1University Rwanda, College of Education, 2 School of Education, University of .... one hand, and Knowledge of Content and Students (KCS) and Knowledge of Content and ..... The nature and development of middle school mathematics ... of freshman science student teachers from different science teaching domains.
The aim of the study is to investigate the relationship between the teaching approach adopted by mathematics teachers and their 9th grade students' mathematical self. The study searched for the answers on three research questions, namely, about 1) the approaches prevailing in mathematics teachers' beliefs about effective teaching and self-reports…
Arslan, Cigdem; Erbay, Hatice Nur; Guner, Pinar
In the present study we try to highlight prospective mathematics teachers' ability to identify mistakes of sixth grade students related to angle concept. And also we examined prospective mathematics teachers' knowledge of angle concept. Study was carried out with 30 sixth-grade students and 38 prospective mathematics teachers. Sixth grade students…
Egodawatte, Gunawardena; McDougall, Douglas; Stoilescu, Dorian
The current emphasis of many mathematics education reform documents is on the need to change the environment of mathematics classrooms from the transmission of knowledge by the teacher to the transaction of knowledge between the teacher and the students which promotes mathematical investigation and exploration. In this article, we discuss the…
Raad, Nawal Abou; Chatila, Hanadi
This paper investigates Lebanese grade 7 biology teachers' mathematical knowledge and skills, by exploring how they explain a visual representation in an activity depending on the mathematical concept "Function". Twenty Lebanese in-service biology teachers participated in the study, and were interviewed about their explanation for the…
Stoilescu, Dorian; McDougall, Douglas; Egodawatte, Gunawardena
Mathematics teachers, mathematics department heads, curriculum leaders, and administrators from 11 schools in four school boards from Toronto, Ontario, Canada, participated in a project to improve the teaching and learning in grade 9 mathematics classrooms. In each of these schools, an implementation team was created, so that at least three…
Bruce, Catherine D.; Ross, John A.
This study examined the effects of peer coaching on mathematics teaching practices and teacher beliefs about their capacity to have an impact on student learning. Twelve teachers in grades 3 and 6 participated in a brief but intensive professional development program over six months. The program focused on effective mathematics teaching strategies…
Westaway, Lise; Graven, Mellony
This article addresses the question: Why teachers of mathematics have yet to `take up' progressive roles? Drawing on the philosophy of critical realism and its methodological equivalent, social realism, we analyse interview and observation data of four grade 3 teachers, with the view to identifying the mechanisms conditioning the expression of teachers' identities. In so doing, we show how post-apartheid changes in systemic roles of teachers create contradictory tensions for teachers as these bring their own mathematical learning and teaching experiences into contradiction with the new post-apartheid roles they are mandated to enact. We examine how this contradiction, together with beliefs about mathematics, pedagogy and learners, is expressed in the teaching of grade 3 mathematics. We maintain that the complementarity between teachers' beliefs and old systemic roles provides an explanation for why teachers of grade 3 mathematics have yet to `take-up' progressive roles. The implications point to the need for teacher development that creates enablers that lead to changes in classroom practices that align with policy-designated, progressive roles in teaching mathematics.
Problem solving has been a major theme in Japanese mathematics curricula for nearly 50 years. Numerous teacher reference books and lesson plans using problem solving have been published since the 1960s. Government-authorized mathematics textbooks for elementary grades, published by six private companies, have had more and more problem solving over…
Goodnough, Karen; Murphy, Elizabeth
The purpose of this paper is to make sense of the professional learning of four teachers implementing a flipped classroom approach in their grade six mathematics class. The professional learning took place within a two-year Action Research (AR) project that engaged teachers in collaborative and iterative planning, implementation, observation and…
Ritzema, Evelien S.; Deunk, Marjolein I.; Bosker, Roel J.
This study focused on the differentiation practices of second- and third-grade teachers in mathematics and reading comprehension lessons. Preconditions for differentiation, classroom organization, and how teachers dealt with students of different ability levels were investigated through
Fatma Nur Çoban
Full Text Available The purpose of this study was to determine the teachers’ practices and the difficulties encountered by the teachers in 5th grade optional ‘mathematics applications’ course, which came into effect with the new 4+4+4 educational system. The study was conducted in 2012-2013 academic year using the qualitative research method of semi-structured interview with 8 mathematics teachers who were teaching this course. The teachers were from four schools situated in socioeconomically average quarters of Eskişehir. The interview consisted of questions under three categories; aims and contents of the course, teachers’ practices and assessment of the course.Key Words: Mathematics applications course, curriculum, teaching resources, teacher views
Smith, Ryan C.; Kim, Somin; McIntyre, Leighton
As technology become more ubiquitous in the classroom, teachers need to overcome two types of barriers to use it effectively: access to resources (including the development of knowledge) and the development of appropriate beliefs. To assist teachers in overcoming these barriers, we must understand the relationships that exist among them. We…
Marta Cristina Cezar Pozzobon
Full Text Available Grounded on Foucauldian studies, we have attempted to understand how mathematics practices have produced effects on first-to-fourth-grade mathematics teachers. We have argued that such effects go beyond the borders of the pedagogical and the contents of this knowledge area, becoming part of a “general policy” of truth that comprehends the conceptions of scientific knowledge, mathematics and teaching of a particular time. The materials here considered were produced in a High School course in the 1990’s. We have realized that the practices of mathematics education in that period could be assessed from three emphases: a education to teach mathematics through the “concrete”, the “logical knowledge” and the “abstract”, showing mathematics teaching practices from a constructivist, science-oriented perspective, b “globalized teaching”, and c “emphasis on reality”. This has enabled us to problematize the mathematical education of first-to-fourth grade teachers produced in those practices.
Nenthien, Sansanee; Loima, Jyrki
The aims of this qualitative research were to investigate the level of motivation and learning of ninth grade students in mathematics classrooms in Thailand and to reveal how the teachers supported students' levels of motivation and learning. The participants were 333 students and 12 teachers in 12 mathematics classrooms from four regions of…
Al-Tarawneh, Sabri Hassan; Al-Qadi, Haitham Mamdouh
This study aimed at evaluating the 10th grade computerized mathematics curriculum from the perspective of the teachers and supervisors in the southern region in Jordan. The study population consisted of all the teachers who teach the 10th grade in the southern region, with the total of (309) teachers and (20) supervisors. The sample consisted of…
Bautista, Alfredo; Wilkerson-Jerde, Michelle H.; Tobin, Roger G.; Brizuela, Bárbara M.
This paper describes the ideas that mathematics teachers (grades 5-9) have regarding mathematical models of real-world phenomena, and explores how teachers' ideas differ depending on their educational background. Participants were 56 United States in-service mathematics teachers. We analyzed teachers' written responses to three open-ended…
McLean, Leigh; Connor, Carol McDonald
Recent studies have observed connections among teachers' depressive symptoms and student outcomes; however, the specific mechanisms through which teachers' mental health characteristics operate in the classroom remain largely unknown. The present study used student-level observation methods to examine the relations between third-grade teachers' (N = 32) depressive symptoms and their academic feedback to students (N = 310) and sought to make inferences about how these factors might influence students' mathematics achievement. A novel observational tool, the Teacher Feedback Coding System-Academic (TFCS-A), was used that assesses feedback across 2 dimensions-teacher affect and instructional strategy, which have been shown to be important to student learning. Multilevel exploratory factor analysis of TFCS-A data suggested 2 primary factors: positive feedback and neutral/negative feedback. Hierarchical linear modeling revealed that positive feedback was related to higher math achievement among students who began the year with weaker math skills and that teachers who reported more depressive symptoms less frequently provided this positive feedback. Results offer new information about a type of instruction that may be affected by teachers' depressive symptoms and inform efforts aimed at improving teachers' instructional interactions with students. (PsycINFO Database Record (c) 2018 APA, all rights reserved).
Isnawati, Ida; Saukah, Ali
This study investigated teachers' grading decision making, focusing on their beliefs underlying their grading decision making, their grading practices and assessment types, and factors they considered in grading decision making. Two teachers from two junior high schools applying different curriculum policies in grade reporting in Indonesian…
Zijlstra, H.; Wubbels, T.; Brekelmans, M.; Koomen, H.M.Y.
This study analyzed children's generalized perceptions of teacher interpersonal behavior in terms of two dimensions, control and affiliation, referring to the degree of teacher leadership/management and teacher friendliness/cooperation in the classroom, respectively. An adapted version of the
Brown, Evelyn; And Others
This publication is part of a series of instructional units produced by NSTA's Project for an Energy-Enriched Curriculum. The teacher's manual and the student guide for a mathematics unit in this series are presented here. This unit attempts to teach students some necessary mathematical skills needed to understand quantitative facts about energy.…
Alnoor, A. G.; Yuanxiang, Guo; Abudhuim, F. S.
This paper aimed to identifying the professional efficiencies for the intermediate schools mathematics teachers and tries to know at what level the math teachers experience those competencies. The researcher used a descriptive research approach, the study data collected from specialist educators and teacher's experts and previous studies to…
Eighth-grade science teachers use of instructional time: Examining questions from the Third International Mathematics and Science Study (TIMSS) and comparing TIMSS and National Science Foundation questionnaires
Davidson, Anne Burgess
Did the Third International Mathematics and Science Study (TIMSS) ask science teachers the right questions about their use of instructional time? Part I of this 2-part study used the TIMSS database to answer the question: Do 8th grade science teachers in the U.S., Czech Republic, Hungary, Japan, and Korea differ significantly in their perceived use of instructional time? Using the instructional activities in the TIMSS teacher question "How did the lesson proceed?" the teacher-reported times were analyzed using a repeated measures multivariate analysis. Significant differences were found between teacher-reported times in the U.S. and the other 4 TIMSS countries, whose 8th grade students outperformed U.S. students on TIMSS achievement tests. Post-hoc analysis indicated that TIMSS U.S. 8th grade science teachers report spending more time on homework in class, on group activities, and on lab activities, but less time on topic development, than TIMSS teachers from some or all of the other countries. Part II of this study further examined the question "How did the lesson proceed?" by videotaping 6 classes of 8th grade science in Alabama and Virginia and comparing observer coding of the video to the teachers' recalled descriptions of the same class. The difference between observer and teacher responses using TIMSS categories was not significant; however, 43% of the total variance was explained by whether the teacher or the observer reported the times for the instructional activities. The teachers also responded to questions from the NSF Local Systemic Change Through Teacher Enhancement K--8 Teacher Questionnaire to describe the same class. The difference found between the teacher and the observer coding was not significant, but the amount of variance explained by the data source (observer or teacher) dropped to 33% when using NSF student activity categories and to 26% when using NSF teacher activity categories. The conclusion of this study was that questionnaires to
Bednarz, Nadine; Proulx, Jérôme
Through recognising mathematics teachers as professionals who use mathematics in their workplace, this article traces a parallel between the mathematics enacted by teachers in their practice and the mathematics used in workplaces found in studies of professionals (e.g. nurses, engineers, bankers). This parallel is developed through the five…
Perrin, John Robert
This study examined the extent to which seventh- and eighth-grade mathematics teachers are aware of National Council of Teachers of Mathematics (NCTM) standards documents, Curriculum and Evaluation Standards for School Mathematics and Principles and Standards for School Mathematics and agree with NCTM's vision of school mathematics as expressed in…
Ardiç, Mehmet Alper; Isleyen, Tevfik
This study aimed at determining the secondary school mathematics teachers' and students' views on computer-assisted mathematics instruction (CAMI) conducted via Mathematica. Accordingly, three mathematics teachers in Adiyaman and nine 10th-grade students participated in the research. Firstly, the researchers trained the mathematics teachers in the…
Højgaard, Tomas; Jankvist, Uffe Thomas
The paper argues for a three-dimensional course design structure for future mathematics teacher educators. More precisely we describe the design and implementation of a course basing itself on: the two mathematical competencies of modelling and problem tackling, this being the first dimension......; the two mathematical topics of differential equations and stochastics, this being the second dimension; and finally a third dimension the purpose of which is to deepen the two others by means of a didactical perspective....
Vogler, Kenneth E.
The purpose of this study was to determine if the public release of student results on high-stakes, state-mandated performance assessments influence instructional practices, and if so in what manner. The research focused on changes in teachers' instructional practices and factors that may have influenced such changes since the public release of high-stakes, state-mandated student performance assessment scores. The data for this study were obtained from a 54-question survey instrument given to a stratified random sample of teachers teaching at least one section of 10th grade English, mathematics, or science in an academic public high school within Massachusetts. Two hundred and fifty-seven (257) teachers, or 62% of the total sample, completed the survey instrument. An analysis of the data found that teachers are making changes in their instructional practices. The data show notable increases in the use of open-response questions, creative/critical thinking questions, problem-solving activities, use of rubrics or scoring guides, writing assignments, and inquiry/investigation. Teachers also have decreased the use of multiple-choice and true-false questions, textbook-based assignments, and lecturing. Also, the data show that teachers felt that changes made in their instructional practices were most influenced by an "interest in helping my students attain MCAS assessment scores that will allow them to graduate high school" and by an "interest in helping my school improve student (MCAS) assessment scores," Finally, mathematics teachers and teachers with 13--19 years of experience report making significantly more changes than did others. It may be interpreted from the data that the use of state-mandated student performance assessments and the high-stakes attached to this type of testing program contributed to changes in teachers' instructional practices. The changes in teachers' instructional practices have included increases in the use of instructional practices deemed
Pickle, Maria Consuelo Capiral
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…
Areepattamannil, Shaljan; Kaur, Berinderjeet
This study, drawing on data from the Trends in International Mathematics and Science Study (TIMSS) 2011, examined whether mathematics teachers' perceptions of their students' mathematical competence were related to mathematics achievement, affect toward mathematics, and engagement in mathematics lessons among Grade 8 students in Singapore and…
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
Zambak, Vecihi S.; Tyminski, Andrew M.
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…
Glassmeyer, David; Edwards, Belinda
Algebraic reasoning is an essential habit of mind for building conceptual knowledge in K-12 mathematics, yet little is known about how middle school mathematics teachers think about algebraic reasoning. In this article we describe a research project examining how algebraic reasoning was considered by grades 6, 7, or 8 mathematics teachers in a…
Sistla, Michelle; Feng, Jay
Teaching English Language Learners (ELL) academics while they are acquiring English language skills is a challenge for teachers. This action research examines the use of Response To Intervention (RTI) in teaching ELLs mathematical language and its effect on students' math achievement in primary grades. It shows that when mathematical language…
This study examined the knowledge of mathematics content of elementary pre-service teachers at a sixth grade level. The researcher administered a mathematics test for sixth graders mandated by the Texas Education Agency to pre-service teachers; the same test was given to sixth graders in Texas. The study found that pre-service teachers performed…
Duval County Schools, Jacksonville, FL.
This is a teacher's guide to secondary school mathematics. Developed for use in the Duval County Public Schools, Jacksonville, Florida. Areas of mathematics covered are algebra, analysis, calculus, computer literacy, computer science, geometry, analytic geometry, general mathematics, consumer mathematics, pre-algebra, probability and statistics,…
Matematicas Para La Escuela Primaria, Grado 4 (Parte 1), Comentario. Traduccion Preliminar de la Edicion en Ingles Revisada. (Mathematics for the Elementary School, Grade 4, Part 1, Teacher's Commentary. Preliminary Translation of the Revised English Edition).
Beatty, Leslie; And Others
This is Part 1 of the teacher's commentary for the grade 4 mathematics program. Part 1 includes the commentary for chapters 1 through 5. Topics covered include congruence, numbers and number bases, subtraction of numbers, division of numbers, and elementary geometry. References to the student text are cited. (RH)
Matematicas Para La Escuela Primaria, Grado 4 (Parte 2), Comentario. Traduccion Preliminar de la Edicion en Ingles Revisada. (Mathematics for the Elementary School, Grade 4, Part 2, Teacher's Commentary. Preliminary Translation of the Revised English Edition).
Beatty, Leslie; And Others
This is Part 2 of the teacher's commentary for the grade 4 mathematics program. Part 2 includes the commentary for chapters 6 through 10. Topics covered include addition and subtraction, multiplication and division, geometrical figures, lines and lineal measurement, and fractions. (RH)
Schatz Oppenheimer, Orna; Dvir, Nurit
This study presents a qualitative research based on three narratives written by novice mathematics teachers. We examine their unique professional world during their first year of work. The methodology of narrative framework, on which this article is based, helps to gain better understanding of the need for novice mathematics teachers to have…
Yalcin, Seher; Demirtasli, Rahime Nükhet; Dibek, Munevver Ilgun; Yavuz, Hatice Cigdem
This study investigated effect of student- and school-level variables on mathematics achievement of fourth- and eighth-grade students using the Trends in International Mathematics and Science Study (TIMSS) 2011 data of Turkey. The common variables addressed in student and school questionnaires were compared. Due to nested structure of the TIMSS…
Olson, Travis A.
Preservice Secondary Mathematics Teachers (PSMTs) were surveyed to identify if they could connect early-secondary mathematics content (Grades 7-9) in the Common Core State Standards for Mathematics (CCSSM) with mathematics content studied in content courses for certification in secondary teacher preparation programs. Respondents were asked to…
Hodges, Thomas E.; Cady, Jo Ann
The authors focused on 1 middle-grades mathematics teacher's identity and her efforts to implement standards-based instructional practices. As professionals, teachers participate in multiple professional communities and must negotiate and manage conflicting agendas. The authors analyze how the contexts of these communities influence the teacher's…
Cai, Jinfa; Ding, Meixia
Researchers have long debated the meaning of mathematical understanding and ways to achieve mathematical understanding. This study investigated experienced Chinese mathematics teachers' views about mathematical understanding. It was found that these mathematics teachers embrace the view that understanding is a web of connections, which is a result…
Jett, Christopher C.
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…
Mathematics teachers across the Western world are faced with an expectation that they make significant change to their teaching, but repeated attempts have shown little embedded success. This paper draws on a longitudinal study of two apparently well-placed English mathematics departments attempting to make change aligned with both policy and…
In South Africa, Science and Technology Education faces many problems. Insufficient numbers of Science and Technology teachers, inadequate in–service training, large classes, instruction with the aim of narrowly orienting students towards examination passes an insufficient integration of technology in the curriculum, and insufficient physical infrastructure dominates the list. The Department of Education envisages the use of ICT as a tool for learning and teaching. ICT has the ...
The field tested construction industry-related mathematics unit is intended to familiarize seventh grade students with various facets of the construction industry, including the various occupations available and the mathematical abilities and other skills and training necessary to pursue an occupation in the industry. The final set of activities…
Jao, Limin; McDougall, Doug
The Collaborative Teacher Inquiry Project was a professional development initiative that sought to improve the teaching and learning of Grade 9 Applied mathematics by encouraging teachers to work collaboratively. The project brought together Grade 9 Applied mathematics teachers from 11 schools across four neighboring public school boards in the…
Crisan, Cosette; Rodd, Melissa
A non-specialist teacher of mathematics is a school teacher who qualified to teach in a subject other than mathematics yet teaches mathematics to students in secondary school. There is an emerging interest internationally in this population, a brief report of which is given in the paper. Because of concerns about the quality of non-specialists'…
An Investigation on the impact of using problem-based trainings in the in-service courses on the teachers' performance and capabilities, by relying on the elementary sixth grade mathematics book (case study: the city of Ahvaz
Full Text Available Changes in the administrative structure of the education system and the need to coordinate with the world of science and technology and hence, the need to update the general and technical information and knowledge, have doubled the importance and necessity of holding the new and efficient in-service trainings for the teachers. In this study, the attempt was taken to examine and analyze the impact of using problem-based trainings during the in-service courses on the teachers' performance and capabilities, by relying on the mathematics book of the sixth grade elementary level (case study: the city of Ahvaz. To do so, using a quasi-experimental study, 37 teachers of the sixth grade were selected from the elementary schools of Ahvaz city. For the in-service training courses on the teaching of mathematics, the problem-based learning method was used. After conducting the problem-based teaching method and the traditional method of teaching, through using the test and the standard questionnaire, the data about the teaching practice and the capabilities of the teachers were collected. Using t-test for the paired and independent samples, it was demonstrated that the problem-based in-service trainings, enhance the teachers' capabilities and performance regarding the problem-solving skills.
Ashun, Mary Apea; Reinink, John
Much research (Ma, 1999; Cohen & Leung, 2004; English, 2003) has been done on mathematics education and pre-service teachers with special emphasis on how the mathematics is taught and the psychology of the pre-service teachers. While there is concern among North American mathematicians that mathematics instruction in K-12 grades needs to be…
Dissemination and Assessment Center for Bilingual Education, Austin, TX.
This guide covers the second part of a bilingual, sequential mathematics course. The course integrates culturally relevant situations and illustrations with mathematics to reinforce the student's self-concept and encourage cultural pride. This program may be used as a self-contained continuum, as a supplement to another course of study, for…
Dissemination and Assessment Center for Bilingual Education, Austin, TX.
This guide covers the first part of a bilingual, sequential mathematics course. The course integrates culturally relevant situations and illustrations with mathematics to reinforce the student's self-concept and encourage cultural pride. This program may be used as a self-contained continuum, as a supplement to another course of study, for…
Sawyer, Amanda Gantt
I investigated a reform based teachers' beliefs about the nature of mathematics, teaching mathematics, and learning mathematics, and the factors leading to their formation. I interviewed and observed a reform-based elementary mathematics teacher with 13 years' experience teaching first grade. She held a Platonist/problem solver view of…
The Mathematics teacher questionnaire, administered as part of the Trends in International Mathematics and Science Study (TIMSS) 2011, comprised questions pertaining to the classroom practices of Teacher Clarity, Classroom Discussion, Feedback, Formative Assessment, Problem Solving and Metacognitive Strategies, ...
Artzt, Alice F.; Sultan, Alan; Curcio, Frances R.; Gurl, Theresa
This article describes an innovative capstone mathematics course that links college mathematics with school mathematics and pedagogy. It describes how college juniors in a secondary mathematics teacher preparation program engage in leadership experiences that enable them to learn mathematics for teaching while developing student-centered…
Stripling, Christopher T.; Roberts, T. Grady
The purpose of this study was to examine the mathematics ability of the nation's preservice agricultural education teachers. Based on the results of this study, preservice teachers were not proficient in solving agricultural mathematics problems, and agricultural teacher education programs require basic and intermediate mathematics as their…
Kistler, Barbara C.
This paper suggests that faculty at two-year institutions need to become partners with colleges of education and K-12 teachers of mathematics in preparing future mathematics teachers. The paper presents the following: a summary of recommendations on programs for prospective teachers; a summary of recommendations about mathematics courses for…
Lo, Jane-Jane; Zoest, Laura RVan
Research on the preparation and continued development of mathematics teachers is becoming an increasingly important subset of mathematics education research. Such research explores the attributes, knowledge, skills and beliefs of mathematics teachers as well as methods for assessing and developing these critical aspects of teachers and influences on teaching.Research Trends in Mathematics Teacher Education focuses on three major themes in current mathematics teacher education research: mathematical knowledge for teaching, teacher beliefs and identities, and tools and techniques to support teacher learning. Through careful reports of individual research studies and cross-study syntheses of the state of research in these areas, the book provides insights into teachers' learning processes and how these processes can be harnessed to develop effective teachers. Chapters investigate bedrock skills needed for working with primary and secondary learners (writing relevant problems, planning lessons, being attentive to...
This study investigated the relationship between prospective secondary mathematics teachers' perspectives and their mathematical knowledge for teaching in action. Data from two prospective teachers' practice-teachings, one in geometry and one in algebra, their lesson plans and self-reflections were analyzed with Teacher Perspectives and Knowledge…
Hodgen, Jeremy; Askew, Mike
Teacher change in mathematics education is recognised to be a difficult and at times painful process. This is particularly so in countries such as England where primary mathematics is taught by non-specialist teachers, who have often had negative experiences of their own school mathematics. In this paper we explore primary teachers' emotional…
van der Lans, R. M.; van de Grift, W. J. C. M.; van Veen, K.
In previous research, teachers report that they use a hodgepodge of factors when grading students. This has led researchers to suspect that teacher-assigned grades are inflated by teacher-student interactions; the hodgepodge hypothesis. Teachers also are reported to differ in grading leniency; the
Pagliaro, C.; Kritzer, K. L.
The study documents what deaf education teachers know about discrete mathematics topics and determines if these topics are present in the mathematics curriculum. Survey data were collected from 290 mathematics teachers at center and public school programs serving a minimum of 120 students with hearing loss, grades K-8 or K-12, in the United…
The present study explored the direct influences of teacher classroom practices, including teacher support, conceptual teaching, and procedural teaching, on 9th grade students' mathematics achievement, and the indirect influences of these teacher variables on student mathematics achievement through students' mathematics self-efficacy and interest in mathematics courses. The base year data of High School Longitudinal Study of 2009 (HSLS: 09) was used for this study. Structural equation modelin...
For pre-service teachers (PSTs) who have been exposed to traditional approaches, teacher education courses can be a revelatory experience in their development as educators. This study explores if Canadian upper elementary/lower secondary (grades 4-10) PSTs change their beliefs about mathematics teaching as a result of taking a mathematics methods…
Bleecker, Heather A.
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…
Ferrucci, Beverly J.; Evans, Richard C.
Reports on the mathematics teacher preparation program at Simferopol State University, the largest institution of higher education in the Crimea. The article notes the value of investigating what other countries consider essential in mathematics teacher education to improve the mathematical competence of students in the United States. (SM)
African Journal of Educational Studies in Mathematics and Sciences Vol. ... materials (MCM) and their schools' performance in mathematics ... should be created for mathematics teachers in high performing junior high schools to share their ... in syllabuses which are also spread out in text books, teachers' hand out, etc.
