How Chinese Teach Mathematics: Canadian Teachers’ Perspectives

As part of a large reciprocal learning partnership project between Canada and China, this study explored Canadian teachers’ perceptions of mathematics teaching in elementary schools in China. Using reciprocal learning and Activity Theory as the theoretical lens, we collected data, i.e., classroom observations, group discussion, and informal exchanges from teachers in a pair of research sister-schools in Canada and China. Qualitative data analyses revealed four themes in Canadian teachers’ perceptions of the characteristics of Chinese mathematics teaching: an active teacher-student interaction model of questioning-responding, a mathematical knowledge-package summary at the end of each lesson, integration of the history of mathematics into teaching, and the development and implementation of well-structured lessons. Contributions, implications, and limitations of the study in mathematics education and research are discussed.     

Elementary School Teachers’ Use of Technology During Mathematics Teaching

Various educational technologies have been advanced as potential vehicles to transform teaching and learning. Still, research studies have documented that primary school teachers struggle to integrate technology in meaningful ways. This article presents the findings of a year-long study in which the author frequently observed three primary school teachers’ enactments of technology into their mathematics teaching. Each teacher was observed between 25 and 30 times during the school year. The types of technologies used as well as the types of mathematical tasks and problems that participants posed while teaching with technology were inductively analyzed. Inductive qualitative analyses indicated that participants’ technology use focused on presentation technologies such as the document camera or interactive whiteboard more than computer-based technologies or interactive activities. Further, teachers varied widely in their enacted pedagogies while integrating technology, and two participants demonstrated more frequent enactments of learner-centered pedagogies toward the end of the school year. Implications for researching teachers’ use of technology in the future are also shared.     

Using Variables in School Mathematics: Do School Mathematics Curricula Provide Support for Teachers?

This study employed content analysis to examine 3 popular middle-grades mathematics curricula in the USA on the support they provide for teachers to implement concepts associated with variables in school mathematics. The results indicate that each of the 3 curricula provides some type of support for teachers, but in a varied amount and quality. More specifically, whereas the University of Chicago School Mathematics Project (UCSMP) curriculum provides support for teachers on several aspects of using variables in school mathematics, the support found in the Connected Mathematics 2 and the Math Connects curricula focused mainly on one conception of variables—namely, the use of variables as quantity that varies in the Connected Mathematics 2 curriculum and the use of variables as specific unknowns in the Math Connects curriculum. Overall, the UCSMP curriculum provides the most support for teachers, followed by the Connected Mathematics 2 curriculum, with the Math Connects curriculum recording the least support for teachers to enact variable concepts. It is worth pointing out that, although the 3 curricula collectively provide guidance for teachers to implement variable ideas within meaningful real-world contexts, the supports identified in the respective curriculum were not sufficient in addressing all of the areas that are essential for teaching the many concepts associated with variables in school mathematics effectively. Recommendations for curriculum developers and for international researchers with interest in the roles of variables in school mathematics are provided.     

Engaging Primary School Students in Mathematics: Can iPads Make a Difference?

Research on the impact of the integration of technologies such as iPads on primary students’ attitudes and engagement in mathematics is limited. Further, there have been claims that teachers’ pedagogical choices can strongly influence the effectiveness of iPads for engaging students in mathematics. This paper presents an investigation of the influence of teaching and learning mathematics with iPads on students’ attitudes and engagement in mathematics. The participants in this study were students in a large urban primary school, implementing an iPad program for teaching and learning across the curriculum. Surveys with five-point Likert-type items were used to measure students’ attitudes to mathematics. Students from Years 2 to 6 completed the survey at the beginning and end of two consecutive school years. Survey results suggested that iPad use in mathematics has the potential to impact positively on students’ attitudes to mathematics. At the end of the second year of the study, semi-structured interviews were conducted with teachers and students. The interview responses confirmed that iPads had a positive influence on students’ engagement and attitudes to mathematics, and that the pedagogical approaches utilised by teachers for embedding iPads in their mathematics lessons contributed positively to these outcomes.     

Teachers’ Sickness Absence in Primary Schools,School Climate and Teachers’ Sense of Efficacy

Training programmes may compromise governors' ability to offer an authentic lay’ input. The article reports the views of governors interviewed about their perceptions of the need for a degree of expert status. It is tentatively suggested that training courses may be contributing both to a sense of inadequacy and to the tendency to become ‘incorporated’ into an institutionalised role. Some models of governor training are considered in relation to their possible effects.     

