mathematics teaching learning: Topics by Science.gov

Sample records for mathematics teaching learning

The implementation of multiple intelligences based teaching model to improve mathematical problem solving ability for student of junior high school

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Fasni, Nurli; Fatimah, Siti; Yulanda, Syerli

2017-05-01

This research aims to achieve some purposes such as: to know whether mathematical problem solving ability of students who have learned mathematics using Multiple Intelligences based teaching model is higher than the student who have learned mathematics using cooperative learning; to know the improvement of the mathematical problem solving ability of the student who have learned mathematics using Multiple Intelligences based teaching model., to know the improvement of the mathematical problem solving ability of the student who have learned mathematics using cooperative learning; to know the attitude of the students to Multiple Intelligences based teaching model. The method employed here is quasi-experiment which is controlled by pre-test and post-test. The population of this research is all of VII grade in SMP Negeri 14 Bandung even-term 2013/2014, later on two classes of it were taken for the samples of this research. A class was taught using Multiple Intelligences based teaching model and the other one was taught using cooperative learning. The data of this research were gotten from the test in mathematical problem solving, scale questionnaire of the student attitudes, and observation. The results show the mathematical problem solving of the students who have learned mathematics using Multiple Intelligences based teaching model learning is higher than the student who have learned mathematics using cooperative learning, the mathematical problem solving ability of the student who have learned mathematics using cooperative learning and Multiple Intelligences based teaching model are in intermediate level, and the students showed the positive attitude in learning mathematics using Multiple Intelligences based teaching model. As for the recommendation for next author, Multiple Intelligences based teaching model can be tested on other subject and other ability.
Avoiding Misinterpretations of Piaget and Vygotsky: Mathematical Teaching without Learning, Learning without Teaching, or Helpful Learning-Path Teaching?

ERIC Educational Resources Information Center

Fuson, Karen C.

2009-01-01

This article provides an overview of some perspectives about special issues in classroom mathematical teaching and learning that have stemmed from the huge explosion of research in children's mathematical thinking stimulated by Piaget. It concentrates on issues that are particularly important for less-advanced learners and for those who might be…
Learning the Work of Ambitious Mathematics Teaching

ERIC Educational Resources Information Center

Anthony, Glenda; Hunter, Roberta

2013-01-01

"Learning the Work of Ambitious Mathematics" project was developed to support prospective teachers learn the work of ambitious mathematics teaching. Building on the work of U.S. researchers in the "Learning in, from, and for Teaching Practice" project, we investigate new ways to make practice studyable within the university…
From Preface to Practice: A Narrative Study of Women Learning to Teach Mathematics

ERIC Educational Resources Information Center

Stoehr, Kathleen Jablon

2014-01-01

My dissertation research explored the experiences of mathematics anxieties in women elementary preservice teachers while learning mathematics as K-12 students and while learning to teach mathematics. Previous studies conducted in mathematics teacher education have emphasized the importance of preservice teachers' mathematical knowledge for…
Mathematical Practices in a Learning Environment Designed by Realistic Mathematics Education: Teaching Experiment about Cone and Pyramid

ERIC Educational Resources Information Center

Özdemir, Burçin Gökkurt

2017-01-01

The purpose of the study is to identify the classroom mathematical practices developed within a learning environment designed by Realistic Mathematics Education for teaching cone and pyramid to preservice teachers. A teaching experiment including five-week instructional sequence by a hypothetical learning trajectory about the solids of cone and…
The Language of Mathematics: The Importance of Teaching and Learning Mathematical Vocabulary

ERIC Educational Resources Information Center

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

2015-01-01

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

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Wood, Leigh N.; Vu, Tori; Bower, Matt; Brown, Natalie; Skalicky, Jane; Donovan, Diane; Loch, Birgit; Joshi, Nalini; Bloom, Walter

2011-10-01

Due to the changing nature of learning and teaching in universities, there is a growing need for professional development for lecturers and tutors teaching in disciplines in the mathematical sciences. Mathematics teaching staff receive some training in learning and teaching but many of the courses running at university level are not tailored to the mathematical sciences. This article reports on a collaborative research project aimed at investigating the type of professional development that Australian tertiary mathematics teachers need and their preference for delivery modes. Effective teaching promotes effective learning in our students and discipline-specific professional development will enhance outcomes for teachers, students, and mathematics.
Development of Contextual Mathematics teaching Material integrated related sciences and realistic for students grade xi senior high school

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Helma, H.; Mirna, M.; Edizon, E.

2018-04-01

Mathematics is often applied in physics, chemistry, economics, engineering, and others. Besides that, mathematics is also used in everyday life. Learning mathematics in school should be associated with other sciences and everyday life. In this way, the learning of mathematics is more realstic, interesting, and meaningful. Needs analysis shows that required contextual mathematics teaching materials integrated related sciences and realistic on learning mathematics. The purpose of research is to produce a valid and practical contextual mathematics teaching material integrated related sciences and realistic. This research is development research. The result of this research is a valid and practical contextual mathematics teaching material integrated related sciences and realistic produced
Perception of mathematics teachers on cooperative learning method in the 21st century

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Taufik, Nurshahira Alwani Mohd; Maat, Siti Mistima

2017-05-01

Mathematics education is one of the branches to be mastered by students to help them compete with the upcoming challenges that are very challenging. As such, all parties should work together to help increase student achievement in Mathematics education in line with the Malaysian Education Blueprint (MEB) 2010-2025. Teaching methods play a very important role in attracting and fostering student understanding and interested in learning Mathematics. Therefore, this study was conducted to identify the perceptions of teachers in carrying out cooperative methods in the teaching and learning of mathematics. Participants of this study involving 4 teachers who teach Mathematics in primary schools around the state of Negeri Sembilan. Interviews are used as a method for gathering data. The findings indicate that cooperative methods help increasing interest and understanding in the teaching and learning of mathematics. In conclusion, the teaching methods affect the interest and understanding of students in the learning of Mathematics in the classroom.
Searching for evidence of curricular effect on the teaching and learning of mathematics: some insights from the LieCal project

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Cai, Jinfa

2014-12-01

Drawing on evidence from the Longitudinal Investigation of the Effect of Curriculum on Algebra Learning (LieCal) Project, issues related to mathematics curriculum reform and student learning are discussed. The LieCal Project was designed to longitudinally investigate the impact of a reform mathematics curriculum called the Connected Mathematics Project (CMP) in the USA on teachers' teaching and students' learning. Using a three-level conceptualization of curriculum (intended, implemented, and attained), a variety of evidence from the LieCal Project is presented to show the impact of mathematics curriculum reform on teachers' teaching and students' learning. This paper synthesizes findings from the two longitudinal studies spanning 7 years of the LieCal Project both to show the kind of impact curriculum has on teachers' teaching and students' learning and to suggest powerful but feasible ways researchers can investigate curriculum effect on both teaching and learning.
The impact of mathematical models of teaching materials on square and rectangle concepts to improve students' mathematical connection ability and mathematical disposition in middle school

NASA Astrophysics Data System (ADS)

Afrizal, Irfan Mufti; Dachlan, Jarnawi Afghani

2017-05-01

The aim of this study was to determine design of mathematical models of teaching materials to improve students' mathematical connection ability and mathematical disposition in middle school through experimental studies. The design in this study was quasi-experimental with non-equivalent control group type. This study consisted of two phases, the first phase was identify students' learning obstacle on square and rectangle concepts to obtain the appropriate design of teaching materials, beside that there were internalization of the values or characters expected to appear on students through the teaching materials. Second phase was experiments on the effectiveness and efficiency of mathematical models of teaching materials to improve students' mathematical connection ability and mathematical disposition. The result of this study are 1) Students' learning obstacle that have identified was categorized as an epistemological obstacle. 2) The improvement of students' mathematical connection ability and mathematical disposition who used mathematical teaching materials is better than the students who used conventional learning.
Teaching and Learning Primary Mathematics in Singapore.

ERIC Educational Resources Information Center

Seng, SeokHoon

Noting that current views of mathematical learning and teaching focus on the child as a responsible student who attends to instruction and who constructs what is taught in a personal and meaningful way, this paper examines scaffolding and mediation strategies and describes the learning and teaching of elementary school level mathematics in…
Equitable Mathematics Teaching and Learning in Practice: Exploring Students' Negotiations of Identity and Power

ERIC Educational Resources Information Center

Harper, Frances Kay

2017-01-01

This dissertation builds on and extends research on the relationship between equity-minded mathematics teaching, specifically teaching mathematics for social justice, complex instruction, and project-based learning, and students' learning and identity development. Although different in their structures and strategies, equity-minded mathematics…
Experiencing teaching and learning quantitative reasoning in a project-based context

NASA Astrophysics Data System (ADS)

Muir, Tracey; Beswick, Kim; Callingham, Rosemary; Jade, Katara

2016-12-01

This paper presents the findings of a small-scale study that investigated the issues and challenges of teaching and learning about quantitative reasoning (QR) within a project-based learning (PjBL) context. Students and teachers were surveyed and interviewed about their experiences of learning and teaching QR in that context in contrast to teaching and learning mathematics in more traditional settings. The grade 9-12 student participants were characterised by a history of disengagement with mathematics and school in general, and the teacher participants were non-mathematics specialist teachers. Both students and teachers were new to the PjBL situation, which resulted in the teaching/learning relationship being a reciprocal one. The findings indicated that students and teachers viewed QR positively, particularly when compared with traditional mathematics teaching, yet tensions were identified for aspects such as implementation of curriculum and integration of relevant mathematics into projects. Both sets of participants identified situations where learning QR was particularly successful, along with concerns or difficulties about integrating QR into project work. The findings have implications for educators, who may need to examine their own approaches to mathematics teaching, particularly in terms of facilitating student engagement with the subject.
Report from the NSF/SSMA Wingspread Conference: A Network for Integrated Science and Mathematics Teaching and Learning.

ERIC Educational Resources Information Center

Berlin, Donna F.; White, Arthur L.

1992-01-01

Reports the proceedings of the Wingspread conference on integrating science and mathematics teaching and learning. Discusses (1) a literature review on integration of science and mathematics education; (2) development of definitions of integration; (3) specification of guidelines for infusing integrated teaching and learning into science and…
Relationships between school support, school facilities, ICT culture and mathematics teachers' attitudes towards ICT in teaching and learning

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Ayub, Ahmad Fauzi Mohd; Bakar, Kamariah Abu; Ismail, Rohayati

2012-05-01

Information communication Technology (ICT) has been a major influence in the Malaysian Education System, especially in the teaching of mathematics. Since 2003, the Malaysian Ministry of Education has provided incentives to mathematics teacher to motivate them to use ICT using English as the medium of instruction, during the teaching and learning process. However, there are barriers that prevented mathematics teachers from using ICT in the classrooms. This study is to determine factors that influenced the attitudes of Malaysian Mathematic Teachers in integrating ICT in their teaching and learning. One hundred ninety one mathematics teachers were randomly selected for the purpose of this study. The three factors investigated were school support, school facilities and school culture which had been selected to be correlated with teachers' attitudes towards integrating ICT in the teaching and learning of mathematics. Findings showed that significant positive relationships existed between teachers' attitudes toward integrating ICT in the teaching and learning and school support, school facilities and ICT culture and This finding indicated that, in order to develop teachers' attitudes in using ICT during their teaching and learning process, they needed support from the school principals and also their colleagues. Apart from that, school facilities and also ICT culture were also found to be essential.
Comparison of learning models based on mathematics logical intelligence in affective domain

NASA Astrophysics Data System (ADS)

Widayanto, Arif; Pratiwi, Hasih; Mardiyana

2018-04-01

The purpose of this study was to examine the presence or absence of different effects of multiple treatments (used learning models and logical-mathematical intelligence) on the dependent variable (affective domain of mathematics). This research was quasi experimental using 3x3 of factorial design. The population of this research was VIII grade students of junior high school in Karanganyar under the academic year 2017/2018. Data collected in this research was analyzed by two ways analysis of variance with unequal cells using 5% of significance level. The result of the research were as follows: (1) Teaching and learning with model TS lead to better achievement in affective domain than QSH, teaching and learning with model QSH lead to better achievement in affective domain than using DI; (2) Students with high mathematics logical intelligence have better achievement in affective domain than students with low mathematics logical intelligence have; (3) In teaching and learning mathematics using learning model TS, students with moderate mathematics logical intelligence have better achievement in affective domain than using DI; and (4) In teaching and learning mathematics using learning model TS, students with low mathematics logical intelligence have better achievement in affective domain than using QSH and DI.
Dilemma in Teaching Mathematics

ERIC Educational Resources Information Center

Md Kamaruddin, Nafisah Kamariah; Md Amin, Zulkarnain

2012-01-01

The challenge in mathematics education is finding the best way to teach mathematics. When students learn the reasoning and proving in mathematics, they will be proficient in mathematics. Students must know mathematics before they can apply it. Symbolism and logic is the key to both the learning of mathematics and its effective application to…
Learning to Teach Mathematics Specialists in a Synchronous Online Course: A Self-Study

ERIC Educational Resources Information Center

Hjalmarson, Margret A.

2017-01-01

This article uses a self-study research methodology to explore teaching an online course for mathematics specialists. The course included weekly videoconferencing sessions and focused on supporting their development as mathematics coaches working with K-8 teachers to enhance mathematics teaching and learning. The central question for the…
The Integration of technology in teaching mathematics

NASA Astrophysics Data System (ADS)

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

2017-12-01

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

Teaching Secondary Mathematics with ICT. Learning & Teaching with ICT

ERIC Educational Resources Information Center

Johnston-Wilder, Sue; Pimm, David

2004-01-01

This book shows the reader how to use Information and Communication Technology (ICT) effectively to enhance the teaching of mathematics in the secondary school. It explains which forms of technology can be used to improve mathematics teaching and learning, how to get started and where to go for further information. The book includes practical…
Re-Envisaging the Teaching of Mathematics: One Student Teacher's Experience Learning to Teach Primary Mathematics in a Manner Congruent with the New Zealand Curriculum

ERIC Educational Resources Information Center

Bailey, Judy

2013-01-01

Teacher education can provide opportunities for contributing towards a re-envisaging of the teaching and learning of mathematics in the primary classroom. This study documents the experiences of one student teacher who, during her mathematics education courses, embraced a perception of mathematics as a social, creative and experiential discipline.…
Learning by Preparing to Teach: Fostering Self-Regulatory Processes and Achievement during Complex Mathematics Problem Solving

ERIC Educational Resources Information Center

Muis, Krista R.; Psaradellis, Cynthia; Chevrier, Marianne; Di Leo, Ivana; Lajoie, Susanne P.

2016-01-01

We developed an intervention based on the learning by teaching paradigm to foster self-regulatory processes and better learning outcomes during complex mathematics problem solving in a technology-rich learning environment. Seventy-eight elementary students were randomly assigned to 1 of 2 conditions: learning by preparing to teach, or learning for…
Improving the basic skills of teaching mathematics through learning with search-solve-create-share strategy

NASA Astrophysics Data System (ADS)

Rahayu, D. V.; Kusumah, Y. S.; Darhim

2018-05-01

This study examined to see the improvement of prospective teachers’ basic skills of teaching mathematics through search-solve-create-share learning strategy based on overall and Mathematical Prior Knowledge (MPK) and interaction of both. Quasi experiments with the design of this experimental-non-equivalent control group design involved 67 students at the mathematics program of STKIP Garut. The instrument used in this study included pre-test and post-test. The result of this study showed that: (1) The improvement and achievement of the basic skills of teaching mathematics of the prospective teachers who get the learning of search-solve-create-share strategy is better than the improvement and achievement of the prospective teachers who get the conventional learning as a whole and based on MPK; (2) There is no interaction between the learning used and MPK on improving and achieving basic skills of teaching mathematics.
Teaching and Learning Issues in Mathematics in the Context of Nepal

ERIC Educational Resources Information Center

Panthi, Ram Krishna; Belbase, Shashidhar

2017-01-01

In this paper, we discussed major issues of mathematics teaching and learning in Nepal. The issues coming from theories such as social and radical constructivism suggest that teachers are not trained to use such approach in teaching mathematics, and there is a lack of teaching aids and materials and technological tools. The issues related to…
An Overview of the Scholarship of Teaching and Learning in Mathematics

ERIC Educational Resources Information Center

Bennett, Curtis D.; Dewar, Jacqueline M.

2012-01-01

This article provides an overview of the scholarship of teaching and learning (SoTL) in mathematics. It describes the origins of SoTL in higher education and distinguishes SoTL from good teaching, scholarly teaching, and mathematics education research. It includes a widely adopted taxonomy of SoTL questions and presents several examples of SoTL…
Strategies to Support Students' Mathematical Modeling

ERIC Educational Resources Information Center

Jung, Hyunyi

2015-01-01

An important question for mathematics teachers is this: "How can we help students learn mathematics to solve everyday problems, rather than teaching them only to memorize rules and practice mathematical procedures?" Teaching students using modeling activities can help them learn mathematics in real-world problem-solving situations that…
Mexican High School Students' Social Representations of Mathematics, Its Teaching and Learning

ERIC Educational Resources Information Center

Martínez-Sierra, Gustavo; Miranda-Tirado, Marisa

2015-01-01

This paper reports a qualitative research that identifies Mexican high school students' social representations of mathematics. For this purpose, the social representations of "mathematics", "learning mathematics" and "teaching mathematics" were identified in a group of 50 students. Focus group interviews were carried…
Using History to Teach Mathematics: The Case of Logarithms

ERIC Educational Resources Information Center

Panagiotou, Evangelos N.

2011-01-01

Many authors have discussed the question "why" we should use the history of mathematics to mathematics education. For example, Fauvel ("For Learn Math," 11(2): 3-6, 1991) mentions at least fifteen arguments for applying the history of mathematics in teaching and learning mathematics. Knowing "how" to introduce history into mathematics lessons is a…
The Multicultural Mathematics Classroom: Culturally Aware Teaching through Cooperative Learning & Multiple Representations

ERIC Educational Resources Information Center

Jao, Limin

2012-01-01

The National Council of Teachers of Mathematics (NCTM, 2000) has created a set of standards to reform mathematics teaching procedures to ensure that all students understand mathematics and learn to think mathematically. The standards also require teachers to use strategies that allow all students to reason and communicate mathematically and…
Design and Development Computer-Based E-Learning Teaching Material for Improving Mathematical Understanding Ability and Spatial Sense of Junior High School Students

NASA Astrophysics Data System (ADS)

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

2017-02-01

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

NASA Astrophysics Data System (ADS)

Priatna, N.; Martadiputra, B. A. P.; Wibisono, Y.

2018-05-01

The development of science and technology requires reform in the utilization of various resources for mathematics teaching and learning process. One of the efforts that can be made is the implementation of GeoGebra-assisted Reciprocal Teaching strategy in mathematics instruction as an effective strategy in improving students’ cognitive, affective, and psychomotor abilities. This research is intended to implement GeoGebra-assisted Reciprocal Teaching strategy in improving abstraction ability, lateral thinking, and mathematical persistence of junior high school students. It employed quasi-experimental method with non-random pre-test and post-test control design. More specifically, it used the 2x3 factorial design, namely the learning factors that included GeoGebra-assisted Reciprocal Teaching and conventional teaching learning, and levels of early mathematical ability (high, middle, and low). The subjects in this research were the eighth grade students of junior high school, taken with purposive sampling. The results of this research show: Abstraction and lateral abilities of students who were taught with GeoGebra-assisted Reciprocal Teaching strategy were significantly higher than those of students who received conventional learning. Mathematical persistence of students taught with GeoGebra-assisted Reciprocal Teaching strategy was also significantly higher than of those taught with conventional learning.
Examining Teaching Based on Errors in Mathematics Amongst Pupils with Learning Disabilities

ERIC Educational Resources Information Center

Magen-Nagar, Noga

2016-01-01

Teaching mathematics while learning from students' mistakes, errors and misconceptions, is most important for meaningful learning. This study was based on intervention programs prepared by preservice teachers. It aimed to examine their knowledge of assessment of errors in mathematics amongst pupils with learning disabilities, and their use as a…
A Modified Moore Approach to Teaching Mathematical Statistics: An Inquiry Based Learning Technique to Teaching Mathematical Statistics

ERIC Educational Resources Information Center

McLoughlin, M. Padraig M. M.

2008-01-01

The author of this paper submits the thesis that learning requires doing; only through inquiry is learning achieved, and hence this paper proposes a programme of use of a modified Moore method in a Probability and Mathematical Statistics (PAMS) course sequence to teach students PAMS. Furthermore, the author of this paper opines that set theory…
Teaching and Learning Mathematics in the 1990s: 1990 Yearbook.

ERIC Educational Resources Information Center

Cooney, Thomas J., Ed.; Hirsch, Christian R., Ed.

This yearbook includes 28 articles related to teachers and students of mathematics education and their changing roles. Part 1, "New Perspectives on Teaching and Learning," focuses on the relationship between research and practice and suggests a perspective based on the belief that mathematical learning consists of students constructing…
Teaching and Learning Mathematics: Translating Research for Elementary School Teachers

ERIC Educational Resources Information Center

Lester, Frank

2010-01-01

How can teachers learn what they need to know? Every community of educators, regardless of field or specialization, can benefit from being well informed about current research findings. A considerable amount of mathematics education research exists to inform teachers and administrators about teaching and learning mathematics. Research can show…
Teaching and Learning Mathematics: Translating Research for Secondary School Teachers

ERIC Educational Resources Information Center

Lester, Frank

2010-01-01

How can teachers learn what they need to know? Every community of educators, regardless of field or specialization, can benefit from being well informed about current research findings. A considerable amount of mathematics education research exists to inform teachers and administrators about teaching and learning mathematics. Research can show…
What Are We Afraid of? Arguments against Teaching Mathematics with Technology in the Professional Publications of Organisations for US Mathematicians

ERIC Educational Resources Information Center

Risser, Hilary Smith

2011-01-01

More than twenty years after the introduction of the first handheld graphing calculator the mathematics community appears to still be struggling with the use of technology in the teaching and learning of mathematics. One major venue for arguments against technology use in the teaching and learning of mathematics is the news magazines of…
What Software to Use in the Teaching of Mathematical Subjects?

ERIC Educational Resources Information Center

Berežný, Štefan

2015-01-01

We can consider two basic views, when using mathematical software in the teaching of mathematical subjects. First: How to learn to use specific software for the specific tasks, e. g., software Statistica for the subjects of Applied statistics, probability and mathematical statistics, or financial mathematics. Second: How to learn to use the…
Task Modification and Knowledge Utilization by Korean Prospective Mathematics Teachers

ERIC Educational Resources Information Center

Lee, Kyeong-Hwa; Lee, Eun-Jung; Park, Min-Sun

2016-01-01

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…

Working for Learning: Teaching Assistants Developing Mathematics for Teaching

ERIC Educational Resources Information Center

Drake, Pat

2009-01-01

This article derives from a case study of 10 secondary school teaching assistants (TAs) who did not have conventional pre-qualifications in mathematics but who undertook an honours degree in mathematics education studies at a Higher Education Institution in England whilst continuing to work as TAs in school. Work-based learning was thus undertaken…
An Investigation of Teaching Strategy in the Distance Learning Mathematics Classroom

ERIC Educational Resources Information Center

DePriter, Tiffany

2013-01-01

Distance learning has become increasingly popular among higher learning institutions, and more academic disciplines, such as mathematics, are now being offered at a distance. This experimental study investigated whether an objectivist-based teaching strategy or a constructivist-based teaching strategy yields greater achievement scores for adult…
Mathematics Teaching Today

ERIC Educational Resources Information Center

Martin, Tami S.; Speer, William R.

2009-01-01

This article describes features, consistent messages, and new components of "Mathematics Teaching Today: Improving Practice, Improving Student Learning" (NCTM 2007), an updated edition of "Professional Standards for Teaching Mathematics" (NCTM 1991). The new book describes aspects of high-quality mathematics teaching; offers a model for observing,…
Impact of the Course Teaching and Learning of Mathematics on Preservice Grades 7 and 8 Mathematics Teachers in Singapore

ERIC Educational Resources Information Center

Kaur, Berinderjeet

2017-01-01

This paper explores the impact of the course "Teaching and Learning of Mathematics (Grades 7 and 8)" for the preparation of pre-service secondary mathematics teachers. It examines how pre-service teachers perceived mathematical problem solving and communicating mathematical knowledge before and after the course. The main objective of the…
Mirror, Mirror

ERIC Educational Resources Information Center

Fuentes, Sarah Quebec

2015-01-01

NCTM's "Principles to Actions: Ensuring Mathematical Success for All" (2014), outlines eight teaching practices for effective teaching and learning mathematics. One of them, facilitate meaningful mathematical discourse, states, "Effective teaching of mathematics facilitates discourse among students to build shared understanding of…
Mathematical Knowledge for Teaching, Standards-Based Mathematics Teaching Practices, and Student Achievement in the Context of the "Responsive Classroom Approach"

ERIC Educational Resources Information Center

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

2015-01-01

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

ERIC Educational Resources Information Center

Lim, Kien H.; Buendia, Gabriela; Kim, Ok-Kyeong; Cordero, Francisco; Kasmer, Lisa

2010-01-01

The prevalence of prediction in grade-level expectations in mathematics curriculum standards signifies the importance of the role prediction plays in the teaching and learning of mathematics. In this article, we discuss benefits of using prediction in mathematics classrooms: (1) students' prediction can reveal their conceptions, (2) prediction…
Developing Teaching Material Software Assisted for Numerical Methods

NASA Astrophysics Data System (ADS)

Handayani, A. D.; Herman, T.; Fatimah, S.

2017-09-01

The NCTM vision shows the importance of two things in school mathematics, which is knowing the mathematics of the 21st century and the need to continue to improve mathematics education to answer the challenges of a changing world. One of the competencies associated with the great challenges of the 21st century is the use of help and tools (including IT), such as: knowing the existence of various tools for mathematical activity. One of the significant challenges in mathematical learning is how to teach students about abstract concepts. In this case, technology in the form of mathematics learning software can be used more widely to embed the abstract concept in mathematics. In mathematics learning, the use of mathematical software can make high level math activity become easier accepted by student. Technology can strengthen student learning by delivering numerical, graphic, and symbolic content without spending the time to calculate complex computing problems manually. The purpose of this research is to design and develop teaching materials software assisted for numerical method. The process of developing the teaching material starts from the defining step, the process of designing the learning material developed based on information obtained from the step of early analysis, learners, materials, tasks that support then done the design step or design, then the last step is the development step. The development of teaching materials software assisted for numerical methods is valid in content. While validator assessment for teaching material in numerical methods is good and can be used with little revision.
Learning and Teaching Early Math: The Learning Trajectories Approach, 2nd Edition. Studies in Mathematical Thinking and Learning Series

ERIC Educational Resources Information Center

Clements, Douglas H.; Sarama, Julie

2014-01-01

In this important book for pre- and in-service teachers, early math experts Douglas Clements and Julie Sarama show how "learning trajectories" help diagnose a child's level of mathematical understanding and provide guidance for teaching. By focusing on the inherent delight and curiosity behind young children's mathematical reasoning,…
Examining Change in K-3 Teachers' Mathematical Knowledge, Attitudes, and Beliefs: The Case of Primarily Math

ERIC Educational Resources Information Center

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

2018-01-01

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

ERIC Educational Resources Information Center

Ernest, Paul

2016-01-01

Mathematics education is a complex, multi-disciplinary field of study which treats a wide range of diverse but interrelated areas. These include the nature of mathematics, the learning of mathematics, its teaching, and the social context surrounding both the discipline and applications of mathematics itself, as well as its teaching and learning.…
Math Is More than Numbers: Beginning Bilingual Teachers' Mathematics Teaching Practices and Their Opportunities to Learn

ERIC Educational Resources Information Center

Yeh, Cathery

2017-01-01

In this article, the author provides results from a 3-year, longitudinal study that examined two novice bilingual teachers' mathematics teaching practices and their professional opportunities to learn to teach. Primary data sources included videotaped mathematics lessons, teacher interviews, and field notes of their teacher preparation methods…
A Case Study of Effective Practice in Mathematics Teaching and Learning Informed by Valsiner's Zone Theory

ERIC Educational Resources Information Center

Geiger, Vince; Anderson, Judy; Hurrell, Derek

2017-01-01

The characteristics that typify an effective teacher of mathematics and the environments that support effective teaching practices have been a long-term focus of educational research. In this article we report on an aspect of a larger study that investigated "best practice" in mathematics teaching and learning across all Australian…
Bilingual Teaching Research and Practice of Complex Function Theory

ERIC Educational Resources Information Center

Ma, Lixin

2011-01-01

Mathematics bilingual teaching is assisted in Chinese with English teaching, and gradually enables students to independently use English to learn, study, reflect and exchange Mathematics. In order to better carry out mathematics teaching, department of mathematics in Dezhou University forms discussion groups and launches bilingual teaching…
Mathematics Student Teachers' Epistemological Beliefs about the Nature of Mathematics and the Goals of Mathematics Teaching and Learning in the Beginning of Their Studies

ERIC Educational Resources Information Center

Viholainen, Antti; Asikainen, Mervi; Hirvonen, Pekka E.

2014-01-01

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…
Growing of the mathematical thinking imaginative to students in designing of the teaching aids for CWD towards to joyful learning

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Sugiman; Sugiharti, E.; Kurniawati, N. F.