Bates, Alan B.; Latham, Nancy; Kim, Jin-ah
This study examined preservice teachers' mathematics self-efficacy and mathematics teaching efficacy and compared them to their mathematical performance. Participants included 89 early childhood preservice teachers at a Midwestern university. Instruments included the Mathematics Self-Efficacy Scale (MSES), Mathematics Teaching Efficacy Beliefs…
Full Text Available Teaching for active learning is a pedagogical technique that has been actively promoted in Indonesian education through government reform efforts and international development assistance projects for decades. Recently, elementary schools in Banten province received training in active learning instructional strategies from the USAID-funded project, Decentralized Basic Education 2. Post-training evaluations conducted by lecturers from the University of Sultan Ageng Tirtayasa (UNTIRTA: Universitas Sultan Ageng Tirtayasa suggested that teachers were successfully employing active learning strategies in some subjects, but not mathematics. In order to understand the difficulties teachers were having in teaching for active learning in mathematics, and to assist them in using active learning strategies, a team of lecturers from UNTIRTA designed and carried out an action research project to train teachers in an elementary school in the city of Cilegon to use a technique called Magic Fingers in teaching Grade 5 multiplication. During the course of the project the research team discovered that teachers were having problems transferring knowledge gained from training in one context and subject to other school subjects and contexts. Key Words: Mathematics, Teaching for Active Learning, Indonesia, Banten
Most studies which investigate mathematics teacher noticing cast perception into a passive role. This study develops an ecological analysis of mathematics teachers' noticing in order to investigate how teachers actively look for information in classroom environments. This method of analysis is applied to data collected as an experienced primary…
Tutak, Tayfun; Güder, Yunus
The aim of this study is to identify the opinions of secondary school mathematics teachers about mathematical modelling. Qualitative research was used. The participants of the study were 40 secondary school teachers working in the Bingöl Province in Turkey during 2012-2013 education year. Semi-structured interview form prepared by the researcher…
Michael K. Mhlolo
Full Text Available Current reforms in mathematics education emphasise the need for pedagogy because it offers learners opportunities to develop their proficiency with complex high-level cognitive processes. One has always associated the ability to make mathematical connections, together with the teacher’s role in teaching them, with deep mathematical understanding. This article examines the nature and quality of the mathematical connections that the teachers’ representations of those connections enabled or constrained. The researchers made video recordings of four Grade 11 teachers as they taught a series of five lessons on algebra-related topics. The results showed that the teachers’ representations of mathematical connections were either faulty or superficial in most cases. It compromised the learners’ opportunities for making meaningful mathematical connections. The researchers concluded by suggesting that helping teachers to build their representation repertoires could increase the effectiveness of their instructional practices.
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 release of the "Common Core State Standards for Mathematics" in 2010 resulted in a new focus on mathematical modeling in United States curricula. Mathematical modeling represents a way of doing and understanding mathematics new to most teachers. The purpose of this study was to determine the conceptions and misconceptions held by…
The purpose of this study is to examine the first grade teachers' practices of handwriting instructions in terms of teaching, evaluation and handwriting difficulties. From qualitative research patterns, phenomenology was used. The study was applied to the 54 First grade teachers who work at central Burdur and Burdur county centre primary education…
Hendrayana, A.; Wahyudin
The role of teachers is crucial to the success of mathematics learning. One of the learning indicator is characterized by the students’ improved mathematical proficiency. In order to increase that, it is necessary to improve the teacher’s mathematical skills first. For that, it needs an innovative way to get teachers close to easily accessible learning resources through technology. The technology can facilitate teachers to access learning resources anytime and anywhere. The appropriate information technology is mobile learning. Innovations that can make teachers easy to access learning resources are mobile applications that can be accessed anytime and anywhere either online or offline. The research method was research development method. In preliminary analysis, subjects consist of teachers and lecturers in professional teacher education program. The results that the teachers ready to adopt mobile-learning for the improvement of their skills.
Asikainen, Mervi A.; Pehkonen, Erkki; Hirvonen, Pekka E.
Seven Finnish mentor mathematics teachers were interviewed about their views regarding the teacher knowledge required for teaching mathematics. The results of the interviews revealed not only the teachers' spontaneous views of the knowledge base needed for effective mathematics teaching but also their views of the particular types of teacher…
Akkoç, Hatice; Balkanlioglu, Mehmet Ali; Yesildere-Imre, Sibel
This research aimed to analyse the induction experiences of preservice mathematics teachers during their school placements through the lens of communities of practice. The main research question was concerned with how preservice mathematics teachers perceive what constitutes the practice of a professional community of mathematics teachers. A…
Mills, Thomas J.
Determined were the educational and professional backgrounds, and some aspects of the operational environment of teachers of secondary school science and mathematics (Grades 7-12) in the public and private schools of the United States during the school year 1960-61. A stratified random sampling method was used to ensure proportional representation…
Kunnath, Joshua P.
This mixed-methods study applied a decision-making theoretical framework to an investigation of teacher grading in a large urban school district in California. A sample of 251 high school teachers of core subjects were surveyed, and 15 teachers participated in four focus group interviews in order provide data on the influences, rationale, and…
This article reports on a study carried out with a group of 108 practising Mathematical Literacy (ML) teachers who participated in an Advanced Certificate in Education (ACE) programme. The purpose of the qualitative study was to identify and describe the teachers' varying levels of engagement with mathematics tools and ...
Full Text Available We report findings from qualitative case studies of two grade 5 classrooms in Israel, one Jewish and one Druze. The aim was to identify classroom factors contributing to the differences in the gendered patterns of mathematics outcomes for Jewish and Arab Israeli students. Marked differences were found in the teachers' gender-related interactions with students, and their beliefs and expectations of boys' and girls' mathematical capabilities. The Jewish teacher held conventional gender-stereotyped beliefs of male mathematical superiority. The Druze teacher believed that girls required affirmative action to overcome implied gender biases in favour of males in the Druze community. The findings support earlier research and theoretical perspectives on gender-related issues in the mathematics classroom. In particular, when teachers hold gender-biased beliefs and expectations, students' classroom experiences and mathematics learning outcomes are impacted along gender lines.
D'Ambrosio, Beatriz; Kastberg, Signe
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,…
Lomibao, Laila S
The efficiency and effectivity of the learning experience is dependent on the teacher quality, thus, enhancing teacher's quality is vital in improving the students learning outcome. Since, the usual top-down one-shot cascading model practice for teachers' professional development in Philippines has been observed to have much information dilution, and the Southeast Asian Ministers of Education Organization demanded the need to develop mathematics teachers' quality standards through the Southeast Asia Regional Standards for Mathematics Teachers (SEARS-MT), thus, an intensive, ongoing professional development model should be provided to teachers. This study was undertaken to determine the impact of Lesson Study on Bulua National High School mathematics teachers' quality level in terms of SEARS-MT dimensions. A mixed method of quantitative-qualitative research design was employed. Results of the analysis revealed that Lesson Study effectively enhanced mathematics teachers' quality and promoted teachers professional development. Teachers positively perceived Lesson Study to be beneficial for them to become a better mathematics teacher.
mathematics teaching as a practice and the way that teachers learn in such a practice. Conversations during interviews with the teachers in the sample indicate that SchoÈn\\'s notion of reflection-in-action is a key to understanding how teachers use their practical rationality as they try to understand nuanced meanings of the
Kanyongo, Gibbs Y.; Brown, Launcelot I.
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…
Hill, Heather C.; Charalambous, Charalambos Y.
This paper documents the ways mathematical knowledge for teaching (MKT) and curriculum materials appear to contribute to the enactment of a 7th grade "Connected Mathematics Project" lesson on comparing ratios. Two teachers with widely differing MKT scores are compared teaching this lesson. The comparison of the teachers' lesson enactments suggests…
Kaya, Deniz; Izgiol, Dilek; Kesan, Cenk
The aim was to determine elementary mathematics teacher candidates' problem solving skills and analyze problem solving skills according to various variables. The data were obtained from total 306 different grade teacher candidates receiving education in Department of Elementary Mathematics Education, Buca Faculty of Education, Dokuz Eylul…
A secondary data analysis was conducted using a large dataset from a study related to online professional development for eighth grade teachers of mathematics. Using this data, the paper provides a snapshot of the current state of teachers' knowledge related to proportional reasoning and functions. The paper also considers how teachers' knowledge…
Botha, Marie; Onwu, Gilbert
This article is about teacher identity formation of two foundation phase level (Grade R-9) level beginning teachers in their first year of teaching early mathematics science and technology (MST) in two different schools and grade levels. The study used a phenomenological approach and the case study method to try to illuminate what factors infl uence how teacher identities can be narratively constructed on the basis of the lived experiences of the two teachers in different school contexts. Dat...
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…
This paper analyzed a preservice mathematics teacher's beliefs about teaching mathematics with technology. The researcher used five semi-structured task-based interviews in the problematic contexts of teaching fraction multiplications with JavaBars, functions and limits, and geometric transformations with Geometer's Sketchpad, and statistical data…
Cranston School Dept., RI.
Behavioral objectives for grades 10 through 12 are specified for plane geometry, algebra, general mathematics, computer mathematics, slide rule mathematics, basic college mathematics, trigonometry, analytic geometry, calculus and probability. Most sections present material in terms of portions of a school year. At least one major objective is…
Crawford-Ferre, Heather Glynn; Wiest, Lynda R.; Vega, Stephanie
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.
Hunt, Annita W.; Nipper, Kelli L.; Nash, Linda E.
Are virtual manipulatives as effective as concrete (hands-on) manipulatives in building conceptual understanding of number concepts and relationships in pre-service middle grades teachers? In the past, the use of concrete manipulatives in mathematics courses for Clayton State University's pre-service middle grades teachers has been effective in…
Savas Basturk; Tastepe, Mehtap
The purpose of the study was to examine primary pre-service teachers' difficulties of the teaching of mathematics with micro-teaching method. The participants of the study were 15 third grade pre-service teachers from the department of primary education in the faculty of education. In this grade which includes four sections, there were…
Michelsen, Claus; Nielsen, Jan Alexis; Petersen, Morten Rask
This paper presents the project Science and Mathematics Teachers of the Future. The aim of the project is to develop and implement a graduate level equivalent degree program in mathematics and science instruction for in-service teachers of lower secondary education. This aim is achieved...... in the programme through involving the teachers in design, implementation and evaluation of innovative instructional sequences, which deals with a wide range of aspects of mathematics and science, e.g. modern science and the importance of science in society. In the program contemporary science and mathematics...... education research serves as a basis for the design and development of warranted practices with which the teachers may experiment in their classroom. We will focus on the outcomes of offering a program which is intimately tied to (i) contemporary science and mathematics education research, (ii) modern...
The purpose of this study was to examine Addis Ababa secondary school mathematics teachers’ attitude in teaching mathematics. 148 mathematics teachers were selected using cluster sampling from Addis Ababa administration region. The study used survey method of data collection and it includes both quantitative and qualitative research methods. From the independent t-test, ANOVA, tukey test and regression analysis, some of the results obtained were: the majority of the secondary school mathemati...
Reform efforts and changes in mathematics education have brought on a shift towards a new vision of mathematics teaching in the United States. In light of recent accountability standards, the focus on teacher learning within the context of mathematics professional development is even more pressing. Prior research on teacher learning in the context…
This qualitative research aims to examine the opinions of school administrators, teachers, and middle school students about what makes a good mathematics teacher. Interviews were conducted with thirty-five participants: ten school administrators, ten mathematics teachers, and fifteen middle school students. A semi-structured interview form…
Nickerson, Susan D.; Moriarty, Gail
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…
and media with which instruction and assessment are carried out (cur- ricular knowledge). .... school mathematics teachers and prospective elementary school ma- thematics ..... behavioural and social sciences and education. Washington, DC ...
ABSTRACT OF THE DISSERTATIONMathematics Teacher Identity in the Context of Mathematics Reform:Elementary Teacher Experiences ByJennifer SunDoctor of Philosophy in EducationUniversity of California, Irvine, 2017Associate Professor Elizabeth A. van Es, ChairReform efforts and changes in mathematics education have brought on a shift towards a new vision of mathematics teaching in the United States. In light of recent accountability standards, the focus on teacher learning within the context of m...
A 14-week course program was designed to investigate pre-service teachers' noticing skills and scaffolding practices. Six pre-service teachers were matched with a pair of sixth grade students to observe and scaffold students' mathematical understanding while they were working on the given tasks. Data was collected through pre-service teachers' own…
Kilic, Hulya; Tunc Pekkan, Zelha
In this paper, we discuss pre-service mathematics teachers' professional gains from a university-school collaboration where they were given opportunity to observe two teacher educators' instructional practices in a 6th grade classroom, interact with students in one-to-one fashion and reflect on the teacher educators' and their own practices. Three…
Zhou, Zheng; Peverly, Stephen T.; Xin, Tao
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…
Morgan, Paul L.; Farkas, George; Maczuga, Steve
We used population-based, longitudinal data to investigate the relation between mathematics instructional practices used by 1st grade teachers in the U.S. and the mathematics achievement of their students. Factor analysis identified four types of instructional activities (i.e., teacher-directed, student-centered, manipulatives/calculators, movement/music) and eight types of specific skills taught (e.g., adding two-digit numbers). First-grade students were then classified into five groups on the basis of their fall and/or spring of kindergarten mathematics achievement—three groups with mathematics difficulties (MD) and two without MD. Regression analysis indicated that a higher percentage of MD students in 1st grade classrooms was associated with greater use by teachers of manipulatives/calculators and movement/music to teach mathematics. Yet follow-up analysis for each of the MD and non-MD groups indicated that only teacher-directed instruction was significantly associated with the achievement of students with MD (covariate-adjusted ESs = .05–.07). The largest predicted effect for a specific instructional practice was for routine practice and drill. In contrast, for both groups of non-MD students, teacher-directed and student-centered instruction had approximately equal, statistically significant positive predicted effects (covariate-adjusted ESs = .03–.04). First-grade teachers in the U.S. may need to increase their use of teacher-directed instruction if they are to raise the mathematics achievement of students with MD. PMID:26180268
Dickerson, David S.; Doerr, Helen M.
Proof serves many purposes in mathematics. In this qualitative study of 17 high school mathematics teachers, we found that these teachers perceived that two of the most important purposes for proof in school mathematics were (a) to enhance students' mathematical understanding and (b) to develop generalized thinking skills that were transferable to other fields of endeavor. We found teachers were divided on the characteristics (or features) of proofs that would serve these purposes. Teachers with less experience tended to believe that proofs in the high school should adhere to strict standards of language and reasoning while teachers with more experience tended to believe that proofs based on concrete or visual features were well suited for high school mathematics. This study has implications for teacher preparation because it appears that there is a wide variation in how teachers think about proof. It seems likely that students would experience proof very differently merely because they were seated in different classrooms.
Pagliaro, Claudia M; Kritzer, Karen L
The study documents what deaf education teachers know about discrete mathematics topics and determines if these topics are present in the mathematics curriculum. Survey data were collected from 290 mathematics teachers at center and public school programs serving a minimum of 120 students with hearing loss, grades K-8 or K-12, in the United States. Findings indicate that deaf education teachers are familiar with many discrete mathematics topics but do not include them in instruction because they consider the concepts too complicated for their students. Also, regardless of familiarity level, deaf education teachers are not familiar with discrete mathematics terminology; nor is their mathematics teaching structured to provide opportunities to apply the real-world-oriented activities used in discrete mathematics instruction. Findings emphasize the need for higher expectations of students with hearing loss, and for reform in mathematics curriculum and instruction within deaf education.
A challenge of teacher education is to produce graduate primary school teachers who are confident and competent teachers of mathematics. Various approaches to primary school teacher education in mathematics have been investigated, but primary teacher education graduates still tend to be diffident in their teaching of mathematics. In an age where…
Carnoy, Martin; Brodziak, Iliana; Luschei, Thomas; Beteille, Tara; Loyalka, Prashant
In this publication, the authors compare the salaries of primary (Grades 1 to 6 in most countries) and secondary school (usually Grades 7 to 12) teachers with the salaries of people in mathematics-oriented professions, such as engineering, scientific fields, and accounting. Their analysis centers on a number of developed and developing countries.…
Meaney, Tamsin; Lange, Troels; Valero, Paola
We explore how different interpretations of learning can be integrated to form a theoretical framework for exploring teachers' perceptions of professional learning about mathematics teaching. Although it is possible to identify the separate, contributing factors that operate in mathematics...... experiences of limited value to them. Work done in mathematics education by Skovsmose and Valero combined with Kemmis and Grootenboer's work on academic architectures provide a theoretical framework that enables this complexity to be unpacked. Skovsmose considered learning to involve ascribing meaning...
Dayal, Hem Chand
Researchers suggest that teachers' beliefs about teaching are strongly influenced by their personal experiences with mathematics. This study aimed to explore Pacific Island pre-service secondary mathematics teachers' perceptions about good and bad mathematics teachers. Thirty pre-service teachers, enrolled in a mathematics teaching methods course…
Briley, Jason S.
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…
Mentoring is a professional development strategy well documented. Peer mentoring however, is relatively new and was provided as a professional development strategy for a group of secondary school mathematics teachers working in low socio-economic schools. Through the stories of three teachers, the year-long study identifies the features critical…
Wagner, David; Herbel-Eisenmann, Beth
Issues of authority abound in education and schooling but have not been interrogated sufficiently. We describe a tool that we have developed to initiate dialogue with teachers about authority in their classrooms--using a diagram to represent authority in their classrooms. Our analysis of the diagrams mathematics teachers created and discussed in…
Whitty, Elaine; Clarke, Marie
This paper through the theoretical framework of constructive attitude theory explores mathematics teachers' attitudes and pedagogical strategies with reference to inclusive practice. The authors argue that though teachers may have formed positive inclusive attitudes, the translation of these into practice does not always occur and poses…
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…
Esra UYSAL; Kürşat YENİLMEZ
The purpose of this study is to determine the eighth grade student’s Mathematics Literacy level based on the PISA 2003 Mathematics exam questions and evaluations. Also relationships between distribution of Mathematics Literacy levels and some variables as students’ gender, pre-school education, family’s income and parent’s education level are investigated. Survey method was used in this study. The work group of the study consists of 1047 eighth grade students chosen randomly from 12 primary s...
Human beings have been using mathematics since they got familiar with the environment they lived in. Because of this reason, the emphasis of necessity of mathematics education for schools with various levels in different countries has undoubtedly been agreed upon. Mathematics anxiety is a problem for many people. Mathematics anxiety is one of the…
Taylor, Mary Jo; Dimino, Joseph A.; Gellar, Leanne Ketterlin; Koontz, Trish
This document offers a planning tool for grades 3-7 that can be used by regional comprehensive centers, other technical assistance centers, and state departments of education to plan professional development for teachers. It is based on the "National Mathematics Advisory Panel Report" which was published in 2008. The panel synthesized its final…
Roselaine Machado Albernaz
Full Text Available This essay approaches the Mathematics teacher forming process from his/her experiences in the school system and the set of knowledge that hashistorical, philosophical and politically constituted him/her. This set of knowledge not only comprises academic knowledge, but also involves the subjective effects of knowledge it incorporates. Starting from a tale, the character, called ‘researcher-teacher’, conducts the text throughout questions about the forming processes of teachers of such a particular subject as Mathematics. The character seems to have an “interrogative something” which is peculiar to us, teachers, concerned about our disciplinary field. Having the objective of problematize the formation and knowledge of our character, her ways of being, thinking and perceiving, we intend to question, with and through her, the new requirements that have been demanded towards Mathematics teachers and the set of knowledge that constitute her, the way she is, her way of acting and taking position in the school universe. The proposed essay seeks for an articulation between the fields of Art, Philosophy, Science and Education. It speaks about the intriguing school world, but not least, the ways we think to treat the forming process of Mathematics teachers from a set of logical, subjective and sensitive knowledge. Key words: Forming process of teachers; mathematics; aesthetic experience; philosophy of difference.
Rabab'h, Belal; Veloo, Arsaythamby
Jordanian 8th grade students revealed low achievement in mathematics through four periods (1999, 2003, 2007 & 2011) of Trends in International Mathematics and Science Study (TIMSS). This study aimed to determine whether spatial visualization mediates the affect of Mathematics Learning Strategies (MLS) factors namely mathematics attitude,…
Battista, Michael T.
Examined how preservice elementary teachers' (N=38) mathematical knowledge and mathematics anxiety affect their success in a mathematics methods course. Also examined the hypothesis that a mathematics methods course can reduce the mathematics anxiety of these teachers. One finding is that mathematics anxiety does not inhibit their learning of…
Full Text Available This article addresses the need for research in the areas of Grade R curriculum and pedagogy, Grade R teacher professional development, and early years mathematics teaching. More specifically, it responds to the need for teacher professional development in Grade R mathematics teaching of the geometric concepts of space and shape. The article describes a study about teachers’ understanding of how visual arts can be used as pedagogical modality. The study was prompted by the findings of a ‘Maths and Science through Arts and Culture Curriculum’ intervention undertaken with Grade R teachers enrolled for a Bachelor of Education (Foundation Phase degree at a South African university. Post-intervention, teachers’ classroom practices did not change, and they were not using visual arts to teach mathematical concepts. The lessons learned from the research intervention may contribute to the wider debate about Grade R teaching and children’s learning.
Newton, Kristie Jones; Leonard, Jacqueline; Evans, Brian R.; Eastburn, Julie A.
The purpose of this study was to examine the relationship between mathematics content knowledge and teacher efficacy during an elementary mathematics methods course. A positive moderate relationship between content knowledge and personal teaching efficacy was found, and this relationship was stable during the course. No relationship was found…
Full Text Available The work of teachers has a signiﬁcant role both with regard to learners’ achievement and their opportunities in life. In the context of a developing country, particularly with respect to township and rural schools, it is a common occurrence that many practising teachers are un- or under qualiﬁed for the teaching of mathematics. What kind of professional development would be effective for upgrading the content knowledge and professional competence of such teachers? It is the aim of this article to give an overview of a professional development approach, called mentorship by master mathematics teachers, which had a positive effect both on teacher learning and their learners’ performance. Where mentorship usually focuses on the induction of beginning or student teachers, the Teacher Mentorship Programme (TMP in this case, had as its target experienced teachers who had been teaching mathematics for years in township schools, but without the appropriate qualiﬁcations. The mentee teachers had never previously, due to no fault of their own, been exposed to excellent teaching practices as learners, student or practising teachers. The TMP was an initiative of a university’s Faculty of Engineering, that collaborated with private engineering companies and the Department of Education with the aim of preparing more and better equipped Grade 12 leavers who enrol for studies in engineering and technology related ﬁelds. The intended outcomes of the TMP were: To improve teachers’ content knowledge, pedagogical competence and attitude towards mathematics and science. To broaden teachers’ knowledge of careers related to the mathematics, science and technology ﬁelds. To improve learners’ attitudes towards mathematics, science and related careers. To increase the number of learners who enrol for mathematics on the higher grade which is the equivalent of “core” mathematics in the new National Curriculum Statement.Why a mentorship programme
Flores, Margaret M.; Thornton, Jennifer; Franklin, Toni M.; Hinton, Vanessa M.; Strozier, Shaunita
The purpose of this study was to extend the literature regarding elementary teachers' beliefs about mathematics instruction to include special education teachers by surveying special education and general education teachers' mathematics teaching efficacy. In addition, the researchers' surveyed teachers' mathematics skills. The participants (n =…
Randall, Jennifer; Engelhard, George, Jr.
In this study, we present an approach to questionnaire design within educational research based on Guttman's mapping sentences and Many-Facet Rasch Measurement Theory. We designed a 54-item questionnaire using Guttman's mapping sentences to examine the grading practices of teachers. Each item in the questionnaire represented a unique student…
Nashville - Davidson County Metropolitan Public Schools, TN.
Prepared for use in the 5th grade, this teacher's handbook consists of 19 science units dealing with environmental education. Topics are ecology, language arts, rocks and fossils, soil, noise pollution, Nashville pioneers and American Indians, conservation, waste and litter, water pollution, compass and mapping, plants and trees, use of the…
Bütüner, Suphi Önder
This study describes secondary school mathematics teachers' use of history of mathematics in their classes and their knowledge levels in this field. The study population included a total of 58 secondary school mathematics teachers working at the secondary schools located in Yozgat city center, and the sample included 32 mathematics teachers from…
Ariyanto, L.; Herman, T.; Sumarmo, U.; Suryadi, D.
Prospective math teachers need to develop positive adaptive attitudes toward mathematics that will enable them to continue learning despite having to deal with obstacles and difficulties. This research focuses on the resilience improvement of the prospective mathematic teachers after being treated using problem-based learning based on their basic knowledge on mathematic and their overall knowledge on math. This research used only one group for pre-test and post-test. The result of this research shows that there is improvement on prospective teachers’ resilience after they were given treatment using problem-based learning. One of the factors causing the resilience improvement of the prospective mathematic teachers is the instructions on students’ work sheet. In the instructions, stud ents were asked to write difficulties in solving math problems as well as write down the solution they take to overcome them. This research can be used as a reference for other researchers who want to do the same research related on students’ resiliency o n math and or math lecturers to improve the resilience of prospective teachers to be resilient teachers on math in the future.
Becoming a teacher is not developing an identity, but is developing identity as a continuous process of constructing and deconstructing understandings within the complexities of social practice, beliefs, experiences, and social norms. I take up this stance on identity as articulated in Judith Butler's (1999) work with gender identity and…
Yang, Xinrong; Leung, Frederick K. S.
This paper investigated pre-service mathematics teachers' mathematics beliefs, beliefs about information and communication technology (ICT), and their relationships. 787 pre-service mathematics teachers in China completed a survey questionnaire measuring their beliefs about the nature of mathematics, beliefs about mathematics learning and…
Zhu, Meixia; Cai, Dan; Leung, Ada W S
Studies have shown that number line estimation is important for learning. However, it is yet unclear if number line estimation predicts different mathematical skills in different grades after controlling for age, non-verbal cognitive ability, attention, and working memory. The purpose of this study was to examine the role of number line estimation on two mathematical skills (calculation fluency and math problem-solving) in grade 2 and grade 4. One hundred and forty-eight children from Shanghai, China were assessed on measures of number line estimation, non-verbal cognitive ability (non-verbal matrices), working memory (N-back), attention (expressive attention), and mathematical skills (calculation fluency and math problem-solving). The results showed that in grade 2, number line estimation correlated significantly with calculation fluency ( r = -0.27, p problem-solving ( r = -0.52, p problem-solving ( r = -0.38, p problem-solving (12.0%) and calculation fluency (4.0%) after controlling for the effects of age, non-verbal cognitive ability, attention, and working memory. In grade 4, number line estimation accounted for unique variance in math problem-solving (9.0%) but not in calculation fluency. These findings suggested that number line estimation had an important role in math problem-solving for both grades 2 and 4 children and in calculation fluency for grade 2 children. We concluded that number line estimation could be a useful indicator for teachers to identify and improve children's mathematical skills.
Many scholars have written about using the history of mathematics in the teaching of pre-service mathematics teachers. For this study, pre-service mathematics teachers developed an electronic journal of reflections based on presentations in the history of mathematics in a secondary mathematics education course. The main purpose of the…
Fisher, Molly H.; Royster, David
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…
Sezer, Renan; Guner, Necdet; Ispir, Oylum Akkus
Turkish elementary mathematics program was revised in 2005. In 2011, Turkey participated in TIMSS at the 4th-grade level for the first time. 4th graders were educated using the new curriculum and thus their success rate on TIMSS can be considered as an evaluation of the new program. This study investigated Turkish 4th grade teachers' expectation…
African Journal of Educational Studies in Mathematics and Sciences ... topics in the first year teacher training mathematics syllabus were not taught by the end ... that the teacher training college tutors make efforts to complete the PS1 syllabus.
