elementary Teachers

ERIC Educational Resources Information Center

Rogers, Kimberly Cervello; Steele, Michael D.

2016-01-01

Graduate teaching assistants serve as instructors of record for numerous undergraduate courses every semester, including serving as teachers for mathematics content courses for elementary preservice teachers. In this study, we examine 6 teaching assistants' teaching practices in the context of a geometry content course for preservice teachers by…

Pre-K Mathematics. What Works Clearinghouse Intervention Report

ERIC Educational Resources Information Center

What Works Clearinghouse, 2007

2007-01-01

"Pre-K Mathematics" is a supplemental curriculum designed to develop informal mathematical knowledge and skills in preschool children. Mathematical content is organized into seven units. Specific mathematical concepts and skills from each unit are taught in the classroom through teacher-guided, small-group activities with concrete…

Investigating the Relevance and Importance of Mathematical Content Knowledge Areas for Beginning Elementary School Teachers. Research Memorandum No. RM-16-10

ERIC Educational Resources Information Center

Martin-Raugh, Michelle P.; Reese, Clyde M.; Howell, Heather; Tannenbaum, Richard J.; Steinberg, Jonathan H.; Xu, Jun

2016-01-01

The purpose of this report is to explore the content-related validity evidence supporting the mathematics components of the "ETS"® National Observational Teaching Exam (NOTE) assessment series, a kindergarten through 6th grade teacher licensure assessment. To establish the content knowledge required for the effective teaching of…

Mathematically precocious and female: Self-efficacy and STEM course choices among high achieving middle grade students

NASA Astrophysics Data System (ADS)

Burt, Stacey M.

The problem addressed in this project is the lack of mathematically gifted females choosing to pursue advanced science, technology, engineering, and mathematics (STEM) courses in secondary education due to deficiencies in self-efficacy. The purpose of this project was to study the effects of a child-guided robotics program as it relates to the self-efficacy of mathematically gifted 6th grade female students and their future course choices in the advanced STEM content areas. This mixed-model study utilized a STEM attitude survey, artifacts, interviews, field notes, and standardized tests as measurement tools. Significance was found between genders in the treatment group for the standardized science scores, indicating closure in the achievement gap. Research suggests that STEM enrichment is beneficial for mathematically gifted females.

Connecting Mathematics and Writing Workshop: It's Kinda like Ice Skating

ERIC Educational Resources Information Center

Carter, Susan

2009-01-01

Second-grade students struggle with writing about mathematical topics during math class, so the teacher begins to integrate mathematical topics into their Writing Workshop. Content journals are used during math, and students are encouraged to write about personal connections to mathematical situations, as well as incorporate mathematical concepts…

Asynchronous Discourse in a Web-Assisted Mathematics Education Course

ERIC Educational Resources Information Center

Li, Zhongxiao

2009-01-01

Fall term of 2006, a web-assisted undergraduate mathematics course was taught at the University of Idaho: Math 235 Mathematics for Elementary Teachers I. The course goals were: To foster a deep understanding of critical mathematical content; and to promote the development of mathematical communication and collaboration concepts, skills, and…

Deepening Pre-Service Secondary Teachers' Mathematical Content Knowledge through Engaging with Peers' Mathematical Contributions

ERIC Educational Resources Information Center

Pournara, C.

2016-01-01

Depth and rigour in mathematical knowledge for pre-service secondary school mathematics teachers may be found in particular experiences of learning and doing school-level mathematics. Drawing on two cases from a course on financial mathematics for secondary school teachers, I illustrate opportunities for exploring compound and exponential growth.…

Contextual Teaching and Learning Approach of Mathematics in Primary Schools

NASA Astrophysics Data System (ADS)

Selvianiresa, D.; Prabawanto, S.

2017-09-01

The Contextual Teaching and Learning (CTL) approach is an approach involving active students in the learning process to discover the concepts learned through to knowledge and experience of the students. Similar to Piaget’s opinion that learning gives students an actives trying to do new things by relating their experiences and building their own minds. When students to connecting mathematics with real life, then students can looking between a conceptual to be learned with a concept that has been studied. So that, students can developing of mathematical connection ability. This research is quasi experiment with a primary school in the city of Kuningan. The result showed that CTL learning can be successful, when learning used a collaborative interaction with students, a high level of activity in the lesson, a connection to real-world contexts, and an integration of science content with other content and skill areas. Therefore, CTL learning can be applied by techer to mathematics learning in primary schools.

How Does the Hawaii High School Assessment Measure Up? A Comparison of the 2005 Grade 10 Hawaii State Assessment in Reading and Mathematics with High School Graduation Exams from Other States

ERIC Educational Resources Information Center

Achieve, Inc., 2007

2007-01-01

At the request of the Hawaii Department of Education, Achieve conducted a study of Hawaii's 2005 grade 10 State Assessment in reading and mathematics. The study compared the content, rigor and passing (meets proficiency) scores on Hawaii's assessment with those of the six states that participated in Achieve's earlier study, "Do Graduation…

The Adoption of Variation Theory in the Classroom: Effect on Students' Algebraic Achievement and Motivation to Learn

ERIC Educational Resources Information Center

Ting, Jing Jing; Tarmizi, Rohani Tarmizi; Bakar, Kamariah Abu; Aralas, Dalia

2017-01-01

Introduction: Analysis of lessons held in East Asia regions that perform well in Trends in International Mathematics and Science Studies such as; South Korea, Hong Kong and Japan, demonstrated teachers in mathematics classroom enacted features of the content systematically with consideration of variation within students' capabilities. Recent…

Analysis the Competences and Contents of "Mathematics and Environmental Exploration" Subject Syllabus for Preparatory Grade

ERIC Educational Resources Information Center

Dulama, Maria Eliza; Magda?, Ioana

2014-01-01

In this paper, we analyze some aspects related to "Mathematics and Environmental Exploration" subject syllabus for preparatory grade approved by Minister of National Education of Romania. The analysis aim the place of the subject syllabus into the Framework Plan; the syllabus structure and the argumentation of studying this subject; the…

Specialised Content Knowledge: Evidence of Pre-Service Teachers' Appraisal of Student Errors in Proportional Reasoning

ERIC Educational Resources Information Center

Chinnappan, Mohan; White, Bruce

2015-01-01

That the quality of teachers' knowledge has direct impact on students' engagement and learning outcomes in mathematics is now well established. But questions about the nature of this knowledge and how to characterise that knowledge are important for mathematics educators. In the present study, we examine a strand of "Specialised Content…

Preliminary Findings from the First Two Waves of a Panel Study of Developing Career Expectations.

ERIC Educational Resources Information Center

Hotchkiss, Lawrence; Chiteji, Lisa

This report is an exploratory application of a dynamic mathematical model to express a theory of changes in youth's career expectations over time. Main content is divided into two focuses: (1) theoretical interpretations of the differential equations which embody the mathematical model and (2) reporting and discussion of the results of preliminary…

When the Fractional Cookie Begins to Crumble: Conceptual Understanding of Fractions in the Fifth Grade

ERIC Educational Resources Information Center

Eichhorn, Melinda S.

2018-01-01

When teachers conduct a universal screening in mathematics, they identify students who are struggling with mathematical content and adjust their instruction. In this mixed-methods study in Kolkata, India, teachers piloted a screening tool at the beginning of the academic year in 5th grade to determine students' (n = 171) understanding of…

Interdisciplinary Working Practices: Can Creative Dance Improve Math?

ERIC Educational Resources Information Center

Leandro, Cristina Rebelo; Monteiro, Elisabete; Melo, Filipe

2018-01-01

This study is integrated in the field of Dance in Education, focusing on the instrumentalist aspect of art. We focused on creative dance as a catalyst to learn Mathematics' contents. This interdisciplinary work can enhance the learning, as far as the understanding of Mathematics' concepts is achieved through the body and revealed by expressive and…

Teacher Learning in a Mathematics and Science Inquiry Professional Development Program: First Steps in Emergent Teacher Leadership

ERIC Educational Resources Information Center

Yow, Jan A.; Lotter, Christine

2016-01-01

This study investigates the role of an inquiry professional development institute in empowering middle school mathematics and science teachers to develop as teacher leaders. Teachers and coaches jointly attended content sessions and participated in practice teaching sessions with students. The coaches led reflection sessions following the practice…

Building Content and Communities: Developing a Shared Sense of Early Childhood Mathematics Pedagogy

ERIC Educational Resources Information Center

Linder, Sandra M.

2012-01-01

This article presents results from a case study analyzing the process of change for early childhood educators as they engage in a semester-long professional development (PD) experience focused on developing a teacher research agenda related to mathematics instruction. During this PD experience, 11 participants (5 second-grade and 6 third-grade…

How Reform Curricula in the USA and Korea Present Multiplication and Division of Fractions

ERIC Educational Resources Information Center

Son, Ji-Won; Senk, Sharon L.

2010-01-01

In order to give insights into cross-national differences in schooling, this study analyzed the development of multiplication and division of fractions in two curricula: "Everyday Mathematics" (EM) from the USA and the 7th Korean mathematics curriculum (KM). Analyses of both the content and problems in the textbooks indicate that…

From Isolation to Interaction? Network-Based Professional Development and Teacher Professional Communication.

ERIC Educational Resources Information Center

McMahon, Teresa A.

The Mathematics Learning Forums, a collaborative effort of Bank Street College and the Center for Children and Technology, Education Development Center, Inc., provided the primary research setting for this study. Each 8-week forum focuses on specific elements of a mathematics content area and is designed to address both student learning and…

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

ERIC Educational Resources Information Center

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

2013-01-01

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

"Muddying the Clear Waters": Teachers' Take-up of the Linguistic Idea of Revoicing

ERIC Educational Resources Information Center

Herbel-Eisenmann, Beth; Drake, Corey; Cirillo, Michelle

2009-01-01

This article examines a collaborative study group's discussions about "revoicing," an idea from linguistics that has been identified as an important discourse strategy in the teaching of mathematics as well as other content areas. This group, made up of eight middle grades (grades 6-10) mathematics teacher-researchers (TRs), one university…

An Assessment-for-Learning System in Mathematics for Individuals with Visual Impairments

ERIC Educational Resources Information Center

Hansen, Eric G.; Shute, Valerie J.; Landau, Steven

2010-01-01

This study examined the usability of an assessment-for-learning (AfL) system that provides audio-tactile graphics for algebra content (geometric sequences) for individuals with visual impairments--two who are blind and two with low vision. It found that the system is generally usable as a mathematics AfL system. (Contains 4 tables.)

Characterising the perceived value of mathematics educational apps in preservice teachers

NASA Astrophysics Data System (ADS)

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

2016-03-01

This study validated the semantic items of three related scales aimed at characterising the perceived worth of mathematics-education-related mobile applications (apps). The technological pedagogical content knowledge (TPACK) model was used as the conceptual framework for the analysis. Three hundred and seventy-three preservice students studying primary school education from two public and one private Australian universities participated in the study. The respondents examined three different apps using a purposively designed instrument in regard to either their explorative, productive or instructive instructional role. While construct validity could not be established due to a broad range of variability in responses implying a high degree of subjectivity in respondents' judgments, the qualitative analysis was effective in establishing content validity.

The transformation of primary school science and mathematics: A cross-national analysis, 1900-1995

NASA Astrophysics Data System (ADS)

McEneaney, Elizabeth H.

1998-12-01

The global rise of the liberal individualist polity produces several broad cultural changes that influence the content of mass educational curricula, and that do so on a worldwide basis. First, there is a dramatic broadening of the range of persons constituted as actors, so that subjects such as science are seen as relevant for everyone. Second, the cultural domain of science and mathematics expands so that they are understood to provide solutions to personal and societal problems of all kinds. A critical tension arises, however, since science also becomes increasingly differentiated, such that expertise becomes defined in ever-narrower fields. I argue that these global cultural changes transform the content and style of primary science and mathematics textbooks. World-polity theory guides the interpretation of a content analysis of upper elementary level textbooks from over 50 nations, published between 1900 and 1995. Science textbooks become much more participatory in their orientations over the course of the century, fully incorporating individual actors (with large increases, for example, in the inclusion of girls and women) and hands-on activities. School science also becomes more culturally accessible through an emphasis on personal relevance and humor or fun. Thus, science is portrayed as a truly human endeavor rather than as a body of knowledge unsullied by human experience. The trends are similar, though somewhat more muted, for mathematics. At the same time, the study shows that school science and mathematics retain a significant emphasis on disciplinary expertise, reflecting the increasingly specialized and technocratic nature of science. Multivariate statistical analyses support the claim that the construction of modern curricular materials such as textbooks is highly sensitive to various kinds of organizational, cultural, and professional linkages to world society. This helps explain why the data show that changes tend to be worldwide. In contrast, characteristics of individual nation-states tend to be relatively weak correlates of textbook content. I argue that the trends shown in science and mathematics are most accurately seen as part of a wider shift in curricular content, cutting across all subject areas and extending through university-level curricula.

Increasing Your Mathematics and Science Content Knowledge.

ERIC Educational Resources Information Center

Thorson, Annette, Ed.

2002-01-01

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

The Development of Statistical Literacy Skills in the Eighth Grade: Exploring the TIMSS Data to Evaluate Student Achievement and Teacher Characteristics in the United States

ERIC Educational Resources Information Center

Mills, Jamie D.; Holloway, Charles E.

2013-01-01

This study investigated the relationship between student achievement in statistics and factors at the student and teacher/classroom levels using the US 8th-grade Data and Chance content domain from the Trends in International Mathematics and Science Study, 2007 (TIMSS, 2007). Using variables that have been linked to mathematics and statistics…

Virtual Visualisation Laboratory for Science and Mathematics Content (Vlab-SMC) with Special Reference to Teaching and Learning of Chemistry

NASA Astrophysics Data System (ADS)

Badioze Zaman, Halimah; Bakar, Norashiken; Ahmad, Azlina; Sulaiman, Riza; Arshad, Haslina; Mohd. Yatim, Nor Faezah

Research on the teaching of science and mathematics in schools and universities have shown that available teaching models are not effective in instilling the understanding of scientific and mathematics concepts, and the right scientific and mathematics skills required for learners to become good future scientists (mathematicians included). The extensive development of new technologies has a marked influence on education, by facilitating the design of new learning and teaching materials, that can improve the attitude of learners towards Science and Mathematics and the plausibility of advanced interactive, personalised learning process. The usefulness of the computer in Science and Mathematics education; as an interactive communication medium that permits access to all types of information (texts, images, different types of data such as sound, graphics and perhaps haptics like smell and touch); as an instrument for problem solving through simulations of scientific and mathematics phenomenon and experiments; as well as measuring and monitoring scientific laboratory experiments. This paper will highlight on the design and development of the virtual Visualisation Laboratory for Science & Mathematics Content (VLab-SMC) based on the Cognitivist- Constructivist-Contextual development life cycle model as well as the Instructional Design (ID) model, in order to achieve its objectives in teaching and learning. However, this paper with only highlight one of the virtual labs within VLab-SMC that is, the Virtual Lab for teaching Chemistry (VLab- Chem). The development life cycle involves the educational media to be used, measurement of content, and the authoring and programming involved; whilst the ID model involves the application of the cognitivist, constructivist and contextual theories in the modeling of the modules of VLab-SMC generally and Vlab-Chem specifically, using concepts such as 'learning by doing', contextual learning, experimental simulations 3D and real-time animations to create a virtual laboratory based on a real laboratory. Initial preliminary study shows positive indicators of VLab-Chem for the teaching and learning of Chemistry on the topic of 'Salts and Acids'.

