Journal of Mathematics Teacher Education

There is a documented need for more opportunities for teachers to learn about students’ mathematical reasoning. This article reports on the experiences of a group of elementary and middle school mathematics teachers who participated as interns in an after-school, classroom-based research project on the development of mathematical ideas involving middle-grade students from an urban, low-income, minority community in the United States. For 1 year, the teachers observed the students working on well-defined mathematical investigations that provided a context for the students’ formation of particular mathematical ideas and different forms of reasoning in several mathematical content strands. The article describes insights into students’ mathematical reasoning that the teachers were able to gain from their observations of the students’ mathematical activity. The purpose is to show that teachers’ observations of students’ mathematical activity in research sessions on students’ development of mathematical ideas can provide opportunities for teachers to learn about students’ mathematical reasoning.

Estonian students achieved high scores in the latest Programme for International Student Assessment surveys. At the same time, there needs to be more knowledge about the teachers guiding these students, as this could provide insights into effective teaching methods that can be replicated in other educational contexts. According to the Teaching and Learning International Survey, Estonian teachers' average age is among the highest in the world, and the shortage of young, qualified mathematics teachers is well-documented. The present study aimed to map the motivating and demotivating factors for mathematics teachers to continue working in this profession. The effective sample comprised 164 Estonian mathematics teachers who responded to items regarding self-efficacy and job satisfaction and open-ended questions about motivating and demotivating factors regarding their work. The results showed that students, salary and vacation, and job environment are both motivating and demotivating for mathematics teachers. On the one hand, helping the students to succeed (and witnessing the progress), satisfying salaries and a good job climate motivate the teachers. And at the same time, students' low motivation, poor salary, and straining work conditions (e.g., very high workload) serve as demotivating factors. We showed that mathematics teachers' work experience is an essential factor to be considered when thinking about motivating and demotivating factors for teachers, as well as their self-efficacy and job satisfaction. The reasons, possible impact, and potential interventions on an educational policy level are discussed.

Teacher learning through professional development is a complex process and is not yet well understood. Some features of professional development programs are known to be important, such as a focus on learner needs, design of and reflection on classroom artefacts, and the creation and sustaining of communities of support for teacher professional learning. In this paper, we describe the workings of such communities in a teacher professional development program, which focused on learner errors in a well-researched mathematical topic—the equal sign. Drawing on data from program sessions where teachers discussed their lesson designs and reflections on their teaching with each other, we develop the notions of challenge and solidarity as important in developing accountability conversations among teachers. We show how our program supported teachers to challenge each other and to build solidarity with each other and in so doing to develop accountability to each other and the profession, for their practices and their learning.

This study investigated 481 in-service elementary teachers’ level of mathematical content knowledge, attitudes toward mathematics, beliefs about the effectiveness of inquiry-based instruction, use of inquiry-based instruction and modeled the relationship among these variables. Upper elementary teachers (grades 3–5) were found to have greater content knowledge and more positive attitudes toward mathematics than primary teachers (grades K-2). There was no difference in teachers’ beliefs about effective instruction, but primary level teachers were found to use inquiry-based instruction more frequently than upper elementary teachers. Consistent with Ernest’s [Ernest (1989). The knowledge, beliefs and attitudes of the mathematics teacher: A model. Journal of Education for Teaching, 15(1), 13–33] model of mathematics teaching, content knowledge, attitudes, and beliefs were all found to be related to teachers’ instructional practice. Furthermore, beliefs were found to partially mediate the effects of content knowledge and attitudes on instructional practice. Content knowledge was found to be negatively related to beliefs in the effectiveness of inquiry-based instruction and teachers’ use of inquiry-based instruction in their classrooms. However, overall, teachers with more positive attitudes toward mathematics were more likely to believe in the effectiveness of inquiry-based instruction and use it more frequently in their classroom. Teacher beliefs were found to have the strongest effect on teachers’ practice. Implications for the goals and objectives of elementary mathematics methods courses and professional development are discussed.

In this article, I discuss a case of pre-primary and primary school teacher education concerning place value in number representation. In primary school (in Italy, in grades 1 and 2), the topic is usually introduced by means of manipulatives (for instance, abaci and base ten blocks). But it is well known that no artefact is transparent for mathematical meaning, unless the social practices of the mathematics classroom, initiated by the teacher, are effective. The aim of this study is to report on tasks given in a four-session (16 h) workshop for 27 prospective pre-primary and primary school teachers, where the use of artefacts in learning place value in base ten was tackled, within a suitable theoretical framework. Different sessions of the workshop are analysed, focusing on tasks related to different components of mathematics knowledge for teaching. Effectiveness for professional growth is reported, quoting documents written by students and by external evaluators. In a final paragraph, the implication for pre-primary school teacher education is addressed.