Skott, Charlotte Krog; Østergaard, Camilla Hellsten
Bridging theory and practice is a general challenge in mathematics teacher education. Research shows that Lesson Study (LS) is an effective way for prospective mathematics teachers to build relations between course work and field experiences......Bridging theory and practice is a general challenge in mathematics teacher education. Research shows that Lesson Study (LS) is an effective way for prospective mathematics teachers to build relations between course work and field experiences...
Rico, Luis; Gil, Francisco; Moreno, María Francisca; Romero, Isabel; González, María José; Gómez, Pedro; Lupiáñez, José Luis
The purpose of this study is to design instruments to measure the quality of prospective mathematics teachers training plans, within the Spanish context. We conceive the quality of a syllabus as a multidimensional concept that can be articulated by means of dimensions and competences.
Amato, Solange Amorim
The research results presented in this paper were part of an action research performed with the aims of improving primary school student teachers (STs)' understanding of, and attitudes to, mathematics. The teaching strategies used to help STs' improve their understanding and attitudes were similar to the ones suggested for their future use in…
Nickerson, Susan D.
High quality teaching is critical to student learning, yet takes considerable time to develop in particular content areas. Students in high-poverty, urban settings are less likely to encounter experienced and trained teachers. Administrators from a large school district and university mathematics education faculty partnered and attempted to…
The purpose of this study was to determine the perceptions of pre-service mathematics teachers related to drama-based instruction. For this purpose, effects of a drama-based mathematics course on senior class pre-service mathematics teachers' knowledge about drama-based instruction and teacher candidates' competencies for developing and…
Teachers' instructional practices are greatly shaped by their own learning experiences as students in K-12 and college classrooms, which for most teachers was traditional, teacher-centered instruction. One of the challenges facing mathematics education reform is that, traditional teaching is in contrast to reform student- centered instruction. If teachers learn from their experiences as mathematics students, mathematics teacher educators are encouraged to model practices they would like teach...
Alkharusi, Hussain; Aldhafri, Said; Al-Hosni, Khoula; Al-Busaidi, Saleh; Al-Kharusi, Bader; Ambusaidi, Abdullah; Alrajhi, Marwa
A scale for measuring self-efficacy for teaching mathematics in grades 5 to 10 was developed in this study for teachers in Oman. The participants were 328 mathematics teachers randomly selected from five educational governorates in the Sultanate of Oman. Factorial structure of the scale revealed three subscales: self-efficacy for understanding the…
Heng, Mary Anne; Sudarshan, Akhila
This paper examines the perceptions and understandings of ten grades 1 and 2 Singapore mathematics teachers as they learned to use clinical interviews (Ginsburg, "Human Development" 52:109-128, 2009) to understand students' mathematical thinking. This study challenged teachers' pedagogical assumptions about what it means to teach for…
Ersen, Zeynep Bahar
Since mathematical proof and proving are in the center of mathematics; preservice mathematics teachers' perceptions against these concepts have a great importance. Therefore, the study aimed to determine preservice mathematics teachers' perceptions towards proof and proving through metaphors. The participants consisted of 192 preservice…
In a local middle school, students were not meeting standards on the state mathematics tests. The purpose of this qualitative study was to explore mathematics teachers' perspectives on effective mathematics instruction vis-a-vis the principles of the National Council of Teachers of Mathematics (NCTM). Within this framework, the 6 principles in the…
This paper discusses the need of the mathematics teacher to be equipped adequately in the content areas in mathematics, vis-a-vis the recent concerns about the poor performance of students in the pre-tertiary schools, and the competence of mathematics teachers in the field. The low performance in mathematics at the ...
Full Text Available In this research the motivation for learning mathematics was tested,as well as the effect of grades on the motivation of primary school level students. On a sample of N=100 participants, primary school students, we conducted a survey, the results of which show that the participants are more motivated with extrinsic factors, then intrinsic factors for learning mathematics. Grades are the main factor that has the most influence on the motivation level of students for learning mathematics, because students need good grades for their further education. The results also show that punishment and rewards from parents for bad and good grades has no effect on the motivation level of students
Researchers (Ball, 2003; Ma, 1999; Schulman, 1986) have long investigated how a teacher's subject matter and pedagogical content knowledge impact on students' learning of mathematics. In an attempt to account for the relationship between teacher knowledge and student learning, this study examined four Romanian first grade teachers' knowledge about…
The aim of this study is to present the findings of a study that examined the knowledge of mathematics teachers and teacher trainees, in different tracks, about the concepts, topics and characters from the history of mathematics. The findings indicate a lack of knowledge concerning most of the topics examined. Only about 40% of the participants knew about the origin of our counting system and the only item that reached above 50% was the item relating to the man who edited the book which is the basis for the plane geometry - Euclid (about 83%). Another meaningful finding was that the group with the highest score was that of mathematics teacher trainees in the accelerated track - a unique training scheme for middle school teachers (65.7%). The group with the lowest score was that of the elementary school mathematics student teachers (19.3%). One obvious conclusion is that we need to strengthen the knowledge of the history of mathematics in teacher training and in-service teachers' advanced studies.
Polemer M. Cuarto
Full Text Available Classroom climate has gained prominence as recent studies revealed its potentials as an effective mediator in the various motivational factors as well as an antecedent of academic performance outcome of the students. This descriptive-correlational study determined the level of classroom climate dimensions among teacher education students specializing in Mathematics at Mindoro State College of Agriculture and Technology. Employing a self-structured questionnaire adapted to the WIHIC (What Is Happening In this Class questionnaire, the surveyed data were treated statistically using Pearson’s r. Result showed that there was high level of classroom climate among the respondents in their Mathematics classes in both teacher-directed and student-directed dimensions specifically in terms of equity, teacher support, cohesiveness, involvement, responsibility and task orientation. Also, it revealed that equity and teacher support were both positively related to the students-directed classroom climate dimensions. With these results, teachers are seen to be very significant determinants of the climate in the classroom. Relevant to this, the study recommended that faculty should develop effective measures to enhance classroom climate dimensions such as equity and teacher support to address the needs of diverse studentsdespite large size classes. Moreover, faculty should provide greater opportunitiesfor the students to achieve higher level of responsibility, involvement, cohesiveness, and task orientation as these could motivate them to develop positive learning attitude, perform to the best of their ability, as well as maximize their full potential in school.
Zuya, Habila Elisha; Kwalat, Simon Kevin; Attah, Bala Galle
Pre-service mathematics teachers' mathematics self-efficacy and mathematics teaching self-efficacy were investigated in this study. The purpose was to determine the confidence levels of their self-efficacy in mathematics and mathematics teaching. Also, the study was aimed at finding whether their mathematics self-efficacy and teaching…
Lutovac, Sonja; Kaasila, Raimo
Mathematics education research has placed great emphasis on teacher identity, examining both pre- and in-service teachers, and within these cohorts, specialised mathematics teachers and non-specialists such as elementary teachers. Extensive research has already been done; hence, this paper discusses possible future directions for research on…
Gniewosz, Burkhard; Watt, Helen M G
This study examines whether and how student-perceived parents' and teachers' overestimation of students' own perceived mathematical ability can explain trajectories for adolescents' mathematical task values (intrinsic and utility) controlling for measured achievement, following expectancy-value and self-determination theories. Longitudinal data come from a 3-cohort (mean ages 13.25, 12.36, and 14.41 years; Grades 7-10), 4-wave data set of 1,271 Australian secondary school students. Longitudinal structural equation models revealed positive effects of student-perceived overestimation of math ability by parents and teachers on students' intrinsic and utility math task values development. Perceived parental overestimations predicted intrinsic task value changes between all measurement occasions, whereas utility task value changes only were predicted between Grades 9 and 10. Parental influences were stronger for intrinsic than utility task values. Teacher influences were similar for both forms of task values and commenced after the curricular school transition in Grade 8. Results support the assumptions that the perceived encouragement conveyed by student-perceived mathematical ability beliefs of parents and teachers, promote positive mathematics task values development. Moreover, results point to different mechanisms underlying parents' and teachers' support. Finally, the longitudinal changes indicate transition-related increases in the effects of student-perceived overestimations and stronger effects for intrinsic than utility values. (PsycINFO Database Record (c) 2017 APA, all rights reserved).
Aikpitanyi, Lucky Aiwuyor; Eraikhuemen, Lucy
The study investigated mathematics teachers' use of ethnomathematics approach to teaching. Descriptive survey research was used with a target population of all mathematics teacher in all public secondary schools in Oredo, Egor and Ikpoba-Okha local government areas of Edo State out of which 121 mathematics teachers in 42 randomly selected public…
Muhanna, Wafa; Nejem, Khamis Mousa
This study aimed at investigating the attitudes of mathematics teachers toward using a smart board in teaching mathematics and also to determine the effect of gender, experience, and qualification of teachers on their attitudes. The sample of this study consisted of 74 mathematics teachers--35 males and 39 females--from private schools in Amman…
The purpose of this study was to investigate preservice elementary mathematics teachers' ability of relating mathematical concepts and daily life context. Two research questions were set; what is the preservice elementary mathematics teachers' level of relating mathematical concepts and daily life context regarding to their education year and…
This study used phenomenography, a qualitative method, to investigate Taiwanese mathematics teachers' conceptions of school mathematics, school statistics, and their differences. To collect data, we interviewed five mathematics teachers by open questions. They also responded to statements drawn on mathematical/statistical conceptions and…
The present study examined the structure of elementary pre-service teachers' mathematics anxiety and mathematics teaching anxiety by asking whether the two systems of anxiety are related. The Turkish Mathematics Anxiety Rating Scale Short Version and the Mathematics Teaching Anxiety Scale were administered to 260 elementary pre-service teachers.…
Baker, Marshalyn; Mailhot, Michele; Graff, Paige Valderrama
This is a teacher's guide to assist teachers in developing modules on windows for use in both earth and space and astronaut photographs. Activities incorporating mathematical exercises are suggested for grades five through ten.
In his State of the Union address on January 31, 1990, President Bush set a goal for US students to be number one in the world in mathematics and science achievement by the year 2000. The Teachers Academy for Mathematics and Science in Chicago is an experiment of unprecedented boldness and scale that can provide a means to the President's goal, both for the Chicago area and as a national model. This document covers organization and governance, program activities, future training goals, and evaluation programs.
Full Text Available Studies have shown that number line estimation is important for learning. However, it is yet unclear if number line estimation predicts different mathematical skills in different grades after controlling for age, non-verbal cognitive ability, attention, and working memory. The purpose of this study was to examine the role of number line estimation on two mathematical skills (calculation fluency and math problem-solving in grade 2 and grade 4. One hundred and forty-eight children from Shanghai, China were assessed on measures of number line estimation, non-verbal cognitive ability (non-verbal matrices, working memory (N-back, attention (expressive attention, and mathematical skills (calculation fluency and math problem-solving. The results showed that in grade 2, number line estimation correlated significantly with calculation fluency (r = -0.27, p < 0.05 and math problem-solving (r = -0.52, p < 0.01. In grade 4, number line estimation correlated significantly with math problem-solving (r = -0.38, p < 0.01, but not with calculation fluency. Regression analyses indicated that in grade 2, number line estimation accounted for unique variance in math problem-solving (12.0% and calculation fluency (4.0% after controlling for the effects of age, non-verbal cognitive ability, attention, and working memory. In grade 4, number line estimation accounted for unique variance in math problem-solving (9.0% but not in calculation fluency. These findings suggested that number line estimation had an important role in math problem-solving for both grades 2 and 4 children and in calculation fluency for grade 2 children. We concluded that number line estimation could be a useful indicator for teachers to identify and improve children’s mathematical skills.
This study examined the differences in knowledge of mathematical modeling between a group of elementary preservice teachers and a group of elementary inservice teachers. Mathematical modeling has recently come to the forefront of elementary mathematics classrooms because of the call to add mathematical modeling tasks in mathematics classes through…
Rezeki, S.; Setyawan, A. A.; Amelia, S.
Mathematical understanding ability is a primary goal of Indonesian national education goals. However, various sources has shown that Indonesian students’ mathematical understanding ability is still relatively low. This study used quasi-experimental research design to examine the effectiveness of the application of Missouri Mathematics Project (MMP) on students’ mathematical understanding ability. The participants of the study were seventh grade students in Pekanbaru, Riau Province, Indonesia. They were selected purposively and represented as high, medium, and low-quality schools. The result of this study indicated that there was a significant effect of MMP on the overall students’ mathematical understanding ability and in all categories, except for low school level.
Yorulmaz, Alper; Altintas, Sedat; Sidekli, Sabri
The state of mathematical thinking is considered to have an effect on the formation of anxiety regarding teaching mathematics. It is hypothesized that with the formation of mathematical thinking, the anxiety in teachers regarding teaching mathematics will be reduced. Since mathematical thinking is a skill acquired starting from the early years of…
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…
Elementary school mathematics has gained increased attention in the last few decades. A growing field of research has studied the programmatic design and development of elementary mathematics teaching in teacher education, however, few studies have examined longitudinally the mathematics teaching of novice elementary teachers. Existing longitudinal studies on elementary mathematics teaching have generally focused on the effects of teacher preparation on their beginning practices and have exam...
Full Text Available In South Africa the National Curriculum Statement for Grades 10 – 12 (General: Mathematics (DoE, 2003 together with the Norms and Standards for Educators (DoE, 2000a are key policy documents that provide the official basis for mathematics education reform and for the construction of new pedagogic identities. In this paper I use a framework based on the work of Bernstein (1996, 2000 to theorise the construction of pedagogic identities. I use this to build on Graven’s (2002 description of the new official pedagogic identity of the South African mathematics teacher, and on Adler et al. (2002 and others to raise questions related to teacher knowledge and the challenges of developing specialist mathematics teacher identities through initial teacher education programmes.
The purpose of this study is to analyse the level of prospective classroom and mathematics teachers' anxieties about teaching mathematics. Freshman and junior prospective teachers from educational faculties of two different universities participated in this study. "Anxieties About Teaching Mathematics Scale" which was developed by Peker…
It is wellknown that the majority of South African learners achieve extremely poorly in Mathematics. Many claim that one of the causes of this poor attainment is teachers' weak knowledge of mathematics, and propose that improving teachers' mathematical knowledge would improve learner attainment. However, the ...
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…
This study measured pre-service teachers' mathematical knowledge for teaching (MKT) basic school mathematics. MKT multiple-choice test was administered to 100 pre-service teachers from two colleges of education (located at Mampong in the Ashanti Region of Ghana) to assess their mathematical knowledge for ...
Rogers, Rachelle Meyer; Cooper, Sandi; Nesmith, Suzanne M.; Purdum-Cassidy, Barbara
Children's literature involving mathematics provides a common, natural context for the sharing of mathematics. To learn more about how preservice teachers included children's literature in their mathematics lessons, a study was conducted over two semesters during a required field experience component of an undergraduate teacher education program.…
Yesildere-Imre, Sibel; Basturk-Sahin, Burcu Nur
This research examines middle school mathematics teachers' views regarding implementation of mathematical tasks and their enactments. We compare their views on tasks and their implementation, and determine the causes of difference between the two using qualitative research methods. We interview sixteen middle school mathematics teachers based on…
Lowery, Maye Norene Vail
The purposes of this study were to further the understanding of how preservice teacher construct teacher knowledge and pedagogical content knowledge of elementary mathematics and science and to determine the extent of that knowledge in a school-based setting. Preservice teachers, university instructors, inservice teachers, and other school personnel were involved in this context-specific study. Evidence of the preservice teachers' knowledge construction (its acquisition, its dimensions, and the social context) was collected through the use of a qualitative methodology. Collected data included individual and group interviews, course documents, artifacts, and preservice teaching portfolios. Innovative aspects of this integrated mathematics and science elementary methods course included standards-based instruction with immediate access to field experiences. Grade-level teams of preservice and inservice teachers planned and implemented lessons in mathematics and science for elementary students. An on-site, portable classroom building served as a mathematics and science teaching and learning laboratory. A four-stage analysis was performed, revealing significant patterns of learning. An ecosystem of learning within a constructivist learning environment was identified to contain three systems: the university system; the school system; and the cohort of learners system. A mega system for the construction of teacher knowledge was revealed in the final analysis. Learning venues were discovered to be the conduits of learning in a situated learning context. Analysis and synthesis of data revealed an extensive acquisition of teacher knowledge and pedagogical content knowledge through identified learning components. Patience, flexibility, and communication were identified as necessities for successful teaching. Learning components included: collaboration with inservice teachers; implementation of discovery learning and hands-on/minds-on learning; small groupwork; lesson planning
Tobey, Cheryl Rose
Pinpoint and reverse math misconceptions with laser-like accuracyQuickly and reliably uncover common math misconceptions in Grades 6-8 with these convenient and easy-to-implement diagnostic tools! Bestselling authors Cheryl Tobey and Carolyn Arline provide 25 new assessment probes that pinpoint subconcepts within the new Common Core Standards for Mathematics to promote deep learning and expert math instruction--while learning is already underway.Completely CCSM aligned, these grade-specific probes eliminate the guesswork and help teachers: Systematically address conceptual and procedural mistakes Help students better understand areas of struggle Plan targeted instruction that covers Grades 6-8 CCSM mathematical processes and proficiencies.
Anhalt, Cynthia Oropesa; Cortez, Ricardo
This study examines the evolution of 11 prospective teachers' understanding of mathematical modeling through the implementation of a modeling module within a curriculum course in a secondary teacher preparation program. While the prospective teachers had not previously taken a course on mathematical modeling, they will be expected to include…
Ryve, Andreas; Nilsson, Per; Mason, John
Teacher educators' processes of establishing "mathematics for teaching" in teacher education programs have been recognized as an important area for further research. In this study, we examine how two teacher educators establish and make explicit features of mathematics for teaching within classroom interactions. The study shows how the…
An, Song A.; Tillman, Daniel; Shaheen, Andrea; Boren, Rachel
This study examined preservice teachers' perceptions about teaching elementary level mathematics lessons integrated with music. It also sought to determine how preservice teachers would strategize the integration of music activities when introducing elementary level mathematics lessons. The participants, 53 undergraduate preservice teachers at a…
Mathematics Reform and Teacher Quality in Elementary Grades: Assessments, Teacher Licensure, and Certification Reforma matemática y calidad docente en la escuela primaria: Evaluaciones, licencias y certificación docente Reforma matemática e qualidade de professores no Ensino Fundamental: Avaliações, licenciamento e certificação de professores
Full Text Available We analyzed the gap in mathematics standards, assessments and accountability, and teacher licensure and certification requirements in mathematics for elementary grades. We found states delineated mathematics academic standards in specific content areas. Licensure and certification requirements were weak indicators since they lacked the specificity of conceptual and procedural knowledge that could strengthen mathematics content knowledge and inform instructional practices. The most recent changes in licensure and certification requirements intended to affect teacher quality are not reaching a large proportion of elementary teachers; thus, their overall impact on teacher quality is likely to be limited. We discuss policy strategies for licensure and certification requirements likely to have a broader reach in addressing teacher quality at the elementary grades. Se analizaron las diferencias en estándares, evaluaciones, procesos de rendición de cuentas, y requisitos de certificación docente en el área de matemáticas para la escuela primaria. Encontramos que los Estados determinaron los niveles académicos en matemáticas en áreas de contenido específicos. Las licencias y los requisitos de certificación son indicadores débiles porque carecen de especificidad sobre conocimientos conceptuales y de procedimiento que podrían reforzar los conocimientos acerca de los contenidos de matemáticas e ayudar a mejorar a las prácticas de enseñanza. Los cambios más recientes en los modelos de licenciamiento y los requisitos de certificación que intentan mejorar la calidad de la formación de los docentes en el área de matemáticas no llegan a la mayoría de los maestros de primaria, por lo que su impacto global es bastante limitado. Discutimos las estrategias de política para obtener la licencia y los requisitos de certificación que podrían tener un mayor alcance para mejorar la calidad de los docentes en la escuela
De Smedt, Bert; Janssen, Rianne; Bouwens, Kelly; Verschaffel, Lieven; Boets, Bart; Ghesquière, Pol
This longitudinal study examined the relationship between working memory and individual differences in mathematics. Working memory measures, comprising the phonological loop, the visuospatial sketchpad, and the central executive, were administered at the start of first grade. Mathematics achievement was assessed 4 months later (at the middle of first grade) and 1 year later (at the start of second grade). Working memory was significantly related to mathematics achievement in both grades, show...
Karali, Diren; Durmus, Soner
The current study aimed to identify the views of pre-service teachers, who attended a primary school mathematics teaching department but did not take mathematical modeling courses. The mathematical modeling activity used by the pre-service teachers was developed with regards to the modeling activities utilized by Lesh and Doerr (2003) in their…
Agashi, Pius P.; Enemali, I. A.
The study sought to investigate mathematics teachers' conceptualization of the spiritual, moral social and cultural (SMSC) role of mathematics in Ankpa Education Zone of Kogi State. It used a purposive sample of all the 82 mathematics teachers in the zone comprising of 64 male and 18 female. The instrument used for the study was SMSC Role of…
Keles, Oguz; Tas, Isil; Aslan, Durmus
The aim of this study was to identify the thoughts of pre-service teachers, who play an important role in the early preschool experience of children in mathematics, towards the concepts of mathematics and education of mathematics with the help of metaphors. The study group of the research consists of a total of 227 pre-service teachers at the…
Conrad, Karen S.; Tracy, Dyanne M.
Research has shown that elementary teachers are mathematics anxious, and that this anxiousness can be transmitted to their students. Therefore, many students are not afforded the opportunity to participate in a comfortable mathematics environment. Preservice elementary teachers (n=63) reported their pre- and posttest mathematics anxiety using the…
Smith, Marvin E.; Swars, Susan L.; Smith, Stephanie Z.; Hart, Lynn C.; Haardorfer, Regine
This longitudinal study examines the effects of changes in an elementary teacher preparation program on mathematics beliefs and content knowledge for teaching of two groups of prospective teachers (N = 276): (1) those who completed a program with three mathematics content courses and two mathematics methods courses and (2) those who completed a…
African Journal of Educational Studies in Mathematics and Sciences Vol. 12, 2016. 45 ... The study explored Ghanaian primary school mathematics teachers' ideas, beliefs and ...... Journal of science and technology, 24(2), 106 -115. Palmer ...
Warburton, Trevor Thayne
For many, mathematics and social justice are perceived as incompatible. Several mathematics education researchers have noted resistance to social justice among mathematics teachers. However, mathematics education has a consistently negative impact on the education of students of color. This study seeks to better understand the nature of this…
Lee, Kyeong-Hwa; Lee, Eun-Jung; Park, Min-Sun
It has been asserted that mathematical tasks play a critical role in the teaching and learning of mathematics. Modification of tasks included in intended curriculum materials, such as textbooks, can be an effective activity for prospective teachers to understand the role of mathematical tasks in the teaching and learning of mathematics; designing…
Jones, Keith; Pepin, Birgit
Mathematical tasks and tools, including tasks in the form of digital tools, are key resources in mathematics teaching and in mathematics teacher education. Even so, the "design" of mathematical tasks is perceived in different ways: sometimes seen as something distinct from the teaching and learning process, and sometimes as integral to…
Jansen, Amanda; Berk, Dawn; Meikle, Erin
In this article, Amanda Jansen, Dawn Berk, and Erin Meikle investigate the impact of mathematics teacher education on teaching practices. In their study they interviewed six first-year teachers who graduated from the same elementary teacher education program and who were oriented toward teaching mathematics conceptually. They observed each teacher…
Mkhize, Msizi Vitalis; Maistry, Suriamurthee Moonsamy
Mathematics proficiency has an acknowledged impact on students' accounting grades. Success in this core business subject is dependent on students' mathematical aptitude, attitude and type of secondary schooling. Our study investigated accounting students' attitudes to mathematics on domains of the Fennema-Sherman Mathematics Attitudes Scales…
Full Text Available Technology is rapidly improving in both hardware and software side. As one of the contemporary needs people should acquire certain knowledge, skills, attitudes and habits to understand this technology, to adapt to it and to make use of its benefits. In addition, as in all domains of life, change and improvement is also unavoidable for educational field. As known, change and improvement in education depends on lots of factors. One of the most important factors is teacher. In order to disseminate educational reforms, teachers themselves should accept the innovation first (Hardy, 1998, Baki, 2002; Oral, 2004. There has been variety of studies investigating teacher and prospective teachers‟ competences, attitudes and opinions (Paprzychi, Vikovic & Pierson, 1994; Hardy, 1998; Kocasaraç, 2003; Lin, Hsiech and Pierson, 2004; Eliküçük, 2006; YeĢilyurt, 2006; Fendi, 2007; Teo, 2008; Arslan, Kutluca & Özpınar, 2009. As the common result of these studies indicate that teachers‟ interest towards using instructional technology have increased. Accordingly, most of the teachers began to think that using instructional technologies becomes inevitable for teachers. By reviewing the related literature, no studies have been come across comparing the opinions of teachers and teacher candidates about instructional technologies. In this study, it was aimed to investigate and compare the views of mathematics teachers with prospective mathematics teachers about ICT. It was considered that collecting opinions of teachers and teachers candidates about the instructional technologies, comparing and contrasting them will contribute to the field. To follow this research inquiry, a descriptive approach type; case study research design was applied. The reason for choosing such design is that the case study method permits studying one aspect of the problem in detail and in a short time (Yin, 2003; Çepni, 2007. The study was conducted with the total sample of 12. 3 of
Hebert, Michael A.; Powell, Sarah R.
Increasingly, students are expected to write about mathematics. Mathematics writing may be informal (e.g., journals, exit slips) or formal (e.g., writing prompts on high-stakes mathematics assessments). In order to develop an effective mathematics-writing intervention, research needs to be conducted on how students organize mathematics writing and…
Characterizing the quality of teacher education programs and courses Supported by the Ministry of Science and Technology Working for three years Three universities working on secondary mathematics pre- service teacher education Almeria, Cantabria and Granada With a common model
Theory-practice Dichotomy in Mathematics Teacher Education: An Analysis of Practicum ... Zimbabwe Journal of Educational Research ... practices in primary teacher education continue to create dichotomous gaps in this relationship.
Zahra, L.; Kusmayadi, T. A.; Usodo, B.
This study describes the kinds of questions asked by novice teachers during mathematics learning process in senior high school. This study used descriptive analysis. The subjects of this study were two novice teachers who teach mathematics in 10th grade. The result showed that the frequently asked questions by novice teachers based on the objective were compliance questions, rethorical questions and sometimes prompting questions and probing questions. The frequently questions asked by novice teacher based on the cognitive process dimension of Revised Bloom’s Taxonomy were questions of remembering, questions of understanding, questions of applying, questions of analyzing and questions of evaluating. The novice teachers asked the routine questions which had same thinking level. The question with the highest level of thinking did not asked by the novice teachers.