The Language Used to Articulate Content as an Aspect of Pedagogical Content Knowledge

ERIC Educational Resources Information Center

Chick, Helen

2015-01-01

Mathematical knowledge in classrooms is mediated through the use of both technical and informal language. This paper is a report of a study of the language use of teachers as they examine students' work and discuss teaching for the topic of fraction operations. This provides a window on their pedagogical content knowledge and also on the way in…

Knowledge Growth in Teaching Mathematics/Science with Spreadsheets: Moving PCK to TPACK through Online Professional Development

ERIC Educational Resources Information Center

Niess, Margaret L.; van Zee, Emily H.; Gillow-Wiles, Henry

2011-01-01

Inservice teachers need ways to gain an integrated knowledge of content, pedagogy, and technologies that reflects new ways of teaching and learning in the 21st century. This interpretive study examined inservice K-8 teachers' growth in their pedagogical content knowledge (PCK) toward technology, pedagogy, and content knowledge (TPACK) in an online…

Development of a Multidisciplinary Middle School Mathematics Infusion Model

ERIC Educational Resources Information Center

Russo, Maria; Hecht, Deborah; Burghardt, M. David; Hacker, Michael; Saxman, Laura

2011-01-01

The National Science Foundation (NSF) funded project "Mathematics, Science, and Technology Partnership" (MSTP) developed a multidisciplinary instructional model for connecting mathematics to science, technology and engineering content areas at the middle school level. Specifically, the model infused mathematics into middle school curriculum…

The Preparation Experiences of Elementary Mathematics Specialists: Examining Influences on Beliefs, Content Knowledge, and Teaching Practices

ERIC Educational Resources Information Center

Swars, Susan L.; Smith, Stephanie Z.; Smith, Marvin E.; Carothers, Jody; Myers, Kayla

2018-01-01

Many in the field of mathematics education call for elementary schools to have elementary mathematics specialists (EMSs) who provide needed mathematical expertise and support for children and teachers. EMSs serve as a reasonable, immediate alternative to the challenges generated by elementary teachers needing improved mathematical knowledge for…

Report from the Netherlands: The Dutch Revolution in Secondary School Mathematics

ERIC Educational Resources Information Center

Case, Robert W.

2005-01-01

The change in the Dutch secondary school mathematics curriculum known as Realistic Mathematics Education advocated by the National Council of Teachers of Mathematics (NCTM 2000) is discussed. There are very good chances in Netherlands to finish its mathematics revolution which would be a revolution in content, teaching style and student learning.

Prospective Teacher Learning: Recognizing Evidence of Conceptual Understanding

ERIC Educational Resources Information Center

Bartell, Tonya Gau; Webel, Corey; Bowen, Brian; Dyson, Nancy

2013-01-01

This study examined prospective teachers' (PSTs) ability to recognize evidence of children's conceptual understanding of mathematics in three content areas before and after an instructional intervention designed to support this ability. It also investigates the role PSTs' content knowledge plays in their ability to recognize children's…

Effects on the Technological Pedagogical Content Knowledge of Early Childhood Teacher Candidates Using Digital Storytelling to Teach Mathematics

ERIC Educational Resources Information Center

Kildan, Abdullah Oguzhan; Incikabi, Lutfi

2015-01-01

This study aimed to present early childhood teacher candidates' experiences preparing digital stories and to reveal the resulting changes, if any, in self-reported technological pedagogical content knowledge (TPACK). This study was quasi-experimental and indicated that teacher candidates' evaluations of digital storytelling were affected by their…

Secondary School Teachers' Pedagogical Content Knowledge of Some Common Student Errors and Misconceptions in Sets

ERIC Educational Resources Information Center

Kolitsoe Moru, Eunice; Qhobela, Makomosela

2013-01-01

The study investigated teachers' pedagogical content knowledge of common students' errors and misconceptions in sets. Five mathematics teachers from one Lesotho secondary school were the sample of the study. Questionnaires and interviews were used for data collection. The results show that teachers were able to identify the following students'…

Relationship between Teacher Knowledge of Concepts and Connections, Teaching Practice, and Student Achievement in Middle Grades Mathematics

ERIC Educational Resources Information Center

Tchoshanov, Mourat A.

2011-01-01

The mixed method sequential nested study examines whether and how the cognitive type of teachers' content knowledge is associated with student achievement, and correlated with teaching practice. In the context of this study, the "cognitive type" refers to the kind of teacher content knowledge and thinking processes required to accomplish…

Can Pedagogical Concerns Eclipse Mathematical Knowledge?

ERIC Educational Resources Information Center

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

2016-01-01

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

The Dyslexic Student and Mathematics in Higher Education

ERIC Educational Resources Information Center

Perkin, Glynis; Croft, Tony

2007-01-01

Difficulties that are encountered by dyslexic undergraduates with their learning and understanding of mathematics are explored. Specific consideration is given to issues arising through mathematical content, its delivery, the procedures and processes of doing mathematics, and its assessment. Particular difficulties, which have emerged through…

The Role of Reasoning in the Australian Curriculum: Mathematics

ERIC Educational Resources Information Center

McCluskey, Catherine; Mulligan, Joanne; Mitchelmore, Mike

2016-01-01

The mathematical proficiencies in the "Australian Curriculum: Mathematics" of understanding, problem solving, reasoning, and fluency are intended to be entwined actions that work together to build generalised understandings of mathematical concepts. A content analysis identifying the incidence of key proficiency terms (KPTs) embedded in…

Secondary Math Instructional Practices, Academic Optimism, Instructional Leadership, and Receptivity to Curricular Change in Schools with High and Low Mathematics Mastery and Poverty

ERIC Educational Resources Information Center

Kennedy, Scott J.

2014-01-01

The purpose of this study was to investigate how high school mathematics teachers' descriptions of academic optimism, responsive teaching, technological pedagogical content knowledge, formative assessment, reflective practice, supervisor instructional leadership, and receptivity to change are related to student mastery on a NYS Regents exam in…

The Relation between Students' Math and Reading Ability and Their Mathematics, Physics, and Chemistry Examination Grades in Secondary Education

ERIC Educational Resources Information Center

Korpershoek, Hanke; Kuyper, Hans; van der Werf, Greetje

2015-01-01

Word problems are math- or science-related problems presented in the context of a story or real-life scenario. Literature suggests that, to solve these problems, advanced reading skills are required, in addition to content-related skills in, for example, mathematics. In the present study, we investigated the relation between students' reading…

Minnesota Academic Standards: Kindergarten

ERIC Educational Resources Information Center

Minnesota Department of Education, 2017

2017-01-01

This document contains all of the Minnesota kindergarten academic standards in the content areas of Arts, English Language Arts, Mathematics, Science and Social Studies. For each content area there is a short overview followed by a coding diagram of how the standards are organized and displayed. This document is adapted from the official versions…

Using Delphi Methodology to Design Assessments of Teachers' Pedagogical Content Knowledge

ERIC Educational Resources Information Center

Manizade, Agida Gabil; Mason, Marguerite M.

2011-01-01

Descriptions of methodologies that can be used to create items for assessing teachers' "professionally situated" knowledge are lacking in mathematics education research literature. In this study, researchers described and used the Delphi method to design an instrument to measure teachers' pedagogical content knowledge. The instrument focused on a…

Grades 4-6: Arkansas Public School Course Content Guide.

ERIC Educational Resources Information Center

Arkansas State Dept. of Education, Little Rock.

Provided as a framework for use in curriculum development are Arkansas' course content guides for the intermediate elementary grades four, five, and six. At each grade level, language arts, mathematics, reading, social studies, and science skills have been identified at three instructional levels: basic, developmental, and extensional. Basic…

Reading Where It Counts

ERIC Educational Resources Information Center

Miller, Harry

2014-01-01

In this article, teachers are reminded that their content subject areas require acquainting children with special words or symbols related to that subject area (e.g. mathematics or social studies). Because children can read well does not mean they would be understanding of any special reading skill required in a content subject area; that the…

Math Intervention Teachers' Pedagogical Content Knowledge and Student Achievement

ERIC Educational Resources Information Center

Waller, Lisa Ivey

2012-01-01

This research investigated the relationship of math intervention teachers' (MITs) pedagogical content knowledge (PCK) and students' math achievement gains in primary math interventions. The Kentucky Center for Mathematics gathered data on the MITs and primary math intervention students included in this study. Longitudinal data were analyzed for a…

Analysis of Prospective Mathematics Teachers’ Basic Teaching Skills (a Study of Mathematics Education Departement Students’ Field Experience Program at STKIP Garut)

NASA Astrophysics Data System (ADS)

Rahayu, D. V.

2017-02-01

This study was intended to figure out basic teaching skills of Mathematics Department Students of STKIP Garut at Field Experience Program in academic year 2014/2015. This study was qualitative research with analysis descriptive technique. Instrument used in this study was observation sheet to measure basic teaching mathematics skills. The result showed that ability of content mastery and explaining skill were in average category. Questioning skill, conducting variations skill and conducting assessment skill were in good category. Managing classroom skill and giving motivation skill were in poor category. Based on the result, it can be concluded that the students’ basic teaching skills weren’t optimal. It is recommended for the collegians to get lesson with appropriate strategy so that they can optimize their basic teaching skills.

Identifying and Using Picture Books with Quality Mathematical Content: Moving beyond "Counting on Frank" and "The Very Hungry Caterpillar"

ERIC Educational Resources Information Center

Marston, Jennie

2014-01-01

This article by Jennie Marston provides a framework to assist you in selecting appropriate picture books to present mathematical content. Jennie demonstrates the framework by applying three specific examples of picture books to the framework along with examples of activities.

Pedagogical Content Knowledge in Mathematical Modelling Instruction

ERIC Educational Resources Information Center

Tan, Liang Soon; Ang, Keng Cheng

2012-01-01

This paper posits that teachers' pedagogical content knowledge in mathematical modelling instruction can be demonstrated in the crafting of action plans and expected teaching and learning moves via their lesson images (Schoenfeld, 1998). It can also be developed when teachers shape appropriate teaching moves in response to students' learning…

Writing and Reading Multiplicity in the Uni-Verse: Engagements with Mathematics through Poetry

ERIC Educational Resources Information Center

Radakovic, Nenad; Jagger, Susan; Jao, Limin

2018-01-01

In this article, we explore the reading and writing of mathematical poetry from our experiences as mathematics teacher educators. First, we outline how our own engagement with mathematical poetry encouraged us to incorporate it into our teaching of pre-service teachers. We describe how our initial disappointment with the mathematical content of…

"Mathematics Is Just 1 + 1 = 2, What Is There to Argue About?": Developing a Framework for Argument-Based Mathematical Inquiry

ERIC Educational Resources Information Center

Fielding-Wells, Jill

2016-01-01

One potential means to develop students' contextual and conceptual understanding of mathematics is through Inquiry Learning. However, introducing a problem context can distract from mathematical content. Incorporating argumentation practices into Inquiry may address this through providing a stronger reliance on mathematical evidence and reasoning.…

Restoring Scholarship to Collegiate Mathematics.

ERIC Educational Resources Information Center

Steen, Lynn Arthur

1986-01-01

Needs of collegiate mathematics across the nation are considered, and suggestions are offered to the National Science Foundation (NSF) by a professor of Mathematics at St. Olaf College (Minnesota). Changes in mathematics content, scope, and applications have implications for the college curriculum. Problems and challenges are posed by: increased…

Giving Reason to Prospective Mathematics Teachers

ERIC Educational Resources Information Center

D'Ambrosio, Beatriz; Kastberg, Signe

2012-01-01

This article describes the development of the authors' understanding of the contradictions in their mathematics teacher education practice. This understanding emerged from contrasting analyses of the impact of the authors' practices in mathematics content courses versus mathematics methods courses. Examples of the authors' work with two students,…

Making the Invisible of Learning Visible: Pre-Service Teachers Identify Connections between the Use of Literacy Strategies and Their Content Area Assessment Practices

ERIC Educational Resources Information Center

Mitton-Kukner, Jennifer; Orr, Anne Murray

2014-01-01

In this paper we describe four ways secondary pre-service teachers appeared to be developing assessment practices during field experience, after taking a content area literacy course. This paper arises from a multi-year study exploring pre-service and beginning content area teachers' use of literacy strategies in teaching mathematics, science, and…

Integrating Mathematics, Science, and Language Arts Instruction Using the World Wide Web.

ERIC Educational Resources Information Center

Clark, Kenneth; Hosticka, Alice; Kent, Judi; Browne, Ron

1998-01-01

Addresses issues of access to World Wide Web sites, mathematics and science content-resources available on the Web, and methods for integrating mathematics, science, and language arts instruction. (Author/ASK)

Capturing student mathematical engagement through differently enacted classroom practices: applying a modification of Watson's analytical tool

NASA Astrophysics Data System (ADS)

Patahuddin, Sitti Maesuri; Puteri, Indira; Lowrie, Tom; Logan, Tracy; Rika, Baiq

2018-04-01

This study examined student mathematical engagement through the intended and enacted lessons taught by two teachers in two different middle schools in Indonesia. The intended lesson was developed using the ELPSA learning design to promote mathematical engagement. Based on the premise that students will react to the mathematical tasks in the forms of words and actions, the analysis focused on identifying the types of mathematical engagement promoted through the intended lesson and performed by students during the lesson. Using modified Watson's analytical tool (2007), students' engagement was captured from what the participants' did or said mathematically. We found that teachers' enacted practices had an influence on student mathematical engagement. The teacher who demonstrated content in explicit ways tended to limit the richness of the engagement; whereas the teacher who presented activities in an open-ended manner fostered engagement.

Looking at practice: revealing the knowledge demands of teaching data handling in the primary classroom

NASA Astrophysics Data System (ADS)

Leavy, Aisling

2015-09-01

In the evolving field of mathematics education, there is the need to maintain the relationship between what is presented in college level preparation courses and the skills required to teach mathematics in classrooms. This research examines the knowledge demands placed on 73 pre-service primary teachers as they use lesson study to plan and teach data handling in primary classrooms. Pre-service teachers are observed as they plan, teach and re-teach data lessons in classrooms. Problems of practice are identified and categorized using the Ball, Thames and Phelps (2008) subdomains of common content knowledge (CCK), specialized content knowledge (SCK), knowledge of content and students (KCS) and knowledge of content and teaching (KCT). The results provide insights into the specific knowledge demands placed on early career teachers when teaching data and statistics and identifies foci area that can be addressed in teacher preparation programs. The results illustrate that development of understandings in one knowledge subdomain can motivate and impact learning in another subdomain. These interrelationships were found to exist both within and between the domains of content and pedagogical content knowledge.

Utah's New Mathematics Core

ERIC Educational Resources Information Center

Utah State Office of Education, 2011

2011-01-01

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…

From the University to the Classroom: Prospective Elementary Mathematics Specialists' Pedagogical Shifts

ERIC Educational Resources Information Center

Myers, Kayla D.; Swars, Susan L.; Smith, Stephanie Z.