2018-03-01

Government and the private parties had also organized of Special School (SS) and Inclusive School. SS requires of math teachers who were professional in the material, but also master the needs of Children with Disabilities (CwD) in teaching-learning process. The problem: How to design the Teaching Aids for CwD through Extra-Curriculum Training (ECT) activities to Joyful Learning? The purposes of this research: (1) To find new ways how to grow the imaginative in mathematical thinking for students of Mathematics Education. (2) To find a Teaching Aids Design that suitable for CwD who studying in SS. (3) In order to create a Teaching Aids for CwD through activities based on ECT to Joyful Learning. The research method was done by qualitative approach. The research subjects were 6 students of Mathematics Education Study Program of FMIPA UNNES who were interested in attending of the training activities based on ECT. The results: (1) ECT can be a place to grow an Imaginative in Mathematical Thinking of students, (2) created the design of the teaching aids for CwD through activities based on ECT to Joyful Learning as a mirror of the imaginative growth in mathematical thinking for students.
Thinking and Content Learning of Mathematics and Science as Cognitional Development in Content and Language Integrated Learning (CLIL): Teaching Through a Foreign Language in Finland

ERIC Educational Resources Information Center

Jappinen, Aini-Kristiina

2005-01-01

This paper presents a study on thinking and learning processes of mathematics and science in teaching through a foreign language, in Finland. The entity of thinking and content learning processes is, in this study, considered as cognitional development. Teaching through a foreign language is here called Content and Language Integrated Learning or…
Effects of Mathematics Integration in a Teaching Methods Course on Self-Efficacy of Preservice Agricultural Education Teachers

ERIC Educational Resources Information Center

Stripling, Christopher T.; Roberts, T. Grady

2013-01-01

Teachers who are efficacious persevere through challenges in the learning environment and put forth more effort in designing learning activities. The purpose of this study was to determine the effects of mathematics teaching and integration strategies (MTIS) on preservice agricultural teachers' personal mathematics efficacy, mathematics teaching…
Addressing Challenges in Urban Teaching, Learning and Math Using Model-Strategy-Application with Reasoning Approach in Lingustically and Culturally Diverse Classrooms

ERIC Educational Resources Information Center

Wu, Zhonghe; An, Shuhua

2016-01-01

This study examined the effects of using the Model-Strategy-Application with Reasoning Approach (MSAR) in teaching and learning mathematics in linguistically and culturally diverse elementary classrooms. Through learning mathematics via the MSAR, students from different language ability groups gained an understanding of mathematics from creating…
Pre-Service Teachers' Cognitive Competencies to Use the Approaches in Mathematics Teaching: Discovery Learning

ERIC Educational Resources Information Center

Yilmaz, Rezan

2014-01-01

This study aims to present the cognitive competences of the pre-service teacher about discovery learning approach in mathematical education. The study was conducted with 37 mathematics pre-service teachers who study Special Teaching Methods lesson in a state university in Turkey. Throughout the lesson, the approaches used in learning were examined…

Party Time

ERIC Educational Resources Information Center

Fuentes, Sarah Quebec; Quebec, Rachael

2016-01-01

"Ensuring Mathematical Success for All" (NCTM 2010) outlines eight teaching practices for effective teaching and learning of mathematics. One of the teaching practices, building procedural fluency from conceptual understanding, states the following: Effective teaching of mathematics builds fluency with procedures on a foundation of…
Teaching Mathematics Bilingually for Kindergarten Students with Teaching Aids Based on Local Wisdom

ERIC Educational Resources Information Center

Ambarini, Ririn; Setyaji, Arso; Suneki, Sri

2018-01-01

Language and Mathematics are both skills and knowledge that need to master well so that it can be the provision for students' future life when mingling with the community or society. Because of that the integration of teaching both language and Mathematics in bilingual Math learning will give many benefits to the students. They will learn not only…
Mathematics Teachers' Learning: A Conceptual Framework and Synthesis of Research

ERIC Educational Resources Information Center

Goldsmith, Lynn T.; Doerr, Helen M.; Lewis, Catherine C.

2014-01-01

How do practicing mathematics teachers continue to develop the knowledge and habits of mind that enable them to teach well and to improve their teaching over time? The question of how (and what) teachers learn lies at the crux of any effort to provide high-quality mathematics teaching for all students. This article reviews 106 articles written…
Learning to teach upper primary school algebra: changes to teachers' mathematical knowledge for teaching functional thinking

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Wilkie, Karina J.

2016-06-01

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

ERIC Educational Resources Information Center

Borovik, Alexandre

2011-01-01

Although mathematicians frequently use specialist software in direct teaching of mathematics, as a means of delivery e-learning technologies have so far been less widely used. We (mathematicians) insist that teaching methods should be subject-specific and content-driven, not delivery-driven. We oppose generic approaches to teaching, including…
Sharing a Birthday Cake

ERIC Educational Resources Information Center

Switzer, J. Matt

2016-01-01

National Council of Teachers of Mathematics' (NCTM's) "Principles to Actions: Ensuring Mathematical Success for All" outlines eight teaching practices for effective teaching and learning of mathematics (NCTM 2014). One of the teaching practices, "elicit and use evidence of student thinking," states, "Effective teaching of…
Mathematics in the lower primary years: A research-based perspective on curricula and teaching practice

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Wright, Bob

1994-07-01

Drawing on current research the author explicates twelve assertions relating to curricula, teaching, learners and learning environments in lower primary school mathematics. Topics discussed include: unchanging and under-challenging curricula; the need for greater emphasis on developing children's verbal number strategies and number sense, and on activities specifically suited to prenumerical children; curriculum constraints on teachers; the role of problem solving and differing interpretations of problem solving; the need for a better understanding of how children learn mathematics; differences in children's knowledge; "anti-interventionism," discovery learning, constructivism, children's autonomy and developmental learning; the need for compensatory programs; and learning in collaborative settings. The author concludes that learning and teaching lower primary mathematics continues to be an important area of focus and challenge for teachers and researchers.
Power, Identity, and Mathematical Practices Outside and Inside School

ERIC Educational Resources Information Center

Nasir, Na'ilah Suad; de Royston, Maxine McKinney

2013-01-01

How issues of power and identity play out in mathematical practices are described by Na'ilah Suad Nasir and Maxine McKinney de Royston. Their article offers a perspective on how to better understand the sociopolitical nature of teaching and learning mathematics. They present data from studies of mathematics teaching and learning in out-of-school…
Autonomy, Beliefs and the Learning of Elementary Mathematics Teachers

ERIC Educational Resources Information Center

Warfield, J.; Wood, T.; Lehman, J.D.

2005-01-01

Seven elementary teachers participated in a project designed to help them learn to teach mathematics according to reform recommendations. Teachers were provided opportunities to learn through both private reflection and public inquiry about their teaching and children's learning. The teachers' instruction, reflection, and beliefs were studied. All…
Knowing and Learning Mathematics for Teaching: Proceedings of a Workshop (March 19-21, 1999).

ERIC Educational Resources Information Center

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

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

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

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

ERIC Educational Resources Information Center

Ozgun-Koca, S. Asli

2009-01-01

Handheld graphing technologies have fundamentally been utilized in the teaching and learning of many secondary school and college mathematics concepts. In order to observe the effects of these new kinds of technologies on students' learning of mathematics, their teachers need to decide whether it is reasonable to do, learn, and teach mathematics…
How the Relational Paradigm Can Transform the Teaching and Learning of Mathematics: Experiment in Quebec

ERIC Educational Resources Information Center

Polotskaia, Elena

2017-01-01

The main goal of this paper is to show how Vasily Davydov's powerful ideas about the nature of mathematical thinking and learning can transform the teaching and learning of additive word problem solving. The name Vasily Davydov is well known in the field of mathematics education in Russia. However, the transformative value of Davydov's theoretical…
Preservice Teachers' Learning to Generate Evidence-Based Hypotheses about the Impact of Mathematics Teaching on Learning

ERIC Educational Resources Information Center

Yeh, Cathery; Santagata, Rossella

2015-01-01

This study examines the development of a specific sub-skill for studying and improving teaching--the generation of hypotheses about the effects of teaching on student learning. Two groups of elementary preservice teachers (PSTs) were compared: one group that attended a typical mathematics-methods course and one that attended a course integrating…
The Locker Problem: An Open and Shut Case

ERIC Educational Resources Information Center

Kimani, Patrick M.; Olanoff, Dana; Masingila, Joanna O.

2016-01-01

This article discusses how teaching via problem solving helps enact the Mathematics Teaching Practices and supports students' learning and development of the Standards for Mathematical Practice. This approach involves selecting and implementing mathematical tasks that serve as vehicles for meeting the learning goals for the lesson. For the lesson…
A Mathematics Educator's Introduction to Rural Policy Issues

ERIC Educational Resources Information Center

Waters, Michael S., Ed.

2005-01-01

Most of the scholarship and commentary on mathematics education deals with issues of curriculum and instruction; this is understandable in a field logically belonging to the domain of curriculum and instruction. Moreover, issues of teaching and learning are compelling to people who love to learn and teach mathematics. Policy receives shorter…
Utilizing Microsoft Mathematics in Teaching and Learning Calculus

ERIC Educational Resources Information Center

Oktaviyanthi, Rina; Supriani, Yani

2015-01-01

The experimental design was conducted to investigate the use of Microsoft Mathematics, free software made by Microsoft Corporation, in teaching and learning Calculus. This paper reports results from experimental study details on implementation of Microsoft Mathematics in Calculus, students' achievement and the effects of the use of Microsoft…
Experimental Design: Utilizing Microsoft Mathematics in Teaching and Learning Calculus

ERIC Educational Resources Information Center

Oktaviyanthi, Rina; Supriani, Yani

2015-01-01

The experimental design was conducted to investigate the use of Microsoft Mathematics, free software made by Microsoft Corporation, in teaching and learning Calculus. This paper reports results from experimental study details on implementation of Microsoft Mathematics in Calculus, students' achievement and the effects of the use of Microsoft…
Influences of Teaching Approaches and Class Size on Undergraduate Mathematical Learning

ERIC Educational Resources Information Center

Olson, Jo Clay; Cooper, Sandy; Lougheed, Tom

2011-01-01

An issue for many mathematics departments is the success rate of precalculus students. In an effort to increase the success rate, this quantitative study investigated how class size and teaching approach influenced student achievement and students' attitudes towards learning mathematics. Students' achievement and their attitudes toward learning…
Preparing Teachers to Lead Mathematics Discussions

ERIC Educational Resources Information Center

Boerst, Timothy A.; Sleep, Laurie; Ball, Deborah Loewenberg; Bass, Hyman

2011-01-01

Background/Context: Discussion is central to mathematics teaching and learning, as well as to mathematics as an academic discipline. Studies have shown that facilitating discussions is complex work that is not easily done or learned. To make such complex aspects of the work of teaching learnable by beginners, recent research has focused on…

Factors Influencing Elementary Mathematics Teachers' Beliefs in Reform-Based Teaching

ERIC Educational Resources Information Center

Sawyer, Amanda Gantt

2017-01-01

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…
Learner and Teacher Perception on Difficulties in Learning and Teaching Mathematics: Some Implications

ERIC Educational Resources Information Center

Abdul Gafoor, K.; Kurukkan, Abidha

2015-01-01

Mathematics holds a relevant and unique place in the school curriculum as it is important for a better living of the individual. But, it is known that most of the students are considering mathematics as difficult. This study examines the difficulties perceived by high school students and teachers in learning and teaching mathematics. Two hundred…
Developing Mathematical Thinking and Self-Regulated Learning: A Teaching Experiment in a Seventh-Grade Mathematics Classroom

ERIC Educational Resources Information Center

Pape, S. J.; Bell, C. V.; Yetkin, IE.

2003-01-01

Mathematics educators have found sociocultural models of teaching and learning to be powerful in their ability to describe and support the pursuit of instruction based on recent standards documents (e.g., National Council of Teachers of Mathematics [NCTM], 1989, 2000). These models of instruction, however, have been criticized for their lack of…
Gender Difference in Teachers' Mathematical Knowledge for Teaching in the Context of Single-Sex Classrooms

ERIC Educational Resources Information Center

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

2016-01-01

This study examines gender differences of teachers on their mathematical knowledge for teaching in the context of single-sex classrooms in Saudi Arabia. A translated version of the Mathematical Knowledge for Teaching (MKT) instrument (Learning Mathematics for Teaching [LMT], 2008) in Number and Operation Content Knowledge (CK) and Knowledge of…
What Primary Students in the Chinese Mainland, Hong Kong and Taiwan Value in Mathematics Learning: A Comparative Analysis

ERIC Educational Resources Information Center

Zhang, Qiaoping; Barkatsas, Tasos; Law, Huk-Yuen; Leu, Yuh-Chyn; Seah, Wee Tiong; Wong, Ngai-Ying

2016-01-01

It has become increasingly recognized that what teachers and students value affect teaching and learning in general and in the area of mathematics in particular. Yet, the extent to which this is so varies across cultural regions. In recent years, how the ethnic Chinese teach and learn mathematics has attracted much attention worldwide. It is…
An Investigative Approach to Teaching Primary Mathematics

ERIC Educational Resources Information Center

Sangster, Margaret

2012-01-01

As with much in life the term "investigative", when used to describe an approach to teaching and learning, can have many interpretations. Some might consider that the term "investigations" is somehow "mired in the past", others might consider "investigations" to be a "credo" that sustains their own mathematics teaching and learning. With…
The Effect of Teaching Model ‘Learning Cycles 5E’ toward Students’ Achievement in Learning Mathematic at X Years Class SMA Negeri 1 Banuhampu 2013/2014 Academic Year

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Yeni, N.; Suryabayu, E. P.; Handayani, T.

2017-02-01

Based on the survey showed that mathematics teacher still dominated in teaching and learning process. The process of learning is centered on the teacher while the students only work based on instructions provided by the teacher without any creativity and activities that stimulate students to explore their potential. Realized the problem above the writer interested in finding the solution by applying teaching model ‘Learning Cycles 5E’. The purpose of his research is to know whether teaching model ‘Learning Cycles 5E’ is better than conventional teaching in teaching mathematic. The type of the research is quasi experiment by Randomized Control test Group Only Design. The population in this research were all X years class students. The sample is chosen randomly after doing normality, homogeneity test and average level of students’ achievement. As the sample of this research was X.7’s class as experiment class used teaching model learning cycles 5E and X.8’s class as control class used conventional teaching. The result showed us that the students achievement in the class that used teaching model ‘Learning Cycles 5E’ is better than the class which did not use the model.
Implementation and outcomes of inquiry-based learning in mathematics content courses for pre-service teachers

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

2016-02-01

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

ERIC Educational Resources Information Center

Crisan, Cosette; Rodd, Melissa

2017-01-01

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'…
"My favourite subject is maths. For some reason no-one really agrees with me": student perspectives of mathematics teaching and learning in the upper primary classroom

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Attard, Catherine

2011-09-01

The levels of engagement in mathematics experienced by students during the middle years of schooling (Years 5 to 8 in New South Wales) has been of concern in Australia for some years. Lowered engagement in school has been attributed to factors such as inappropriate teaching strategies, curricula that is unchallenging and irrelevant, and cultural and technological conditions that continue to evolve (Sullivan et al. Australian Journal of Education 53(2):176-191, 2009). There is currently a gap in this field of research in terms of a lack of longitudinal studies conducted in an Australian context that feature students' voices and their perceptions of mathematics teaching and learning during the middle years. As part of a qualitative longitudinal case study spanning 3 school years, 20 students in their final year of primary school (aged between 11 and 12 years) were asked to provide their views on mathematics teaching and learning. The aim of the study was to explore the students' perspectives of mathematics teaching and learning to discover pedagogies that engage the students. During focus group discussions and individual interviews the students discussed qualities of a "good" mathematics teacher and aspects of "good" lessons. These were found to resonate well with current Australian quality teaching frameworks. The findings of this study indicate that students in the middle years are critically aware of pedagogies that lead to engagement in mathematics, and existing standards and frameworks should be used as a starting point for quality teaching of mathematics.
The Use of GBL to Teach Mathematics in Higher Education

ERIC Educational Resources Information Center

Naik, Nitin

2017-01-01

Innovation in learning and teaching is an everyday requirement in contemporary higher education (HE), especially in challenging subjects such as mathematics. Teaching mathematics to students with limited experience of formal mathematical instruction is a good example of a demanding pedagogical undertaking where innovatory practice can help HE…
Teaching and Learning Mathematics with Technology. 1997 Yearbook.

ERIC Educational Resources Information Center

Blume, Glendon W., Ed.; Heid, M. Kathleen, Ed.

This yearbook focuses on the role of technology in school mathematics. Chapters are replete with classroom-tested ideas for using technology to teach new mathematical ideas and to teach familiar mathematical ideas better. Chapters included: (1) "Using the Graphing Calculator in the Classroom: Helping Students Solve the "Unsolvable" (Eric Milou,…
Coordinating Formal and Informal Aspects of Mathematics in a Computer Based Learning Environment

ERIC Educational Resources Information Center

Skouras, A. S.

2006-01-01

The introduction of educational technology to school classes promises--through the students' active engagement with mathematical concepts--the creation of teaching and learning opportunities in mathematics. However, the way technological tools are used in the teaching practice as a means of human thought and action remains an unsettled matter as…
Status of Mathematics Teaching and Learning in Malaysia

ERIC Educational Resources Information Center

Sam, Hong Kian; Ngiik, Ting Lang; Usop, Hasbee Hj

2009-01-01

This article presents an overview of the education system in Malaysia and highlights some issues pertaining to higher education. In addition, this article also looks at some issues specific to the teaching and learning of mathematics both at school and in the universities. Some data on students' achievements in mathematics examination at public…
Learning to Teach in the Figured World of Reform Mathematics: Negotiating New Models of Identity

ERIC Educational Resources Information Center

Ma, Jasmine Y.; Singer-Gabella, Marcy

2011-01-01

Starting from the assertion that traditional and reform mathematics pedagogy constitute two distinct figured worlds of teaching and learning, the authors explore the initiation of prospective teachers into the figured world of reform mathematics pedagogy. To become successful teachers in reform-oriented classrooms, prospective teachers must learn…
Effects of Teaching Strategies on Student Motivation to Learn in High School Mathematics Classes

ERIC Educational Resources Information Center

Toles, Ann

2010-01-01

To succeed in an increasing technological and global society, students need to develop strong mathematical and problem-solving skills. This qualitative grounded theory study examined student perceptions of the ways in which teaching strategies in high school mathematics classes affect student motivation to learn the subject. Study participants…
Students' Attitudes towards Learning Mathematics: Impact of Teaching in a Sporting Context

ERIC Educational Resources Information Center

Sanchal, Anantika; Sharma, Sashi

2017-01-01

This study investigated the impact on Year 10 students' attitudes towards mathematics when learning mathematics in a sporting context. A closed ended, self-reported questionnaire with Likert type statements was used to collect data. Individual statements were analysed by comparing the percentage of students agreeing or disagreeing pre-teaching and…
A Framework for Authenticity in the Mathematics and Statistics Classroom

ERIC Educational Resources Information Center

Garrett, Lauretta; Huang, Li; Charleton, Maria Calhoun

2016-01-01

Authenticity is a term commonly used in reference to pedagogical and curricular qualities of mathematics teaching and learning, but its use lacks a coherent framework. The work of researchers in engineering education provides such a framework. Authentic qualities of mathematics teaching and learning are fit within a model described by Strobel,…
Quality of Teaching Mathematics and Learning Achievement Gains: Evidence from Primary Schools in Kenya

ERIC Educational Resources Information Center

Ngware, Moses W.; Ciera, James; Musyoka, Peter K.; Oketch, Moses

2015-01-01

This paper examines the contribution of quality mathematics teaching to student achievement gains. Quality of mathematics teaching is assessed through teacher demonstration of the five strands of mathematical proficiency, the level of cognitive task demands, and teacher mathematical knowledge. Data is based on 1907 grade 6 students who sat for the…
Status of Teachers' Proficiency in Mathematical Knowledge for Teaching at Secondary School Level in Kenya

ERIC Educational Resources Information Center

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

2016-01-01

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

Understanding the Problems of Learning Mathematics.

ERIC Educational Resources Information Center

Semilla-Dube, Lilia

1983-01-01

A model is being developed to categorize problems in teaching and learning mathematics. Categories include problems due to language difficulties, lack of prerequisite knowledge, and those related to the affective domain. This paper calls on individuals to share teaching and learning episodes; those submitted will then be compiled and categorized.…
A Can of Coke Leads to a Piece of Pi: A Professional Development Exercise for Educators Is an Adaptable Math Lesson for Many Grades

ERIC Educational Resources Information Center

Burns, Marilyn

2004-01-01

Teaching teachers to become observers and inquirers into mathematics will help change how they teach math to students. Essential to all professional development in mathematics is the idea that making sense of mathematics is key to learning. Just as learning to read calls for bringing meaning to the printed page, learning math calls for bringing…
The analysis of mathematics teachers' learning on algebra function limit material based on teaching experience difference

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Ma'rufi, Budayasa, I. Ketut; Juniati, Dwi

2017-08-01

The aim of this study was to describe the analysis of mathematics teachers' learning on algebra function limit material based on teaching experience difference. The purpose of this study is to describe the analysis of mathematics teacher's learning on limit algebraic functions in terms of the differences of teaching experience. Learning analysis focused on Pedagogical Content Knowledge (PCK) of teachers in mathematics on limit algebraic functions related to the knowledge of pedagogy. PCK of teachers on limit algebraic function is a type of specialized knowledge for teachers on how to teach limit algebraic function that can be understood by students. Subjects are two high school mathematics teacher who has difference of teaching experience they are one Novice Teacher (NP) and one Experienced Teacher (ET). Data are collected through observation of learning in the class, videos of learning, and then analyzed using qualitative analysis. Teacher's knowledge of Pedagogic defined as a knowledge and understanding of teacher about planning and organizing of learning, and application of learning strategy. The research results showed that the Knowledge of Pedagogy on subject NT in mathematics learning on the material of limit function algebra showed that the subject NT tended to describe procedurally, without explaining the reasons why such steps were used, asking questions which tended to be monotonous not be guiding and digging deeper, and less varied in the use of learning strategies while subject ET gave limited guidance and opportunities to the students to find their own answers, exploit the potential of students to answer questions, provide an opportunity for students to interact and work in groups, and subject ET tended to combine conceptual and procedural explanation.
Teaching and Learning Mathematics from Primary Historical Sources

ERIC Educational Resources Information Center

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

2016-01-01

Why would anyone think of teaching and learning mathematics directly from primary historical sources? We aim to answer this question while sharing our own experiences, and those of our students across several decades. We will first describe the evolution of our motivation for teaching with primary sources, and our current view of the advantages…
Mathematical Knowledge for Teaching the Function Concept and Student Learning Outcomes

ERIC Educational Resources Information Center

Hatisaru, Vesife; Erbas, Ayhan Kursat

2017-01-01

The purpose of this study was to examine the potential interrelationships between teachers' mathematical knowledge for teaching (MKT) the function concept and their students' learning outcomes of this concept. Data were collected from two teachers teaching in a vocational high school and their students through a function concept test for teachers…
The role of prediction in the teaching and learning of mathematics

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Lim, Kien H.; Buendía, Gabriela; Kim, Ok-Kyeong; Cordero, Francisco; Kasmer, Lisa

2010-07-01

The prevalence of prediction in grade-level expectations in mathematics curriculum standards signifies the importance of the role prediction plays in the teaching and learning of mathematics. In this article, we discuss benefits of using prediction in mathematics classrooms: (1) students' prediction can reveal their conceptions, (2) prediction plays an important role in reasoning and (3) prediction fosters mathematical learning. To support research on prediction in the context of mathematics education, we present three perspectives on prediction: (1) prediction as a mental act highlights the cognitive aspect and the conceptual basis of one's prediction, (2) prediction as a mathematical activity highlights the spectrum of prediction tasks that are common in mathematics curricula and (3) prediction as a socio-epistemological practice highlights the construction of mathematical knowledge in classrooms. Each perspective supports the claim that prediction when used effectively can foster mathematical learning. Considerations for supporting the use of prediction in mathematics classrooms are offered.
Digital game based learning: A new method in teaching and learning mathematics

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Hussain, Sayed Yusoff bin Syed; Hoe, Tan Wee; Idris, Muhammad Zaffwan bin

2017-05-01

Digital game-based learning (DGBL) had been regarded as a sound learning strategy in raising pupils' willingness and interest in many disciplines. Normally, video and digital games are used in the teaching and learning mathematics. based on literature, digital games have proven its capability in making pupils motivated and are more likely to contribute to effective learning mathematics. Hence this research aims to construct a DGBL in the teaching of Mathematics for Year 1 pupils. Then, a quasi-experimental study was carried out in a school located in Gua Musang, Kelantan, involving 39 pupils. Specifically, this article tests the effectiveness of the use of DGBL in the teaching of the topic Addition of Less than 100 on pupil's achievement. This research employed a quasi-experiment, Pre and Post Test of Non-equivalent Control Group design. The data were analysed using the Nonparametric test namely the Mann-Whitney U. The research finding shows the use of the DGBL could increase the pupils' achievement in the topic of Addition of Less than 100. In practice, this research indicates that the DBGL can utilized as an alternative reference strategy for Mathematics teacher.
Didactital design of mathematics teaching in primary school

NASA Astrophysics Data System (ADS)

Nur’aeni, E.; Muharram, M. R. W.

2018-05-01

The fact that the low ability of geometrical understanding of primary school students is what triggers this study to be conducted. Thus, this research aimed to find out how to create a didactical design of students' mathematical understanding, particularly on one of geometry materials that is unit of length. A qualitative approach promoting Didactical Design Research (DDR) was administered in this study. Participants of the study were primary school students in Tasikmalaya, an city in West Java Province, Indonesia. The results show that there was a learning design based on learning obstacles found in the mathematics teaching and learning processes. The learning obstacles comprised students' difficulties in memorizing, relating, and operating the standards of unit of lengths. It has been proven that the most influential factor in the success of mathematics teaching and learning processes is the use of creative media.
The Use of Cartoons as a Teaching Tool in Middle School Mathematics

ERIC Educational Resources Information Center

Cho, Hoyun

2012-01-01

This dissertation focuses on examining the use of mathematical cartoons as a teaching tool in middle school mathematics classroom. A mixed methods research design was used to answer how the use of cartoon activities affects teacher and student perceptions of teaching and learning and student intrinsic motivation, interest, and mathematics anxiety…
Addressing the Needs of a Developing Nation: Electronic Maps of Mathematical Learning Resources Accessible via the Internet

ERIC Educational Resources Information Center

Fathurrohman, Maman; Porter, Anne

2012-01-01

Teaching and learning of mathematics are integral parts of societies throughout the world. The fundamental or core nature of mathematics, its compulsory acquisition, requires high quality mathematics learning experiences. Moreover it is highly desirable that the emergence of new technology positively influences learning experiences in mathematics.…
Use of Comics to Enhance Students' Learning for the Development of the Twenty-First Century Competencies in the Mathematics Classroom

ERIC Educational Resources Information Center

Toh, Tin Lam; Cheng, Lu Pien; Ho, Siew Yin; Jiang, Heng; Lim, Kam Ming

2017-01-01

This paper discusses the use of comics in teaching mathematics in the secondary mathematics classroom. We explicate how the use of comics in teaching mathematics can prepare students for the twenty-first century competencies. We developed an alternative teaching package using comics for two lower secondary mathematics topics. This alternative…
Rethinking Teaching and Learning Mathematics for Social Justice from a Critical Race Perspective

ERIC Educational Resources Information Center

Larnell, Gregory V.; Bullock, Erika C.; Jett, Christopher C.

2016-01-01

What is teaching and learning mathematics for social justice (TLMSJ)? How has TLMSJ been taken up in mathematics education--both historically and contemporarily? Along with unpacking these two central questions, this article assesses the current capacity and stance of TLMSJ toward addressing issues of racial injustice. The authors begin with an…
Objects, Signs, and Representations in the Semio-Cognitive Analysis of the Processes Involved in Teaching and Learning Mathematics: A Duvalian Perspective

ERIC Educational Resources Information Center

Iori, Maura

2017-01-01

In mathematical activities and in the analysis of mathematics teaching-learning processes, "objects," "signs", and "representations" are often mentioned, where the meaning assigned to those words is sometimes very broad, sometimes limited, other times intuitive, allusive, or not completely clear. On the other hand, as…
Multimedia Environments in Mathematics Teacher Education: Preparing Regular and Special Educators for Inclusive Classrooms

ERIC Educational Resources Information Center

De La Paz, Susan; Hernandez-Ramos, Pedro; Barron, Linda

2004-01-01

A multimedia CD-ROM program, Mathematics Teaching and Learning in Inclusive Classrooms, was produced to help preservice teachers learn mathematics teaching methods in the context of inclusive classrooms. The contents include text resources, video segments of experts and of classroom lessons, images of student work, an electronic notebook, and a…
Exploring Student Teachers' Perceptions of the Influence of Technology in Learning and Teaching Mathematics

ERIC Educational Resources Information Center

Bansilal, Sarah

2015-01-01

Rapid global technological developments have affected all facets of life, including the teaching and learning of mathematics. This qualitative study was designed to identify the ways in which technology was used and to explore the nature of this use by a group of 52 mathematics student teachers. The participants were pre-service Mathematics…
Developing Mathematical Content Knowledge for Teaching: One Preservice Teacher and Her Planning

ERIC Educational Resources Information Center

Wilson, Susanna

2016-01-01

This paper describes how a new pre-service teacher engaged with mathematical content in order to learn it for teaching, during practicum. The results show that the PST learned mathematical content by initiating and carrying out a preparation phase prior to planning. This phase involved searching through internet sites and making notes that were…
Computer-Assisted Mathematics Instruction for Students with Specific Learning Disability: A Review of the Literature

ERIC Educational Resources Information Center

Stultz, Sherry L.

2017-01-01

This review was conducted to evaluate the current body of scholarly research regarding the use of computer-assisted instruction (CAI) to teach mathematics to students with specific learning disability (SLD). For many years, computers are utilized for educational purposes. However, the effectiveness of CAI for teaching mathematics to this specific…
The Role of Induction in Learning to Teach toward Equity: A Study of Beginning Science and Mathematics Teachers

ERIC Educational Resources Information Center

Bianchini, Julie A.; Brenner, Mary E.

2010-01-01

We investigated how an induction program supported and constrained beginning teachers' efforts to teach science or mathematics in equitable and effective ways. We focused our investigation on the teaching and learning of equitable instructional practices; we conceived of such practices as attention to students' experiences, instruction for English…
A Network for Integrated Science and Mathematics Teaching and Learning. NCSTL Monograph Series, #2.

ERIC Educational Resources Information Center

Berlin, Donna F.; White, Arthur L.

This monograph presents a summary of the results of the Wingspread Conference in April, 1991 concerning the viability and future of the concept of integration of mathematics and science teaching and learning. The conference focused on three critical issues: (1) development of definitions of integration and a rationale for integrated teaching and…
The Effectiveness of Computer-Assisted Instruction for Teaching Mathematics to Students with Specific Learning Disability

ERIC Educational Resources Information Center

Stultz, Sherry L.

2013-01-01

Using computers to teach students is not a new idea. Computers have been utilized for educational purposes for over 80 years. However, the effectiveness of these programs for teaching mathematics to students with specific learning disability is unclear. This study was undertaken to determine if computer-assisted instruction was as effective as…

Assessment and Learning of Mathematics.

ERIC Educational Resources Information Center

Leder, Gilah C., Ed.

This book addresses the link between student learning of mathematics, the teaching method adopted in the mathematics classroom, and the assessment procedures used to determine and measure student knowledge. Fifteen chapters address issues that include a review of different models of mathematics learning and assessment practices, three contrasting…
Advanced Mathematical Thinking and Students' Mathematical Learning: Reflection from Students' Problem-Solving in Mathematics Classroom

ERIC Educational Resources Information Center

Sangpom, Wasukree; Suthisung, Nisara; Kongthip, Yanin; Inprasitha, Maitree

2016-01-01

Mathematical teaching in Thai tertiary education still employs traditional methods of explanation and the use of rules, formulae, and theories in order for students to memorize and apply to their mathematical learning. This results in students' inability to concretely learn, fully comprehend and understand mathematical concepts and practice. In…
Making mathematics and science integration happen: key aspects of practice

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

2016-02-01

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

ERIC Educational Resources Information Center

Kalinec-Craig, Crystal

2012-01-01

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

ERIC Educational Resources Information Center

Sapkova, Alesja

2013-01-01

The aim of the research was to compare espoused beliefs about teaching and learning and reported practices for the teachers of mathematics in Latvia. The sample consisted of 390 teachers of mathematics from different regions of Latvia. The present research is a part of an international comparative research within the NorBa project (Nordic-Baltic…
Effects of Prior Knowledge in Mathematics on Learner-Interface Interactions in a Learning-by-Teaching Intelligent Tutoring System

ERIC Educational Resources Information Center

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

2016-01-01

This study attempted to determine the influence of prior knowledge in mathematics of students on learner-interface interactions in a learning-by-teaching intelligent tutoring system. One hundred thirty-nine high school students answered a pretest (i.e., the prior knowledge in mathematics) and a posttest. In between the pretest and posttest, they…
Teaching Mathematics in Open Distance Learning (ODL): A Challenge to Quality Instruction?