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
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…
to the ATD, it is illustrated with an example on addition of fractions how the notions of didactic transposition and praxeology can be used to analyse the theory-practice relation in this situation. Build on this analysis, the two models are combined into a more comprehensive model for describing......The challenge of establishing an interplay between theory and practice in mathematics teacher education is examined by the use of the anthropological theory of the didactic (ATD). The theory-practice problem is described both in an international and a Danish context. After a brief introduction...
Simzar, Rahila M.; Domina, Thurston; Tran, Cathy
This study uses student panel data to examine the association between Algebra placement and student motivation for mathematics. Changes in achievement goals, expectancy, and task value for students in eighth grade Algebra are compared with those of peers placed in lower-level mathematics courses (N = 3,306). In our sample, students placed in Algebra reported an increase in performance-avoidance goals as well as decreases in academic self-efficacy and task value. These relations were attenuated for students who had high mathematics achievement prior to Algebra placement. Whereas all students reported an overall decline in performance-approach goals over the course of eighth grade, previously high-achieving students reported an increase in these goals. Lastly, previously high-achieving students reported an increase in mastery goals. These findings suggest that while previously high-achieving students may benefit motivationally from eighth grade Algebra placement, placing previously average- and low-performing students in Algebra can potentially undermine their motivation for mathematics. PMID:26942210
Simzar, Rahila M; Domina, Thurston; Tran, Cathy
This study uses student panel data to examine the association between Algebra placement and student motivation for mathematics. Changes in achievement goals, expectancy, and task value for students in eighth grade Algebra are compared with those of peers placed in lower-level mathematics courses (N = 3,306). In our sample, students placed in Algebra reported an increase in performance-avoidance goals as well as decreases in academic self-efficacy and task value. These relations were attenuated for students who had high mathematics achievement prior to Algebra placement. Whereas all students reported an overall decline in performance-approach goals over the course of eighth grade, previously high-achieving students reported an increase in these goals. Lastly, previously high-achieving students reported an increase in mastery goals. These findings suggest that while previously high-achieving students may benefit motivationally from eighth grade Algebra placement, placing previously average- and low-performing students in Algebra can potentially undermine their motivation for mathematics.
Full Text Available In this article the interconnections of course of mathematical logic with other mathematical courses – geometry, algebra and theory of numbers, mathematical analysis, and also with the courses of mathematics teaching methodology, history of mathematics in the system of preparation of teachers of mathematics in pedagogical Institute of higher education are analyzed. The presence of connections between the elements of the system and their quality is the important description of the pedagogical system.
Hemmi, Kirsti; Ryve, Andreas
This article explores effective mathematics teaching as constructed in Finnish and Swedish teacher educators' discourses. Based on interview data from teacher educators as well as data from feedback discussions between teacher educators and prospective teachers in Sweden and Finland, the analysis shows that several aspects of the recent…
Abdullah, Mohd Faizal Nizam Lee; Vimalanandan, Lena
Teaching practice during school based experiences, afford an opportunity for pre service teachers to put into practice their knowledge for teaching mathematics. Like all knowledge, Mathematical Knowledge for Teaching (MKT) is held in both tacit and explicit form, making it especially difficult to study and map during instruction. This study investigates the tacit and explicit nature of MKT held by pre service teachers in a Malaysian Teacher Education Program and how it impacts the Mathematical Quality of their instruction (MQI). This study of three mathematics pre-service teachers (PSTs), utilised videos of mathematics lessons, reflective debriefs and interviews. The findings suggest that factors such as reflecting, peer-sharing, conferencing with mentors and observing support in making tacit knowledge more explicit during planning and instruction. Implications for preparation of mathematics teachers capable of high Mathematical Quality of Instruction are also discussed.
The current paper primarily aims to investigate pre-service science and mathematics teachers' personal growth initiative levels. The second aim of the study is to examine whether participants' initiative levels differ in relation to their gender, grade, department, perceived academic achievement, and willingness to attend graduate education after…
This study explores how a problem-solving based professional learning community (PLC) affects the beliefs, knowledge, and instructional practices of two sixth-grade mathematics teachers. An interview and two observations were conducted prior to beginning the year-long PLC in order to gather information about the participants' beliefs,…
Incikabi, Lutfi; Tuna, Abdulkadir; Biber, Abdullah Cagri
This study aimed to investigate the existence of the relationship between mathematics teacher candidates' critical thinking skills and their logical thinking dispositions in terms of the variables of grade level in college, high school type, and gender. The current study utilized relational survey model and included a total of 99 mathematics…
Thrasher, Emily Plunkett
The goal of this thesis was to investigate and enhance our understanding of what occurs while pre-service mathematics teachers engage in a mathematical modeling unit that is broadly based upon mathematical modeling as defined by the Common Core State Standards for Mathematics (National Governors Association Center for Best Practices & Council…
The Mathematics Education Debate is an assignment designed for and implemented in an undergraduate mathematics methods course for prospective secondary school mathematics teachers. For the assignment, students read and analyze current research and policy reports related to mathematics education, prepare and present their positions, offer…
Full Text Available It has been asserted that mathematical tasks play a critical role in the teaching and learning of mathematics. Modification of tasks included in intended curriculum materials, such as textbooks, can be an effective activity for prospective teachers to understand the role of mathematical tasks in the teaching and learning of mathematics; designing of new tasks requires more knowledge and experience. This study aims to identify the patterns that Korean prospective mathematics teachers seem to follow when they modify the mathematical tasks in textbooks. Knowledge utilized by prospective teachers while they modify textbook tasks is identified and characterized in order to understand the possible factors that have an impact on Korean prospective mathematics teachers' modification of tasks.
Robinson-Cimpian, Joseph P; Lubienski, Sarah Theule; Ganley, Colleen M; Copur-Gencturk, Yasemin
A recent wave of research suggests that teachers overrate the performance of girls relative to boys and hold more positive attitudes toward girls' mathematics abilities. However, these prior estimates of teachers' supposed female bias are potentially misleading because these estimates (and teachers themselves) confound achievement with teachers' perceptions of behavior and effort. Using data from the Early Childhood Longitudinal Study, Kindergarten Class of 1998-1999 (ECLS-K), Study 1 demonstrates that teachers actually rate boys' mathematics proficiency higher than that of girls when conditioning on both teachers' ratings of behavior and approaches to learning as well as past and current test scores. In other words, on average girls are only perceived to be as mathematically competent as similarly achieving boys when the girls are also seen as working harder, behaving better, and being more eager to learn. Study 2 uses mediation analysis with an instrumental-variables approach, as well as a matching strategy, to explore the extent to which this conditional underrating of girls may explain the widening gender gap in mathematics in early elementary school. We find robust evidence suggesting that underrating girls' mathematics proficiency accounts for a substantial portion of the development of the mathematics achievement gap between similarly performing and behaving boys and girls in the early grades. PsycINFO Database Record (c) 2014 APA, all rights reserved.
Birgin, Osman; Baloglu, Mustafa; Catlioglu, Hakan; Gurbuz, Ramazan
The purpose of the present study is to investigate mathematics anxiety among 220 sixth through eighth grade Turkish students in terms of mathematics achievement levels, perceived enjoyment of the mathematics teaching method, perceived enjoyment of mathematics, and perceived help with mathematics from parents. The Mathematics Anxiety Scale for…
Özdemir, İ. Elif Yetkin; Pape, Stephen J.
Mathematics education research has documented several classroom practices that might influence student self-regulation. We know little, however, about the ways these classroom practices could be structured in real classroom settings. In this exploratory case study, we purposefully selected a sixth-grade mathematics teacher who had participated in a professional development program focussed on NCTM standards and SRL in the mathematics classroom for extensive classroom observation. The purpose was to explore how and to what extend she structured classroom practices to support strategic competence in her students. Four features of classroom practices were found as evidence for how strategic competence was potentially supported in this classroom: (a) allowing autonomy and shared responsibility during the early stages of learning, (b) focusing on student understanding, (c) creating contexts for students to learn about strategic learning and to exercise strategic behaviour, and (d) helping students to personalise strategies by recognising their ideas and strategic behaviours.
Rogerson, Alan, Ed.
This document contains six separate works, titled: (1) Functions and Physics; (2) Links Between Geography and Mathematics; (3) Our Inheritance: Common Ground for the Mathematics and Biology Teacher; (4) Mathematics and Chemistry: The Classroom Interface; (5) Mathematical Modeling; and (6) Mathematical Modeling with Calculus. This series of…
Kleemans, Tijs; Segers, Eliane; Verhoeven, Ludo
The current study investigated the direct and indirect relations between basic linguistic skills (i.e., phonological skills and grammatical ability) and advanced linguistic skills (i.e., academic vocabulary and verbal reasoning), on the one hand, and fifth-grade mathematics (i.e., arithmetic, geometry, and fractions), on the other, taking working memory and general intelligence into account and controlling for socioeconomic status, age, and gender. The results showed the basic linguistic representations of 167 fifth graders to be indirectly related to their geometric and fraction skills via arithmetic. Furthermore, advanced linguistic skills were found to be directly related to geometry and fractions after controlling for arithmetic. It can be concluded that linguistic skills directly and indirectly relate to mathematical ability in the upper grades of primary education, which highlights the importance of paying attention to such skills in the school curriculum. Copyright © 2017 Elsevier Inc. All rights reserved.
Ahmad, D.; Suherman, S.; Maulana, H.
The aim of this paper was to examine the ability of junior high school mathematics teachers to solve mathematical literacy base Problems (PISA and PISA-like problems) for the case Pasaman regency. The data was collected by interviews and test. As the results of this study, teacher ability in solving mathematical literacy base problems for level 1 until 3 has been good, but for level 4 or above is still low. It is caused by teacher knowledge about mathematical literacy still few.
Full Text Available This article looks at writing tasks as a methodology to support learners’ mathematical problemsolving strategies in the South African Foundation Phase context. It is a qualitative case study and explores the relation between the use of writing in mathematics and development of learners’ problem-solving strategies and conceptual understanding. The research was conducted in a suburban Foundation Phase school in Cape Town with a class of Grade 3 learners involved in a writing and mathematics intervention. Writing tasks were modelled to learners and implemented by them while they were engaged in mathematical problem solving. Data were gathered from a sample of eight learners of different abilities and included written work, interviews, field notes and audio recordings of ability group discussions. The results revealed an improvement in the strategies and explanations learners used when solving mathematical problems compared to before the writing tasks were implemented. Learners were able to reflect critically on their thinking through their written strategies and explanations. The writing tasks appeared to support learners in providing opportunities to construct and apply mathematical knowledge and skills in their development of problem-solving strategies.
Mkhize, Msizi Vitalis; Maistry, Suriamurthee Moonsamy
Mathematics proficiency has an acknowledged impact on students' accounting grades. Success in this core business subject is dependent on students' mathematical aptitude, attitude and type of secondary schooling. Our study investigated accounting students' attitudes to mathematics on domains of the Fennema-Sherman Mathematics Attitudes Scales (F-SMAS) and identified demographic variables in overall attitudes to mathematics, which are pertinent to higher education pedagogy for accountancy. Eigh...
Hilton, C.; Houssart, J.
We draw on analysis of assignments by primary teachers as part of the assessment for the Mathematics Specialist Teachers programme (MaST). In the assignment teachers are asked to work on some mathematics themselves, write up the mathematical part of their work then write about how this experience has impacted on their practice as a primary teacher. We focus first on case studies of teachers who included algebraic work in the first part of their assignments and look at what they say about the ...
Full Text Available BACKGROUND Difficulties in solving mathematical word problems (MWP are one of the most common reasons for weak mathematics performance, and poor mathematical literacy has important implications for an individual’s further education, employment opportunities, mental health and quality of life in today’s modern technological society. The purpose of the study was to examine whether Slovenian good and poor MWP solvers differ in arithmetic knowledge and skills, non-verbal reasoning, pupils’ self-evaluations of MWP abilities, teachers’ assessment of their mathematical knowledge and what strategies fifth- grade learners use in solving MWP. PARTICIPANTS AND PROCEDURE The larger sample included 233 pupils from 14 fifth-grade classes (mean age 10 years 3 months and 14 teachers. On the basis of the teachers’ opinions and the results of MWP solving two sub-samples of 24 students were formed, good and poor MWP solvers. Several tests were used to determine MWP solving ability, automation of arithmetic facts and procedures as well as Raven’s SPM. Questionnaires for pupils were used to assess pupils’ estimations of MWP tasks’ difficulty, their own ability to solve them and the strategies used. To assess pupils’ knowledge a questionnaire for teachers was used. RESULTS Slovenian 5 th graders in the larger sample generally used very few empirically proven effective cognitive and metacognitive strategies to solve MWP. Pupils with lower achievement in solving MWP, compared to pupils with higher achievement demonstrated significantly less automated arithmetic facts and procedures of the algorithm, less flexible use of arithmetic skills, as well as qualitatively different MWP solving, which is also related to their lower non-verbal reasoning. Teachers’ assessments and pupils’ self-assessments matched the achieved test results. CONCLUSIONS The results exposed important key factors for successful solving of mathematical word problems with
Arkansas State Dept. of Education, Little Rock.
This document presents the application and use of mathematics learning proposed by the Arkansas curriculum frameworks for grades 5-8. The standards are presented in chart form and organized into five strands: (1) number sense, properties, and operations; (2) geometry and spatial sense; (3) measurement; (4) data analysis, statistics, and…
Cheng, Qiang; Hsu, Hsien-Yuan
Using Trends in International Mathematics and Science Study (TIMSS) 2011 eighth-grade international dataset, this study explored the profiles of instructional practices reported by high- and low-performing mathematics teachers across the US, Finland, Korea, and Russia. Concepts of conceptual teaching and procedural teaching were used to frame the…
Kutaka, Traci Shizu; Smith, Wendy M.; Albano, Anthony D.; Edwards, Carolyn Pope; Ren, Lixin; Beattie, Heidi Lynn; Lewis, W. James; Heaton, Ruth M.; Stroup, Walter W.
The present study investigated the effects of "Primarily Math", an inservice elementary mathematics specialist program. "Primarily Math" sought to augment the mathematical knowledge for teaching of kindergarten through third-grade teachers using a longitudinal multiple cohort design. Two sets of analyses were conducted. The…
Hart, Eric W.; And Others
Discrete mathematics are defined briefly. A course in discrete mathematics for high school students and teaching discrete mathematics in grades 7 and 8 including finite differences, recursion, and graph theory are discussed. (CW)
Annenberg Media, 2005
"Connecting with the Arts: A Workshop for Middle Grades Teachers" is a video workshop for middle school teachers of the arts and other subjects. The workshop includes eight hour-long video programs and a companion workshop guide and Web site. The workshop shows middle school teachers why and how to integrate the arts (dance, music, theatre, and…
Blanchard, B. Everard
The Illinois Ratings of Teacher Effectiveness (IRTE) is an instrument for recording senior high school student perceptions of teacher performance in ten trait areas: teacher appearance, ability to explain, friendliness, grading fairness, discipline, outside classroom assignments, enjoyment of teaching, voice, mannerisms, and command of subject…
Yahaya, Mohamad Fadhili Bin; Noor, Mohd Asri Bin Mohd; Mokhtar, Ahmad Azman Bin; Rawian, Rafizah Binti Mohd; Othman, Mahmod Bin; Jusoff, Kamaruzaman
The policy to change the medium of instruction in the teaching of Mathematics and Science from Bahasa Melayu (Malay Language) to English in 2003 is an important innovation affecting not only the students but also teachers of Mathematics and Science. However, how far the changes affect the teachers is the issue addressed in the paper. In fact the…
Björklund, Camilla; Barendregt, Wolmet
Revised guidelines for Swedish early childhood education that emphasize mathematics content and competencies in more detail than before raise the question of the status of pedagogical mathematical awareness among Swedish early childhood teachers. The purpose of this study is to give an overview of teachers' current pedagogical mathematical…
Butuner, Suphi Onder; Filiz, Mehmet
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…
Stripling, Christopher T.; Roberts, T. Grady; Stephens, Carrie A.
The purpose of this study was to describe the mathematics ability of preservice agricultural education teachers related to each of the National Council of Teachers of Mathematics (NCTM) content/process areas and their corresponding sub-standards that are cross-referenced with the National Agriculture, Food and Natural Resources Career Cluster…
Teachers frequently encounter students with learned helplessness who are discouraged, turned off, or have given up trying to learn mathematics. Although learned helplessness has a long history in psychology, there has been no reliable means by which mathematics teachers can identify students exhibiting these debilitating yet changeable…
Yazgan-Sag, Gönül; Emre-Akdogan, Elçin
Although creativity plays a critical role in mathematics, it remains underestimated in the context of a mathematics classroom. This study aims to explore the views and differences creativity displays in prospective teachers and one of their lecturers with respect to the characteristics and practices of creative teachers and the characteristics of…
This project highlights preschool teachers' views of toddlers' learning in mathematics. The Swedish national curriculum covers even the youngest children who are 1-3?years old. Interesting questions are thus: what should mathematics be for this age group and how should preschool teachers work with maths to achieve the curriculum objectives? Data…
Exploring and developing primary teachers' understanding of mathematical reasoning was the focus of the "Mathematical Reasoning Professional Learning Research Program." Twenty-four primary teachers were interviewed after engagement in the first stage of the program incorporating demonstration lessons focused on reasoning conducted in…
The purpose of this study is to develop a scale to determine pre-service mathematics teachers' perceptions related to their pedagogical content knowledge. Firstly, a preliminary perception scale of pedagogical content knowledge was constructed and then administered to 112 pre-service mathematics teachers who were ...
first year teacher training mathematics syllabus were not taught by the end of the year and which ones were ... In the teacher training colleges in Ghana, Mathematics is studied as a compulsory subject in the first and .... as well as provide a 'search device', when an inquiry is beginning (Babbie,. 1990). The main focus in this ...
Montecino, Alex; Valero, Paola
The research fabricates an image of mathematics teachers, which shape our knowledge and truths about teachers. This image sustains the development of different discursive formations. The image’s configuration is entangled with spatio-temporal conditions, which are shaped by diverse social, cultural...... and political contexts. In this work, we are studying discourses —about the mathematics teacher that are circulating in the research— from some theoretical toolbox of Foucault (1980) and Deleuze (1994) and from the methodological toolbox of Pais and Valero (2012). We are seeking to explore how discourses...... are operating in the fabrication of the mathematics teacher as a subject and in the production of truths about them....
Hayati, R.; Fauzan, A.; Iswari, M.; Khaidir, A.
The purpose of this study was to develop a model of Holistic Mathematics Education (HME) among systems based on low-grade primary school students so that students have a solid foundation when entering a higher behavior. This type of research is desaign research developed by Plomp to have three stages, namely the preliminary research, development or prototyping phase, and assessement Phase. This research resulted in a model Holistic Mathematics Education (HME) -based system is among the primary school students low grade consists of 10 stages, namely 1) Recap through the neighborhood, 2) Discussion groups by exploiting the environment, 3) Demonstration Group, 4) Exercise individuals, 5) mathematical modeling, 6) Demonstration of individuals, 7) Reflections, 8) impressions and messages, and giving meaning, 9) Celebrations and 10) A thorough assessment. Furthermore, this model also produces 7 important components that should be developed teacher, namely 1) constructivism, 2) the nature of nature, 3) independence, 4) parable, 5) inquiry, 6) cooperation, and 7) strengthening. This model will produce a model in the form of books, student books and teacher's guide book as a support system that can help users in its application.
Pyper, Jamie Scott
In a mixed method study, teacher efficacy and contributing theoretical constructs of teacher concerns and teacher orientation with Intermediate/Senior mathematics preservice teachers from two Ontario Faculties of Education are examined. Data sources include a web-based questionnaire containing two teacher efficacy scales and short answer…
Wiley, Caroline Rose Hummel
The majority of the research on grading practices thus far examines teachers' perceived grading practices through Likert-type surveys and vignettes regarding generic students. This study is unique because it proposes a more systematic method of qualitative inquiry to examine how teachers perceive grading on an individual student basis by asking…
Kaya, Defne; Aydin, Hasan
Mathematical thinking skills and meaningful mathematical understanding are among the goals of current mathematics education. There is a wide consensus among scholars about the purpose of developing mathematical understanding and higher order thinking skills in students. However, how to develop those skills in classroom settings is an area that…
Panthi, Ram Krishna; Luitel, Bal Chandra; Belbase, Shashidhar
The purpose of this study was to explore mathematics teachers' perception of social justice in mathematics classrooms. We applied interpretive qualitative method for data collection, analysis, and interpretation through iterative process. We administered in-depth semi-structured interviews to capture the perceptions of three mathematics teachers…
Buck, Robert E.
One of the major problems facing education today is the inadequate mathematics' preparation of pre-college students and their teachers. Most colleges and universities have well established programs for students planning to teach mathematics at the secondary schools; however, in many institutions pre-secondary mathematics has been addressed only…
The nature of mathematics teachers' knowledge specific to teaching mathematics [MTK] is of ongoing concern in mathematics education research. This article contributes to our under-standing of this knowledge with particular focus on reflective awareness. It discusses MTK based on ways it has been used in research. It highlights reflective awareness…
Bannister, Nicole A.
Persistent disconnects within and among education research, practice, and policy are limiting the reach of professional mathematics teacher communities, one of the most promising levers for humanizing mathematics teaching and learning in schools. An overarching goal of this commentary is to convince the field of mathematics education to broaden…
Promoting mathematical creativity is one of the aims of mathematics education. This study investigates the tasks teachers chose when their aim was to occasion mathematical creativity in the classroom. Five cases are described in depth, and general trends found among these cases as well as in additional data are discussed. Findings indicated that…
Smith, Ryan; Shin, Dongjo; Kim, Somin
In this paper, we propose the mathematical cognitive technology noticing framework for examining how mathematics teachers evaluate, select, and modify mathematical cognitive technology to use in their classrooms. Our framework is based on studies of professional and curricular noticing and data collected in a study that explored how secondary…
The study investigated the constraints in the preparation of Mathematics teachers in the colleges of education and the possible way forward. It used an ex-post facto research design in the colleges of education in Nigeria. 165 final year students of Mathematics and 30 Mathematics lecturers were selected samples from the 6 ...
Dove, Anthony; Dove, Emily
In preparing future elementary educators in mathematics, helping them overcome their anxieties of mathematics and teaching mathematics is paramount. This study examined how different instructional practices (in-class lecture, flipped learning with teacher-created videos, flipped classroom with Khan Academy videos) compared in improving students'…
Ng'eno, J. K.; Chesimet, M. C.
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…
Cummings, Margarita Borelli
This dissertation examines the extent to which novice secondary mathematics teachers (licensed and currently teaching in Utah) perceive they are prepared to do the work of teaching secondary mathematics. It first examined if novice secondary mathematics teachers' perceptions of their knowledge and skills of doing their work fell into four…
Full Text Available This study reports on an intervention that was aimed at improving the content knowledge of first-year intermediate-phase education students at a South African university. The study gives some insight into preservice teachers’ perceptions of an online programme for the development of mathematics common content knowledge for teachers of mathematics in the intermediate grades. The effectiveness of the intervention programme was analysed according to Shapiro’s evaluation criteria for intervention research. The findings show that there has been a positive shift in preservice teachers’ common content knowledge but that there is much room for further development. The student teachers found the programme to be of great benefit with regard to the development of their mathematics knowledge as well as their confidence as future teachers of mathematics. The findings highlighted their disturbingly limited knowledge of mathematics content knowledge and pointed to the responsibility of teacher education departments at universities to implement sufficient maths content courses that will address the status quo of poor mathematics teaching in South African primary schools. The authors conclude that the students need to spend much more time on ‘catching up’ before they become teachers.
Chen, Weiyun; Rovegno, Inez; Cone, Stephen L; Cone, Theresa P
The purpose of this study was to describe how an accomplished teacher taught second-grade students to design games that integrated movement and mathematics content. The participants were one physical education teacher; a classroom teacher, and an intact class of 20 second-grade students. Qualitative data were gathered through videotaping of all lessons, descriptions of 20 children's responses to all lesson segments, and interviews with all participants. In keeping with constructivist principles, the teacher used a progression of tasks and multiple instructional techniques to scaffold the design process allowing children to design games that were meaningful to them. Contrary to descriptions of scaffolding fading across a unit, in this study the scaffolding was a function of the interaction between learners' needs and task content.
Pelgrum, W.J.; Voogt, Joke
This paper explores school and teacher factors that are associated with the frequency of use of ICT by mathematics teachers. The SITES 2006 data base was used to compare countries with a relative high percentage of frequently ICT-using mathematics teachers (HIMA countries) with countries with a
Teuscher, Dawn; Tran, Dung; Reys, Barbara J.
The Common Core State Standards for Mathematics (CCSSM) is a primary focus of attention for many stakeholders' (e.g., teachers, district mathematics leaders, and curriculum developers) intent on improving mathematics education. This article reports on specific content shifts related to the geometry domain in the middle grades (6-8)…
Computer technology in mathematics education enabled the students find many opportunities for investigating mathematical relationships, hypothesizing, and making generalizations. These opportunities were provided to pre-service teachers through a faculty course. At the end of the course, the teachers were assigned project tasks involving…
Zeytun, Aysel Sen; Cetinkaya, Bulent; Erbas, Ayhan Kursat
This paper investigates how prospective teachers develop mathematical models while they engage in modeling tasks. The study was conducted in an undergraduate elective course aiming to improve prospective teachers' mathematical modeling abilities, while enhancing their pedagogical knowledge for the integrating of modeling tasks into their future…
The aim of this study was to determine the views of mathematics teachers on the factors that affect the integration of technology in mathematic courses. It is a qualitative case study. The sample size of the study is 10 teachers who are receiving postgraduate education in a university in Turkey. The current study was conducted in three stages. At…
Preparing to become an effective primary school mathematics teacher is a challenging and complex task; and is influenced by one's past experiences, personal knowledge of, and beliefs and attitudes towards mathematics. This paper examines the experiences of a small group of pre-service teachers who did not pass their first year mathematics…
With the advent of the Minimum Requirements for Teacher Education Qualifications policy (MRTEQ), higher education institutions (HEIs) are rethinking curricula for teacher training in order to enable entree for in-service teachers to reskill, retrain and have access to higher qualifications. In the field of mathematical literacy ...
Caddle, Mary C.; Bautista, Alfredo; Brizuela, Bárbara M.; Sharpe, Sheree T.
While there is widespread agreement that one-size-fits-all professional development (PD) initiatives have limited potential to foster teacher learning, much existing PD is still designed without attention to teachers' motivations and needs. This paper shows that the strengths and weaknesses of middle school mathematics teachers that engage in PD…
Whetstone, Patti; Clark, Amy; Flake, Mari Wheeler
This study explores elementary teacher perceptions related to the implementation of an online tutoring program. Teachers were surveyed regarding factors that affected use of the online tutoring program as a supplement to mathematics instruction. Results indicated that teachers overwhelmingly reported positive views of the training and support…
Aran, Özge Can; Derman, Ipek; Yagci, Esed
This study aims to investigate pre-service teachers' opinions about the technology. In this respect, the opinions of pre-service science and mathematics teachers were taken. The study was carried out at a university, located in the capital of Turkey. The data were collected from 20 pre-service teachers in the department of secondary school science…
Evans, Brian R.