2016-01-01

This project focuses on the development of prospective Elementary Mathematics Specialists (EMSs) in a K-5 Mathematics Endorsement Program. Program courses emphasized elementary mathematics content and pedagogy while providing opportunities for participants to evidence their learning through classroom teaching practice, all in an attempt to…

Supporting Mathematics Teachers' Development through Higher Education

ERIC Educational Resources Information Center

Prendergast, Mark; Roche, Joseph

2017-01-01

Mathematics education, both nationally and internationally, is facing a number of challenges with significant on-going shifts in the structure, content, and core principles of mathematics curricula in countries around the world. For example, in Ireland there was an ambitious reform of the post-primary mathematics curricula in 2010 with further…

Mathematics for Language, Language for Mathematics

ERIC Educational Resources Information Center

Prochazkova, Lenka Tejkalova

2013-01-01

The author discusses the balance and mutual influence of the language of instruction and mathematics in the context of CLIL, Content and Language Integrated Learning. Different aspects of the relationship of language and Mathematics teaching and learning are discussed: the benefits of using a foreign language of instruction, as well as the…

Early Predictors of High School Mathematics Achievement

ERIC Educational Resources Information Center

Siegler, Robert S.; Duncan, Greg J.; Davis-Kean, Pamela E.; Duckworth, Kathryn; Claessens, Amy; Engel, Mimi; Susperreguy, Maria Ines; Meichu, Chen

2012-01-01

Identifying the types of mathematics content knowledge that are most predictive of students' long-term learning is essential for improving both theories of mathematical development and mathematics education. To identify these types of knowledge, we examined long-term predictors of high school students' knowledge of algebra and overall mathematics…

Review of Evidence-Based Mathematics Interventions for Students with Autism Spectrum Disorders

ERIC Educational Resources Information Center

Hart Barnett, Juliet E.; Cleary, Shannon

2015-01-01

Students with autism spectrum disorders (ASD) are being included more frequently in the general educational setting, and are therefore increasingly expected to access and master core curricular content, including mathematics. However, mathematics often presents challenges to students with ASD. Interventions to improve the mathematics skills of…

Delivering Online Professional Development in Mathematics to Rural Educators

ERIC Educational Resources Information Center

Cady, Jo; Rearden, Kristin

2009-01-01

Rural school districts struggle to attract, retain, and support highly qualified mathematics teachers. A series of four online professional development courses in the form of integrated mathematics content and pedagogy courses was designed to meet the professional development needs of rural middle school mathematics teachers. Changes in teachers'…

Stimulating Mathematical Reasoning with Simple Open-Ended Tasks

ERIC Educational Resources Information Center

West, John

2018-01-01

The importance of mathematical reasoning is unquestioned and providing opportunities for students to become involved in mathematical reasoning is paramount. The open-ended tasks presented incorporate mathematical content explored through the contexts of problem solving and reasoning. This article presents a number of simple tasks that may be…

Technological pedagogical content knowledge of junior high school mathematics teachers in teaching linear equation

NASA Astrophysics Data System (ADS)

Wati, S.; Fitriana, L.; Mardiyana

2018-04-01

Linear equation is one of the topics in mathematics that are considered difficult. Student difficulties of understanding linear equation can be caused by lack of understanding this concept and the way of teachers teach. TPACK is a way to understand the complex relationships between teaching and content taught through the use of specific teaching approaches and supported by the right technology tools. This study aims to identify TPACK of junior high school mathematics teachers in teaching linear equation. The method used in the study was descriptive. In the first phase, a survey using a questionnaire was carried out on 45 junior high school mathematics teachers in teaching linear equation. While in the second phase, the interview involved three teachers. The analysis of data used were quantitative and qualitative technique. The result PCK revealed teachers emphasized developing procedural and conceptual knowledge through reliance on traditional in teaching linear equation. The result of TPK revealed teachers’ lower capacity to deal with the general information and communications technologies goals across the curriculum in teaching linear equation. The result indicated that PowerPoint constitutes TCK modal technological capability in teaching linear equation. The result of TPACK seems to suggest a low standard in teachers’ technological skills across a variety of mathematics education goals in teaching linear equation. This means that the ability of teachers’ TPACK in teaching linear equation still needs to be improved.

Gender Integration of a Core Content Area Teacher/Athletic Coach in the Rural Southeastern United States

ERIC Educational Resources Information Center

Brown, Alan

2012-01-01

Research on the occupational socialization of teachers and coaches has largely centered on physical education teachers and rarely on teachers from core content areas (i.e. English, foreign language, mathematics, science and social studies) who also coach athletics. The primary purpose of this single-case study was to explore the socialization of a…

The Role of Content in Inquiry-Based Elementary Science Lessons: An Analysis of Teacher Beliefs and Enactment

ERIC Educational Resources Information Center

Furtak, Erin Marie; Alonzo, Alicia C.

2010-01-01

The Trends in International Mathematics and Science Study (TIMSS) Video Study explored instructional practices in the United States (US) in comparison with other countries that ranked higher on the 1999 TIMSS assessment, and revealed that 8th grade science teachers in the US emphasize activities over content during lessons (Roth et al.…

Integrating pedagogical content knowledge and pedagogical/psychological knowledge in mathematics

PubMed Central

Harr, Nora; Eichler, Andreas; Renkl, Alexander

2014-01-01

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

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

PubMed

Harr, Nora; Eichler, Andreas; Renkl, Alexander

2014-01-01

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

The Impact of Instruction Incorporating Content Area Reading Strategies on Student Mathematical Achievement in a Community College Developmental Mathematics Course

ERIC Educational Resources Information Center

Rust, Amber Heller

2011-01-01

When a student is not successful in mathematics, teachers frequently assume the difficulty lies within the student's mathematical ability or negative disposition towards mathematics, but the difficulty may lie with the student's reading comprehension (Draper, Smith, Hall, & Siebert, 2005; Kane, Byrne, & Hater, 1974). Many…

Knowing and Learning Mathematics for Teaching: Proceedings of a Workshop (March 19-21, 1999).

ERIC Educational Resources Information Center

National Academy of Sciences - National Research Council, Washington, DC. Mathematical Sciences Education Board.

The Mathematics Teacher Preparation Content Workshop, held March 19-21, 1999, focused on two questions: (1) What is the mathematical knowledge teachers need to know in order to teach well? and (2) How can teachers develop the mathematical knowledge they need to teach well? Chapters include: (1) "Knowledge of Fundamental Mathematics for Teaching"…

Mathematics Content Standards Benchmarks and Performance Standards

ERIC Educational Resources Information Center

New Mexico Public Education Department, 2008

2008-01-01

New Mexico Mathematics Content Standards, Benchmarks, and Performance Standards identify what students should know and be able to do across all grade levels, forming a spiraling framework in the sense that many skills, once introduced, develop over time. While the Performance Standards are set forth at grade-specific levels, they do not exist as…

Theorising about Mathematics Teachers' Professional Knowledge: The Content, Form, Nature, and Course of Teachers' Knowledge

ERIC Educational Resources Information Center

Scheiner, Thorsten

2015-01-01

The guiding philosophy of this theoretical work lays in the argument that mathematics teachers' professional knowledge is the integration of various knowledge facets derived from different sources including teaching experience and research. This paper goes beyond past trends identifying what the teachers' knowledge is about (content) by providing…

Teaching Mathematics Vocabulary with an Interactive Signing Math Dictionary

ERIC Educational Resources Information Center

Vesel, Judy; Robillard, Tara

2013-01-01

State frameworks and national standards are explicit about the mathematics content that students must master at each grade level. Although the Individuals with Disabilities Education Act and the No Child Left Behind Act mandate that students who are deaf or hard of hearing and communicate in sign language have access to this content, evidence…

An Investigation into Student Perceptions towards Mathematics and Their Performance in First Year Chemistry: Introduction of Online Maths Skills Support

ERIC Educational Resources Information Center

Johnston, Peter R.; Watters, Dianne J.; Brown, Christopher L.; Loughlin, Wendy A.

2016-01-01

An online Maths Skills Site was developed as an integrated support programme for first year Chemistry students, the content of which, was based on an analysis of their high-school mathematical backgrounds. This study examined the students' perceptions of Maths, their patterns of usage of the Maths Skills Site and whether there was a relationship…

Summary of Funded Race to the Top Applications: Science, Technology, Engineering, and Mathematics Activities in Eleven States and the District of Columbia

ERIC Educational Resources Information Center

Mattson, Beverly

2011-01-01

One of the competitive priorities of the U.S. Department of Education's Race to the Top applications addressed science, technology, engineering, and mathematics (STEM). States that applied were required to submit plans that addressed rigorous courses of study, cooperative partnerships to prepare and assist teachers in STEM content, and prepare…

"I Believe the Most Helpful Thing Was Him Skipping over the Proof": Examining PCK in a Senior Secondary Mathematics Lesson

ERIC Educational Resources Information Center

Maher, Nicole; Chick, Helen; Muir, Tracey

2016-01-01

Pedagogical content knowledge is widely considered an essential and complex facet of mathematics teacher knowledge, but little research has focused on PCK at the senior secondary level. This study explores some of the complexities of PCK in a teacher's lesson for senior secondary students by analysing data from lesson observation, the teacher's…

TIMSS Advanced 2015 and Advanced Placement Calculus & Physics. A Framework Analysis. Research in Review 2016-1

ERIC Educational Resources Information Center

Lazzaro, Christopher; Jones, Lee; Webb, David C.; Grover, Ryan; Di Giacomo, F. Tony; Marino, Katherine Adele

2016-01-01

This report will determine to what degree the AP Physics 1 and 2 and AP Calculus AB and BC frameworks are aligned with the Trends in International Mathematics and Science Study (TIMSS) Advanced Physics and Mathematics frameworks. This will enable an exploration of any differences in content coverage and levels of complexity, and will set the stage…

Implementing the Common Core State Standards for Mathematics: A Comparison of Current District Content in 41 States. Working Paper #32

ERIC Educational Resources Information Center

Cogan, Leland; Schmidt, William; Houang, Richard

2013-01-01

Beginning in the spring of 2011 the Center for the Study of Curriculum at Michigan State University conducted a survey of school district curriculum directors/supervisors in the 41 states that had officially adopted the new Common Core State Standards for Mathematics (CCSSM). The Center's goal was to provide baseline information to inform and…

Balancing Considerations of Equity, Content Quality, and Technical Excellence in Designing, Validating and Implementing Performance Assessments in the Context of Mathematics Instructional Reform: The Experience of the QUASAR Project.

ERIC Educational Resources Information Center

Silver, Edward A.; Lane, Suzanne

Issues of educational equity and quality are explored in the context of the Quantitative Understanding: Amplifying Student Achievement and Reasoning (QUASAR) project, a national educational reform project aimed at fostering and studying the development and implementation of enhanced mathematics instructional programs for students attending middle…

Challenges in Curriculum Development for Mathematical Proof in Secondary School: Cultural Dimensions to Be Considered

ERIC Educational Resources Information Center

Shinno, Yusuke; Miyakawa, Takeshi; Iwasaki, Hideki; Kunimune, Susumu; Mizoguchi, Tatsuya; Ishii, Terumasa; Abe, Yoshitaka

2018-01-01

The aims of the present study are two-fold. The first aim is to reveal the cultural and linguistic issues that need to be considered in the development of curricular content and sequencing for teaching mathematical proof in secondary schools in Japan. The second aim is to elaborate an epistemological perspective that may allow us to understand…

Surveys of Enacted Curriculum Content & Instruction in Focus

ERIC Educational Resources Information Center

Council of Chief State School Officers, 2013

2013-01-01

The "Surveys of Enacted Curriculum" (SEC) is a Web-based tool that provides K-12 mathematics, science, English language arts, and social studies teachers with consistent data, both on current instructional practices and the content actually being taught in their classrooms (the "how" and the "what"). Survey results are presented in clear and…

(Re)Imagining Content-Area Literacy Instruction. Language & Literacy Series

ERIC Educational Resources Information Center

Draper, Roni Jo, Ed.; Broomhead, Paul, Ed.; Jensen, Amy Petersen, Ed.; Nokes, Jeffery D., Ed.; Siebert, Daniel, Ed.

2010-01-01

Today's teachers need to prepare students for a world that places increasingly higher literacy demands on its citizens. In this timely book, the authors explore content-area literacy and instruction in English, music, science, mathematics, social studies, visual arts, technology, and theatre. Each of the chapters has been written by teacher…

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

ERIC Educational Resources Information Center

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

2015-01-01

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

Standards for K-12 Engineering Education?

ERIC Educational Resources Information Center

National Academies Press, 2010

2010-01-01

The goal of this study was to assess the value and feasibility of developing and implementing content standards for engineering education at the K-12 level. Content standards have been developed for three disciplines in STEM education--science, technology, and mathematic--but not for engineering. To date, a small but growing number of K-12…

Informing Estimates of Program Effects for Studies of Mathematics Professional Development Using Teacher Content Knowledge Outcomes.

PubMed

Phelps, Geoffrey; Kelcey, Benjamin; Jones, Nathan; Liu, Shuangshuang

2016-10-03

Mathematics professional development is widely offered, typically with the goal of improving teachers' content knowledge, the quality of teaching, and ultimately students' achievement. Recently, new assessments focused on mathematical knowledge for teaching (MKT) have been developed to assist in the evaluation and improvement of mathematics professional development. This study presents empirical estimates of average program change in MKT and its variation with the goal of supporting the design of experimental trials that are adequately powered to detect a specified program effect. The study drew on a large database representing five different assessments of MKT and collectively 326 professional development programs and 9,365 teachers. Results from cross-classified hierarchical growth models found that standardized average change estimates across the five assessments ranged from a low of 0.16 standard deviations (SDs) to a high of 0.26 SDs. Power analyses using the estimated pre- and posttest change estimates indicated that hundreds of teachers are needed to detect changes in knowledge at the lower end of the distribution. Even studies powered to detect effects at the higher end of the distribution will require substantial resources to conduct rigorous experimental trials. Empirical benchmarks that describe average program change and its variation provide a useful preliminary resource for interpreting the relative magnitude of effect sizes associated with professional development programs and for designing adequately powered trials. © The Author(s) 2016.

Implementation and outcomes of inquiry-based learning in mathematics content courses for pre-service teachers

NASA Astrophysics Data System (ADS)

Laursen, Sandra L.; Hassi, Marja-Liisa; Hough, Sarah

2016-02-01

This mixed-methods study describes classroom characteristics and student outcomes from university mathematics courses that are based in mathematics departments, targeted to future pre-tertiary teachers, and taught with inquiry-based learning (IBL) approaches. The study focused on three two-term sequences taught at two research universities, separately targeting elementary and secondary pre-service teachers. Classroom observation established that the courses were taught with student-centred methods that were comparable to those used in IBL courses for students in mathematics-intensive fields at the same institutions. To measure pre-service teachers' gains in mathematical knowledge for teaching, we administered the Learning Mathematics for Teaching (LMT) instrument developed by Hill, Ball and Schilling for in-service teacher professional development. Results from the LMT show that pre-service teachers made significant score gains from beginning to end of their course, while data from interviews and from surveys of learning gains show that pre-service teachers viewed their gains as relevant to their future teaching work. Measured changes on pre-/post-surveys of attitudes and beliefs were generally supportive of learning mathematics but modest in magnitude. The study is distinctive in applying the LMT to document pre-service teachers' growth in mathematical knowledge for teaching. The study also suggests IBL is an approach well suited to mathematics departments seeking to strengthen their pre-service teacher preparation offerings in ways consistent with research-based recommendations.