South African Primary Mathematics Teachers’ Experiences and Perspectives About Lesson Study

This study aims to investigate the perspectives of primary school teachers in South Africa, who participated in a Lesson Study (LS) project, on this professional development process and about their professional learning. The study followed a mixed approach, with data collected through a questionnaire, followed up by interviews. A novel approach in this study was to source teachers’ experiences of the individual stages of LS as well as of the integrated process. Teachers’ perspectives on LS were categorised into 5 themes: collaboration — commitment and the free rider effect, confidence issues, teachers’ knowledge and skills, misconceptions about the LS approach, and external issues including concerns over time of teachers and learners, systemic challenges and school management. Using teachers’ individual and focus group inputs in the questionnaire and the interviews, we report about their experiences.

     

A Survey of Primary School Teachers’ Understanding and Implementation of Moral Education in Trinidad and Tobago 1

Abstract

Results from a survey of teachers’ understanding and implementation of moral education in primary schools in Trinidad and Tobago are presented here, against consideration of the role of moral education in schooling. The paper discusses the range of moral curricula available for the implementation of moral education in schools and constraints on implementation in the classroom. It also compares the need for and applicability of moral education programmes in developing and developed countries. In Trinidad and Tobago, noted for its population and religious mix, the role of moral education has been given importance from the highest levels at the Ministry of Education and elsewhere in government. The survey of a representative sample of teachers in primary schools throughout the country showed that they largely felt themselves responsible for introducing moral education to their pupils, although they rarely drew upon any specific curriculum. They tended to take a ‘virtues’ approach in their teaching of moral education, and were generally satisfied with the results of their efforts. There were few differences between understanding and implementation of moral education that could be attributed to age, sex, experience or responsibilities of the teacher, or the age of the pupils. These results are not just characteristic of a developing country as they mirror earlier findings in England and elsewhere.

     

Cypriot and Greek Primary Teachers’ Conceptions about Mathematical Assessment∗

The purpose of this study, which is part of a larger research program, was to investigate teachers’ conceptions about assessment. A mailed questionnaire sent to 5th and 6th grade teachers in Cyprus and Greece produced a rather optimistic picture about the investigated issues. However, some semi‐structured interviews, which followed, showed that teachers in both countries seemed to have a rather vague understanding of relevant key concepts.     

Mentors’ Roles in a Primary Articled Teachers’ Scheme

As school‐based initial teacher training is the preferred government route to teaching, even in primary education, research which examines the role of the teacher mentor is especially pertinent. This study is based on semi‐structured interviews with nine mentors about how they spend their time when mentoring. The findings revealed that a major part of their time is taken up as channels of communication between the various partners in the scheme and on the practicalities of working with their Articled Teachers (ATs). Functions requiring developing ATs’ curriculum knowledge and expertise and assessment of ATs’ teaching competence appear to be two important aspects on which they spend time but do not relish. Whether practising primary teachers are the most suitable people to deliver all aspects of ITT is questioned.     

Preservice Middle and High School Mathematics Teachers’ Strategies when Solving Proportion Problems

The purpose of this study was to investigate eight preservice middle and high school mathematics teachers’ solution strategies when solving single and multiple proportion problems. Real-world missing-value word problems were used in an interview setting to collect information about preservice teachers’ (PSTs) reasoning about proportional relationships. An explanatory case study methodology with multiple cases was used to make comparisons within and across cases. Analysis of the semi-structured interviews with each PST revealed that using practical problems, in which plastic gears and a mini balance system were provided, and multiple proportion problems facilitated the PSTs’ recognition of the proportional relationships in their solutions. Therefore, they avoided using cross-multiplication and erroneous strategies in those problems. Among the strategies that the PSTs used in solving single and multiple proportion problems, the ratio table strategy was the most frequent and effective strategy. The ratio table strategy enabled the PSTs to recognize the constant ratio and product relationships more than the other strategies. The results of this study illuminate how PSTs reason about proportional relationships when they cannot rely on computation methods like cross-multiplication.     