It is important for teacher educators to understand new alternative certification middle and high school teachers' mathematical problem solving abilities and perceptions. Teachers in an alternative certification program in New York were enrolled in a proof-based algebra course. At the beginning and end of a semester participants were given a…
Stohlmann, Micah; Moore, Tamara; Cramer, Kathleen; Maiorca, Cathrine
Studies have reported that pre-service teachers often enter teacher preparation programs with beliefs and attitudes not conducive to teaching the subject conceptually. In the USA, the Common Core State Standards for Mathematics have brought a renewed focus on procedural and conceptual understanding. However, many U.S. pre-service teachers have…
Fisher, Molly H.; Royster, David
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.
Ren, Lixin; Green, Jennifer L.; Smith, Wendy M.
The Fennema-Sherman Mathematics Attitude Scales (FSMAS) are among the most popular instruments used in studies of attitudes toward mathematics. However, the FSMAS has been mainly used among student populations and rarely used with teachers. In the present study, three scales from the FSMAS— Confidence, Effectance Motivation, and Anxiety—were revised and used with lower-primary (kindergarten to third grade) teachers. This study includes three parts: (1) a pilot study to ensure the modifications made to the FSMAS were appropriate to use with teachers, (2) confirmatory factor analyses to assess the factor structure of the revised FSMAS with 225 lower-primary teachers, and (3) measurement invariance analyses using data from a similar sample of 171 lower-primary teachers to examine whether the revised FSMAS measures each construct in the same way as in the previous sample. The final three-factor model, after removing three problematic items, achieves acceptable model fit, with each construct meeting all conditions for strict measurement invariance. Additionally, repeated measures analyses were performed on data collected from 39 in-service lower-primary teachers who participated in an elementary mathematics specialist program to examine the use of the revised FSMAS in program evaluation. Overall results suggest that researchers and program evaluators may use the revised FSMAS to reliably measure lower-primary teachers' mathematical attitudes, and it can be a valuable tool for evaluating the effectiveness of professional development programs.
Full Text Available In South Africa’s reception classes (Grade R, the harsh reality is that the sector is beset by serious challenges. As part of a broader professional development study, this article focuses on the actual operations of Grade R educators as they conduct mathematics lessons using video technology to record their teaching. An observation tool adapted from Clements and Sarama is used to determine the quality of mathematics instruction, and to provide recommendations for bridging the gaps observed. Fourteen Grade R classes were video-recorded as part of the bigger project, with the educators themselves selecting three lessons per class to showcase their practices. For this article, the authors employed a qualitative approach guided by Vygotsky’s conceptual development of knowledge theory. A thematic analysis was conducted, mediated by the lesson observation instrument. The findings indicate that Grade R educators lack structure and purpose in their instructional activities. Even when sound content knowledge is demonstrated, the instruction tends to be teacher-centred.
Su Ting Yong; Peter Gates; Ian Harrison
The purpose of this study was to explore the potential use of digital games in learning mathematics at secondary school level in Malaysia. Three secondary school students, three mathematics teachers and three parents were interviewed in this study. All the participants were asked for their views and experiences in mathematics, technology usage and the use of digital games in learning mathematics. The results suggested that students were supportive and positive towards the use of computer game...
Lowrie, Tom; Jorgensen, Robyn
This investigation explored pre-service teachers' mathematics content knowledge (MCK) and beliefs associated with mathematics education practices. An Exploratory Factor Analysis, conducted on a beliefs and attitudes questionnaire, produced three common attitude factors associated with (1) inquiry-based teaching; (2) how mathematics knowledge is…
Cheng, Qiang; Hsu, Hsien-Yuan
Using Trends in International Mathematics and Science Study (TIMSS) 2011 eighth-grade international dataset, this study explored the profiles of instructional practices reported by high- and low-performing mathematics teachers across the US, Finland, Korea, and Russia. Concepts of conceptual teaching and procedural teaching were used to frame the design of the current study. Latent cluster analysis was applied in the investigation of the profiles of mathematics teachers’ instructional practic...
Antonijević Radovan M.
Full Text Available This paper considers the main results and some educational implications of the TIMSS 2003 assessment conducted in Serbia, in the fields of mathematics achievement of Serbian eighth grade students and the mathematics curriculum context of their achievement. It was confirmed that Serbian eighth graders have made average scale score of 477 points, and with this achievement they are placed in the zone of intermediate international benchmarking level. The average mathematics achievement of the Serbian eighth graders is somewhat above the average international mathematics achievement. The best result was achieved in the content domain of "algebra", and the lower result in the content domains of "measurement" and "data". In the defined cognitive domains the Serbian students have achieved the best results in "solving routine problems" and "knowing facts and procedures", and the weaker result in "reasoning". Statistically significant difference was found in the mathematics achievement between girls and boys in the Serbian TIMSS 2003 sample, so the girls’ average scale score was 480 points and the same value for the boys was 473 points. The achieved results raise many questions about the contents of mathematics curriculum in Serbia, its quality and basic characteristics of its implementation. These results can be eligibly used to improve the mathematics curriculum and teaching in Serbian primary school.
Pepin, B.; Gueudet, G.; Trouche, L.
The goal of this conceptual paper is to develop enhanced understandings of mathematics teacher design and design capacity when interacting with digital curriculum resources. We argue that digital resources in particular offer incentives and increasing opportunities for mathematics teachers’ design,
Skott, Charlotte Krog; Østergaard, Camilla Hellsten
. We use a theoretical framework for classroom mathematical practices to conceptualise teachers´ learning from a participatory perspective. On the one hand, the teacher realises a potential for a more dialogical approach to teaching. On the other hand, she appears to maintain her habits in relation......We investigate an ICT-competent mathematics teacher’s potentials for professional development as she participates in a sixth-grade statistics project aimed at developing practices that integrate ICTs. This is a critical case study, partly because the teacher is not challenged by the proposed ICTs...... to ICT-use. These contrary tendencies negatively influence the students’ learning opportunities. We offer explanations for why the teacher seems to sticks with her ICT-habits as well as suggestions for future research- and development projects....
Full Text Available In the process of learning in the field, the teacher still dominates the conversation while the students as a passive listener. As a result, not only the communication skills of students who are less developed, the understanding of student material is also lacking. Therefore it is necessary to research the ability of teachers in developing learning tools potentially mathematical discourse to improve students' mathematical communication skills. The research method used is descriptive. Research activities include: identification of problems through questionnaires, observation, and interviews; teacher training; teachers develop learning tools; validation; and enhancement of the device by the teacher. The subject of this research is the junior high school mathematics teacher from several districts in the border area of Sambas-Sarawak Regency. The results show that in every learning mathematics there is always a conversation between teachers and students, but rarely use the question "why" and "how". Most teacher-made lesson plans contain scenarios of conversations between teachers and students, but just plain questioning, have not led to a debate between each other so that understanding becomes deeper. Student worksheet made by the teacher in the form of a matter of the ordinary story, rarely load non-routine problem let alone open-ended.
Lein, Amy E.; Jitendra, Asha K.; Starosta, Kristin M.; Dupuis, Danielle N.; Hughes-Reid, Cheyenne L.; Star, Jon R.
In this study, the authors assessed the contribution of engagement (on-task behavior) to the mathematics problem-solving performance of seventh-grade students after accounting for prior mathematics achievement. A subsample of seventh-grade students in four mathematics classrooms (one high-, two average-, and one low-achieving) from a larger…
Martin County Schools, Jensen Beach, FL. Environmental Studies Center.
This teacher's guide, one of nine teacher packages developed for use in the sequential, hands-on, field-oriented, K-8 environmental education program of the Martin County Schools in Florida, was developed for use with elementary children in grade four prior to and after a visit to an environmental studies center located near an estuarine area. The…
Aunola, Kaisa; Leskinen, Esko; Nurmi, Jari-Erik
It has been suggested that children's learning motivation and interest in a particular subject play an important role in their school performance, particularly in mathematics. However, few cross-lagged longitudinal studies have been carried out to investigate the prospective relationships between academic achievement and task motivation. Moreover, the role that the classroom context plays in this development is largely unknown. The aim of the study was to investigate the developmental dynamics of maths-related motivation and mathematical performance during children's transition to primary school. The role of teachers' pedagogical goals and classroom characteristics on this development was also investigated. A total of 196 Finnish children were examined four times: (0) in October during their preschool year; (1) in October and (2) April during their first grade of primary school; and (3) in October during their second grade. Children's mathematical performance was tested at each measurement point. Task motivation was examined at measurement points 2, 3, and 4 using the Task-value scale for children. First-grade teachers were interviewed in November about their pedagogical goals and classroom characteristics. The results showed that children's mathematical performance and related task motivation formed a cumulative developmental cycle: a high level of maths performance at the beginning of the first grade increased subsequent task motivation towards mathematics, which further predicted a high level of maths performance at the beginning of the second grade. The level of maths-related task motivation increased in those classrooms where the teachers emphasized motivation or self-concept development as their most important pedagogical goal.
Moore, Alex M; Ashcraft, Mark H
Children in elementary school, along with college adults, were tested on a battery of basic mathematical tasks, including digit naming, number comparison, dot enumeration, and simple addition or subtraction. Beyond cataloguing performance to these standard tasks in Grades 1 to 5, we also examined relationships among the tasks, including previously reported results on a number line estimation task. Accuracy and latency improved across grades for all tasks, and classic interaction patterns were found, for example, a speed-up of subitizing and counting, increasingly shallow slopes in number comparison, and progressive speeding of responses especially to larger addition and subtraction problems. Surprisingly, digit naming was faster than subitizing at all ages, arguing against a pre-attentive processing explanation for subitizing. Estimation accuracy and speed were strong predictors of children's addition and subtraction performance. Children who gave exponential responses on the number line estimation task were slower at counting in the dot enumeration task and had longer latencies on addition and subtraction problems. The results provided further support for the importance of estimation as an indicator of children's current and future mathematical expertise. Copyright © 2015 Elsevier Inc. All rights reserved.
Buchheister, Kelley; Jackson, Christa; Taylor, Cynthia E.
Traditionally, teacher education programs have placed little emphasis on preparing mathematics teachers to work with students who struggle in mathematics. Therefore, it is crucial that mathematics teacher educators explicitly prepare prospective teachers to instruct students who struggle with mathematics by providing strategies and practices that…
Powell, Sarah R.; Driver, Melissa K.
Researchers and practitioners indicate students require explicit instruction on mathematics vocabulary terms, yet no study has examined the effects of an embedded vocabulary component within mathematics tutoring for early elementary students. First-grade students with mathematics difficulty (MD; n = 98) were randomly assigned to addition tutoring…
first year teacher training mathematics syllabus were not taught by the end of the year and which ones .... training college in Kommenda, Central Region as a pilot study. The responses ..... calls for efforts to give more attention to these groups.
Keywords: internet; mathematics education; online; quality material; resources; teachers' perceptions; ... technology related to administration and processes .... According to the UTAUT model, .... Social Sciences (SPSS), software version 22.0.
Department of Science, Mathematics and Technology Education, Faculty of ... This article reports on the first phase of a broader project that focuses on ..... Figure 3 Percentage of teachers who have access to a computer and internet at home ...
“Subject knowledge” is increasingly being seen as a critical component of effective teaching yet very often (and particularly for secondary teachers) this subject knowledge is taken for granted. The study of mathematics is a required component of the initial education of teachers who will specialise in teaching mathematics, either as a prerequisite in the case of the one-year PGCE or as an integral part of the B.Ed. degree. What becomes of the study of mathematics for these teachers after tha...
Svennberg, Lena; Meckbach, Jane; Redelius, Karin
Research shows that teachers' grading is influenced by non-achievement factors in addition to official criteria, such as knowledge and skills. Some grading criteria are internalised by the teacher, who is sometimes unable to verbalise the criteria used and refers to what is called a "gut feeling". Therefore, transparency, validity and…
High quality instruction is necessary for students of all ages to develop a deep understanding of mathematics. Value-added models, a common approach used to describe teachers and classroom practices, are defined by the student standardized achievement gains teachers elicit. They may, however, fail to account for the complexity of mathematics instruction as it actually occurs in the classroom. To truly understand both a teacher’s impact on his/her students and how best to improve student learn...
El National Council of Teachers of Mathematics (NCTM) es, probablemente, la mayor asociación de profesores de matemáticas de todo el mundo, con más de 100.000 asociados, que pertenecen mayoritariamente a los Estados Unidos y Canadá, aunque también están afiliados numerosos profesores e investigadores de todo el mundo. Como otras asociaciones de profesores de matemáticas su propósito es tener una perspectiva de lo que se debe hacer en la educación matemática y conseguir la capacidad de lideraz...
Garner, Mary L.; Watson, Virginia; Rogers, Beth; Head, Catherine
Math teachers' circles are a form of professional development that is recommended by the Conference Board of the Mathematical Sciences in their publication Mathematical Education of Teachers II (2012). However, little research has been published on how effective math teachers' circles are in advancing the mathematical knowledge of teachers and…
Young, Jemimah L.; Young, Jamaal Rashad; Capraro, Mary Margaret
The middle grades mathematics classroom is full of transitions that students must overcome to become successful long-term learners of mathematics. This transition can be exorbitantly more tumultuous for Black girls who must overcome gender and racial mathematics achievement stereotypes. Mathematics identities and achievement socialization trends…
The findings presented in this article were derived from a 3-year study aimed at examining issues associated with the use of computers for secondary mathematics learning in Victorian (Australia) schools. Gender and other equity factors were of particular interest. In this article, the focus is on the participating mathematics teachers. Data on…
Puncreobutr, Vichian; Rattanatumma, Tawachai
The objective of this study was to identify the reasons for shortage of Mathematics teachers at Thai Basic Education level. This research is both quantitative and qualitative in nature. For the purpose of study, survey was conducted with senior high school students, in order to find out their willingness to pursue mathematics in Bachelor of…
The aim of this study was to explore the degree to which a professional development (PD) program designed using GeoGebra influences a group of Turkish middle school teachers' beliefs in relation to mathematics and role of GeoGebra in mathematics education. In order to collect the required data, the PD course was established to provide six teachers…
Dotger, Benjamin; Masingila, Joanna; Bearkland, Mary; Dotger, Sharon
Field placements serve as the traditional "clinical" experience for prospective mathematics teachers to immerse themselves in the mathematical challenges of students. This article reports data from a different type of learning experience, that of a clinical simulation with a standardized individual. We begin with a brief background on…
Nillas, Leah A.
Qualitative research methods were employed to investigate characterization of preservice teachers' mathematical understanding. Responses on test items involving algebraic relationships were analyzed using with-in case analysis (Miles and Huberman, 1994) and Pirie and Kieren's (1994) model of growth of mathematical understanding. Five elementary…
Herbert, Sandra; Widjaja, Wanty; Bragg, Leicha A.; Loong, Esther; Vale, Colleen
Reasoning is an important aspect in the understanding and learning of mathematics. This paper reports on a case study presenting one Australian primary teacher's reflections regarding the role played by a professional learning program in her developing understanding of mathematical reasoning. Examination of the transcripts of two interviews…
Pijls, M.; Dekker, R.
This article adds to current research on enhancing student discourse in mathematics teaching specifically in secondary schools but with equal relevance to elementary schools. Three mathematics teachers in secondary education were confronted with the question of how to encourage students to discuss
Sturdivant, Rodney X.; Dunham, Penelope; Jardine, Richard
This article describes key elements for faculty development programs to prepare mathematics teachers for technology-rich environments. We offer practical examples from our experiences in teaching mathematics with technology and in teaching others to incorporate technology-based pedagogies. We address challenges faced by faculty using technology,…
Dunn, Peter K.; Marshman, Margaret; McDougall, Robert; Wiegand, Aaron
The new "Australian Senior Secondary Curriculum: Mathematics" contains more statistics than the existing Australian Curricula. This case study examines how a group of Queensland mathematics teachers define the word "statistics" and five statistical terms from the new curricula. These definitions are compared to those used in…
Buket Turhan Turkkan
Full Text Available The purpose of this study is to examine the opinions of middle school mathematics teachers on the integration of mathematics course and social issues. For this purpose, qualitative research method was used in this study. As for determining the participants of the research, criterion sampling among purposeful sampling methods was used. Being a middle school mathematics teacher as an occupation was considered as a criterion for determining the participants. The participants of the research consist of 13 middle school mathematics teachers in Turkey. So as to collect the research data, the semi-structured interview form created by the researchers was used. The data analysis was performed according to the content analysis, and Nvivo 10 program was used for the analysis. As a result of this study, the themes of the situation and methods of the integration of mathematics course and social issues, the attainment of democratic values in mathematics course and the ways of its attainment, gaining awareness of social justice and equality in mathematics course and the ways of its gaining, the activities performed by teachers for social issues in mathematics course and the teachers’ suggestions for the integration of mathematics course and social issues were reached and the results were discussed within this frame.
Full Text Available This paper presents the findings that are parts of a larger international project studying the achievements in mathematics and science for students in primary and lower secondary education. Specifically, we focused on the study of differences in mathematics achievement for Serbian and Slovenian fourth-graders. The study used a sample of 7,861 fourth-grade students from Serbia (N = 3,736 and Slovenia (N = 4,125. The results showed that Serbian students had higher overall achievement and scored higher in both the number content and the knowing cognitive domains, whereas Slovenian students scored higher on the geometry content and the data content domains, also having a higher balance among achievements for both content and cognitive domains. It was also found that Slovenian students had higher self-confidence in learning mathematics. Because there were no other significant differences between Serbia and Slovenia with respect to two other contextual variables and the correlations among these three contextual variables, the explanations of the achievement differences were based upon the consideration of various aspects of curriculum, teaching practice, and teachers' professional development in Serbia and Slovenia. The paper raises the question of educational implications of these findings and the possible directions of improving the quality of mathematics teaching.
Corica, Ana Rosa; Otero, María Rita
We present partial results of the design and implementation of a study program for the Mathematics Teacher Training. The research is developed in the light of the Anthropological Theory of the Didactic. This paper we analyze what gestures of the research and world questioning pedagogy are identified in a group of future teachers that study an…
As'ari, Abdur Rahman; Mahmudi, Ali; Nuerlaelah, Elah
In order to help students develop their critical thinking skills, teachers need to model the critical thinking skills and dispositions in front of their students. Unfortunately, very rare studies investigating prospective teachers' readiness in critical thinking dispositions are available in the field of mathematics education. This study was…
Akkoç, Hatice; Yesildere-Imre, Sibel
Teachers' pedagogical practice and choices for their actions could not only be explained by their knowledge, beliefs or attitudes (Rodgers & Scott, 2008). Identity also has a crucial role in learning to teach. The aim of this study is to investigate contextual nature of preservice mathematics teachers' professional identities. For this aim, a…
This study examined the nature and existing methods of teacher appraisal in Ghana. 441 secondary mathematics teachers participated, of whom 193 teach the subject at the junior secondary level and 248 teach it at the senior secondary level. In addition, 44 Ghana Education Service Officials and 6 Heads of secondary ...
Cady, Jo Ann; Rearden, Kristin
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…
The study has sought answers to two major questions: What is the current situation in Elementary Mathematics Education programs at Faculty of Education in terms of classroom teaching competencies? To what extent do pre service teachers acquire these competencies? The research was conducted on 202 senior pre service teachers studying at the…
The study has revealed that the use of a comprehensive, school-based programme, emphasising peer collaboration, can be a promising scenario for professional development of mathematics teachers in Tanzania. Such a comprehensive approach has the potential of supporting teachers with diverse levels of
Martin, Christie; Polly, Drew; Mraz, Maryann; Algozzine, Robert
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…
Ng, Lay Keow; Dindyal, Jaguthsing
As part of a study examining how teachers in Singapore select and use examples for teaching mathematics, 121 teachers from 24 secondary schools responded to three open-ended questions about the use of examples in teaching. The results show that students' abilities and the difficulty level of the examples were among the topmost considerations…
Field, Sherry L.; Bellows, Elizabeth
This study focuses on elementary school teachers during the Great Depression and the role that they played to sustain everyday school activity. The authors draw evidence primarily from the pages of "Grade Teacher" magazine, through teachers' letters written to its editor, Florence Hale, and her responses to them. Opportunities to study…
Crisan, C.; Rodd, M.
In order to address the shortage of mathematics teachers in England, the UK government has funded various in-service subject knowledge courses for practising teachers, who are not mathematics specialists. These courses aim to develop these teachers’ mathematical subject knowledge (e.g., DfE 2014). In this TAS session we will report on a research project which was set up to investigate how teachers on the in-service programmes offered by our institution developed as teachers of mathematics. We...
Yow, Jan A.; Eli, Jennifer A.; Beisiegel, Mary; McCloskey, Andrea; Welder, Rachael M.
Sixty-nine recently graduated doctoral students in mathematics education completed a survey to determine their perceptions of transitioning from a doctoral program into an academic position at an institution of higher education. Research literature for novice mathematics school teachers was also reviewed to document their experiences transitioning…
Jalal, Azlin Abd; Ayub, Ahmad Fauzi Mohd; Tarmizi, Rohani Ahmad
The integration and effectiveness of eBook utilization in Mathematics teaching and learning greatly relied upon the teachers, hence the need to understand their perceptions and beliefs. The eBook, an individual laptop completed with digitized textbook sofwares, were provided for each students in line with the concept of 1 student:1 laptop. This study focuses on predicting a model on the acceptance of the eBook among Mathematics teachers. Data was collected from 304 mathematics teachers in selected schools using a survey questionnaire. The selection were based on the proportionate stratified sampling. Structural Equation Modeling (SEM) were employed where the model was tested and evaluated and was found to have a good fit. The variance explained for the teachers' attitude towards eBook is approximately 69.1% where perceived usefulness appeared to be a stronger determinant compared to perceived ease of use. This study concluded that the attitude of mathematics teachers towards eBook depends largely on the perception of how useful the eBook is on improving their teaching performance, implying that teachers should be kept updated with the latest mathematical application and sofwares to use with the eBook to ensure positive attitude towards using it in class.
Klibanoff, Raquel S; Levine, Susan C; Huttenlocher, Janellen; Vasilyeva, Marina; Hedges, Larry V
This study examined the relation between the amount of mathematical input in the speech of preschool or day-care teachers and the growth of children's conventional mathematical knowledge over the school year. Three main findings emerged. First, there were marked individual differences in children's conventional mathematical knowledge by 4 years of age that were associated with socioeconomic status. Second, there were dramatic differences in the amount of math-related talk teachers provided. Third, and most important, the amount of teachers' math-related talk was significantly related to the growth of preschoolers' conventional mathematical knowledge over the school year but was unrelated to their math knowledge at the start of the school year. Copyright 2006 APA, all rights reserved.
Saran, Rupam; Gujarati, Joan
This article explores how preservice elementary teachers change their negative beliefs toward mathematics into positive ones after taking a mathematics methods course that follows the Concrete-Pictorial-Abstract (CPA) instructional method. Also explored is the relationship between those beliefs and sociomathematical authority. By administering…
Samah, Mas Norbany binti Abu; Tajudin, Nor'ain binti Mohd
Formative assessment of school-based assessment (SBA) is implemented in schools as a move to improve the National Education Assessment System (NEAS). Formative assessment focuses on assessment for learning. There are various types of formative assessment instruments used by teachers of mathematics, namely the form of observation, questioning protocols, worksheets and quizzes. This study aims to help teachers improve skills in formative assessments during the teaching and learning (t&l) Mathematics. One mathematics teacher had been chosen as the study participants. The collecting data using document analysis, observation and interviews. Data were analyzed narrative and assessments can help teachers implement PBS. Formative assessment is conducted to improve the skills of students in t&l effectively.
The aim of this study is to identify prospective secondary mathematics teachers' opinions about the mathematical modeling method and the applicability of this method in high schools. The case study design, which is among the qualitative research methods, was used in the study. The study was conducted with six prospective secondary mathematics…
Nicely, Robert F., Jr., Ed.; Sigmund, Thomas F., Ed.
One of the strengths of the Pennsylvania Council of Teachers of Mathematics (PCTM) is that it gives mathematicians and mathematics educators the opportunity to exchange and contribute to each other's professional growth. The topic for each yearbook is chosen to coincide with the annual PCTM meeting. This 1988 yearbook contains 27 articles which…
Nicely, Robert F., Jr., Ed.; Sigmund, Thomas F., Ed.
One of the strengths of the Pennsylvania Council of Teachers of Mathematics (PCTM) is that it gives mathematicians and mathematics educators the opportunity to exchange and contribute to each other's professional growth. The topic for each yearbook is chosen to coincide with the annual PCTM meeting. This 1987 yearbook contains 14 articles which…
Turhan Turkkan, Buket; Karakus, Memet
The purpose of this study is to examine the opinions of middle school mathematics teachers on the integration of mathematics course and social issues. For this purpose, qualitative research method was used in this study. As for determining the participants of the research, criterion sampling among purposeful sampling methods was used. Being a…
Loong, Esther Yook-Kin; Vale, Colleen; Bragg, Leicha A.; Herbert, Sandra
Little is known about how Australian teachers interpret, enact and assess reasoning. This paper reports on primary teachers' perceptions of reasoning prior to observation and subsequent trialling of demonstration lessons in a primary school. The findings indicate that while some teachers were able to articulate what reasoning means, others were…
Marshall, Anne Marie
Increasingly, elementary classroom teachers are being called to teach a myriad of subjects, including visual art, dance, and music. Preservice teachers must be prepared to teach and integrate multiple subjects. To that end, preservice teachers will need experiences in their preparation that help them to see connections across content areas and…
Mutholib, Ahmad Abdul; Sujadi, Imam; Subanti, Sri
SA is the approach used for the exploration of research and answer questions. Teachers' beliefs have a greater influence than the teacher's knowledge of designing lesson plans in the classroom. The objectives of this study are to explore the teachers' beliefs in SA, to reveal how the beliefs are reflected in classroom practices; and to figure out the factors affecting their beliefs and practices of SA to the teaching of mathematics. This qualitative research applied case study. The data was gained from classroom observation, face-to-face interview, and documentation. Interactive models from Miles and Huberman were used to examine the data. Results of the study: 1) The teachers believe about the conception of SA. They also believe that the SA is important and gives impact to students' progress. They believe that by applying SA, the target of mathematics learning is acquired. As to learning procedure, they believe that SA steps are conducted in sequence by combining some steps for each. 2) Teachers formulate their beliefs of applying the five scientific step of integrating all steps by keeping the sequence. Teachers argue that target of mathematics learning can be attained by some ways, namely presence of theoretical and practical support, teachers' guidance, providing variety of media and motivation to students. 3) There are five factors which influence teachers' beliefs and practices of SA, namely learning and teaching experience, teachers' motivation, sharing with colleagues and facility. This study concludes that teachers believe in the importance of SA, therefore they implement it in the classroom.