ERIC Educational Resources Information Center

Kaino, L. M.

2012-01-01

Teaching mathematics through Open Distance Learning (ODL) has been a challenge to educators due to the nature of communication with learners and material delivery during instruction. In this paper, as a case study, we look at one mathematics module offered through ODL and the performance in the course for the past four years. A sample of 50…
Using a Cognitive-Scientific Inflected Anthropological Approach to Researching the Teaching and Learning of Elementary School Mathematics: An Instance of the Use of Aggregates

ERIC Educational Resources Information Center

Davis, Zain

2016-01-01

Anthropological approaches to studying the contextual specificity of mathematical thought and practice in schools can productively inform descriptions and analyses of mathematical practices within and across different teaching and learning contexts. In this paper I argue for an anthropological methodological orientation that takes into…
Learning How to Focus on Language While Teaching Mathematics to English Language Learners: A Case Study of Courtney

ERIC Educational Resources Information Center

Chval, Kathryn B.; Pinnow, Rachel J.; Thomas, Amanda

2015-01-01

Research in mathematics education increasingly recognizes the role of language in the education of English language learners. However, research examining the professional growth of mathematics teachers as they learn to teach English language learners is sparse. This case study addresses this issue by examining one third grade teacher as she…
Teachers' Perception of Their Preparedness to Apply Facilitation Teaching in Secondary School Mathematics Instruction by Teacher Characteristics

ERIC Educational Resources Information Center

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

2015-01-01

This study set out to find out the differences in teachers' perception of their preparedness to apply facilitation methods in teaching secondary school mathematics. Facilitation methods allow learners to be actively involved in the teaching and learning of mathematics hence making them be co-creators of knowledge. Facilitation teaching allow…
Indonesian Primary Teachers' Mathematical Knowledge for Teaching Geometry: Implications for Educational Policy and Teacher Preparation Programs

ERIC Educational Resources Information Center

Ng, Dicky

2011-01-01

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

ERIC Educational Resources Information Center

Song, Donggil

2017-01-01

Learning-by-teaching has been identified as one of the more effective approaches to learning. Recently, educational researchers have investigated virtual environments in order to utilize the learning-by-teaching pedagogy. In a face-to-face learning-by-teaching situation, the role of the learners is to teach their peers or instructors. In virtual…
History of Mathematics: Illuminating Understanding of School Mathematics Concepts for Prospective Mathematics Teachers

ERIC Educational Resources Information Center

Clark, Kathleen Michelle

2012-01-01

The use of the history of mathematics in teaching has long been considered a tool for enriching students' mathematical learning. However, in the USA few, if any, research efforts have investigated how the study of history of mathematics contributes to a person's mathematical knowledge for teaching. In this article, I present the results of…
Teaching and Learning. A Problem-Solving Focus.

ERIC Educational Resources Information Center

Curcio, Frances R., Ed.

This book is dedicated to George Polya, who focused on problem solving as the means for teaching and learning mathematics. The first chapter is a reprint of his article "On Learning, Teaching, and Learning Teaching." Then, G. L. Alexanderson paints a portrait of "George Polya, Teacher," including some anecdotes that exemplify…
Challenges of Blended E-Learning Tools in Mathematics: Students' Perspectives University of Uyo

ERIC Educational Resources Information Center

Umoh, Joseph B.; Akpan, Ekemini T.

2014-01-01

An in-depth knowledge of pedagogical approaches can help improve the formulation of effective and efficient pedagogy, tools and technology to support and enhance the teaching and learning of Mathematics in higher institutions. This study investigated students' perceptions of the challenges of blended e-learning tools in the teaching and learning…
Learning and Teaching Mathematics through Real Life Models

ERIC Educational Resources Information Center

Takaci, Djurdjica; Budinski, Natalija

2011-01-01

This paper proposes modelling based learning as a tool for learning and teaching mathematics in high school. We report on an example of modelling real world problems in two high schools in Serbia where students were introduced for the first time to the basic concepts of modelling. Student use of computers and educational software, GeoGebra, was…
Using Aviation to Change Math Attitudes

ERIC Educational Resources Information Center

Wood, Jerra

2013-01-01

Mathematics teachers are constantly looking for real-world applications of mathematics. Aerospace education provides an incredible context for teaching and learning important STEM concepts, inspiring young people to pursue careers in science, technology, engineering, and mathematics. Teaching mathematics within the context of aerospace generates…
Reflective Field Experiences for Success in Teaching Elementary Mathematics

ERIC Educational Resources Information Center

Robards, Shirley N.

2009-01-01

In this paper, the author discusses the major components of a junior level pedagogy course for elementary education majors learning to teach mathematics. The course reviews content and knowledge of the teacher candidates and introduces methods and materials for teaching elementary mathematics using the Standards or benchmarks from the National…
Examining Mathematics Classroom Interactions: Elevating Student Roles in Teaching and Learning

ERIC Educational Resources Information Center

Kent, Laura

2017-01-01

This article introduces a model entitled, "Responsive Teaching through Problem Posing" or RTPP, that addresses a type of reform oriented mathematics teaching based on posing relevant problems, positioning students as experts of mathematics, and facilitating discourse. RTPP incorporates decades of research on students' thinking in…
Teaching Secondary Mathematics. Second Edition.

ERIC Educational Resources Information Center

Brumbaugh, Douglas K.; Rock, David

This book for future mathematics teachers emphasizes technology as a teaching tool; development of teachers who are self-motivated, lifelong learners; and pedagogical features that engage and motivate students. It includes examples and activities to enhance learning. Part 1, "General Fundamentals," includes (1) "Introduction"; (2) "Learning,…

Assessment for Learning in Norway and Portugal: The Case of Primary School Mathematics Teaching

ERIC Educational Resources Information Center

Nortvedt, Guri A.; Santos, Leonor; Pinto, Jorge

2016-01-01

In this study, we aim to understand the forces driving assessment for learning (AfL) in primary school teaching. By applying a case study design, including the two cases of Norway and Portugal and using mathematics teaching as an example, available policy documents and research reports are analysed to identify the differences and similarities that…
Teaching Mathematical Problem-Solving with the Brain in Mind: How Can Opening a Closed Problem Help?

ERIC Educational Resources Information Center

Ambrus, András

2014-01-01

In the international literature, increasing numbers of articles and books are published about teaching and learning, with the brain in mind. For a long time, I have been sceptical about this question. However, seeing many unresolved issues in the teaching and learning of mathematics, I slowly started to study the relevant literature and have…
Mathematics Teachers' Beliefs about Inquiry-Based Learning after a Professional Development Course--An International Study

ERIC Educational Resources Information Center

Maass, Katja; Swan, Malcolm; Aldorf, Anna-Maria

2017-01-01

Inquiry-based learning (IBL) is a more student-centered approach to mathematics teaching that is recommended by many policy and curriculum documents across Europe. However, it is not easy for teachers to change from a more teacher-centered way of teaching to inquiry-based teaching as this involves a change of their role in class. Professional…
Students' Perception of Factors Influencing Teaching and Learning of Mathematics in Senior Secondary Schools in Maiduguri Metropolis, Borno State, Nigeria

ERIC Educational Resources Information Center

Dauda, Bala; Jambo, Hyelni Emmanuel; Umar, Muhammad Amin

2016-01-01

This study examined students' perception of factors influencing teaching and learning of mathematics in senior secondary schools in Maiduguri Metropolis of Borno State, Nigeria. The objectives of the study were to determine the extent to which students perceived: qualification, method of teaching, instructional materials and attitude of both…
Improving Teaching Quality and Problem Solving Ability through Contextual Teaching and Learning in Differential Equations: A Lesson Study Approach

ERIC Educational Resources Information Center

Khotimah, Rita Pramujiyanti; Masduki

2016-01-01

Differential equations is a branch of mathematics which is closely related to mathematical modeling that arises in real-world problems. Problem solving ability is an essential component to solve contextual problem of differential equations properly. The purposes of this study are to describe contextual teaching and learning (CTL) model in…
Problem Fields in Mathematics Teaching. Part 3: Views of Finnish Seventh-Grades about Mathematics Teaching. Research Report 108.

ERIC Educational Resources Information Center

Pehkonen, Erkki

This study was conducted to examine the views of seventh-grade students in Finland with regard to the teaching and learning of mathematics. Data were gathered by a questionnaire survey, with follow-up interviews to validate response reliability. Fifty junior high school mathematics teachers in southern Finland were asked to present the…
How Does a Co-Learner Delivery Model in Professional Development Affect Teachers' Self-Efficacy in Teaching Mathematics and Specialized Mathematics Knowledge for Teaching?

ERIC Educational Resources Information Center

Ribeiro, John J.

2009-01-01

The National Mathematics Advisory Panel, established under the Bush Administration, was created to improve teaching and learning of mathematics in the United States. One component of the study was focused on teachers and professional development opportunities. They found that the majority of professional development studies available were mostly…
Students' perception and relationship between confidence and anxiety in teaching and learning mathematics: A case study in Sekolah Kebangsaan Bukit Kuda, Klang

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Mohd Nordin, Noraimi Azlin; Md Tahir, Herniza; Kamis, Nor Hanimah; Khairul Azmi, Nurul Nisa'

2013-04-01

In general, Mathematics is one of the core subjects need to be learned by students regardless they are in primary and secondary schools. Different students might have different views and interests on Mathematics subjects. This is due to different level of thinking for each student. Students' acceptance and confidence level in learning Mathematics will depend on various factors among them. A program named "Mini Hari Matematik" was conducted in Sekolah Rendah Kebangsaan Bukit Kuda, Klang exclusively for 49 students of standard four, five and six to identify the students' perception and correlation between their confidence and anxiety in learning Mathematics. This program was intended to give exposure to the students on the importance of Mathematics in life and hence, develop their interest in learning Mathematics. We measure the students' perception on teaching and learning Mathematics using statistical approach based on SPSS. The analysis includes mean, variance, observations, correlation and so on. Based on the results obtained, it is found that there is a positive correlation between students' confidence and anxiety in learning Mathematics in their daily life. In addition, students are more attracted to Mathematics if this subject is blended with game elements in their teaching and learning process. As a conclusion, we can see that there are three basic foundations need to be developed in each of the students about Mathematics which are firstly, their early understanding on the subject itself, ability to communicate regarding this subject and how they apply this subject in decision making and problem solving. This program gives high benefit to the students in preparing them towards the science and technology era.
Teaching Undergraduate Mathematics in Interactive Groups: How Does It Fit with Students' Learning?

ERIC Educational Resources Information Center

Sheryn, Louise; Ell, Fiona

2014-01-01

Debates about how undergraduate mathematics should be taught are informed by different views of what it is to learn and to do mathematics. In this qualitative study 10 students enrolled in an advanced undergraduate course in mathematics shared their views about how they best learn mathematics. After participating in a semester-long course in…
The Influence of Theoretical Mathematical Foundations on Teaching and Learning: A Case Study of Whole Numbers in Elementary School

ERIC Educational Resources Information Center

Chambris, Christine

2018-01-01

This paper examines the existence and impact of theoretical mathematical foundations on the teaching and learning of whole numbers in elementary school in France. It shows that the study of the New Math reform--which was eventually itself replaced in the longer term--provides some keys to understanding the influence of mathematical theories on…
Perspectives of Pre-Service Middle and Secondary Mathematics Teachers on the Use of Webquests in Teaching and Learning Geometry

ERIC Educational Resources Information Center

Halat, Erdogan

2009-01-01

The aim of this study was to examine the views of pre-service mathematics teachers on the use of webquests in teaching and learning geometry with reference to a theoretical framework developed by Dodge in 1995. For this study the researcher identified four groups containing nineteen pre-service mathematics teachers, which were then assigned to…
Effectiveness of Mathematics Teaching and Learning Experiences through Wireless Technology as Recent Style to Enhance B.Ed. Trainees

ERIC Educational Resources Information Center

Joan, D. R. Robert

2015-01-01

The objective of the study was to find out the effect of learning through Wireless technologies and the traditional method in teaching and learning Mathematics. The investigator adopted experimental research to find the effectiveness of implementing Wireless technologies in the population of B.Ed. trainees. The investigator selected 32 B.Ed.…
Learning from Lessons: Studying the Construction of Teacher Knowledge Catalysed by Purposefully-Designed Experimental Mathematics Lessons

ERIC Educational Resources Information Center

Clarke, Doug; Clarke, David; Roche, Anne; Chan, Man Ching Esther

2015-01-01

A central premise of this project is that teachers learn from the act of teaching a lesson and that this learning is evident in the planning and teaching of a subsequent lesson. In this project, the knowledge construction of mathematics teachers was examined utilising multi-camera research techniques during lesson planning, classroom interactions…
What Do We Know about Mathematics Teaching and Learning of Multilingual Adults and Why Does It Matter?

ERIC Educational Resources Information Center

Ní Ríordáin, Máire; Coben, Diana; Miller-Reilly, Barbara

2015-01-01

The significant role of language in mathematics teaching and learning is not a new phenomenon. Given the growth of cultural and economic migration, the increasing international focus on education for economic development and the widespread use of English as a language for learning, we have become acutely aware of the importance of language in…
New Challenges in the Teaching of Mathematics.

ERIC Educational Resources Information Center

Bourguignon, Jean Pierre

The manifold but discrete presence of mathematics in many objects or services imposes new constraints to the teaching of mathematics. If citizens need to be comfortable in various situations with a variety of mathematical tools, the learning of mathematics requires that one starts with simple concepts. This paper proposes some solutions to solve…
Research on Mathematics Teachers as Partners in Task Design

ERIC Educational Resources Information Center

Jones, Keith; Pepin, Birgit

2016-01-01

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…
Interesting Science and Mathematics Graduate Students in Secondary Teaching

ERIC Educational Resources Information Center

Latterell, Carmen M.

2009-01-01

State and national initiatives attempt to increase the quantity and quality of secondary mathematics and science teachers. Research suggests that if one could appeal to something inside of people or about the process of teaching and learning itself, then one might draw current mathematics and science graduate students into secondary teaching. This…
The Building of Pre-Service Primary Teachers' Knowledge of Mathematics Teaching: Interaction and Online Video Case Studies

ERIC Educational Resources Information Center

Llinares, Salvador; Valls, Julia

2009-01-01

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

ERIC Educational Resources Information Center

Golafshani, Nahid

2013-01-01

To promote the implementation of manipulatives into mathematics instruction, this research project examined how the instructional practices of four Grade 9 applied mathematics teachers related to their beliefs about the use of manipulatives in teaching mathematics, its effects on students' learning, and enabling and disabling factors. Teacher…
Understanding the Chinese Approach to Creative Teaching in Mathematics Classrooms

ERIC Educational Resources Information Center

Niu, Weihua; Zhou, Zheng; Zhou, Xinlin

2017-01-01

Using Amabile's componential theory of creativity as a framework, this paper analyzes how Chinese mathematics teachers achieve creative teaching through acquiring in-depth domain-specific knowledge in mathematics, developing creativity-related skills, as well as stimulating student interest in learning mathematics, through well-crafted,…

Classroom observation data and instruction in primary mathematics education: improving design and rigour

NASA Astrophysics Data System (ADS)

Thompson, Carla J.; Davis, Sandra B.

2014-06-01

The use of formal observation in primary mathematics classrooms is supported in the literature as a viable method of determining effective teaching strategies and appropriate tasks for inclusion in the early years of mathematics learning. The twofold aim of this study was to (a) investigate predictive relationships between primary mathematics classroom observational data and student achievement data, and (b) to examine the impact of providing periodic classroom observational data feedback to teachers using a Relational-Feedback-Intervention (RFI) Database Model. This observational research effort focused on an empirical examination of student engagement levels in time spent on specific learning activities observed in primary mathematics classrooms as predictors of student competency outcomes in mathematics. Data were collected from more than 2,000 primary classroom observations in 17 primary schools during 2009-2011 and from standardised end-of-year tests for mathematics achievement. Results revealed predictive relationships among several types of teaching and learning tasks with student achievement. Specifically, the use of mathematics concepts, technology and hands-on materials in primary mathematics classrooms was found to produce substantive predictors of increased student mathematics achievement. Additional findings supported the use of periodic classroom observation data reporting as a positive influence on teachers' decisions in determining instructional tasks for inclusion in primary mathematics classrooms. Study results indicate classroom observational research involving a RFI Database Model is a productive tool for improving teaching and learning in primary mathematics classrooms.
Students' Attitude towards STEM Education

ERIC Educational Resources Information Center

Popa, Roxana-Alexandra; Ciascai, Liliana

2017-01-01

STEM is the acronym of Science, Technology, Engineering, and Mathematics fields. STEM education refers both to teaching and learning in the above-mentioned disciplines, but especially to teaching and learning a new discipline based on the integration of Science, Technology, Engineering, and Mathematics. The present survey aims to investigate the…
Exciting Normal Distribution

ERIC Educational Resources Information Center

Fuchs, Karl Josef; Simonovits, Reinhard; Thaller, Bernd

2008-01-01

This paper describes a high school project where the mathematics teaching and learning software M@th Desktop (MD) based on the Computer Algebra System Mathematica was used for symbolical and numerical calculations and for visualisation. The mathematics teaching and learning software M@th Desktop 2.0 (MD) contains the modules Basics including tools…
How Children Learn Mathematics, Teaching Implications of Piaget's Research.

ERIC Educational Resources Information Center

Copeland, Richard W.

Included are the standard topics presented in the undergraduate and/or graduate course on methods of teaching mathematics in elementary education. Chapter 1 describes the historical development of learning theories, including Piaget's. Chapter 2 contains a biographical sketch of Piaget and an explanation of his theory of cognitive development.…
Effective Learning & Teaching in Mathematics and Its Applications.

ERIC Educational Resources Information Center

Kahn, Peter, Ed.; Kyle, Joseph, Ed.

The chapters of this collection serve as a guide to teachers of mathematics in the United Kingdom at the undergraduate and postgraduate levels. Chapters of part A, "Issues in Learning and Teaching," are: (1) "The Transition to Higher Education" (John Appleby and William Cox); (2) "The Genesis of Mathematical…
Classroom-Based Integration of Text-Messaging in Mathematics Teaching-Learning Process

ERIC Educational Resources Information Center

Aunzo, Rodulfo T., Jr.

2017-01-01

A lot of teachers are complaining that students are "texting" inside the classroom even during class hours. With this, this research study "on students' perception before the integration and the students' attitude after the integration of text messaging inside the classroom during the mathematics teaching-learning process was…
On Learning Geometry for Teaching

ERIC Educational Resources Information Center

Kuchemann, Dietmar; Rodd, Melissa

2012-01-01

The title is that of a course with the same name, designed for teachers of mathematics. The rational for a course specifically on geometry was that "many of those currently teaching mathematics in school had little geometrical education". Teachers on the course experience geometry through problem solving, and learning to pose geometrical problems.…
Focus in Grade 8: Teaching with Curriculum Focal Points

ERIC Educational Resources Information Center

Schielack, Jane

2010-01-01

This book describes and illustrates learning paths for the mathematical concepts and skills of each grade 8 Focal Point as presented in Curriculum Focal Points for Prekindergarten through Grade 8 Mathematics. It includes representational supports for teaching and learning that can facilitate understanding, stimulate productive discussions about…
The Role of Culture in Rural Ugandan Mathematics Teaching and Learning

ERIC Educational Resources Information Center

Kaahwa, Janet

2011-01-01

Education systems are culturally embedded and, therefore, difficult to improve without understanding actions, beliefs, and attitudes related to education existing within the culture. This article discusses the role culture plays in the teaching and learning of mathematics. It specifically dwells on the ways culture could benefit learners from…
Visual Representations in Mathematics Teaching: An Experiment with Students

ERIC Educational Resources Information Center

Debrenti, Edith

2015-01-01

General problem-solving skills are of central importance in school mathematics achievement. Word problems play an important role not just in mathematical education, but in general education as well. Meaningful learning and understanding are basic aspects of all kinds of learning and it is even more important in the case of learning mathematics. In…
Integrating Dynamic Mathematics Software into Cooperative Learning Environments in Mathematics

ERIC Educational Resources Information Center

Zengin, Yilmaz; Tatar, Enver

2017-01-01

The aim of this study was to evaluate the implementation of the cooperative learning model supported with dynamic mathematics software (DMS), that is a reflection of constructivist learning theory in the classroom environment, in the teaching of mathematics. For this purpose, a workshop was conducted with the volunteer teachers on the…
Learning Mathematics in English at Basic Schools in Ghana: A Benefit or Hindrance?

ERIC Educational Resources Information Center

Fredua-Kwarteng, Eric; Ahia, Francis

2015-01-01

Facilitating effective mathematics learning and higher mathematics achievement have long been recognized as a key to the scientific and technological advancement of the African continent. While the central role that language proficiency plays in mathematics teaching and learning has received an overwhelming research attention in the literature…
Illuminating the Identities of Mathematics Teachers and Mathematics Teacher Educators

ERIC Educational Resources Information Center

Johnson, Kate R.

2013-01-01

This dissertation builds on research about teacher identities (e.g., Agee, 2004; Sumara & Luce-Kapler, 1996; Ronfeldt & Grossman, 2008), teaching mathematics for social justice (e.g., Felton, 2010; Gutstein, 2006; Skovsmose, 1985; Stinson & Wager, 2012) and learning to teach mathematics for social justice (e.g., Gau, 2005; Gonzalez,…
Reflective Awareness in Mathematics Teachers' Learning and Teaching

ERIC Educational Resources Information Center

Chapman, Olive

2015-01-01

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…
Collegiate Mathematics Teaching: An Unexamined Practice

ERIC Educational Resources Information Center

Speer, Natasha M.; Smith, John P., III; Horvath, Aladar

2010-01-01

Though written accounts of collegiate mathematics teaching exist (e.g., mathematicians' reflections and analyses of learning and teaching in innovative courses), research on collegiate teachers' actual classroom teaching practice is virtually non-existent. We advance this claim based on a thorough review of peer-reviewed journals where scholarship…
Exploration of Factors Related to the Development of Science, Technology, Engineering, and Mathematics Graduate Teaching Assistants' Teaching Orientations

ERIC Educational Resources Information Center

Gilmore, Joanna; Maher, Michelle A.; Feldon, David F.; Timmerman, Briana

2014-01-01

Research indicates that modifying teachers' beliefs about learning and teaching (i.e. teaching orientation) may be a prerequisite to changing their teaching practices. This mixed methods study quantitized data from interviews with 65 graduate teaching assistants (GTAs) from science, technology, engineering, and mathematics (STEM) fields to assess…
Spreadsheets as a Transparent Resource for Learning the Mathematics of Annuities

ERIC Educational Resources Information Center

Pournara, Craig

2009-01-01

The ability of mathematics teachers to decompress mathematics and to move between representations are two key features of mathematical knowledge that is usable for teaching. This article reports on four pre-service secondary mathematics teachers learning the mathematics of annuities. In working with spreadsheets students began to make sense of…
Communicational Perspectives on Learning and Teaching Mathematics: Prologue

ERIC Educational Resources Information Center

Tabach, Michal; Nachlieli, Talli

2016-01-01

This special issue comprises five studies which vary in their focus and mathematical content, yet they all share an underlying communicational theoretical framework--commognition. Within this framework, learning mathematics is defined as a change in one's mathematical discourse, that is, in the form of communication known as mathematical. Teaching…
A Practitioner's Instrument for Measuring Secondary Mathematics Teachers' Beliefs Surrounding Learner-Centered Classroom Practice.

PubMed

Lischka, Alyson E; Garner, Mary

In this paper we present the development and validation of a Mathematics Teaching Pedagogical and Discourse Beliefs Instrument (MTPDBI), a 20 item partial-credit survey designed and analyzed using Rasch measurement theory. Items on the MTPDBI address beliefs about the nature of mathematics, teaching and learning mathematics, and classroom discourse practices. A Rasch partial credit model (Masters, 1982) was estimated from the pilot study data. Results show that item separation reliability is .96 and person separation reliability is .71. Other analyses indicate the instrument is a viable measure of secondary teachers' beliefs about reform-oriented mathematics teaching and learning. This instrument is proposed as a useful measure of teacher beliefs for those working with pre-service and in-service teacher development.
The effect of using Indonesian realistic mathematics education (PMRI) approach on the mathematics achievement amongst primary school students

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Zubainur, Cut Morina; Veloo, Arsaythamby; Khalid, Rozalina

2015-05-01

This study aims to determine the effects of the Indonesian Realistic Mathematics Education (PMRI) in Aceh primary schools, Indonesia. Although a plethora of research evidence highlights significant outcomes of the incorporation PMRI in mathematics, its use in the teaching and learning process is limited. Total of 50 standard five students from public primary school participated in this study; 25 students in the experimental group and 25 in the control group. The teaching approaches varied between the groups. While the experimental group experienced the PMRI approach, the control group encountered the conventional teaching approach of chalk and talk. Data was collected at two points namely the pre-test and post-test that lasted for five weeks. The results showed significant differences in mathematics achievement among primary students. In addition, PMRI also creates an active learning environment in solving exercises, and discussions among students and teachers. This study provides evidence that learning mathematics with PMRI benefits primary school students.

Piloting a Co-Teaching Model for Mathematics Teacher Preparation: Learning to Teach Together

ERIC Educational Resources Information Center

Yopp, Ruth Helen; Ellis, Mark W.; Bonsangue, Martin V.; Duarte, Thomas; Meza, Susanna

2014-01-01

This study offers insights from an initial pilot of a co-teaching model for mathematics teacher preparation developed both to support experienced teachers in shifting their practice toward the vision set forth by NCTM and the Common Core State Standards for Mathematics (National Governors Association, 2010; NCTM, 2000, 2009) and to provide…
Instructional Efficiency of the Integration of Graphing Calculators in Teaching and Learning Mathematics

ERIC Educational Resources Information Center

Tajuddin, Nor'ain Mohd; Tarmizi, Rohani Ahmad; Konting, Mohd Majid; Ali, Wan Zah Wan

2009-01-01

This quasi-experimental study with non-equivalent control group post-test only design was conducted to investigate the effects of using graphing calculators in mathematics teaching and learning on Form Four Malaysian secondary school students' performance and their meta-cognitive awareness level. Graphing calculator strategy refers to the use of…
Investigation of Contingency Patterns of Teachers' Scaffolding in Teaching and Learning Mathematics

ERIC Educational Resources Information Center

Anwar; Yuwono, Ipung; Irawan, Edy Bambang; As'ari, Abdur Rahman

2017-01-01

The purpose of this study is to investigate the patterns of scaffolding contingency in teaching and learning mathematics carried out by three teachers. Contingency patterns are obtained by examining the transcription from video recording of conversation fragments between teachers and students during the provision of scaffolding. The contingency…
Manipulatives and Problem Situations as Escalators for Students' Geometric Understanding: A Semiotic Analysis

ERIC Educational Resources Information Center

Daher, Wajeeh M.

2014-01-01

Mathematical learning and teaching are increasingly seen as a multimodal experience involved in cultural and social semiotic registers and means, and as such social-cultural semiotic analysis is expected to shed light on learning and teaching processes occurring in the mathematics classroom. In this research, three social-cultural semiotic…
What Matters Most when Students and Teachers Use Interactive Whiteboards in Mathematics Classrooms?

ERIC Educational Resources Information Center

McQuillan, Kimberley; Northcote, Maria; Beamish, Peter

2012-01-01

Teachers are encouraged to immerse their students in rich and engaging learning environments (NSW Department of Education and Training, 2003). One teaching tool that can facilitate the creation of rich learning environments is the interactive whiteboard (IWB) (Baker, 2009). When teaching mathematics, the varied representational aspects of IWBs can…
Teaching Mathematics to Students With Learning Disabilities: A Review Of Literature

ERIC Educational Resources Information Center

Obudo, Francis

2008-01-01

The purpose of this study was to review and synthesize available literature to draw a comprehensive picture of what is necessary to teach mathematics to students with learning disabilities. A systematic search was conducted through 5 computerized databases (Academic Search Complete, ERIC, Education Research Complete, and Primary Search) The…
Stories of Change: Narrative Perspectives on Elementary Teachers' Identifying and Implementation of New Mathematics Teaching Practices

ERIC Educational Resources Information Center

Oslund, Joy Ann

2009-01-01

Recent mathematics education reforms (NCTM, 2000) have resulted in increased opportunities for teachers to learn new teaching practices. However, the relationship between teacher professional development and the actual implementation of new practices is unclear. I posit that a teachers' decision to implement newly learned practices is strongly…
With an Eye on the Mathematical Horizon: Dilemmas of Teaching Elementary School Mathematics. Craft Paper 90-3.

ERIC Educational Resources Information Center

Ball, Deborah Loewenberg

Much educational discourse centers on the importance of teachers' subject matter knowledge. Complementing concerns for subject matter knowledge is interest in developing and studying alternative pedagogies that emphasize active learning and meaningful engagement. Teaching and learning would be improved, so the argument goes, if classrooms were…
Characteristics of mathematics teaching in Shanghai, China: Through the lens of a Malaysian

NASA Astrophysics Data System (ADS)

Lim, Chap Sam

2007-06-01

The mathematical performance of Chinese students, from mainland China, Hong Kong and Taiwan, is widely acclaimed in international comparisons of mathematics achievement. However, in the eyes of the Western educators, the environments established in Chinese schools are deemed relatively unfavourable for mathematics learning. This paper reports on a study that investigates the characteristics of effective mathematics teaching in five Shanghai schools. Findings reveal that those characteristics include (a) teaching with variation; (b) emphasis of precise and elegant mathematical language; (c) emphasis of logical reasoning, mathematical thinking and proofing during teaching; (d) order and serious classroom discipline; (e) strong and coherence teacher-student rapport, and (f) strong collaborative culture amongst mathematics teachers.
Games as an educational resource in the teaching and learning of mathematics: an educational experiment in Portuguese middle schools

NASA Astrophysics Data System (ADS)

Campos, Helena; Moreira, Rute

2016-04-01

This article is based on an experiment using the game 'Caminhando e Calculando' (Moving and Calculating) in order to analyse the potential of the game as an educational resource for the teaching and learning of mathematics in Portuguese middle schools, where most students are 10 or 11 years old. Students' data obtained during the games will be used to analyse the different options used for solving the game, identifying its potential and its weaknesses. We start with a theoretical analysis of games as an inherent element of human culture. Combining our innate desire for fun with the different types of teaching and learning styles allows for fun and knowledge to be combined into more efficient and meaningful types of knowledge. Playing games are a primordial aspect of what it means to be a child and they develop within a motivating environment; therefore, not to take advantage of games as a learning resource would be to neglect an important asset. With regard to mathematics, emphasis will be given to the advantages that this teaching and learning tool provides for certain mathematical processes, such as problem-solving.
Discrete Mathematics Re "Tooled."