Teaching Middle-Grades Mathematics through Financial Literacy

ERIC Educational Resources Information Center

Crawford-Ferre, Heather Glynn; Wiest, Lynda R.; Vega, Stephanie

2016-01-01

Because financial literacy is an important skill for middle-grades students, this article suggests numerous personal financial literacy tasks for use in the mathematics classroom. Also provided are specifics for implementing one of these tasks to address mathematical content.

Mathematics Fitness.

ERIC Educational Resources Information Center

Trezise, Kathleen A.

1998-01-01

Students receiving mathematics instruction relevant to life will understand that mathematics is part of the real world and not just another school subject. Presents an activity that integrates rational numbers with health-related science content as students collect data and engage in decision making. (ASK)

Engaging First Graders to Participate as Students of Mathematics

ERIC Educational Resources Information Center

Perry, Michelle; McConney, Marc; Flevares, Lucia M.; Mingle, Leigh A.; Hamm, Jill V.

2011-01-01

First-grade students often come to school relatively naive about what it means to be mathematics students. Thus, first-grade teachers have the responsibility not only of teaching mathematical content to their young students, but also of socializing them into a culture of mathematics learning. In this article, the authors document both how teachers…

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

ERIC Educational Resources Information Center

Chichekian, Tanya; Shore, Bruce M.

2013-01-01

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

Mathematically Rich, Investigative Tasks for Teaching Algebra

ERIC Educational Resources Information Center

Day, Lorraine

2015-01-01

A challenge for teachers is to incorporate the Standards for Mathematical Practice (CCSSI 2010) throughout their teaching of mathematics so that the Common Core Standards do not revert back to a purely content-driven curriculum. One way to achieve this is through the use of mathematically rich, investigative tasks. These tasks encourage students…

Actuality of transcendental æsthetics for modern physics

NASA Astrophysics Data System (ADS)

Petitot, Jean

1. The more mathematics and physics unify themselves in the physico-mathematical modern theories, the more an objective epistemology becomes necessary. Only such a transcendental epistemology is able to thematize correctly the status of the mathematical determination of physical reality. 2. There exists a transcendental history of the synthetic a priori and of the construction of physical categories. 3. The transcendental approach allows to supersed Wittgenstein's and Carnap's antiplatonist thesis according to which pure mathematics are physically applicable only if they lack any descriptive, cognitive or objective, content and reduce to mere prescriptive and normative devices. In fact, pure mathematics are prescriptive-normative in physics because: (i) the categories of physical objectivity are prescriptive-normative, and (ii) their categorial content is mathematically “constructed” through a Transcendental Aesthetics. Only a transcendental approach make compatible, in the one hand, a grammatical conventionalism of Wittgensteinian or Carnapian type and, on the other hand, a platonist realism of Gödelian type. Mathematics are not a grammar of the world but a mathematical hermeneutics of the intuitive forms and of the categorial grammar of the world.

Embedded Mathematics in Chemistry: A Case Study of Students' Attitudes and Mastery

NASA Astrophysics Data System (ADS)

Preininger, Anita M.

2017-02-01

There are many factors that shape students' attitudes toward science, technology, engineering and mathematics. This exploratory study of high school students examined the effect of enriching chemistry with math on chemistry students' attitudes toward math and careers involving math. To measure student attitudes, a survey was administered before and after the 18-week chemistry class; results from the chemistry class were compared to survey results from students in an elective science class that did not emphasize mathematics. At the end of the 18-week period, only the chemistry students exhibited more positive views toward their abilities in mathematics and careers that involve mathematics, as compared to their views at the outset of the course. To ensure that chemistry mastery was not hindered by the additional emphasis on math, and that mastery on state end-of-course examinations reflected knowledge acquired during the math-intensive chemistry class, a chemistry progress test was administered at the start and end of the term. This exploratory study suggests that emphasizing mathematical approaches in chemistry may positively influence attitudes toward math in general, as well as foster mastery of chemistry content.

Mathematics Teachers' Response to the Reform Agenda: Results of the 1993 National Survey of Science and Mathematics Education.

ERIC Educational Resources Information Center

Weiss, Iris R.

The NCTM Standards call for the introduction of challenging mathematics content for all students beginning in the early grades. If teachers are to guide students in their exploration of mathematics concepts, they must themselves have a firm grasp of powerful mathematics concepts. This paper uses data from the 1993 National Survey of Science and…

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

NASA Astrophysics Data System (ADS)

Flynn, Natalie P.

This study developed a survey from the existing literature in an attempt to illuminate the processes, tools, insights, and events that allow university science and mathematics content experts (Ph.D.'s) unpack their expertise in order to teach develop and teach undergraduate students. A pilot study was conducted at an urban university in order to refine the survey. The study consisted of 72 science or mathematics Ph.D. faculty members that teach at a research-based urban university. Follow-up interviews were conducted with 21 volunteer faculty to further explore their methods and tools for developing and implementing teaching within their discipline. Statistical analysis of the data revealed: faculty that taught while obtaining their Ph.D. were less confident in their ability to teach successful and faculty that received training in teaching believed that students have difficult to change misconceptions and do not commit enough time to their course. Student centered textbooks ranked the highest among tools used to gain teaching strategies followed by grading of exams and assignments for gaining insights into student knowledge and difficulties. Science and mathematics education literature and university provided education session ranked the lowest in rating scale for providing strategies for teaching. The open-ended survey questions were sub-divided and analyzed by the number of years of experience to identify the development of teaching knowledge over time and revealed that teaching became more interactive, less lecture based, and more engaging. As faculty matured and gained experience they became more aware of student misconceptions and difficulties often changing their teaching to eliminate such issues. As confidence levels increase their teaching included more technology-based tools, became more interactive, incorporated problem based activities, and became more flexible. This change occurred when and if faculty members altered their thinking about their knowledge from an expert centered perspective to a student centric view. Follow-up interviews of twenty faculty yielded a wide variety of insights into the complicated method of deconstructing expert science and mathematics content. The interviews revealed a major disconnect between education research and researchers and the science and mathematics content experts who teach. There is a pervasive disregard for science and mathematics education and training. Faculty members find little to no support for teaching. Though 81% obtained their Ph.D. with the intent to enter an academic setting, pedagogical training was non-existent or limited, both prior to and after obtaining faculty positions. Experience alone did not account for confidence or ability to successfully teach. Faculty that were able to 'think like a student' and view their material from a student's perspective' seemed to be the most confident and flexible in their teaching methods. Grading and having an open and interactive teaching style, being on the 'side of the students' also seemed to allow faculty to connect more deeply with the students and learn about common misconceptions and difficulties. Though most faculty claimed to not teach as they were taught and not recall having specific content difficulties, this essential interaction with many students facilitated a shift in thinking about their content. This shift allowed for a reversal from teacher centered classrooms to student centered. Multiple issues arise when teaching at a traditional larger lecture style found in the majority of universities science and mathematics courses that constrain and provide unique teaching challenges. Many faculty have developed unique tools to incorporate successful teaching strategies, such as daily pre-quizzes and smart-phone questioning as well as small group work, computer posted guides, strategic class breaks, and limiting lecture style in favor of a more active engaged classroom. (Abstract shortened by UMI.).

The Integration of technology in teaching mathematics

NASA Astrophysics Data System (ADS)

Muhtadi, D.; Wahyudin; Kartasasmita, B. G.; Prahmana, R. C. I.

2017-12-01

This paper presents the Transformation of Technological Pedagogical and Content Knowledge (TPACK) of three pre-service math teacher. They participate in technology-based learning modules aligned with teaching practice taught school and became characteristic of teaching method by using the mathematical software. ICT-based learning environment has been the demands in practice learning to build a more effective approach to the learning process of students. Also, this paper presents the results of research on learning mathematics in middle school that shows the influence of design teaching on knowledge of math content specifically.

Developing Mathematics Problems Based on PISA Level of Change and Relationships Content

ERIC Educational Resources Information Center

Ahyan, Shahibul; Zulkardi; Darmawijoyo

2014-01-01

This research aims to produce mathematics problems based on PISA level with valid and practical content of change and relationships and has potential effect for Junior High School students. A development research method developed by Akker, Gravemeijer, McKenney and Nieveen is used this research. This development research consists of three stages;…

The Presentation of Technology for Teaching and Learning Mathematics in Textbooks: Content Courses for Elementary Teachers

ERIC Educational Resources Information Center

Jones, Dustin; Hollas, Victoria; Klespis, Mark

2017-01-01

This article presents an overview of the ways technology is presented in textbooks written for mathematics content courses for prospective elementary teachers. Six popular textbooks comprising a total of more than 5,000 pages were examined, and 1,055 distinct references to technology were identified. These references are coded according to…

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

ERIC Educational Resources Information Center

Julie, Cyril

2014-01-01

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

The Search for Adult Assessment Procedures.

ERIC Educational Resources Information Center

Usnick, Virginia; Babbitt, Beatrice C.

1993-01-01

Reviewed 12 currently available mathematics assessment tools to determine whether they would be appropriate for use in a college-level mathematics clinic. Tests were assigned to two domains: cognitive and mathematical content. Major deficiencies of the tests are cited. (Contains 15 references.) (MDH)

Values taught, values learned, attitude and performance in mathematics

NASA Astrophysics Data System (ADS)

Limbaco, K. S. A.

2015-03-01

The purpose of the study was to identify, describe and find the relationship among values taught, values learned, attitude and performance in mathematics. The researcher used descriptive-correlational method of research to gather information and to describe the nature of situation. The following instruments were used in this study: Math Attitude Inventory, Inventory of Values Taught and Learned which were content validated by experts in the field of Mathematics, Values and Education. Generally, most of the values were taught by the teachers. All of the values were learned by the students. The following got the highest mean ratings for values taught: moral strength, sharing, charity, valuing life, love of God, truth and honesty, reason, alternativism and articulation. The following got highest mean ratings for values learned: patience/tolerance, sharing, charity, valuing life, faith, love of God, truth and honesty, analogical thinking, confidence and individual liberty. Majority of the respondents have moderately positive attitude towards mathematics. Positive statements in the Mathematics Attitude Inventory are "Generally true" while negative statements are "Neutral." In conclusion, values were taught by mathematics teacher, thus, learned by the students. Therefore, mathematics is very much related to life. Values can be learned and strengthened through mathematics; there is a significant relationship between values taught by the teachers and values learned by the students and attitude towards mathematics and performance in mathematics; values taught does not affect attitude towards mathematics and performance in mathematics. A student may have a positive attitude towards mathematics or have an exemplary performance in mathematics even if the mathematics teacher did not teach values; values learned does not affect attitude towards mathematics and performance in mathematics. A student may have a positive attitude towards mathematics or have an exemplary performance in mathematics even he/she did not learned values in his/her mathematics class.

Development and Refinement of Reading and Mathematics Tests for Grades 2 and 5. Beginning Teacher Evaluation Study. Technical Report Series. Technical Report III-1. Continuation of Phase III A.

ERIC Educational Resources Information Center

Filby, Nikola N.; Dishaw, Marilyn

Achievement tests that are maximally sensitive to effective instruction in reading and mathematics for grades 2 and 5 were developed and refined. Important considerations regarding the tests' validity were: its coverage of instructional content (opportunity to learn), and its reactivity to instruction. Student ability must be minimally related to…

Public-Key Cryptography: A Hardware Implementation and Novel Neural Network-Based Approach

DTIC Science & Technology

1992-09-01

FUNDINGISPONSORING 8b. OFFICE SYMBOL 9. PROCUREMENT INSTRUMENT IDENTIFICATION NUMBER ORGANIZATION (if applicable ) 8c. ADDRESS (City, State, and ZIP Code) 10...8217....... ......... 4. .. . . iii TABLE OF CONTENTS I. INTRODUCTION ............................. 1 II. MATHEMATICAL BASIS FOR THE DEVELOPMENT OF PUBLIC-KEY...in the spirit of this future that this thesis is presented. It is an in-depth study of the public-key cryptosystem. First, the mathematical basis

Applying a Universal Design for Learning Framework to Mediate the Language Demands of Mathematics

ERIC Educational Resources Information Center

Thomas, Cathy Newman; Van Garderen, Delinda; Scheuermann, Amy; Lee, Eun Ju

2015-01-01

This article provides information about the relationship between mathematics, language, and literacy and describes the difficulties faced by students with disabilities with math content based on the language demands of mathematics. We conceptualize mathematics language as a mode of discourse for math learning that can be thought of as receptive…

The Effects of Different Undergraduate Mathematics Courses on the Content Knowledge and Attitude towards Mathematics of Preservice Elementary Teachers

ERIC Educational Resources Information Center

Matthews, Michael E.; Seaman, Walter I.

2007-01-01

Preservice elementary teachers have been shown to generally possess poor mathematical knowledge (e.g. Goulding, Rowland, & Barber, 2002) and also strong negative attitudes toward mathematics (e.g. MacNab & Payne, 2004). Recently, national organizations have proposed interventions to address these issues (Conference Board of the…

A Framework for Proofs and Refutations in School Mathematics: Increasing Content by Deductive Guessing

ERIC Educational Resources Information Center

Komatsu, Kotaro

2016-01-01

The process of proofs and refutations described by Lakatos is essential in school mathematics to provide students with an opportunity to experience how mathematical knowledge develops dynamically within the discipline of mathematics. In this paper, a framework for describing student processes of proofs and refutations is constructed using a set of…

Professional Communities in the Context of Teachers' Professional lives: A Case of Mathematics Specialists

ERIC Educational Resources Information Center

Nickerson, Susan D.; Moriarty, Gail

2005-01-01

We describe an urban school initiative aimed at teachers' professional development with the goal of increasing their mathematics content knowledge and helping them improve their practice. In the lowest performing schools, mathematics specialists were employed to teach only mathematics in upper-elementary grades (ages 9-12). One aspect of this…

Exploring Mathematics Teachers' Pedagogical Content Knowledge in the Context of Knowledge of Students

ERIC Educational Resources Information Center

Aksu, Zeki; Kul, Ümit

2016-01-01

Functions are one of the basic topics taught in mathematics curriculum at Secondary school level requiring knowledge from the students' past, and uniting mathematical topics. Mathematics teachers have both their own learning experience of functions, as well as their own teaching experience, leading to the question of what level of student…

Unpacking Teachers' Moves in the Classroom: Navigating Micro- and Macro-Levels of Mathematical Complexity

ERIC Educational Resources Information Center

Wasserman, Nicholas H.