The Findings of the 9‐13 Middle School Survey: a local authority view

This paper presents an illustration of how the regression‐discontinuity design can be used to obtain an unbiased estimate of the causal effect of participating in a university remedial English program on first‐year grade point average. First‐year grade point averages were collected for 197 first‐time, full‐time university students, along with the scores they received on an English placement examination, and a measure of remedial program assignment. Regression discontinuities indicate that first‐year grade point averages were approximately 0.392 points higher for students who participated in a remedial English program as compared to equivalent students who did not participate in the remedial program. We also present various threats to validity and limitations of the regression‐discontinuity design.     

Development in South African Primary Mathematics Teacher Educators’ Work with In-Service Teachers

This paper focuses, empirically, on the developments seen in a group of South African early grades’ mathematics teacher educators in the course of a university-provincial education department partnership project. This project sought to support the district Mathematics Subject Advisers to support, in turn, teachers to implement an intervention consisting of a sequence of four lessons focused on multiplicative reasoning. Outcomes based on pre- and post-tests administered by the Subject Advisers suggested substantial pre- to post-test improvement at the student level. Subject Adviser observations and reflections pointed to successes in engendering more dialogic conversations between mathematics teachers and mathematics teacher educators focused on mathematics and its teaching and learning. The ‘double move’ of increasing overlap between the subject adviser and teacher communities, coupled with evidence that implementing the intervention had enabled the Subject Advisers to develop their mathematical and pedagogical understandings, provides a useful way of considering development in the capacity of mathematics teacher educators to support mathematics teaching and learning.

     

Effects of an Ancient Chinese Mathematics Enrichment Programme on Secondary School Students’ Achievement in Mathematics

Ancient Chinese mathematics has been the focus of many research studies and scholarly works from a historical perspective. However, no move has been made to investigate its role in the teaching and learning of mathematics. This pilot study examined the effects of an Ancient Chinese Mathematics Enrichment Programme (ACMEP) on the academic achievement of second year students from a secondary school in Singapore—a strand of a principal study which had the intent of investigating possible roles of ancient Chinese mathematics in the Singapore secondary school mathematics curriculum. Analysis of covariance was used to examine the difference in mean scores on a variety of formal assessments in mathematics between students who participated in the ACMEP and those who did not. In addition, scores on formal assessments of other relevant subjects were analyzed to further investigate ACMEP’s scope of influence.     

Multivariate Assessment of Middle School Students’ Interest in STEM Career: a Profile from Turkey

Research in Science Education - According to a report by the Turkish Industry and Business Association, Turkey will need approximately 1 million individuals to be employed in Science Technology...     

Shifting Pre-Service Teachers’ Beliefs About Mathematics Teaching: the Contextual Situation of a Mathematics Methods Course

For pre-service teachers (PSTs) who have been exposed to traditional approaches, teacher education courses can be a revelatory experience in their development as educators. This study explores if Canadian upper elementary/lower secondary (grades 4–10) PSTs change their beliefs about mathematics teaching as a result of taking a mathematics methods course and how the course influenced these beliefs. Surveys were used to measure participants’ mathematics beliefs, and results show that PSTs’ beliefs moved to favor reform-based approaches. Qualitative data complemented the survey results, suggesting that experiencing new approaches and having the opportunity to apply them into practice are important to their development as mathematics teachers.     

What Constitutes Good Mathematics Teaching and How it Develops: Nine High School Teachers’ Perspectives

Scholars of decades past, current researchers, and various reform documents all deal, directly or indirectly, with the question of what constitutes good mathematics teaching. Often good teaching is situated in the context of broader educational goals, such as preparing literate citizenry. Researchers generally define good teaching implicitly with attention to various processes such as reasoning and problem solving. In a series of three interviews, we examined nine experienced and professionally active teachers’ views of good mathematics teaching and how it develops. The interviews were couched in the context of the teachers mentoring student teachers. In general, these teachers thought good teaching requires a sound knowledge of mathematics, promotes mathematical understanding, engages and motivates students, and requires effective management skills. Furthermore, the teachers felt that good teaching is developed from experience, education, personal reading and reflection, and interaction with colleagues. Experience was considered the primary contributor. The article compares and contrasts the teachers’ notions of good teaching with those of various scholars and researchers and positions stated in various reform documents.