ERIC Educational Resources Information Center

Grassl, Richard M.; Mingus, Tabitha T. Y.

1999-01-01

Indicates the importance of teaching discrete mathematics. Describes how the use of technology can enhance the teaching and learning of discrete mathematics. Explorations using Excel, Derive, and the TI-92 proved how preservice and inservice teachers experienced a new dimension in problem solving and discovery. (ASK)
Entering into dialogue about the mathematical value of contextual mathematising tasks

NASA Astrophysics Data System (ADS)

Yoon, Caroline; Chin, Sze Looi; Moala, John Griffith; Choy, Ban Heng

2018-03-01

Our project seeks to draw attention to the rich mathematical thinking that is generated when students work on contextual mathematising tasks. We use a design-based research approach to create ways of reporting that raise the visibility of this rich mathematical thinking while retaining and respecting its complexity. These reports will be aimed for three classroom stakeholders: (1) students, who wish to reflect on and enhance their mathematical learning; (2) teachers, who wish to integrate contextual mathematising tasks into their teaching practice and (3) researchers, who seek rich tasks for generating observable instances of mathematical thinking and learning. We anticipate that these reports and the underlying theoretical framework for creating them will contribute to greater awareness of and appreciation for the mathematical value of contextual mathematising tasks in learning, teaching and research.
Teachers' Influence on Integration of Tools into Mathematics Teaching

ERIC Educational Resources Information Center

Yesildere, Sibel

2010-01-01

This paper examines the process through which three pre-service teachers learn to use mathematical tools; it also looks at pre-service teachers' instrumentation of tools into mathematics teaching. Three pre-service teachers were studying at a primary mathematics teacher training program at Dokuz Eylul University in Turkey. During an eight-week…
Use of Angle Model to Understand Addition and Subtraction of Fractions

ERIC Educational Resources Information Center

Mukwambo, Muzwangowenyu; Ngcoza, Kenneth; Ramasike, Lineo Florence

2018-01-01

Learners in lower primary and even some in upper primary grades grapple to perform mathematical operations which involve fractions. Failure to solve these mathematical operations creates a gap in the teaching and learning processes of mathematics. We opine that this is attributed to use of traditional mathematical approaches of teaching and…
Views on Adults Re-Learning Mathematics: A Comparative Study.

ERIC Educational Resources Information Center

Angiama, R. O.

This paper is based on the on-going research, work, and teaching carried out in the Mathematics Foundations Course (MFC) at Goldsmiths College, University of London. Teaching is a very intimate and rewarding experience for the mathematics lecturer as well as for the adult student. Mathematics lecturers and adults should be challenged by their…
Questions To Ask and Issues To Consider While Supervising Elementary Mathematics Student Teachers.

ERIC Educational Resources Information Center

Philip, Randolph A.

2000-01-01

Presents four questions to consider when supervising elementary mathematics teachers, who come with many preconceptions about teaching and learning mathematics: What mathematical concepts, procedures, or algorithms are you teaching? Are the concepts and procedures part of a unit? What types of questions do you pose? and What understanding of…
The Influence of a Reform-Based Mathematics Methods Course on Preservice Teachers' Beliefs

ERIC Educational Resources Information Center

Evans, Brian R.; Leonard, Jacqueline; Krier, Kathleen; Ryan, Steve

2013-01-01

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…
Reflections on a Technology-Rich Mathematics Classroom

ERIC Educational Resources Information Center

Hodges, Thomas E.; Conner, Elizabeth

2011-01-01

Integrating technology into the mathematics classroom means more than just new teaching tools--it is an opportunity to redefine what it means to teach and learn mathematics. Yet deciding when a particular form of technology may be appropriate for a specific mathematics topic can be difficult. Such decisions center on what is commonly being…
Mathematical Knowledge: Its Growth through Teaching. Mathematics Education Library, Volume 10.

ERIC Educational Resources Information Center

Bishop, Alan J., Ed.; And Others

This book presents issues concerning relationships between mathematical knowledge and the teaching and learning processes, focusing especially on the genesis of mathematical knowledge in the classroom. The chapter titles are: (1) The Fragility of Knowledge (Guy Brousseau and Michael Otte); (2) The Double Bind as a Didactical Trap (Stieg…
Reading and Reflecting: Elementary Preservice Teachers' Conceptions about Teaching Mathematics for Equity

ERIC Educational Resources Information Center

Jackson, Christa; Jong, Cindy

2017-01-01

Teaching mathematics for equity is critical because it provides opportunities for all students, especially those who have been traditionally marginalised, to learn mathematics that is rigorous and relevant to their lives. This article reports on our work, as mathematics teacher educators, on exposing and engaging 60 elementary preservice teachers…

Virtual Manipulatives: Tools for Teaching Mathematics to Students with Learning Disabilities

ERIC Educational Resources Information Center

Shin, Mikyung; Bryant, Diane P.; Bryant, Brian R.; McKenna, John W.; Hou, Fangjuan; Ok, Min Wook

2017-01-01

Many students with learning disabilities demonstrate difficulty in developing a conceptual understanding of mathematical topics. Researchers recommend using visual models to support student learning of the concepts and skills necessary to complete abstract and symbolic mathematical problems. Virtual manipulatives (i.e., interactive visual models)…
Construction of teacher knowledge in context: Preparing elementary teachers to teach mathematics and science

NASA Astrophysics Data System (ADS)

Lowery, Maye Norene Vail

1998-12-01

The purposes of this study were to further the understanding of how preservice teacher construct teacher knowledge and pedagogical content knowledge of elementary mathematics and science and to determine the extent of that knowledge in a school-based setting. Preservice teachers, university instructors, inservice teachers, and other school personnel were involved in this context-specific study. Evidence of the preservice teachers' knowledge construction (its acquisition, its dimensions, and the social context) was collected through the use of a qualitative methodology. Collected data included individual and group interviews, course documents, artifacts, and preservice teaching portfolios. Innovative aspects of this integrated mathematics and science elementary methods course included standards-based instruction with immediate access to field experiences. Grade-level teams of preservice and inservice teachers planned and implemented lessons in mathematics and science for elementary students. An on-site, portable classroom building served as a mathematics and science teaching and learning laboratory. A four-stage analysis was performed, revealing significant patterns of learning. An ecosystem of learning within a constructivist learning environment was identified to contain three systems: the university system; the school system; and the cohort of learners system. A mega system for the construction of teacher knowledge was revealed in the final analysis. Learning venues were discovered to be the conduits of learning in a situated learning context. Analysis and synthesis of data revealed an extensive acquisition of teacher knowledge and pedagogical content knowledge through identified learning components. Patience, flexibility, and communication were identified as necessities for successful teaching. Learning components included: collaboration with inservice teachers; implementation of discovery learning and hands-on/minds-on learning; small groupwork; lesson planning; classroom management; and application of standards-based instruction. Prolonged, extensive classroom involvement provided familiarity with the ability levels of elementary students. Gains in positive attitudes and confidence in teaching mathematics and science were identified as direct results of this experience. This may be attributed to the immersion in the school-based setting (hands-on) and the standards-based approach (minds-on) methods course. The results are written in case study form using thick description with an emphasis on preservice teachers.
Examining the Implementation of a Problem-Based Learning and Traditional Hybrid Model of Instruction in Remedial Mathematics Classes Designed for State Testing Preparation of Eleventh Grade Students

ERIC Educational Resources Information Center

Rodgers, Lindsay D.

2011-01-01

The following paper examined the effects of a new method of teaching for remedial mathematics, named the hybrid model of instruction. Due to increasing importance of high stakes testing, the study sought to determine if this method of instruction, that blends traditional teaching and problem-based learning, had different learning effects on…
Teaching and Learning Mathematics through Hurricane Tracking

ERIC Educational Resources Information Center

Fernandez, Maria L.; Schoen, Robert C.

2008-01-01

Mathematics teachers can tap into students' curiosity about hurricanes to develop their understanding of mathematical ideas within a real-life context. This article discusses hurricane-based mathematics tasks involving cooperative learning that were found to help students enhance their understanding of patterns, graphs, and rates of change. For…
(Re)Envisioning Mathematics Education: Examining Equity and Social Justice in an Elementary Mathematics Methods Course

ERIC Educational Resources Information Center

Koestler, Courtney

2010-01-01

In this dissertation, I present my attempts at designing an elementary mathematics methods course to support prospective teachers in developing an understanding of how to teach all students in learning powerful mathematics. To do this, I introduced them to teaching mathematics for equity and social justice by discussing ways to support students'…
Teaching Mathematics Education with Cultural Competency

ERIC Educational Resources Information Center

Dornoo, Michael

2015-01-01

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

ERIC Educational Resources Information Center

Haynes, J. Chris; Stripling, Christopher T.

2014-01-01

School-based agricultural education programs provide contextualized learning environments for the teaching of core academic subject matter. This study sought to examine the mathematics efficacy and professional development needs of Wyoming agricultural education teachers related to teaching contextualized mathematics. Wyoming agricultural…
Evaluating the Impact of a Faculty Learning Community on STEM Teaching and Learning

ERIC Educational Resources Information Center

Smith, Tori Rhoulac; McGowan, Jill; Allen, Andrea R.; Johnson, Wayne David, II; Dickson, Leon A., Jr.; Najee-ullah, Muslimah Ali; Peters, Monique

2008-01-01

The faculty learning community project at Howard University involved a diverse group of men and women, tenured, tenure-track, and future faculty across science, technology, engineering, and mathematics (STEM) disciplines. The purpose of the group was to engage in the scholarship of teaching and learning by learning about teaching, reflecting on…
Developing a Framework of Outcomes for Mathematics Teacher Learning: Three Mathematics Educators Engage in Collaborative Self-Study

ERIC Educational Resources Information Center

Bahr, Damon L.; Monroe, Eula Ewing; Mantilla, Jodi

2018-01-01

This article synthesizes the literature on what it means to teach mathematics and science to ELLs and abstract from it a set of knowledge and skills teachers might need to teach ELLs effectively. To this end, the article brings together the sociocultural and linguistic perspectives identifying three areas of effective teaching practice. One…
Contextual Teaching and Learning Approach of Mathematics in Primary Schools

NASA Astrophysics Data System (ADS)

Selvianiresa, D.; Prabawanto, S.

2017-09-01

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

ERIC Educational Resources Information Center

Nehme, Zeina

2011-01-01

Contextual mathematics is an area of mathematics teaching and learning through which researchers and educators believe that mathematics is better taught, and learned, if connected to real-life situations and problems. It is also very helpful if it makes sense in the students' world. Thus, the author decided to start a project by creating a blog,…
The Application of Contextual Approach in Learning Mathematics to Improve Students Motivation at SMPN 1 Kupang

ERIC Educational Resources Information Center

Ekowati, Ch. Krisnandari; Darwis, Muhammad; Upa, H. M. D. Pua; Tahmir, Suradi

2015-01-01

This research is an action research which aims to implement contextual teaching and learning (CTL) approach to learn mathematics, focus on the integration subjects. The approach utilizes the use of mathematics manipulative so that students can understand a mathematical concept to construct their own. The method which used in this research are…
How Teachers Teach and Students Learn: "Successful Strategies for School." OECD Education Working Papers, No. 130

ERIC Educational Resources Information Center

Echazarra, Alfonso; Salinas, Daniel; Méndez, Ildefonso; Denis, Vanessa; Rech, Giannina

2016-01-01

This paper examines how particular teaching and learning strategies are related to student performance on specific PISA test questions, particularly mathematics questions. The report compares teacher-directed instruction and memorisation learning strategies, at the traditional ends of the teaching and learning spectrums, and student-oriented…
Quality Teaching Rounds in Mathematics Teacher Education

ERIC Educational Resources Information Center

Prieto, Elena; Howley, Peter; Holmes, Kathryn; Osborn, Judy-anne; Roberts, Malcolm; Kepert, Andrew

2015-01-01

The purpose of the study reported in this paper is to evaluate the effectiveness of an implementation of teaching rounds as a practice-based approach to pre-service teacher education in mathematics. The teaching rounds implemented in the study utilised the NSW Quality Teaching model pedagogical framework as a tool for learning about and reflecting…
Improving Mathematics Teaching and Learning Experiences for Hard of Hearing Students with Wireless Technology-Enhanced Classrooms

ERIC Educational Resources Information Center

Liu, Chen-Chung; Chou, Chien-Chia; Liu, Baw-Jhiune; Yang, Jui-Wen

2006-01-01

Hard of hearing students usually face more difficulties at school than other students. A classroom environment with wireless technology was implemented to explore whether wireless technology could enhance mathematics learning and teaching activities for a hearing teacher and her 7 hard of hearing students in a Taiwan junior high school.…
Using Culturally Relevant Teaching in a Co-Educational Mathematics Class of a Patriarchal Community

ERIC Educational Resources Information Center

Mogari, David

2017-01-01

The paper reports on the use of culturally relevant teaching in a class located in a patriarchal community. The paper is conceptualised around the notion that learners' familiar context provided by the socio-cultural activities can facilitate mathematics learning and make it fun to learn. Data were derived from a lesson activity using…
My Journey of Learning and Teaching Mathematics from Traditionalism to Constructivism: A Portrayal of Pedagogic Metamorphosis

ERIC Educational Resources Information Center

Belbase, Shashidhar

2006-01-01

This dissertation depicts my paradigmatic shift from traditionalist approach to constructivist approach of teaching and learning of mathematics. I have used autoethnography as the genre of writing and research that connects the personal to the cultural placing the self within a social context (Reed-Danahay, 1997). Employing autoethnography, I have…
The Use of Visual Approach in Teaching and Learning the Epsilon-Delta Definition of Continuity

ERIC Educational Resources Information Center

Pešic, Duška; Pešic, Aleksandar

2015-01-01

In this paper we introduce a new collaborative technique in teaching and learning the epsilon-delta definition of a continuous function at the point from its domain, which connects mathematical logic, combinatorics and calculus. This collaborative approach provides an opportunity for mathematical high school students to engage in mathematical…
Investigating the Potential of the Flipped Classroom Model in K-12 Mathematics Teaching and Learning

ERIC Educational Resources Information Center

Katsa, Maria; Sergis, Stylianos; Sampson, Demetrios G.

2016-01-01

The Flipped Classroom model (FCM) is a promising blended educational innovation aiming to improve the teaching and learning practice in various subject domains and educational levels. However, despite this encouraging evidence, research on the explicit benefits of the FCM on K-12 Mathematics education is still scarce and, in some cases, even…
The Development of a Student Survey on Attitudes towards Mathematics Teaching-Learning Processes

ERIC Educational Resources Information Center

Mutohir, Toho Cholik; Lowrie, Tom; Patahuddin, Sitti Maesuri

2018-01-01

This study aimed to develop a survey instrument to measure student attitudes towards mathematics teaching-learning processes that is appropriate for the Indonesian context. This study consisted of two phases: Phase 1 (n = 320) was a pilot study to assess the suitability of the instrument items for Indonesian students. Phase 2 (n = 1001) was…

Malaysian Mathematics Teachers' Beliefs about the Nature of Teaching and Learning

ERIC Educational Resources Information Center

Zikre, Nuraini Mohd; Eu, Leong Kwan

2016-01-01

Teachers play a vital role in nurturing and shaping learners in school. Extensive researches have been conducted showing that beliefs in the nature of teaching and learning held by the teachers will affect their actual classroom practices. In Malaysia, not many studies have been done on mathematics teacher's beliefs at the national level. The…
Opportunities and Challenges: Integration of ICT in Teaching and Learning Mathematics in Secondary Schools, Nairobi, Kenya

ERIC Educational Resources Information Center

Amuko, Sheila; Miheso, Marguerite; Ndeuthi, Sophie

2015-01-01

This presentation is based on a larger study whose purpose was to explore the various opportunities and challenges influencing integration of ICT in teaching and learning Mathematics in secondary schools in Nairobi County. The study, adopted a descriptive survey design. Three instruments questionnaires', a structured interview schedule and an…
Implementing "Big Ideas" to Advance the Teaching and Learning of Science, Technology, Engineering, and Mathematics (STEM)

ERIC Educational Resources Information Center

Chalmers, Christina; Carter, Merilyn; Cooper, Tom; Nason, Rod

2017-01-01

Although education experts are increasingly advocating the incorporation of integrated Science, Technology, Engineering, and Mathematics (STEM) curriculum units to address limitations in much current STEM teaching and learning, a review of the literature reveals that more often than not such curriculum units are not mediating the construction of…
Comparing the Effectiveness of Virtual and Concrete Manipulatives to Teach Algebra to Secondary Students with Learning Disabilities

ERIC Educational Resources Information Center

Satsangi, Rajiv; Bouck, Emily C.; Taber-Doughty, Teresa; Bofferding, Laura; Roberts, Carly A.

2016-01-01

A sizable body of literature exists studying various technologies and pedagogical practices for teaching secondary mathematics curriculum to students with a learning disability in mathematics. However, with the growing footprint of computer-based technologies in today's classrooms, some areas of study, such as the use of virtual manipulatives,…
The Impact of Using Multi-Sensory Approach for Teaching Students with Learning Disabilities

ERIC Educational Resources Information Center

Obaid, Majeda Al Sayyed

2013-01-01

The purpose of this study is to investigate the effect of using the Multi-Sensory Approach for teaching students with learning disabilities on the sixth grade students' achievement in mathematics at Jordanian public schools. To achieve the purpose of the study, a pre/post-test was constructed to measure students' achievement in mathematics. The…
Using multiple metaphors and multimodalities as a semiotic resource when teaching year 2 students computational strategies

NASA Astrophysics Data System (ADS)

Mildenhall, Paula; Sherriff, Barbara

2017-06-01

Recent research indicates that using multimodal learning experiences can be effective in teaching mathematics. Using a social semiotic lens within a participationist framework, this paper reports on a professional learning collaboration with a primary school teacher designed to explore the use of metaphors and modalities in mathematics instruction. This video case study was conducted in a year 2 classroom over two terms, with the focus on building children's understanding of computational strategies. The findings revealed that the teacher was able to successfully plan both multimodal and multiple metaphor learning experiences that acted as semiotic resources to support the children's understanding of abstract mathematics. The study also led to implications for teaching when using multiple metaphors and multimodalities.
Computerized proof techniques for undergraduates

NASA Astrophysics Data System (ADS)

Smith, Christopher J.; Tefera, Akalu; Zeleke, Aklilu

2012-12-01

The use of computer algebra systems such as Maple and Mathematica is becoming increasingly important and widespread in mathematics learning, teaching and research. In this article, we present computerized proof techniques of Gosper, Wilf-Zeilberger and Zeilberger that can be used for enhancing the teaching and learning of topics in discrete mathematics. We demonstrate by examples how one can use these computerized proof techniques to raise students' interests in the discovery and proof of mathematical identities and enhance their problem-solving skills.
Mathematics for Language, Language for Mathematics

ERIC Educational Resources Information Center

Prochazkova, Lenka Tejkalova

2013-01-01

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

ERIC Educational Resources Information Center

Bannister, Nicole A.

2018-01-01

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…
Mathematics, Programming, and STEM

ERIC Educational Resources Information Center

Yeh, Andy; Chandra, Vinesh

2015-01-01

Learning mathematics is a complex and dynamic process. In this paper, the authors adopt a semiotic framework (Yeh & Nason, 2004) and highlight programming as one of the main aspects of the semiosis or meaning-making for the learning of mathematics. During a 10- week teaching experiment, mathematical meaning-making was enriched when primary…
Mathematicians' Perspectives on the Utility of Software

ERIC Educational Resources Information Center

Quinlan, James

2016-01-01

In this study, we examine mathematicians' perspectives of the utility of software in mathematics and the teaching of mathematics. In particular, we report findings from a survey questioning 422 mathematicians with respect to their beliefs regarding the usefulness of software in mathematics research, teaching, and learning; recommended software…
Mexican high school students' social representations of mathematics, its teaching and learning

NASA Astrophysics Data System (ADS)

Martínez-Sierra, Gustavo; Miranda-Tirado, Marisa

2015-07-01

This paper reports a qualitative research that identifies Mexican high school students' social representations of mathematics. For this purpose, the social representations of 'mathematics', 'learning mathematics' and 'teaching mathematics' were identified in a group of 50 students. Focus group interviews were carried out in order to obtain the data. The constant comparative style was the strategy used for the data analysis because it allowed the categories to emerge from the data. The students' social representations are: (A) Mathematics is…(1) important for daily life, (2) important for careers and for life, (3) important because it is in everything that surrounds us, (4) a way to solve problems of daily life, (5) calculations and operations with numbers, (6) complex and difficult, (7) exact and (6) a subject that develops thinking skills; (B) To learn mathematics is…(1) to possess knowledge to solve problems, (2) to be able to solve everyday problems, (3) to be able to make calculations and operations, and (4) to think logically to be able to solve problems; and (C) To teach mathematics is…(1) to transmit knowledge, (2) to know to share it, (3) to transmit the reasoning ability, and (4) to show how to solve problems.
Elementary Mathematics Teachers' Beliefs and Practices: Understanding the Influence of Teaching in a STEAM Setting

ERIC Educational Resources Information Center

Negreiros, Melissa

2017-01-01

Many elementary mathematics teachers hold beliefs about the teaching and learning of mathematics and enact practices that are not aligned with the recommendations of reform efforts in the field of mathematics education (Stigler & Hiebert, 2009). For standards-based reform to gain any significant success, many teachers will have to alter the…
Math Is All around Us: Exploring the Teaching, Learning, and Professional Development of Three Urban Mathematics Teachers

ERIC Educational Resources Information Center

Cosby, Missy; Horton, Akesha; Berzina-Pitcher, Inese

2017-01-01

The MSUrbanSTEM fellowship program aims to support science, technology, engineering, and mathematics (STEM) educators teaching in an urban context. In this chapter, we used a multiple case studies methodology to examine the qualitatively different ways three urban mathematics educators implemented a yearlong project in their mathematics classrooms…
Teachers' Views of the Challenges of Teaching Grade 9 Applied Mathematics in Toronto Schools

ERIC Educational Resources Information Center

Stoilescu, Dorian; McDougall, Douglas; Egodawatte, Gunawardena

2016-01-01

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…
Mathematics education for social justice

NASA Astrophysics Data System (ADS)

Suhendra

2016-02-01

Mathematics often perceived as a difficult subject with many students failing to understand why they learn mathematics. This situation has been further aggravated by the teaching and learning processes used, which is mechanistic without considering students' needs. The learning of mathematics tends to be just a compulsory subject, in which all students have to attend its classes. Social justice framework facilitates individuals or groups as a whole and provides equitable approaches to achieving equitable outcomes by recognising disadvantage. Applying social justice principles in educational context is related to how the teachers treat their students, dictates that all students the right to equal treatment regardless of their background and completed with applying social justice issues integrated with the content of the subject in order to internalise the principles of social justice simultaneously the concepts of the subject. The study examined the usefulness of implementing the social justice framework as a means of improving the quality of mathematics teaching in Indonesia involved four teacher-participants and their mathematics classes. The study used action research as the research methodology in which the teachers implemented and evaluated their use of social justice framework in their teaching. The data were collected using multiple research methods while analysis and interpretation of the data were carried out throughout the study. The findings of the study indicated that there were a number of challengesrelated to the implementation of the social justice framework. The findings also indicated that, the teachers were provided with a comprehensive guide that they could draw on to make decisions about how they could improve their lessons. The interactions among students and between the teachers and the students improved, they became more involved in teaching and learning process. Using social justice framework helped the teachers to make mathematics more relevant to students. This increased relevance led to increasing students' engagement in the teaching and learning process and becoming more accessible to all students. Additionally, the findings have the potential to make a contribution to those seeking to reform mathematics teaching in Indonesia. The results could inform policy makers and professional development providers about how social justice framework might contribute to the educational reform in Indonesia.
Learning Fraction Comparison by Using a Dynamic Mathematics Software--GeoGebra

ERIC Educational Resources Information Center

Poon, Kin Keung

2018-01-01

GeoGebra is a mathematics software system that can serve as a tool for inquiry-based learning. This paper deals with the application of a fraction comparison software, which is constructed by GeoGebra, for use in a dynamic mathematics environment. The corresponding teaching and learning issues have also been discussed.
Learning fraction comparison by using a dynamic mathematics software - GeoGebra

NASA Astrophysics Data System (ADS)

Poon, Kin Keung

2018-04-01

GeoGebra is a mathematics software system that can serve as a tool for inquiry-based learning. This paper deals with the application of a fraction comparison software, which is constructed by GeoGebra, for use in a dynamic mathematics environment. The corresponding teaching and learning issues have also been discussed.
Dynamic and Interactive Mathematics Learning Environments: The Case of Teaching the Limit Concept

ERIC Educational Resources Information Center

Martinovic, Dragana; Karadag, Zekeriya

2012-01-01

This theoretical study is an attempt to explore the potential of the dynamic and interactive mathematics learning environments (DIMLE) in relation to the technological pedagogical content knowledge (TPACK) framework. DIMLE are developed with intent to support learning mathematics through free exploration in a less constrained environment. A…
Investigation of Pre-School Teachers' Beliefs about Mathematics Education in Terms of Their Experience and Structure of Their Education

ERIC Educational Resources Information Center

Karatas, Ilhan; Guven, Bulent; Öztürk, Yasin; Arslan, Selahattin; Gürsöy, Kadir

2017-01-01

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…

The Effect of Cognitive- and Metacognitive-Based Instruction on Problem Solving by Elementary Students with Mathematical Learning Difficulties

ERIC Educational Resources Information Center

Grizzle-Martin, Tamieka

2014-01-01

Children who struggle in mathematics may also lack cognitive awareness in mathematical problem solving. The cognitively-driven program IMPROVE, a multidimensional method for teaching mathematics, has been shown to be helpful for students with mathematical learning difficulties (MLD). Guided by cognitive theory, the purpose of this…
What Is Mathematics? An Exploration of Teachers' Philosophies of Mathematics during a Time of Curriculum Reform

ERIC Educational Resources Information Center

White-Fredette, Kimberly

2009-01-01

Current reform in mathematics teaching and learning is rooted in a changing vision of school mathematics, one that includes constructivist learning, student-centered pedagogy, and the use of worthwhile tasks (National Council of Teachers of Mathematics, 1989, 1991, 2000). This changing vision not only challenges teachers' beliefs about mathematics…
Mathematics Teacher Identity in the Context of Mathematics Reform: Elementary Teacher Experiences

ERIC Educational Resources Information Center

Sun, Jennifer

2017-01-01

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…
From Biology to Mathematical Models and Back: Teaching Modeling to Biology Students, and Biology to Math and Engineering Students

ERIC Educational Resources Information Center

Chiel, Hillel J.; McManus, Jeffrey M.; Shaw, Kendrick M.

2010-01-01

We describe the development of a course to teach modeling and mathematical analysis skills to students of biology and to teach biology to students with strong backgrounds in mathematics, physics, or engineering. The two groups of students have different ways of learning material and often have strong negative feelings toward the area of knowledge…
The Journal of the Society for Accelerative Learning and Teaching. Volume 15, 1990.

ERIC Educational Resources Information Center

Journal of the Society for Accelerative Learning and Teaching, 1990

1990-01-01

Articles in this volume of the Journal of the Society for Accelerative Learning and Teaching (SALT) include the following: "Accelerated Learning Components in Elementary Classrooms"; "Ball-Stick Bird: Teaching with the Story Engram"; "A SALT Pilot Study in College Developmental Mathematics"; "Black Education in…
Making Fractions Meaningful

ERIC Educational Resources Information Center

McCormick, Kelly K.

2015-01-01

To be able to support meaningful mathematical experiences, preservice elementary school teachers (PSTs) must learn mathematics in deep and meaningful ways (Ma 1999). They need to experience investigating and making sense of the mathematics they will be called on to teach. To expand their own--often limited--views of what it means to teach and…
MONTO: A Machine-Readable Ontology for Teaching Word Problems in Mathematics

ERIC Educational Resources Information Center

Lalingkar, Aparna; Ramnathan, Chandrashekar; Ramani, Srinivasan

2015-01-01

The Indian National Curriculum Framework has as one of its objectives the development of mathematical thinking and problem solving ability. However, recent studies conducted in Indian metros have expressed concern about students' mathematics learning. Except in some private coaching academies, regular classroom teaching does not include problem…
Learning To Program in BASIC through the Use of Graphics.

ERIC Educational Resources Information Center

Connor, Timothy J.

Many organizations and experts in the field of mathematics education have recommended the inclusion of technology and, more specifically, computer programing within the course of study for the teaching of school mathematics. The incorporation of these recommendations with respect to the teaching of remedial mathematics poses a problem, since…
Improving Elementary Mathematics and Science Teaching and Learning: Lessons from a School-University Partnership

ERIC Educational Resources Information Center

Norman, Patricia J.; Nordine, Jeffrey

2016-01-01

The challenges of teaching elementary mathematics and science, particularly in urban settings, have been well documented. While evidence exists that sustained professional development in mathematics and science can promote inquiry-oriented instruction and bolster student achievement, little has been written about the particular challenges…
Developing Culturally Responsive Mathematics Teachers: Secondary Teachers' Evolving Conceptions of Knowing Students

ERIC Educational Resources Information Center

Parker, Frieda; Bartell, Tonya Gau; Novak, Jodie D.

2017-01-01

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…
Teaching Primary School Mathematics and Statistics: Evidence-Based Practice

ERIC Educational Resources Information Center

Averill, Robin; Harvey, Roger

2010-01-01

Here is the only reference book you will ever need for teaching primary school mathematics and statistics. It is full of exciting and engaging snapshots of excellent classroom practice relevant to "The New Zealand Curriculum" and national mathematics standards. There are many fascinating examples of investigative learning experiences,…
The Effect of Blended Learning in Mathematics Course

ERIC Educational Resources Information Center

Lin, Ya-Wen; Tseng, Chih-Lung; Chiang, Po-Jui

2017-01-01

With the advent of the digital age, traditional didactic teaching and online learning have been modified and gradually replaced by "Blended Learning." The purpose of this study was to explore the influences of blended learning pedagogy on junior high school student learning achievement and the students' attitudes toward mathematics. To…
Use of Learning Trajectories to Examine Pre-Service Teachers' Mathematics Knowledge for Teaching Area and Perimeter: Emerging Issues

ERIC Educational Resources Information Center

Butterfield, Barbara; Forrester, Tricia; McCallum, Faye; Chinnappan, Mohan

2013-01-01

A current concern is student learning outcomes and these are largely a function of teachers' knowledge and their practice. This position paper is premised on the notion that certain knowledge is required for the teaching of mathematics. An exploration of literature demonstrates that such professional knowledge development can be supported by…
Improving Mathematical Communication Ability and Self Regulation Learning of Junior High Students by Using Reciprocal Teaching

ERIC Educational Resources Information Center

Qohar, Abdul; Sumarmo, Utari

2013-01-01

This paper presents the findings from a posttest experiment control group design by using reciprocal teaching, conducted in Indonesia University of Education to investigate students' ability in mathematical communication and self regulated learning. Subject of the study were 254 of 9th grade students from three junior high schools of high, medium,…
The Pedagogy of Primary Historical Sources in Mathematics: Classroom Practice Meets Theoretical Frameworks

NASA Astrophysics Data System (ADS)

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

2014-01-01

We analyze our method of teaching with primary historical sources within the context of theoretical frameworks for the role of history in teaching mathematics developed by Barbin, Fried, Jahnke, Jankvist, and Kjeldsen and Blomhøj, and more generally from the perspective of Sfard's theory of learning as communication. We present case studies for two of our guided student modules that are built around sequences of primary sources and are intended for learning core curricular material, one on logical implication, the other on the concept of a group. Additionally, we propose some conclusions about the advantages and challenges of using primary sources in teaching mathematics.
Modelling Plane Geometry: the connection between Geometrical Visualization and Algebraic Demonstration

NASA Astrophysics Data System (ADS)

Pereira, L. R.; Jardim, D. F.; da Silva, J. M.

