This article explores moments of becoming a/r/tography. A/r/tography is a research methodology, a creative practice, and a performative pedagogy that lives in the rhizomatic practices of the in-between. Resisting the tendency for endless critique of past experience and bodies of knowledge, a/r/tography is concerned with the creative invention of…

Mathematical knowledge of pre-service teachers is currently "under the microscope" and the subject of research. This paper proposes a different approach to teacher content knowledge based on the "big ideas" of mathematics and the connections that exist within and between them. It is suggested that these "big ideas"…

In this paper, we describe students' concept images of average and average rate of change and the similarities and differences between those concept images. We do so by describing the students' ways of thinking and ways of understanding average and average rate of change, and how the students' meanings for average influenced their conceptions of…

We have been developing a digital concept maps website (www.conceptmapsforlearning.com) based on the principles of effective assessment for learning. The purpose of this paper is to reveal its promising contributions to formative evaluation practices. The website reduces the workload of teachers as well as provides immediate and delayed feedback…

This paper is located within the research into encouraging learners to reason mathematically and become engaged with concepts rather than just procedures. It reports on a research in progress examining two techniques to be used at the beginning of a sequence of lessons in order to elicit students' prior knowledge and understanding of topics about…

In view of the perceived difficulty of organic chemistry unit for high schools students, this study examined the usefulness of concept mapping as a testing device to assess students' difficulty in the select areas. Since many tests used for identifying students misconceptions and difficulties in school subjects are observed to favour one or the…

Ontologies describe a body of knowledge and give formal structure to a domain by describing concepts and their relationships. The construction of an ontology provides an opportunity to develop a shared understanding and a consistent vocabulary to be used for a given activity. This paper describes the construction of an ontology for an area of…

Niigata University has started to develop the Niigata University Bachelor Assessment System (NBAS). The objective is to have groups of teachers belonging to educational programs discuss whether visualized learning outcomes are comprehensible. Discussions based on teachers' subjective judgments showed in general that visualized learning outcomes…

Mathematics educators and mathematics standards of curriculum have emphasised the importance of constructing the interconnectedness among mathematic concepts ("conceptual understanding") instead of only the ability to carry out standard procedures in an isolated fashion. Researchers have attempted to assess the knowledge networks in…

Student retention is the field of institutional research that has (deservedly) had the most attention. Besides the models proposed by Tinto (1975, 1993), there have been many theoretical and applied papers on many aspects of student retention. These include demographic characteristics, scholastic scores, financial and residential considerations,…

Mastery learning is a formative assessment strategy that involves the use of specific interventions, called correctives, to address the specific comprehension needs of the learner. Effective correctives are crucial for the effectiveness of mastery learning, so it is important that teachers make good decisions about what activities and strategies…

The article shows how mind-mapping software can be used to help premedical students learn, apply and relate terminology sharing Greek and Latin roots. Mind-mapping software use a center, branches, and sub-branches to show connections between Greek and Latin roots generated on the mind map. Instruction with the mind-mapping software goes through…

The purpose of the study was to examine how teachers enhance their knowledge of rational numbers focused on modeling problem tasks using multiple representations. The professional development summer institute and the follow-up Lesson Study (Lewis, 2002) throughout the academic year focused on engaging teachers in rational numbers and proportional…

This research paper reports on evidence from 24 teacher-led action research case studies and builds on the 2008 CfBT Education Trust published paper by Richard Churches and John West-Burnham "Leading learning through relationships: the implications of Neurolinguistic programming for personalisation and the children's agenda in England".…

This research examined the link between learning processes and knowledge formation through an integrated literature review from both academic and practical viewpoints. Individuals' learning processes and organizational knowledge creation were reviewed by means of theoretical and integrative analysis based on a lack of empirical research on the…