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…

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…

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…

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…

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…

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…

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…

When marking GCSE data handling coursework, the author was repeatedly reminded just how poor the level of statistical understanding is among students. In response to a feeling that the teaching of handling data topics was limited, the author and her colleague designed a project with Y8 students to try to teach statistics for a deeper…

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…

Readiness activities for entry into first grade are outlined and discussed in this teacher's guide for planning and implementing a relevant curriculum for early childhood. Designed to focus on language, mathematics, science, and social studies, the activities described are divided into two major subject areas: language and mathematics. The…

This teacher's guide contains the following sections: Teacher Objectives; Student Objectives; Teacher Aid Suggestions; Objectives Overview; Teacher's Guide; Drawing Page; American League Team Addresses; National League Team Addresses; Student Activities; Baseball Field Dimensions; Age Problems; Statistics from a Newspaper; Time Problems; Height…