2015-01-01

The work that mathematics teachers do is frequently mathematical in nature and different from other professions. Understanding and describing common ways that teachers draw upon their content knowledge in the practice of teaching is important. Building on the descriptions by McCrory et al. ("Journal for Research in Mathematics Education"…

Engineering Undergraduates' Views of A-Level Mathematics and Further Mathematics as Preparation for Their Degree

ERIC Educational Resources Information Center

Darlington, Ellie; Bowyer, Jessica

2017-01-01

An ongoing reform programme of the post-16 Advanced "A"-level qualifications in England and Wales means that pre-university mathematics content and assessment will change from 2017. Undergraduate engineering is a subject that relies heavily on mathematics, and applicants to engineering degree programmes in the UK are required to have…

Teaching Assistants Who Instruct Preparatory Mathematics to Academically-Challenged First-Year College Students

ERIC Educational Resources Information Center

Tawfeeq, Dante A. L.

2011-01-01

Teaching preparatory mathematics to first-time college students--who come from economically impoverished high schools that have not prepared their students to do college level mathematics--can be a daunting task for teaching assistants (TAs). The preparation of TAs to assist such students in the mastery of mathematical content is a complex…

What Mathematical Images Are in a Typical Mathematics Textbook? Implications for Students with Visual Impairments

ERIC Educational Resources Information Center

Emerson, Robert Wall; Anderson, Dawn

2018-01-01

Introduction: Visually impaired students (that is, those who are blind or have low vision) have difficulty accessing curricular material in mathematical textbooks because many mathematics texts have visual images that contain important content information that are not transcribed or described in digital versions of the texts. However, little is…

"It's Hard Getting Kids to Talk about Math": Helping New Teachers Improve Mathematical Discourse

ERIC Educational Resources Information Center

Bennett, Cory A.

2010-01-01

This article examines how two new teachers, with varied content knowledge and preparation as teachers in mathematics education, improved their use of whole-class discourse in their mathematics classes with a mentor's assistance. Discourse has long been shown to be influential in supporting students' learning of mathematics, but the implementation…

Designing Tasks to Examine Mathematical Knowledge for Teaching Statistics for Primary Teachers

NASA Astrophysics Data System (ADS)

Siswono, T. Y. E.; Kohar, A. W.; Hartono, S.

2018-01-01

Mathematical knowledge for teaching (MKT) is viewed as fuel resources for conducting an orchestra in a teaching and learning process. By understanding MKT, especially for primary teachers, it can predict the success of a goal of an instruction and analyze the weaknesses and improvements of it. To explore what teachers think about subject matters, pedagogical terms, and appropriate curriculum, it needs a task which can be identified the teachers’ MKT including the subject matter knowledge (SMK) and pedagogical content knowledge (PCK). This study aims to design an appropriate task for exploring primary teachers’ MKT for statistics in primary school. We designed six tasks to examine 40 primary teachers’ MKT, of which each respectively represents the categories of SMK (common content knowledge (CCK) and specialised content knowledge (SCK)) and PCK (knowledge of content and students (KCS), knowledge of content and teaching (KCT), and knowledge of content and curriculum (KCC)). While MKT has much attention of numbers of scholars, we consider knowledge of content and culture (KCCl) to be hypothesized in the domains of MKT. Thus, we added one more task examining how the primary teachers used their knowledge of content (KC) regarding to MKT in statistics. Some examples of the teachers’ responses on the tasks are discussed and some refinements of MKT task in statistics for primary teachers are suggested.

Making mathematics and science integration happen: key aspects of practice

NASA Astrophysics Data System (ADS)

Ríordáin, Máire Ní; Johnston, Jennifer; Walshe, Gráinne

2016-02-01

The integration of mathematics and science teaching and learning facilitates student learning, engagement, motivation, problem-solving, criticality and real-life application. However, the actual implementation of an integrative approach to the teaching and learning of both subjects at classroom level, with in-service teachers working collaboratively, at second-level education, is under-researched due to the complexities of school-based research. This study reports on a year-long case study on the implementation of an integrated unit of learning on distance, speed and time, within three second-level schools in Ireland. This study employed a qualitative approach and examined the key aspects of practice that impact on the integration of mathematics and science teaching and learning. We argue that teacher perspective, teacher knowledge of the 'other subject' and of technological pedagogical content knowledge (TPACK), and teacher collaboration and support all impact on the implementation of an integrative approach to mathematics and science education.

Astronomy and Mathematics Education

NASA Astrophysics Data System (ADS)

Ros, Rosa M.

There are many European countries where Astronomy does not appear as a specific course on the secondary school. In these cases Astronomy content can be introduced by means of other subjects. There are some astronomical topics within the subject of Physics but this talk concerns introducing Astronomy in Mathematics classes. Teaching Astronomy through Mathematics would result in more exposure than through Physics as Mathematics is more prevalent in the curriculum. Generally it is not easy to motivate students in Mathematics but they are motivated to find out more about the universe and Astronomy current events than appears in the media. This situation can be an excellent introduction to several mathematics topics. The teachers in secondary and high school can use this idea in order to present more attractive mathematics courses. In particular some different examples will be offered regarding * Angles and spherical coordinates considering star traces * Logarithms and visual magnitudes * Plane trigonometry related orbital movements * Spherical trigonometry in connection with ecliptic obliquity * Conic curves related to sundial at several latitudes Some students do not enjoy studying Mathematics but they can be attracted by practical situations using Applied Mathematics: Astronomy is always very attractive to teenagers.

An Appropriate Culminating Mathematics Course.

ERIC Educational Resources Information Center

Haver, Bill; Turbeville, Gwen

1995-01-01

Describes a freshman level mathematics course designed as an alternate to algebra for non-science majors. Mathematical content is based on real-world situations, student activities include small and large projects done in groups or individually, and lecture time is held to a minimum. (MKR)

Mathematical Education for Geographers

ERIC Educational Resources Information Center

Wilson, Alan

1978-01-01

Outlines mathematical topics of use to college geography students identifies teaching methods for mathematical techniques in geography at the University of Leeds; and discusses problem of providing students with a framework for synthesizing all content of geography education. For journal availability, see SO 506 593. (Author/AV)

Literature-Based Teaching in the Content Areas: 40 Strategies for K-8 Classrooms

ERIC Educational Resources Information Center

Cox, Carole

2011-01-01

Grounded in theory and best-practices research, this practical text provides teachers with 40 strategies for using fiction and non-fiction trade books to teach in five key content areas: language arts and reading, social studies, mathematics, science, and the arts. Each strategy provides everything a teacher needs to get started: a classroom…

Learner-Content, Learner-Instructor, and Learner-Learner Interaction in a Web-Enhanced, Internet Videoconference AP Calculus Course

ERIC Educational Resources Information Center

Einfeld, Dana Hobbs

2014-01-01

The purpose of this action research was to investigate how the use of technology promotes interaction to foster high school students' mathematical understanding. This mixed method study is guided by social-constructivist theory (Vygotsky, 1978) and framed within Moore's (1989) model of learner-content, learner-instructor, and learner-learner…

Development of Pre-Service Physics Teachers' Pedagogical Content Knowledge (PCK) throughout Their Initial Training

ERIC Educational Resources Information Center

Karal, Isik Saliha; Alev, Nedim

2016-01-01

The purpose of this study was to investigate the development of pre-service physics teachers' pedagogical content knowledge (PCK) on the subject of electricity and magnetism after their completion of physics and mathematics courses. A descriptive longitudinal development research was carried out with 13 pre-service teachers (PTs) who completed…

Repairing Leaks in the Chemistry Teacher Pipeline: A Longitudinal Analysis of Praxis Chemistry Subject Assessment Examinees and Scores

ERIC Educational Resources Information Center

Shah, Lisa; Hao, Jie; Schneider, Jeremy; Fallin, Rebekah; Cortes, Kimberly Linenberger; Ray, Herman E.; Rushton, Gregory T.

2018-01-01

Teachers play a critical role in the preparation of future science, technology, engineering, and mathematics majors and professionals. What teachers know about their discipline (i.e., content knowledge) has been identified as an important aspect of instructional effectiveness; however, studies have not yet assessed the content knowledge of…

Project Based-Content Language Integrated Learning (CLIL) at Mathematics Department Universitas Lampung

ERIC Educational Resources Information Center

Yufrizal, Hery; Huzairin; Hasan, Basturi

2017-01-01

This article aims at exploring whether project based content language integrated learning (CLIL) has a significant effect on the oral capability of students of science department of the University of Lampung. The number of students involved in this study was 88 students. Quantitative data was obtained from the value of students' English…

Gastric residual volume (GRV) and gastric contents measurement by refractometry.

PubMed

Chang, Wei-Kuo; McClave, Stephen A; Hsieh, Chung-Bao; Chao, You-Chen

2007-01-01

Traditional use of gastric residual volumes (GRVs), obtained by aspiration from a nasogastric tube, is inaccurate and cannot differentiate components of the gastric contents (gastric secretion vs delivered formula). The use of refractometry and 3 mathematical equations has been proposed as a method to calculate the formula concentration, GRV, and formula volume. In this paper, we have validated these mathematical equations so that they can be implemented in clinical practice. Each of 16 patients receiving a nasogastric tube had 50 mL of water followed by 100 mL of dietary formula (Osmolite HN, Abbott Laboratories, Columbus, OH) infused into the stomach. After mixing, gastric content was aspirated for the first Brix value (BV) measurement by refractometry. Then, 50 mL of water was infused into the stomach and a second BV was measured. The procedure of infusion of dietary formula (100 mL) and then water (50 mL) was repeated and followed by subsequent BV measurement. The same procedure was performed in an in vitro experiment. Formula concentration, GRV, and formula volume were calculated from the derived mathematical equations. The formula concentrations, GRVs, and formula volumes calculated by using refractometry and the mathematical equations were close to the true values obtained from both in vivo and in vitro validation experiments. Using this method, measurement of the BV of gastric contents is simple, reproducible, and inexpensive. Refractometry and the derived mathematical equations may be used to measure formula concentration, GRV, and formula volume, and also to serve as a tool for monitoring the gastric contents of patients receiving nasogastric feeding.

Comparing the development of the multiplication of fractions in Turkish and American textbooks

NASA Astrophysics Data System (ADS)

Kar, Tuğrul; Güler, Gürsel; Şen, Ceylan; Özdemir, Ercan

2018-02-01

This study analyzed the methods used to teach the multiplication of fractions in Turkish and American textbooks. Two Turkish textbooks and two American textbooks, Everyday Mathematics (EM) and Connected Mathematics 3 (CM), were analyzed. The analyses focused on the content and the nature of the mathematical problems presented in the textbooks. The findings of the study showed that the American textbooks aimed at developing conceptual understanding first and then procedural fluency, whereas the Turkish textbooks aimed at developing both concurrently. The American textbooks provided more opportunities for different computational strategies. The solutions to most problems in all textbooks required a single computational step, a numerical answer, and procedural knowledge. Furthermore, compared with the Turkish textbooks, the American textbooks contained a greater number of problems that required high-level cognitive skills such as mathematical reasoning.

Development of a Performance Assessment Task and Rubric to Measure Prospective Secondary School Mathematics Teachers' Pedagogical Content Knowledge and Skills

ERIC Educational Resources Information Center

Koirala, Hari P.; Davis, Marsha; Johnson, Peter

2008-01-01

The purpose of this paper is to share a performance assessment task and rubric designed to assess secondary school mathematics preservice teachers' pedagogical content knowledge and skills. The assessment task and rubric were developed in collaboration with five education faculty, four arts and sciences faculty, and four high school teachers over…

Examining the Relationship between Thinking Styles and Technological Pedagogical Content Knowledge of the Candidate Mathematics Teachers

ERIC Educational Resources Information Center

Canbolat, Nuran; Erdogan, Ahmet; Yazlik, Derya Ozlem

2016-01-01

The aim of this research is measuring the technological pedagogical content knowledge of the candidate elementary mathematics teachers, identifying the thinking styles of the same candidates and finding out that whether there is a correlation or not. The research has the characteristics of a basic research to add new information to the scientific…

Mathematical Practice in Textbooks Analysis: Praxeological Reference Models, the Case of Proportion

ERIC Educational Resources Information Center

Wijayanti, Dyana; Winsløw, Carl

2017-01-01

We present a new method in textbook analysis, based on so-called praxeological reference models focused on specific content at task level. This method implies that the mathematical contents of a textbook (or textbook part) is analyzed in terms of the tasks and techniques which are exposed to or demanded from readers; this can then be interpreted…

Adapting Math Instruction to Support Prospective Elementary Teachers

ERIC Educational Resources Information Center

LeSage, Ann

2012-01-01

Purpose: Elementary teachers' understanding of mathematics is a significant contributor to student success with mathematics. Consequently, teacher educators are frequently charged with the responsibility of supporting the development of prospective elementary teachers' mathematics content knowledge as they re-learn concepts in ways they are…

Mathematically Gifted Third Graders--A Challenge in the Classroom.

ERIC Educational Resources Information Center

Wolfle, Jane A.

1988-01-01

The third-grade classroom teacher can identify mathematically gifted students and can provide them with opportunities for extending their understanding and enjoyment of mathematics through use of such techniques as content sophistication, enrichment, peer tutoring, curriculum compacting, puzzles, and math centers. (Author/JDD)

Teaching Mathematics Education with Cultural Competency

ERIC Educational Resources Information Center

Dornoo, Michael

2015-01-01

Students learn through connections when understanding is enhanced by a more holistic view of the content. When mathematics is presented from diverse perspectives, students with diverse backgrounds, expectations, histories, and experiences benefit greatly. In this article the author addresses the need to teach mathematics with cultural competency…

Graphing Calculators as Tools

ERIC Educational Resources Information Center

Browning, Christine A.; Garza-Kling, Gina

2010-01-01

Middle school mathematics classrooms are changing. The curriculum has changed as well. Instead of an annual return to previously encountered topics, many middle school students encounter mathematics of a varying nature, characterized in "Principles and Standards for School Mathematics" (NCTM 2000) as the five Content Standards of Number and…

Design and Development Computer-Based E-Learning Teaching Material for Improving Mathematical Understanding Ability and Spatial Sense of Junior High School Students

NASA Astrophysics Data System (ADS)

Nurjanah; Dahlan, J. A.; Wibisono, Y.

2017-02-01

This paper aims to make a design and development computer-based e-learning teaching material for improving mathematical understanding ability and spatial sense of junior high school students. Furthermore, the particular aims are (1) getting teaching material design, evaluation model, and intrument to measure mathematical understanding ability and spatial sense of junior high school students; (2) conducting trials computer-based e-learning teaching material model, asessment, and instrument to develop mathematical understanding ability and spatial sense of junior high school students; (3) completing teaching material models of computer-based e-learning, assessment, and develop mathematical understanding ability and spatial sense of junior high school students; (4) resulting research product is teaching materials of computer-based e-learning. Furthermore, the product is an interactive learning disc. The research method is used of this study is developmental research which is conducted by thought experiment and instruction experiment. The result showed that teaching materials could be used very well. This is based on the validation of computer-based e-learning teaching materials, which is validated by 5 multimedia experts. The judgement result of face and content validity of 5 validator shows that the same judgement result to the face and content validity of each item test of mathematical understanding ability and spatial sense. The reliability test of mathematical understanding ability and spatial sense are 0,929 and 0,939. This reliability test is very high. While the validity of both tests have a high and very high criteria.

