Australian students' attitudes to mathematics are in decline relative to other countries. Their participation in senior secondary mathematics that provide pathways to further study is also falling. Pedagogical approaches that improve students' attitudes to mathematics and knowledge of mathematics are required. This paper reports on preservice…

There is a broad consensus that beginning teachers of mathematics need a strong foundation in mathematical knowledge for teaching (MKT), defined as the mathematical knowledge required to recognize, understand, and respond to the mathematical work of teaching one must engage in. One recurrent challenge in teacher education is how to provide support…

Paying attention to the planning of lessons represents a crucial teaching task. This paper analyses teachers' framing of lesson objectives and their descriptions of how they would introduce particular mathematics topics. Connections between the objectives and the instructional strategies employed, were also studied. The study involved 75 South…

This paper reports on the novel use of classroom videos by 71 pre-service teachers enrolled in a one-year graduate diploma pre-service teacher education program across three Australian universities. The classroom videos were of an experienced teacher delivering a Year-6 mathematics lesson. Students observed, discussed and debated practices that…

In this paper we frame our observations in enactivism, specifically problem posing, to propose the notion of problem drift as a method to analyze the curriculum generating actions of small group learning systems in relation to teacher interventions intended to trigger specific content goals. Teacher attentiveness to problem drift is suggested to…

In the process of experiential learning, students acquire skills and values as the consequence of a direct experience. Experiential learning draws on senses, emotions, and cognition and appeals to learners' entire being. Such learning, by nature, enables the development of a variety of capabilities, such as planning, teamwork, coping with…

This article will focus on early childhood education and pedagogy in the new millennium. The context is Sweden and Swedish preschool, where a change in the school law a few years ago also resulted in a revision of the preschool curriculum. "Teaching" is one of the new notions that has not previously been used in the preschool context. In…

For more than 50 years, the International Association for the Evaluation of Educational Achievement (IEA) has been instrumental in developing an analytical model for understanding the relationships between educational policy (the intended curriculum), classroom and instructional practices (the implemented curriculum), and educational learning…

Ten years ago, the author wrote a short piece entitled "Mathematics and numeracy--Is there a difference?". In mathematics, many put an emphasis on the content concepts and skills contained typically in strands such as Algebra, Number, Geometry, etc. Others argued that "mathematics" was about the "search for pattern" and that the key elements of…

Curriculum standards provide classroom teachers with frameworks to guide instruction during the academic year and throughout a student's schooling. Unfortunately, standards are misconstrued as all-encompassing--as a compendium of all mathematics content that can and should be taught to students. Such a view is unfortunate. Mathematics teachers…

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…

This manual is designed to aid training classroom staff members in training new Behavior Analysis Follow Through teachers. Behavior Analysis Follow Through was designed to meet the educational needs of low-income students in the kindergarten through third grades and was validated as an effective and exemplary educational program by the U. S.…

This document presents the scope and outline for an undergraduate course in mathematics education designed to teach methods of teaching secondary mathematics. After a course description and rationale, the essence of the course is divided into two parts: course objectives and a topical outline. The first part includes objectives in the areas of…

The process of applying Bloom's Taxonomy of Educational Objectives to developmental math classes is described in this paper. The first section provides background and identifies the six steps in the cognitive domain, arranged from the lowest to the most complex level of learning, as knowledge, comprehension, application, analysis, synthesis, and…