Full Text Available Using Trends in International Mathematics and Science Study (TIMSS 2011 eighth-grade international dataset, this study explored the profiles of instructional practices reported by high- and low-performing mathematics teachers across the US, Finland, Korea, and Russia. Concepts of conceptual teaching and procedural teaching were used to frame the design of the current study. Latent cluster analysis was applied in the investigation of the profiles of mathematics teachers’ instructional practices across the four education systems. It was found that all mathematics teachers in the high- and low-performing groups used procedurally as well as conceptually oriented practices in their teaching. However, one group of high-performing mathematics teachers from the U.S. sample and all the high-performing teachers from Finland, Korea, and Russia showed more frequent use of conceptually oriented practices than their corresponding low-performing teachers. Another group of U.S. high-performing mathematics teachers showed a distinctive procedurally oriented pattern, which presented a rather different picture. Such results provide useful suggestions for practitioners and policy makers in their effort to improve mathematics teaching and learning in the US and in other countries as well.DOI: http://dx.doi.org/10.22342/jme.8.2.4066.115-132
Cavanagh, Michael; Prescott, Anne
The authors have been conducting research with early career secondary mathematics teachers in metropolitan Sydney, focusing particularly on the professional experiences of student teachers. As part of the research, 12 supervising teachers were visited at their schools. Seven of them were interviewed individually about their role in developing the…
Evans, Brian R.
Providing students in urban settings with quality teachers is important for student achievement. This study examined the differences in content knowledge, attitudes toward mathematics, and teacher efficacy among several different types of alternatively certified teachers in a sample from the New York City Teaching Fellows program in order to…
Novice teachers often have difficulty transferring what they learn in teacher education programs to classroom practice. This is especially true for elementary school teachers who are expected to teach mathematics with reform-oriented methods. The purpose of this longitudinal case study was to examine the experience of one novice elementary school…
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.
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
Smith, Ryan C.; Shin, Dongjo; Kim, Somin
As technology becomes more ubiquitous in the mathematics classroom, teachers are being asked to incorporate it into their lessons more than ever before. The amount of resources available online is staggering and teachers need to be able to analyse and identify resources that would be most appropriate and effective with their students. This study…
Maria José de Freitas Mendes
Full Text Available This paper brings some reflections about the formation of the math teacher that made part of my marsters paper and that aimed to investigate the process of formation of the math teacher. The focus of this study incided at the contributions of teaching practice in the teacher's formation above the new paradigms of formation, as a professional development and as a reflexive teacher. These reflections, from the learning and teaching process and from the meaning of form a teacher analyse the crisis and the restructuration of the teacher's formation and conclude being necessary that in the graduation courses there's a character more practice to the pedagogical formation, making possible for the future teacher to develop attitudes of autonomy, reflexion and investigation
Tasdan, Berna Tataroglu; Koyunkaya, Melike Yigit
Teaching of mathematics could be improved with teachers who have a strong mathematical knowledge and have an ability to reflect this knowledge on their teaching. Therefore, it is important to develop mathematics teachers' theoretical and pedagogical knowledge. This study was designed to examine pre-service secondary mathematics teachers' (PSMT)…
Latterell, Carmen M.; Wilson, Janelle L.
Preservice elementary teachers hold a variety of beliefs about mathematics and mathematics learning, which influence their teaching. Previous research has shown that preservice elementary teachers believe that mathematics is doing arithmetic. However, it is unclear if preservice elementary teachers truly believe that mathematics is only…
Full Text Available This study investigated the opportunity to learn (OTL that is available to Grade 12 mathematics learners. Learner workbooks were analysed in terms of time on task, curriculum coverage, curriculum coherence, and cognitive demand. Based on these elements, experienced mathematics teachers judged the opportunity that the learners have to achieve more than 60% for each topic. According to the workbooks, the average number of active learning days in this sample was 54.1 days per annum. This resulted in limited curriculum coverage in almost all sections in 16 of the 18 under-performing schools. In these schools, learners spent most of their time practising routine procedures. The high correlation of 0.95 (p < 0.001 between the experts'prediction about the opportunity to learn in the different schools (based on the learner workbooks and learners' actual performance in the Grade 12 exam shows that the number, the coverage, the cognitive level, and the coherence of activities play a major role in understanding learner performance.
Chan, Kan Kan
Even though dynamic geometry software (DGS) is becoming an emergent instructional tool for mathematics teachers, many teachers are still in the process of consideration about whether to use it. In order to encourage teachers to use DGS, this study seeks to discover mathematics teachers' salient beliefs about the use of DGS in mathematics class.…
Mills, Jamie D.; Holloway, Charles E.
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…
Kaleli-Yilmaz, Gül; Hanci, Alper
The aim of this study is to determine how the TIMSS mathematics success of the 8th grade students differentiates according to the school type, gender, mathematics report mark, parents' education level, cognitive domains and cognitive domains by gender. Relational survey method was used in the study. Six-hundred fifty two 8th grade students…
Saxon's primary mathematics series is a "hands-on," success-oriented program which emphasizes manipulatives and mental math. The series addresses the multisensory approach to teaching. Its use enables all children to develop a solid foundation in the language and basic concepts of mathematics. Concepts are presented in carefully…
Kulhanek, Stefani Michelle
An understanding of whole number place value is a critical component of second-grade mathematics. This understanding of place value provides the foundational concept for operations with whole numbers. The ability to understand the concept of place value and transfer that understanding to teaching addition and subtraction are often problems…
Epperson, James A. Mendoza; Rhoads, Kathryn
Many mathematics teacher educators encounter the challenge of creating or choosing mathematical tasks that evoke important mathematical insights and connections yet remain firmly grounded in school mathematics. This challenge increases substantially when trying to meet the needs of practicing secondary mathematics teachers pursuing graduate work…
Magano, Florence Lesedi
For an education system to function effectively it is important that its planning functions are executed effectively and efficiently. Among others this implies that the system must know what the teacher supply and demand is and how it will change in time. If the teacher supply and demand is known it could result in sound intervention strategies being developed and implemented. Education planners will be able to plan for the number of bursaries to be awarded and in which subject fields; it will be known how many foreign teachers to employ and for which subjects. This is the basic rationale that underpins this study. This study explored the problem of teacher demand and supply in the Further Education and Training (FET) phase (Grades 10 to 12) in South Africa and offers a critical analysis of strategies adopted by Provincial Education Departments in an endeavour to diminish the demand for teachers, specifically for Mathematics and Science, in rural and poor schools. Initially the study involved a secondary data analysis to extrapolate the demand and supply of teachers in Mathematics and Science over the next ten years. The first key finding of the study was that the data needed for such an analysis does not exist in any reliable form that would facilitate the development of such a projection. What the study had to rely on was anecdotal evidence that suggests that a shortage of Mathematics and Science teachers does exist and that posts are often filled by unqualified and under-qualified staff. In the second phase of the research in which the study explored the effectiveness of strategies developed to address the shortage of Mathematics and Science teachers, a qualitative research approach was adopted within a descriptive interpretive design. The views and opinions of human resource managers responsible for post provisioning in schools were explored through in-depth interviews to understand the types of strategy adopted by the provinces, their potential to alleviate
Umami, Rohmatul; Budayasa, I. Ketut; Suwarsono, St.
This study aimed to see a teachers mathematical communication profile in explaining a subject matter. It is a qualitative research. A high-school junior teacher (i.e., a teacher with 1- to 5-year experience) teaching mathematics at X-Social Class was selected as the subject of this study. The data was collected by observing the teachers mathematical communication in explaining a given material (i.e., the rule of sine) in class and an in-depth interview would be organized respectively. The result showed that the junior teacher explained the subject matter in systematic, complete, fluent, and centered manner. In this case, she began with reminding students on the previous material related to the current material to be learned, informing the current learning objectives, and finally delivering the subject matter. To support her explanation, the teacher also provided some related information, led the students attention into the given material by asking them particular related questions, and did not use any confusing terms. However, the study found that some of high-school teachers still used less appropriate language in explaining materials.
Carroll, William M.
Reports on the results of the reform curriculum of the University of Chicago School Mathematics Project's elementary curriculum, Everyday Mathematics, for third-grade students. Results included the fact that only 2% of UCSMP students failed to meet state goals. UCSMP students also scored well in all mathematical areas including number skills and…
Full Text Available Error analysis is the study of errors in learners’ work with a view to looking for possible explanations for these errors. It is a multifaceted activity involving analysis of correct, partially correct and incorrect processes and thinking about possible remediating strategies. This paper reports on such an analysis of learner tests. The tests were administered as part of the evaluation of an intervention project that aimed to teach mathematical problem solving skills to grade 1-4 learners. Quantitative error analysis was carried out using a coding sheet for each grade. A reliability coefficient was found for each test, as were item means and discrimination indexes for each item. The analysis provided some insight into the more common procedural and conceptual errors evidenced in the learners’ scripts. Findings showed similar difficulties across intervention and control schools and highlighted particular areas of difficulty. The authors argue that this analysis is an example of large-scale error analysis, but that the analysis method could be adopted by teachers of grades 1-4.
Su Ting Yong
Full Text Available The purpose of this study was to explore the potential use of digital games in learning mathematics at secondary school level in Malaysia. Three secondary school students, three mathematics teachers and three parents were interviewed in this study. All the participants were asked for their views and experiences in mathematics, technology usage and the use of digital games in learning mathematics. The results suggested that students were supportive and positive towards the use of computer games in learning mathematics. Nevertheless, parents preferred conventional teaching approach, in which they recognized personal communication and socialization as a significant component in learning. Although the teachers did not go on to oppose the idea of using computer games for teaching mathematics, they still perceived the use of discursive approaches as the best teaching approach for learning mathematics with digital technologies at best a possible additional complementary feature. In view of that, the combination of classroom teaching and computer games might the best mathematics pedagogy.
Sagirli, Meryem Özturan
The aim of the present study is to investigate pre-service secondary mathematics teachers' cognitive-metacognitive behaviours during the mathematical problem-solving process considering class level. The study, in which the case study methodology was employed, was carried out with eight pre-service mathematics teachers, enrolled at a university in…
Evaluation, Dissemination and Assessment Center, Dallas.
This Spanish language teacher's edition of a practical mathematics text for the intermediate grades contains three components which can be structured in different combinations according to different student needs. Built around a review of selected objectives in the mathematics basic curriculum, the material is intended to stimulate interest in…
Evaluation, Dissemination and Assessment Center, Dallas.
This Spanish language teacher's edition of a practical mathematics text for the intermediate grades contains three components which can be structured in different combinations according to different student needs. Built around a review of selected objectives in the mathematics basic curriculum, the material is intended to stimulate interest in…
Evaluation, Dissemination and Assessment Center, Dallas.
This Spanish language teacher's edition of a practical mathematics text for the intermediate grades contains three components which can be structured in different combinations according to different student needs. Built around a review of selected objectives in the mathematics basic curriculum, the material is intended to stimulate interest in…
Stemler, Steven Edward
This study explored school effectiveness in mathematics and science at the fourth grade using data from IEA's Third International Mathematics and Science Study (TIMSS). Fourteen of the 26 countries participating in TIMSS at the fourth grade possessed sufficient between-school variability in mathematics achievement to justify the creation of explanatory models of school effectiveness while 13 countries possessed sufficient between-school variability in science achievement. Exploratory models were developed using variables drawn from student, teacher, and school questionnaires. The variables were chosen to represent the domains of student involvement, instructional methods, classroom organization, school climate, and school structure. Six explanatory models for each subject were analyzed using two-level hierarchical linear modeling (HLM) and were compared to models using only school mean SES as an explanatory variable. The amount of variability in student achievement in mathematics attributable to differences between schools ranged from 16% in Cyprus to 56% in Latvia, while the amount of between-school variance in science achievement ranged from 12% in Korea to 59% in Latvia. In general, about one-quarter of the variability in mathematics and science achievement was found to lie between schools. The research findings revealed that after adjusting for differences in student backgrounds across schools, the most effective schools in mathematics and science had students who reported seeing a positive relationship between hard work, belief in their own abilities, and achievement. In addition, more effective schools had students who reported less frequent use of computers and calculators in the classroom. These relationships were found to be stable across explanatory models, cultural contexts, and subject areas. This study has contributed a unique element to the literature by examining school effectiveness at the fourth grade across two subject areas and across 14
Griffin, Cynthia C.; Xin, Yan Ping; Jitendra, Asha
This article describes the results of a case study evaluating the influence of the intended (textbook) and implemented curricula’s (teachers’ instructional practice) adherence to the National Council of Teachers of Mathematics’ (NCTM) Standards on student outcomes in mathematics. We collected data on 72 third-grade students from four classrooms in one elementary school. Textbook and teacher adherence to the standards were evaluated using content analysis and direct observation procedures, res...
Bernard, Robert M.; Bethel, Edward Clement; Abrami, Philip C.; Wade, C. Anne
This study examines the achievement outcomes accompanying the implementation of a Grade 3 laptop or so-called "ubiquitous computing" program in a Quebec school district. CAT3 reading, language, and mathematics batteries were administered at the end of Grade 2 and again at the end of Grade 3, after the first year of computer…
The Multimedia Case as a Tool for Professional Development: An Analysis of Online and Face-to-Face Interaction among Mathematics Pre-Service Teachers, In-Service Teachers, Mathematicians, and Mathematics Teacher Educators
McGraw, Rebecca; Lynch, Kathleen; Koc, Yusuf; Budak, Ayfer; Brown, Catherine A.
In this study, we consider the potential of multimedia cases as tools for teacher professional development. Specifically, we examined online and face-to-face discussions that occurred within groups composed of pre-service mathematics teachers, in-service mathematics teachers, mathematicians, and mathematics teacher educators. Discussions within…
Díaz, Verónica; Poblete, Alvaro
This paper describes part of a research and development project carried out in public elementary schools. Its objective was to update the mathematical and didactic knowledge of teachers in two consecutive levels in urban and rural public schools of Region de Los Lagos and Region de Los Rios of southern Chile. To that effect, and by means of an advanced training project based on a professional competences model, didactic interventions based on types of problems and types of mathematical competences with analysis of contents and learning assessment were designed. The teachers' competence regarding the didactic strategy used and its results, as well as the students' learning achievements are specified. The project made possible to validate a strategy of lifelong improvement in mathematics, based on the professional competences of teachers and their didactic transposition in the classroom, as an alternative to consolidate learning in areas considered vulnerable in two regions of the country.
Darta; Saputra, J.
Representational and mathematical reasoning ability are very important ability as basic in mathematics learning process. The 2013 curriculum suggests that the use of a scientific approach emphasizes higher order thinking skills. Therefore, a scientific approach is required in mathematics learning to improve ability of representation and mathematical reasoning. The objectives of this research are: (1) to analyze representational and reasoning abilities, (2) to analyze indicators affecting the ability of representation and mathematical reasoning, (3) to analyze scientific approaches that can improve the ability of representation and mathematical reasoning. The subject of this research is the students of mathematics prospective teachers in the first semester at Private Higher Education of Bandung City. The research method of this research was descriptive analysis. The research data were collected using reasoning and representation tests on sixty-one students. Data processing was done by descriptive analysis specified based on the indicators of representation ability and mathematical reasoning that influenced it. The results of this first-year study showed that students still had many weaknesses in reasoning and mathematical representation that were influenced by the ability to understand the indicators of both capabilities. After observing the results of the first-year research, then in the second and third year, the development of teaching materials with a scientific approach in accordance with the needs of prospective students was planned.
Parker, Frieda; Bartell, Tonya Gau; Novak, Jodie D.
Research advances in teaching, learning, curriculum, and assessment have not changed the continued underperformance of marginalized students in mathematics education. Culturally responsive teaching is a means of addressing the needs of these students. It is sometimes challenging, however, to convince secondary mathematics teachers about the…
Fredenberg, Michael Duane
The idea that problems and tasks play a pivotal role in a mathematics lesson has a long standing in mathematics education research. Recent calls for teaching reform appeal for training teachers to better understand how students learn mathematics and to employ students' mathematical thinking as the basis for pedagogy (CCSSM, 2010; NCTM, 2000; NRC 1999). The teaching practices of (a) developing a task for a mathematics lesson and, (b) modifying the task for students while enacting the lesson fit within the scope of supporting students' mathematical thinking. Surprisingly, an extensive search of the literature did not yield any research aimed to identify and refine the constituent parts of the aforementioned teaching practices in the manner called for by Grossman and xiii colleagues (2009). Consequently, my research addresses the two questions: (a) what factors do exemplary elementary teachers consider when developing a task for a mathematics lesson? (b) what factors do they consider when they modify a task for a student when enacting a lesson? I conducted a multiple case study involving three elementary teachers, each with extensive training in the area of Cognitively Guided Instruction (CGI), as well as several years experience teaching mathematics following the principles of CGI (Carpenter et al., 1999). I recorded video of three mathematics lessons with each participant and after each lesson I conducted a semi-structured stimulated recall interview. A subsequent follow-up clinical interview was conducted soon thereafter to further explore the teacher's thoughts (Ginsberg, 1997). In addition, my methodology included interjecting myself at select times during a lesson to ask the teacher to explain her reasoning. Qualitative analysis led to a framework that identified four categories of influencing factors and seven categories of supporting objectives for the development of a task. Subsets of these factors and objectives emerged as particularly relevant when the
Teaching approaches and assessment practices are key factors that contribute to the improvement of learner outcomes. The study on which this article is based, explored the methods used by KwaZulu-Natal (KZN) teachers in teaching and assessing mathematics and statistics. An instrument containing closed and ...
Munoz, Alex Montecino
This chapter seeks, on the one hand, to illustrate the configuration of a mathematics teacher who is always considered to be outdated, and on the other hand, to discuss the circulation of a promise of salvation embodied in the discourses of permanent training. This chapter aims to contribute to t...
Horzum, Tugba; Ertekin, Erhan
The purpose of this study is to analyze what kind of conceptions prospective mathematics teachers (PMTs) have about the base concept (BC). One-hundred and thirty-nine PMTs participated in the study. In this qualitative research, data were obtained through open-ended questions, the semi-structured interviews and pictures of geometric figures drawn…
D'Alu, Maria Jose Miranda de Sousa
This teacher's manual accompanies a mathematics textbook for second graders, written in Portuguese. Developed from objectives set forth by the National Portuguese Materials Development Center, it follows closely the objectives and methodology of major curricula used in schools of the United States. Consideration was given to the Portuguese child's…
Professional identities may be viewed as narrative constructions in social situations but personal experiences and beliefs are fundamental influences in their development. Within Further Education colleges in England, mathematics teachers are typically expected to fulfil multiple roles, teaching a wide range of curricula and age groups, and this…
Danisman, Sahin; Tanisli, Dilek
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…
The study reported in this paper used Guskey's model (Guskey, 2000) to systematically investigate teachers' experiences about the professional development programme on ICT integration in teaching and learning of Science and Mathematics in secondary schools. The study employed survey research design and an ...
Howard, Peter; Perry, Bob
Two key stakeholders in enhancing and building Aboriginal children's capacity to learn mathematics are teachers and the Aboriginal children themselves. In Australian schools it is often the case that the two groups come from different cultural backgrounds with very differing life experiences. This paper reports on an ethnographic study and focuses…
Lin, Kuen-Yi; Williams, P. John
This study applies the theory of planned behavior as a basis for exploring the impact of knowledge, values, subjective norms, perceived behavioral controls, and attitudes on the behavioral intention toward science, technology, engineering, and mathematics (STEM) education among Taiwanese preservice science teachers. Questionnaires (N = 139)…
Harkness, Shelly Sheats; Brass, Amy
Mathematics methods texts are important resources for supporting preservice teachers' learning. Methods instructors routinely assign readings from texts. Yet, anecdotally and also based on reading compliance literature, many students report that they do not read assigned readings. Within this paper we briefly describe the findings from a survey of…
Whereas there has been considerable advancement in the last few decades with regard to theories and practices in mathematics education from a critical perspective, very little is known about what it means to prepare teachers for such approaches. In this article I undertake a retrospective, reflexive analysis of my praxis as ...
Putri, R. O. E.
This study is aimed to investigate the spatial intelligence of mathematics pre-service teachers and find the best instructional strategy that facilitates this aspect. Data were collected from 35 mathematics pre-service teachers. The Purdue Spatial Visualization Test (PSVT) was used to identify the spatial skill of mathematics pre-service teachers. Statistical analysis indicate that more than 50% of the participants possessed spatial skill in intermediate level, whereas the other were in high and low level of spatial skill. The result also shows that there is a positive correlation between spatial skill and mathematics ability, especially in geometrical problem solving. High spatial skill students tend to have better mathematical performance compare to those in two other levels. Furthermore, qualitative analysis reveals that most students have difficulty in manipulating geometrical objects mentally. This problem mostly appears in intermediate and low-level spatial skill students. The observation revealed that 3-D geometrical figures is the best method that can overcome the mentally manipulation problem and develop the spatial visualization. Computer application can also be used to improve students’ spatial skill.
Brown, Michelle Cetner
ICT model can be implemented with pairs of mathematics and science teachers to create a sustainable way to share experience and expertise, and to create powerful interdisciplinary experiences for their students. In addition, there is evidence that participation with the ICT model positively influences teacher beliefs about the nature of mathematics and science, about teaching and learning, and about interdisciplinary connections. These findings seem to hold across grades, school type, and personal experience. Future implementation of the ICT model on a larger scale is recommended to continue to observe the effects on teachers and students.
Wang, Ting-Ying; Tang, Shu-Jyh
This study used the data set from the Teacher Education and Development Study in Mathematics to identify the profiles of opportunities to learn (OTL) regarding topics studied in teacher preparation programs by future secondary mathematics teachers from 15 participating countries. The topics of inquiry covered tertiary-level mathematics,…
Hunt-Ruiz, Heidi; Watson, Scott B.
The purpose of this study was to investigate the impact of an early fieldwork experience on preservice teachers' mathematics efficacy beliefs. This quasi-experimental study included 127 preservice teachers from two community colleges who were enrolled in mathematics for teachers' two-course sequence. The Personal Mathematics Teaching Efficacy…
O'Meara, Niamh; Fitzmaurice, Olivia; Johnson, Patrick
Mathematics teacher educators in the University of Limerick became aware of a lack of conceptual understanding of key mathematics concepts of prospective secondary mathematics teachers through observation on teaching placement and in pedagogy lectures. A pilot study to enhance the conceptual understanding of prospective teachers was carried out…
Yazgan-Sag, Gönül; Emre-Akdogan, Elçin; Argün, Ziya
The aim of our study was to examine prospective secondary mathematics teachers' reflections about teaching after their first teaching experience. We carried out five interviews during the two semesters with four Turkish prospective secondary mathematics teachers. The data analysis suggests that prospective secondary mathematics teachers'…
van Ingen, Sarah; Eskelson, Samuel L.; Allsopp, David
The mathematics consultation represents a powerful opportunity for mathematics teachers to leverage the knowledge base of special education professionals to advance equity for students with special education needs. Yet, most teacher preparation programs do not specifically prepare prospective teachers to engage in mathematics-specific…
Evans, Brian R.; Leonard, Jacqueline; Krier, Kathleen; Ryan, Steve
Beliefs about teaching mathematics and urban students' ability to learn mathematics are often overlooked in the discourse on highly qualified teachers. Altering teacher experiences has the potential to change their beliefs. It was found in this qualitative case study that preservice teachers' beliefs about teaching mathematics to urban students…
Morris, Anne K.; Hiebert, James
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…
The use of computers and technology in mathematics education affects students' learning, achievements, and affective dimensions. This study explores prospective Turkish primary mathematics teachers' views about the use of computers in mathematics education. The sample comprised of 129 fourth-year prospective primary mathematics teachers from two…
Mischo, Christoph; Maaß, Katja
This paper presents an intervention study whose aim was to promote teacher beliefs about mathematics and learning mathematics and student competences in mathematical modeling. In the intervention, teachers received written curriculum materials about mathematical modeling. The concept underlying the materials was based on constructivist ideas and…
Dayal, Hem Chand
In recent times, there has been considerable interest shown in the affective domain of mathematics education with research findings pointing out that affective variables have profound impact on classroom practices of mathematics teachers. In other words, teachers' conceptions of mathematics and mathematics teaching are greatly influenced by…
Sagirli, Meryem Özturan
This study aimed to evaluate a newly introduced elective course "Drama in Mathematics Education" into mathematics education curriculum from the viewpoints of pre-service mathematics teachers. A case study was employed in the study. The study group consisted of 37 pre-service mathematics teachers who were enrolled in a Turkish state…
Leavy, Aisling; Hourigan, Mairead; Carroll, Claire
This study reports entry-level mathematics attitudes of pre-service primary teachers entering an initial teacher education (ITE) program one decade apart. Attitudes of 360 pre-service primary teachers were compared to 419 pre-service teachers entering the same college of education almost one decade later. The latter experienced reform school…
Ho Younghusband, Alice Christine
Certified teachers in British Columbia (BC) schools can be assigned to teach secondary mathematics without having a major, minor, or formal background in mathematics. This is known as out-of-field teaching. These non-mathematics subject specialist teachers (NMSSTs) must learn or relearn the subject matter of mathematics to teach secondary mathematics. This study investigates what professional learning activities NMSSTs participate in to gain subject matter content knowledge in mathematics, wh...
Participants in this study were asked to report what strategies were most often used in their attempts to foster their students' problem solving abilities. Participants included 70 second through fifth-grade elementary teachers from 42 schools in a large state of the south central region in the U.S. Data analyses of the interviews revealed that…
Heaverlo, Carol Ann
Researchers, policymakers, business, and industry have indicated that the United States will experience a shortage of professionals in the Science, Technology, Engineering, and Mathematics (STEM) fields. Several strategies have been suggested to address this shortage, one of which includes increasing the representation of girls and women in the STEM fields. In order to increase the representation of women in the STEM fields, it is important to understand the developmental factors that impact girls' interest and confidence in STEM academics and extracurricular programs. Research indicates that greater confidence leads to greater interest and vice versa (Denissen et al., 2007). This study identifies factors that impact girls' interest and confidence in mathematics and science, defined as girls' STEM development. Using Bronfenbrenner's (2005) bioecological model of human development, several factors were hypothesized as having an impact on girls' STEM development; specifically, the macrosystems of region of residence and race/ethnicity, and the microsystems of extracurricular STEM activities, family STEM influence, and math/science teacher influence. Hierarchical regression analysis results indicated that extracurricular STEM involvement and math teacher influence were statistically significant predictors for 6--12th grade girls' interest and confidence in mathematics. Furthermore, hierarchical regression analysis results indicated that the only significant predictor for 6--12th grade girls' interest and confidence in science was science teacher influence. This study provides new knowledge about the factors that impact girls' STEM development. Results can be used to inform and guide educators, administrators, and policy makers in developing programs and policy that support and encourage the STEM development of 6--12th grade girls.