TPACK and Pre-Service Teacher Mathematics Education: Defining a Signature Pedagogy for Mathematics Education Using ICT and Based on the Metaphor "Mathematics Is a Language"

ERIC Educational Resources Information Center

Larkin, Kevin; Jamieson-Proctor, Romina; Finger, Glenn

2012-01-01

National professional standards for teachers in Australia (AITSL, 2011) expect teacher education graduates to demonstrate technological, pedagogical and content knowledge (TPACK). Those standards have emerged concurrently with the development of a new Australian mathematics curriculum. Thus, the expectation is that graduates can demonstrate the…

An Examination of the Levels of Cognitive Demand Required by Probability Tasks in Middle Grades Mathematics Textbooks

ERIC Educational Resources Information Center

Jones, Dustin L.; Tarr, James E.

2007-01-01

We analyze probability content within middle grades (6, 7, and 8) mathematics textbooks from a historical perspective. Two series, one popular and the other alternative, from four recent eras of mathematics education (New Math, Back to Basics, Problem Solving, and Standards) were analyzed using the Mathematical Tasks Framework (Stein, Smith,…

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

ERIC Educational Resources Information Center

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

2015-01-01

One important function of school mathematics curriculum is to prepare high school students with the knowledge and skills needed for university education. Identifying them empirically will help making sound decisions about the contents of high school mathematics curriculum. It will also help students to make informed choices in course selection at…

An Ode to Imre Lakatos: Quasi-Thought Experiments to Bridge the Ideal and Actual Mathematics Classrooms

ERIC Educational Resources Information Center

Sriraman, Bharath

2006-01-01

This paper explores the wide range of mathematics content and processes that arise in the secondary classroom via the use of unusual counting problems. A universal pedagogical goal of mathematics teachers is to convey a sense of unity among seemingly diverse topics within mathematics. Such a goal can be accomplished if we could conduct classroom…

"Attrition Processes Out of Mathematics for Undergraduate Students." Attrition from Mathematics as a Social Process. Final Report.

ERIC Educational Resources Information Center

Maines, David R.; And Others

Investigated were those long-term processes which contribute to high rates of attrition for women out of mathematics. It is based on the contention that university students drop out of mathematics as a consequence of prior socialization, educational career contingencies, and goal commitment and career aspirations, with the mix of these factors…

Content-Related Evidence for Validity for Mathematics Tests: Teacher Review. Technical Report # 42

ERIC Educational Resources Information Center

Martinez, Martha I.; Ketterlin-Geller, Leanne; Tindal, Gerald

2007-01-01

Behavioral Research and Teaching (BRT) has developed a series of mathematics tests to assist local school districts in identifying students in grades 1-8 who may be at risk of not meeting year-end mathematics achievement goals. The tests were developed using the state mathematics standards for the relevant grade levels and administered to students…

Examining the Relationship between Secondary Mathematics Teachers' Self-Efficacy, Attitudes, and Use of Technology to Support Communication and Mathematics Literacy

ERIC Educational Resources Information Center

Letwinsky, Karim Medico

2017-01-01

The rich language surrounding mathematical concepts often is reduced in many classrooms to a narrow process of memorizing isolated procedures with little context. This approach has proven to be detrimental to students' ability to understand mathematics at deeper levels and remain engaged with this content. The current generation of students values…

Transition from Realistic to Real World Problems with the Use of Technology in Elementary Mathematical Education

ERIC Educational Resources Information Center

Budinski, Natalija; Milinkovic, Dragica

2017-01-01

The availability of technology has a big impact on education, and that is the main reason for discussing the use of technologies in mathematical education in our paper. The availability of technology influences how mathematical contents could be presented to students. We present the benefits of learning mathematical concepts through real life…

Exploration of Pre-Service Teachers' Beliefs in Relation to Mathematics Teaching Activities in Classroom-Based Setting

ERIC Educational Resources Information Center

Kul, Umit; Celik, Sedef

2017-01-01

This paper has been conducted to determine future teachers' mathematical beliefs and to explore the relationship between their mathematical beliefs and initial teaching practice in a classroom setting, in terms of how they design the content of teaching activities, they employed the style of teaching in mathematics, and they engaged with pupils. A…

Validation the use of refractometer and mathematic equations to measure dietary formula contents for clinical application.

PubMed

Chang, W-K; Chao, Y-C; Mcclave, S-A; Yeh, M-K

2005-10-01

Gastric residual volumes are widely used to evaluate gastric emptying for patients receiving enteral feeding, but controversy exists about what constitutes gastric residual volume. We have developed a method by using refractometer and derived mathematical equations to calculate the formula concentration, total residual volume (TRV), and formula volume. In this study, we like to validate these mathematical equations before they can be implemented for clinical patient care. Four dietary formulas were evaluated in two consecutive validation experiments. Firstly, dietary formula volume of 50, 100, 200, and 400 ml were diluted with 50 ml water, and then the Brix value (BV) was measured by the refractometer. Secondly, 50 ml of water, then 100 ml of dietary formula were infused into a beaker, and followed by the BV measurement. After this, 50 ml of water was infused and followed by the second BV measurement. The entire procedure of infusing of dietary formula (100 ml) and waster (50 ml) was repeated twice and followed by the BV measurement. The formula contents (formula concentration, TRV, and formula volume) were calculated by mathematical equations. The calculated formula concentrations, TRVs, and formula volumes measured from mathematic equations were strongly close to the true values in the first and second validation experiments (R2>0.98, P<0.001). Refractometer and the derived mathematical equations may be used to accurately measure the formula concentration, TRV, and formula volume and served as a tool to monitor gastric emptying for patients receiving enteral feeding.

Evaluating the (Mis)Alignment of the Intended to the Assessed Curriculum for the U.S.: Implications for the Common Core State Standards for Mathematics

ERIC Educational Resources Information Center

Shivraj, Pooja

2017-01-01

The Programme of International Student Assessment (PISA) has been administered to 15-year- olds every three years since 2000. Since then, the U.S. has performed below average in mathematics, with no significant changes in performance. The objective of this study was to examine the alignment of the content students in the U.S. are assessed on in…

Toward a Political Economy of Mathematics Education

ERIC Educational Resources Information Center

Harouni, Houman

2015-01-01

Why do schools teach the mathematics that they do? In this essay, Houman Harouni asserts that educational institutions offer mathematics standards and curricula without providing convincing justifications and that students are tested on content whose purpose neither they nor their teachers clearly understand. He proposes a theoretical framework…

The Role of the Mathematics Supervisor in K-12 Education

ERIC Educational Resources Information Center

Greenes, Carole

2013-01-01

The implementation of "the Common Core Standards for Mathematics" and the assessments of those concepts, skills, reasoning methods, and mathematical practices that are in development necessitate the updating of teachers' knowledge of content, pedagogical techniques to enhance engagement and persistence, and strategies for responding to…

Detailing Relational Interactions in Urban Elementary Mathematics Classrooms

ERIC Educational Resources Information Center

Battey, Dan; Neal, Rebecca A.

2018-01-01

The lack of quality of instruction in urban mathematics classrooms in the United States has received much attention in the scholarly literature. Other classroom mechanisms such as relational interactions, however, have not received much attention of mathematics education researchers. Relational interactions go above and beyond content instruction…

Mathematics Education in Poland.

ERIC Educational Resources Information Center

Szetela, Walter; Dindorf, Antoni

1982-01-01

This report is based upon three weeks of intensive observations of Polish classrooms from primary to university mathematics. A high level of mathematics content compared to North American schools, a high level of teacher dominance, and the use of specialists in grades 5-12 were among the points noted. (MP)

Developing a Pedagogically Useful Content Knowledge in Elementary Mathematics.

ERIC Educational Resources Information Center

Peck, Donald M.; Connell, Michael L.

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…

Reconstructing Mathematics Pedagogy from a Constructivist Perspective.

ERIC Educational Resources Information Center

Simon, Martin A.

1995-01-01

Begins with an overview of the constructivist perspective and the pedagogical theory development upon which a constructivist teaching experiment with 20 prospective elementary teachers was based. Derives a theoretical framework for mathematics pedagogy with a focus on decisions about content and mathematical tasks. (49 references) (Author/DDD)

Teaching Mathematics Using Steplets

ERIC Educational Resources Information Center

Bringslid, Odd; Norstein, Anne

2008-01-01

This article evaluates online mathematical content used for teaching mathematics in engineering classes and in distance education for teacher training students. In the EU projects Xmath and dMath online computer algebra modules (Steplets) for undergraduate students assembled in the Xmath eBook have been designed. Two questionnaires, a compulsory…

Calculating Puddle Size

ERIC Educational Resources Information Center

Burton, Megan; Mims, Patricia

2012-01-01

Learning through meaningful problem solving is integral in any successful mathematics program (Carpenter et al. 1999). The National Council of Teachers of Mathematics (NCTM) promotes the use of problem solving as a means to deepen understanding of all content areas within mathematics (NCTM 2000). This article describes a first-grade lesson that…

A study of the continuum of integration of mathematics content with science concepts at the middle school level in West Virginia

NASA Astrophysics Data System (ADS)

Meisel, Edna Marie

The purpose of this study was to examine the practices and perceptions of regular education seventh grade middle school mathematics teachers in West Virginia concerning the integration of mathematics objectives with science concepts. In addition, this study also emphasized the use of integrated curriculum continuum models to study mathematics teachers' practices and perceptions for teaching mathematics objectives in connection with science concepts. It was argued that the integrated curriculum continuum model can be used to help educators begin to form a common definition of integrated curriculum. The population was described as the regular education seventh grade middle school mathematics teachers in West Virginia. The entire population (N = 173) was used as the participants in this study. Data was collected using an integrated curriculum practices and perceptions survey constructed by the researcher. This was a descriptive study that incorporated the Chi Square statistic to show trends in teacher practices and perceptions. Also, an ex post facto design, that incorporated the Mann-Whitney U statistic, was used to compare practices and perceptions between teachers grouped according to factors that influence teaching practices and perceptions. These factors included teaching certificate endorsement and teacher professional preparation. Results showed that the regular education seventh grade middle school mathematics teachers of West Virginia are teaching mathematics objectives mainly at a discipline-based level with no formal attempt for integration with science concepts. However, these teachers perceived that many of the mathematics objectives should be taught at varying levels of integration with science concepts. It was also shown that teachers who experienced professional preparation courses that emphasized integrated curriculum courses did teach many of the mathematics objectives at higher levels of integration with science than those teachers who did not experience integrated curriculum courses.

IBM techexplorer and MathML: Interactive Multimodal Scientific Documents

NASA Astrophysics Data System (ADS)

Diaz, Angel

2001-06-01

The World Wide Web provides a standard publishing platform for disseminating scientific and technical articles, books, journals, courseware, or even homework on the internet; however, the transition from paper to web-based interactive content has brought new opportunities for creating interactive content. Students, scientists, and engineers are now faced with the task of rendering the 2D presentational structure of mathematics, harnessing the wealth of scientific and technical software, and creating truly accessible scientific portals across international boundaries and markets. The recent emergence of World Wide Web Consortium (W3C) standards such as the Mathematical Markup Language (MathML), Language (XSL), and Aural CSS (ACSS) provide a foundation whereby mathematics can be displayed, enlivened, computed, and audio formatted. With interoperability ensured by standards, software applications can be easily brought together to create extensible and interactive scientific content. In this presentation we will provide an overview of the IBM techexplorer Hypermedia Browser, a web browser plug-in and ActiveX control aimed at bringing interactive mathematics to the masses across platforms and applications. We will demonstrate "live" mathematics where documents that contain MathML expressions can be edited and computed right inside your favorite web browser. This demonstration will be generalized as we show how MathML can be used to enliven even PowerPoint presentations. Finally, we will close the loop by demonstrating a novel approach to spoken mathematics based on MathML, DOM, XSL, ACSS, techexplorer, and IBM ViaVoice. By making use of techexplorer as the glue that binds the rendered content to the web browser, the back-end computation software, the Java applets that augment the exposition, and voice-rendering systems such as ViaVoice, authors can indeed create truly extensible and interactive scientific content. For more information see: [http://www.software.ibm.com/techexplorer] [http://www.alphaworks.ibm.com] [http://www.w3.org

Curvature and the visual perception of shape: theory on information along object boundaries and the minima rule revisited.

PubMed

Lim, Ik Soo; Leek, E Charles

2012-07-01

Previous empirical studies have shown that information along visual contours is known to be concentrated in regions of high magnitude of curvature, and, for closed contours, segments of negative curvature (i.e., concave segments) carry greater perceptual relevance than corresponding regions of positive curvature (i.e., convex segments). Lately, Feldman and Singh (2005, Psychological Review, 112, 243-252) proposed a mathematical derivation to yield information content as a function of curvature along a contour. Here, we highlight several fundamental errors in their derivation and in its associated implementation, which are problematic in both mathematical and psychological senses. Instead, we propose an alternative mathematical formulation for information measure of contour curvature that addresses these issues. Additionally, unlike in previous work, we extend this approach to 3-dimensional (3D) shape by providing a formal measure of information content for surface curvature and outline a modified version of the minima rule relating to part segmentation using curvature in 3D shape. Copyright 2012 APA, all rights reserved.

Financial Analysis and Mathematics of Business: Part IV in a Series--Preparation for Certified Professional Secretary Examination. An Instructor's Guide for an Adult Course.

ERIC Educational Resources Information Center

Gonyea, Adrian C.

The instructor's guide provides a review for those preparing to take Part IV of the Certified Professional Secretary (CPS) examination. Course content can also help secretaries update their skills in accounting and business mathematics. Organized into lessons with objectives, content outline, and teaching suggestions and references, the units…

The Effects of CLIL Education on the Subject Matter (Mathematics) and the Target Language (English)

ERIC Educational Resources Information Center

Ouazizi, Khalid

2016-01-01

This paper investigates the effects of Content and Language Integrated Learning, CLIL for short, on both the attainment of the subject matter, mathematics in our case, hence the content aspect of CLIL. The second axes of research focuses on the effect of CLIL on the learners' proficiency vis-à-vis the language of instruction, epitomized here by…

Assessing Quality in the Teaching of Content to English Language Learners. Research Report. ETS RR-12-10

ERIC Educational Resources Information Center

Turkan, Sultan; Croft, Andrew; Bicknell, Jerome; Barnes, Andwatta

2012-01-01

This paper offers a chain of evidence collected to identify and verify the domain of teacher knowledge and skills required to teach ELLs content effectively in mathematics, science, reading/English language arts, and social studies. We initially assessed this domain through a review of literature and state standards for nonspecialized teacher…

First Graders' Responses to School-Taught Mathematics as a Function of Their Spontaneous Conceptions of Basic Algebraic Relationships.

ERIC Educational Resources Information Center

Kaplan, Rochelle Goldberg

The rationale of this study is based on the premise that the outcomes of children's learning are specifically shaped by the interaction of their individual cognitive structures with the presentations of curricular content in the classroom. Therefore, since the interpretive tools that children apply to instructional content may vary substantially,…

Computer-Assisted Problem Solving in School Mathematics

ERIC Educational Resources Information Center

Hatfield, Larry L.; Kieren, Thomas E.