2017-12-01

The teaching and learning of Mathematics contents have been challenging along the history of the education, both for the teacher, in his dedicated task of teaching, as for the student, in his arduous and constant task of learning. One of the topics that are most discussed in these contents is the difference between the concepts of proof and demonstration. This work presents an interesting discussion about such concepts considering the use of the mathematical modeling approach for teaching, applied to some examples developed in the classroom with a group of students enrolled in the discipline of Geometry of the Mathematics curse of UFVJM.
Concept Maps Provide a Window onto Preservice Elementary Teachers' Knowledge in the Teaching and Learning of Mathematics

ERIC Educational Resources Information Center

Chichekian, Tanya; Shore, Bruce M.

2013-01-01

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

ERIC Educational Resources Information Center

Hendriana, Heris; Rohaeti, Euis Eti; Hidayat, Wahyu

2017-01-01

This control-group posttest-only experimental design study aims to investigate the role of learning that teaches metaphorical thinking in mathematical questioning ability of junior high school teachers. The population of this study was mathematics junior high school teachers in West Java province. The samples were 82 mathematics junior high school…
Many Right Answers: Learning in Mathematics through Speaking and Listening

ERIC Educational Resources Information Center

De Geest, Els

2007-01-01

This project, "Many Right Answers: Learning in mathematics through speaking and listening", was initiated to address two issues in the teaching of secondary mathematics: (1) speaking and listening and its relevance to engaging the disengaged; and (2) the use of speaking and listening by teachers of mathematics as part of their Continuous…
Growth in Mathematical Understanding While Learning How To Teach: A Theoretical Perspective.

ERIC Educational Resources Information Center

Cavey, Laurie O.

This theoretical paper outlines a conceptual framework for examining growth in prospective teachers' mathematical understanding as they engage in thinking about and planning for the mathematical learning of others. The framework is based on the Pirie-Kieren (1994) Dynamical Theory for the Growth of Mathematical Understanding and extends into the…

A Foxy Loxy and a Lallapalagram

ERIC Educational Resources Information Center

Wilson, Johnnie B.

2010-01-01

It is easy to fall into the trap of thinking that teaching mathematics should greatly differ from teaching language arts. Classroom teachers at Munich International School in Starnberg, Bavaria, Germany, did not pay much attention to what language means to learning and teaching mathematics--until their geometry students offered language surprises…
The problem-solving approach in the teaching of number theory

NASA Astrophysics Data System (ADS)

Toh, Pee Choon; Hoong Leong, Yew; Toh, Tin Lam; Dindyal, Jaguthsing; Quek, Khiok Seng; Guan Tay, Eng; Him Ho, Foo

2014-02-01

Mathematical problem solving is the mainstay of the mathematics curriculum for Singapore schools. In the preparation of prospective mathematics teachers, the authors, who are mathematics teacher educators, deem it important that pre-service mathematics teachers experience non-routine problem solving and acquire an attitude that predisposes them to adopt a Pólya-style approach in learning mathematics. The Practical Worksheet is an instructional scaffold we adopted to help our pre-service mathematics teachers develop problem-solving dispositions alongside the learning of the subject matter. The Worksheet was initially used in a design experiment aimed at teaching problem solving in a secondary school. In this paper, we describe an application and adaptation of the MProSE (Mathematical Problem Solving for Everyone) design experiment to a university level number theory course for pre-service mathematics teachers. The goal of the enterprise was to help the pre-service mathematics teachers develop problem-solving dispositions alongside the learning of the subject matter. Our analysis of the pre-service mathematics teachers' work shows that the MProSE design holds promise for mathematics courses at the tertiary level.
School Mathematics Leaders' Beliefs about Their Role When Participating in a School Mathematics Project

ERIC Educational Resources Information Center

Sexton, Matt; Downton, Ann

2014-01-01

It is not uncommon in many Australian primary schools for a teaching staff member to undertake the leadership or coordination of mathematics in his or her school. Some research (e.g., Cheeseman & Clarke, 2005) suggests that coordinators and leaders play an important role in the leadership and management of mathematics teaching and learning in…
Mathematics Education as Sociopolitical: Prospective Teachers' Views of the What, Who, and How

ERIC Educational Resources Information Center

Felton-Koestler, Mathew D.

2017-01-01

In this article, I introduce a framework--the What, Who, and How of mathematics--that emerged from studying my teaching of prospective teachers and their views of the social and political dimensions of mathematics teaching and learning. The What, Who, How framework asks us to consider What messages we send about mathematics and the world, Whose…
Implementation of the Multiple Intelligences Theory in the 21st Century Teaching and Learning Environments: A New Tool for Effective Teaching and Learning in All Levels.

ERIC Educational Resources Information Center

Mbuva, James

This paper focuses on the implementation of the multiple intelligences (MI) theory in 21st century teaching and learning environment, suggesting that it offers a new tool for effective teaching and learning at all levels. The eight current MI include: verbal/linguistic, logical/mathematical, visual/spatial, bodily/kinesthetic, musical/rhythmic,…
Frequencies as Proportions: Using a Teaching Model Based on Pirie and Kieren's Model of Mathematical Understanding

ERIC Educational Resources Information Center

Wright, Vince

2014-01-01

Pirie and Kieren (1989 "For the learning of mathematics", 9(3)7-11, 1992 "Journal of Mathematical Behavior", 11, 243-257, 1994a "Educational Studies in Mathematics", 26, 61-86, 1994b "For the Learning of Mathematics":, 14(1)39-43) created a model (P-K) that describes a dynamic and recursive process by which…
The Co-Construction of Learning Difficulties in Mathematics--Teacher-Student Interactions and Their Role in the Development of a Disabled Mathematical Identity

ERIC Educational Resources Information Center

Heyd-Metzuyanim, Einat

2013-01-01

Leaning on a communicational framework for studying social, affective, and cognitive aspects of learning, the present study offers a new look at the construction of an identity of failure in mathematics as it occurs through teaching-learning interactions. Using the case of Dana, an extremely low-achieving student in 7th grade mathematics, I…
Teachers' Perspectives on Their Use of ICT in Teaching and Learning: A Case Study

ERIC Educational Resources Information Center

Kafyulilo, Ayoub; Keengwe, Jared

2014-01-01

This article presents the perspectives of science and mathematics teachers on their use of information and communication technology (ICT) in teaching and learning in Tanzania. The findings show that few teachers used computers for teaching and learning purposes while majority of them used computers for administrative purposes. Additionally,…
Preservice Teachers' Beliefs and Attitude about Teaching and Learning Mathematics through Music: An Intervention Study

ERIC Educational Resources Information Center

An, Song A.; Ma, Tingting; Capraro, Mary Margaret

2011-01-01

This article presents exploratory research investigating the integration of music and a mathematics lesson as an intervention to promote preservice teachers' attitude and confidence and to extend their beliefs toward teaching mathematics integrated with music. Thirty students were randomly selected from 64 preservice teachers in a southern…
Teachers of Mathematics or Numeracy?

ERIC Educational Resources Information Center

Perso, Thelma

2006-01-01

According to this author, the solution to the "phonics versus whole language" debate over the teaching of reading is balance and a focus on the needs of all students. There is similarly a need, in developing numerate young people, to focus on the teaching and learning of mathematics and mathematics skills some of the time, and on…
What Mathematics Do High School Teachers Need to Know?

ERIC Educational Resources Information Center

Gilbert, Michael J.; Coomes, Jacqueline

2010-01-01

Erin has been teaching at Centennial High School for five years. Always an excellent mathematics student, she is nonetheless surprised at the amount of mathematics she has learned since she began teaching. She recently assigned what she thought was a fairly straightforward proportional reasoning task, only to be challenged to understand the…
Using TI-Nspire in a Modelling Teacher's Training Course

ERIC Educational Resources Information Center

Flores, Ángel Homero; Gómez, Adriana; Chávez, Xochitl

2015-01-01

Using Mathematical Modelling has become a useful tool in teaching-learning mathematics at all levels. This is so because mathematical objects are seen from their very applications, giving them meaning from the beginning. In this paper we present some details on the development of a teacher's training course called Modelling in the Teaching of…
Teaching Mathematics in Multilingual Classrooms: Developing Intercultural Competence via a Study Abroad Program

ERIC Educational Resources Information Center

Kasmer, Lisa Anne; Billings, Esther

2017-01-01

This study investigated how a study abroad experience teaching mathematics in Tanzania, Africa impacted a group of secondary education pre-service teachers (PSTs) from the United States. In particular we discuss their ability to facilitate the learning of students in multilingual mathematics classrooms while personally developing intercultural…
Making Sense of Extraneous Solutions

ERIC Educational Resources Information Center

Zelkowski, Jeremy S.

2013-01-01

Principles and Standards for School Mathematics (NCTM 2000) states, "Technology is essential in teaching and learning mathematics; it influences the mathematics that is taught and enhances students' learning." The focus on reasoning and sense making with technology in the lesson presented in this article will enable students to do more…
Preservice Mathematics Teachers' Perceptions of Using a Web 2.0 Technology as a Supportive Teaching-Learning Tool in a College Euclidean Geometry Course

ERIC Educational Resources Information Center

Hossain, Md. Mokter

2012-01-01

This mixed methods study examined preservice secondary mathematics teachers' perceptions of a blogging activity used as a supportive teaching-learning tool in a college Euclidean Geometry course. The effect of a 12-week blogging activity that was a standard component of a college Euclidean Geometry course offered for preservice secondary…
Remembering Zoltan Dienes, a Maverick of Mathematics Teaching and Learning: Applying the Variability Principles to Teach Algebra

ERIC Educational Resources Information Center

Gningue, Serigne Mbaye

2016-01-01

This paper is written in honor of Zoltan Paul Dienes, an internationally renowned mathematician and educator, who passed away in January 2014. It is an attempt to describe, analyze and apply Dienes' theory on how mathematical structures can be taught by applying his four principles of learning upon which he believed a teacher can base concept…
Pedagogical content knowledge: Knowledge of pedagogy novice teachers in mathematics learning on limit algebraic function

NASA Astrophysics Data System (ADS)

Ma'rufi, Budayasa, I. Ketut; Juniati, Dwi

2017-02-01

Teacher is one of the key aspects of student's achievement. Teachers should master content material taught, how to teach it, and can interpret the students' thinking so that students easily understand the subject matter. This research was a qualitative research that aimed at describing profile of PCK's teachers in mathematics on limit algebraic functions in terms of the differences of teaching experience. Pedagogical Content Knowledge (PCK) and understanding of teachers is defined as involving the relationship between knowledge of teaching materials, how to transfer the subject matter, and the knowledge of students in mathematics on limit algebraic functions that the subject matter may be understood by students. The PCK components in this research were knowledge of subject matter, knowledge of pedagogy, and knowledge of students. Knowledge of pedagogy defines as knowledge and understanding of teachers about the planning and organization of the learning and teaching strategy of limit algebraic function. The subjects were two mathematics high school teachers who teach in class XI IPS. Data were collected through observation of learning during five meetings and interviews before and after the lesson continued with qualitative data analysis. Focus of this article was to describe novice teacher's knowledge of student in mathematics learning on limit algebraic function. Based on the results of the analysis of qualitative data the data concluded that novice teacher's knowledge of pedagogy in mathematics on limit algebraic function showed: 1) in teaching the definitions tend to identify prior knowledge of the student experience with the material to be studied, but not in the form of a problem, 2) in posing the questions tend to be monotonous non lead and dig, 3) in response to student questions preservice teachers do not take advantage of the characteristics or the potential of other students, 4) in addressing the problem of students, tend to use the drill approach and did not give illustrations easily to understand by students, 5) in teaching application concepts, tend to explain procedurally, without explaining the reasons why these steps are carried out, 6) less varied in the use of learning strategies.
Considering the Role of K-2 Teachers' Mathematical Knowledge for Teaching Place Value in Mathematics Intervention

ERIC Educational Resources Information Center

Juenke, Carl W.

2017-01-01

A significant number of students receive special education services for mathematics learning disabilities, however, many additional students need mathematics intervention to support their learning in the regular education classroom. A Response to Intervention (RtI) model has been identified as effective in addressing these students' needs;…
Testing the Effectiveness of Mathematical Games as a Pedagogical Tool for Children's Learning

ERIC Educational Resources Information Center

Bragg, Leicha A.

2012-01-01

In an effort to engage children in mathematics learning, many primary teachers use mathematical games and activities. Games have been employed for drill and practice, warm-up activities and rewards. The effectiveness of games as a pedagogical tool requires further examination if games are to be employed for the teaching of mathematical concepts.…
Tablet Technology to Facilitate Improved Interaction and Communication with Students Studying Mathematics at a Distance

ERIC Educational Resources Information Center

Galligan, Linda; Hobohm, Carola; Loch, Birgit

2012-01-01

Teaching and learning of mathematics is challenging when lecturer and students are separated geographically. While student engagement and interaction with the course, with other students and with the lecturer is vital to mathematics learning, it is difficult to facilitate this electronically, because of the nature of mathematics. With tablet…

The Social Outcomes of Learning Mathematics: Standard, Unintended or Visionary?

ERIC Educational Resources Information Center

Ernest, Paul

2015-01-01

Mathematics is a fundamental part of human knowledge and one of the central planks of the modern technological revolution. But in our enthusiasm to promote its benefits too rarely do we stop to question our intended aims of teaching mathematics and the outcomes of learning mathematics in school. In this paper the standard aims of school…
Teaching 5- and 6-Year-Olds to Count: Knowledge of South African Educators

ERIC Educational Resources Information Center

Feza, Nosisi N.

2016-01-01

Mathematics learning and teaching continues to be a challenge in the South African education system. This challenge is observed in the poor performance of students in national and international assessments. Research suggests that teachers' content knowledge and knowledge of teaching mathematics contribute significantly to students' performance. In…
Using U.S. Census Data to Teach Mathematics for Social Justice

ERIC Educational Resources Information Center

Leonard, Jacqueline

2010-01-01

Teachers can use census data to teach important mathematics content while addressing issues of social justice. The author describes activities that teach students to read and write large numbers, interpret census data and statistics, and apply algebraic concepts to describe U.S. population growth. Additional learning outcomes include applying…
Proceeding of the International Scientific Colloquium: MATHEMATICS AND CHILDREN (How to Teach and Learn Mathematics) (Osijek, Croatia, April 13, 2007)

ERIC Educational Resources Information Center

Pavlekovic, Margita, Ed.

2007-01-01

The main aim of the Organisational Committee of the international scientific colloquium Mathematics and Children is to encourage additional scientific research in the field of mathematics teaching in Croatia. The development of science and education is a part of a long-term Education Sector Development Plan 2005-2010. Following the example of…
Caring teaching practices in multiethnic mathematics classrooms: attending to health and well-being

NASA Astrophysics Data System (ADS)

Averill, Robin

2012-06-01

Factors that contribute to strong teacher-student relationships are vital to understand because of the influence these relationships have on achievement and motivation, particularly for minority group students. This article draws from a substantial quantity of empirical data, grounded in a wide theoretical and cultural base, regarding aspects of caring teacher practice to discuss mathematics teacher behaviours in relation to an existing model of health and well-being that encompasses cognitive, social, spiritual, and physical dimensions. Drawing from 100 Year 10 mathematics lesson observations involving six teachers and their classes across three urban schools, evidence emerged that for many indigenous (Māori), New Zealand Pacific, and New Zealand European students, caring teacher behaviours important for student engagement and achievement both include, and range beyond, traditional teaching practices. Examples include capitalising on student reactions and shared endeavours within the context of mathematics learning, expecting mathematical progress, showing respect for students and for their mathematics learning, being explicit about practice and expectations, incorporating one-to-one interactions, making opportunities within mathematics learning for sharing personal identities, and incorporating movement. This research illustrates how mathematics educators can attend to the specific and holistic mathematical learning needs of their students, including those often marginalised.
The Effect of Problem Posing Oriented Analyses-II Course on the Attitudes toward Mathematics and Mathematics Self-Efficacy of Elementary Prospective Mathematics Teachers

ERIC Educational Resources Information Center

Akay, Hayri; Boz, Nihat

2010-01-01

Research on mathematics teaching and learning has recently focused on affective variables, which were found to play an essential role that influences behaviour and learning. Despite its importance, problem posing has not yet received the attention it warrants from the mathematics education community. Perceived self-efficacy beliefs have been found…
New Outcomes: Learning Improvement in Mathematics Integrating Technology - NO LIMIT! An Enhancing Education through Technology Project. Final Report: Years Five and Six (2005-2007)

ERIC Educational Resources Information Center

Popejoy, Kate

2009-01-01

NO LIMIT! (New Outcomes: Learning Improvement in Mathematics Integrating Technology) in Washington state was a six-year initiative originally designed to enhance mathematics teaching and learning in the middle grades through integration of technology, alignment of pedagogical practice with NCTM standards, and strong mentorship of teachers. The…
Using Virtual Manipulative Instruction to Teach the Concepts of Area and Perimeter to Secondary Students with Learning Disabilities

ERIC Educational Resources Information Center

Satsangi, Rajiv; Bouck, Emily C.

2015-01-01

Secondary students with a learning disability in mathematics often struggle with the academic demands presented in advanced mathematics courses, such as algebra and geometry. With greater emphasis placed on problem solving and higher level thinking skills in these subject areas, students with a learning disability in mathematics often fail to keep…
Integrating Touch-Enabled and Mobile Devices into Contemporary Mathematics Education

ERIC Educational Resources Information Center

Meletiou-Mavrotheris, Maria, Ed.; Mavrou, Katerina, Ed.; Paparistodemou, Efi, Ed.

2015-01-01

Despite increased interest in mobile devices as learning tools, the amount of available primary research studies on their integration into mathematics teaching and learning is still relatively small due to the novelty of these technologies. "Integrating Touch-Enabled and Mobile Devices into Contemporary Mathematics Education" presents…
Learning to Teach Mathematics with Technology: A Survey of Professional Development Needs, Experiences and Impacts

ERIC Educational Resources Information Center

Bennison, Anne; Goos, Merrilyn

2010-01-01

The potential for digital technologies to enhance students' mathematics learning is widely recognised, and use of computers and graphics calculators is now encouraged or required by secondary school mathematics curriculum documents throughout Australia. However, previous research indicates that effective integration of technology into classroom…
Science and Mathematics Teachers' Experiences, Needs, and Expectations regarding Professional Development

ERIC Educational Resources Information Center

Chval, Kathryn; Abell, Sandra; Pareja, Enrique; Musikul, Kusalin; Ritzka, Gerard

2008-01-01

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,…
Students' Investigation of a View Tube

ERIC Educational Resources Information Center

Obara, Samuel

2010-01-01

The inquiry-based approach to learning has gained popularity in recent times. Those who promote this approach maintain that mathematical investigation should be used to engage students. The National Council of Teachers of Mathematics (NCTM) recommends that problem solving be the center of mathematics teaching in promoting student learning through…
"Lettuce" Learn Math: Teaching Mathematics with Seeds and Centimeters

ERIC Educational Resources Information Center

Rickard, Laura N.; Wilson, Colette

2006-01-01

"Lettuce Learn Math" is an interdisciplinary program that has effectively linked a small-scale agricultural production system to a sixth-grade mathematics and science curriculum. The mathematical concepts and skills, including measurement and geometry, taught in this project met and often exceeded the standards set by New York state for…
Improving mathematics teaching and learning experiences for hard of hearing students with wireless technology-enhanced classrooms.

PubMed

Liu, Chen-Chung; Chou, Chien-Chia; Liu, Baw-Jhiune; Yang, Jui-Wen

2006-01-01

Hard of hearing students usually face more difficulties at school than other students. A classroom environment with wireless technology was implemented to explore whether wireless technology could enhance mathematics learning and teaching activities for a hearing teacher and her 7 hard of hearing students in a Taiwan junior high school. Experiments showed that the highly interactive communication through the wireless network increased student participation in learning activities. Students demonstrated more responses to the teacher and fewer distraction behaviors. Fewer mistakes were made in in-class course work because Tablet PCs provided students scaffolds. Students stated that the environment with wireless technology was desirable and said that they hoped to continue using the environment to learn mathematics.
Teaching and Learning Numerical Analysis and Optimization: A Didactic Framework and Applications of Inquiry-Based Learning

ERIC Educational Resources Information Center

Lappas, Pantelis Z.; Kritikos, Manolis N.

2018-01-01

The main objective of this paper is to propose a didactic framework for teaching Applied Mathematics in higher education. After describing the structure of the framework, several applications of inquiry-based learning in teaching numerical analysis and optimization are provided to illustrate the potential of the proposed framework. The framework…
Development and Validation of a New Measure of Faculty Assessments of Reformed Teaching and Learning Practices

ERIC Educational Resources Information Center

Ellett, Chad D.; Monsaas, Judy; Martin-Hansen, Lisa; Demir, Abdulkadir

2012-01-01

This study reports on the continued large-sample validation of the Inventory for Teaching and Learning (ITAL), a new teacher perception measure of "reformed (inquiry- and standards-based) and traditional teaching and learning" developed for use in science and mathematics classrooms. The continued validation of the ITAL used large samples…
Negotiating about Perceived Value Differences in Mathematics Teaching: The Case of Immigrant Teachers in Australia

ERIC Educational Resources Information Center

Seah, Wee Tiong

2005-01-01

This paper reports on a qualitative research study exploring the socialisation experiences of immigrant secondary mathematics teachers practising in Australia. Teacher perception of differences in the ways their respective home and the Australian (host) cultures value aspects of mathematics teaching and learning was observed to lead to dissonance.…
An Example of Using History of Mathematics in Classes

ERIC Educational Resources Information Center

Goktepe, Sevda; Ozdemir, Ahmet Sukru

2013-01-01

In recent years, the topic of integrating history to mathematics lessons in teaching-learning processes has been frequently discussed among researchers. The main aim of this study is to present an example activity which enriched with history of mathematics and to take the views of students about teaching course in this way. In addition, to create…
Eisenhower Southwest Consortium for the Improvement of Mathematics and Science Teaching Cumulative Report for FY96-00.

ERIC Educational Resources Information Center

Southwest Educational Development Lab., Austin, TX. Southwest Consortium for the Improvement of Mathematics and Science Teaching.

This report presents activities, accomplishments, and conclusions of the Eisenhower Southwest Consortium for the Improvement of Mathematics and Science Teaching (SCIMAST) for the fiscal years 1996-2000. SCIMAST was established in 1992 and supports mathematics and science learning in the states of Arkansas, Louisiana, New Mexico, Oklahoma, and…
The Affordances of Using a Flipped Classroom Approach in the Teaching of Mathematics: A Case Study of a Grade 10 Mathematics Class

ERIC Educational Resources Information Center

Muir, Tracey; Geiger, Vince

2016-01-01

Teaching secondary mathematics has a number of challenges, including the expectations that teachers cover the prescribed curriculum, help students learn difficult concepts, prepare students for future studies, and, increasingly, that they do so incorporating digital technologies. This study investigates a teacher's, and his students', perceptions…

Computational Technique for Teaching Mathematics (CTTM): Visualizing the Polynomial's Resultant

ERIC Educational Resources Information Center

Alves, Francisco Regis Vieira

2015-01-01

We find several applications of the Dynamic System Geogebra--DSG related predominantly to the basic mathematical concepts at the context of the learning and teaching in Brasil. However, all these works were developed in the basic level of Mathematics. On the other hand, we discuss and explore, with DSG's help, some applications of the polynomial's…
Analysis of the Mathematical Proof Skills of Students of Science Teaching

ERIC Educational Resources Information Center

Gökkt, Burçin; Soylu, Yasin; Sahin, Ömer

2014-01-01

Mathematics and proof are two closely related concepts. Mathematics not only shows what is right or wrong, but it also teaches that it is not enough to know the latest formulas and results should be explained with causality. In this context, students learn the underlying meaning behind what mathematicians do by way of proofs. Accordingly, this…
An appraisal of an online tutorial system for the teaching and learning of engineering physics in conjunction with contextual physics and mathematics, and relevant mathematics

NASA Astrophysics Data System (ADS)

Bhathal, Ragbir

2016-09-01

The number of students entering engineering schools in Australian universities has increased tremendously over the last few years because of the Australian Federal Government's policy of increasing the participation rates of Higher School Certificate students and students from low social economic status backgrounds in the tertiary sector. They now come with a diverse background of skills, motivations and prior knowledge. It is imperative that new methods of teaching and learning be developed. This paper describes an online tutorial system used in conjunction with contextual physics and mathematics, and the revision of the relevant mathematical knowledge at the appropriate time before a new topic is introduced in the teaching and learning of engineering physics. Taken as a whole, this study shows that students not only improved their final examination results but there was also an increase in the retention rate of first-year engineering students which has financial implications for the university.
Learning to Attend to Precision: The Impact of Micro-Teaching Guided by Expert Secondary Mathematics Teachers on Pre-Service Teachers' Teaching Practice

ERIC Educational Resources Information Center

Cheng, Jing

2017-01-01

Micro-teaching at universities and student teaching in secondary schools are standard forms of practice training for pre-service mathematics teachers in Chinese university teacher education programs. The former is guided by university professors, and the latter is guided by school teachers. In recent years, a special kind of micro-teaching…
Teaching undergraduate mathematics in interactive groups: how does it fit with students' learning?

NASA Astrophysics Data System (ADS)

Sheryn, Louise; Ell, Fiona

2014-08-01

Debates about how undergraduate mathematics should be taught are informed by different views of what it is to learn and to do mathematics. In this qualitative study 10 students enrolled in an advanced undergraduate course in mathematics shared their views about how they best learn mathematics. After participating in a semester-long course in combinatorics, taught using a non-traditional, formal group work approach, the 10 students shared their views about how such an approach fitted in with their experience of learning mathematics. A descriptive thematic analysis of the students' responses revealed that despite being very comfortable with the traditional approach to learning new mathematics, most students were open to a formal group work approach and could see benefits from it after their participation. The students' prior conceptions of the goal of undergraduate mathematics learning and their view of themselves as 'mathematicians' framed their experience of learning mathematics in a non-traditional class.
ICT integration in mathematics initial teacher training and its impact on visualization: the case of GeoGebra

NASA Astrophysics Data System (ADS)

Dockendorff, Monika; Solar, Horacio

2018-01-01

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

ERIC Educational Resources Information Center

Sisofo, Eric Joseph

2010-01-01

The use of student thinking in teaching has been linked to improved instruction and learning. It is reasonable to assume that the University of Delaware's undergraduate program might be interested in figuring out ways to develop this skill in its mathematics specialist pre-service teachers. Currently, the student teaching experience at the…
Precision in the Teaching, Learning, and Communication of Elementary School Mathematics: A Reply to Wilson's "Elementary School Mathematics Priorities"

ERIC Educational Resources Information Center

Maher, Carolyn; Weber, Keith

2009-01-01

In "Elementary School Mathematics Priorities," Wilson (2009 [this issue]) presents a list of five core concepts that students should master in elementary school so that they can succeed in algebra. As researchers in mathematics education, the authors enthusiastically endorse Wilson's recommendations. Learning algebra is key to further study of…
"Let's Count": Improving Community Approaches to Early Years Mathematics Learning, Teaching and Dispositions through Noticing, Exploring and Talking about Mathematics

ERIC Educational Resources Information Center

Perry, Bob; Hampshire, Ann; Gervaxoni, Ann; O'Neill, Will

2016-01-01

"Let's Count" is a preschool mathematics intervention implemented by The Smith Family from 2012 to the present in "disdvantaged" communities across Australia. It is based on current mathematics and early childhood education research and aligns with the Early Years Learning Framework. Let's Count has been shown to be effective…
Relating Difficulty in School Mathematics to Nature of Mathematics: Perception of High School Students from Kerala

ERIC Educational Resources Information Center

Gafoor, Kunnathodi Abdul; Sarabi, M. K.

2015-01-01

This study relates factors in nature of Mathematics and its teaching learning to student difficulties for diverse mathematics tasks. Descriptive survey was done on a sample of 300 high school students in Kerala with a questionnaire on difficulties in learning. Student perception of difficulty on 26 types of tasks, under five heads that students…
Creating Tesselations with Pavement Chalk: Implementing Best Practices in Mathematics

ERIC Educational Resources Information Center

Furner, Joseph M.; Goodman, Barbara; Meeks, Shirley

2004-01-01

Implementing best practices like cooperative learning, using concrete manipulatives, problem solving, technology, active learning, multi-age grouping, and team teaching have shown benefits for students when learning mathematics concepts within the curriculum (Zemelman, Daniels & Hyde, 1998; NCTM, 2000). What started as a professional development…
Upper Primary School Teachers' Mathematical Knowledge for Teaching Functional Thinking in Algebra

ERIC Educational Resources Information Center

Wilkie, Karina J.