Offers teachers engaging ways to weave real-life financial issues and personal money management into NCTM standards-based secondary mathematics lessons while meeting equity and accountability requirements.
Yildirim, Bekir; Türk, Cumhur
In this study, the opinions of middle school science teachers and mathematics teachers towards STEM education were examined. The research was carried out for 30 hours with 28 middle school science and mathematics teachers who were working in Istanbul during the spring semester of 2016-2017 academic year. 75% of these teachers are female teachers…
Chval, Kathryn; Abell, Sandra; Pareja, Enrique; Musikul, Kusalin; Ritzka, Gerard
High quality teachers are essential to improving the teaching and learning of mathematics and science, necessitating effective professional development (PD) and learning environments for teachers. However, many PD programs for science and mathematics teachers fall short because they fail to consider teacher background, experience, knowledge,…
Lorena Salazar Solórzano
Full Text Available Beginning university training programs must focus on different competencies for mathematics teachers, i.e., not only on solving problems, but also on posing them and analyzing the mathematical activity. This paper reports the results of an exploratory study conducted with future secondary school mathematics teachers on the introduction of problem-posing tasks in formal mathematics courses, specifically in abstract algebra and real analysis courses. Evidence was found that training which includes problem-posing tasks has a positive impact on the students’ understanding of definitions, theorems and exercises within formal mathematics, as well as on their competency in reflecting on the mathematical activity.
Reynolds, Thomas D.; And Others
This compilation of 138 problems illustrating applications of high school mathematics to various aspects of space science is intended as a resource from which the teacher may select questions to supplement his regular course. None of the problems require a knowledge of calculus or physics, and solutions are presented along with the problem…
Artzt, Alice F.; Armour-Thomas, Eleanor
Uses a "teaching as problem solving" perspective to examine the components of metacognition underlying the instructional practice of seven experienced and seven beginning secondary-school mathematics teachers. Data analysis of observations, lesson plans, videotapes, and audiotapes of structured interviews suggests that the metacognition of…
Díaz, Verónica; Poblete, Alvaro
This paper describes part of a research and development project carried out in public elementary schools. Its objective was to update the mathematical and didactic knowledge of teachers in two consecutive levels in urban and rural public schools of Region de Los Lagos and Region de Los Rios of southern Chile. To that effect, and by means of an…
Gormley, Matthew J.; Dupaul, George J.
Teacher-to-teacher consultation (TTC) is an extension of standard behavioral consultation that seeks to transfer an established and effective intervention across a grade-level transition by including teachers from both grade levels as conjoint consultees at the beginning of the second school year. The purpose of the current study was to determine…
Olds, Edwin G., Comp; And Others
This yearbook is a reference source of direct applications of mathematics for use in grades 7-12. Topics are listed alphabetically in each of four sections: arithmetic, algebra, geometry, and trigonometry. An explanation is given as to the plan of the book, making the location of desired material easier, and an index is included. In many cases the…
Chao, Theodore; Murray, Eileen; Star, Jon R.
Teaching mathematics for understanding requires listening to each student's mathematical thinking, best elicited in a one-on-one interview. Interviews are difficult to enact in a teacher's busy schedule, however. In this study, the authors utilize smartphone technology to help mathematics teachers interview a student in a virtual one-on-one…
Aulia Nur Arivina; Masrukan Masrukan; Ardhi Prabowo
The purposes of this research are: (1) Test the learning with LAPS-Heuristic model using performance assessment on 10th grade of Trigonometry material is complete, (2) to test the difference of students' mathematical reasoning ability on 10th grade of Trigonometry material between the learning model of LAPS-Heuristic using performance assessment, LAPS-Heuristic learning model with Expository learning model, (3) test the ability of mathematical reasoning with learning model of LAPS-Heuristik o...
Full Text Available Number sense involves efficient strategies and the ability to think flexibly with numbers and number operations and flexible thinking ability and the inclination getting for making sound mathematical judgements. The aim of this study was to investigate the strategies used by mathematics teachers while solving number sense problems. Eleven mathematics teachers from a graduate program in education were the participants. A number sense test which has a total of 12 problems is used as the data gathering tool. Teachers’ responses and strategies were analyzed both qualitatively and quantitatively.First, participants’ responses were evaluated for correctness. Then the strategies teachers used were analyzed. The strategies were categorized as based on the use of number sense or rule based strategies. When the correct and incorrect responses were considered together, in the 46% of the responses number sense strategies were used and in 54% the rule-based strategies were used. The results of this study showed that even though teachers can use number sense strategies at some level, there is still room for development in teachers’ number sense.
Full Text Available Title I of the No Child Left Behind Act (P.L. 107-110, 115 Stat. 1245, 2002 holds schools accountable for reducing the academic achievement gap between the different ethnic groups and requires elementary school teachers to have at least a bachelors degree and a state certification. The purpose of this study was to examine the relationship of the qualification requirement of NCLB to the goal of reducing the academic achievement gap. The study found that students with a certified teacher for most of their early school experience scored higher in reading than students who did not have a certified teacher. In addition, certification was associated with slightly narrowing the academic gap between African American and European American students across early elementary grades.
Amador, Julie M.
The purpose of this study was to implement a Video Simulation Task in a mathematics methods teacher education course to engage preservice teachers in considering both the teaching and learning aspects of mathematics lesson delivery. Participants anticipated student and teacher thinking and created simulations, in which they acted out scenes on a…
Erbay, Hatice Nur; Yavuz, Gunes
Mathematics is seen by many people as the best way to get a good life and a good career. It is also thought as an assistant to understand life and the world and to produce ideas about them. Therefore, new reform studies are being held to construct a new system that assists students to learn mathematics in a comprehensive way (Dursun & Dede,…
Pantaleon, K. V.; Juniati, D.; Lukito, A.; Mandur, K.
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.
Sikko, S.A.; Lyngved, R.; Pepin, B.
This paper reports on mathematics and science teachers’ beliefs concerning the use of inquiry-based teaching strategies. Two different surveys were conducted: one with 24 teachers who were to become future instructional leaders; and one with 75 teachers as part of an international baseline study. We
Full Text Available This study aims to analyze and describe the mathematics problems in the eighth grade mathematics textbook of new Indonesian curriculum (K-13 based on The Programme for International Student Assesment (PISA frameworks. The object of this study was the the revised version textbooks of the eighth grade mathematics student’s book published by The Ministry of Education and Culture (Kemendikbud in 2014. The framework of the analysis in this study was the PISA components consisting of process, content, and context with its categories. The research method was descriptive quantitative. The data was collected by observing the contents of the textbook and interviewing the students and the teachers in SMP Negeri 2 Rembang. The analysis showed that the contents of the textbook were in accordance to the PISA components. The result also indicated that in both semester of the students’ book, the problems involving the process of employing mathematical concepts, facts, procedures, and reasoning were more dominant than others. Moreover, in the contexts, the problems were dominated by the personal context. Furthermore, the first semester students’ books were dominated by the change and relationships contents while the second semester books were dominated by the space and shape contents.
Sakiz, Gonul; Pape, Stephen J; Hoy, Anita Woolfolk
The purpose of the present study was to explore the importance of perceived teacher affective support in relation to sense of belonging, academic enjoyment, academic hopelessness, academic self-efficacy, and academic effort in middle school mathematics classrooms. A self-report survey was administered to 317 seventh- and eighth-grade students in 5 public middle schools. Structural equation modeling indicated significant associations between perceived teacher affective support and middle school students' motivational, emotional, and behavioral outcomes. The structural model explained a significant proportion of variance in students' sense of belonging (42%), academic enjoyment (43%), self-efficacy beliefs (43%), academic hopelessness (18%), and academic effort (32%) in mathematics classrooms. In addition to providing the basis for a concise new measure of perceived teacher affective support, these findings point to the importance of students' perceptions of the affective climate within learning environments for promoting academic enjoyment, academic self-efficacy, and academic effort in mathematics. Copyright Â© 2011 Society for the Study of School Psychology. Published by Elsevier Ltd. All rights reserved.
An Evaluation of Grades 9 and 10 Mathematics Textbooks Vis-À-Vis Fostering Problem Solving Skills. ... Document analysis was carried out on the two textbooks using Mathematics Material Analysis Instrument (MMAI) developed by Karen (1997). Interview was held with two experts from Institute of Curriculum Development ...
Madison, Bernard L.; Linde, Cassandra S.; Decker, Blake R.; Rigsby, E. Myron; Dingman, Shannon W.; Stegman, Charles E.
A college mathematics placement test with 25 basic algebra items and 15 calculus readiness items was administered to 1572 high school seniors, and first college mathematics course grades were obtained for 319 of these students. Test results indicated that more than two thirds of the high school graduates were not college ready, and the test…
Alberta Dept. of Education, Edmonton.
This pilot test for ninth grade mathematics is written in both French and English. The test consists of 75 multiple-choice items. Students are given 90 minutes to complete the examination and the use of a calculator is highly recommended. The test content covers a wide range of mathematical topics including: decimals; exponents; arithmetic word…
Swearingen, Dixie K.
This experimental study examined the effect of an educational massive multiplayer online game (MMOG) on achievement on a standards-based mathematics exam. It also examined the interaction of student characteristics (gender and socioeconomic status) with digital game play on mathematics achievement. Two hundred eighty ninth grade students from a…
nurul, didin; zahra anasha, zara
Critical mathematic thinking ability is very important to solve daily problems. But in reality, junior high school students' critical mathematic thinking ability is still low. Ability measurement such as measurement of critical mathematic thinking ability cannot be measured through multiple choices test. In that case, an essay test in which graded scoring is used as scoring technique more suitable than multiple choices test. The result of the essay test will be analyzed to describe...
Presser, Ashley Lewis; Busey, Amy
This research brief describes the value of using mobile technologies in and out of elementary mathematics classrooms, and investigates the view that teachers may not be getting the guidance they need to best leverage those technologies. The authors explore three areas of concern: How can teachers use technology in developmentally appropriate ways…
Clarke, Carne; Fisher, William; Marks, Rick; Ross, Sharon; Zbiek, Rose Mary
This book focuses on essential knowledge for teachers about rational numbers. It is organized around four big ideas, supported by multiple smaller, interconnected ideas--essential understandings. Taking teachers beyond a simple introduction to rational numbers, the book will broaden and deepen their mathematical understanding of one of the most…
Remillard, Janine T., Ed.; Herbel-Eisenmann, Beth A., Ed.; Lloyd, Gwendolyn M., Ed.
This book compiles and synthesizes existing research on teachers' use of mathematics curriculum materials and the impact of curriculum materials on teaching and teachers, with a particular emphasis on--but not restricted to--those materials developed in the 1990s in response to the NCTM's Principles and Standards for School Mathematics. Despite…
Ozgen, Kemal; Tataroglu, Berna; Alkan, Huseyin
The present study aims to identify pre-service mathematics teachers' multiple intelligence domains and learning style profiles, and to establish relationships between them. Employing the survey model, the study was conducted with the participation of 243 pre-service mathematics teachers. The study used the "multiple intelligence domains…
An, Song A.; Tillman, Daniel A.; Paez, Carlos R.
This study investigated the effects upon elementary preservice teachers' mathematics teaching self-efficacy and interdisciplinary lesson design strategies, which resulted from an educational intervention that emphasized integrated music-mathematics instruction. The participating elementary preservice teachers (n = 152) were recruited for this…
Yilmaz, Gül Kaleli; Koparan, Timur; Hanci, Alper
In this study, it is aimed to determination of the relationship between learning styles and TIMSS mathematics achievements of eighth grade students. Correlational research design that is one of the quantitative research methods, was used in this study. The sample of the research consists of 652 8th grade students 347 are male and 305 are female…
Özsoy, Nesrin; Özyer, Sinan; Akdeniz, Nesibe; Alkoç, Aysenur
The aim of this research is teaching addition with natural numbers and the concept of large and small natural numbers in the second grade mathematics course, through creative drama method. The study has been applied to 31 elementary school second grade students studying at a public school in the province of Aydin. In this research, case study…
Kool, Marjolein; Keijzer, Ronald
A primary teacher needs mathematical problem solving ability. That is why Dutch student teachers have to show this ability in a nationwide mathematics test that contains many non-routine problems. Most student teachers prepare for this test by working on their own solving test-like problems. To what extent does these individual problem solving activities really contribute to their mathematical problem solving ability? Developing mathematical problem solving ability requires reflective mathema...
Full Text Available In this article, we present a discussion about the type of mathematical discourse that is being produced in classrooms where the language of learning and teaching is local languages. We also further explore the tensions in the mathematical discourse being produced. The study sample was 4 mathematics teachers from a semi-urban primary school in Malawi. The methods of data collection included classroom observations, pre-observation focus group discussions and reflective interviews. The results show that even though both students and teachers were able to communicate freely in local languages in the mathematics classroom, the mathematical discourse that came was distorted. This is mainly caused by lack of a well-developed mathematical discourse in local languages, which in turn takes away the confidence of mathematics teachers in the classroom. As a result, the mathematics classrooms are still being characterized by teachers not being creative, use of word by word from books, focus more on procedural than conceptual and thus teacher centered is still dominant in these classrooms. Furthermore, it is found that there are tensions between the formal and informal mathematical language in local languages. These results in turn have promoted a more in-depth understanding to the teaching and learning of mathematics when local language is the language of learning and teaching. Therefore, this article argues for a well-balanced approach when it comes to teaching and learning of mathematics rather than just focusing on the use of local languages.
Karatas, Ilhan; Guven, Bulent; Öztürk, Yasin; Arslan, Selahattin; Gürsöy, Kadir
The aim of this study was to determine pre-school teachers' beliefs about teaching mathematics to young learners. In this context, we compared preschool teachers' beliefs with mathematical learning, talent-development-age appropriateness for mathematical learning, the nature of mathematics, the curriculum, teacher efficacy, and the teacher's role…
Carol Van Vooren
Full Text Available In the Digital Age teachers have fallen far behind the technical skills of their "digital native" students. The implementation of technology as a tool for classroom communication is foreign for most teachers, but highly preferred by students. While teenagers are using Facebook, Twitter, and other social networks to communicate, teachers continue to respond through face-to-face conversations, telephone calls, and email messaging. Twitter, a platform for short message service text, is an online social network site that allows users to send and receive messages using 140 characters or less called Tweets. To analyze the relationship of the teacher's use of Twitter with student academic achievement, a correlation study conducted by Bess collected data from two matched samples of eighth grade science students: one utilizing Twitter and one not utilizing Twitter to reinforce classroom instruction. Two tests matching the science standards were given to both samples of students. The results of the tests were used as primary data. The findings suggested a positive correlation between the use of Twitter and student performance on the standardized tests. Implications for this study indicate that young teenagers may prefer Twitter as a mode of communication with their teacher, resulting in higher academic achievement in a middle school science class.
Brett, B.; Scheirer, M.A.; Raizen, S.
The Teachers` Academy for Mathematics and Science in Chicago (TAMS) is a freestanding institution founded in 1989 by scientists and a variety of other stakeholders, to advance the systemic reform of mathematics and science education in Chicago`s public schools. It focuses on the ``re-tooling`` of its elementary level teachers. The TAMS program, which has been funded in part by the DOE, contributes to strategic goals two through five of the Office of University and Science Education (OUSE). This evaluation of TAMS by the National Center for Improving Science Education is primarily a qualitative study that summarizes the history and current status of the organization and its programs. Data was obtained through extensive interviews, observations, and document review, using a framework of templates to guide data collection and analyses. The findings are organized around a series of lessons learned from the first three years of TAMS and conclusions about its current status.
Full Text Available In light of the NCLB Act of 2001, this study estimated mathematics achievement gaps in different subgroups of kindergartners and first graders, and identified child- and school-level correlates and moderators of early mathematics achievement. A subset of 2300 students nested in 182 schools from the Early Childhood Longitudinal Study K-First Grade data set was analyzed with hierarchical linear models. Relative to school mean estimates at the end of kindergarten, significant mathematics achievement gaps were found in Hispanics, African Americans and high poverty students. At the end of Grade 1, mathematics gaps were significant in African American, high poverty, and female subgroups, but not in Hispanics. School-level correlates of Grade 1 Mathematics achievement were class size (with a small negative main effect, at-home reading time by parents (with a large positive main effect and school size (with a small positive main effect. Cross-level interactions in Grade 1 indicated that schools with larger class and school sizes had a negative effect on African American children's math scores; schools giving more instructional time to reading and math had a positive effect on high poverty students' scores, and schools with higher elementary teacher certification rates had a positive effect on boys' mathematics achievement.
Full Text Available This research was conducted in order to examine the subject matter of Mathematics teachers in the context of "Mathematical Knowledge For Teaching" (MKT model of "Basic Concepts in Sets" which is the first topic of the 9th class "Sets". The study group, which is one of the qualitative research methods, used the case study design, constitutes 5 mathematics teachers who work in different education levels (primary and secondary education in the academic year of 2015-2016. Open-ended questions and semi-structured interview form developed by the researcher were used for data collection. A descriptive analysis technique was used to analyze the data obtained through interviews. While analyzing the data, teacher and student textbooks, which were prepared by the Ministry of National Education for the purpose of teaching in 2015-2016 academic year, were taken as a reference. According to the research findings, it was determined that the teachers had deficiencies in the subject field of "Basic Concepts in the Sets" and had superficial knowledge rather than in depth knowledge.
Kuzle , Ana; Biehler , Rolf
International audience; Studying practices in a teaching-learning environment, such as professional development programmes, is a complex and multi-faceted endeavour. While several frameworks exist to help researchers analyse teaching practices, none exist to analyse practices of those who organize professional development programmes, namely mathematics teacher educators. In this paper, based on theoretical as well as empirical results, we present a protocol for capturing different aspects of ...
Elçi, Aysun Nüket
The purpose of the study is to determine students' attitudes towards mathematics, to investigate these attitudes according to the different variables, and to reveal the impacts of mathematics teachers' approaches and in-class activities on the students' attitudes towards mathematics. The study was conducted with the high school students from…
Preschool teachers are expected to engage young children in challenging and supportive mathematics learning. Rich and responsive language experiences in mathematics support children's language acquisition and engagement related to mathematics, however, such engaging experiences may be minimally available to many young children. Professional…
Alfonso Jiménez Espinosa
Full Text Available This research-based article reflects on mathematics teacher education, and proposes a pedagogical model for this purpose, called Gradual Research Pedagogical Model (MPGI. This model considers the central curricular elements of any academic education process: student, teacher and contents, with evaluation as transversal element for analysis and feedback. The training of future teachers is constituted by three moments, each with its specific emphasis: the first is “contextualization”, which aims at having the student understand his or her new academic role, and identify and overcome his or her academic weak points, the second is “knowledge foundation”, which offers basic education in the fields of mathematics and pedagogy, as well as sensibilization towards social issues, opening up the student’s possibilities as leader and agent of change, and lastly, “knowledge immersion”, which is centered on research and the identification and study of topics and problems of the mathematical discipline as well as the pedagogical field.
Hassinger-Das, Brenna; Jordan, Nancy C.; Glutting, Joseph; Irwin, Casey; Dyson, Nancy
Domain general skills that mediate the relation between kindergarten number sense and first-grade mathematics skills were investigated. Participants were 107 children who displayed low number sense in the fall of kindergarten. Controlling for background variables, multiple regression analyses showed that attention problems and executive functioning both were unique predictors of mathematics outcomes. Attention problems were more important for predicting first-grade calculation performance while executive functioning was more important for predicting first-grade performance on applied problems. Moreover, both executive functioning and attention problems were unique partial mediators of the relationship between kindergarten and first-grade mathematics skills. The results provide empirical support for developing interventions that target executive functioning and attention problems in addition to instruction in number skills for kindergartners with initial low number sense. PMID:24237789
Nguyen, Tutrang; Watts, Tyler W.; Duncan, Greg J.; Clements, Douglas H.; Sarama, Julie S.; Wolfe, Christopher; Spitler, Mary Elaine
In an effort to promote best practices regarding mathematics teaching and learning at the preschool level, national advisory panels and organizations have emphasized the importance of children’s emergent counting and related competencies, such as the ability to verbally count, maintain one-to-one correspondence, count with cardinality, subitize, and count forward or backward from a given number. However, little research has investigated whether the kind of mathematical knowledge promoted by the various standards documents actually predict later mathematics achievement. The present study uses longitudinal data from a primarily low-income and minority sample of children to examine the extent to which preschool mathematical competencies, specifically basic and advanced counting, predict fifth grade mathematics achievement. Using regression analyses, we find early numeracy abilities to be the strongest predictors of later mathematics achievement, with advanced counting competencies more predictive than basic counting competencies. Our results highlight the significance of preschool mathematics knowledge for future academic achievement. PMID:27057084
Corkin, Danya M.; Ekmekci, Adem; Papakonstantinou, Anne
This paper examines the antecedents of three types of educational beliefs about mathematics among 151 teachers predominantly working in high poverty schools. Studies across various countries have found that teachers in high poverty schools are less likely to enact instructional approaches that align with mathematics reform standards set by…
Leflot, Geertje; Onghena, Patrick; Colpin, Hilde
This study examined whether teacher-child interactions characterized by teacher involvement, structure, and autonomy support at the beginning of second grade predicted children's global, academic, social, and behavioural self-concept at the end of second grade. The study was conducted in 30 second grade classrooms with 570 children and their…
This paper argues that school grades cannot be interpreted solely as a reward for a given school performance, since they also reflect teachers' assessments of pupils. A teacher's evaluation of a pupil's performance, as reflected in the grade awarded, might influence the effort that the pupil invests in learning. Grades might therefore serve as…
Wajeeh M. Daher
Full Text Available Several researches examined students' mathematics learning using mobile phones, while very few researches examined mathematics teaching using this new educational tool. This research attempts to analyze in-service and pre-service teachers' attitudes and decisions regarding mathematics teaching with mobile phones using activity theory. More specifically, three case studies are analyzed in this research: One concerns an in-service teacher who used mobile phones in her class, the second case study involves a pre-service teacher who collaborated with the in-service teacher to teach mathematics lessons using mobile phones, and the third case study is about 15 pre-service teachers who were observers of the experiment but did not use mobile phones in their teaching. We held one-hour semi-structured interviews with the in-service teacher, with the leading pre-service teacher and with the group of other observer pre-service teachers. This happened three times during the academic year: at the beginning of the experiment, after three months and after it ended. The research findings indicate that different factors have an impact on the attitudes and decisions of the teacher: history of the teacher using technologies in teaching, perceptions of the teacher using technologies in teaching, community’s teacher, rules regulating the use of technologies in teaching mathematics, and division of labor. For example, questions as to who decides which technologies to use in the classroom and who should prepare the learning material for the students. Contradictions were identified in mathematics teachers' activity when utilizing mobile phones in their teaching. These contradictions hinder or slow such utilization. Community, especially its leading members, mediated and helped overcome the activity contradictions that arose throughout the experiment regarding the teaching processes in and/or out of the mathematics classroom.
Choy, Ban Heng
Designing a mathematically worthwhile task is critical for promoting students' reasoning. To improve task design skills, teachers often engage in collaborative lesson planning activities such as lesson study. However, to learn from the process of lesson study, it is important for teachers to notice productively the concepts, students' confusion and the design of the task. But what researchers mean by productive noticing varies. In this article, I present the FOCUS Framework which highlights two characteristics of productive noticing: having an explicit focus for noticing and focusing noticing through pedagogical reasoning. Using these two characteristics, I develop snapshots of noticing as a representation of practice to present a fine-grained analysis of teacher noticing. Through vignettes of teachers discussing the design of a task to teach fractions, I illustrate how two teachers' noticing can be analysed and represented using snapshots of noticing. To conclude, I highlight what snapshots of noticing tell us about a teacher's noticing and suggest ways to use these snapshots in future studies of noticing.
Robert M. Bernard
Full Text Available This study examines the achievement outcomes accompanying the implementation of a Grade 3 laptop or so-called ubiquitous computing program in a Quebec school district. CAT-3 reading, language, and mathematics batteries were administered at the end of Grade 2 and again at the end of Grade 3, after the first year of computer implementation. Overall gain was found in all three content areas, but was differential when compared with the norms of the CAT-3. Additionally, some evidence suggested a differential gain for lower and middle-level learners during the school year. Teachers were administered an instrument called the Technology Implementation Questionnaire (TIQ that assessed the purposes and extent of technology integration. Negative correlations were found in reading achievement gain for items associated with the higher use of communicative, evaluative, and creative uses of computers. Open-ended teacher responses indicated the need for more professional support for instructional implementations of computing. Résumé: Cette étude examine les performances accompagnant l’implantation d’un programme d’ordinateurs portables en 3 ième année du primaire, aussi appelé programme d’ubiquité computationnelle, dans une école d’un district scolaire du Québec. Des batteries de tests, CAT-3 en lecture, en langue et en mathématiques ont été administrées à la fin de la deuxième année du primaire et une autre fois à la fin de la troisième année du primaire, après un an d’implantation des ordinateurs. Un gain fut observé dans les trois matières, mais était différencié lorsque comparé aux normes du CAT-3. De plus, un gain différencié fut mis en évidence pour les apprenants de niveau inférieur et moyen durant l’année scolaire. Les enseignants ont rempli le Technology Implementation Questionnaire (TIQ qui mesure le but et l’étendue de l’intégration technologique. Des corrélations négatives ont été trouvées en
Artzt, Alice F.; Armour-Thomas, Eleanor
This activity-oriented book for preservice mathematics teachers who are taking methods courses or who have been student teaching offers a framework for teacher reflection and self- assessment. It supplies detailed observation instruments for observing other teachers, reflective activities, and guidelines and instruments for supervisors. There are…
Morales-Chicas, Jessica; Agger, Charlotte
In this article, the authors use the national High School Longitudinal Study of 2009 (HSLS:09) dataset to explore (a) if repeating algebra in the eighth grade was associated with overall mathematics grades and course-taking patterns by twelfth grade, (b) if repeating algebra in the eighth grade was associated with students' final grade in algebra,…
Based on Social Cognitive Carier Theory (SCCT) (Lent, Brown, & Hackett, 1994, 2002), this study tested the effects of mathematics teacher candidates' self-efficacy in, outcome expectations from, and interest in CAME on their intentions to integrate Computer-Assisted Mathematics Education (CAME). While mathematics teacher candidates' outcome…
This study examined the shared beliefs among mathematics teachers in one secondary school in the United Kingdom across the first term of a school year and almost 4 years subsequently. Leximancer software was used to analyse the language used as teachers responded to questions concerning their beliefs about mathematics, mathematics teaching,…
Hannigan, Ailish; Gill, Olivia; Leavy, Aisling M.
