Prospective Primary Teachers’ Professional Noticing in Non-formal Learning Environments: The Case of a Mathematics Fair

Research around mathematics teachers’ professional noticing has been largely contextualised by the formal setting of the classroom. In addressing the lack of relevant studies in non-formal learning environments, this paper draws on student teachers’ observations within a Mathematics Fair, which was part of a mathematics methods module of a primary education undergraduate programme. Working in pairs, 64 student teachers designed interactive mathematical games which upper primary school pupils had the opportunity to play in an event having taken place at our university. In this study, we analyse student teachers’ individual reflective essays written after the Fair, where they discussed important, in their view, incidents and observations. Employing a thematic analysis approach, we identified four themes discussed by students: the task; learning; teaching; non-formal environment. We conclude with the implications for teacher education and suggestions for future research.

Prospective primary teachers’ views on the nature of science

This article presents the results of a piece of research that analyzed the views on the nature of science (NOS) among student teachers enrolled in programs of Primary Education at two public universities in Spain. Previous studies have reported that science teachers maintain ‘eclectic’ epistemological perspectives on science; in this article, we test if such a hypothesis holds when teachers’ NOS ideas are ‘anchored’ in specific periods and topics of the philosophy of science. We studied 114 prospective teachers attending an undergraduate teaching course with emphasis on the natural sciences at the Universities of Burgos and Valladolid in the period of 2017-18. A Likert-scale questionnaire with 50 items was applied to determine trends in those teachers’ epistemological views on science. The results showed that teachers’ views are mostly correlated with the philosophical period of Logical Positivism/Received View, and to some extent to the period of Recent and Contemporary Accounts. Regarding the classical epistemological topics of correspondence, methodologies, intervention, evolution and representation, teachers’ views could be related to the period of Logical Positivism/Received View and Critical Rationalism, but also to the New Philosophy of Science. The main conclusion of this study is that teachers’ expressed views on NOS are epistemologically eclectic to a much smaller degree when examined with more detail concerning specific periods and topics of the philosophy of science.

The Pedagogical Knowledge Deployed by a Primary Mathematics Teacher Educator in Teaching Symmetry

Although the knowledge required by mathematics teacher educators is a relatively recent area of research, there has been significant progress in the field over the last few years. The classic distinction of a teacher’s knowledge into content knowledge and pedagogical content knowledge prompts us to reflect in this regard on what should constitute the content of primary teacher education programmes, and how the educator might mediate this content to make it accessible to their prospective teachers. This paper aims to contribute to this progress through a study into the work of Lucas, a teacher educator, during the course of a training session with prospective primary teachers. Critical observation of the video recording brought to the fore salient teaching situations on the topic of symmetry, which led us to explore the pedagogical content knowledge deployed in the session through a guided interview with the educator. Analysis of extracts from this interview enabled us to identify three main categories of this PCK: knowledge about how to teach programme content; knowledge about the characteristics of prospective primary teachers’ learning; and knowledge about the standards and norms of primary teacher education programmes.

Pre–service and In-service primary teachers’ generic and subject-specific skills On Geometric understanding of symmetry: A case study

According to the curricula all over the world symmetry plays an important role in the teaching geometry at primary levels. Geometry is one of topics that have the most problematic content knowledge for the prospective primary teachers. This paper studies the understanding of the symmetry of shapes among pre-service and in-service teachers to find out their visual perception of the geometric shapes symmetry and the symmetry axis. The aim is to create a symmetrical pattern with symmetry axis of the shapes. Evidence that only content-oriented professional development coursework taken by primary school math teachers appears effective, suggests that relatively more resources ought to be put into content focused training for teachers and that changes are warranted at the elementary level and in pedagogical in-service training generally. The primary teacher needs to be able to modify some proposed problems in order to get a richer mathematical activity, being aware of their mathematical benefits. It should be part of growing the capacity of analyzing didactically the mathematics activity.

An Approach to Prospective Primary School Teachers’ Concept of Environment and Biodiversity through their Design of Educational Itineraries: Validation of an Evaluation Rubric

The aim of this work is to promote outdoor activities to bring students closer to the environment and the biodiversity of their surroundings. In this sense, educational itineraries are a very good educational resource that promotes skills developing (scientific, cartographic, educational, etc.) which are necessary for the appropriate design of teaching proposals. The present study is carried out with the prospective primary teachers from the Universities of Sevilla and Huelva (Spain). Firstly, the purpose is to analyse what type of educational itineraries they can design after an outdoor activity. Secondly, a rubric is validated as an instrument of analysis and evaluation immersed in a qualitative methodology. The results show what kind of itineraries are designed, and what knowledge and conceptual difficulties the students display. Most of them do not recognize the minimal of elements making up the itineraries, and have difficulties in understanding the environment as a complex system. In summary, we think that the students’ lacking of knowledge about the environment and its biodiversity, the poor geographic-cartographic competencies that they have, together with their maintenance of traditional conceptions of teaching, do not allow them to design proposals of interest for teaching-learning processes.

Mathematics teacher's specialised knowledge of prospective primary teachers: An explorative study

The importance of good mastery of specialised mathematics knowledge for mathematics teachers and prospective teachers is now recognised internationally. This paper presents an exploratory study aimed at investigating how mathematics education courses affect the Mathematics Teachers’ Specialised Knowledge (MTSK) of prospective primary teachers. A questionnaire was administered to a sample of 118 future teachers, and an analysis of their answers was carried out with the MTSK model. The research highlights positive feedback on the effectiveness of the mathematics education laboratory that was staged, and provides an outline of the beliefs and the knowledge of the prospective teachers.