2014-01-01

This article is based on a project that investigated teachers' knowledge in teaching an important aspect of algebra in the middle years of schooling--functions, relations and joint variation. As part of the project, 105 upper primary teachers were surveyed during their participation in Contemporary Teaching and Learning of Mathematics, a research…
Playing with Maths: Implications for Early Childhood Mathematics Teaching from an Implementation Study in Melbourne, Australia

ERIC Educational Resources Information Center

Cohrssen, Caroline; Tayler, Collette; Cloney, Dan

2015-01-01

The Early Years Learning Framework for Australia governs early childhood education in the years before school in Australia. Since this framework is not a curriculum, early childhood educators report uncertainty regarding what mathematical concepts to teach and how to teach them. This implementation study, positioned within the broader E4Kids…
Developing Mathematical Knowledge for Teaching in a Methods Course: The Case of Function

ERIC Educational Resources Information Center

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

2013-01-01

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

ERIC Educational Resources Information Center

Freeburn, Ben; Arbaugh, Fran

2017-01-01

"Principles to Actions: Ensuring Mathematical Success for All" (NCTM 2014, p. 10) contains eight research-informed teaching practices that have been shown to support students' mathematical thinking and learning. Two teaching practices highlighted herein are "to elicit and use evidence of students' thinking" and "support…
A Capstone Mathematics Course for Prospective Secondary Mathematics Teachers

ERIC Educational Resources Information Center

Artzt, Alice F.; Sultan, Alan; Curcio, Frances R.; Gurl, Theresa

2012-01-01

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…
Assessing the Effectiveness of STAD Model and Problem Based Learning in Mathematics Learning Achievement and Problem Solving Ability

ERIC Educational Resources Information Center

Rattanatumma, Tawachai; Puncreobutr, Vichian

2016-01-01

The objective of this study was to compare the effectiveness of teaching methods in improving Mathematics Learning Achievement and Problem solving ability of students at an international college. This is a Quasi-Experimental Research which was done the study with the first year students who have registered to study Mathematics subject at St.…
Facilitating Mathematical Practices through Visual Representations

ERIC Educational Resources Information Center

Murata, Aki; Stewart, Chana

2017-01-01

Effective use of mathematical representation is key to supporting student learning. In "Principles to Actions: Ensuring Mathematical Success for All" (NCTM 2014), "use and connect mathematical representations" is one of the effective Mathematics Teaching Practices. By using different representations, students examine concepts…
Mathematics and academic diversity in Japan.

PubMed

Woodward, John; Ono, Yumiko

2004-01-01

Japanese education has been the subject of considerable research and educational commentary in the United States over the last 20 years. Since the early 1990s, there has been increased interest in Japanese methods for teaching mathematics, and the Third International Mathematics and Science Study has accelerated American interest in Japanese methods. Observational studies, teacher and student surveys, and analyses of classroom videotapes have provided a rich picture of how the Japanese teach the whole class. However, little has been written about how academically low-achieving math students fare in Japanese schools. This article briefly summarizes Japanese methods for teaching mathematics and describes how the educational system addresses academic diversity. It concludes with a description of a method for teaching mathematics that some Japanese mathematics educators feel has promise for students with learning disabilities.
Assessing the Potential of Mathematics Textbooks to Promote Deep Learning

ERIC Educational Resources Information Center

Shield, Malcolm; Dole, Shelley

2013-01-01

Curriculum documents for mathematics emphasise the importance of promoting depth of knowledge rather than shallow coverage of the curriculum. In this paper, we report on a study that explored the analysis of junior secondary mathematics textbooks to assess their potential to assist in teaching and learning aimed at building and applying deep…

Mathematical Making in Teacher Preparation: What Knowledge Is Brought to Bear?

ERIC Educational Resources Information Center

Greenstein, Steven; Seventko, Justin

2017-01-01

In this paper, we describe an experience within mathematics teacher preparation that engages preservice teachers (PSTs) in Making and design practices that we hypothesized would inform their conceptual and pedagogical thinking. With a focus on the design of new tools to support mathematics teaching and learning, this Learning by Design experience…
The Effect of Geogebra on Students' Conceptual and Procedural Knowledge: The Case of Applications of Derivative

ERIC Educational Resources Information Center

Ocal, Mehmet Fatih

2017-01-01

Integrating the properties of computer algebra systems and dynamic geometry environments, Geogebra became an effective and powerful tool for teaching and learning mathematics. One of the reasons that teachers use Geogebra in mathematics classrooms is to make students learn mathematics meaningfully and conceptually. From this perspective, the…
Language Issues in Teaching and Learning of Mathematics

ERIC Educational Resources Information Center

Nath, Baiju. K.; V., Vineesha

2009-01-01

Today as in the past, many students struggle with mathematics and become affected as they continually encounter obstacles to engagement. Mathematics is generally seen as a difficult subject and how this subject is communicated to pupils will influence how pupils learn the subject. Classroom routines play an important role in developing students'…
The Challenge to Situate Digital Learning Technologies in Preservice Teacher Mathematics Education

ERIC Educational Resources Information Center

McDonald, Susan

2012-01-01

This paper focuses on how preservice primary teachers can be supported to embrace digital learning technologies (DLTs) in their teaching of mathematics. The nature of the instruction and the assessment in the final mathematics unit of the bachelor of education program were changed. Despite being tagged as "tech-savvy," preservice…
Learning Style Preferences and Mathematics Achievement of Secondary School Learners

ERIC Educational Resources Information Center

Bosman, Anne; Schulze, Salome

2018-01-01

Mathematics is a key subject necessary to the promotion of economic development, particularly in developing countries; however, South African learners perform poorly in Mathematics when benchmarked against their counterparts in other countries. One way to address this issue is by taking cognisance of the learners' learning styles when teaching.…
GeoGebra in Professional Development: The Experience of Rural Inservice Elementary School (K-8) Teachers

ERIC Educational Resources Information Center

Bu, Ligguo; Mumba, Frackson; Henson, Harvey; Wright, Mary

2013-01-01

GeoGebra is an emergent open-source Dynamic and Interactive Mathematics Learning Environment (DIMLE) (Martinovic & Karadag, 2012) that invites a modeling perspective in mathematics teaching and learning. In springs of 2010 and 2012, GeoGebra was integrated respectively into two online professional development courses on mathematical problem…
A Reconceptualized Framework for "Opportunity to Learn" in School Mathematics

ERIC Educational Resources Information Center

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

2017-01-01

We present a reconceptualized framework for opportunity to learn (OTL) in school mathematics that builds on previous conceptualizations of OTL and includes features related to both quantity (i.e., time) and quality. Our framework draws on existing literature and on our own observational research of mathematics teaching practices. Through the…
Different Procedures for Solving Mathematical Word Problems in High School

ERIC Educational Resources Information Center

Gasco, Javier; Villarroel, Jose Domingo; Zuazagoitia, Dani

2014-01-01

The teaching and learning of mathematics cannot be understood without considering the resolution of word problems. These kinds of problems not only connect mathematical concepts with language (and therefore with reality) but also promote the learning related to other scientific areas. In primary school, problems are solved by using basic…
Mathematics Beliefs, Instructional Strategies, and Algebra Achievement of Adolescent Students in Japan: Results from the TIMSS 1999 Assessment

ERIC Educational Resources Information Center

House, J. Daniel

2006-01-01

An important area for the application of instructional design is the development of effective teaching strategies for mathematics. Activities that include the use of computers, cooperative learning, and active learning materials are associated with mathematics achievement. Student self-beliefs are also significantly related to mathematics…
Reform in Undergraduate Science, Technology, Engineering, and Mathematics: The Classroom Context

ERIC Educational Resources Information Center

Stage, Frances K.; Kinzie, Jillian

2009-01-01

This article reports the results of a series of site visits examining modifications to science, technology, engineering, and mathematics (STEM) teaching and learning based on reform on three differing campuses. Innovations in stem classrooms included collaborative approaches to learning; incorporation of active learning, authentic contexts, peer…
Women Teachers' Experiences of Learning Mathematics

ERIC Educational Resources Information Center

Adams, Gill

2013-01-01

Continued concern over attainment and participation in secondary school mathematics has led to a focus on improving the quality of teaching and student outcomes through a variety of professional learning opportunities. A study of teacher professional identity serves to illuminate this learning; this constant process of sensemaking (Day and Kington…
Investigating Functions Using Real-World Data

ERIC Educational Resources Information Center

Arnold, Stephen

2006-01-01

The possibilities for using graphic calculators to enhance the teaching and learning of mathematics are great. However, the boundaries explode when these powerful tools for learning are connected to data logging devices: a whole new approach to mathematics learning becomes possible. Using real world data to introduce the main functions (which are…
Using Blended Learning in Developing Student Teachers Teaching Skills

ERIC Educational Resources Information Center

Isman, Aytekin; Abanmy, Fahad AbdulAziz; Hussein, Hisham Barakat; Al Saadany, Mohammed Abdelrahman

2012-01-01

The research aims to determine the effectiveness of using blended learning Approach in developing student teachers teaching skills, and defining teaching skills that confront students of teachers college at King Saud University need it. The research uses the Quasi- Experimental approach, with four experimental groups (Mathematics (21)--Science…
Factors predicting teachers' attitudes towards the use of ICT in teaching and learning

NASA Astrophysics Data System (ADS)

Ayub, Ahmad Fauzi Mohd; Bakar, Kamariah Abu; Ismail, Rohayati

2015-10-01

Technology has revolutionized in the field of Education. The importance of technology in schools cannot be ignored. While it is important that mathematics teachers should have positive attitudes towards adopting ICT in their teaching, various problems can arise when integrating ICT into classroom lessons. This study explored the factors that influence the attitudes of mathematic teachers in the integration of ICT in the teaching and learning process. A total of 187 mathematics teachers from the state of Selangor in Malaysia were randomly selected from a stratified cluster sample. The research examined five factors that were postulated to impact teachers' attitudes towards the integration of ICT in their lessons, viz. teachers' technology competence, school culture, access to ICT, school support, and years of classroom teaching experience. The findings showed that the teachers' attitudes towards using ICT in teaching and learning were positively correlated with the teachers' technology competence [r = .41; p < .01], ICT school culture [r = .261; p < .01], school support [r = .366; p < .01] and access to ICT resources [r = .220; p < .01]. However, a negative relationship existed between years of teaching and attitudes towards using ICT in teaching and learning [r = -0.192; p < .01]. A multiple regression analysis showed that 29.1% of the variation in teachers' attitudes towards using ICT in the classroom was explained by the variation in teachers' technology competence, school support and school culture, with the effects of teaching experience and ICT resource access being negligible.
Hands-On Mathematics: Two Cases from Ancient Chinese Mathematics

ERIC Educational Resources Information Center

Wang, Youjun

2009-01-01

In modern mathematical teaching, it has become increasingly emphasized that mathematical knowledge should be taught by problem-solving, hands-on activities, and interactive learning experiences. Comparing the ideas of modern mathematical education with the development of ancient Chinese mathematics, we find that the history of mathematics in…
Using Digital Technologies in Mathematics Teaching: Developing an Understanding of the Landscape Using Three "Grand Challenge" Themes

ERIC Educational Resources Information Center

Joubert, Marie

2013-01-01

This paper develops an understanding of the issues, interests and concerns within the mathematics education community related to the use of computers and other digital technologies in the teaching and learning of mathematics. It begins by arguing for the importance of understanding this landscape of interests and concerns, and then turns to the…
The Professional Preparation of Malaysian Teachers in the Implementation of Teaching and Learning of Mathematics and Science in English

ERIC Educational Resources Information Center

Idris, Noraini; Cheong, Loh Sau; Nor, Norjoharuddeen Mohd.; Razak, Ahmad Zabidi Abdul; Saad, Rahimi Md.

2007-01-01

Malaysia is in the process of changing the medium of instruction for mathematics and science from Malay to English since 2003. To ensure the success of this transition, teachers have to be professional prepared to teach in English. This research aimed to survey the Malaysian science/mathematics teachers' perception towards this professional…
Small Schools Mathematics Curriculum, 4-6: Reading, Language Arts, Mathematics, Science, Social Studies. Scope, Objectives, Activities, Resources, Monitoring Procedures.

ERIC Educational Resources Information Center

Hartl, David, Ed.; And Others

The Washington grade 4-6 mathematics curriculum is organized according to the Small Schools Materials format which lists the sequence of learning objectives related to a specific curriculum area, recommends a teaching and mastery grade placement, and identifies activities, monitoring procedures and possible resources used in teaching to the…
Managing Your Mathematics Program: A Total System. A Guide to the U-SAIL Basic Mathematics System.

ERIC Educational Resources Information Center

Hales, Carma M.; Jones, Maurine E.

The Utah System Approach to Individual Learning (U-SAIL) Mathematics System was developed to make it possible for teachers to provide excellence in arithmetic instruction. It is based on the premise that in order to teach arithmetic well, teachers must accurately assess, teach directly, provide students with focused practice, corrective feedback,…
Screencasting to Support Effective Teaching Practices

ERIC Educational Resources Information Center

Thomas, Amanda

2017-01-01

Increasing availability of digital devices in elementary school classrooms presents exciting new opportunities for teachers to support the teaching and learning of mathematics. Although many of the math applications available for these devices focus on drill and practice of mathematical procedures, screencasting apps can help support effective…

"Learning by Doing": A Teaching Method for Active Learning in Scientific Graduate Education

ERIC Educational Resources Information Center

Bot, Ludovic; Gossiaux, Pol-Bernard; Rauch, Carl-Philippe; Tabiou, Safouana

2005-01-01

This article describes an active learning method for the teaching of physical sciences and mathematics to engineers. After defining the challenges involved in the training of engineers, we shall describe the answers provided by our method, "learning by doing" (named "Apprentissage Par l"Action" in French), by introducing…
A case study of effective practice in mathematics teaching and learning informed by Valsiner's zone theory

NASA Astrophysics Data System (ADS)

Geiger, Vince; Anderson, Judy; Hurrell, Derek

2017-02-01

The characteristics that typify an effective teacher of mathematics and the environments that support effective teaching practices have been a long-term focus of educational research. In this article we report on an aspect of a larger study that investigated `best practice' in mathematics teaching and learning across all Australian states and territories. A case study from one Australian state was developed from data collected via classroom observations and semi-structured interviews with school leaders and teachers and analysed using Valsiner's zone theory. A finding of the study is that `successful' practice is strongly tied to school context and the cultural practices that have been developed by school leaders and teachers to optimise student learning opportunities. We illustrate such an alignment of school culture and practice through a vignette based on a case of one `successful' school.
Teaching Strategies to Improve Algebra Learning

ERIC Educational Resources Information Center

Zbiek, Rose Mary; Larson, Matthew R.

2015-01-01

Improving student learning is the primary goal of every teacher of algebra. Teachers seek strategies to help all students learn important algebra content and develop mathematical practices. The new Institute of Education Sciences[IES] practice guide, "Teaching Strategies for Improving Algebra Knowledge in Middle and High School Students"…
Reaching All Students with Mathematics.

ERIC Educational Resources Information Center

Cuevas, Gilbert, Ed.; Driscoll, Mark, Ed.

The National Council of Teachers of Mathematics'"Curriculum and Evaluation Standards for School Mathematics" and "Professional Standards for Teaching Mathematics" reflect the belief that all students can learn a significant core of high-quality mathematics. Recognizing the magnitude of the task of reaching all students, this…
Wired for Mathematics: A Conversation with Brian Butterworth.

ERIC Educational Resources Information Center

D'Arcangelo, Marcia

2001-01-01

Interview with neuropsychologist Brain Butterworth about what research has revealed about how the brain learns abstract concepts such as mathematics and the implications of these findings for teaching mathematics. (PKP)
Students, Computers and Mathematics the Golden Trilogy in the Teaching-Learning Process

ERIC Educational Resources Information Center

García-Santillán, Arturo; Escalera-Chávez, Milka Elena; López-Morales, José Satsumi; Córdova Rangel, Arturo

2014-01-01

In this paper we examine the relationships between students' attitudes towards mathematics and technology, therefore, we take a Galbraith and Hines' scale (1998, 2000) about mathematics confidence, computer confidence, computer and mathematics interaction, mathematics motivation, computer motivation, and mathematics engagement. 164 questionnaires…
Memorizing Is Not a Dirty Word: What Should a Mathematics Teacher Know to Use It Effectively in Teaching and Learning Mathematics?

ERIC Educational Resources Information Center

Sharma, Mahesh C.

1985-01-01

This bulletin concerns the role of memorization in mathematics instruction. Sections of the bulletin are devoted to discussions of: old math vs. new math; the importance of memorization ability on mathematics learning; misconceptions about memory; how to enhance the memory, including short-term vs. long-term memory systems, attention, interest,…
Classroom Network Technology as a Support for Systemic Mathematics Reform: The Effects of TI MathForward on Student Achievement in a Large, Diverse District

ERIC Educational Resources Information Center

Penuel, William; Singleton, Corinne; Roschelle, Jeremy

2011-01-01

Low-cost, portable classroom network technologies have shown great promise in recent years for improving teaching and learning in mathematics. This paper explores the impacts on student learning in mathematics when a program to introduce network technologies into mathematics classrooms is integrated into a systemic reform initiative at the…
Exploring the use of tablet technology as a teaching tool at Kolej Matrikulasi Perak

NASA Astrophysics Data System (ADS)

Mohamad Amirnudin, Mohamad Tahar; Sulaiman, Hajar

2013-04-01

The use of technology in teaching and learning (T&L) of mathematics is gaining popularity these days. There are various technologies that are designed to facilitate the process of learning, such as graphic calculators, three-dimensional projectors and multimedia softwares. Tablet is a portable technology used as a tool for communication and information search. In addition, it can also be used as a teaching aid. Galaxy Tab (tab) is a tablet produced by the giant company SAMSUNG which uses Android operating system. For this study, the researcher had to download and install the two softwares, SynSpace and Google + into the tab. The purpose of this study was to explore the use of tabs in the T&L of mathematics and get the students' perceptions. This study is divided into five phases. In Phase One, the researcher prepared the lesson plan. In the Second Phase, a workshop was conducted to introduce the students to the basic use of tab which contained two modules: Module 1 was on Syncspace Applications and Module 2 was on Google+. Third phase involves teaching and learning mathematics using tab. In Phase Four, questionnaires were distributed and then collected to obtain the data for analysis. In Phase Five, the collected data was analyzed using simple statistics involving frequency tables and bar charts. The findings showed that the use of tab in teaching and learning mathematics was accepted very by the students at Kolej Matrikulasi Perak.
The Relationships among Pre-Service Mathematics Teachers' Beliefs about Mathematics, Mathematics Teaching, and Use of Technology in China

ERIC Educational Resources Information Center

Yang, Xinrong; Leung, Frederick K. S.

2015-01-01

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…
Knowledge Base of Mathematics Teacher Educators: A Goals-Knowledge-Practice Approach

ERIC Educational Resources Information Center

Veselovsky, Aleksandra

2017-01-01

Critical analysis of the literature reveals that many questions about the knowledge and practice of mathematics teacher educators (MTEs) remain in need of further research: how do they know what to teach; how do they learn how to teach teachers; how do they prepare to teach their courses; how does the research on teacher education inform their…
Teaching with Technology: Exploring the Use of Robotics to Teach Mathematics

ERIC Educational Resources Information Center

Attard, Catherine

2012-01-01

In this article, the author explores the value of using simple robotics such as BeeBots and ProBots to enhance the teaching and learning of mathematics in the primary classroom. Before making the decision to use such technologies, it is important that they be evaluated in terms of their affordances and constraints. In other words, teachers need to…
Improving Quality in Teaching Statistics Concepts Using Modern Visualization: The Design and Use of the Flash Application on Pocket PCs

ERIC Educational Resources Information Center

Vaughn, Brandon K.; Wang, Pei-Yu

2009-01-01

The emergence of technology has led to numerous changes in mathematical and statistical teaching and learning which has improved the quality of instruction and teacher/student interactions. The teaching of statistics, for example, has shifted from mathematical calculations to higher level cognitive abilities such as reasoning, interpretation, and…
An Analysis of Didactic and Inquiry-Based Teaching and Learning on Student Achievement in Urban Elementary Schools

ERIC Educational Resources Information Center

Varnado, Jacqueline

2011-01-01

Limited research has been conducted on inquiry based teaching strategies on language arts and mathematics instruction. The research problem at the study site was the lack of research-based findings on the effectiveness of traditional and inquiry based teaching strategies on language arts and mathematics instruction. The purpose of this case study…
Formal logic rewrite system bachelor in teaching mathematical informatics

NASA Astrophysics Data System (ADS)

Habiballa, Hashim; Jendryscik, Radek

2017-07-01

The article presents capabilities of the formal rewrite logic system - Bachelor - for teaching theoretical computer science (mathematical informatics). The system Bachelor enables constructivist approach to teaching and therefore it may enhance the learning process in hard informatics essential disciplines. It brings not only detailed description of formal rewrite process but also it can demonstrate algorithmical principles for logic formulae manipulations.
Using History to Teach Mathematics: The Case of Logarithms

NASA Astrophysics Data System (ADS)

Panagiotou, Evangelos N.

2011-01-01

Many authors have discussed the question why we should use the history of mathematics to mathematics education. For example, Fauvel (For Learn Math, 11(2): 3-6, 1991) mentions at least fifteen arguments for applying the history of mathematics in teaching and learning mathematics. Knowing how to introduce history into mathematics lessons is a more difficult step. We found, however, that only a limited number of articles contain instructions on how to use the material, as opposed to numerous general articles suggesting the use of the history of mathematics as a didactical tool. The present article focuses on converting the history of logarithms into material appropriate for teaching students of 11th grade, without any knowledge of calculus. History uncovers that logarithms were invented prior of the exponential function and shows that the logarithms are not an arbitrary product, as is the case when we leap straight in the definition given in all modern textbooks, but they are a response to a problem. We describe step by step the historical evolution of the concept, in a way appropriate for use in class, until the definition of the logarithm as area under the hyperbola. Next, we present the formal development of the theory and define the exponential function. The teaching sequence has been successfully undertaken in two high school classrooms.
Workplace Math. EPIC Workplace Learning Project, 1996.

ERIC Educational Resources Information Center

King, Catherine; Cyr, Anne Reis; Gross, Mary; Armstrong, Ray

Designed as a reference for teaching mathematics in the workplace, this manual presents teaching strategies and activities for beginning, intermediate, and advanced learners in four mathematics-related topics. Following an overview of the manual's purpose, definitions are provided of the three skill levels targeted by the activities. Strategies…
Utilization of Information and Communication Technologies in Mathematics Learning

ERIC Educational Resources Information Center

Saadati, Farzaneh; Tarmizi, Rohani Ahmad; Ayub, Ahmad Fauzi Mohd

2014-01-01

Attention to integrate technology in teaching and learning has provided a major transformation in the landscape of education. Therefore, many innovations in teaching and learning have been technology-driven. The study attempted to examine what is engineering students' perception regarding the use of Information and Communication Technologies (ICT)…
Learning the Language of Statistics: Challenges and Teaching Approaches

ERIC Educational Resources Information Center

Dunn, Peter K.; Carey, Michael D.; Richardson, Alice M.; McDonald, Christine

2016-01-01

Learning statistics requires learning the language of statistics. Statistics draws upon words from general English, mathematical English, discipline-specific English and words used primarily in statistics. This leads to many linguistic challenges in teaching statistics and the way in which the language is used in statistics creates an extra layer…
Tablets and Applications to Tell Mathematics' History in High School

ERIC Educational Resources Information Center

Dias, Eduardo Jesus; Araujo, Carlos Fernando, Jr.; Ota, Marcos Andrei

2017-01-01

In this article, we suggest that the history in Mathematics Education combined with mobile technology, can provide analysis of concepts, theories and significant logical structures in the process of teaching and learning of Mathematics, as the main objective of this study is to analyze the students' motivation and learning using tablets in the…

Teaching with Procedural Variation: A Chinese Way of Promoting Deep Understanding of Mathematics

ERIC Educational Resources Information Center

Lai, Mun Yee; Murray, Sara

2012-01-01

In mathematics education, there has been tension between deep learning and repetitive learning. Western educators often emphasize the need for students to construct a conceptual understanding of mathematical symbols and rules before they practise the rules (Li, 2006). On the other hand, Chinese learners tend to be oriented towards rote learning…
Basic Numeracy Abilities of Xhosa Reception Year Students in South Africa: Language Policy Issues

ERIC Educational Resources Information Center

Feza, Nosisi Nellie

2016-01-01

Language in mathematics learning and teaching has a significant role in influencing performance. Literature on language in mathematics learning has evolved from language as a barrier to language as a cultural tool, and recently more research has argued for use of home language as an instructional tool in mathematics classrooms. However, the…
The Prospective Mathematics Teachers' Thought Processes and Views about Using Problem-Based Learning in Statistics Education

ERIC Educational Resources Information Center

Canturk-Gunhan, Berna; Bukova-Guzel, Esra; Ozgur, Zekiye

2012-01-01

The purpose of this study is to determine prospective mathematics teachers' views about using problem-based learning (PBL) in statistics teaching and to examine their thought processes. It is a qualitative study conducted with 15 prospective mathematics teachers from a state university in Turkey. The data were collected via participant observation…
On the Nature of and Teachers' Goals for Students' Mathematical Argumentation in High School Classrooms

ERIC Educational Resources Information Center

Howell, Tracey H.

2013-01-01

In an era of new standards and emerging accountability systems, an understanding of the supports needed to aid teachers and students in making necessary transitions in mathematics teaching and learning is critical. Given the established research base demonstrating the importance of justification and reasoning in students' mathematics learning and…
The Design of a Mathematics Problem Using Real-Life Context for Young Children

ERIC Educational Resources Information Center

Cheng, Lu Pien

2013-01-01

In this paper the teachers' learning journey on designing a mathematics problem that involves a real-life context is reported. This is part of a larger project undertaken in a primary school in Singapore where the teachers were engaged in planning, observing and critiquing mathematics lessons to investigate teaching and learning. These unique…
Teaching mathematics online in the European Area of Higher Education: an instructor's point of view

NASA Astrophysics Data System (ADS)

Juan, Angel A.; Steegmann, Cristina; Huertas, Antonia; Martinez, M. Jesus; Simosa, J.

2011-03-01

This article first discusses how information technologies are changing the way knowledge is delivered at universities worldwide. Then, the article reviews some of the most popular learning management systems available today and some of the most useful online resources in the areas of Mathematics and Statistics. After that, some long-term experiences regarding the teaching of online courses in those areas at the Open University of Catalonia are discussed. Finally, the article presents the results of a large-scale survey performed in Spain that aims to reflect instructors' opinions and feelings about potential benefits and challenges of teaching mathematics online, as well as the role of emergent technologies in the context of the European Area of Higher Education. Therefore, this article contributes to the existing literature as an additional reference point, one based on our long-term experience in a large-scale online environment, for discussions involving mathematical e-learning.
The discursive production of classroom mathematics

NASA Astrophysics Data System (ADS)

Smith, Kim; Hodson, Elaine; Brown, Tony

2013-09-01

School mathematics is a function of its discursive environment where the language being used formats mathematical activity. The paper explores this theme through an extended example in which the conduct of mathematical teaching and learning is restricted by regulative educational policies. It considers how mathematics is discursively produced by student teachers within an employment-based model of teacher education in England where there is a low university input. It is argued that teacher reflections on mathematical learning and teaching within the course are patterned discursively in line with formal curriculum framings, assessment requirements and the local demands of their placement school. Both teachers and students are subject to regulative discourses that shape their actions and as a consequence this regulation influences the forms of mathematical activity that can take place. It is shown how university sessions can provide a limited critical platform from which to interrogate these restrictions and renegotiate them.
An Investigation of Mathematically Promising Students' Cognitive Abilities and Their Contributions to Learning Environment

ERIC Educational Resources Information Center

Budak, Ibrahim; Kaygin, Bulent

2015-01-01

In this study, through the observation of mathematically promising students in regular classrooms, relevant learning environments and the learning needs of promising students, teacher approaches and teaching methods, and the differences between the promising students and their normal ability peers in the same classroom were investigated.…
Effects of Educational Technology on Mathematics Achievement for K-12 Students in Utah

ERIC Educational Resources Information Center

Brasiel, Sarah; Jeong, Soojeong; Ames, Clarence; Lawanto, Kevin; Yuan, Min; Martin, Taylor

2016-01-01

Teaching mathematics has long required the use of technology due many powerful affordances. More recently, education technology has been developed to support personalized learning through the use of adaptive learning systems. Through the use of educational technology in online learning, there is great potential for improving students' mathematics…
Mathematics for Young Learners: 60 Games & Activities for Ages 3 through 7.

ERIC Educational Resources Information Center

Ellerby, Richard S.

By studying and practicing metacognition, teachers and parents are instilling positive attitudes toward learning by teaching how-to-learn skills that prepare children for assessing their own thinking about learning as they become more and more developmentally prepared. This book stresses the strategies for thinking in mathematical terms without…
Status of Teachers' Technology Uptake and Use of GeoGebra in Teaching Secondary School Mathematics in Kenya

ERIC Educational Resources Information Center

Mwingirwa, Irene Mukiri; Miheso-O'Connor, Marguerite Khakasa

2016-01-01

The uptake of technology and specifically, GeoGebra software, in teaching mathematics has had mixed success in spite of its documented benefits. This study investigated teachers' perspective towards training and eventual use of GeoGebra as a tool to enhance learning of mathematics. In this article we share findings from a larger study that was…
The Effects of Emphasizing Mathematical Structural Properties in Teaching and of Reflective Intelligence on Four Selected Criteria. Technical Report 275.

ERIC Educational Resources Information Center

Jurdak, Murad Eid

The purposes of this study were: (1) to compare the effectiveness of two teaching methods having two distinct levels of emphasis on mathematical structure in organizing and presenting the same mathematical content, and (2) to identify the effect of the cognitive ability of reflective intelligence on four cognitive levels of learning a second-order…
Foundations for Success in the Teaching of O-Level Mathematics in Rural Day Secondary Schools in Masvingo District

ERIC Educational Resources Information Center

Mupa, Paul

2015-01-01

The growing failure rate in Mathematics at O-level is cause for concern and warrants an in-depth investigation. This study focused on factors that make the foundation of success in the teaching and learning of Mathematics. The study was qualitative and employed a case study design. Semi-structured interviews were used as data generation tool. The…
Sketching by Design: Teaching Sketching to Young Learners

ERIC Educational Resources Information Center

Kelley, Todd R.; Sung, Euisuk

2017-01-01

Recent science educational reforms in the United States have prompted increased efforts to teach engineering design as an approach to improve STEM (Science, Technology, Engineering, and Mathematics) learning in K-12 classrooms. Teaching design in early grades is a new endeavor for teachers in the United States. Much can be learned from design…
Learning Trajectory for Transforming Teachers' Knowledge for Teaching Mathematics and Science with Digital Image and Video Technologies in an Online Learning Experience

ERIC Educational Resources Information Center

Niess, Margaret L.; Gillow-Wiles, Henry

2014-01-01

This qualitative cross-case study explores the influence of a designed learning trajectory on transforming teachers' technological pedagogical content knowledge (TPACK) for teaching with digital image and video technologies. The TPACK Learning Trajectory embeds tasks with specific instructional strategies within a social metacognitive…
Learning from Lessons: Teachers' Insights and Intended Actions Arising from Their Learning about Student Thinking

ERIC Educational Resources Information Center

Roche, Anne; Clarke, Doug; Clarke, David; Chan, Man Ching Esther

2016-01-01

A central premise of this project is that teachers learn from the act of teaching a lesson and that this learning is evident in the planning and teaching of a subsequent lesson. We are studying the knowledge construction of mathematics teachers utilising multi-camera research techniques during lesson planning, classroom interactions and…
A Meta-Analysis of Empirical Research on Teaching Students with Mathematics Learning Difficulties

ERIC Educational Resources Information Center

Dennis, Minyi Shih; Sharp, Emily; Chovanes, Jacquelyn; Thomas, Amanda; Burns, Raquel M.; Custer, Beth; Park, Junkoung

2016-01-01

This article quantitatively summarizes experimental and quasi-experimental studies on teaching students with mathematics difficulties (MD) published between 2000 and 2014, research that was available following earlier syntheses. It reports the analysis of effect sizes of 25 intervention studies on participant characteristics, intervention…
The Commerce of Utility: Teaching Mathematical Geography in Early Modern England

ERIC Educational Resources Information Center

Cormack, Lesley B.