The development of statistical literacy is fast becoming the focus of a large part of mathematics instruction at primary, secondary and tertiary levels. This broadening of the mathematics curriculum to encompass a focus on statistics makes considerable demands on teachers. Most mathematics teachers acknowledge the practical importance of…
Jacobs, Gerrie J.; Durandt, Rina
This study explores the attitudes of mathematics pre-service teachers, based on their initial exposure to a model-eliciting challenge. The new Curriculum and Assessment Policy Statement determines that mathematics students should be able to identify, investigate and solve problems via modelling. The unpreparedness of mathematics teachers in…
Gann, Linda; Bonner, Emily P.; Moseley, Christine
Given the increasing number of English Language Learners (ELLs) in secondary mathematics classrooms, it is imperative that mathematics teacher educators develop measures for determining how and why secondary mathematics teachers (SMTs) understand and respond instructionally to these students. This paper reports on the initial development and…
Osmanoglu, Aslihan; Dincer, Emrah Oguzhan
The aim of this study was to investigate prospective secondary mathematics teachers' perceptions on and adaptation of student-centred approach to teaching. The study was conducted with 58 prospective secondary mathematics teachers who were the graduates from mathematics departments from different universities' Science and Literature faculties.…
del Prado Hill, Pixita; Friedland, Ellen S.; McMillen, Susan
This article presents two innovative tools--the Mathematics-Literacy Planning Framework and Mathematics-Literacy Implementation Checklist--which are designed to help instructional coaches and specialists support teachers to meet the challenges of the mathematics-literacy integration goals of the Common Core. Developed with teacher input, these…
With persistent concerns about student engagement, interest and participation in mathematics, this research investigated the range of practices 31 Year 7 mathematics teachers reported using and how they perceived these practices influenced student engagement in mathematics. In-depth interviews revealed similarities in teachers' perceptions of…
Self-regulated learning skills are important in mathematical problem solving. The aim of the paper is to present a research on how mathematics teachers guide their pupils' mathematical problem-solving activities in order to increase self-regulation. 62 teachers have filled in a questionnaire developed for this research. The results are show that…
Gautreau, Cynthia; Brye, Michelle VanderVeldt; Lunceford, Christina
The purpose of this study was to investigate mathematics-related anxiety and attitudes among Latina preservice teachers. Three sections from the Inventory of Mathematics Attitudes, Experience, and Self Awareness were administered to preservice teachers enrolled in a curriculum and instruction mathematics course during the 1st semester of a…
Kastberg, Signe E.; Tyminski, Andrew M.; Sanchez, Wendy B.
Calls have been made for the creation of a shared knowledge base in mathematics teacher education with the power to inform the design of scholarly inquiry and mathematics teacher educators' (MTEs) scholarly practices. Focusing on mathematics methods courses, we summarize and contribute to literature documenting activities MTEs use in mathematics…
McCulloch, Allison W.; Marshall, Patricia L.; DeCuir-Gunby, Jessica T.; Caldwell, Ticola S.
Mathematics autobiographies have the potential to help teachers reflect on their identities as mathematics learners and to understand their role in the development of their students' mathematics identities. This paper reports on a professional development project for K-2 teachers (n = 41), in which participants were asked to write mathematics…
Cetinkaya, Bulent; Erbas, Ayhan Kursat
Teaching efficacy beliefs have attracted researchers' attention in recent decades because of its close association with and potential impact on the implementation of new ideas and skills in education. In the present study, we have explored the psychometric properties and construct validity of the Turkish adaptation of the Mathematics Teacher Efficacy Belief Instrument developed by Enochs, Smith, & Huinker (2000) for in-service mathematics teachers. The instrument distinguishes between two dimensions of efficacy beliefs for mathematics teachers: personal mathematics teaching efficacy and mathematics teaching outcome expectancy. The sample consisted of 1355 in-service elementary school teachers and middle school mathematics teachers from 368 schools. Exploratory and confirmatory factor analysis revealed a two-factor structure similar to that found in other studies. Also, scores from the two subscales indicated acceptable internal consistency.
Ebaeguin, Marlon; Stephens, Max
This study makes a comparison between what literature on Japanese Lesson Study suggests are key elements of a good mathematics lesson and what junior high school mathematics teachers in Japan value in planning their lessons. The teachers' strong consensus in their endorsements of these key elements explains why Japanese teachers strongly support…
Hodges, Thomas E.; Hodge, Lynn Liao
This article explores the personal identities of two prospective elementary teachers as they progressed from mathematics methods coursework into their capstone student teaching semester. Results indicate that both prospective teachers perceived contrasting obligations of effective mathematics teaching in the teacher education and student teaching…
Giles, Rebecca McMahon; Byrd, Kelly O.; Bendolph, Angelia
Research has consistently shown that teacher efficacy is related to a variety of desirable student outcomes, thus, making teacher efficacy an important factor in high quality mathematics instruction. The purpose of this study was to determine elementary preservice teachers' self-efficacy beliefs related to teaching mathematics. Forty-one…
Balbag, M. Zafer; Yenilmez, Kürsat; Turgut, Melih
This study aimed at adapting the personal professional development efforts scale developed for science and technology teachers to be applied for middle school mathematics teachers. For this purpose, first of all, the items of the original scale were adjusted for the middle school mathematics teachers by a team of experts. Data obtained by the new…
Zulkardi, Z.; Nieveen, N.M.
This paper reports on the second phase of a four-year study which aims to develop a learning environment that supports prospective mathematics teachers learning realistic mathematics education (RME) in teacher education in Indonesia. The results suggest that by giving student teachers experiences in
Skilling, Karen; Bobis, Janette; Martin, Andrew J.; Anderson, Judy; Way, Jennifer
What teachers' think about student engagement influences the teaching practices they adopt, their responses to students and the efforts they make in the classroom. Interviews were conducted with 31 mathematics teachers from ten high schools to investigate their perceptions and beliefs about student engagement in mathematics. Teachers also reported…
Davis, Jon D.
This study examines the influence of reading and planning from two differently organized mathematics textbooks on prospective high school mathematics teachers' pedagogical content knowledge and content knowledge of exponential functions. The teachers completed a pretest and two posttests. On the pretest, the teachers possessed an incomplete…
Mutodi, Paul; Chigonga, Benard
This paper reports on teachers' views on concept mapping: its applicability; reliability; advantages and; difficulties. A close-ended questionnaire was administered to 50 purposefully selected secondary school mathematics teachers from Sekhukhune District, Limpopo, South Africa. The findings indicate that mathematics teachers generally perceive…
Bond, Sharon C.
This study was designed to examine the teacher characteristics, workplace factors, and type of induction supports that contribute to the retention of secondary science and mathematics teachers. Using the sample of secondary science and mathematics teachers extracted from the National Center for Educational Statistics (NCES) 2007-2008 Schools and…
Huseyin, Aksu Hasan
The aim of this study is to determine elementary mathematics teachers' thoughts and feelings on the courses of school-experience and teacher-practice. In this study was used the qualitative research method. Those involved in the study were 20 mathematics teachers employed in formal/government primary schools in the Province of Giresun and in the…
Marjolein Kool; Ronald Keijzer
A primary teacher needs mathematical problem solving ability. That is why Dutch student teachers have to show this ability in a nationwide mathematics test that contains many non-routine problems. Most student teachers prepare for this test by working on their own solving test-like problems. To what
Purnomo, Y. W.; Aziz, T. A.; Pramudiani, P.; Darwis, S.; Suryadi, D.
A characteristic of the persons was very potential to affect the beliefs they held. This study examines whether there was a significant difference between the beliefs factors with characteristics such as gender, teaching experience, certification status, and grade level assignments. There were 325 primary school teachers in East Jakarta who participated in this research. MANOVA was applied to analyze the data. The findings of this study indicate that only on teaching experience, there was a significant difference between the beliefs held by the teachers, i.e. teachers who have 11-20 years teaching experience were more likely to think absolute than constructivism. Moreover, there was no difference between each belief they held with the other characteristics.
Full Text Available This descriptive study examines the elements of mathematical knowledge for teaching (MKT that elementary teacher candidates exhibit as they plan, teach, and reflect on a mathematics lesson that integrates children’s literature. Data for this study were gathered from observations and written work of preservice elementary teacher candidates enrolled in a methods of teaching mathematics course. The data were analyzed using three criteria: that of knowledge of content and students, knowledge of content and teaching, and knowledge of content and curriculum. The findings suggest a need for further development of teacher candidates’ ability to identify and locate mathematical concepts in children’s literature, as well as the need for supporting teacher candidates’ critical analysis of curricular materials and mathematical representations in children’s literature.
Full Text Available This descriptive study examines the elements of mathematical knowledge for teaching (MKT that elementary teacher candidates exhibit as they plan, teach, and reflect on a mathematics lesson that integrates children’s literature. Data for this study were gathered from observations and written work of preservice elementary teacher candidates enrolled in a methods of teaching mathematics course. The data were analyzed using three criteria: that of knowledge of content and students, knowledge of content and teaching, and knowledge of content and curriculum. The findings suggest a need for further development of teacher candidates’ ability to identify and locate mathematical concepts in children’s literature, as well as the need for supporting teacher candidates’ critical analysis of curricular materials and mathematical representations in children’s literature.
Viholainen, Antti; Asikainen, Mervi; Hirvonen, Pekka E.
This article examines Finnish mathematics student teachers' epistemological beliefs concerning the nature of mathematics and the goals of mathematics teaching and learning solely in the beginning of their studies at university. A total of 18 students participated in a study consisting of a short questionnaire and interviews. The data was analyzed…
Aulia Nur Arivina
Full Text Available The purposes of this research are: (1 Test the learning with LAPS-Heuristic model using performance assessment on 10th grade of Trigonometry material is complete, (2 to test the difference of students' mathematical reasoning ability on 10th grade of Trigonometry material between the learning model of LAPS-Heuristic using performance assessment, LAPS-Heuristic learning model with Expository learning model, (3 test the ability of mathematical reasoning with learning model of LAPS-Heuristik on Trigonometry material of SMK on 10th grade using performance assessment is increase. This is a quantitative research. The population is students of 10th grade of SMK 10 Semarang academic year 2016/2017 and the subject of research is selected by clustering random sampling. The results show that (1 Learning by model LAPS-Heuristic using performance assessment on 10th grade of Trigonometry material is complete (2 there are differences in students' mathematical reasoning ability on 10th grade of Trigonometry materials between LAPS-Heuristic learning model using performance assessment, LAPS-Heuristic learning model, and Expository learning model, (3 The ability of mathematical reasoning with learning model of LAPS-Heuristic on Trigonometry material of SMK class X using performance assessment increased.
Full Text Available The aim of this study was to contribute to knowledge about classroom assessment by identifying profiles of teachers' assessment of their students' understanding of mathematics. For carrying out this study we used data of a nationwide teacher survey (N = 960 in the Netherlands. The data were collected by an online questionnaire. Through exploratory factor analyses the underlying structure of what is measured by this questionnaire was uncovered as consisting of five factors: Goal centeredness of assessment, Authentic nature of assessment, Perceived usefulness of assessment, Diversity of assessment problem format, and Allocated importance of assessing skills and knowledge. By using a latent class analysis four different assessment profiles of teachers were identified: Enthusiastic assessors, Mainstream assessors, Non-enthusiastic assessors, and Alternative assessors. The findings suggest that teachers with particular assessment profiles have qualitatively different assessment practices. The paper concludes with discussing theoretical implications of these assessment profiles and indications these profiles can offer both for designing material for professional development in classroom assessment and for evaluating changes in teachers' classroom assessment practice.
Veldhuis, Michiel; van den Heuvel-Panhuizen, Marja
The aim of this study was to contribute to knowledge about classroom assessment by identifying profiles of teachers' assessment of their students' understanding of mathematics. For carrying out this study we used data of a nationwide teacher survey (N = 960) in the Netherlands. The data were collected by an online questionnaire. Through exploratory factor analyses the underlying structure of what is measured by this questionnaire was uncovered as consisting of five factors: Goal centeredness of assessment, Authentic nature of assessment, Perceived usefulness of assessment, Diversity of assessment problem format, and Allocated importance of assessing skills and knowledge. By using a latent class analysis four different assessment profiles of teachers were identified: Enthusiastic assessors, Mainstream assessors, Non-enthusiastic assessors, and Alternative assessors. The findings suggest that teachers with particular assessment profiles have qualitatively different assessment practices. The paper concludes with discussing theoretical implications of these assessment profiles and indications these profiles can offer both for designing material for professional development in classroom assessment and for evaluating changes in teachers' classroom assessment practice.
Bryant, Brian R; Bryant, Diane Pedrotty; Porterfield, Jennifer; Dennis, Minyi Shih; Falcomata, Terry; Valentine, Courtney; Brewer, Chelsea; Bell, Kathy
The purpose of this study was to determine the effectiveness of a systematic, explicit, intensive Tier 3 (tertiary) intervention on the mathematics performance of students in second grade with severe mathematics difficulties. A multiple-baseline design across groups of participants showed improved mathematics performance on number and operations concepts and procedures, which are the foundation for later mathematics success. In the previous year, 12 participants had experienced two doses (first and second semesters) of a Tier 2 intervention. In second grade, the participants continued to demonstrate low performance, falling below the 10th percentile on a researcher-designed universal screener and below the 16th percentile on a distal measure, thus qualifying for the intensive intervention. A project interventionist, who met with the students 5 days a week for 10 weeks (9 weeks for one group), conducted the intensive intervention. The intervention employed more intensive instructional design features than the previous Tier 2 secondary instruction, and also included weekly games to reinforce concepts and skills from the lessons. Spring results showed significantly improved mathematics performance (scoring at or above the 25th percentile) for most of the students, thus making them eligible to exit the Tier 3 intervention. © Hammill Institute on Disabilities 2014.
Scharf, John; And Others
This document is a guide to the advanced placement program in calculus for grade 12 in the city schools in Warren, Ohio. The program covers analytic geometry, differential and integral calculus of algebraic functions, elementary transcendental functions, and applications of differentiation and integration. The philosophy and aims of the program…
National Science Teachers Association, Washington, DC.
This instructional unit contains eight classroom lessons dealing with a history of energy in the United States for use in grade eight and nine social studies, science, and mathematics courses. The lessons were developed by teachers. The overall objective is to help students understand the present necessity to reexamine and perhaps alter our…
Qian, Hong; Youngs, Peter
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…
Sulistyaningsih, D.; Mawarsari, V. D.; Hidayah, I.; Dwijanto
Manipulatives are needed by teachers to facilitate students understand of mathematics which is abstract. As a prospective mathematics teacher, the student must have good skills in making manipulatives. Aims of this study is to describe the implementation of learning courses of manipulative workshop in mathematics education courses by lecturer at Universitas Muhammadiyah Semarang which includes the preparation of learning, general professional ability, the professional capacity specifically, ability of self-development, development class managing, planning and implementation of learning, a way of delivering the material, and evaluation of learning outcomes. Data collection techniques used were questionnaires, interviews, and observation. The research instrument consisted of a questionnaire sheet, sheet observation and interview guides. Validity is determined using data triangulation and triangulation methods. Data were analyzed using an interactive model. The results showed that the average value of activities in preparation for learning, fosters capabilities of general professional, specialized professional, self-development, manage the classroom, implementing the learning, how to deliver the material, and how to evaluate learning outcomes are 79%, 73%, 67%, 75%, 83%, 72%, 64%, and 54%, respectively
Narli, Serkan; Baser, Nes'e
To explore the effects of constructivist learning environment on prospective teachers' opinions about "mathematics, department of mathematics, discrete mathematics, countable and uncountable infinity" taught under the subject of Cantorian Set Theory in discrete mathematics class, 60 first-year students in the Division of Mathematics…
Lloyd, Mary Elizabeth Riley; Veal, William; Howell, Malia
This article describes the normative beliefs and the discursive claims related to mathematics and teaching mathematics made by approximately 50 middle-level and secondary mathematics teachers within four high-need local education associations participating in a Mathematics and Science Partnership with a southeastern college's Science and Math for…
An, Shuhua; Wu, Zhonghe
This study focuses on teacher learning of student thinking through grading homework, assessing and analyzing misconceptions. The data were collected from 10 teachers at fifth-eighth grade levels in the USA. The results show that assessing and analyzing misconceptions from grading homework is an important approach to acquiring knowledge of…
Guerrero-Ortiz, Carolina; Mena-Lorca, Jaime
International audience; This study analyses the results obtained from comparing the paths shown by expert mathematicians on the one hand and mathematics teachers on the other, when addressing a hypothetical problem that requires the construction of a mathematical model. The research was conducted with a qualitative approach, applying a case study which involved a group of mathematics teachers and three experts from different mathematical areas. The results show that the process of constructin...
Wall, Amanda; Miller, Samuel D.
This qualitative case study explored 4 middle grades teachers' naïve theories of motivation, and the links between these theories and their thoughts and actions related to motivation. Their naïve theories of motivation stemmed from their overall visions for teaching, and their strong identities as middle grades educators. These naïve theories also…
Luebeck, Jennifer Lyn
Rural educators face unique professional challenges and limitations. This study investigated the effectiveness of an innovative distance-mediated mentoring program for rural novice mathematics and science teachers. Four purposes were pursued: (1) characterize and document the nature and development of the mentor-novice relationship; (2) describe how discourse influenced the novice teachers' perceptions about mathematics and science teaching; (3) determine whether telecommunication effectively supported a distance-mediated mentoring relationship for novice rural teachers; and (4) investigate program effects on novice teachers' attitudes, concerns, and professional growth. A qualitative research design was implemented during academic years 1996-98. Primary data collection focused on nine rural novice teachers and their mentors and included three sets of interviews spanning three semesters, field observation of classrooms, schools, and communities, and analysis of electronic mail messages over a four-month period. Supporting data were collected during observation of workshops and training sessions, and through surveys administered to all program participants in early 1997 and 1998. Categories of mentor-novice communication were identified: curriculum and content, validation of teaching practice, classroom and school issues, moral support, and social talk. Impact on mathematics and science teaching was accomplished by: sharing materials and activities; planning units and projects; locating resources; classroom and student concerns; long-range curriculum design, and improvement of teaching practices. Professional growth (for both novices and mentors) occurred through individual contact with partners and interaction within the larger mentoring community in both face-to-face and on-line venues. Telecommunication was highly valued by successful users. Technical difficulty curtailed access for a significant number of teachers, but they maintained successful relationships
The purpose of this quantitative, descriptive, survey research was to examine pre-Kindergarten- Grade 8 teacher's perceptions regarding their preparedness, propensity, and felt value of using Facebook and Twitter for parent-teacher communication. The 38 participants completed the Teacher Presurvey, followed by an online instructional intervention,…
Nelson, Rebecca S.
The purpose of this case study was to examine the experience of one secondary mathematics teacher during his efforts to facilitate mathematical discussions in a secondary algebra class. Class discussions and interviews were documented and analyzed to investigate the patterns of discussion, the teacher's role in facilitating discussion, and the struggles encountered by the teacher through his attempts to enact reform-oriented strategies. The investigation focused on the teacher's vision for ...
Joseph M. Furner
The purpose of this study was to look at inservice teachers’ pedagogical beliefs about the National Council of Teachers of Mathematics Standards (1989 & 2000). The Standards’ Belief Instrument (Zollman and Mason, 1992) was administered on teachers. An ANOVA was used to look for a significant difference between teachers with five years or less experience of teaching mathematics, and those with more than five years teaching experience. One expectation was that teachers who are recent graduat...
Bannister, Nicole A.
This dissertation seeks to understand how teachers learn through interactions in newly formed workplace communities by examining how mathematics teachers engaged in equity-oriented reforms frame problems of practice. It examines how teachers' framings develop over time, and how teachers' shifting frames connect to their learning in a community of…
Muñiz-Rodríguez, Laura; Alonso, Pedro; Rodríguez-Muñiz, Luis J.; Valcke, Martin
Initial teacher education programmes provide student teachers with the desired competences to develop themselves as teachers. Although a generic framework for teaching competences is available covering all school subjects in Spain, the initial teacher education programmes curriculum does not specify which competences secondary mathematics student…
Contemporary research has suggested that in order for students to compete globally in the 21st century workplace, pedagogy must shift to include the integration of science and mathematics, where teachers effectively incorporate the two disciplines seamlessly. Mathematics facilitates a deeper understanding of science concepts and has been linked to improved student perception of the integration of science and mathematics. Although there is adequate literature to substantiate students' positive responses to integration in terms of attitudes, there has been little empirical data to support significant academic improvement when both disciplines are taught in an integrated method. This research study, conducted at several school districts on Long Island and New York City, New York, examined teachers' attitudes toward integration and students' attitudes about, and achievement on assessments in, an integrated 8th grade science classroom compared to students in a non-integrated classroom. An examination of these parameters was conducted to analyze the impact of the sizeable investment of time and resources needed to teach an integrated curriculum effectively. These resources included substantial teacher training, planning time, collaboration with colleagues, and administration of student assessments. The findings suggest that students had positive outcomes associated with experiencing an integrated science and mathematics curriculum, though these were only weakly correlated with teacher confidence in implementing the integrated model successfully. The positive outcomes included the ability of students to understand scientific concepts within a concrete mathematical framework, improved confidence in applying mathematics to scientific ideas, and increased agreement with the usefulness of mathematics in interpreting science concepts. Implications of these research findings may be of benefit to educators and policymakers looking to adapt integrated curricula in order to
This study aims to identify the most dominant factor of the teacher's role as a motivator that influences students' interest and motivation to perform in mathematics achievement. It is conducted in eighth grade of senior high school with 209 students, consisted of five state schools and two private schools from seven regencies in North Sumatera.…
Tatto, Maria Teresa; Peck, Ray; Schwille, John; Bankov, Kiril; Senk, Sharon L.; Rodriguez, Michael; Ingvarson, Lawrence; Reckase, Mark; Rowley, Glenn
The Teacher Education Study in Mathematics (TEDS-M) 2008 is the first cross-national study to provide data on the knowledge that future primary and lower-secondary school teachers acquire during their mathematics teacher education. It is also the first major study to examine variations in the nature and influence of teacher education programs…
Roheni; Herman, T.; Jupri, A.
This study investigates the skills of elementary school students’ in problem solving through the Scientific Approach. The purpose of this study is to determine mathematical problem solving skills of students by using Scientific Approach is better than mathematical problem solving skills of students by using Direct Instruction. This study is using quasi-experimental method. Subject of this study is students in grade V in one of state elementary school in Cirebon Regency. Instrument that used in this study is mathematical problem solving skills. The result of this study showed that mathematical problem solving skills of students who learn by using Scientific Approach is more significant than using Direct Instruction. Base on result and analysis, the conclusion is that Scientific Approach can improve students’ mathematical problem solving skills.
Gary S. Kotzé
Full Text Available The aim of this article is to investigate mathematics performance of intermediate phase learners. The quality of learners’ scholastic achievement in mathematics are analysed based on the empirical evidence obtained from an international survey. The method of inquiry is based on an analysis of existing statistic-al data concerning present-oriented problems. The effects of particular variables on mathematics learn-ing are explored, such as male and female learners and those from less advantaged social backgrounds. Overall performance and competence levels are analysed. Although there are no outstanding contributing factors that influence mathematics achievement of grade 6 learners in South Africa conclusions are drawn that may influence school system organisation and also the quality of mathematics teaching.
Full Text Available The purpose of this study was to investigate teachers’ judgments of mathematically gifted students’ characteristics with respect to various variables. Data were collected from primary school teachers and middle school math teachers (N=161 by using a survey instrument. According to research findings most of the teachers tended to think that mathematical giftedness is being observed more frequently within boys than girls. There was a statistically significant relationship between teachers’ responses about whether mathematical giftedness could be developed or not who have mathematically gifted students and those who have not. But there was no statistically significant relationship among teachers’ branch, teaching experience and their answers about the development of mathematical giftedness. Results showed that there was a statistically significant relationship between teachers’ selfperception of being mathematically gifted and their experience with mathematically gifted students. Total scores of more popular and most popular characteristics that were determined by teachers had a positive correlation with teachers’ experience. Key Words:
Robbins-Lavicka, Michelle M.
There is a lack of qualified mathematics and science teachers at all levels of education in Arkansas. Lasting teaching initiative programs are needed to address retention so qualified teachers remain in the classroom. The dearth of studies regarding why mathematics and science teachers persist in the classroom beyond the traditional 5-year attrition period led this Q-methodological study to evaluate the subjective perceptions of persistent mathematics and science teachers to determine what makes them stay. This study sought to understand what factors persisting mathematics and science teachers used to explain their persistence in the classroom beyond 5 years and what educational factors contributed to persisting mathematics and science teachers. Q-methodology combines qualitative and quantitative techniques and provided a systematic means to investigate personal beliefs by collecting a concourse, developing a Q-sample and a person-sample, conducting a Q-sorting process, and analyzing the data. The results indicated that to encourage longevity within mathematics and science classrooms (a) teachers should remain cognizant of their ability to influence student attitudes toward teaching; (b) administrators should provide support for teachers and emphasize the role and importance of professional development; and (c) policy makers should focus their efforts and resources on developing recruitment plans, including mentorship programs, while providing and improving financial compensation. Significantly, the findings indicate that providing mentorship and role models at every level of mathematics and science education will likely encourage qualified teachers to remain in the mathematics and science classrooms, thus increasing the chance of positive social change.
Yow, Jan A.; Lotter, Christine
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…
König, Johannes; Blömeke, Sigrid; Kaiser, Gabriele
We examined several facets of general pedagogical knowledge and skills of early career mathematics teachers, asking how they are associated with characteristics of teacher education, teaching experience, and working conditions. Declarative general pedagogical knowledge (GPK) was assessed via a paper-and-pencil test, while early career teachers'…
Stripling, Christopher T.; Roberts, T. Grady
The purpose of this study was to determine the effects of incorporating mathematics teaching and integration strategies (MTIS) in a teaching methods course on preservice agricultural teachers' mathematics ability. The research design was quasi-experimental and utilized a nonequivalent control group. The MTIS treatment had a positive effect on the…
Awofala, Adeneye O. A.; Odogwu, Helen N.
The study investigated mathematics cognitive failures as related to mathematics anxiety, gender and performance in calculus among 450 preservice teachers from four public universities in the South West geo-political zone of Nigeria using the quantitative research method within the blueprint of the descriptive survey design. Data collected were…
Geiger, Vince; Mulligan, Joanne; Date-Huxtable, Liz; Ahlip, Rehez; Jones, D. Heath; May, E. Julian; Rylands, Leanne; Wright, Ian
In this article we describe and evaluate processes utilized to develop an online learning module on mathematical modelling for pre-service teachers. The module development process involved a range of professionals working within the STEM disciplines including mathematics and science educators, mathematicians, scientists, in-service and pre-service…