1972-01-01

A test of the hypothesis that writing and using computer programs related to selected mathematical content positively affects performance on those topics. Results particularly support the hypothesis. (MM)

Mathematical Ability Relies on Knowledge, Too

ERIC Educational Resources Information Center

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

2011-01-01

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

A School-Based Professional Development Programme for Teachers of Mathematical Modelling in Singapore

ERIC Educational Resources Information Center

Tan, Liang Soon; Ang, Keng Cheng

2016-01-01

A school-based professional development programme (SBPD) aimed at developing secondary school mathematics teachers' competencies to teach mathematical modelling in Singapore is presented and evaluated in this article. The SBPD is characterized by two key features--content elements to develop teachers' knowledge and skills, and transformative…

BIBLIOGRAPHIES, HIGH SCHOOL MATHEMATICS.

ERIC Educational Resources Information Center

WOODS, PAUL E.

THIS ANNOTATED BIBLIOGRAPHY IS A COMPILATION OF A NUMBER OF HIGHLY REGARDED BOOK LISTS CONSISTING OF LIBRARY BOOKS AND TEXTBOOKS FOR GRADES 7-12. THE BOOKS IN THIS LIST ARE CURRENTLY IN PRINT AND THE CONTENT IS REPRESENTATIVE OF THE FOLLOWING AREAS OF MATHEMATICS--MATHEMATICAL RECREATION, COMPUTERS, ARITHMETIC, ALGEBRA, EUCLIDEAN GEOMETRY,…

Democratizing Access to Core Mathematics across Grades 9-12

ERIC Educational Resources Information Center

Hegedus, Stephen; Dalton, Sara; Brookstein, Arden; Tapper, John; Heller, Eric

2011-01-01

The authors' proposed work builds upon 12+ years of research collectively known as the "SimCalc Projects." SimCalc Connected MathWorlds (SCM) combines two innovative technological ingredients to address core mathematical ideas in deep and sustainable ways for mathematics learners. Software that addresses content issues through dynamic…

Chattanooga Math Trail: Community Mathematics Modules, Volume 1.

ERIC Educational Resources Information Center

McAllister, Deborah A.; Mealer, Adrian; Moyer, Peggy S.; McDonald, Shirley A.; Peoples, John B.

This collection of community mathematics modules, or "math trail", is appropriate for middle grades and high school students (grades 5-12). Collectively, the modules pay attention to all 10 of the National Council of Teachers of Mathematics (NCTM) standards which include five content standards (Number and Operations, Algebra, Geometry,…

Authentic Teaching Experiences in Secondary Mathematics Methods

ERIC Educational Resources Information Center

Stickles, Paula R.

2015-01-01

Often secondary mathematics methods courses include classroom peer teaching, but many pre-service teachers find it challenging to teach their classmate peers as there are no discipline issues and little mathematical discourse as the "students" know the content. We will share a recent change in our methods course where pre-service…

Addressing Dilemmas of Social Justice Mathematics Instruction through Collaboration of Students, Educators, and Researchers

ERIC Educational Resources Information Center

Kokka, Kari

2015-01-01

Social justice mathematics educators explicitly aim to develop students' sociopolitical consciousness in addition to teaching mathematics content (Gutiérrez 2013; Gutstein 2006). Sociopolitical consciousness refers to Paulo Freire's (1970) concept of "conscientização," or learning to perceive social, political, and economic…

Reinventing the Undergraduate Curriculum: Strategies To Enhance Student Learning in Mathematics and Science.

ERIC Educational Resources Information Center

Nelson, Barbara J., Comp.; Wallner, Barbara K., Comp.; Powers, Myra L. Ed.; Hartley, Nancy K., Ed.

This publication is a compilation of examples of practical, easily implemented activities to help mathematics, science, and education faculty duplicate efforts by the Rocky Mountain Teacher Education Collaborative (RMTEC) to reform and revise curriculum for preservice educators. Activities are organized by content areas: mathematics; geology,…

Virginia's College and Career Ready Mathematics Performance Expectations

ERIC Educational Resources Information Center

Virginia Department of Education, 2011

2011-01-01

The Mathematics Performance Expectations (MPE) define the content and level of achievement students must reach to be academically prepared for success in entry-level, credit-bearing mathematics courses in college or career training. They were developed through a process that involved faculty from Virginia's two- and four-year colleges and…

The Australian Mathematics Curriculum: A Move Forward or Back to the Future?

ERIC Educational Resources Information Center

Atweh, Bill; Goos, Merrilyn

2011-01-01

The release of the "Australian curriculum: Mathematics" has generated considerable debate in the education community. Some educators warn that this debate has centred on mathematical content and skills, setting the conditions for a "back to basics" movement in line with the political rhetoric that accompanied the national…

An Intelligent Tutor-Assisted Mathematics Intervention Program for Students with Learning Difficulties

ERIC Educational Resources Information Center

Xin, Yan Ping; Tzur, Ron; Hord, Casey; Liu, Jia; Park, Joo Young; Si, Luo

2017-01-01

The Common Core Mathematics Standards have raised expectations for schools and students in the United States. These standards demand much deeper content knowledge from teachers of mathematics and their students. Given the increasingly diverse student population in today's classrooms and shortage of qualified special education teachers,…

Integrating Literature into the Teaching of Mathematics

ERIC Educational Resources Information Center

Cox, Teodora

2016-01-01

Mathematics teachers are frequently looking for real-life applications and meaningful integration of mathematics and other content areas. Many genuinely seek to reach out to students and help them make connections between the often abstract topics taught in school. In this article the author presents ideas on integrating literature and mathematics…

Elementary Administrators' Mathematics Supervision and Self-Efficacy Development

ERIC Educational Resources Information Center

Johnson, Kelly M. Gomez

2017-01-01

Mathematics curriculum reform is changing the content and resources in today's elementary classrooms as well as the culture of mathematics teaching and learning. Administrators face the challenge of leading large-scale curricular change efforts with limited prior knowledge or experiences with reform curricula structures. Administrators, as the…

Mathematical Explorations: Freshwater Scarcity: A Proportional Representation

ERIC Educational Resources Information Center

King, Alessandra

2014-01-01

Middle school students' mathematical understanding benefits from connecting mathematics to other content areas in the curriculum. This month's activity explores the issue of the scarcity of freshwater, a natural resource (activity sheets are included). This activity concentrates on the critical areas mentioned in the Common Core State…

The Development of Beginning Mathematics Teacher Pedagogical Content Knowledge

ERIC Educational Resources Information Center

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

2013-01-01

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

Reflective Field Experiences for Success in Teaching Elementary Mathematics

ERIC Educational Resources Information Center

Robards, Shirley N.

2009-01-01

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…

Special Educators and Mathematics Phobia: An Initial Qualitative Investigation

ERIC Educational Resources Information Center

Humphrey, Michael; Hourcade, Jack J.

2010-01-01

Special educators are uniquely challenged to be content experts in all curricular areas, including mathematics, because students in their caseloads may require academic instruction in any area. However, special educators with math phobia may be limited in their ability to provide effective instruction to their students with mathematical deficits…

GOALS FOR SCHOOL MATHEMATICS, THE REPORT OF THE CONFERENCE ON SCHOOL MATHEMATICS (CAMBRIDGE, MASSACHUSETTS, 1963).

ERIC Educational Resources Information Center

Educational Services, Inc., Watertown, MA.

REPORTED ARE THE TENTATIVE VIEWS OF A GROUP OF MATHEMATICIANS ON THE CONTENT OF A PRE-COLLEGE MATHEMATICS CURRICULUM THAT MIGHT CONCEIVABLY REPRESENT THE TYPE OF PROGRAM WHICH WILL BE OPERATING IN A FEW DECADES. THE COMMITTEE PRESENTS ITS VIEWS, NOT AS A CURRICULUM GUIDE FOR ADMINISTRATORS AND MATHEMATICS EDUCATORS, BUT AS A BASIS FOR DISCUSSION,…

Mathematics Models in Chemistry--An Innovation for Non-Mathematics and Non-Science Majors

ERIC Educational Resources Information Center

Rash, Agnes M.; Zurbach, E. Peter

2004-01-01

The intention of this article is to present a year-long interdisciplinary course, Mathematical Models in Chemistry. The course is comprised of eleven units, each of which has both a mathematical and a chemical component. A syllabus of the course is given and the format of the class is explained. The interaction of the professors and the content is…

The Nation's Report Card: A First Look--2013 Mathematics and Reading. National Assessment of Educational Progress at Grades 4 and 8. NCES 2014-451

ERIC Educational Resources Information Center

National Center for Education Statistics, 2013

2013-01-01

The National Assessment of Educational Progress (NAEP) mathematics assessment measures students' knowledge and skills in mathematics and students' ability to apply their knowledge in problem-solving situations. At each grade, students responded to questions designed to measure what they know and can do across five mathematics content areas: number…

Euclid Must Go?

ERIC Educational Resources Information Center

Cornelius, M. L.

1973-01-01

The content of geometry in new mathematics books and in secondary school mathematics courses is discussed, and the suggestion is made that appropriate doses'' of formal reasoning be included at appropriate levels. (DT)

Developing Assessment through Lesson Study

ERIC Educational Resources Information Center

Fischman, Davida; Wasserman, Kelli

2017-01-01

Lesson study cultivates teachers' capacity for formative assessment by placing student thinking front and center throughout. Lesson study is a form of professional development in which a team of teachers determines a mathematical focus, collaboratively studies student thinking about the topic, designs a lesson about this content, implements the…

Usability of American Sign Language Videos for Presenting Mathematics Assessment Content.

PubMed

Hansen, Eric G; Loew, Ruth C; Laitusis, Cara C; Kushalnagar, Poorna; Pagliaro, Claudia M; Kurz, Christopher

2018-04-12

There is considerable interest in determining whether high-quality American Sign Language videos can be used as an accommodation in tests of mathematics at both K-12 and postsecondary levels; and in learning more about the usability (e.g., comprehensibility) of ASL videos with two different types of signers - avatar (animated figure) and human. The researchers describe the results of administering each of nine pre-college mathematics items in both avatar and human versions to each of 31 Deaf participants with high school and post-high school backgrounds. This study differed from earlier studies by obliging the participants to rely on the ASL videos to answer the items. While participants preferred the human version over the avatar version (apparently due largely to the better expressiveness and fluency of the human), there was no discernible relationship between mathematics performance and signed version.

Hearing Math: Algebra Supported eText for Students With Visual Impairments.

PubMed

Bouck, Emily C; Weng, Pei-Lin

2014-01-01

Supported eText for students with visual impairments in mathematics has a promising, emerging literature base, although little of the existing research focuses on implementation within a classroom setting. This qualitative study sought to understand the use of supported eText to deliver algebra to students with visual impairments enrolled in algebra mathematics courses. The study also sought to explore supported eText in contrast to students' traditional means of accessing an algebra text. The main results suggest supported eText holds potential in terms of delivering mathematics content; however, more research and more reflection on the field is needed regarding this approach as a sole means of presenting text. Implications for teacher professional development and implementation practices are discussed.

Systematized water content calculation in cartilage using T1-mapping MR estimations: design and validation of a mathematical model.

PubMed

Shiguetomi-Medina, J M; Ramirez-Gl, J L; Stødkilde-Jørgensen, H; Møller-Madsen, B

2017-09-01

Up to 80 % of cartilage is water; the rest is collagen fibers and proteoglycans. Magnetic resonance (MR) T1-weighted measurements can be employed to calculate the water content of a tissue using T1 mapping. In this study, a method that translates T1 values into water content data was tested statistically. To develop a predictive equation, T1 values were obtained for tissue-mimicking gelatin samples. 1.5 T MRI was performed using inverse angle phase and an inverse sequence at 37 (±0.5) °C. Regions of interest were manually delineated and the mean T1 value was estimated in arbitrary units. Data were collected and modeled using linear regression. To validate the method, articular cartilage from six healthy pigs was used. The experiment was conducted in accordance with the Danish Animal Experiment Committee. Double measurements were performed for each animal. Ex vivo, all water in the tissue was extracted by lyophilization, thus allowing the volume of water to be measured. This was then compared with the predicted water content via Lin's concordance correlation coefficient at the 95 % confidence level. The mathematical model was highly significant when compared to a null model (p < 0.0001). 97.3 % of the variation in water content can be explained by absolute T1 values. Percentage water content could be predicted as 0.476 + (T1 value) × 0.000193 × 100 %. We found that there was 98 % concordance between the actual and predicted water contents. The results of this study demonstrate that MR data can be used to predict percentage water contents of cartilage samples. 3 (case-control study).

Blooms' separation of the final exam of Engineering Mathematics II: Item reliability using Rasch measurement model

NASA Astrophysics Data System (ADS)

Fuaad, Norain Farhana Ahmad; Nopiah, Zulkifli Mohd; Tawil, Norgainy Mohd; Othman, Haliza; Asshaari, Izamarlina; Osman, Mohd Hanif; Ismail, Nur Arzilah

2014-06-01

In engineering studies and researches, Mathematics is one of the main elements which express physical, chemical and engineering laws. Therefore, it is essential for engineering students to have a strong knowledge in the fundamental of mathematics in order to apply the knowledge to real life issues. However, based on the previous results of Mathematics Pre-Test, it shows that the engineering students lack the fundamental knowledge in certain topics in mathematics. Due to this, apart from making improvements in the methods of teaching and learning, studies on the construction of questions (items) should also be emphasized. The purpose of this study is to assist lecturers in the process of item development and to monitor the separation of items based on Blooms' Taxonomy and to measure the reliability of the items itself usingRasch Measurement Model as a tool. By using Rasch Measurement Model, the final exam questions of Engineering Mathematics II (Linear Algebra) for semester 2 sessions 2012/2013 were analysed and the results will provide the details onthe extent to which the content of the item providesuseful information about students' ability. This study reveals that the items used in Engineering Mathematics II (Linear Algebra) final exam are well constructed but the separation of the items raises concern as it is argued that it needs further attention, as there is abig gap between items at several levels of Blooms' cognitive skill.

Modelling Plane Geometry: the connection between Geometrical Visualization and Algebraic Demonstration

NASA Astrophysics Data System (ADS)

Pereira, L. R.; Jardim, D. F.; da Silva, J. M.

2017-12-01

The teaching and learning of Mathematics contents have been challenging along the history of the education, both for the teacher, in his dedicated task of teaching, as for the student, in his arduous and constant task of learning. One of the topics that are most discussed in these contents is the difference between the concepts of proof and demonstration. This work presents an interesting discussion about such concepts considering the use of the mathematical modeling approach for teaching, applied to some examples developed in the classroom with a group of students enrolled in the discipline of Geometry of the Mathematics curse of UFVJM.

The influence of test mode and visuospatial ability on mathematics assessment performance

NASA Astrophysics Data System (ADS)

Logan, Tracy

2015-12-01

Mathematics assessment and testing are increasingly situated within digital environments with international tests moving to computer-based testing in the near future. This paper reports on a secondary data analysis which explored the influence the mode of assessment—computer-based (CBT) and pencil-and-paper based (PPT)—and visuospatial ability had on students' mathematics test performance. Data from 804 grade 6 Singaporean students were analysed using the knowledge discovery in data design. The results revealed statistically significant differences between performance on CBT and PPT test modes across content areas concerning whole number algebraic patterns and data and chance. However, there were no performance differences for content areas related to spatial arrangements geometric measurement or other number. There were also statistically significant differences in performance between those students who possess higher levels of visuospatial ability compared to those with lower levels across all six content areas. Implications include careful consideration for the comparability of CBT and PPT testing and the need for increased attention to the role of visuospatial reasoning in student's mathematics reasoning.