2006-01-01

The teaching and learning of geographical and mathematical knowledge in early modern England was a complex interaction among scholars, practitioners, merchants, and gentry. Each group had different values and goals associated with geographical knowledge and therefore different educational venues and different topics to be investigated. This paper…
Oral Storytelling and Teaching Mathematics: Pedagogical and Multicultural Perspectives

ERIC Educational Resources Information Center

Schiro, Michael Stephen

2004-01-01

This book contains two case studies of teachers telling epic oral stories to teach math to elementary and middle school students. The book also includes theoretical discussions of essential elements of oral storytelling, multicultural education, how oral storytelling can help children who have difficulty learning mathematics, and mathematical…
Professional Development in Statistics, Technology, and Cognitively Demanding Tasks: Classroom Implementation and Obstacles

ERIC Educational Resources Information Center

Foley, Gregory D.; Khoshaim, Heba Bakr; Alsaeed, Maha; Er, S. Nihan

2012-01-01

Attending professional development programmes can support teachers in applying new strategies for teaching mathematics and statistics. This study investigated (a) the extent to which the participants in a professional development programme subsequently used the techniques they had learned when teaching mathematics and statistics and (b) the…

Improving Teaching and Learning in Science and Mathematics.

ERIC Educational Resources Information Center

Treagust, David F., Ed.; And Others

The underlying theme of this book illustrates how constructivist ideas can be used by science and mathematics educators for research and the further improvement of educational practice. Authors from various parts of the world describe their work investigating students' conceptions, improving teaching and curricula, and enhancing teacher education…
Challenge Beginning Teacher Beliefs

ERIC Educational Resources Information Center

Lannin, John K.; Chval, Kathryn B.

2013-01-01

As beginning teachers start to recognize the complexity of teaching mathematics in elementary school classrooms and how their new vision for teaching mathematics creates new challenges, they experience discomfort--a healthy awareness that much is to be learned. Brousseau (1997) notes that changes in the roles that are implicitly assigned to the…
Five Keys for Teaching Mental Math

ERIC Educational Resources Information Center

Olsen, James R.

2015-01-01

After studying the Common Core State Standards for Mathematics (CCSSM) and brain-based learning research, James Olsen believes mental math instruction in secondary school mathematics (grades 7-12) and in teacher education programs needs increased attention. The purpose of this article is to share some keys for teaching mental math. Olsen also…
Advancing K-8 Teachers' STEM Education for Teaching Interdisciplinary Science and Mathematics with Technologies

ERIC Educational Resources Information Center

Niess, Margaret; Gillow-Wiles, Henry

2013-01-01

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

ERIC Educational Resources Information Center

Guarino, Jody; Sykes, Marie; Santagata, Rossella

2013-01-01

The authors believe teaching for understanding begins with the development of a few essential orientations. Teachers must have an appreciation for student centered mathematics teaching, valuing an approach that builds on student thinking. In addition, teachers must appreciate the complexity of students' mathematical thinking and ideas. Once these…
Pedagogical Content Knowledge in Mathematical Modelling Instruction

ERIC Educational Resources Information Center

Tan, Liang Soon; Ang, Keng Cheng

2012-01-01

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

NASA Astrophysics Data System (ADS)

Cavanagh, Michael; Mitchelmore, Michael

2011-12-01

We report the results of a classroom study of three secondary mathematics teachers who had no prior experience teaching with technology as they began to use an online mathematics learning system in their lessons. We gave the teachers only basic instruction on how to operate the system and then observed them intensively over four school terms as they taught using it. We documented changes in the teachers' Pedagogical Technology Knowledge and subsequently classified their various roles as technology bystanders, adopters, adaptors and innovators. Results show that all teachers made some progress toward using the system in more sophisticated ways, but the improvements were not uniform across the teachers. We suggest possible reasons to explain the variation and discuss some implications for teacher professional development.
Motion sensors in mathematics teaching: learning tools for understanding general math concepts?

NASA Astrophysics Data System (ADS)

Urban-Woldron, Hildegard

2015-05-01

Incorporating technology tools into the mathematics classroom adds a new dimension to the teaching of mathematics concepts and establishes a whole new approach to mathematics learning. In particular, gathering data in a hands-on and real-time method helps classrooms coming alive. The focus of this paper is on bringing forward important mathematics concepts such as functions and rate of change with the motion detector. Findings from the author's studies suggest that the motion detector can be introduced from a very early age and used to enliven classes at any level. Using real-world data to present the main functions invites an experimental approach to mathematics and encourages students to engage actively in their learning. By emphasizing learning experiences with computer-based motion detectors and aiming to involve students in mathematical representations of real-world phenomena, six learning activities, which were developed in previous research studies, will be presented. Students use motion sensors to collect physical data that are graphed in real time and then manipulate and analyse them. Because data are presented in an immediately understandable graphical form, students are allowed to take an active role in their learning by constructing mathematical knowledge from observation of the physical world. By utilizing a predict-observe-explain format, students learn about slope, determining slope and distance vs. time graphs through motion-filled activities. Furthermore, exploring the meaning of slope, viewed as the rate of change, students acquire competencies for reading, understanding and interpreting kinematics graphs involving a multitude of mathematical representations. Consequently, the students are empowered to efficiently move among tabular, graphical and symbolic representation to analyse patterns and discover the relationships between different representations of motion. In fact, there is a need for further research to explore how mathematics teachers can integrate motion sensors into their classrooms.
Mathematical Teachers' Perception: Mobile Learning and Constructing 21st Century Collaborative Cloud-Computing Environments in Elementary Public Schools in the State of Kuwait

ERIC Educational Resources Information Center

Alqallaf, Nadeyah

2016-01-01

The purpose of this study was to examine Kuwaiti mathematical elementary teachers' perceptions about their ability to integrate M-learning (mobile learning) into their current teaching practices and the major barriers hindering teachers' ability to create an M-learning environment. Furthermore, this study sought to understand teachers' perceptions…
Didactic trajectory of research in mathematics education using research-based learning

NASA Astrophysics Data System (ADS)

Charitas Indra Prahmana, Rully; Kusumah, Yaya S.; Darhim

2017-10-01

This study aims to describe the role of research-based learning in design a learning trajectory of research in mathematics education to enhance research and academic writing skills for pre-service mathematics teachers. The method used is a design research with three stages, namely the preliminary design, teaching experiment, and retrospective analysis. The research subjects are pre-service mathematics teacher class of 2012 from one higher education institution in Tangerang - Indonesia. The use of research-based learning in designing learning trajectory of research in mathematics education plays a crucial role as a trigger to enhancing math department preservice teachers research and academic writing skills. Also, this study also describes the design principles and characteristics of the learning trajectory namely didactic trajectory generated by the role of research-based learning syntax.
The Efforts to Improve Mathematics Learning Achievement Results of High School Students as Required by Competency-Based Curriculum and Lesson Level-Based Curriculum

ERIC Educational Resources Information Center

Sidabutar, Ropinus

2016-01-01

The research was aimed to investigate the effect of various, innovated teaching models to improved the student's achievement in various topic in Mathematics. The study was conduct experiment by using innovated teaching with contextual, media and web which are the compared. with conventional teaching method. The result showed the innovation in the…
An investigation of assessment and feedback practices in fully asynchronous online undergraduate mathematics courses

NASA Astrophysics Data System (ADS)

Trenholm, Sven; Alcock, Lara; Robinson, Carol

2015-11-01

Research suggests it is difficult to learn mathematics in the fully asynchronous online (FAO) instructional modality, yet little is known about associated teaching and assessment practices. In this study, we investigate FAO mathematics assessment and feedback practices in particular consideration of both claims and findings that these practices have a powerful influence on learning. A survey questionnaire was constructed and completed by 70 FAO undergraduate mathematics instructors, mostly from the USA, who were each asked to detail their assessment and feedback practices in a single FAO mathematics course. Alongside these questions, participants also answered the 16-item version of the Approaches to Teaching Inventory. In addition, a novel feedback framework was also created and used to examine how feedback practices may be related to participants' approaches to teaching. Results show that assessment and feedback practices are varied and complex: in particular, we found there was not a simple emphasis on summative assessment instruments, nor a concomitant expectation these would always be invigilated. Though richer assessment feedback appears to be emphasized, evidence suggests this feedback may not be primarily directed at advancing student learning. Moreover, we found evidence of a reliance on computer--human interactions (e.g. via computer-assisted assessment systems) and further evidence of a decline in human interactions, suggesting a dynamic that is both consistent with current online learning theory and claims FAO mathematics courses are becoming commodified. Several avenues for further research are suggested.
Mathematical Representation Ability by Using Project Based Learning on the Topic of Statistics

NASA Astrophysics Data System (ADS)

Widakdo, W. A.

2017-09-01

Seeing the importance of the role of mathematics in everyday life, mastery of the subject areas of mathematics is a must. Representation ability is one of the fundamental ability that used in mathematics to make connection between abstract idea with logical thinking to understanding mathematics. Researcher see the lack of mathematical representation and try to find alternative solution to dolve it by using project based learning. This research use literature study from some books and articles in journals to see the importance of mathematical representation abiliy in mathemtics learning and how project based learning able to increase this mathematical representation ability on the topic of Statistics. The indicators for mathematical representation ability in this research classifies namely visual representation (picture, diagram, graph, or table); symbolize representation (mathematical statement. Mathematical notation, numerical/algebra symbol) and verbal representation (written text). This article explain about why project based learning able to influence student’s mathematical representation by using some theories in cognitive psychology, also showing the example of project based learning that able to use in teaching statistics, one of mathematics topic that very useful to analyze data.
Learning To Teach: Constructing Meaningful Understanding of Mathematical Content. Craft Paper 89-3.

ERIC Educational Resources Information Center

Lappan, Glenda; Even, Ruhama

This paper discusses the development of the mathematical experiences which make up the three-term sequence of mathematics courses taken by participants in the Elementary Mathematics Project (EMP), a longitudinal study of change in preservice teachers' perceptions and beliefs about mathematics. For the mathematics courses, both content and teaching…
Mapping the level of scientific reasoning skills to instructional methodologies among Malaysian science-mathematics-engineering undergraduates

NASA Astrophysics Data System (ADS)

Tajudin, Nor'ain Mohd.; Saad, Noor Shah; Rahman, Nurulhuda Abd; Yahaya, Asmayati; Alimon, Hasimah; Dollah, Mohd. Uzi; Abd Karim, Mohd. Mustaman

2012-05-01

The objectives of this quantitative survey research were (1) to establish the level of scientific reasoning (SR) skills among science, mathematics and engineering (SME) undergraduates in Malaysian Institute of Higher Learning (IHL); (b) to identify the types of instructional methods in teaching SME at universities; and (c) to map instructional methods employed to the level of SR skills among the undergraduates. There were six universities according to zone involved in this study using the stratification random sampling technique. For each university, the faculties that involved were faculties which have degree students in science, mathematics and engineering programme. A total of 975 students were participated in this study. There were two instruments used in this study namely, the Lawson Scientific Reasoning Skills Test and the Lecturers' Teaching Style Survey. The descriptive statistics and the inferential statistics such as mean, t-test and Pearson correlation were used to analyze the data. Findings of the study showed that most students had concrete level of scientific reasoning skills where the overall mean was 3.23. The expert and delegator were dominant lecturers' teaching styles according to students' perception. In addition, there was no correlation between lecturers' teaching style and the level of scientific reasoning skills. Thus, this study cannot map the dominant lecturers' teaching style to the level of scientific reasoning skills of Science, Mathematics and Engineering undergraduates in Malaysian Public Institute of Higher Learning. Nevertheless, this study gave some indications that the expert and delegator teaching styles were not contributed to the development of students' scientific reasoning skills. This study can be used as a baseline for Science, Mathematics and Engineering undergraduates' level of scientific reasoning skills in Malaysian Public Institute of Higher Learning. Overall, this study also opens an endless source of other researchers to investigate more areas on scientific reasoning skills so that the potential instructional model can be developed to enhance students' level of scientific reasoning skills in Malaysian Public Institute of Higher Learning.
Engaging with the Art & Science of Statistics

ERIC Educational Resources Information Center

Peters, Susan A.

2010-01-01

How can statistics clearly be mathematical and yet distinct from mathematics? The answer lies in the reality that statistics is both an art and a science, and both aspects are important for teaching and learning statistics. Statistics is a mathematical science in that it applies mathematical theories and techniques. Mathematics provides the…
Images, Anxieties, and Attitudes toward Mathematics

ERIC Educational Resources Information Center

Belbase, Shashidhar

2013-01-01

The purpose of this paper is to discuss and analyze images, anxieties, and attitudes towards mathematics in order to foster meaningful teaching and learning of mathematics. Images of mathematics seem to be profoundly shaped by epistemological, philosophical, and pedagogical perspectives of one who views mathematics either as priori or a…
Explicating Mathematical Thinking in Differential Equations Using a Computer Algebra System

ERIC Educational Resources Information Center

Zeynivandnezhad, Fereshteh; Bates, Rachel

2018-01-01

The importance of developing students' mathematical thinking is frequently highlighted in literature regarding the teaching and learning of mathematics. Despite this importance, most curricula and instructional activities for undergraduate mathematics fail to bring the learner beyond the mathematics. The purpose of this study was to enhance…
Fostering Positive Attitude in Probability Learning Using Graphing Calculator

ERIC Educational Resources Information Center

Tan, Choo-Kim; Harji, Madhubala Bava; Lau, Siong-Hoe

2011-01-01

Although a plethora of research evidence highlights positive and significant outcomes of the incorporation of the Graphing Calculator (GC) in mathematics education, its use in the teaching and learning process appears to be limited. The obvious need to revisit the teaching and learning of Probability has resulted in this study, i.e. to incorporate…
Teacher Knowledge That Supports Student Processes in Learning Mathematics: A Study at All-Female Middle Schools in Saudi Arabia

ERIC Educational Resources Information Center

Alsaeed, Maha Saad

2012-01-01

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

Learning to Teach Music-Themed Mathematics: An Examination of Preservice Teachers' Beliefs about Developing and Implementing Interdisciplinary Mathematics Pedagogy

ERIC Educational Resources Information Center

An, Song A.; Zhang, Meilan; Tillman, Daniel A.; Lesser, Lawrence M.; Siemssen, Annette; Tinajero, Josefina V.

2016-01-01

The study presented in this paper sought to offer a group of 21 preservice teachers with opportunities to learn about interdisciplinary mathematics pedagogy, plus the experience of implementing it with elementary students. It provided the participating preservice teachers' with an opportunity to reflect upon the potential advantages, as well as…
Geogebra Applets Design and Development for Junior High School Students to Learn Quadrilateral Mathematics Concepts

ERIC Educational Resources Information Center

Nisiyatussani; Ayuningtyas, Vidya; Fathurrohman, Maman; Anriani, Nurul

2018-01-01

This design and development research was motivated by the rapid expansion and use of GeoGebra by mathematics educators (teachers and lecturers) in Indonesia. One of GeoGebra features is GeoGebra Applet that can be used, modified, and/or developed by educators for dynamic and interactive mathematics teaching and learning. At the time of research…
Racialized Narratives of Female Students of Color: Learning Mathematics in a Neoliberal Context

ERIC Educational Resources Information Center

Nazemi, Mahtab

2017-01-01

There is a growing body of scholarship in mathematics education that has attended to the salience of race in mathematics teaching and learning. However, in the context of secondary classrooms with equity-oriented instruction, we know little about race and processes of racialization, and even less from the perspectives of students of color and in…
Limitations to Teaching Children 2 + 2 = 4: Typical Arithmetic Problems Can Hinder Learning of Mathematical Equivalence

ERIC Educational Resources Information Center

McNeil, Nicole M.

2008-01-01

Do typical arithmetic problems hinder learning of mathematical equivalence? Second and third graders (7-9 years old; N= 80) received lessons on mathematical equivalence either with or without typical arithmetic problems (e.g., 15 + 13 = 28 vs. 28 = 28, respectively). Children then solved math equivalence problems (e.g., 3 + 9 + 5 = 6 + __),…
The development of a valid discovery-based learning module to improve students' mathematical connection

NASA Astrophysics Data System (ADS)

Kuneni, Erna; Mardiyana, Pramudya, Ikrar

2017-08-01

Geometry is the most important branch in mathematics. The purpose of teaching this material is to develop students' level of thinking for a better understanding. Otherwise, geometry in particular, has contributed students' failure in mathematics examinations. This problem occurs due to special feature in geometry which has complexity of correlation among its concept. This relates to mathematical connection. It is still difficult for students to improve this ability. This is because teachers' lack in facilitating students towards it. Eventhough, facilitating students can be in the form of teaching material. A learning module can be a solution because it consists of series activities that should be taken by students to achieve a certain goal. A series activities in this case is adopted by the phases of discovery-based learning model. Through this module, students are facilitated to discover concept by deep instruction and guidance. It can build the mathematical habits of mind and also strengthen the mathematical connection. Method used in this research was ten stages of research and development proposed by Bord and Gall. The research purpose is to create a valid learning module to improve students' mathematical connection in teaching quadrilateral. The retrieved valid module based on media expert judgment is 2,43 for eligibility chart aspect, 2,60 for eligibility presentation aspect, and 3,00 for eligibility contents aspect. Then the retrieved valid module based on material expert judgment is 3,10 for eligibility content aspect, 2,87 for eligibility presentation aspect, and 2,80 for eligibility language and legibility aspect.
Teachers' Understanding of the Role of Executive Functions in Mathematics Learning

PubMed Central

Gilmore, Camilla; Cragg, Lucy

2014-01-01

Cognitive psychology research has suggested an important role for executive functions, the set of skills that monitor and control thought and action, in learning mathematics. However, there is currently little evidence about whether teachers are aware of the importance of these skills and, if so, how they come by this information. We conducted an online survey of teachers' views on the importance of a range of skills for mathematics learning. Teachers rated executive function skills, and in particular inhibition and shifting, to be important for mathematics. The value placed on executive function skills increased with increasing teaching experience. Most teachers reported that they were aware of these skills, although few knew the term “executive functions.” This awareness had come about through their teaching experience rather than from formal instruction. Researchers and teacher educators could do more to highlight the importance of these skills to trainee or new teachers. PMID:25674156
Teachers' Understanding of the Role of Executive Functions in Mathematics Learning.

PubMed

Gilmore, Camilla; Cragg, Lucy

2014-09-01

Cognitive psychology research has suggested an important role for executive functions, the set of skills that monitor and control thought and action, in learning mathematics. However, there is currently little evidence about whether teachers are aware of the importance of these skills and, if so, how they come by this information. We conducted an online survey of teachers' views on the importance of a range of skills for mathematics learning. Teachers rated executive function skills, and in particular inhibition and shifting, to be important for mathematics. The value placed on executive function skills increased with increasing teaching experience. Most teachers reported that they were aware of these skills, although few knew the term "executive functions." This awareness had come about through their teaching experience rather than from formal instruction. Researchers and teacher educators could do more to highlight the importance of these skills to trainee or new teachers.
An Examination of the Roles of the Teacher and Students during a Problem-Based Learning Intervention: Lessons Learned from a Study in a Taiwanese Primary Mathematics Classroom

ERIC Educational Resources Information Center

Li, Hui-Chuan; Stylianides, Andreas J.

2018-01-01

The benefits of problem-based learning (PBL) to student learning have prompted researchers to investigate this pedagogical approach over the past few decades. However, little research has examined how PBL can be applied to mathematics learning and teaching, especially in countries like Taiwan, where the majority of teachers are accustomed to…
Manipulatives and problem situations as escalators for students' geometric understanding: a semiotic analysis

NASA Astrophysics Data System (ADS)

Daher, Wajeeh M.

2014-04-01

Mathematical learning and teaching are increasingly seen as a multimodal experience involved in cultural and social semiotic registers and means, and as such social-cultural semiotic analysis is expected to shed light on learning and teaching processes occurring in the mathematics classroom. In this research, three social-cultural semiotic frameworks were utilised to analyse elementary school students' learning of a geometric relation: the semiotic bundle, the space of action, production and communication and the theoretical framework of attention, awareness and objectification. Educational mathematical situations are described, in addition to semiotic sets, registers and means emerging in the different mathematical situations and that are relevant to the three social-cultural semiotic frameworks which the current research utilizes. Further, the students, as a consequence of (1) their multimodal experience, (2) their connecting between the different mathematical situations and semiotic registers, and (3) the teacher's questions and tasks, could objectify the geometric relation between the lengths of the triangle's edges.
Benefits for Women and Men of Inquiry-Based Learning in College Mathematics: A Multi-Institution Study

ERIC Educational Resources Information Center

Laursen, Sandra L.; Hassi, Marja-Liisa; Kogan, Marina; Weston, Timothy J.

2014-01-01

Slow faculty uptake of research-based, student-centered teaching and learning approaches limits the advancement of U.S. undergraduate mathematics education. A study of inquiry-based learning (IBL) as implemented in over 100 course sections at 4 universities provides an example of such multicourse, multi-institution uptake. Despite variation in how…
Mathematical Problem Solving among Latina/o Kindergartners: An Analysis of Opportunities to Learn

ERIC Educational Resources Information Center

Turner, Erin E.; Celedon-Pattichis, Sylvia

2011-01-01

This study explores opportunities to learn mathematics problem solving for Latina/o students in 3 kindergarten classrooms in the southwest. Mixed methods were used to examine teaching practices that engaged Latina/o students in problem solving and supported their learning. Findings indicate that although students in all 3 classrooms showed growth…
Problem-Based Learning--Buginese Cultural Knowledge Model--Case Study: Teaching Mathematics at Junior High School

ERIC Educational Resources Information Center

Cheriani, Cheriani; Mahmud, Alimuddin; Tahmir, Suradi; Manda, Darman; Dirawan, Gufran Darma

2015-01-01

This study aims to determine the differences in learning output by using Problem Based Model combines with the "Buginese" Local Cultural Knowledge (PBL-Culture). It is also explores the students activities in learning mathematics subject by using PBL-Culture Models. This research is using Mixed Methods approach that combined quantitative…
Assessing Long-Term Effects of Inquiry-Based Learning: A Case Study from College Mathematics

ERIC Educational Resources Information Center

Kogan, Marina; Laursen, Sandra L.

2014-01-01

As student-centered approaches to teaching and learning are more widely applied, researchers must assess the outcomes of these interventions across a range of courses and institutions. As an example of such assessment, this study examined the impact of inquiry-based learning (IBL) in college mathematics on undergraduates' subsequent grades…
A Framework for Problem-Based Learning: Teaching Mathematics with a Relational Problem-Based Pedagogy

ERIC Educational Resources Information Center

Schettino, Carmel

2016-01-01

One recommendation for encouraging young women and other underrepresented students in their mathematical studies is to find instructional methods, such as problem-based learning (PBL), that allow them to feel included in the learning process. Using a more relationally centered pedagogy along with more inclusive instructional methods may be a way…
Development and Validation of a New Measure of Teacher Perceptions of Science and Mathematics Learning Environments

ERIC Educational Resources Information Center

Ellett, Chad D.; Monsaas, Judy

2011-01-01

This article describes the development and validation of the Inventory of Teaching and Learning (ITAL) as a new measure of teacher perceptions of science and mathematics learning environments. The ITAL was initially developed and administered in 2004 and has subsequently been revised annually. The ITAL is administered using a confidential…
Supplementary Teaching Materials for Business Courses.

ERIC Educational Resources Information Center

Boulden, Alfred W., Ed.

This teaching guide for business education contains supplementary instructional materials for the subjects of accounting, business English, business mathematics, career education, consumer education, data processing, and office procedures. The units differ in format and in types of learning activities presented. The learning activity package for…
Gesture analysis of students' majoring mathematics education in micro teaching process

NASA Astrophysics Data System (ADS)

Maldini, Agnesya; Usodo, Budi; Subanti, Sri

2017-08-01

In the process of learning, especially math learning, process of interaction between teachers and students is certainly a noteworthy thing. In these interactions appear gestures or other body spontaneously. Gesture is an important source of information, because it supports oral communication and reduce the ambiguity of understanding the concept/meaning of the material and improve posture. This research which is particularly suitable for an exploratory research design to provide an initial illustration of the phenomenon. The goal of the research in this article is to describe the gesture of S1 and S2 students of mathematics education at the micro teaching process. To analyze gesture subjects, researchers used McNeil clarification. The result is two subjects using 238 gesture in the process of micro teaching as a means of conveying ideas and concepts in mathematics learning. During the process of micro teaching, subjects using the four types of gesture that is iconic gestures, deictic gesture, regulator gesturesand adapter gesture as a means to facilitate the delivery of the intent of the material being taught and communication to the listener. Variance gesture that appear on the subject due to the subject using a different gesture patterns to communicate mathematical ideas of their own so that the intensity of gesture that appeared too different.
An Interactive System of Computer Generated Graphic Displays for Motivating Meaningful Learning of Matrix Operations and Concepts of Matrix Algebra

DTIC Science & Technology

1990-09-01

community’s search for a workable set of standards for school mathematics . In 1989 the National Council of Teachers of Mathematics ( NCTM ) established the...made by the Commission on Standards for School Mathematics to the National Council of Teachers of Mathematics ( NCTM ). Of the 40 students who...Abstract This -s-y evaluated students’ responses to a teaching method designed to involve students and teachers of mathematics in a meaningful learning
The Edge of Platonism.

ERIC Educational Resources Information Center

Hawkins, David

1985-01-01

Some questions about the relevance of the philosophy of mathematics to mathematics teaching and to early mathematics learning are discussed. Books by Lakatos, Davis and Hersh, and Kitcher are referred to extensively, with comments on a variety of instructional practices. (MNS)
Black Holes and Beginning Teachers: A Connected Approach to Teaching Mathematics.

ERIC Educational Resources Information Center

Ocean, Jude; Miller-Reilly, Barbara

1997-01-01

Presents a case study on how students fail to learn mathematics and leave school with a dislike of math. Describes the use of metaphors in changing attitudes towards mathematics. (Contains 18 references.) (ASK)

Transforming Middle School Geometry: Designing Professional Development Materials that Support the Teaching and Learning of Similarity

ERIC Educational Resources Information Center

Seago, Nanette; Jacobs, Jennifer; Driscoll, Mark

2010-01-01

Although there are increasing numbers of professional development (PD) materials intended to foster teachers' mathematical knowledge for teaching within the topics of number and algebra, little attention has been given to geometry. In this article we describe the Learning and Teaching Geometry project's approach to the development of PD materials…
A Problem Based Learning (PBL) Application for the Teaching of Mathematics and Chemistry in Higher Schools and Tertiary Education: An Integrative Approach

ERIC Educational Resources Information Center

Fatokun, J. O.; Fatokun, K. V. F.

2013-01-01

In this paper, we present the concept of problem-based learning as a tool for learning Mathematics and Chemistry, and in fact, all sciences, using life situations or simulated scenario. The methodology involves some level of brain storming. Here, active learning takes place and knowledge gained by students either way through a collaborative…
Flipping Preservice Elementary Teachers' Mathematics Anxieties

ERIC Educational Resources Information Center

Dove, Anthony; Dove, Emily

2017-01-01

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'…
Grand Challenges and Opportunities in Mathematics Education Research

ERIC Educational Resources Information Center

Stephan, Michelle L.; Chval, Kathryn B.; Wanko, Jeffrey J.; Civil, Marta; Fish, Michael C.; Herbel-Eisenmann, Beth; Konold, Clifford; Wilkerson, Trena L.

2015-01-01

Mathematics education researchers seek answers to important questions that will ultimately result in the enhancement of mathematics teaching, learning, curriculum, and assessment, working toward ensuring that all students attain mathematics proficiency and increasing the numbers of students from all racial, ethnic, gender, and socioeconomic groups…
Teaching Students to Formulate Questions

ERIC Educational Resources Information Center

Jensen-Vallin, Jacqueline

2017-01-01

As STEM educators, we know it is beneficial to train students to think critically and mathematically during their early mathematical lives. To this end, the author teaches the College Algebra/Precalculus course in a flipped classroom version of an inquiry-based learning style. However, the techniques described in this paper can be applied to a…
A Teacher Pair Approach to Adopting Effective Numeracy Teaching Practice

ERIC Educational Resources Information Center

Lamb, Janeen; Geiger, Vince

2010-01-01

While the notion of numeracy as the capacity to make use of mathematics within contexts associated with personal and public life, as distinct from basis mathematical competence, is broadly accepted, forms of professional teacher learning that lead to the effective teaching of numeracy are still the subject of ongoing research. This paper reports…
Constructivist Viewpoints for School Teaching and Learning in Mathematics and Science. Research Report 131.

ERIC Educational Resources Information Center

Ahtee, Maija, Ed.; Pehkonen, Erkki, Ed.

This research report contains a fairly concise overview of the role of constructivism in the teaching of mathematics and science in Finland. Included papers have been grouped into three parts. The first part, "General Considerations," consists of the seven articles on theoretical considerations, social constructivism, teachers' and pupils'…
Embracing "Nepantla": Rethinking "Knowledge" and Its Use in Mathematics Teaching

ERIC Educational Resources Information Center

Gutiérrez, Rochelle

2012-01-01

Although educational researchers are moving beyond purely psychological and cognitive models of learning to consider the ways in which mathematics teaching might reach a more diverse student population, this work remains in its infancy, and the concept of "knowledge" is rarely questioned. This paper begins with the idea that mathematics…
Professional Development through Teacher Collaboration: An Approach to Enhance Teaching and Learning in Science and Mathematics in Tanzania

ERIC Educational Resources Information Center

Kafyulilo, Ayoub Cherd

2013-01-01

This study introduces "teachers' collaboration" as an approach to teachers' professional development geared at enhancing science and mathematics teaching in Tanzania secondary schools. Teachers' professional development through teachers' collaboration has been reported to be effective for the improvement of schools' performance and…
Putting Teachers First: Leading Change through Design--Initiating and Sustaining Effective Teaching of Mathematics

ERIC Educational Resources Information Center

Proffitt-White, Rob

2017-01-01

The Teachers First initiative is a grass-roots cluster-model approach for bringing together primary and secondary teachers and school principals: to analyse student performance data; design and practice activities and assessment tools; and promote teaching practices that address students' learning difficulties in mathematics. The balance of both…
Learning about "Half": Critical Aspects and Pedagogical Strategies in Designed Preschool Activities

ERIC Educational Resources Information Center

Björklund, Camilla

2018-01-01

This is an empirical inquiry concerning children's concept development and early mathematics teaching. The intention is to broaden the understanding of preschool children's perceptions of the concept "half" (as 1 of 2 equal parts of a whole), in designed mathematics teaching settings. Three teachers working with 4-5-year-old children…
Learning Mathematics Does Not (Necessarily) Mean Constructing the Right Knowledge

ERIC Educational Resources Information Center

Dawson, Sandy

2015-01-01

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

ERIC Educational Resources Information Center

Chapman, Sue; Leonard, Allison; Burciaga, Sandra; Jernigan, Theresa

2013-01-01

The improvement of mathematics teaching and learning is a complicated undertaking. It relies on teacher understanding of math curriculum in addition to awareness of how children acquire mathematics concepts. It also depends on teachers' abilities to translate these understandings into learning tasks and instructional routines, as well as the…
Coming to Do Mathematics in the Margins

ERIC Educational Resources Information Center

Brown, Raymond; Redmond, Trevor

2015-01-01

This paper explores teacher' "identity" as two teachers talk about teaching mathematics in classrooms situated within two different contexts of learning--mainstream and alternative. Employing a form of discourse analysis framed within a participation approach to learning, this paper describes teacher identity in terms of the norms and…
Making the Learning of Mathematics More Meaningful

NASA Technical Reports Server (NTRS)

Ward, Robin A.