Nuevo enfoque de la ensenanza de las matematicas en el nivel de primaria (A New Approach to the Teaching of Mathematics at the Primary School Level).

ERIC Educational Resources Information Center

Jimenez Lozano, Blanca; And Others

This document is an English-language abstract (approximately 1500 words) of a new approach to the teaching of mathematics in Mexican elementary schools. Three aspects of mathematical reform are discussed: (1) syllabus content; (2) teaching methods; and (3) the question of introducing the pupil to modern mathematics at the earliest possible stage…

Purpose and Education: The Case of Mathematics

ERIC Educational Resources Information Center

Harouni, Houman

2015-01-01

Why do schools teach mathematics, and why do they teach the mathematics that they do? In this three-part dissertation, I argue that the justifications offered by national education systems are not convincing, and that students are tested on content whose purpose neither they nor their teachers clearly understand. In the first part of the…

Connecting Pre-Service Teachers with Contemporary Mathematics Practices: Selecting and Sequencing Students' Work Samples

ERIC Educational Resources Information Center

Livy, Sharyn; Muir, Tracey; Downton, Ann

2017-01-01

One of the challenges facing teacher educators is providing our pre-service teachers (PSTs) with authentic experiences that cross the boundaries between Initial Teacher Education (ITE) and the classroom. An additional challenge facing the mathematics teacher educator, is addressing and deepening PSTs' mathematical content knowledge (MCK), which…

The Mathematics of Skateboarding: A Relevant Application of the 5Es of Constructivism

ERIC Educational Resources Information Center

Robertson, William H.; Meyer, Rachelle D.; Wilkerson, Trena L.

2012-01-01

Getting high school students to enjoy mathematics and to connect concepts to their daily lives is a challenge for many educators. The Mathematics of Skateboarding demonstrated innovative and creative ways to engage students in content and skills mapped to state requirements for high school students in Algebra and Geometry.

Elementary Teachers' Understanding and Use of Cognition Based Assessment Learning Progression Materials for Multiplication and Division

ERIC Educational Resources Information Center

Harrison, Ryan Matthew

2012-01-01

Teachers' knowledge of mathematical content and children's mathematical thinking have been identified as critical elements related to teachers' ability to effectively teach mathematics (Fennema & Franke, 1992; Kazemi & Franke, 2001; Ma, 1999; Peterson, Carpenter, & Fennema, 1989). Literature on teachers' knowledge…

Evaluation of the Correlated Science and Mathematics Professional Development Model, 2009-2010 Cohort

ERIC Educational Resources Information Center

Morlier, Rebecca

2012-01-01

The purpose of this paper is to evaluate the effectiveness of the 2009-2010 iteration of the Correlated Science and Mathematics (CSM) professional development program which provides teachers and principals experience with integrated and effective science and mathematics teaching strategies and content. Archival CSM data was analyzed via mixed…

Leading People: Leadership in Mathematics Education

ERIC Educational Resources Information Center

Kilpatrick, Jeremy

2013-01-01

The issue of leadership in mathematics education--always a matter of some contention--has been complicated by developments in the field over the past half century or so. When mathematics education began to emerge as an academic field at the beginning of the twentieth century, so few people were seriously concerned with either its practice or its…

Provoking Contingent Moments: Knowledge for "Powerful Teaching" at the Horizon

ERIC Educational Resources Information Center

Hurst, Chris

2017-01-01

Background: Teacher knowledge continues to be a topic of debate in Australasia and in other parts of the world. There have been many attempts by mathematics educators and researchers to define the knowledge needed by teachers to teach mathematics effectively. A plethora of terms, such as mathematical content knowledge, pedagogical content…

Goldilocks Discourse--Math Scaffolding That's Just Right

ERIC Educational Resources Information Center

Dale, Rachel; Scherrer, Jimmy

2015-01-01

The Common Core has brought a sharp shift in what it means to be mathematically literate. Becoming mathematically literate is now as much a matter of acquiring mathematical practices as of acquiring any defined set of content standards. This more ambitious definition of literacy presents a challenge not only for students, but also for teachers who…

Mathematics Teachers' Take-Aways from Morning Math Problems in a Long-Term Professional Development Project

ERIC Educational Resources Information Center

Sevis, Serife; Cross, Dionne; Hudson, Rick

2017-01-01

Considering the role of mathematics-focused professional development programs in improving teachers' content knowledge and quality of teaching, we provided teachers opportunities for dealing with mathematics problems and positioning themselves as students in a large-scale long-term professional development (PD) project. In this proposal, we aimed…

Community College Pathways: A Descriptive Report of Summative Assessments and Student Learning

ERIC Educational Resources Information Center

Strother, Scott; Sowers, Nicole

2014-01-01

Carnegie's Community College Pathways (CCP) offers two pathways, Statway® and Quantway®, that reduce the amount of time required to complete developmental mathematics and earn college-level mathematics credit. The Pathways aim to improve student success in mathematics while maintaining rigorous content, pedagogy, and learning outcomes. It is…

Recommendations for an Undergraduate Program in Computational Mathematics.

ERIC Educational Resources Information Center

Committee on the Undergraduate Program in Mathematics, Berkeley, CA.

This report describes an undergraduate program designed to produce mathematicians who will know how to use and to apply computers. There is a core of 12 one-semester courses: five in mathematics, four in computational mathematics and three in computer science, leaving the senior year for electives. The content and spirit of these courses are…

Engaging Life-Sciences Students with Mathematical Models: Does Authenticity Help?

ERIC Educational Resources Information Center

Poladian, Leon

2013-01-01

Compulsory mathematics service units for the life sciences present unique challenges: even students who learn some specific skills maintain a negative attitude to mathematics and do not see the relevance of the unit towards their degree. The focus on authentic content and the presentation and teaching of global or qualitative methods before…

Teacher Questioning and Invitations to Participate in Advanced Mathematics Lectures

ERIC Educational Resources Information Center

Paoletti, Teo; Krupnik, Victoria; Papadopoulos, Dimitrios; Olsen, Joseph; Fukawa-Connelly, Tim; Weber, Keith

2018-01-01

We were interested in exploring the extent to which advanced mathematics lecturers provide students with opportunities to play a role in considering or generating course content. To do this, we examined the questioning practices of 11 lecturers who taught advanced mathematics courses at the university level. Because we are unaware of other studies…

Using Literacy Strategies to Teach Precalculus and Calculus

ERIC Educational Resources Information Center

Roepke, Tena L.; Gallagher, Debra K.

2015-01-01

Mathematics preservice teachers often complain vehemently about their required content-area reading courses. They ask such questions as, "Why do I have to worry about literacy when I'm going to be a mathematics teacher?" or "How will this ever help me in my mathematics classes?" or "When will I ever have time for…

Integrating Language and Content: Challenges in a Japanese Supplementary School in Victoria

ERIC Educational Resources Information Center

Okumura, Shinji; Obara, Yumi

2017-01-01

The Melbourne International School of Japanese (MISJ) is a supplementary Saturday school which offers Japanese language and mathematics taught in Japanese from kindergarten to senior secondary level. Classes are scheduled on Saturdays from 9am to 3pm and approximately half of the program is dedicated to mathematics. While mathematics education…

The Mathematics Syllabus and Adult Learners in Community Colleges: Integrating Technique with Content.

ERIC Educational Resources Information Center

Baker, Robert N.

2001-01-01

Presents a brief discussion of the challenges presented to mathematics education by changes in social dependence on mathematics, in professional response to the needs of students, in institutional expectations of students and teachers, and in student demographics and expectations. Provides an extended outline for a syllabus used to clearly…

A Conversion Tool for Mathematical Expressions in Web XML Files.

ERIC Educational Resources Information Center

Ohtake, Nobuyuki; Kanahori, Toshihiro

2003-01-01

This article discusses the conversion of mathematical equations into Extensible Markup Language (XML) on the World Wide Web for individuals with visual impairments. A program is described that converts the presentation markup style to the content markup style in MathML to allow browsers to render mathematical expressions without other programs.…

Explorations in the Modeling of the Learning of Mathematics.

ERIC Educational Resources Information Center

Fuson, Karen C., Ed.; And Others

Eleven research reports in the area of models of learning mathematics are presented in this publication of the Mathematics Education Reports series. The papers represent a mixture of theories, viewpoints, and references to other areas. Content areas addressed range from preschool to college levels. All the papers are concerned with the learning of…

Exploring Turkish Mathematics Teachers' Content Knowledge of Quadrilaterals

ERIC Educational Resources Information Center

Butuner, Suphi Onder; Filiz, Mehmet

2017-01-01

The aim of this research was to examine mathematics teachers' performances in defining special types of quadrilaterals, identifying their family and hierarchically classifying them. In this vein, 33 of 58 primary school mathematics teachers working in the province of Yozgat, Turkey were voluntarily recruited for this survey, and they were asked to…

Mathematical Rigor in the Common Core

ERIC Educational Resources Information Center

Hull, Ted H.; Balka, Don S.; Miles, Ruth Harbin

2013-01-01

A whirlwind of activity surrounds the topic of teaching and learning mathematics. The driving forces are a combination of changes in assessment and advances in technology that are being spurred on by the introduction of content in the Common Core State Standards for Mathematical Practice. Although the issues are certainly complex, the same forces…

Facultative Stabilization Pond: Measuring Biological Oxygen Demand using Mathematical Approaches

NASA Astrophysics Data System (ADS)

Wira S, Ihsan; Sunarsih, Sunarsih

2018-02-01

Pollution is a man-made phenomenon. Some pollutants which discharged directly to the environment could create serious pollution problems. Untreated wastewater will cause contamination and even pollution on the water body. Biological Oxygen Demand (BOD) is the amount of oxygen required for the oxidation by bacteria. The higher the BOD concentration, the greater the organic matter would be. The purpose of this study was to predict the value of BOD contained in wastewater. Mathematical modeling methods were chosen in this study to depict and predict the BOD values contained in facultative wastewater stabilization ponds. Measurements of sampling data were carried out to validate the model. The results of this study indicated that a mathematical approach can be applied to predict the BOD contained in the facultative wastewater stabilization ponds. The model was validated using Absolute Means Error with 10% tolerance limit, and AME for model was 7.38% (< 10%), so the model is valid. Furthermore, a mathematical approach can also be applied to illustrate and predict the contents of wastewater.

Design of capability measurement instruments pedagogic content knowledge (PCK) for prospective mathematics teachers

NASA Astrophysics Data System (ADS)

Aminah, N.; Wahyuni, I.

2018-05-01

The purpose of this study is to find out how the process of designing a tool of measurement Pedagogical Content Knowledge (PCK) capabilities, especially for prospective mathematics teachers are valid and practical. The design study of this measurement appliance uses modified Plomp development step, which consists of (1) initial assessment stage, (2) design stage at this stage, the researcher designs the measuring grille of PCK capability, (3) realization stage that is making measurement tool ability of PCK, (4) test phase, evaluation, and revision that is testing validation of measurement tools conducted by experts. Based on the results obtained that the design of PCK capability measurement tool is valid as indicated by the assessment of expert validator, and the design of PCK capability measurement tool, shown based on the assessment of teachers and lecturers as users of states strongly agree the design of PCK measurement tools can be used.

Rewriting of States' Standards on Social Studies Stirs Debate

ERIC Educational Resources Information Center

Robelen, Erik W.

2010-01-01

As debate continues around the development and adoption of common standards in English and mathematics, several states are independently wrestling with rewrites of standards in a content area largely absent from that national discussion--social studies--and encountering their own shares of controversy. Flash points in the social studies debates…

Examining a math-science professional development program for teachers in grades 7-12 in an urban school district in New York State

NASA Astrophysics Data System (ADS)

Kaszczak, Lesia

With the adoption of the Common Core State Standards in New York State and the Next Generation Science Standards, it is more important than ever for school districts to develop professional development programs to provide teachers with the resources that will assist them in incorporating the new standards into their classroom instruction. This study focused on a mathematics and science professional development program known as STEMtastic STEM. The two purposes of the study were: to determine if there is an increase in STEM content knowledge of the participants involved in year two of a three year professional development program and to examine the teachers' perceptions of the impact of the professional development program on classroom instruction. The sample included teachers of grades 7-12 from an urban school district in New York State. The scores of a content knowledge pre-test and post-test were analyzed using a paired sample t-test to determine any significant differences in scores. In order to determine mathematics and science teachers' perceptions of the impact of the professional development program, responses from a 22 item Likert-style survey were analyzed to establish patterns of responses and to determine positive and negative perceptions of participants of the professional development program. A single sample t-test was used to determine if the responses were significantly positive. The results of this study indicated that there was no significant increase in content knowledge as a result of participation in the STEMtastic STEM professional development program. Both mathematics and science teachers exhibited significant positive perceptions of items dealing with hands-on participation during the professional development; support provided by STEMtastic STEM specialists; and the support provided by the administration. It was concluded that both mathematics and science teachers responded positively to the training they received during the professional development sessions, but that their classroom practices did not change as a result of the professional development program.

Effective moisture diffusivity determination and mathematical modelling of drying curves of apple pomace

NASA Astrophysics Data System (ADS)

Kara, Cem; Doymaz, İbrahim

2015-07-01

Drying of apple pomace representing by-products from apple juice processing was studied. The results obtained show that moisture content of the pomace decreases with time and temperature. The Midilli et al. model was selected as the best mathematical model for describing the drying kinetics of the apple pomace. The effective moisture diffusivity varied from 1.73 × 10-10 to 4.40 × 10-10 m2/s and the activation energy was calculated to be 29.65 kJ/mol.

Mentoring to Alleviate Anxiety in Pre-Service Primary Mathematics Teachers: An Orientation towards Improvement Rather than Evaluation

ERIC Educational Resources Information Center

Perkins, Timothy

2015-01-01

Increasing numbers of primary pre-service teachers (PSTs) enrolled in Education degrees in Australia enter university with insufficient mathematical content knowledge (Livy & Vale, 2011) and low confidence levels about their ability to teach and do the mathematics required for their intended role as classroom teachers (Wilson, 2009). Mentoring…

The Draft National Curriculum for Primary Mathematics

ERIC Educational Resources Information Center

Thompson, Ian

2012-01-01

Draft curriculum documents offer a glimpse of the future. They demand a response as all too often the devil is in the detail. What are the devils and maybe demons that await primary mathematics? This forensic consideration of the content of the draft curriculum for primary mathematics catalogues a lack of evidence to underpin proposals. Is the…

Teaching Mathematics to Secondary Students with Emotional and Behavioral Disorders: Challenges and Practical Suggestions for Teachers

ERIC Educational Resources Information Center

Mulcahy, Candace A.; Krezmien, Michael; Maccini, Paula

2014-01-01

While the Common Core State Standards and state learning standards guide teachers in what mathematical content knowledge should be addressed as well as the processes and proficiencies necessary for developing mathematical competence, several student- and teacher-related factors may hinder student access to the general education curriculum for…