1998-01-01

In the early 1980's, the National Commission on Excellence in Education responded to the call for reform in the teaching and learning of mathematics. In particular, the Commission developed a document addressing the consensus that all students need to learn more, and often different, mathematics and that instruction in mathematics must be significantly revised. In a response to these calls for mathematics education reform, the National Council of Teachers of Mathematics (NCTM) developed its Curriculum and Evaluation Standards (1989) with a two-fold purpose: 1) to create a coherent vision of what it means to be mathematically literate in a world that relies on calculators and computers, and 2) to create a set of standards to guide the revisions of school mathematics curriculum.
Mathematical disposition of junior high school students viewed from learning styles

NASA Astrophysics Data System (ADS)

Putra, Arief Karunia; Budiyono, Slamet, Isnandar

2017-08-01

The relevance of this study is the growth of character values for students in Indonesia. Mathematics is a subject that builds the character values for students. It can be seen from the students' confidence in answering mathematics problems, their persistent and resilience in mathematics task. In addition, students have a curiosity in mathematics and appreciate the usefulness of mathematics. In mathematics, it is called a mathematical disposition. One of the factors that can affect students' mathematical disposition is learning style. Each student has a dominant learning style. Three of the most popular ones are visual, auditory, and kinesthetic. The most important uses of learning styles is that it makes it easy for teachers to incorporate them into their teaching. The purpose of this study was to determine which one that gives better mathematical dispositions among students with learning styles of visual, auditory, or kinesthetic. The subjects were 150 students in Sleman regency. Data obtained through questionnaires. Based on data analysis that has been done with benchmark assessment method, it can be concluded that students with visual learning style has a mathematical disposition better than students with auditory and kinesthetic learning styles, while students with kinesthetic learning style has a mathematical disposition better than students with auditory learning style. These results can be used as a reference for students with individual learning styles to improve the mathematical positive disposition in the learning process of mathematics.
Learning and Teaching Measurement (2003 Yearbook)

ERIC Educational Resources Information Center

Clements, Douglas H., Ed.

2003-01-01

Measurement can develop in the earliest years from children's experience, and it readily lends itself to real-world application. Focusing on research and practice, NCTM's 2003 Yearbook presents current thinking about the learning and teaching of measurement, including students' understanding, the mathematics of measurement, estimation and…
Sustaining Integrated Technology in Undergraduate Mathematics

ERIC Educational Resources Information Center

Oates, Greg

2011-01-01

The effective integration of technology into the teaching and learning of mathematics remains one of the critical challenges facing contemporary tertiary mathematics. This article reports on some significant findings of a wider study investigating the use of technology in undergraduate mathematics. It first discusses a taxonomy developed to…
Sam's progress with learning mathematics.

PubMed

Haslam, Lynne

2007-07-01

Sam is 18 years old and has Down syndrome. He achieved a grade in the standard assessment of mathematics (GCSE) at 16 years of age. This paper describes the part played in his success in school by the Kumon method of teaching mathematics, identifies the benefits of the small steps and lots of practice built in to the method and illustrates the way Sam applied his Kumon learning in school.
The Use of Concrete Learning Objects Taken from the History of Mathematics in Mathematics Education

ERIC Educational Resources Information Center

Bütüner, Suphi Önder

2016-01-01

This study aimed to reveal the effects of teaching with concrete learning objects taken from the history of mathematics on student achievement. Being a quasi-experimental study, it was conducted with two grade 8 classes in a secondary school located in Trabzon. The experimental group consisted of 27 students and the control group consisted of 25.…

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

ERIC Educational Resources Information Center

Guberman, Raisa; Leikin, Roza

2013-01-01

The study considers mathematical problem solving to be at the heart of mathematics teaching and learning, while mathematical challenge is a core element of any educational process. The study design addresses the complexity of teachers' knowledge. It is aimed at exploring the development of teachers' mathematical and pedagogical conceptions…
Mathematical Fiction: Its Place in Secondary-School Mathematics Learning

ERIC Educational Resources Information Center

Padula, Janice

2005-01-01

This article contains a small selection of mathematical fiction chosen with the teaching of mathematics in secondary school in mind. However, an attempt is made to classify the works and provide a few ideas about how these items may be used by mathematics teachers, sometimes, but not necessarily, in collaboration with science and humanities…
History of Modern Applied Mathematics in Mathematics Education

ERIC Educational Resources Information Center

Jankvist, Uffe Thomas

2009-01-01

This article discusses the integration of history of modern applied mathematics in mathematics education as well as the possible teaching and learning benefits of introducing a newer history of mathematics over an old(er) one--something that seems to be done most often when integrating history. Three cases of the history of modern applied…
Secondary Mathematics Coaching: The Components of Effective Mathematics Coaching and Implications

ERIC Educational Resources Information Center

Bengo, Priscilla

2016-01-01

Mathematics coaching, which can be defined broadly as job-embedded learning for mathematics teachers with someone who can help, is being used in Canada to improve teaching practice and increase student achievement. Mathematics coaching research is quite new with little written on the components of effective coaching. The paper attempts to…
Math Is Like a Lion Hunting a Sleeping Gazelle: Preservice Elementary Teachers' Metaphors of Mathematics

ERIC Educational Resources Information Center

Latterell, Carmen M.; Wilson, Janelle L.

2016-01-01

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

ERIC Educational Resources Information Center

Case, Robert W.

2005-01-01

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

NASA Astrophysics Data System (ADS)

Ratnaningsih, N.; El Akbar, R. R.; Hidayat, E.

2018-05-01

One of ways to improve students' learning ability is conduct a research, with purpose to obtain a method to improve students' ability. Research often carried out on the modification of teaching methods, uses of teaching media, motivation, interests and talents of students. Research related to the internal condition of students becomes very interesting to studied, including research on circadian rhythms. Every person in circadian rhythms has its own Chronotype, which divided into two types namely early type and night late type. Chronotype affects the comfort in activity, for example a person with Chronotype category of early type tends to be more comfort in daytime activities. The purpose of this study is to examine the conditions of students, related Chronotype suitable or appropriate for student learning time. This suitability then studied in relation to the ability of learning mathematics with self- regulated learning approach. This study consists of three stages; (i) student Chronotype measurement, (ii) data retrieval, and (iii) analysis of research results. The results show the relationship between the students' learning ability in mathematics to learning time corresponding to Chronotype.
School-University Action Research: Impacts on Teaching Practices and Pupil Learning

ERIC Educational Resources Information Center

Attorps, Iiris; Kellner, Eva

2017-01-01

The aim of this article is to describe a design and implementation of a school-university action research project about teaching and learning biology and mathematics in primary school. Nine teachers in grades 1 to 6, in collaboration with two researchers, were using content representation (CoRe) in learning study (LS)-inspired cycle as pedagogical…
Sharing "Cat Games" and Cookies: Special Education Students Investigate Division

ERIC Educational Resources Information Center

Taber, Susan B.; Canonica, Michele

2008-01-01

Learning mathematics has traditionally been thought of as a sequential progression. Children learn to count to 10, then to 20, and then to 100. They learn to add without regrouping and then with regrouping. The authors teach addition before multiplication and the two-times table before the six-times table. They usually teach division as a separate…
Listening to and Learning from Student Thinking

ERIC Educational Resources Information Center

Kazemi, Elham; Gibbons, Lynsey K.; Lomax, Kendra; Franke, Megan L.

2016-01-01

Eliciting, responding to, and advancing students' mathematical thinking all lie at the heart of great teaching. In this article, the authors describe a formative assessment approach that teachers can use to learn more about their students' mathematical thinking and inform their instructional decisions. This assessment approach draws on a widely…
Participatory and Anticipatory Stages of Mathematical Concept Learning: Further Empirical and Theoretical Development

ERIC Educational Resources Information Center

Simon, Martin A.; Placa, Nicora; Avitzur, Arnon

2016-01-01

Tzur and Simon (2004) postulated 2 stages of development in learning a mathematical concept: participatory and anticipatory. The authors discuss the affordances for research of this stage distinction related to data analysis, task design, and assessment as demonstrated in a 2-year teaching experiment.
Exploring Students' Technology Acceptance in College Developmental Mathematics

ERIC Educational Resources Information Center

Williams, Handan

2012-01-01

Technology has become a large component of teaching and learning in mathematics education. Gaining insight into students' technology acceptance factors is a crucial step in understanding instructional design and implementation of technology-based learning programs. Despite the widespread use of technology in education, few research efforts…
Conceptualizing Perseverance in Problem Solving as Collective Enterprise

ERIC Educational Resources Information Center

Sengupta-Irving, Tesha; Agarwal, Priyanka

2017-01-01

Students are expected to learn mathematics such that when they encounter challenging problems they will persist. Creating opportunities for students to persist in problem solving is therefore argued as essential to effective teaching and to children developing positive dispositions in mathematical learning. This analysis takes a novel approach to…
Student and Teacher Interventions: A Framework for Analysing Mathematical Discourse in the Classroom

ERIC Educational Resources Information Center

Drageset, Ove Gunnar

2015-01-01

Mathematical discourse in the classroom has been conceptualised in several ways, from relatively general patterns such as initiation-response-evaluation (Cazden in "Classroom discourse: the language of teaching and learning," Heinemann, London, 1988; Mehan in "Learning lessons: social organization in the classroom." Cambridge,…
Applying Cognitive Psychology Based Instructional Design Principles in Mathematics Teaching and Learning: Introduction

ERIC Educational Resources Information Center

Verschaffel, Lieven; Van Dooren, W.; Star, J.

2017-01-01

This special issue comprises contributions that address the breadth of current lines of recent research from cognitive psychology that appear promising for positively impacting students' learning of mathematics. More specifically, we included contributions (a) that refer to cognitive psychology based principles and techniques, such as explanatory…
Teachers' Considerations of Students' Thinking during Mathematics Lesson Design

ERIC Educational Resources Information Center

Amador, Julie M.

2016-01-01

Teachers' abilities to design mathematics lessons are related to their capability to mobilize resources to meeting intended learning goals based on their noticing. In this process, knowing how teachers consider Students' thinking is important for understanding how they are making decisions to promote student learning. While teaching, what teachers…
Learning Outcomes: Skills or Function?

ERIC Educational Resources Information Center

Ciancone, Tom; Tout, Dave

Participants in a teacher workshop compared these two approaches to learning outcomes in adult numeracy: (1) teaching mathematical skills and (2) using and applying mathematics from real life. The first approach was illustrated by an Ontario, Canada, program based on traditional school math, whose outcomes are skill-based and are the following:…
Professional Learning for Cultural Mathematics in Papua New Guinea's Elementary Schools

ERIC Educational Resources Information Center

Owens, Kay; Edmonds-Wathen, Cris; Kravia, Geori; Sakopa, Priscilla

2014-01-01

A design of principles for teacher professional learning was developed to improve the teaching of "Cultural Mathematics" in elementary schools in Papua New Guinea. The design's appropriateness for PNG elementary schools is the focus of the research implemented through week-long workshops using technology enhancement. Implementation has…
Technology-Supported Mathematics Environments: Telecollaboration in a Secondary Statistics Classroom

ERIC Educational Resources Information Center

Staley, John; Moyer-Packenham, Patricia; Lynch, Monique C.

2005-01-01

The Internet, an exciting and radically different medium infiltrating pop culture, business, and education, is also a powerful educational tool with teaching and learning potential for mathematics. Web-based instructional tools allow students and teachers to actively and interactively participate in the learning process (Lynch, Moyer, Frye & Suh,…
Programming in Preschool--With a Focus on Learning Mathematics

ERIC Educational Resources Information Center

Palmér, Hanna

2017-01-01

This article presents a teaching intervention where programming was used to facilitate preschoolers' learning of mathematics, especially in their development of spatial thinking. In the intervention, the programming was made with a small programmable robot especially designed for young students. The results indicate that the children developed…

Explicating the Concept of Contrapositive Equivalence

ERIC Educational Resources Information Center

Dawkins, Paul Christian; Hub, Alec

2017-01-01

This paper sets forth a concept (Simon, 2017) of contrapositive equivalence and explores some related phenomena of learning through a case study of Hugo's learning in a teaching experiment guiding the reinvention of mathematical logic. Our proposed concept of contrapositive equivalence rests upon set-based meanings for mathematical categories and…
Beyond Discourse and Interaction. Variation: A Critical Aspect for Teaching and Learning Mathematics

ERIC Educational Resources Information Center

Runesson, Ulla

2005-01-01

In this article a theory of learning, variation theory, is presented in order to address the "provocation" created by the relationship between theoretical positions and findings in research and what these do and do not disclose. I demonstrate how this can be used as an analytical tool for studying classroom learning in mathematics by juxtaposing…
Using an Advanced Graphing Calculator in the Teaching and Learning of Calculus

ERIC Educational Resources Information Center

Leng, Ng Wee

2011-01-01

The purpose of this study was to investigate how the use of TI-Nspire[TM] could enhance the teaching and learning of calculus. A conceptual framework for the use of TI-Nspire[TM] for learning calculus in a mathematics classroom is proposed that describes the interactions among the students, TI-Nspire[TM], and the learning tasks, and how they lead…
Approximating the Practice of Mathematics Teaching: What Learning Can Web-Based, Multimedia Storyboarding Software Enable?

ERIC Educational Resources Information Center

Herbst, Patricio; Chieu, Vu-Minh; Rougée, Annick

2014-01-01

This paper builds on Grossman's notion of approximations of practice as scaled-down opportunities for preservice teachers to learn to teach by doing. The authors propose the use of media rich, collaborative web-authoring tools for preservice teachers to create, complete, or edit scenarios in which they practice particular activities of teaching,…
Effects of Scaled-Up Professional Development Courses about Inquiry-Based Learning on Teachers

ERIC Educational Resources Information Center

Maass, Katja; Engeln, Katrin

2018-01-01

Although well researched in educational studies, inquiry-based learning, a student-centred way of teaching, is far away from being implemented in day-to-day science and mathematics teaching on a large scale. It is a challenge for teachers to adopt this new way of teaching in an often not supportive school context. Therefore it is important to…
Perception on mathematics teachers' quality of teaching between all boys secondary schools and all girls secondary schools

NASA Astrophysics Data System (ADS)

Arbin, Norazman; Kamarudin, Norsyazana; Abu, Mohd Syafarudy; Hamzah, Firdaus Mohamad; Ghani, Sazelli Abdul

2015-05-01

This survey research was designed to identify the secondary mathematics teachers' quality of teaching. Specifically, this study focused on students' perception, based on genders on the quality of teaching of their secondary mathematics teachers and, its relationship with the former's mathematics achievement. This research was carried in four different schools: two all boys' secondary schools and two all girls' secondary schools. Thus, a comparison between these two types of schools was made. The sample of the study involved 100 form four students from those schools. The result showed that the students from those schools had positive perception on their teachers' quality of teaching. Statistically, there was no difference between the boys' and girls' perceptions. There was a significant relationship between the boys' perception on the quality of their teachers' teaching and the boys' achievement. However, there was no significant relationship between the girls' perceptions on the quality of their teachers' teaching and the girls' achievement. The findings of this research could be used as a useful guideline for mathematics teachers and future mathematics teachers in enhancing the quality of their teaching and learning.
School Improvement Model to Foster Student Learning

ERIC Educational Resources Information Center

Rulloda, Rudolfo Barcena

2011-01-01

Many classroom teachers are still using the traditional teaching methods. The traditional teaching methods are one-way learning process, where teachers would introduce subject contents such as language arts, English, mathematics, science, and reading separately. However, the school improvement model takes into account that all students have…
Technological pedagogical content knowledge and teaching practice of mathematics trainee teachers

NASA Astrophysics Data System (ADS)

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

2014-07-01

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

ERIC Educational Resources Information Center

Fennell, Francis; Kobett, Beth McCord; Wray, Jonathan A.

2013-01-01

Elementary school mathematics leaders often come to the realization that their position, however titled and determined, although dedicated to addressing needs in math teaching and learning, also entails and directly involves leadership. Elementary school math specialists/instructional leaders (referenced here as elementary mathematics leaders, or…
Teachers' Innovative Change within Countrywide Reform: A Case Study in Rwanda

ERIC Educational Resources Information Center

Uworwabayeho, Alphonse

2009-01-01

This article presents practical perspectives on mathematics teacher change through results of collaborative research with two mathematics secondary school teachers in order to improve the teaching and learning of mathematics in Rwanda. The 2006 national mathematics curriculum reform stresses pedagogies that enhance problem-solving, critical…
The Relationship between Preservice Elementary Mathematics Teachers' Beliefs and Metacognitive Awareness

ERIC Educational Resources Information Center

Hart, Lynn Cecilia; Memnun, Dilek Sezgin

2015-01-01

The purpose of this study was to examine the metacognitive awareness and the beliefs about mathematics teaching and learning of preservice elementary mathematics teachers and to explore the relationship between the two. The Metacognitive Awareness Instrument (MAI) and the Mathematics Beliefs Instrument (MBI) were implemented with 118 elementary…
Mathematics in Early Years Education. 3rd Edition

ERIC Educational Resources Information Center

Montague-Smith, Ann; Price, Alison

2012-01-01

This third edition of the best-selling "Mathematics in Nursery Education" provides an accessible introduction to the teaching of mathematics in the early years. Covering all areas of mathematics learning--number and counting, calculation, pattern, shape, measures and data handling--it summarises the research findings and underlying key concepts…
Investigative Approaches to Teaching Mathematics and "Getting through the Curriculum": The Example of Pendulums

ERIC Educational Resources Information Center

Beswick, Kim; Muir, Tracey; Callingham, Rosemary

2014-01-01

The benefits of rich tasks, project-based learning, and other inquiry-based approaches in terms of student understanding and engagement with mathematics are well documented. Such pedagogies are consistent with the development of mathematical proficiencies as described in the "Australian Curriculum: Mathematics" (Australian Curriculum…
From the University to the Classroom: Prospective Elementary Mathematics Specialists' Pedagogical Shifts

ERIC Educational Resources Information Center

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

2016-01-01

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

ERIC Educational Resources Information Center

Ponce-Campuzano, Juan Carlos

2013-01-01

Mexican authorities and universities are actively working to improve mathematics teaching and learning across the education system. Thus, efforts are underway to raise the historically low performance in mathematics, which include theoretically grounded pedagogy and curriculum development to raise mathematical knowledge in teacher education…
Mathematical Teaching Strategies: Pathways to Critical Thinking and Metacognition

ERIC Educational Resources Information Center

Su, Hui Fang Huang; Ricci, Frederick A.; Mnatsakanian, Mamikon

2016-01-01

A teacher that emphasizes reasoning, logic and validity gives their students access to mathematics as an effective way of practicing critical thinking. All students have the ability to enhance and expand their critical thinking when learning mathematics. Students can develop this ability when confronting mathematical problems, identifying possible…
Connecting Research to Teaching: The "MOST" Productive Student Mathematical Thinking

ERIC Educational Resources Information Center

Stockero, Shari L.; Peterson, Blake E.; Leatham, Keith R.; Van Zoest, Laura R.

2014-01-01

Instruction that meaningfully incorporates students' mathematical thinking is widely valued within the mathematics education community (NCTM 2000; Sherin, Louis, and Mendez 2000; Stein et al. 2008). Although being responsive to student thinking is important, not all student thinking has the same potential to support mathematical learning.…
Voices of Reform: Infusion of Standards-Based Mathematics and Science Teaching in an Urban District.

ERIC Educational Resources Information Center

Huinker, DeAnn; Coan, Cheryl; Posnanski, Tracy

This study examined the impact of a systemic reform initiative to implement standards-based mathematics and science teaching and learning in one urban school district, noting its effect on teachers, principals, students, and classroom practice. Participants were a sample of elementary and secondary schools involved in the Milwaukee Urban Systemic…
Challenges in Mathematics and Statistics Teaching Underpinned by Student-Lecturer Expectations

ERIC Educational Resources Information Center

Parashar, Deepak

2014-01-01

This study is motivated by the desire to address some of the enormous challenges faced by the students as well as the lecturer in fulfilling their respective expectations and duties demanded by the process of learning--teaching of mathematics and statistics within the framework of the constraining schedules laid down by the academic institutions…
Worldviews, Religions, and Beliefs about Teaching and Learning: Perception of Mathematics Teachers with Different Religious Backgrounds

ERIC Educational Resources Information Center

Chan, Yip-Cheung; Wong, Ngai-Ying

2014-01-01

Beliefs about mathematics education and their influences on teaching practices have been widely investigated in recent decades. There have been numerous empirical studies on the influences of religions on teachers' and students' beliefs about subjects such as sciences and language. However, the influences of worldviews in general and…

The Vital Role of Basic Mathematics in Teaching and Learning the Mole Concept

ERIC Educational Resources Information Center

Mehrotra, Alka; Koul, Anjni

2016-01-01

This article focuses on the importance of activity-based teaching in understanding the mole concept and the vital role of basic mathematical operations. It describes needs-based training for teachers in a professional development programme in India. Analysis of test results before and after the training indicates that teachers improved their…
High School Mathematics Teaching in the USA

ERIC Educational Resources Information Center

Sherman, Brian

2010-01-01

The United States of America is a large and diverse country; nevertheless, high schools have a lot in common across the nation. In particular, mathematics teaching in American high schools, while not stereotyped, has some accepted norms which would be seen as unusual here in Australia. In order for the Australians to learn from the Americans, as…
Connecting Math Website Evaluation to an Authentic Learning Activity for Teaching Candidates

ERIC Educational Resources Information Center

Ziegenfus, Robert G.; Smith, Michael

2015-01-01

This article will discuss two teacher training functions: One function is to give the teacher candidates practice in evaluating currently available mathematics websites used in grades K-8 for mathematics instruction. The second function is the evaluation of data by teaching candidates of 13 commonly used math sites by middle and elementary…
A Study of the Effects of Teaching Avatars on Students' Learning of Surveying Mathematics

ERIC Educational Resources Information Center

Adamo-Villani, Nicoletta; Dib, Hazar Nicholas

2016-01-01

The paper reports a research study aimed at investigating the appeal and pedagogical efficacy of animated teaching avatars. Specifically, the goal of the study was to determine whether animated characters could be effective and engaging teachers in the context of undergraduate surveying mathematics. The study included two forms of evaluation:…
Mathematical Modelling and the Learning Trajectory: Tools to Support the Teaching of Linear Algebra

ERIC Educational Resources Information Center

Cárcamo Bahamonde, Andrea Dorila; Fortuny Aymemí, Josep Maria; Gómez i Urgellés, Joan Vicenç

2017-01-01

In this article we present a didactic proposal for teaching linear algebra based on two compatible theoretical models: emergent models and mathematical modelling. This proposal begins with a problematic situation related to the creation and use of secure passwords, which leads students toward the construction of the concepts of spanning set and…
Video as a Professional Development Tool to Support Novice Teachers as They Learn to Teach English Language Learners

ERIC Educational Resources Information Center

Estapa, Anne; Pinnow, Rachel J.; Chval, Kathryn B.

2016-01-01

This two-year study investigated how an innovative video tool enhanced novice-teacher noticing abilities and instructional practice in relation to teaching mathematics to English language learners in third grade classrooms. Specifically, teachers viewed videos of their mathematics lessons that were filmed by Latino English language learners who…
Creating opportunities to learn in mathematics education: a sociocultural perspective

NASA Astrophysics Data System (ADS)

Goos, Merrilyn

2014-09-01

The notion of `opportunities to learn in mathematics education' is open to interpretation from multiple theoretical perspectives, where the focus may be on cognitive, social or affective dimensions of learning, curriculum and assessment design, issues of equity and access, or the broad policy and political contexts of learning and teaching. In this paper, I conceptualise opportunities to learn from a sociocultural perspective. Beginning with my own research on the learning of students and teachers of mathematics, I sketch out two theoretical frameworks for understanding this learning. One framework extends Valsiner's zone theory of child development, and the other draws on Wenger's ideas about communities of practice. My aim is then to suggest how these two frameworks might help us understand the learning of others who have an interest in mathematics education, such as mathematics teacher educator-researchers and mathematicians. In doing so, I attempt to move towards a synthesis of ideas to inform mathematics education research and development.
Professional development in statistics, technology, and cognitively demanding tasks: classroom implementation and obstacles

NASA Astrophysics Data System (ADS)

Foley, Gregory D.; Bakr Khoshaim, Heba; Alsaeed, Maha; Nihan Er, S.

2012-03-01

Attending professional development programmes can support teachers in applying new strategies for teaching mathematics and statistics. This study investigated (a) the extent to which the participants in a professional development programme subsequently used the techniques they had learned when teaching mathematics and statistics and (b) the obstacles they encountered in enacting cognitively demanding instructional tasks in their classrooms. The programme created an intellectual learning community among the participants and helped them gain confidence as teachers of statistics, and the students of participating teachers became actively engaged in deep mathematical thinking. The participants indicated, however, that time, availability of resources and students' prior achievement critically affected the implementation of cognitively demanding instructional activities.
Adding Math to Biology.

ERIC Educational Resources Information Center

Texley, Juliana

2001-01-01

Describes a teaching method in which students learn about evolutionary biology through the use of mathematics. Uses the concept of biostatistics, the mathematical analysis of the variation in nature, to understand evolution. (SAH)
Teaching One Thing at a Time or Several Things Together?--Teachers Changing Their Way of Handling the Object of Learning by Being Engaged in a Theory-Based Professional Learning Community in Mathematics and Science

ERIC Educational Resources Information Center

Kullberg, Angelika; Runesson, Ulla; Marton, Ference; Vikström, Anna; Nilsson, Pernilla; Mårtensson, Pernilla; Häggström, Johan

2016-01-01

Twelve lower secondary schoolteachers in mathematics and science were asked to teach a topic of their choice during a lesson that was video-recorded. We were able to analyse 10 of the cases and we found that all of them were similar in one respect: concepts and principles were introduced one at a time, each one followed by examples of the concept…
Pre-Service Physics Teachers' Comprehension of Quantum Mechanical Concepts

ERIC Educational Resources Information Center

Didis, Nilufer; Eryilmaz, Ali; Erkoc, Sakir

2010-01-01

When quantum theory caused a paradigm shift in physics, it introduced difficulties in both learning and teaching of physics. Because of its abstract, counter-intuitive and mathematical structure, students have difficulty in learning this theory, and instructors have difficulty in teaching the concepts of the theory. This case study investigates…
Computerized Proof Techniques for Undergraduates

ERIC Educational Resources Information Center

Smith, Christopher J.; Tefera, Akalu; Zeleke, Aklilu

2012-01-01

The use of computer algebra systems such as Maple and Mathematica is becoming increasingly important and widespread in mathematics learning, teaching and research. In this article, we present computerized proof techniques of Gosper, Wilf-Zeilberger and Zeilberger that can be used for enhancing the teaching and learning of topics in discrete…
Early Years Teachers' Perspectives on Teaching through Multiple Metaphors and Multimodality

ERIC Educational Resources Information Center

Mildenhall, Paula

2015-01-01

Recent research findings indicate that using multiple metaphors in multimodal learning experiences are effective teaching approaches in early years mathematics. Using a social semiotic lens this paper reports on eight early years teachers' perceptions of this approach whilst engaging in a small collaborative professional learning group. This group…
Measurement for Work. Teaching Guide and Sample Learning Activities.

ERIC Educational Resources Information Center

Angel, Margo; Bolton, Chris

This document is intended to help Australian technical and further education instructors in New South Wales (TAFE NSW) identify teaching principles and learning activities that they can use to help adult learners master the mathematics processes, knowledge, and skills needed to perform basic measurement tasks in today's workplace. The materials…
Identifying Key Components of Teaching and Learning in a STEM School

ERIC Educational Resources Information Center

Morrison, Judith; Roth McDuffie, Amy; French, Brian

2015-01-01

This study was conducted at an innovative science, technology, engineering, and mathematics high school, providing a rich contextual description of the teaching and learning at the school, specifically focusing on problem solving and inquiry approaches, and students' motivation, social interactions, and collaborative work. Data were collected…
Application of Number. Teaching and Learning.

ERIC Educational Resources Information Center

Bove, Francis

This basic math skills teaching and learning guide contains practical advice and resources for British vocational teachers who have little formal mathematics education training and for beginning teachers. The document has five sections on these topics dealing with numeracy instruction: (1) overview of the basic skill and its application to other…
Professional Noticing: Learning to Teach Responsively

ERIC Educational Resources Information Center

Thomas, Jonathan; Fisher, Molly H.; Jong, Cindy; Schack, Edna O.; Krause, Lisa R.; Kasten, Sarah

2015-01-01

In the buzzing activity of the mathematics classroom, teaching in a way that effectively responds to and furthers students' thinking can be quite challenging. Given that teachers' instructional decisions will directly influence students' learning, it is extremely important to develop the sorts of practices that lead to productive in-the-moment…
Examining the Task and Knowledge Demands Needed to Teach with Representations

ERIC Educational Resources Information Center

Mitchell, Rebecca; Charalambous, Charalambos Y.; Hill, Heather C.

2014-01-01

Representations are often used in instruction to highlight key mathematical ideas and support student learning. Despite their centrality in scaffolding teaching and learning, most of our understanding about the tasks involved with using representations in instruction and the knowledge requirements imposed on teachers when using these aids is…
Encouraging Example Generation: A Teaching Experiment in First-Semester Calculus

ERIC Educational Resources Information Center

Wagner, Elaine Rumsey; Orme, Susan Marla; Turner, Heidi Jean; Yopp, David

2017-01-01

Mathematicians use example generation to test and verify mathematical ideas; however, the processes through which undergraduates learn to productively generate examples are not well understood. We engaged calculus students in a teaching experiment designed to develop skills in productively generating examples to learn novel concepts. This article…
Teaching Multistep Equations with Virtual Manipulatives to Secondary Students with Learning Disabilities

ERIC Educational Resources Information Center

Satsangi, Rajiv; Hammer, Rachel; Evmenova, Anya S.

2018-01-01

Students with learning disabilities often struggle with the academic demands presented in secondary mathematics curricula. To combat these students' struggles, researchers have studied various pedagogical practices and classroom technologies for teaching standards covered in subjects such as algebra and geometry. However, as the role of computer-…

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